id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
708.3149 | Convexity of Hypersurfaces in Spherical Spaces | A spherical set is called convex if for every pair of its points there is at
least one minimal geodesic segment that joins these points and lies in the set.
We prove that for n >= 3 a complete locally-convex (topological) immersion of a
connected (n-1)-manifold into the n-sphere is a surjection onto the boundary of
a convex set.
| math.MG math.DG | a spherical set is called convex if for every pair of its points there is at least one minimal geodesic segment that joins these points and lies in the set we prove that for n 3 a complete locallyconvex topological immersion of a connected n1manifold into the nsphere is a surjection onto the boundary of a convex set | [['a', 'spherical', 'set', 'is', 'called', 'convex', 'if', 'for', 'every', 'pair', 'of', 'its', 'points', 'there', 'is', 'at', 'least', 'one', 'minimal', 'geodesic', 'segment', 'that', 'joins', 'these', 'points', 'and', 'lies', 'in', 'the', 'set', 'we', 'prove', 'that', 'for', 'n', '3', 'a', 'complete', 'locallyconvex', 'topological', 'immersion', 'of', 'a', 'connected', 'n1manifold', 'into', 'the', 'nsphere', 'is', 'a', 'surjection', 'onto', 'the', 'boundary', 'of', 'a', 'convex', 'set']] | [-0.19960232042097326, 0.0903114745762713, -0.08162062224161265, 0.010306483341364896, -0.06259091133010927, -0.15218127926747346, 0.05121364582586905, 0.35315502015070926, -0.30078193646502394, -0.13456814964141312, 0.12866790177388887, -0.36821392846518547, -0.10714009130004279, 0.1786516826631951, -0.09859377615543179, -0.007897003330009315, 0.1012974514481451, 0.11722067922979978, -0.06100108489747448, -0.23098014113653836, 0.374716163773475, -0.1755996484887497, 0.15988939689424145, 0.07144307072178044, 0.18336944789465132, 0.0029524190126564995, 0.07322829215112946, 0.09030714870334186, -0.1286137686364437, 0.12253290806607954, 0.23538377388091436, 0.19885036019720778, 0.27430364072065927, -0.35416137251013424, -0.1535567230352297, 0.2087734928354621, 0.09295291784380016, -0.030343154240560173, -0.037049687182498646, -0.1979887900966348, 0.17487166076095711, -0.04538311228027631, -0.14890986765285247, 0.01789927684926781, 0.09754140622078858, -0.06479507300135648, -0.2651712521629665, -0.07338379989859872, 0.11926259391074037, 0.05131442704617351, -0.03481927830605479, -0.04243415738616524, -0.11181150542588197, 0.08050407938948222, -0.07279235565761939, 0.1644600930158049, 0.06824873525003003, -0.040082356844354294, -0.06919239888545768, 0.40579675313823954, -0.006360965620340972, -0.2692077349036418, 0.1599193410947919, -0.15081955879477077, -0.12613679693433746, 0.17942810106765608, 0.11564115715887525, 0.12931187344907685, -0.1029333859393052, 0.1733243271441536, -0.1463310186377855, 0.1279418516647199, 0.10191130695928788, -0.05360806042906539, 0.22486399138217855, 0.17969619861707606, 0.1894678505065305, 0.16026900525622326, -0.05573884689586301, -0.0128024164908405, -0.4028773359825899, -0.21162493141560718, -0.23631735452739844, 0.08506727295702901, -0.1350786229031028, -0.22401290695215093, 0.37878445869889754, -0.0029866658472295464, 0.23625399098442545, 0.10735261867400901, 0.25113027279490024, 0.04365641085289475, 0.045923470816542876, 0.15623603083578677, 0.14121400109684928, 0.07921402385972183, -0.09616214332395587, -0.11411366911187511, -0.023151145934865905, 0.19554246524509428] |
708.315 | Unrecognized Backscattering in Low Energy Beta Spectroscopy | We present studies on electron backscattering from the surface of plastic
scintillator beta detectors. By using a setup of two detectors coaxial with a
strong external magnetic field - one detector serving as primary detector, the
other as veto-detector to detect backscattering - we investigate amount and
spectrum of unrecognized backscattering, i.e. events where only one detector
recorded a trigger signal. The implications are important for low energy
particle physics experiments.
| physics.ins-det | we present studies on electron backscattering from the surface of plastic scintillator beta detectors by using a setup of two detectors coaxial with a strong external magnetic field one detector serving as primary detector the other as vetodetector to detect backscattering we investigate amount and spectrum of unrecognized backscattering ie events where only one detector recorded a trigger signal the implications are important for low energy particle physics experiments | [['we', 'present', 'studies', 'on', 'electron', 'backscattering', 'from', 'the', 'surface', 'of', 'plastic', 'scintillator', 'beta', 'detectors', 'by', 'using', 'a', 'setup', 'of', 'two', 'detectors', 'coaxial', 'with', 'a', 'strong', 'external', 'magnetic', 'field', 'one', 'detector', 'serving', 'as', 'primary', 'detector', 'the', 'other', 'as', 'vetodetector', 'to', 'detect', 'backscattering', 'we', 'investigate', 'amount', 'and', 'spectrum', 'of', 'unrecognized', 'backscattering', 'ie', 'events', 'where', 'only', 'one', 'detector', 'recorded', 'a', 'trigger', 'signal', 'the', 'implications', 'are', 'important', 'for', 'low', 'energy', 'particle', 'physics', 'experiments']] | [-0.11876983319876565, 0.1902816043687327, -0.027793200330480057, 0.07010714302989929, -0.01438872576074894, -0.21530472767292796, -0.02624203759478405, 0.35483335216036616, -0.1891915240626344, -0.39525760633542256, 0.0837181295021711, -0.39483400639694405, -0.0808720343390151, 0.2197825193648254, 0.028853704524568886, 0.059444577049683124, 0.07882987887269872, 0.032641597174327165, -0.03819868556114242, -0.1087641259895035, 0.2727983784314026, 0.1653058071319452, 0.2964119977071224, 0.05170547833447071, 0.14212550518705563, 0.045543788391275, -0.049512694535010005, -0.0008686792297179208, -0.06151693856672329, -0.0005236856146332095, 0.2756219737827504, 0.05246460538439672, 0.16402196215794368, -0.4957935072700767, -0.21787675655008676, 0.09205537660540465, 0.07598409878418726, 0.052101911018219066, -0.13846815159195103, -0.3083828004241428, 0.05061408004942624, -0.17665130638188736, -0.11228858635021265, 0.0313598738901098, -0.0459663348241627, 0.042750805753337985, -0.24186584830064983, 0.02368823271450203, 0.017472698633997318, 0.05112298999858253, -0.03881131498800481, -0.07695978462887819, 0.03648041680400424, 0.0675446649068309, 0.09587763186872882, -0.0009081094758585095, 0.23845721233417005, -0.16215359494911835, -0.09930565328720738, 0.30686162757303787, -0.03291644074488431, -0.1382347683367484, 0.23534101358039633, -0.21249216436819338, -0.05003432213219211, 0.20002002174527767, 0.20739189455943072, 0.0764579364536878, -0.17774027233998127, -0.004260473751534899, 0.02408357601448455, 0.18451841079684742, 0.08525049801135216, 0.08484248956665397, 0.25012446077102246, 0.2575904918177163, 0.062158722286660445, 0.14566029896976782, -0.25521669370423566, 0.06393536791780635, -0.33891839298474435, -0.13681447153965778, -0.1811129071010167, 0.04885674679569681, 0.024104527978659675, -0.13857555904370897, 0.39583329853656535, 0.12842983104672065, 0.16705611893249786, -0.09210645079420988, 0.3304365578052752, 0.02663728248615585, 0.10079758942318971, -0.025490863748606953, 0.29408277411815054, 0.12508983521462036, 0.08564971922212006, -0.22242518249036305, 0.03223932707709644, 0.0035074650864664685] |
708.3151 | Natural Frobenius Submanifolds | I.A.B. Strachan introduced the notion of a natural Frobenius submanifold of a
Frobenius manifold and gave a sufficient but not necessary condition for a
submanifold to be a natural Frobenius submanifold. This paper will give a
necessary and sufficient condition and classify the natural Frobenius
hypersurfaces.
| math.SG math.DG | iab strachan introduced the notion of a natural frobenius submanifold of a frobenius manifold and gave a sufficient but not necessary condition for a submanifold to be a natural frobenius submanifold this paper will give a necessary and sufficient condition and classify the natural frobenius hypersurfaces | [['iab', 'strachan', 'introduced', 'the', 'notion', 'of', 'a', 'natural', 'frobenius', 'submanifold', 'of', 'a', 'frobenius', 'manifold', 'and', 'gave', 'a', 'sufficient', 'but', 'not', 'necessary', 'condition', 'for', 'a', 'submanifold', 'to', 'be', 'a', 'natural', 'frobenius', 'submanifold', 'this', 'paper', 'will', 'give', 'a', 'necessary', 'and', 'sufficient', 'condition', 'and', 'classify', 'the', 'natural', 'frobenius', 'hypersurfaces']] | [-0.23112680549915557, -0.00013246456965925577, -0.09537382654683746, 0.1595968237911027, -0.162635520586501, -0.1984802964143455, -0.04144709792909334, 0.2581484559113565, -0.2685825112073318, -0.22853760729017464, 0.11355199231563703, -0.09822668337627598, -0.1928188636413087, 0.09124766016864906, -0.2794952955825821, -0.007620681563149328, 0.1514985669485253, 0.1430100745966901, -0.12768295117775383, -0.2981378765290846, 0.44004353654631617, 0.061851183580153665, 0.19530085095649827, 0.14681299990447966, 0.2136561042710167, -0.08336640758763837, 0.06786823306111214, -0.011575886109114988, -0.25837493614982004, 0.096751910512862, 0.2820213220851577, 0.175270092714092, 0.2658129234433822, -0.4051596018607202, -0.07298462363162442, 0.2922002304871769, 0.11640128403213686, 0.005428439816055091, -0.018013826753620222, -0.3026648511295207, 0.14293222668904648, -0.08558483324621034, -0.15493600690008505, -0.13982969164119466, 0.042362382433012775, -0.05501441755230822, -0.36941874348153564, -0.04408420648668771, 0.1916455277039305, 0.1835741506403555, -0.06373379358758582, -0.030212067189099995, -0.031134701136540134, 0.025200967768045222, -0.07150030731345, 0.07408145983177035, 0.08251893980954976, 0.002972061416822607, -0.0021861411793076472, 0.40530409032235976, -0.028143697215811066, -0.29166143055519334, 0.1262466365714436, -0.09622848402890984, -0.11625668843803198, 0.10340905458787861, 0.08551776085210883, 0.16372871512304182, -0.15440660964130706, 0.13375066615180517, -0.11103878494190134, 0.027966025447391945, 0.09477127889049766, 0.015174398198723793, 0.10008736996931712, 0.08189606192805197, 0.2093971809688652, 0.12275405435407859, 0.0002561351689307586, 0.04167172596182512, -0.40978526340230653, -0.27631404269081744, -0.11537905851298053, 0.19303496164787287, -0.08602706506834416, -0.1918031871318817, 0.3953698837886686, 0.016992450975205586, 0.24666003789752722, 0.13794112947020357, 0.2321768928086385, 0.0009739871577197766, 0.05518538368177479, 0.06739034999981927, 0.10012525303856186, 0.2867602074275846, 0.06592157624823891, -0.04434619277067806, -0.054247117621581194, 0.14659306888832993] |
708.3152 | An asymptotically stable scheme for diffusive coagulation-fragmentation
models | This paper is devoted to the analysis of a numerical scheme for the
coagulation and fragmentation equation with diffusion in space. A finite volume
scheme is developed, based on a conservative formulation of the space
nonhomogeneous coagulation-fragmentation model, it is shown that the scheme
preserves positivity, total volume and global steady states. Finally, several
numerical simulations are performed to investigate the long time behavior of
the solution.
| math.NA | this paper is devoted to the analysis of a numerical scheme for the coagulation and fragmentation equation with diffusion in space a finite volume scheme is developed based on a conservative formulation of the space nonhomogeneous coagulationfragmentation model it is shown that the scheme preserves positivity total volume and global steady states finally several numerical simulations are performed to investigate the long time behavior of the solution | [['this', 'paper', 'is', 'devoted', 'to', 'the', 'analysis', 'of', 'a', 'numerical', 'scheme', 'for', 'the', 'coagulation', 'and', 'fragmentation', 'equation', 'with', 'diffusion', 'in', 'space', 'a', 'finite', 'volume', 'scheme', 'is', 'developed', 'based', 'on', 'a', 'conservative', 'formulation', 'of', 'the', 'space', 'nonhomogeneous', 'coagulationfragmentation', 'model', 'it', 'is', 'shown', 'that', 'the', 'scheme', 'preserves', 'positivity', 'total', 'volume', 'and', 'global', 'steady', 'states', 'finally', 'several', 'numerical', 'simulations', 'are', 'performed', 'to', 'investigate', 'the', 'long', 'time', 'behavior', 'of', 'the', 'solution']] | [-0.13250711391186482, 0.04271386869585336, -0.13458618389637167, 0.046487231599862004, -0.026909970247478626, -0.05871850257016607, 0.015494823485348762, 0.34148917953247454, -0.26902844701240314, -0.23469335179942757, 0.1456168679322408, -0.22477143071591854, -0.1339469608753475, 0.1770998369728618, -0.009057264820213861, 0.12384264469980749, 0.08268766137145793, -0.014018608840988643, -0.06414186681704179, -0.26281035531993346, 0.3450337344356604, 0.06523995813149125, 0.29884825930444164, 0.07287886697771166, 0.17203980560567397, -0.06365093864750729, -0.08479422775667105, 0.05010509511730425, -0.1854076208725942, 0.08115018536458347, 0.1542147964103592, 0.07217394213762078, 0.31419729480325287, -0.4182276858378257, -0.26460015376223556, 0.09103978641588352, 0.11859445891746168, 0.13147308174242725, -0.04504752278140287, -0.24731039247517264, 0.10375368084980925, -0.19835351118400915, -0.15186443013041767, -0.11014364474911743, 0.023052604646602675, 0.02072236441951523, -0.2902575020692242, 0.09848110338693845, 0.030752615902378266, -0.010604670410280797, -0.09983028273390078, -0.026511021497061672, -0.02464686892926693, 0.058645349067163226, 0.03826334637610603, -0.0036846733367098356, 0.06852076244332007, -0.0618312432076226, -0.06285683752329492, 0.39958797175604016, -0.06411590594572446, -0.27847781588337317, 0.20253996684827577, -0.1270092867259214, -0.09886146867091754, 0.19200095589925995, 0.18097634243764985, 0.17824686560501804, -0.15203806026769218, 0.09392928343036894, -0.0738553176564512, 0.17373174829269522, -0.006787779567234997, -0.023010855019370568, 0.08382309406106152, 0.24155137304272226, 0.09817419960094032, 0.13149927838517825, -0.05550722826234023, -0.1846059510665042, -0.3464950214126217, -0.18113587907717021, -0.17495083877010575, 0.02284504755559975, -0.0501904080812159, -0.1689568676845928, 0.34834197121408444, 0.12305370235899046, 0.16203191510832576, 0.08463550361095747, 0.30481311928397464, 0.15043955513123256, -0.003827742436455924, 0.07387837493764375, 0.1739857432453323, 0.16156714696979232, 0.12803359903089367, -0.28035933259568774, 0.05354354819004883, 0.15386470190402288] |
708.3153 | Symmetries and conservation laws in Lagrangian gauge theories with
applications to the mechanics of black holes and to gravity in three
dimensions | The treatment of exact conservation laws in Lagrangian gauge theories
constitutes the main axis of the first part of the thesis. The formalism is
developed as a self-consistent theory but is inspired by earlier works, mainly
by cohomological results, covariant phase space methods and by the Hamiltonian
formalism. The thermodynamical properties of black holes, especially the first
law, are studied in a general geometrical setting and are worked out for
several black objects: black holes, strings and rings. Also, the geometrical
and thermodynamical properties of a new family of black holes with closed
timelike curves in three dimensions are described.
The second part of the thesis is the natural generalization of the first part
to asymptotic analyses. We start with a general construction of covariant phase
spaces admitting asymptotically conserved charges. The representation of the
asymptotic symmetry algebra by a covariant Poisson bracket among the conserved
charges is then defined and is shown to admit generically central extensions.
The asymptotic structures of three three-dimensional spacetimes are then
studied in detail and the consequences for quantum gravity in three dimensions
are discussed.
| hep-th | the treatment of exact conservation laws in lagrangian gauge theories constitutes the main axis of the first part of the thesis the formalism is developed as a selfconsistent theory but is inspired by earlier works mainly by cohomological results covariant phase space methods and by the hamiltonian formalism the thermodynamical properties of black holes especially the first law are studied in a general geometrical setting and are worked out for several black objects black holes strings and rings also the geometrical and thermodynamical properties of a new family of black holes with closed timelike curves in three dimensions are described the second part of the thesis is the natural generalization of the first part to asymptotic analyses we start with a general construction of covariant phase spaces admitting asymptotically conserved charges the representation of the asymptotic symmetry algebra by a covariant poisson bracket among the conserved charges is then defined and is shown to admit generically central extensions the asymptotic structures of three threedimensional spacetimes are then studied in detail and the consequences for quantum gravity in three dimensions are discussed | [['the', 'treatment', 'of', 'exact', 'conservation', 'laws', 'in', 'lagrangian', 'gauge', 'theories', 'constitutes', 'the', 'main', 'axis', 'of', 'the', 'first', 'part', 'of', 'the', 'thesis', 'the', 'formalism', 'is', 'developed', 'as', 'a', 'selfconsistent', 'theory', 'but', 'is', 'inspired', 'by', 'earlier', 'works', 'mainly', 'by', 'cohomological', 'results', 'covariant', 'phase', 'space', 'methods', 'and', 'by', 'the', 'hamiltonian', 'formalism', 'the', 'thermodynamical', 'properties', 'of', 'black', 'holes', 'especially', 'the', 'first', 'law', 'are', 'studied', 'in', 'a', 'general', 'geometrical', 'setting', 'and', 'are', 'worked', 'out', 'for', 'several', 'black', 'objects', 'black', 'holes', 'strings', 'and', 'rings', 'also', 'the', 'geometrical', 'and', 'thermodynamical', 'properties', 'of', 'a', 'new', 'family', 'of', 'black', 'holes', 'with', 'closed', 'timelike', 'curves', 'in', 'three', 'dimensions', 'are', 'described', 'the', 'second', 'part', 'of', 'the', 'thesis', 'is', 'the', 'natural', 'generalization', 'of', 'the', 'first', 'part', 'to', 'asymptotic', 'analyses', 'we', 'start', 'with', 'a', 'general', 'construction', 'of', 'covariant', 'phase', 'spaces', 'admitting', 'asymptotically', 'conserved', 'charges', 'the', 'representation', 'of', 'the', 'asymptotic', 'symmetry', 'algebra', 'by', 'a', 'covariant', 'poisson', 'bracket', 'among', 'the', 'conserved', 'charges', 'is', 'then', 'defined', 'and', 'is', 'shown', 'to', 'admit', 'generically', 'central', 'extensions', 'the', 'asymptotic', 'structures', 'of', 'three', 'threedimensional', 'spacetimes', 'are', 'then', 'studied', 'in', 'detail', 'and', 'the', 'consequences', 'for', 'quantum', 'gravity', 'in', 'three', 'dimensions', 'are', 'discussed']] | [-0.16532096508645983, 0.12224178030850232, -0.098292273633923, 0.11267635247152999, -0.07380085387164263, -0.1076623064643338, -0.04680692082083172, 0.29223700644170547, -0.1815468843676438, -0.2575513537438041, 0.08248794525128517, -0.26821573476888527, -0.16566818564337837, 0.15757572772856082, -0.0734407038772633, 0.04783393300102396, -0.027153432088806318, 0.057967858309265825, -0.12122380746610834, -0.24901879755831555, 0.39538517380287636, 0.050088021067454795, 0.2475451803972008, -0.006510592158369267, 0.10782566325203902, -0.012916705141471729, -0.048729589064888536, 0.06373434219729973, -0.15278253627642577, 0.10389619196626199, 0.22966317745512196, 0.07555930763071413, 0.18382975059299014, -0.4156381965650873, -0.21650997435179467, 0.054520105256169044, 0.14023861600901644, 0.13147202950711903, -0.04364444101383673, -0.26907053163522104, 0.07503333764320538, -0.18477131647330539, -0.19601665837873541, -0.0974081118760929, 0.05216317827934245, -0.020373357094577334, -0.1850746475142113, 0.08539673371625761, 0.10282128578880338, 0.036359221556559025, -0.10561186774602953, -0.0768447088126546, -0.05568183648261082, 0.08511094072349987, 0.09188637838091764, -0.015966916634335866, 0.12106375618855783, -0.09202075326681466, -0.13911170217604762, 0.39194551161818403, -0.0064190334102746036, -0.24584649315937449, 0.13677303351137726, -0.1699348978224874, -0.194226764001014, 0.07684559508314284, 0.08760642422136763, 0.21244544792459352, -0.1909416509491201, 0.18171865230453366, -0.02194604047095578, 0.05503517342988628, 0.08387121646948036, 0.05498202391887259, 0.26000593598026434, 0.10001870634764927, 1.59546105160239e-05, 0.15856609093887186, 0.014895306305846621, -0.17977376646961687, -0.3888832268032415, -0.17150252767587215, -0.15196988112113094, 0.056910666148306914, -0.10447979392564227, -0.1520647008352442, 0.3845104121253183, 0.0746394205576025, 0.1450266355483983, 0.05602184915143317, 0.25878809519863905, 0.10056877126421995, 0.03402975822659981, 0.06915095239332285, 0.25795028755924976, 0.20859632798527156, 0.08458792886153914, -0.16782751859783823, -0.05998325059370482, 0.1745343846024544] |
708.3154 | Two-way classical communication remarkably improves local
distinguishability | We analyze the difference in the local distinguishability among the following
three restrictions; (i) Local operations and only one-way classical
communications (one-way LOCC) are permitted. (ii) Local operations and two-way
classical communications (two-way LOCC) are permitted. (iii) All separable
operations are permitted. We obtain two main results concerning the
discrimination between a given bipartite pure state and the completely mixed
state with the condition that the given state should be detected perfectly. As
the first result, we derive the optimal discrimination protocol for a bipartite
pure state in the cases (i) and (iii). As the second result, by constructing a
concrete two-way local discrimination protocol, it is proven that the case (ii)
is much better than the case (i), i.e., two-way classical communication
remarkably improves the local distinguishability in comparison with one-way
classical communication at least for a low-dimensional bipartite pure state.
| quant-ph | we analyze the difference in the local distinguishability among the following three restrictions i local operations and only oneway classical communications oneway locc are permitted ii local operations and twoway classical communications twoway locc are permitted iii all separable operations are permitted we obtain two main results concerning the discrimination between a given bipartite pure state and the completely mixed state with the condition that the given state should be detected perfectly as the first result we derive the optimal discrimination protocol for a bipartite pure state in the cases i and iii as the second result by constructing a concrete twoway local discrimination protocol it is proven that the case ii is much better than the case i ie twoway classical communication remarkably improves the local distinguishability in comparison with oneway classical communication at least for a lowdimensional bipartite pure state | [['we', 'analyze', 'the', 'difference', 'in', 'the', 'local', 'distinguishability', 'among', 'the', 'following', 'three', 'restrictions', 'i', 'local', 'operations', 'and', 'only', 'oneway', 'classical', 'communications', 'oneway', 'locc', 'are', 'permitted', 'ii', 'local', 'operations', 'and', 'twoway', 'classical', 'communications', 'twoway', 'locc', 'are', 'permitted', 'iii', 'all', 'separable', 'operations', 'are', 'permitted', 'we', 'obtain', 'two', 'main', 'results', 'concerning', 'the', 'discrimination', 'between', 'a', 'given', 'bipartite', 'pure', 'state', 'and', 'the', 'completely', 'mixed', 'state', 'with', 'the', 'condition', 'that', 'the', 'given', 'state', 'should', 'be', 'detected', 'perfectly', 'as', 'the', 'first', 'result', 'we', 'derive', 'the', 'optimal', 'discrimination', 'protocol', 'for', 'a', 'bipartite', 'pure', 'state', 'in', 'the', 'cases', 'i', 'and', 'iii', 'as', 'the', 'second', 'result', 'by', 'constructing', 'a', 'concrete', 'twoway', 'local', 'discrimination', 'protocol', 'it', 'is', 'proven', 'that', 'the', 'case', 'ii', 'is', 'much', 'better', 'than', 'the', 'case', 'i', 'ie', 'twoway', 'classical', 'communication', 'remarkably', 'improves', 'the', 'local', 'distinguishability', 'in', 'comparison', 'with', 'oneway', 'classical', 'communication', 'at', 'least', 'for', 'a', 'lowdimensional', 'bipartite', 'pure', 'state']] | [-0.16188248651574405, 0.14297645958468422, -0.046858503463560006, 0.06569569918218816, 0.0030131633360673425, -0.288112275354879, 0.11035963172801364, 0.34089748466282455, -0.280376450307864, -0.2718923893973599, 0.09664067058105835, -0.23131334076924118, -0.10275097412194951, 0.1786600901551781, -0.08336761316963354, 0.06220332985009316, 0.06156324670636948, 0.04870454496769628, -0.07631559023620482, -0.2580114092782769, 0.3136360597022822, -0.0016414845218016229, 0.32649642206780927, -0.016510662671939378, 0.019301325640260752, 0.05843778889713166, -0.03807329061821523, 0.022582321059750207, -0.11119738207774607, 0.07899795276847418, 0.2766990693004041, 0.20467175450176, 0.22596622501093316, -0.4110862860508578, -0.186585910411709, 0.19886831993328957, 0.0626844382110301, 0.15903392136359298, 0.004015074083647153, -0.2904214420336181, 0.030995801810181738, -0.1806539106838615, -0.051572539394354106, -0.03166048831148991, -0.008187941105423075, -0.018150187786963676, -0.278966344735572, 0.08162863210743805, 0.12259813140533392, 0.04114669844718047, -0.016928742941416487, -0.05844701396983484, -0.020936382213004038, 0.1460172086396635, -0.10262531846512477, -0.029931405423091015, 0.062374469551953, -0.12673506918560032, -0.17452726340000058, 0.3577646320082352, -0.0410059379323748, -0.1896119479657295, 0.21658852085238323, -0.099519775475336, -0.10594043346502306, 0.042849803943528046, 0.056925445891798696, 0.0814461341081843, -0.12095716007998292, 0.043315689940281, -0.06201306850695327, 0.17227083404669802, 0.08039412489095309, 0.13977952865542662, 0.09156431442349625, 0.08819115077945548, 0.15799028751715807, 0.17383797763532002, -0.04862557728053399, -0.16429547650385384, -0.3370983965078395, -0.19165994747686135, -0.22071736082549429, 0.03972659166246443, -0.06058674035421704, -0.07297290767162619, 0.3710149747309682, 0.04593437440975399, 0.10286656087002075, 0.08572366492311195, 0.326377516638645, 0.09082573923629932, -0.0328823036701143, 0.16982518449346995, 0.28264592784050274, 0.15534106672997258, 0.06112861635268364, -0.19927977702049965, 0.10701153172232525, 0.04652419835525814] |
708.3155 | Sfermion masses in the supersymmetric economical 3-3-1 model | Sfermion masses and eigenstates in the supersymmetric economical 3-3-1 model
are studied. By lepton number conservation, the exotic squarks and
superpartners of ordinary quarks are decoupled. Due to the fact that in the
3-3-1 models, one generation of quarks behaves differently from other two, by
R-parity conservation, the mass mixing matrix of the squarks in this model are
smaller than that in the Minimal Supersymmetric Standard Model (MSSM). Assuming
substantial mixing in pairs of highest flavours, we are able to get mass
spectrum and eigenstates of all the sfermions. In the effective approximation,
the slepton mass splittings in the first two generations, are consistent with
those in the MSSM, namely: $ m^2_{\tilde{l}_L} - m^2_{\tilde{\nu}_{l L}} =
m_W^2 \cos 2\ga$ $(l=e, \mu)$. In addition, within the above effective limit,
there exists degeneracy among sneutrinos in each multiplet:
$m^2_{\tilde{\nu}_{l L}} = m^2_{\tilde{\nu}_{l R}}$. In contradiction to the
MSSM, the squark mass splittings are different for each generation and not to
be $ m_W^2 \cos 2\ga$.
| hep-ph | sfermion masses and eigenstates in the supersymmetric economical 331 model are studied by lepton number conservation the exotic squarks and superpartners of ordinary quarks are decoupled due to the fact that in the 331 models one generation of quarks behaves differently from other two by rparity conservation the mass mixing matrix of the squarks in this model are smaller than that in the minimal supersymmetric standard model mssm assuming substantial mixing in pairs of highest flavours we are able to get mass spectrum and eigenstates of all the sfermions in the effective approximation the slepton mass splittings in the first two generations are consistent with those in the mssm namely m2_tildel_l m2_tildenu_l l m_w2 cos 2ga le mu in addition within the above effective limit there exists degeneracy among sneutrinos in each multiplet m2_tildenu_l l m2_tildenu_l r in contradiction to the mssm the squark mass splittings are different for each generation and not to be m_w2 cos 2ga | [['sfermion', 'masses', 'and', 'eigenstates', 'in', 'the', 'supersymmetric', 'economical', '331', 'model', 'are', 'studied', 'by', 'lepton', 'number', 'conservation', 'the', 'exotic', 'squarks', 'and', 'superpartners', 'of', 'ordinary', 'quarks', 'are', 'decoupled', 'due', 'to', 'the', 'fact', 'that', 'in', 'the', '331', 'models', 'one', 'generation', 'of', 'quarks', 'behaves', 'differently', 'from', 'other', 'two', 'by', 'rparity', 'conservation', 'the', 'mass', 'mixing', 'matrix', 'of', 'the', 'squarks', 'in', 'this', 'model', 'are', 'smaller', 'than', 'that', 'in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'assuming', 'substantial', 'mixing', 'in', 'pairs', 'of', 'highest', 'flavours', 'we', 'are', 'able', 'to', 'get', 'mass', 'spectrum', 'and', 'eigenstates', 'of', 'all', 'the', 'sfermions', 'in', 'the', 'effective', 'approximation', 'the', 'slepton', 'mass', 'splittings', 'in', 'the', 'first', 'two', 'generations', 'are', 'consistent', 'with', 'those', 'in', 'the', 'mssm', 'namely', 'm2_tildel_l', 'm2_tildenu_l', 'l', 'm_w2', 'cos', '2ga', 'le', 'mu', 'in', 'addition', 'within', 'the', 'above', 'effective', 'limit', 'there', 'exists', 'degeneracy', 'among', 'sneutrinos', 'in', 'each', 'multiplet', 'm2_tildenu_l', 'l', 'm2_tildenu_l', 'r', 'in', 'contradiction', 'to', 'the', 'mssm', 'the', 'squark', 'mass', 'splittings', 'are', 'different', 'for', 'each', 'generation', 'and', 'not', 'to', 'be', 'm_w2', 'cos', '2ga']] | [-0.11250620877310152, 0.3179935977433718, 0.039555821536229024, 0.20226431863247266, -0.0415009337657642, -0.18431221208565177, 0.009487957091327952, 0.32196640481932026, -0.18036993582763017, -0.3290138931884881, 0.012047316459187817, -0.3156565451844325, 0.027004905447604196, 0.09101051912763186, -0.002355390672211445, 0.040159906801437176, 0.05553814056141663, -0.015228033810853959, -0.06484626956103791, -0.23107167832973985, 0.29667992721642217, -0.05854294812456975, 0.16302067361051037, 0.039260704035029535, 0.01499286365484999, -0.0560771282942545, 0.016255231150576185, -0.12419377402928207, -0.09165710821614466, 0.08772687561689846, 0.18424556578104404, 0.06303272625251162, 0.09582786504780093, -0.3226508632843052, -0.12081859275443299, 0.19005472022559375, 0.18939465554731508, 0.05890939259120533, -0.03303228766927796, -0.26181113609383183, 0.09978910786129774, -0.23466361725041943, -0.08803152096487822, -0.03433377826135726, -0.031667195627045244, -0.1056117514163376, -0.3153839183760987, 0.1272737708945398, -0.030620859989956502, -0.017738019308495907, 0.010749964989841945, -0.2285089896451081, -0.15475277552200903, 0.031282277405261995, 0.19031982454095756, -0.04459605823841787, 0.082272895740255, -0.17492984430413813, -0.12877038171695124, 0.45866306996153244, -0.1297992100868742, -0.20365757531816922, 0.1606761434866536, -0.18138292017242602, -0.1795536924453993, 0.11039173413488654, 0.13396200410901538, 0.09633995008264337, -0.16902193605539298, 0.20639655952221683, -0.08847478402838592, 0.16119294543299945, 0.07587688607464153, 0.0608667773645251, 0.2555044689906701, 0.16738349559055943, 0.07614008364260137, -0.004976620348245506, -0.014589338845783664, -0.10809166374045515, -0.3791555509692238, -0.10814932704632801, -0.10628663237251702, 0.031106259158696047, -0.0891186305828723, -0.059579575824881756, 0.4152850879055838, 0.1540006420740317, 0.2462280279911694, 0.053941716683367565, 0.2952788488240913, 0.07334938445278714, 0.12997888617758308, 0.052032666533224047, 0.3164154974653596, 0.13118743515843825, 0.08940534505151933, -0.22269846433322996, -0.0676607913157392, 0.10279088714310239] |
708.3156 | Infrared point source variability between the Spitzer and MSX surveys of
the Galactic mid-plane | We present a list of 552 sources with suspected variability, based on a
comparison of mid-infrared photometry from the GLIMPSE I and MSX surveys, which
were carried out nearly a decade apart. We were careful to address issues such
as the difference in resolution and sensitivity between the two surveys, as
well as the differences in the spectral responses of the instruments. We
selected only sources where the IRAC 8.0 and MSX 8.28 micron fluxes differ by
more than a factor of two, in order to minimize contamination from sources
where the difference in fluxes at 8 micron is due to a strong 10 micron
silicate feature. We present a subset of 40 sources for which additional
evidence suggests variability, using 2MASS and MIPSGAL data. Based on a
comparison with the variability flags in the IRAS and MSX Point-Source Catalogs
we estimate that at least a quarter of the 552 sources, and at least half of
the 40 sources are truly variable. In addition, we tentatively confirm the
variability of one source using multi-epoch IRAS LRS spectra. We suggest that
most of the sources in our list are likely to be Asymptotic Giant Branch stars.
| astro-ph | we present a list of 552 sources with suspected variability based on a comparison of midinfrared photometry from the glimpse i and msx surveys which were carried out nearly a decade apart we were careful to address issues such as the difference in resolution and sensitivity between the two surveys as well as the differences in the spectral responses of the instruments we selected only sources where the irac 80 and msx 828 micron fluxes differ by more than a factor of two in order to minimize contamination from sources where the difference in fluxes at 8 micron is due to a strong 10 micron silicate feature we present a subset of 40 sources for which additional evidence suggests variability using 2mass and mipsgal data based on a comparison with the variability flags in the iras and msx pointsource catalogs we estimate that at least a quarter of the 552 sources and at least half of the 40 sources are truly variable in addition we tentatively confirm the variability of one source using multiepoch iras lrs spectra we suggest that most of the sources in our list are likely to be asymptotic giant branch stars | [['we', 'present', 'a', 'list', 'of', '552', 'sources', 'with', 'suspected', 'variability', 'based', 'on', 'a', 'comparison', 'of', 'midinfrared', 'photometry', 'from', 'the', 'glimpse', 'i', 'and', 'msx', 'surveys', 'which', 'were', 'carried', 'out', 'nearly', 'a', 'decade', 'apart', 'we', 'were', 'careful', 'to', 'address', 'issues', 'such', 'as', 'the', 'difference', 'in', 'resolution', 'and', 'sensitivity', 'between', 'the', 'two', 'surveys', 'as', 'well', 'as', 'the', 'differences', 'in', 'the', 'spectral', 'responses', 'of', 'the', 'instruments', 'we', 'selected', 'only', 'sources', 'where', 'the', 'irac', '80', 'and', 'msx', '828', 'micron', 'fluxes', 'differ', 'by', 'more', 'than', 'a', 'factor', 'of', 'two', 'in', 'order', 'to', 'minimize', 'contamination', 'from', 'sources', 'where', 'the', 'difference', 'in', 'fluxes', 'at', '8', 'micron', 'is', 'due', 'to', 'a', 'strong', '10', 'micron', 'silicate', 'feature', 'we', 'present', 'a', 'subset', 'of', '40', 'sources', 'for', 'which', 'additional', 'evidence', 'suggests', 'variability', 'using', '2mass', 'and', 'mipsgal', 'data', 'based', 'on', 'a', 'comparison', 'with', 'the', 'variability', 'flags', 'in', 'the', 'iras', 'and', 'msx', 'pointsource', 'catalogs', 'we', 'estimate', 'that', 'at', 'least', 'a', 'quarter', 'of', 'the', '552', 'sources', 'and', 'at', 'least', 'half', 'of', 'the', '40', 'sources', 'are', 'truly', 'variable', 'in', 'addition', 'we', 'tentatively', 'confirm', 'the', 'variability', 'of', 'one', 'source', 'using', 'multiepoch', 'iras', 'lrs', 'spectra', 'we', 'suggest', 'that', 'most', 'of', 'the', 'sources', 'in', 'our', 'list', 'are', 'likely', 'to', 'be', 'asymptotic', 'giant', 'branch', 'stars']] | [-0.0302253658662383, 0.038865799059231695, -0.07485921510423606, 0.07417195435338773, -0.07748979373524587, -0.05440695961483587, 0.11226431021275811, 0.44586221205118376, -0.16798203275807633, -0.36254313255015475, 0.13614620893584709, -0.394059506087349, -0.0468392787874342, 0.17968439243924925, -0.06560562584214867, -0.04514851740812166, 0.05647796664464598, -0.10728298444778492, -0.007341764148515769, -0.25005841171249554, 0.2918200457516389, 0.06395263939092939, 0.19265433422361428, -0.024234131881250787, 0.0890489838933811, -0.10929334570283596, -0.14624521892804365, -0.004402295556158209, -0.09739587643722562, 0.08156731742171523, 0.2540007136260661, 0.08420245071204427, 0.2189077375838772, -0.31068299937312704, -0.19591737794809236, 0.08097265114864478, 0.151261671159703, 0.05255715532156711, 0.006795808074336189, -0.2636560472015005, 0.0960852918964333, -0.13299652838375037, -0.12451939090417746, 0.04439738451336057, 0.04345780214151511, 0.052676168841142686, -0.2176359682988662, 0.09134585506473787, -0.01852837146128504, 0.163900078410426, -0.13213437569972414, -0.1843239144875835, -0.04689720114931846, 0.09605862799172218, -0.0034053591784471886, 0.07304057720033691, 0.07590519280817647, -0.14864895809919407, -0.10265166240099531, 0.3856450563105635, -0.09796496471367741, -0.0563985153602866, 0.2048395987635908, -0.16690482819834962, -0.19224698200944262, 0.1799081185546059, 0.13696908447413872, 0.1351729099973081, -0.18726098966808655, -0.053653270948845415, 0.014752133136901718, 0.25989745044364376, 0.07398733494277948, 0.1106025865014929, 0.27709178706774346, 0.12233586763628783, 0.04556994962577637, 0.17466845315319893, -0.30924647035172736, -0.013059212697240023, -0.33081113340762947, -0.09371251604185464, -0.1465508642892998, 0.08512831130662026, -0.09132963829414131, -0.0939619714652415, 0.35762985995134866, 0.15633647084618227, 0.18677567950903606, 0.013774378462813985, 0.2759637096323646, 0.03926916364819193, 0.12009725209850913, 0.10866793102513139, 0.31202813845891986, 0.08009326023837694, 0.06948705294814247, -0.1497009479536269, -0.002197057397988362, -0.039298828500203595] |
708.3157 | The Maslov cocycle, smooth structures and real-analytic complete
integrability | This paper studies smooth obstructions to integrability and proves two main
results. First, it is shown that if a smooth topological n-torus admits a
real-analytically completely integrable convex hamiltonian on its cotangent
bundle, then the torus is diffeomorphic to the standard n-torus. This is the
first known result where the smooth structure of a manifold obstructs complete
integrability. Second, it is proven that each one of the Witten-Kreck-Stolz
7-manifolds admit a real-analytically completely integrable geodesic flow on
its cotangent bundle. This gives examples of topological manifolds all of whose
smooth structures admit a real-analytically completely integrable convex
hamiltonian on its cotangent bundle. Additional examples are provided by
Eschenburgh and Aloff-Wallach spaces.
| math.SG math.DS | this paper studies smooth obstructions to integrability and proves two main results first it is shown that if a smooth topological ntorus admits a realanalytically completely integrable convex hamiltonian on its cotangent bundle then the torus is diffeomorphic to the standard ntorus this is the first known result where the smooth structure of a manifold obstructs complete integrability second it is proven that each one of the wittenkreckstolz 7manifolds admit a realanalytically completely integrable geodesic flow on its cotangent bundle this gives examples of topological manifolds all of whose smooth structures admit a realanalytically completely integrable convex hamiltonian on its cotangent bundle additional examples are provided by eschenburgh and aloffwallach spaces | [['this', 'paper', 'studies', 'smooth', 'obstructions', 'to', 'integrability', 'and', 'proves', 'two', 'main', 'results', 'first', 'it', 'is', 'shown', 'that', 'if', 'a', 'smooth', 'topological', 'ntorus', 'admits', 'a', 'realanalytically', 'completely', 'integrable', 'convex', 'hamiltonian', 'on', 'its', 'cotangent', 'bundle', 'then', 'the', 'torus', 'is', 'diffeomorphic', 'to', 'the', 'standard', 'ntorus', 'this', 'is', 'the', 'first', 'known', 'result', 'where', 'the', 'smooth', 'structure', 'of', 'a', 'manifold', 'obstructs', 'complete', 'integrability', 'second', 'it', 'is', 'proven', 'that', 'each', 'one', 'of', 'the', 'wittenkreckstolz', '7manifolds', 'admit', 'a', 'realanalytically', 'completely', 'integrable', 'geodesic', 'flow', 'on', 'its', 'cotangent', 'bundle', 'this', 'gives', 'examples', 'of', 'topological', 'manifolds', 'all', 'of', 'whose', 'smooth', 'structures', 'admit', 'a', 'realanalytically', 'completely', 'integrable', 'convex', 'hamiltonian', 'on', 'its', 'cotangent', 'bundle', 'additional', 'examples', 'are', 'provided', 'by', 'eschenburgh', 'and', 'aloffwallach', 'spaces']] | [-0.22493127674406924, 0.04862319939094809, -0.0909435088583909, 0.07522252176080856, -0.16494200745204446, -0.1792381104389462, -0.0890069594841724, 0.3567133738548247, -0.2937784252363607, -0.11579298199722629, 0.15302766064062304, -0.24602291160134956, -0.2338957956334183, 0.1786132612769757, -0.1715987384097155, 0.03513460610021299, 0.08448647016898618, 0.09807484076196037, -0.12284167252327187, -0.31427602971147817, 0.4505799497486255, -0.06379647714453279, 0.19285755261667756, 0.09973034001203306, 0.198910854402246, -0.04264590627334397, 0.04616442780595683, 0.002526591655823889, -0.17073777406500468, 0.09319778888084747, 0.2697713759027148, 0.05009228565704522, 0.1679446709731064, -0.3772506077833679, -0.1811559019915876, 0.16648494273342979, 0.10776532009466115, -0.0101920622699988, 0.02168282717914927, -0.2919078169031701, 0.07593858054915972, -0.07789528961165236, -0.18160186923715635, -0.12283976826338319, 0.028591858329883684, -0.02141769997638847, -0.1841649764031599, -0.030711732668067336, 0.19495762095128724, 0.04236150779889537, -0.09610109257943279, -0.013491676406883592, -0.15039854512097092, 0.03976610675026927, 0.02133209852997316, 0.1300302651420304, 0.09511599644010357, -0.0021872031310180185, -0.10419375336207791, 0.3794520908641979, -0.029900523791209273, -0.34022087385074806, 0.1399687626997197, -0.11857295346044756, -0.17084775266553695, 0.204247878249222, 0.051244948665961756, 0.1776669496550746, -0.07169013581539872, 0.2253293892221286, -0.11577061152752113, 0.06798029037773473, 0.027978068862725563, -0.030308909739854686, 0.1387857264804936, 0.12417285435260572, 0.1816306970970825, 0.10811124544872672, 0.041570073790386866, -0.1246371422440386, -0.3695343376752502, -0.19068807023449227, -0.18109102331960591, 0.21973541848908323, -0.08915015116495234, -0.21670553905952405, 0.4332830533385277, -0.016865959384589704, 0.2172232250589023, 0.14060265616350381, 0.28527556911726065, 0.04847975086405822, 0.036386005415948566, 0.0795035318497124, 0.1848400957805506, 0.20350135587916257, -0.006100540694464511, -0.1189407731383428, -0.056271898385068964, 0.1909456028765358] |
708.3158 | An expression for stationary distribution in nonequilibrium steady state | We study the nonequilibrium steady state realized in a general stochastic
system attached to multiple heat baths and/or driven by an external force.
Starting from the detailed fluctuation theorem we derive concise and suggestive
expressions for the corresponding stationary distribution which are correct up
to the second order in thermodynamic forces. The probability of a microstate
$\eta$ is proportional to $\exp[{\Phi}(\eta)]$ where
${\Phi}(\eta)=-\sum_k\beta_k\mathcal{E}_k(\eta)$ is the excess entropy change.
Here $\mathcal{E}_k(\eta)$ is the difference between two kinds of conditioned
path ensemble averages of excess heat transfer from the $k$-th heat bath whose
inverse temperature is $\beta_k$. Our expression may be verified experimentally
in nonequilibrium states realized, for example, in mesoscopic systems.
| cond-mat.stat-mech | we study the nonequilibrium steady state realized in a general stochastic system attached to multiple heat baths andor driven by an external force starting from the detailed fluctuation theorem we derive concise and suggestive expressions for the corresponding stationary distribution which are correct up to the second order in thermodynamic forces the probability of a microstate eta is proportional to expphieta where phietasum_kbeta_kmathcale_keta is the excess entropy change here mathcale_keta is the difference between two kinds of conditioned path ensemble averages of excess heat transfer from the kth heat bath whose inverse temperature is beta_k our expression may be verified experimentally in nonequilibrium states realized for example in mesoscopic systems | [['we', 'study', 'the', 'nonequilibrium', 'steady', 'state', 'realized', 'in', 'a', 'general', 'stochastic', 'system', 'attached', 'to', 'multiple', 'heat', 'baths', 'andor', 'driven', 'by', 'an', 'external', 'force', 'starting', 'from', 'the', 'detailed', 'fluctuation', 'theorem', 'we', 'derive', 'concise', 'and', 'suggestive', 'expressions', 'for', 'the', 'corresponding', 'stationary', 'distribution', 'which', 'are', 'correct', 'up', 'to', 'the', 'second', 'order', 'in', 'thermodynamic', 'forces', 'the', 'probability', 'of', 'a', 'microstate', 'eta', 'is', 'proportional', 'to', 'expphieta', 'where', 'phietasum_kbeta_kmathcale_keta', 'is', 'the', 'excess', 'entropy', 'change', 'here', 'mathcale_keta', 'is', 'the', 'difference', 'between', 'two', 'kinds', 'of', 'conditioned', 'path', 'ensemble', 'averages', 'of', 'excess', 'heat', 'transfer', 'from', 'the', 'kth', 'heat', 'bath', 'whose', 'inverse', 'temperature', 'is', 'beta_k', 'our', 'expression', 'may', 'be', 'verified', 'experimentally', 'in', 'nonequilibrium', 'states', 'realized', 'for', 'example', 'in', 'mesoscopic', 'systems']] | [-0.13242219338654845, 0.1868557445880376, -0.10192690367558013, 0.07202798721302196, -0.006832699465487048, -0.13024153600438176, 0.06391652426399534, 0.32217247644004143, -0.2807926376476431, -0.2653531820260894, 0.0481331110061538, -0.3261964524808888, -0.09079602183164837, 0.2150376269389292, -0.0158404681709743, 0.052359287540001846, 0.00593606942163554, 0.0866921407314209, -0.04245348775184879, -0.1398046399035848, 0.3108238660356152, 0.037373742288866335, 0.29241234817428985, 0.04568895265877804, 0.12064539262955294, -0.036107683747954596, 0.0148797842731621, 0.02315593561022673, -0.13517399519577483, 0.0684841424721798, 0.23423717607892006, 0.0017217089352415543, 0.21654767336358674, -0.4347454824737299, -0.20760037803970208, 0.13890768320378022, 0.1035142728520849, 0.12619397978441982, -0.0006777936174908531, -0.24270756055261486, 0.005999590261517284, -0.1824875944337555, -0.14074521287013647, -0.09636664743726707, 0.037015192236786135, 0.034386202159868644, -0.2858698870116305, 0.15015949598713735, 0.08082896660116858, 0.06442113199802203, -0.07490579350459799, -0.08740797495495563, -0.004345285094769619, 0.14750042154723517, 0.018726328361744635, 0.0008273819639895842, 0.19249580612963188, -0.11140882578530462, -0.08588640708867983, 0.29938009130620513, -0.10253853677602258, -0.21305182654950244, 0.17402532673658472, -0.15127435894508925, -0.09171392266838768, 0.14930851668746115, 0.12487620497383525, 0.12267660389319236, -0.2513260277005557, 0.03411229695008511, -0.0010304093169413995, 0.13598604458949973, 0.06553933691564147, 0.011993025445322741, 0.24936511260262859, 0.11847571098184753, 0.04553916163864397, 0.23926833981678552, -0.05572116502047142, -0.18432228663222533, -0.34442902124480335, -0.16835450537276464, -0.24808428398873134, 0.13739190630127338, -0.07473689789008502, -0.14027422127231223, 0.3420891769743899, 0.14465812083320675, 0.1781012233451148, 0.04030982820016863, 0.25070354004747397, 0.2119876802648705, -0.01190650876977037, 0.09750791235226337, 0.1839448220192272, 0.16673282139812745, 0.10831414214465941, -0.2883767532296239, 0.06469067393271165, 0.06102484944232992] |
708.3159 | Four-dimensional double singular oscillator | The Schr\"odinger equation for the four-dimensional double singular
oscillator is separable in Eulerian, doble polar and spheroidal coordinates in
${\rm I R}^4$. It is shown that the coefficients for the expansion of double
polar basis in terms of the Eulerian basis can be expressed through the
Clebsch-Gordan coefficients of the group SU(2) analytically continued to real
values of their arguments. The coefficients for the expansions of the
spheroidal basis in terms of the Eulerian and double polar bases are proved to
satisfy three-term recursion relations.
| quant-ph | the schrodinger equation for the fourdimensional double singular oscillator is separable in eulerian doble polar and spheroidal coordinates in rm i r4 it is shown that the coefficients for the expansion of double polar basis in terms of the eulerian basis can be expressed through the clebschgordan coefficients of the group su2 analytically continued to real values of their arguments the coefficients for the expansions of the spheroidal basis in terms of the eulerian and double polar bases are proved to satisfy threeterm recursion relations | [['the', 'schrodinger', 'equation', 'for', 'the', 'fourdimensional', 'double', 'singular', 'oscillator', 'is', 'separable', 'in', 'eulerian', 'doble', 'polar', 'and', 'spheroidal', 'coordinates', 'in', 'rm', 'i', 'r4', 'it', 'is', 'shown', 'that', 'the', 'coefficients', 'for', 'the', 'expansion', 'of', 'double', 'polar', 'basis', 'in', 'terms', 'of', 'the', 'eulerian', 'basis', 'can', 'be', 'expressed', 'through', 'the', 'clebschgordan', 'coefficients', 'of', 'the', 'group', 'su2', 'analytically', 'continued', 'to', 'real', 'values', 'of', 'their', 'arguments', 'the', 'coefficients', 'for', 'the', 'expansions', 'of', 'the', 'spheroidal', 'basis', 'in', 'terms', 'of', 'the', 'eulerian', 'and', 'double', 'polar', 'bases', 'are', 'proved', 'to', 'satisfy', 'threeterm', 'recursion', 'relations']] | [-0.18720463971424448, 0.09845617175146583, -0.10166293715814217, 0.06467850793740668, -0.10211518165167599, -0.05323073123803451, -0.04798949645122602, 0.3185004150672328, -0.2782522672343822, -0.16687649367598906, 0.07152045135652381, -0.22832962121520678, -0.1891960423173649, 0.21199410251297413, 0.002979806469132503, 0.049449452325331676, 0.01845718763070181, 0.05724783332109274, -0.14491167281743228, -0.28352529276162386, 0.27633663661600577, 0.005796133313283679, 0.21032150896886984, -0.04643559641581738, 0.1013716911630971, 3.435253720020964e-05, -0.056908616940269156, -0.033456603153830484, -0.13276907006998262, 0.14333716191218368, 0.26649451734764235, 0.06336472396339689, 0.14324592507355624, -0.44323337809847935, -0.11650161520533618, 0.08068233277160852, 0.2112579701435087, 0.05698249116539955, 0.01877778004633174, -0.2310118439795804, 0.03871256965656011, -0.1935638857650615, -0.21120687289207818, -0.12199080613486114, 0.07261799859060418, 0.10530176695292107, -0.2979051945065813, 0.12501594046175124, 0.049254993098743614, 0.056841408844948524, -0.0398139914607219, -0.15013160605338358, -0.04789146981645553, 0.07798800893600683, 0.012589219731818872, 0.010440672986165044, 0.03474594102728935, -0.1144765798734235, -0.07180159118780423, 0.43130001152167097, -0.06382093677252886, -0.30460054652454954, 0.08216839876314182, -0.2092461388480539, -0.12629773449485324, 0.09153657400401287, 0.10987921078534175, 0.11683458854843463, -0.11183914460153097, 0.18254670406375745, -0.08910441421487901, 0.07918258650239468, 0.15077654579986952, 0.02875032413950456, 0.1605385747250347, -0.04145630126419876, -0.005482729396871513, 0.09978814525502025, 0.013198951885680713, -0.11641799292660185, -0.35156278281162184, -0.19259363910393967, -0.19606711542777097, 0.024838777347689585, -0.18757266302314488, -0.19505550478511613, 0.3622783816951726, 0.00747425629136463, 0.13787363605418554, 0.031311334299278404, 0.21457981508934781, 0.21225593081631122, 0.08037258845676358, 0.03050426135416187, 0.22751527763016166, 0.22881588258869237, 0.03212105011057463, -0.24372282740660012, 0.0028964071659304735, 0.24610437275398345] |
708.316 | Graphene-like massless Dirac fermions in Harper systems | It is shown that systems described by Harper's equation exhibit a Dirac point
at the center of the spectrum whenever the field parameter is a fraction of
even denominator. The Dirac point is formed by the touching of two subbands,
and the physics around such point is characterized by the relative field only,
as if the latter were null at the reference value. Such behavior is consistent
with the nesting property conjectured by Hofstadter, and its experimental
verification would give support to such hypothesis as well as the
Peierls-Onsager ansatz used to arrive at Harper's equation when crystalline
electrons move in a uniform external magnetic field
| cond-mat.mes-hall | it is shown that systems described by harpers equation exhibit a dirac point at the center of the spectrum whenever the field parameter is a fraction of even denominator the dirac point is formed by the touching of two subbands and the physics around such point is characterized by the relative field only as if the latter were null at the reference value such behavior is consistent with the nesting property conjectured by hofstadter and its experimental verification would give support to such hypothesis as well as the peierlsonsager ansatz used to arrive at harpers equation when crystalline electrons move in a uniform external magnetic field | [['it', 'is', 'shown', 'that', 'systems', 'described', 'by', 'harpers', 'equation', 'exhibit', 'a', 'dirac', 'point', 'at', 'the', 'center', 'of', 'the', 'spectrum', 'whenever', 'the', 'field', 'parameter', 'is', 'a', 'fraction', 'of', 'even', 'denominator', 'the', 'dirac', 'point', 'is', 'formed', 'by', 'the', 'touching', 'of', 'two', 'subbands', 'and', 'the', 'physics', 'around', 'such', 'point', 'is', 'characterized', 'by', 'the', 'relative', 'field', 'only', 'as', 'if', 'the', 'latter', 'were', 'null', 'at', 'the', 'reference', 'value', 'such', 'behavior', 'is', 'consistent', 'with', 'the', 'nesting', 'property', 'conjectured', 'by', 'hofstadter', 'and', 'its', 'experimental', 'verification', 'would', 'give', 'support', 'to', 'such', 'hypothesis', 'as', 'well', 'as', 'the', 'peierlsonsager', 'ansatz', 'used', 'to', 'arrive', 'at', 'harpers', 'equation', 'when', 'crystalline', 'electrons', 'move', 'in', 'a', 'uniform', 'external', 'magnetic', 'field']] | [-0.1542459244119181, 0.16047248018994217, -0.09074315921447816, 0.06014938458379003, -0.04707476262535368, -0.15715770944952964, 0.04189844459428319, 0.3166139398923232, -0.2821345711038226, -0.30445224078859956, 0.07735776545457719, -0.2964398968610026, -0.11579539272047225, 0.16869186370943984, 0.013770585431761686, 0.032571940904017535, 0.011851199618762447, 0.08935384167624372, -0.04044344317877577, -0.20760189433182988, 0.3332834491240127, 0.05472396023216702, 0.27002718420477495, 0.021599042814757143, 0.07243081100639842, 0.023205096425399894, 0.07712500244379043, 0.05490777204256682, -0.06613357318378153, 0.008605770784474555, 0.23022614254483154, 0.029470911777267853, 0.2327029445341655, -0.3773926685076384, -0.20382543595152952, 0.05612192359819476, 0.13898339614582558, 0.08006982561200857, -0.05210469013878277, -0.28578569583949587, 0.10756349334315884, -0.11918931122913602, -0.228098807297647, -0.04267360997785415, 0.007245845341544953, 0.011722188272203008, -0.24961454795584792, 0.06878476306086495, 0.07044519211665916, 0.06003540802214827, -0.0739794497023381, -0.10470388414826066, -0.07994687516197917, 0.07181307236979982, 0.07493337080813944, 0.07337506983340496, 0.11558542458251828, -0.1338342187216594, -0.09516210554145454, 0.418715531325766, -0.04968100195927989, -0.18653667948785282, 0.17880030369740865, -0.17970767949840852, -0.06825020410164837, 0.16007934703181187, 0.05849216162182745, 0.052207777520552986, -0.10711388257844928, 0.1375618620454805, -0.062052700347045346, 0.11294311861524226, 0.08087105156765098, 0.001314407405221746, 0.2726712607202076, 0.10716258182545148, 0.07917505617120436, 0.12988490116383347, -0.07502022679407327, -0.07980496134786379, -0.2976182831961307, -0.15611414653027342, -0.2568903797971351, 0.07212910953731765, -0.046060511190167054, -0.18927759510060285, 0.37193658742610186, 0.10793741083360232, 0.226758674771658, -0.0047726422393073635, 0.2302970193503868, 0.19133618536094824, 0.059540993192543586, 0.10219906351662107, 0.2579573893387403, 0.12088488227953868, 0.07604378629808448, -0.18474124707503334, 0.04948100389557935, 0.07758580574854498] |
708.3161 | Ground State Properties of an Asymmetric Hubbard Model for Unbalanced
Ultracold Fermionic Quantum Gases | In order to describe unbalanced ultracold fermionic quantum gases on optical
lattices in a harmonic trap, we investigate an attractive ($U<0$) asymmetric
($t_\uparrow\neq t_\downarrow$) Hubbard model with a Zeeman-like magnetic
field. In view of the model's spatial inhomogeneity, we focus in this paper on
the solution at Hartree-Fock level. The Hartree-Fock Hamiltonian is
diagonalized with particular emphasis on superfluid phases. For the special
case of spin-independent hopping we analytically determine the number of
solutions of the resulting self-consistency equations and the nature of the
possible ground states at weak coupling. Numerical results for unbalanced
Fermi-mixtures are presented within the local density approximation. In
particular, we find a fascinating shell structure, involving normal and
superfluid phases. For the general case of spin-dependent hopping we calculate
the density of states and the possible superfluid phases in the ground state.
In particular, we find a new magnetized superfluid phase.
| cond-mat.str-el | in order to describe unbalanced ultracold fermionic quantum gases on optical lattices in a harmonic trap we investigate an attractive u0 asymmetric t_uparrowneq t_downarrow hubbard model with a zeemanlike magnetic field in view of the models spatial inhomogeneity we focus in this paper on the solution at hartreefock level the hartreefock hamiltonian is diagonalized with particular emphasis on superfluid phases for the special case of spinindependent hopping we analytically determine the number of solutions of the resulting selfconsistency equations and the nature of the possible ground states at weak coupling numerical results for unbalanced fermimixtures are presented within the local density approximation in particular we find a fascinating shell structure involving normal and superfluid phases for the general case of spindependent hopping we calculate the density of states and the possible superfluid phases in the ground state in particular we find a new magnetized superfluid phase | [['in', 'order', 'to', 'describe', 'unbalanced', 'ultracold', 'fermionic', 'quantum', 'gases', 'on', 'optical', 'lattices', 'in', 'a', 'harmonic', 'trap', 'we', 'investigate', 'an', 'attractive', 'u0', 'asymmetric', 't_uparrowneq', 't_downarrow', 'hubbard', 'model', 'with', 'a', 'zeemanlike', 'magnetic', 'field', 'in', 'view', 'of', 'the', 'models', 'spatial', 'inhomogeneity', 'we', 'focus', 'in', 'this', 'paper', 'on', 'the', 'solution', 'at', 'hartreefock', 'level', 'the', 'hartreefock', 'hamiltonian', 'is', 'diagonalized', 'with', 'particular', 'emphasis', 'on', 'superfluid', 'phases', 'for', 'the', 'special', 'case', 'of', 'spinindependent', 'hopping', 'we', 'analytically', 'determine', 'the', 'number', 'of', 'solutions', 'of', 'the', 'resulting', 'selfconsistency', 'equations', 'and', 'the', 'nature', 'of', 'the', 'possible', 'ground', 'states', 'at', 'weak', 'coupling', 'numerical', 'results', 'for', 'unbalanced', 'fermimixtures', 'are', 'presented', 'within', 'the', 'local', 'density', 'approximation', 'in', 'particular', 'we', 'find', 'a', 'fascinating', 'shell', 'structure', 'involving', 'normal', 'and', 'superfluid', 'phases', 'for', 'the', 'general', 'case', 'of', 'spindependent', 'hopping', 'we', 'calculate', 'the', 'density', 'of', 'states', 'and', 'the', 'possible', 'superfluid', 'phases', 'in', 'the', 'ground', 'state', 'in', 'particular', 'we', 'find', 'a', 'new', 'magnetized', 'superfluid', 'phase']] | [-0.18430284440058142, 0.18541244825769665, -0.02151558411703126, 0.0777690873819416, 0.013006143386743656, -0.13675952511393044, 0.058558290281288373, 0.34868545798355177, -0.2069096800565005, -0.23396245002657276, 0.0076840901747345924, -0.2819636448721835, -0.10972687744293107, 0.12260689082306694, 0.052631366399933315, 0.026239254963600193, 0.011940390777404178, 0.024313852079340243, -0.12659750136543602, -0.2177950604976241, 0.34917595203047336, -0.019418895510121006, 0.2828088248824726, 0.08364572697032038, 0.04617579030000592, 0.01794247501147018, 0.08361943209645888, -0.0005391050793536722, -0.17738070172474604, 0.06311816147015085, 0.22388440269884857, -0.06839847990570029, 0.18226258391801473, -0.48678425266981534, -0.19094336720993615, 0.07672852046519824, 0.13681741520740118, 0.19505931418357186, -0.0492413918805079, -0.3091226821503768, -0.046126224725724085, -0.21617924596170243, -0.18677209557531632, -0.1441253627210294, 0.022745299125122135, 0.044816364015911846, -0.2555370431011447, 0.11141206614500906, 0.020803321039699632, 0.03707666006034929, -0.10823115604181698, -0.10270852753685226, -0.005958778125055338, 0.038457069427974215, 0.00011825881354101735, 0.011729530774237116, 0.05496485659925184, -0.18591212921246428, -0.03973422587246392, 0.39343489548319005, -0.09221830298049273, -0.17317930697814293, 0.1767630824382251, -0.16124625101696288, -0.13041409642805588, 0.10778248988567175, 0.172362338364035, 0.10261897062436257, -0.10251407903875862, 0.12368596270433245, -0.06274317543194566, 0.13847126803689394, 0.019164726699460042, 0.044491554239257686, 0.22907436173728168, 0.17829595277825855, 0.07026680726047656, 0.17178532858985182, -0.12920779712523703, -0.1501247320676618, -0.293985247324948, -0.1232625919127875, -0.2086716947601853, 0.01057690132587944, -0.0478032653038398, -0.17947913713319458, 0.43482928076274185, 0.15581388923272568, 0.14638606041720878, -0.041152548529718024, 0.25055770070151717, 0.149721349989804, -0.02335648584635673, 0.051536441531848824, 0.2640895169030569, 0.18351276653136242, 0.06966989066719703, -0.28846279898824245, -0.01863138919157193, 0.08688741583338849] |
708.3162 | Frustrated minority spins in GeNi2O4 | Recently, two consecutive phase transitions were observed, upon cooling, in
an antiferromagnetic spinel GeNi$_2$O$_4$ at $T_{N1}=12.1$ K and $T_{N2}=11.4$
K, respectively \cite{matsuno, crawford}. Using unpolarized and polarized
elastic neutron scattering we show that the two transitions are due to the
existence of frustrated minority spins in this compound. Upon cooling, at
$T_{N1}$ the spins on the $<111>$ \kagome planes order ferromagnetically in the
plane and antiferromagnetically between the planes (phase I), leaving the spins
on the $<111>$ triangular planes that separate the \kagome planes frustrated
and disordered. At the lower $T_{N2}$, the triangular spins also order in the
$<111>$ plane (phase II). We also present a scenario involving exchange
interactions that qualitatively explains the origin of the two purely magnetic
phase transitions.
| cond-mat.str-el | recently two consecutive phase transitions were observed upon cooling in an antiferromagnetic spinel geni_2o_4 at t_n1121 k and t_n2114 k respectively citematsuno crawford using unpolarized and polarized elastic neutron scattering we show that the two transitions are due to the existence of frustrated minority spins in this compound upon cooling at t_n1 the spins on the 111 kagome planes order ferromagnetically in the plane and antiferromagnetically between the planes phase i leaving the spins on the 111 triangular planes that separate the kagome planes frustrated and disordered at the lower t_n2 the triangular spins also order in the 111 plane phase ii we also present a scenario involving exchange interactions that qualitatively explains the origin of the two purely magnetic phase transitions | [['recently', 'two', 'consecutive', 'phase', 'transitions', 'were', 'observed', 'upon', 'cooling', 'in', 'an', 'antiferromagnetic', 'spinel', 'geni_2o_4', 'at', 't_n1121', 'k', 'and', 't_n2114', 'k', 'respectively', 'citematsuno', 'crawford', 'using', 'unpolarized', 'and', 'polarized', 'elastic', 'neutron', 'scattering', 'we', 'show', 'that', 'the', 'two', 'transitions', 'are', 'due', 'to', 'the', 'existence', 'of', 'frustrated', 'minority', 'spins', 'in', 'this', 'compound', 'upon', 'cooling', 'at', 't_n1', 'the', 'spins', 'on', 'the', '111', 'kagome', 'planes', 'order', 'ferromagnetically', 'in', 'the', 'plane', 'and', 'antiferromagnetically', 'between', 'the', 'planes', 'phase', 'i', 'leaving', 'the', 'spins', 'on', 'the', '111', 'triangular', 'planes', 'that', 'separate', 'the', 'kagome', 'planes', 'frustrated', 'and', 'disordered', 'at', 'the', 'lower', 't_n2', 'the', 'triangular', 'spins', 'also', 'order', 'in', 'the', '111', 'plane', 'phase', 'ii', 'we', 'also', 'present', 'a', 'scenario', 'involving', 'exchange', 'interactions', 'that', 'qualitatively', 'explains', 'the', 'origin', 'of', 'the', 'two', 'purely', 'magnetic', 'phase', 'transitions']] | [-0.20968659645525597, 0.2832935830636171, 0.033002744426367754, 0.008545233235604466, -0.013704643342174402, -0.11001959164086886, 0.09586673752529969, 0.4365322457923859, -0.24064267572297268, -0.26518014104676846, 0.025394759410914004, -0.39171294047802435, -0.053308339053843204, 0.11445788880555789, 0.14088759212089436, -0.08073100057320998, -0.09447611119410321, -0.016153167142775378, -0.14851325007836422, -0.26783461501418826, 0.26379723488421675, -0.03677286172849165, 0.27950162518018185, 0.04565393228960388, 0.048458557724639646, 0.05282329360977942, 0.1753779767754198, -0.030239224418246446, -0.17328652602070385, 0.02848159515557169, 0.24057333668138237, -0.12506214810237914, 0.06087417621948138, -0.4427285492107147, -0.11915853923233617, 0.03890007068285672, 0.15571116791727968, 0.12431982048481953, -0.05394834804959094, -0.26757349189715224, -0.019618689599094772, -0.0862603676642346, -0.0741396432066485, -0.05815814009636734, -0.03842182754844177, -0.010736828075111414, -0.20919354565973794, 0.11586082428879645, 0.14799080241252394, 0.12040467023411218, -0.08402040162898537, -0.1567477813115766, -0.08447987162273284, 0.035084046497784495, 0.030217388276981207, 0.08991146154817636, 0.07731357890674297, -0.012590507857360635, -0.1689924895381868, 0.3585850122666472, -0.0019328832145029005, -0.062228161822065337, 0.18109568178716326, -0.21720446112855268, -0.16155188941169812, 0.21037877165563718, 0.1405684580674743, 0.092549262255305, -0.12009064501401882, 0.041814756401650166, -0.024054138534780622, 0.18554588120837673, 0.03314330985480059, -0.006894048410976509, 0.28139770812034104, 0.13818459193997024, 0.036537456083573214, 0.16521868632495904, -0.1763820876915227, -0.12330874682701498, -0.20788442266384968, -0.14672318639374582, -0.20354379695730612, -0.007781940899758029, -0.10162269832720949, -0.1402359188264314, 0.34574376780758886, 0.13038966081598224, 0.20851277102943228, -0.102996341893919, 0.23112196731870258, 0.007609247231949903, 0.01036066996000175, 0.06504573393221788, 0.29184642525295873, 0.21163771625318634, 0.09961820820330822, -0.2838325037174866, 0.05250050130636752, 0.03930101270088926] |
708.3163 | Jeans type analysis of chemotactic collapse | We perform a linear dynamical stability analysis of a general hydrodynamic
model of chemotactic aggregation [Chavanis & Sire, Physica A, in press (2007)].
Specifically, we study the stability of an infinite and homogeneous
distribution of cells against "chemotactic collapse". We discuss the analogy
between the chemotactic collapse of biological populations and the
gravitational collapse (Jeans instability) of self-gravitating systems. Our
hydrodynamic model involves a pressure force which can take into account
several effects like anomalous diffusion or the fact that the organisms cannot
interpenetrate. We also take into account the degradation of the chemical which
leads to a shielding of the interaction like for a Yukawa potential. Finally,
our hydrodynamic model involves a friction force which quantifies the
importance of inertial effects. In the strong friction limit, we obtain a
generalized Keller-Segel model similar to the generalized Smoluchowski-Poisson
system describing self-gravitating Langevin particles. For small frictions, we
obtain a hydrodynamic model of chemotaxis similar to the Euler-Poisson system
describing a self-gravitating barotropic gas. We show that an infinite and
homogeneous distribution of cells is unstable against chemotactic collapse when
the "velocity of sound" in the medium is smaller than a critical value. We
study in detail the linear development of the instability and determine the
range of unstable wavelengths, the growth rate of the unstable modes and the
damping rate, or the pulsation frequency, of the stable modes as a function of
the friction parameter and shielding length. For specific equations of state,
we express the stability criterion in terms of the density of cells.
| physics.bio-ph | we perform a linear dynamical stability analysis of a general hydrodynamic model of chemotactic aggregation chavanis sire physica a in press 2007 specifically we study the stability of an infinite and homogeneous distribution of cells against chemotactic collapse we discuss the analogy between the chemotactic collapse of biological populations and the gravitational collapse jeans instability of selfgravitating systems our hydrodynamic model involves a pressure force which can take into account several effects like anomalous diffusion or the fact that the organisms cannot interpenetrate we also take into account the degradation of the chemical which leads to a shielding of the interaction like for a yukawa potential finally our hydrodynamic model involves a friction force which quantifies the importance of inertial effects in the strong friction limit we obtain a generalized kellersegel model similar to the generalized smoluchowskipoisson system describing selfgravitating langevin particles for small frictions we obtain a hydrodynamic model of chemotaxis similar to the eulerpoisson system describing a selfgravitating barotropic gas we show that an infinite and homogeneous distribution of cells is unstable against chemotactic collapse when the velocity of sound in the medium is smaller than a critical value we study in detail the linear development of the instability and determine the range of unstable wavelengths the growth rate of the unstable modes and the damping rate or the pulsation frequency of the stable modes as a function of the friction parameter and shielding length for specific equations of state we express the stability criterion in terms of the density of cells | [['we', 'perform', 'a', 'linear', 'dynamical', 'stability', 'analysis', 'of', 'a', 'general', 'hydrodynamic', 'model', 'of', 'chemotactic', 'aggregation', 'chavanis', 'sire', 'physica', 'a', 'in', 'press', '2007', 'specifically', 'we', 'study', 'the', 'stability', 'of', 'an', 'infinite', 'and', 'homogeneous', 'distribution', 'of', 'cells', 'against', 'chemotactic', 'collapse', 'we', 'discuss', 'the', 'analogy', 'between', 'the', 'chemotactic', 'collapse', 'of', 'biological', 'populations', 'and', 'the', 'gravitational', 'collapse', 'jeans', 'instability', 'of', 'selfgravitating', 'systems', 'our', 'hydrodynamic', 'model', 'involves', 'a', 'pressure', 'force', 'which', 'can', 'take', 'into', 'account', 'several', 'effects', 'like', 'anomalous', 'diffusion', 'or', 'the', 'fact', 'that', 'the', 'organisms', 'can', 'not', 'interpenetrate', 'we', 'also', 'take', 'into', 'account', 'the', 'degradation', 'of', 'the', 'chemical', 'which', 'leads', 'to', 'a', 'shielding', 'of', 'the', 'interaction', 'like', 'for', 'a', 'yukawa', 'potential', 'finally', 'our', 'hydrodynamic', 'model', 'involves', 'a', 'friction', 'force', 'which', 'quantifies', 'the', 'importance', 'of', 'inertial', 'effects', 'in', 'the', 'strong', 'friction', 'limit', 'we', 'obtain', 'a', 'generalized', 'kellersegel', 'model', 'similar', 'to', 'the', 'generalized', 'smoluchowskipoisson', 'system', 'describing', 'selfgravitating', 'langevin', 'particles', 'for', 'small', 'frictions', 'we', 'obtain', 'a', 'hydrodynamic', 'model', 'of', 'chemotaxis', 'similar', 'to', 'the', 'eulerpoisson', 'system', 'describing', 'a', 'selfgravitating', 'barotropic', 'gas', 'we', 'show', 'that', 'an', 'infinite', 'and', 'homogeneous', 'distribution', 'of', 'cells', 'is', 'unstable', 'against', 'chemotactic', 'collapse', 'when', 'the', 'velocity', 'of', 'sound', 'in', 'the', 'medium', 'is', 'smaller', 'than', 'a', 'critical', 'value', 'we', 'study', 'in', 'detail', 'the', 'linear', 'development', 'of', 'the', 'instability', 'and', 'determine', 'the', 'range', 'of', 'unstable', 'wavelengths', 'the', 'growth', 'rate', 'of', 'the', 'unstable', 'modes', 'and', 'the', 'damping', 'rate', 'or', 'the', 'pulsation', 'frequency', 'of', 'the', 'stable', 'modes', 'as', 'a', 'function', 'of', 'the', 'friction', 'parameter', 'and', 'shielding', 'length', 'for', 'specific', 'equations', 'of', 'state', 'we', 'express', 'the', 'stability', 'criterion', 'in', 'terms', 'of', 'the', 'density', 'of', 'cells']] | [-0.16185805446618948, 0.14670009540460147, -0.10995740409136988, 0.06424953546192425, -0.03845977837986806, -0.10109540099762016, 0.008959690129439183, 0.25019235579004767, -0.24331781556281973, -0.24421910143767794, 0.05311736303322273, -0.23981314361935444, -0.15379547381079664, 0.14883607989131456, 0.0038596828221617377, 0.040583524155412234, 0.02948152325937853, 0.0036684728254947592, -0.002671846497219567, -0.19136972062782767, 0.32085787142699984, 0.063988845542475, 0.24371559710479251, 0.019679856820798973, 0.1153840012939398, -0.03665354951266565, 0.0014601502695358267, 0.05100902404006132, -0.20686089464619656, 0.03270342351101777, 0.1476936540057353, 0.05636498448895473, 0.29631873170534767, -0.4441831214682144, -0.2774941170802705, 0.1038067644991565, 0.16077050020388675, 0.15870950502644787, -0.029562864669794946, -0.23988426651750855, 0.03399403457730717, -0.21013548717395786, -0.18581259095055216, -0.05534734731430516, 0.05052041898974601, 0.07721157373207639, -0.3031946754649135, 0.1586477925041097, 0.10663209980680133, 0.034482338318519073, -0.15928500770618592, -0.05975536170242099, -0.044389726604134136, 0.09895365215694148, 0.05160015616531703, -0.0425471503187117, 0.182213333232657, -0.1626995297733183, -0.03566165645926387, 0.4260826983726492, -0.09145072940377491, -0.2276506370855678, 0.2291384754483314, -0.15457562945016168, -0.0719298435502923, 0.13456334897189165, 0.22070081068531555, 0.07882546397912152, -0.13128961073491477, 0.03533178334188301, -0.030017248621922645, 0.16264530696823973, 0.08209223129384804, -0.01855434779073203, 0.20634212796485016, 0.2158149070736459, 0.014843859077960837, 0.1417562660982595, -0.06979980422412137, -0.13114255105930508, -0.28631347867788054, -0.17455367397188265, -0.10968978544879777, 0.06902746430503469, -0.1337396701675721, -0.1983802668348539, 0.3581939393033584, 0.1569128914618084, 0.16731272971020172, 0.06493351194761036, 0.2884642393109115, 0.11778530758148169, 0.03519527765867465, 0.0386089306452549, 0.2868225317083153, 0.14897678713907725, 0.10417907906002273, -0.29755968961809925, 0.04456147258078643, 0.0686206908458296] |
708.3164 | Algebraic systems of matrices and Grobner basis | One studies a particular algebraic system where the unknowns are matrices. We
solve this system according to the parameters values thanks to the theory of
Grobner basis.
| math.RA | one studies a particular algebraic system where the unknowns are matrices we solve this system according to the parameters values thanks to the theory of grobner basis | [['one', 'studies', 'a', 'particular', 'algebraic', 'system', 'where', 'the', 'unknowns', 'are', 'matrices', 'we', 'solve', 'this', 'system', 'according', 'to', 'the', 'parameters', 'values', 'thanks', 'to', 'the', 'theory', 'of', 'grobner', 'basis']] | [-0.13225159788918164, 0.030236572717074996, -0.07038055194748773, 0.004293915069731021, -0.09820821720899807, -0.1137316207125507, 0.04332426853943616, 0.2404413981432164, -0.33688865457144046, -0.27091842719043296, 0.17119235867910362, -0.25887809611029095, -0.16210547551788665, 0.16459285274699884, -0.06169984296516136, 0.09904327651936372, 0.08164386892760242, 0.03910674132337725, -0.13547617134948572, -0.31883800374688925, 0.37349962293066913, 0.05425535421818495, 0.2136083500528777, -0.06839022640552786, 0.12349112397404732, -0.03592368058377394, 0.02117808225254218, 0.0017651998223974024, -0.1313985276070458, 0.13777253190400424, 0.31970365414464913, 0.12913626577291223, 0.2743606692938893, -0.4423925077749623, -0.13994235393625717, 0.1384934926474536, 0.12412249653910597, 0.14601069588766055, 0.05120646939785392, -0.1910633138311958, 0.07649033389019745, -0.1763339202368149, -0.17900426547836373, -0.09626349893019155, 0.01480891272701599, 0.03377736290847814, -0.330428500349323, -0.04444214401559697, -0.033956685137969476, 0.0672221700143483, -0.0796773502499693, -0.13749681774061173, 0.0401171552086318, 0.08892494500442236, 0.05563129112124443, 0.010096465427152536, 0.09466170500618992, -0.07773534894093043, -0.09640387321511905, 0.4011738614903556, 0.028746283044003777, -0.30401432224445873, 0.15181822517748783, -0.14520623962636348, -0.1485434061916614, 0.07698684089161732, 0.17915058687881188, 0.11493724763945297, -0.14943052438536175, 0.14701152706725729, -0.096440852654201, 0.18883231985900137, 0.007456937408143723, 0.016662377113890316, 0.12895806047513528, 0.10495374481952577, 0.027559926146986307, 0.0808635267118613, 0.03921837180300995, -0.12640893286852925, -0.25013210431293204, -0.17124895435861415, -0.16509646101406328, 0.012816731300618913, -0.11327828528980415, -0.15275249671604899, 0.4645801068594058, 0.22018492825467278, 0.19409652309561218, 0.023468732523421448, 0.27411596652948195, 0.1859728791233566, 0.0744482326360109, 0.04030812531709671, 0.20149823816286194, 0.24770402763452795, 0.04433387552422506, -0.1908650163009211, 0.027677623537817487, 0.1464242412260285] |
708.3165 | Sharp Magnetic Field Dependence of the 2D Hall Coefficient Induced by
Classical Memory Effects | We show that a sharp dependence of the Hall coefficient $R$ on the magnetic
field $B$ arises in two-dimensional electron systems with randomly located
strong scatterers. The phenomenon is due to classical memory effects. We
calculate analytically the dependence $R(B)$ for the case of scattering by hard
disks of radius $a$, randomly distributed with concentration $n_0\ll1/a^2$. We
demonstrate that in very weak magnetic fields ($\omega_c\tau \lesssim n_0a^2$)
memory effects lead to a considerable renormalization of the Boltzmann value of
the Hall coefficient: $\delta R / R \sim 1 .$ With increasing magnetic field,
the relative correction to $R$ decreases, then changes sign, and saturates at
the value $\delta R / R \sim -n_0a^2 .$ We also discuss the effect of the
smooth disorder on the dependence of $R$ on $B$.
| cond-mat.dis-nn cond-mat.mes-hall | we show that a sharp dependence of the hall coefficient r on the magnetic field b arises in twodimensional electron systems with randomly located strong scatterers the phenomenon is due to classical memory effects we calculate analytically the dependence rb for the case of scattering by hard disks of radius a randomly distributed with concentration n_0ll1a2 we demonstrate that in very weak magnetic fields omega_ctau lesssim n_0a2 memory effects lead to a considerable renormalization of the boltzmann value of the hall coefficient delta r r sim 1 with increasing magnetic field the relative correction to r decreases then changes sign and saturates at the value delta r r sim n_0a2 we also discuss the effect of the smooth disorder on the dependence of r on b | [['we', 'show', 'that', 'a', 'sharp', 'dependence', 'of', 'the', 'hall', 'coefficient', 'r', 'on', 'the', 'magnetic', 'field', 'b', 'arises', 'in', 'twodimensional', 'electron', 'systems', 'with', 'randomly', 'located', 'strong', 'scatterers', 'the', 'phenomenon', 'is', 'due', 'to', 'classical', 'memory', 'effects', 'we', 'calculate', 'analytically', 'the', 'dependence', 'rb', 'for', 'the', 'case', 'of', 'scattering', 'by', 'hard', 'disks', 'of', 'radius', 'a', 'randomly', 'distributed', 'with', 'concentration', 'n_0ll1a2', 'we', 'demonstrate', 'that', 'in', 'very', 'weak', 'magnetic', 'fields', 'omega_ctau', 'lesssim', 'n_0a2', 'memory', 'effects', 'lead', 'to', 'a', 'considerable', 'renormalization', 'of', 'the', 'boltzmann', 'value', 'of', 'the', 'hall', 'coefficient', 'delta', 'r', 'r', 'sim', '1', 'with', 'increasing', 'magnetic', 'field', 'the', 'relative', 'correction', 'to', 'r', 'decreases', 'then', 'changes', 'sign', 'and', 'saturates', 'at', 'the', 'value', 'delta', 'r', 'r', 'sim', 'n_0a2', 'we', 'also', 'discuss', 'the', 'effect', 'of', 'the', 'smooth', 'disorder', 'on', 'the', 'dependence', 'of', 'r', 'on', 'b']] | [-0.18737836943265446, 0.17533686030201795, -0.023446444138066798, 0.010245492368580668, -0.021393526716506094, -0.15510348611836874, 0.0348273853116434, 0.3453227176474846, -0.29970931935283107, -0.2847944770417199, 0.03903661457522643, -0.30307387591934026, -0.09168161892491143, 0.1701576318591833, -0.003260637720577358, -0.021516336783070147, -0.025174781376764755, 0.027935114272726262, -0.10152220519683589, -0.21887009431857887, 0.2945494767272754, 0.05317079036508884, 0.22970713771183074, 0.1107177782493333, 0.036193360222458115, 0.02977484089466251, 0.028217895140083944, 0.09035327776176173, -0.18740284620139205, 0.01766885918849271, 0.14473389382133398, -0.03952290598545375, 0.27267806860429, -0.3825224055946479, -0.15955614524976752, 0.0692371259996198, 0.12381337382414234, 0.07943288033934144, -0.040631532403110425, -0.22387109392670898, 0.10215634481254511, -0.15035930509883455, -0.13757868548874114, -0.02631225408531907, 0.1255189451271653, 0.019555125921222615, -0.32900453363431664, 0.13733516204737817, 0.05115572221103225, 0.07894584556996095, -0.032656521797397864, -0.1355048362071043, 0.0006563788548687367, 0.04569029943199783, 0.08709304717972631, 0.07215911015675108, 0.17904824516698112, -0.15563884551629303, -0.023298956063856197, 0.3466015757795999, -0.13786588524415241, -0.1396284437745694, 0.15008073076000059, -0.24225055539556514, -0.06708654785543923, 0.1220827156041817, 0.1632050710306238, 0.12136488973079779, -0.04661728380762828, 0.15557960118309072, -0.030144072155755892, 0.19316659179493423, 0.03855848753052514, 0.04724671598713148, 0.20522099126100055, 0.09659226057763265, 0.048334570992473, 0.13941774295067522, -0.17465141968521464, -0.020775883148113888, -0.2853488505674087, -0.10978331452432444, -0.2099924936390868, 0.09529198650119265, -0.15129669930213754, -0.17065238973648264, 0.33973663776158924, 0.16537390340534153, 0.2369168288816463, 0.0244633377912053, 0.23089174346286592, 0.1436717508179022, 0.07085143385277076, 0.10540026179855554, 0.22714969742810354, 0.18936287128078805, 0.12503263630290948, -0.30697558616757453, 0.030831113961199676, 0.009030315078552661] |
708.3166 | Web Server Benchmark Application WiiBench using Erlang/OTP R11 and
Fedora-Core Linux 5.0 | As the web grows and the amount of traffics on the web server increase,
problems related to performance begin to appear. Some of the problems, such as
the number of users that can access the server simultaneously, the number of
requests that can be handled by the server per second (requests per second) to
bandwidth consumption and hardware utilization like memories and CPU. To give
better quality of service (\textbf{\textit{QoS}}), web hosting providers and
also the system administrators and network administrators who manage the server
need a benchmark application to measure the capabilities of their servers.
Later, the application intends to work under Linux/Unix -- like platforms and
built using Erlang/OTP R11 as a concurrent oriented language under Fedora Core
Linux 5.0. \textbf{\textit{WiiBench}} is divided into two main parts, the
controller section and the launcher section. Controller is the core of the
application. It has several duties, such as read the benchmark scenario file,
configure the program based on the scenario, initialize the launcher section,
gather the benchmark results from local and remote Erlang node where the
launcher runs and write them in a log file (later the log file will be used to
generate a report page for the sysadmin). Controller also has function as a
timer which act as timing for user inters arrival to the server. Launcher
generates a number of users based on the scenario, initialize them and start
the benchmark by sending requests to the web server. The clients also gather
the benchmark result and send them to the controller.
| cs.NI | as the web grows and the amount of traffics on the web server increase problems related to performance begin to appear some of the problems such as the number of users that can access the server simultaneously the number of requests that can be handled by the server per second requests per second to bandwidth consumption and hardware utilization like memories and cpu to give better quality of service textbftextitqos web hosting providers and also the system administrators and network administrators who manage the server need a benchmark application to measure the capabilities of their servers later the application intends to work under linuxunix like platforms and built using erlangotp r11 as a concurrent oriented language under fedora core linux 50 textbftextitwiibench is divided into two main parts the controller section and the launcher section controller is the core of the application it has several duties such as read the benchmark scenario file configure the program based on the scenario initialize the launcher section gather the benchmark results from local and remote erlang node where the launcher runs and write them in a log file later the log file will be used to generate a report page for the sysadmin controller also has function as a timer which act as timing for user inters arrival to the server launcher generates a number of users based on the scenario initialize them and start the benchmark by sending requests to the web server the clients also gather the benchmark result and send them to the controller | [['as', 'the', 'web', 'grows', 'and', 'the', 'amount', 'of', 'traffics', 'on', 'the', 'web', 'server', 'increase', 'problems', 'related', 'to', 'performance', 'begin', 'to', 'appear', 'some', 'of', 'the', 'problems', 'such', 'as', 'the', 'number', 'of', 'users', 'that', 'can', 'access', 'the', 'server', 'simultaneously', 'the', 'number', 'of', 'requests', 'that', 'can', 'be', 'handled', 'by', 'the', 'server', 'per', 'second', 'requests', 'per', 'second', 'to', 'bandwidth', 'consumption', 'and', 'hardware', 'utilization', 'like', 'memories', 'and', 'cpu', 'to', 'give', 'better', 'quality', 'of', 'service', 'textbftextitqos', 'web', 'hosting', 'providers', 'and', 'also', 'the', 'system', 'administrators', 'and', 'network', 'administrators', 'who', 'manage', 'the', 'server', 'need', 'a', 'benchmark', 'application', 'to', 'measure', 'the', 'capabilities', 'of', 'their', 'servers', 'later', 'the', 'application', 'intends', 'to', 'work', 'under', 'linuxunix', 'like', 'platforms', 'and', 'built', 'using', 'erlangotp', 'r11', 'as', 'a', 'concurrent', 'oriented', 'language', 'under', 'fedora', 'core', 'linux', '50', 'textbftextitwiibench', 'is', 'divided', 'into', 'two', 'main', 'parts', 'the', 'controller', 'section', 'and', 'the', 'launcher', 'section', 'controller', 'is', 'the', 'core', 'of', 'the', 'application', 'it', 'has', 'several', 'duties', 'such', 'as', 'read', 'the', 'benchmark', 'scenario', 'file', 'configure', 'the', 'program', 'based', 'on', 'the', 'scenario', 'initialize', 'the', 'launcher', 'section', 'gather', 'the', 'benchmark', 'results', 'from', 'local', 'and', 'remote', 'erlang', 'node', 'where', 'the', 'launcher', 'runs', 'and', 'write', 'them', 'in', 'a', 'log', 'file', 'later', 'the', 'log', 'file', 'will', 'be', 'used', 'to', 'generate', 'a', 'report', 'page', 'for', 'the', 'sysadmin', 'controller', 'also', 'has', 'function', 'as', 'a', 'timer', 'which', 'act', 'as', 'timing', 'for', 'user', 'inters', 'arrival', 'to', 'the', 'server', 'launcher', 'generates', 'a', 'number', 'of', 'users', 'based', 'on', 'the', 'scenario', 'initialize', 'them', 'and', 'start', 'the', 'benchmark', 'by', 'sending', 'requests', 'to', 'the', 'web', 'server', 'the', 'clients', 'also', 'gather', 'the', 'benchmark', 'result', 'and', 'send', 'them', 'to', 'the', 'controller']] | [-0.14947618743831134, 0.00553109214255908, -0.055802957482082416, 0.02704240545131599, -0.11749751345594844, -0.2260553210442624, 0.13541035981845095, 0.35081291280501714, -0.2806983626013749, -0.3948486696322819, 0.130007888774395, -0.3042028780099019, -0.05694650091585258, 0.22292663956651965, -0.09628248447271805, 0.06234664485666407, 0.07131747585879339, 0.08742092159599156, 0.01592743152146598, -0.3457655035095835, 0.26952575664615713, 0.08751780698150696, 0.29045800895927604, 0.05164825667329806, 0.048206572228272154, 0.012398335593659056, -0.02650279567266504, -0.06053176561013298, -0.04711595382458431, 0.08535608929024643, 0.3039039777186007, 0.21713543417545628, 0.277678355889724, -0.4671075544413553, -0.12351832438978445, 0.03899973586396161, 0.13257158041022807, 0.02733261887700368, -0.0161134890013236, -0.30803901695059127, 0.12562016672436074, -0.25871084899787444, -0.061925091210333814, -0.02340624356889222, -0.006965852030235003, 0.06619784775789431, -0.25762182465451955, -0.07744264916783801, -0.013652496496294943, -0.008660097792557624, -0.021902858817072803, -0.04260321477583299, -0.04036313286387777, 0.2093059971075819, 0.0405750699736595, 0.05063352461560184, 0.22297766175023823, -0.1008915306584644, -0.12816376133118737, 0.3939995326505727, -0.00831067961328345, -0.15738634815735061, 0.16775111587606856, 0.005858432135009861, -0.1383681045564632, 0.06354114629634952, 0.24173755128774418, 0.06204917817002529, -0.16820978285393204, 0.02443279024240669, -0.01569417690162558, 0.20774093193439655, 0.10370727327005212, 0.02971685862722227, 0.17144264960399713, 0.20853993461755324, 0.10214848555138252, 0.16377957101937488, -0.0676648458880868, -0.07945554693842898, -0.25143259853343425, -0.19485309050721397, -0.1891272857174629, 0.01018231436009444, -0.06922946939644371, -0.12105820310418026, 0.37289264885686246, 0.17438494099348964, 0.1601939112449207, 0.0790851617051498, 0.3800907709961196, 0.043225841891267394, 0.13042084352967953, 0.15345649719500098, 0.0949967455753101, -0.006548461916175742, 0.2262253509927915, -0.16051053429180456, 0.09815248192814421, 0.006308185632329389] |
708.3167 | Asymmetric Fermi superfluid with different atomic species in a harmonic
trap | We study the dilute fermion gas with pairing between two species and unequal
concentrations in a harmonic trap using the mean field theory and the local
density approximation. We found that the system can exhibit a superfluid shell
structure sandwiched by the normal fermions. This superfluid shell structure
occurs if the mass ratio is larger then certain critical value which increases
from the weak-coupling BCS region to the strong-coupling BEC side. In the
strong coupling BEC regime, the radii of superfluid phase are less sensitive to
the mass ratios and are similar to the case of pairing with equal masses.
However, the lighter leftover fermions are easier to mix with the superfluid
core than the heavier ones. A partially polarized superfluid can be found if
the majority fermions are lighter, whereas phase separation is still found if
they are heavier.
| cond-mat.supr-con cond-mat.other | we study the dilute fermion gas with pairing between two species and unequal concentrations in a harmonic trap using the mean field theory and the local density approximation we found that the system can exhibit a superfluid shell structure sandwiched by the normal fermions this superfluid shell structure occurs if the mass ratio is larger then certain critical value which increases from the weakcoupling bcs region to the strongcoupling bec side in the strong coupling bec regime the radii of superfluid phase are less sensitive to the mass ratios and are similar to the case of pairing with equal masses however the lighter leftover fermions are easier to mix with the superfluid core than the heavier ones a partially polarized superfluid can be found if the majority fermions are lighter whereas phase separation is still found if they are heavier | [['we', 'study', 'the', 'dilute', 'fermion', 'gas', 'with', 'pairing', 'between', 'two', 'species', 'and', 'unequal', 'concentrations', 'in', 'a', 'harmonic', 'trap', 'using', 'the', 'mean', 'field', 'theory', 'and', 'the', 'local', 'density', 'approximation', 'we', 'found', 'that', 'the', 'system', 'can', 'exhibit', 'a', 'superfluid', 'shell', 'structure', 'sandwiched', 'by', 'the', 'normal', 'fermions', 'this', 'superfluid', 'shell', 'structure', 'occurs', 'if', 'the', 'mass', 'ratio', 'is', 'larger', 'then', 'certain', 'critical', 'value', 'which', 'increases', 'from', 'the', 'weakcoupling', 'bcs', 'region', 'to', 'the', 'strongcoupling', 'bec', 'side', 'in', 'the', 'strong', 'coupling', 'bec', 'regime', 'the', 'radii', 'of', 'superfluid', 'phase', 'are', 'less', 'sensitive', 'to', 'the', 'mass', 'ratios', 'and', 'are', 'similar', 'to', 'the', 'case', 'of', 'pairing', 'with', 'equal', 'masses', 'however', 'the', 'lighter', 'leftover', 'fermions', 'are', 'easier', 'to', 'mix', 'with', 'the', 'superfluid', 'core', 'than', 'the', 'heavier', 'ones', 'a', 'partially', 'polarized', 'superfluid', 'can', 'be', 'found', 'if', 'the', 'majority', 'fermions', 'are', 'lighter', 'whereas', 'phase', 'separation', 'is', 'still', 'found', 'if', 'they', 'are', 'heavier']] | [-0.13704755275019645, 0.3164142044460667, -0.05578975422041757, 0.09970358458563819, -0.006263639804508005, -0.18484734307775008, 0.03738467670794177, 0.34741881637434874, -0.21742101994210056, -0.26101797629131135, 0.006237863085698336, -0.3167901442785348, -0.027249982241275054, 0.11643597398485456, 0.04641687639169894, -0.026176273641509137, -0.009474242390466056, 0.04868164260239739, -0.15054433279853713, -0.23721936026621343, 0.35173490538062263, -0.01254871817239161, 0.28250862485729156, 0.06746243929789801, -0.05375633449293673, -0.07170119578284877, 0.10751188972831836, 0.0017783959695537176, -0.10980346212023245, 0.04091616417322907, 0.20205698129388372, -0.04583903730713895, 0.19594578938891313, -0.40970117815637164, -0.1826912151250456, 0.13199839360479798, 0.2082641016758446, 0.14350285125214474, -0.05089292317529076, -0.28182024660886135, 0.04421770251356065, -0.220043391523151, -0.16611125872337393, -0.053108026313462425, -0.003126739653193259, -0.005624958748895941, -0.25150812339187334, 0.1432297427938985, 0.02296300406035568, 0.00859150786751083, -0.05697701419703662, -0.15756897187841656, -0.08140190507983788, 0.05403771805244365, 0.08696430345797646, 0.03520035966066644, 0.16290521926275686, -0.1563872459128366, 0.05195947973656335, 0.4072158096624272, -0.09694735996277554, -0.13334076449308277, 0.22345741012665843, -0.19620665405278226, -0.03477125251437038, 0.19000603115585232, 0.09820559160517794, 0.09066693498087781, -0.10082007347290138, 0.03689777336091668, -0.08907959357851983, 0.23066102336160837, 0.05134055852956538, 0.04693023276382259, 0.3012507335415908, 0.15911781624890864, 0.0458340640379382, 0.11664987750534367, -0.11794461804176015, -0.15097441558193947, -0.2371809398622385, -0.13088679822893548, -0.15924018967946593, -0.008154365685602119, -0.059801675631752, -0.13807734732566002, 0.301611612960031, 0.11767491278878879, 0.20059972942939827, 0.002914456239003422, 0.27963818647882105, 0.13660057945276743, 0.09513876768760383, 0.09609628187026828, 0.30850203674552695, 0.1893533833324909, 0.06354003221328769, -0.2524877841102092, 0.018646302330307663, 0.07522757870777111] |
708.3168 | A Generic Approach to Searching for Jacobians | We consider the problem of finding cryptographically suitable Jacobians. By
applying a probabilistic generic algorithm to compute the zeta functions of low
genus curves drawn from an arbitrary family, we can search for Jacobians
containing a large subgroup of prime order. For a suitable distribution of
curves, the complexity is subexponential in genus 2, and O(N^{1/12}) in genus
3. We give examples of genus 2 and genus 3 hyperelliptic curves over prime
fields with group orders over 180 bits in size, improving previous results. Our
approach is particularly effective over low-degree extension fields, where in
genus 2 we find Jacobians over F_{p^2) and trace zero varieties over F_{p^3}
with near-prime orders up to 372 bits in size. For p = 2^{61}-1, the average
time to find a group with 244-bit near-prime order is under an hour on a PC.
| math.NT math.AG | we consider the problem of finding cryptographically suitable jacobians by applying a probabilistic generic algorithm to compute the zeta functions of low genus curves drawn from an arbitrary family we can search for jacobians containing a large subgroup of prime order for a suitable distribution of curves the complexity is subexponential in genus 2 and on112 in genus 3 we give examples of genus 2 and genus 3 hyperelliptic curves over prime fields with group orders over 180 bits in size improving previous results our approach is particularly effective over lowdegree extension fields where in genus 2 we find jacobians over f_p2 and trace zero varieties over f_p3 with nearprime orders up to 372 bits in size for p 2611 the average time to find a group with 244bit nearprime order is under an hour on a pc | [['we', 'consider', 'the', 'problem', 'of', 'finding', 'cryptographically', 'suitable', 'jacobians', 'by', 'applying', 'a', 'probabilistic', 'generic', 'algorithm', 'to', 'compute', 'the', 'zeta', 'functions', 'of', 'low', 'genus', 'curves', 'drawn', 'from', 'an', 'arbitrary', 'family', 'we', 'can', 'search', 'for', 'jacobians', 'containing', 'a', 'large', 'subgroup', 'of', 'prime', 'order', 'for', 'a', 'suitable', 'distribution', 'of', 'curves', 'the', 'complexity', 'is', 'subexponential', 'in', 'genus', '2', 'and', 'on112', 'in', 'genus', '3', 'we', 'give', 'examples', 'of', 'genus', '2', 'and', 'genus', '3', 'hyperelliptic', 'curves', 'over', 'prime', 'fields', 'with', 'group', 'orders', 'over', '180', 'bits', 'in', 'size', 'improving', 'previous', 'results', 'our', 'approach', 'is', 'particularly', 'effective', 'over', 'lowdegree', 'extension', 'fields', 'where', 'in', 'genus', '2', 'we', 'find', 'jacobians', 'over', 'f_p2', 'and', 'trace', 'zero', 'varieties', 'over', 'f_p3', 'with', 'nearprime', 'orders', 'up', 'to', '372', 'bits', 'in', 'size', 'for', 'p', '2611', 'the', 'average', 'time', 'to', 'find', 'a', 'group', 'with', '244bit', 'nearprime', 'order', 'is', 'under', 'an', 'hour', 'on', 'a', 'pc']] | [-0.18647913647884573, 0.09943422997150467, -0.08696158154419174, 0.031894401371203085, -0.0443248581348194, -0.1317245844406662, 0.04933687885878263, 0.35835953358284856, -0.2643921230264284, -0.34240989807165334, 0.08157193569587198, -0.2520568666117335, -0.08353272828583916, 0.2836339572246221, -0.11452728368997298, 0.025051910944145033, -0.01541385962455361, 0.0759407557754053, -0.09048218758500837, -0.3797968938550049, 0.3460728484499096, -0.05895679619301249, 0.1731731868038575, 0.01760190834110189, 0.08587931488054218, 0.02061408720393148, 0.005529013038095501, -0.02889546103499554, -0.12251200496081124, 0.10272777468845662, 0.3208149853610882, 0.06504131301340682, 0.20460252445881014, -0.3484000668494479, -0.1922091566060704, 0.19755450933654276, 0.13353511307698984, 0.04528066500055569, -0.0031939777623241146, -0.18336645688654649, 0.1380465953697071, -0.13757250893136694, -0.17517359830370105, -0.07525909785181284, 0.08968894428072856, 0.008004171283984627, -0.25669891493636426, -8.382851676153088e-05, 0.01690240419573254, 0.18738314383835705, -0.0007417315737930712, -0.1686524341331312, 0.033018847035796, 0.054326261721413444, 0.023652495475727373, 0.10250131320208311, 0.023090483655256254, -0.1332251509996476, -0.11402720068408935, 0.3323222159696915, -0.09454489426635619, -0.15070835902286625, 0.10735314620520782, -0.1500602886874091, -0.12291753845703271, 0.1896571498502184, 0.18079898707154723, 0.19788432700766456, -0.004856516131096416, 0.14398517512125653, -0.052876656571472135, 0.20004574221524377, 0.0971311964922481, -0.04810079507943657, 0.120455884202211, 0.09872638186508859, 0.0772566958365065, 0.14434548912858763, -0.07474224995304313, -0.026618373459549965, -0.3119918863530512, -0.17823914191685616, -0.11376530904391849, 0.13467278962402984, -0.18723536591720336, -0.12122949661549043, 0.45953180420867823, 0.08714590494141534, 0.18914820674668859, 0.18566222483447442, 0.23546670003518186, 0.06355827825782062, 0.08888492534557978, 0.15913684070455256, 0.08531757386754853, 0.15041958301466096, -0.0625162025404818, -0.11002800560004457, -0.0013520395555705936, 0.11649972711931224] |
708.3169 | Using Josephson junctions to determine the pairing state of
superconductors without crystal inversion symmetry | Theoretical studies of a planar tunnel junction between two superconductors
with antisymmetric spin-orbit coupling are presented. The half-space Green's
function for such a superconductor is determined. This is then used to derive
expressions for the dissipative current and the Josephson current of the
junction. Numerical results are presented in the case of the Rashba spin-orbit
coupling, relevant to the much studied compound CePt$_3$Si. Current-voltage
diagrams, differential conductance and the critical Josephson current are
presented for different crystallographic orientations and different weights of
singlet and triplet components of the pairing state. The main conclusion is
that Josephson junctions with different crystallographic orientations may
provide a direct connection between unconventional pairing in superconductors
of this kind and the absence of inversion symmetry in the crystal.
| cond-mat.supr-con | theoretical studies of a planar tunnel junction between two superconductors with antisymmetric spinorbit coupling are presented the halfspace greens function for such a superconductor is determined this is then used to derive expressions for the dissipative current and the josephson current of the junction numerical results are presented in the case of the rashba spinorbit coupling relevant to the much studied compound cept_3si currentvoltage diagrams differential conductance and the critical josephson current are presented for different crystallographic orientations and different weights of singlet and triplet components of the pairing state the main conclusion is that josephson junctions with different crystallographic orientations may provide a direct connection between unconventional pairing in superconductors of this kind and the absence of inversion symmetry in the crystal | [['theoretical', 'studies', 'of', 'a', 'planar', 'tunnel', 'junction', 'between', 'two', 'superconductors', 'with', 'antisymmetric', 'spinorbit', 'coupling', 'are', 'presented', 'the', 'halfspace', 'greens', 'function', 'for', 'such', 'a', 'superconductor', 'is', 'determined', 'this', 'is', 'then', 'used', 'to', 'derive', 'expressions', 'for', 'the', 'dissipative', 'current', 'and', 'the', 'josephson', 'current', 'of', 'the', 'junction', 'numerical', 'results', 'are', 'presented', 'in', 'the', 'case', 'of', 'the', 'rashba', 'spinorbit', 'coupling', 'relevant', 'to', 'the', 'much', 'studied', 'compound', 'cept_3si', 'currentvoltage', 'diagrams', 'differential', 'conductance', 'and', 'the', 'critical', 'josephson', 'current', 'are', 'presented', 'for', 'different', 'crystallographic', 'orientations', 'and', 'different', 'weights', 'of', 'singlet', 'and', 'triplet', 'components', 'of', 'the', 'pairing', 'state', 'the', 'main', 'conclusion', 'is', 'that', 'josephson', 'junctions', 'with', 'different', 'crystallographic', 'orientations', 'may', 'provide', 'a', 'direct', 'connection', 'between', 'unconventional', 'pairing', 'in', 'superconductors', 'of', 'this', 'kind', 'and', 'the', 'absence', 'of', 'inversion', 'symmetry', 'in', 'the', 'crystal']] | [-0.270608752656906, 0.142506641513721, -0.0019444955107793818, 0.043376912307032056, -0.09431733569599748, -0.1837491138717084, 0.032824440298950285, 0.39577341709679703, -0.22287698150839566, -0.2580956349270494, -0.04844142884920859, -0.27671648009218336, -0.10966828498966628, 0.20921552703125265, 0.06419370642567916, 0.024499599384598253, -0.03182683988830181, -0.03835091863099175, -0.11293701965142254, -0.21213281034999262, 0.3500163951298086, -0.06499328738744788, 0.3566642224228358, 0.09133972488419433, 0.020090045852016854, -0.020845253652764288, 0.10706388427520065, -0.0013564333539244121, -0.17543531179919553, 0.07406975568567471, 0.28830953769961265, -0.10561678609318607, 0.11068254046717553, -0.4708691609311637, -0.16306327058502088, 0.017433161873794425, 0.13308342410690657, 0.16228709142745995, -0.03667834591181055, -0.30650695535823763, 0.061562795762722264, -0.1465241414063224, -0.08966848266318561, -0.04757990969753847, 0.001699558133638002, 0.029346260673752646, -0.24655621929654503, 0.061041146001922404, 0.051011067980756546, 0.09426644928299072, -0.040863728646673564, -0.16112043778695984, -0.07813889372760688, 0.06103308694588581, 0.07098052498309047, 0.007268910546128343, 0.10161190630008686, -0.1434919818084899, -0.11281865148812653, 0.31282320389963264, -0.0340914951894826, -0.16924157468067308, 0.16469151405541876, -0.139372567964218, -0.06773166448195897, 0.0782479413906188, 0.06439728281466381, 0.07617243944962578, -0.17611908125198952, 0.07179668997518521, -0.03273809703570465, 0.09628658465723075, 0.03253464165666118, 0.056034032512849906, 0.24862404051047515, 0.1803933768646746, 0.03970150043188199, 0.1531989302323389, -0.1147866701457377, -0.08858315002294333, -0.3329489307129771, -0.18747305743797585, -0.20757769661902534, 0.039334934148028855, -0.06691620948147578, -0.19922925016986645, 0.428604177704717, 0.1629666853667714, 0.1714796875515949, -0.05055253486323163, 0.26878410121198837, 0.1659386854190985, 0.06403133315147787, -0.03743566174014676, 0.24309047717010465, 0.2362307442988201, 0.09014187754430937, -0.3353632830454385, 0.08738566510856333, 0.015689862074285018] |
708.317 | Holographic QCD with Isospin Chemical Potential | We consider configurations of D4-D8-\bar D8 branes which correspond to large
N QCD with non-vanishing temperature and chemical potential for baryon number
and isospin. We study the holographic dual of this model and find a rich phase
structure. The phases, distinguished by the values of quark condensates, are
separated by the surfaces of first order phase transitions. The picture is in
many respects similar to the expected phase structure of QCD in the chiral
limit.
| hep-th hep-ph | we consider configurations of d4d8bar d8 branes which correspond to large n qcd with nonvanishing temperature and chemical potential for baryon number and isospin we study the holographic dual of this model and find a rich phase structure the phases distinguished by the values of quark condensates are separated by the surfaces of first order phase transitions the picture is in many respects similar to the expected phase structure of qcd in the chiral limit | [['we', 'consider', 'configurations', 'of', 'd4d8bar', 'd8', 'branes', 'which', 'correspond', 'to', 'large', 'n', 'qcd', 'with', 'nonvanishing', 'temperature', 'and', 'chemical', 'potential', 'for', 'baryon', 'number', 'and', 'isospin', 'we', 'study', 'the', 'holographic', 'dual', 'of', 'this', 'model', 'and', 'find', 'a', 'rich', 'phase', 'structure', 'the', 'phases', 'distinguished', 'by', 'the', 'values', 'of', 'quark', 'condensates', 'are', 'separated', 'by', 'the', 'surfaces', 'of', 'first', 'order', 'phase', 'transitions', 'the', 'picture', 'is', 'in', 'many', 'respects', 'similar', 'to', 'the', 'expected', 'phase', 'structure', 'of', 'qcd', 'in', 'the', 'chiral', 'limit']] | [-0.15832558751257286, 0.24206787200543928, -0.09178023318118239, 0.04479129265087682, -0.015039289747742383, -0.0855876451698006, 0.06595467929602475, 0.3071324612844635, -0.18129657465662505, -0.27033521291623647, 0.03824218120614721, -0.28702881262713187, -0.09782418948786988, 0.048571919012386854, 0.03867548450944014, 0.030590847680680266, -0.054720886441803465, 0.031140298500808107, -0.11787113921112709, -0.21255190079918485, 0.36622977405715723, -0.05013890790979605, 0.2555878499170413, 0.08044586248689557, 0.03356358062828312, -0.05888339171714678, 0.018629251740168076, 0.03847432131501469, -0.1487755779164365, 0.030583119680601602, 0.23042334467912018, -0.0028296786649907764, 0.07663687071259562, -0.41918346585353483, -0.2198570622477328, 0.15463828498724144, 0.1198916928590955, 0.16252599032815998, -0.02459981432184577, -0.2720203547159562, 0.06794796102189433, -0.16331121652714303, -0.19100131547531565, -0.14110523038952788, 0.00422650298128861, -0.020887242822052055, -0.2533361633651185, 0.0728172354802892, -0.008311194998551966, 0.018639013470100187, -0.022122121932035364, -0.14786321711348924, -0.07230398922252494, 0.09006642124842147, 0.06146367927509788, 0.06952804245835019, 0.07850577511723984, -0.20219690192528572, -0.10847736458998879, 0.4308759388388009, -0.04584225919884252, -0.10597915125608041, 0.15688583795988076, -0.18505134275894947, -0.13038891575903305, 0.12686624523957032, 0.13986929290852435, 0.13282037843522188, -0.12642953097875342, 0.11543407777994494, -0.010540464175613346, 0.15557462645134562, 0.06720188233649006, 0.07521146407501923, 0.2821529552063628, 0.16486130710345115, 0.009072796038093951, 0.15456975421339675, -0.039377302963387324, -0.16872644243208137, -0.3607435554039438, -0.11905605660600437, -0.15526609125270233, 0.027534641199619382, -0.1481442954133633, -0.1584326293873223, 0.39905742762257923, 0.10819143123415022, 0.2746288341193183, -0.028470475527118087, 0.24985636297512698, 0.08223361878756534, 0.05320120724295643, 0.031858998004699476, 0.24934515171382274, 0.17349041865609988, 0.12238983968524514, -0.27757910732809155, -0.051696190950334876, 0.12578772010936126] |
708.3171 | The p53-MDM2 network: from oscillations to apoptosis | The p53 protein is well-known for its tumour suppressor function. The
p53-MDM2 negative feedback loop constitutes the core module of a network of
regulatory interactions activated under cellular stress. In normal cells, the
level of p53 proteins is kept low by MDM2, i.e. MDM2 negatively regulates the
activity of p53. In the case of DNA damage,the p53-mediated pathways are
activated leading to cell cycle arrest and repair of the DNA. If repair is not
possible due to excessive damage, the p53-mediated apoptotic pathway is
activated bringing about cell death. In this paper, we give an overview of our
studies on the p53-MDM2 module and the associated pathways from a systems
biology perspective. We discuss a number of key predictions, related to some
specific aspects of cell cycle arrest and cell death, which could be tested in
experiments.
| q-bio.MN | the p53 protein is wellknown for its tumour suppressor function the p53mdm2 negative feedback loop constitutes the core module of a network of regulatory interactions activated under cellular stress in normal cells the level of p53 proteins is kept low by mdm2 ie mdm2 negatively regulates the activity of p53 in the case of dna damagethe p53mediated pathways are activated leading to cell cycle arrest and repair of the dna if repair is not possible due to excessive damage the p53mediated apoptotic pathway is activated bringing about cell death in this paper we give an overview of our studies on the p53mdm2 module and the associated pathways from a systems biology perspective we discuss a number of key predictions related to some specific aspects of cell cycle arrest and cell death which could be tested in experiments | [['the', 'p53', 'protein', 'is', 'wellknown', 'for', 'its', 'tumour', 'suppressor', 'function', 'the', 'p53mdm2', 'negative', 'feedback', 'loop', 'constitutes', 'the', 'core', 'module', 'of', 'a', 'network', 'of', 'regulatory', 'interactions', 'activated', 'under', 'cellular', 'stress', 'in', 'normal', 'cells', 'the', 'level', 'of', 'p53', 'proteins', 'is', 'kept', 'low', 'by', 'mdm2', 'ie', 'mdm2', 'negatively', 'regulates', 'the', 'activity', 'of', 'p53', 'in', 'the', 'case', 'of', 'dna', 'damagethe', 'p53mediated', 'pathways', 'are', 'activated', 'leading', 'to', 'cell', 'cycle', 'arrest', 'and', 'repair', 'of', 'the', 'dna', 'if', 'repair', 'is', 'not', 'possible', 'due', 'to', 'excessive', 'damage', 'the', 'p53mediated', 'apoptotic', 'pathway', 'is', 'activated', 'bringing', 'about', 'cell', 'death', 'in', 'this', 'paper', 'we', 'give', 'an', 'overview', 'of', 'our', 'studies', 'on', 'the', 'p53mdm2', 'module', 'and', 'the', 'associated', 'pathways', 'from', 'a', 'systems', 'biology', 'perspective', 'we', 'discuss', 'a', 'number', 'of', 'key', 'predictions', 'related', 'to', 'some', 'specific', 'aspects', 'of', 'cell', 'cycle', 'arrest', 'and', 'cell', 'death', 'which', 'could', 'be', 'tested', 'in', 'experiments']] | [-0.14562850390554077, 0.17741285336834314, 0.04871295545351185, 0.05776905062221511, -0.010862413346972865, -0.17581082879812182, 0.1234939898003016, 0.31748043985092356, -0.26774150369387556, -0.1991357280571452, 0.06701679069245824, -0.2490401516928721, -0.2920529930064838, 0.16392960066236006, -0.12893870432419455, -0.06268653565861956, 0.07406841036914985, 0.08250354618169642, 0.12934823563580936, -0.19501317433519838, 0.25128138562821034, 0.12461555429378196, 0.2828900831878213, 0.09676278990424608, 0.10078028859639102, -0.07455156608621645, -0.01131129294192172, -0.02908182822797886, -0.14181919092066786, 0.12319060805277653, 0.28721742401146055, 0.1922391026335604, 0.2974881863235222, -0.4876939216354752, -0.24897335071685067, 0.13230205931283898, 0.16137517180280103, 0.1468335506531944, -0.024667950680047984, -0.17337419102755924, 0.09421208849252093, -0.15025366603667328, -0.06969594748400543, -0.022347441268400017, 0.004460429830942303, 0.049078801766413827, -0.22902166964965598, 0.13169952241108096, 0.027007180248962388, 0.09898082260898423, -0.12195263415496276, -0.08138958633507547, -0.07241066376274616, 0.21628537728547065, 0.051488340146641026, 0.03942677312678664, 0.2834298005402482, -0.14876371456878534, -0.13686266065205394, 0.3426075437010321, 0.04698926484321847, -0.15498535774874173, 0.21137864629375092, -0.12319950909894782, -0.14015802639016114, 0.18016572023385807, 0.12916870118009255, 0.03553242524289731, -0.18974530809689039, -0.023547967244667234, 0.06413139283027061, 0.17029484110090004, 0.10737807394916137, -0.02511666060822523, 0.17266661573119244, 0.2729487201705685, 0.0060506701804971435, 0.15862851120062474, -0.05336290864857694, -0.10039287856874152, -0.24547174120979273, -0.17220645536230328, -0.08561977906056735, 0.07647894402490397, -0.06149351658603015, -0.18684189813896357, 0.420181728194139, 0.05214392202608852, 0.1608879838090883, 0.02995910711144782, 0.21113867766004712, 0.02364542810263468, 0.12976988442481824, -0.02969834308126284, 0.12624796640289682, 0.13213280559284613, 0.08808909582919167, -0.3331037481668104, 0.17258651558350882, 0.05130080834907644] |
708.3172 | Fostering Consensus in Multidimensional Continuous Opinion Dynamics
under Bounded Confidence | Social consensus is important for society. Sometimes the success of society
depends on a consensus (e.g. the decision to pay taxes or to commit to the
constitution). Examples for continuous opinion dynamics are discussions about
tax rates or budget plan proposals for governments investments. Another example
is a commission of experts which should reach a estimate about a certain issue,
e.g. the tax revenues of the next year. In all these situations we got a group
of agents which should reach a common agreement either for reaching a good
approximation to the truth but on the other hand for the reason, that reaching
consensus is a good in itself.
From social judgment theory and experiments we know that humans either tend
to agreement with others for normative and informational reasons but on the
other hand have bounded confidence against others with differing opinions.
In a framework of models of continuous opinion dynamics we ask, which
structural conditions foster the achievement of consensus? We present evidence
by simulation that bringing more issues in does, but only if the issues are
under budget constraints. Further, the installation of meetings where everyone
hears all opinions has a better impact than relying on gossip.
| physics.soc-ph | social consensus is important for society sometimes the success of society depends on a consensus eg the decision to pay taxes or to commit to the constitution examples for continuous opinion dynamics are discussions about tax rates or budget plan proposals for governments investments another example is a commission of experts which should reach a estimate about a certain issue eg the tax revenues of the next year in all these situations we got a group of agents which should reach a common agreement either for reaching a good approximation to the truth but on the other hand for the reason that reaching consensus is a good in itself from social judgment theory and experiments we know that humans either tend to agreement with others for normative and informational reasons but on the other hand have bounded confidence against others with differing opinions in a framework of models of continuous opinion dynamics we ask which structural conditions foster the achievement of consensus we present evidence by simulation that bringing more issues in does but only if the issues are under budget constraints further the installation of meetings where everyone hears all opinions has a better impact than relying on gossip | [['social', 'consensus', 'is', 'important', 'for', 'society', 'sometimes', 'the', 'success', 'of', 'society', 'depends', 'on', 'a', 'consensus', 'eg', 'the', 'decision', 'to', 'pay', 'taxes', 'or', 'to', 'commit', 'to', 'the', 'constitution', 'examples', 'for', 'continuous', 'opinion', 'dynamics', 'are', 'discussions', 'about', 'tax', 'rates', 'or', 'budget', 'plan', 'proposals', 'for', 'governments', 'investments', 'another', 'example', 'is', 'a', 'commission', 'of', 'experts', 'which', 'should', 'reach', 'a', 'estimate', 'about', 'a', 'certain', 'issue', 'eg', 'the', 'tax', 'revenues', 'of', 'the', 'next', 'year', 'in', 'all', 'these', 'situations', 'we', 'got', 'a', 'group', 'of', 'agents', 'which', 'should', 'reach', 'a', 'common', 'agreement', 'either', 'for', 'reaching', 'a', 'good', 'approximation', 'to', 'the', 'truth', 'but', 'on', 'the', 'other', 'hand', 'for', 'the', 'reason', 'that', 'reaching', 'consensus', 'is', 'a', 'good', 'in', 'itself', 'from', 'social', 'judgment', 'theory', 'and', 'experiments', 'we', 'know', 'that', 'humans', 'either', 'tend', 'to', 'agreement', 'with', 'others', 'for', 'normative', 'and', 'informational', 'reasons', 'but', 'on', 'the', 'other', 'hand', 'have', 'bounded', 'confidence', 'against', 'others', 'with', 'differing', 'opinions', 'in', 'a', 'framework', 'of', 'models', 'of', 'continuous', 'opinion', 'dynamics', 'we', 'ask', 'which', 'structural', 'conditions', 'foster', 'the', 'achievement', 'of', 'consensus', 'we', 'present', 'evidence', 'by', 'simulation', 'that', 'bringing', 'more', 'issues', 'in', 'does', 'but', 'only', 'if', 'the', 'issues', 'are', 'under', 'budget', 'constraints', 'further', 'the', 'installation', 'of', 'meetings', 'where', 'everyone', 'hears', 'all', 'opinions', 'has', 'a', 'better', 'impact', 'than', 'relying', 'on', 'gossip']] | [-0.09085945932252798, 0.08137391083058901, -0.08748172636842355, 0.08360917762067402, -0.146061683857115, -0.18437831934541463, 0.15124376748281065, 0.4033893158566207, -0.2067956295562908, -0.30951832337770613, 0.15038428532658143, -0.31091823981609196, -0.11999586010613711, 0.15541388734272915, -0.1192514481395483, -0.0045944751496426765, 0.08955926044145598, 0.11298578666173853, 0.004588951295881998, -0.3339596315799281, 0.2887556063727243, 0.07503213159739971, 0.29316003256477413, 0.06385639041283867, 0.08274980395101011, -0.028736869130516426, -0.01371808333788067, 0.020421975301578642, -0.12144092477396043, 0.11760047411546111, 0.30448465843533995, 0.20285770914517343, 0.42247844545170665, -0.44825733330100775, -0.17758368995273485, 0.12795342486624578, 0.10648480002579162, 0.09983770349586849, -0.021802002144177095, -0.2933355466241483, 0.05871761643793434, -0.19346432571997865, -0.0891573970229365, -0.06239894547732547, 0.01634842574130744, 0.034219576644245533, -0.27185956984758375, 0.037867083332384935, 0.05575055970111862, 0.08001944203628227, -0.05746718310372671, -0.12009237378137186, -0.0200539841898717, 0.1842603829060681, 0.09185968452249654, -0.0006837650667876005, 0.15760552499676123, -0.20752988759661092, -0.15223360127070917, 0.4284624166088179, 0.014109961894209846, -0.1659418164275121, 0.19065480151795783, -0.12652769627900853, -0.1647612379794009, 0.0456704095355235, 0.18346060769748873, 0.052710315265212554, -0.14864404905121772, -0.005083888113149442, -0.050341515322215855, 0.20166310204192997, 0.05353210919420235, 0.011632038198513328, 0.20289691967191176, 0.1630059639364481, 0.12877127579995432, 0.011605940800800454, 0.0303071562864352, -0.17517233703052626, -0.24074357985984535, -0.11942546025034971, -0.1199212528776843, 0.06219343037635554, -0.048467266225634374, -0.1268448577588424, 0.35165559988599854, 0.19609323069453238, 0.1420326595683582, 0.07126948438468389, 0.27162607162084895, 0.038646247819415294, 0.03895224075298756, 0.08547305631451309, 0.2275111429998651, -0.013794975032797084, 0.11258386782137678, -0.12219774163677358, 0.19901092952815816, -0.016927303700722405] |
708.3173 | Electro-Magnetic Waves within a Model for Charged Solitons | We analyze the model of topological fermions (MTF), where charged fermions
are treated as soliton solutions of the field equations. In the region far from
the sources we find plane waves solutions with the properties of
electro-magnetic waves.
| hep-th | we analyze the model of topological fermions mtf where charged fermions are treated as soliton solutions of the field equations in the region far from the sources we find plane waves solutions with the properties of electromagnetic waves | [['we', 'analyze', 'the', 'model', 'of', 'topological', 'fermions', 'mtf', 'where', 'charged', 'fermions', 'are', 'treated', 'as', 'soliton', 'solutions', 'of', 'the', 'field', 'equations', 'in', 'the', 'region', 'far', 'from', 'the', 'sources', 'we', 'find', 'plane', 'waves', 'solutions', 'with', 'the', 'properties', 'of', 'electromagnetic', 'waves']] | [-0.19623498392511943, 0.17237416669530303, -0.03373277626049362, 0.08870856689387246, -0.05535140061309855, -0.08169436788088397, 0.0012370474930656584, 0.31759706502290147, -0.20764876245275923, -0.2520437597444183, 0.05873636061656534, -0.3960785531487904, -0.13174416926248292, 0.1476648311608618, 0.09494300384463522, 0.06678018231238973, 0.00430777543959649, 0.02861712544568275, -0.04660366475582123, -0.13085409744005455, 0.34916087811028484, -0.02381712306094797, 0.2553002376011328, 0.003815003205090761, 0.0826736024433845, -0.04115111051789044, 0.03537739097067204, 0.014476597554197437, -0.17111882314968266, -0.003963186062480274, 0.22889948758835854, 0.03621373246546442, 0.1305928738836787, -0.47510633093157884, -0.2699892073869705, 0.057777914304384274, 0.19449233485532827, 0.18713673174773393, -0.08987248097056229, -0.35553249496182326, 0.043646311044300855, -0.10111725889146328, -0.2081318339823108, -0.006832813562237118, -0.048685691794258, 0.10035817879007052, -0.19508537548398108, 0.08299291217209477, -0.011555359478255636, 0.013751343382816566, -0.1422880561654701, -0.06538685046038345, -0.07236856231956106, 0.0699633234425595, 0.1422950239564096, 0.005803230745521815, 0.0865149429607156, -0.25525960294333727, -0.10853322891910609, 0.4267621091321895, -0.11509918436211974, -0.2759560545612323, 0.16918047130303948, -0.1777473472450909, -0.021611969403334354, 0.14902671307668483, 0.18334846088270607, 0.2038675207938803, -0.14258455717936158, 0.12110771679956663, -0.06703669180799472, 0.14199727881503732, 0.08032970386557281, 0.09937722120728147, 0.2850806940543024, 0.107014409854616, 0.016323849730389684, 0.18988987852476144, -0.0878966354617947, -0.08419882986498506, -0.3008594285500677, -0.13605502875227676, -0.13290767471220247, 0.029999107955709883, -0.04768659485968161, -0.2081220439301289, 0.45786457812707676, 0.16000624812257133, 0.13080905691573494, -0.030376154782348556, 0.23647294075865494, 0.15751119300808855, 0.04554463594563698, 0.10984781845227669, 0.34306873547795574, 0.157206328340659, 0.123060628624731, -0.16958889938082153, -0.09932660393563933, 0.0979696361004914] |
708.3174 | On the topology of surface singularities {z^n=f(x,y)}, for f irreducible | The splice quotients are an interesting class of normal surface singularities
with rational homology sphere links, defined by W. Neumann and J. Wahl. If
Gamma is a tree of rational curves that satisfies certain combinatorial
conditions, then there exist splice quotients with resolution graph Gamma.
Suppose the equation z^n=f(x,y) defines a surface X_{f,n} with an isolated
singularity at the origin in C^3. For f irreducible, we completely
characterize, in terms of n and a variant of the Puiseux pairs of f, those
X_{f,n} for which the resolution graph satisfies the combinatorial conditions
that are necessary for splice quotients. This result is topological; whether or
not X_{f,n} is analytically isomorphic to a splice quotient is treated
separately.
| math.AG | the splice quotients are an interesting class of normal surface singularities with rational homology sphere links defined by w neumann and j wahl if gamma is a tree of rational curves that satisfies certain combinatorial conditions then there exist splice quotients with resolution graph gamma suppose the equation znfxy defines a surface x_fn with an isolated singularity at the origin in c3 for f irreducible we completely characterize in terms of n and a variant of the puiseux pairs of f those x_fn for which the resolution graph satisfies the combinatorial conditions that are necessary for splice quotients this result is topological whether or not x_fn is analytically isomorphic to a splice quotient is treated separately | [['the', 'splice', 'quotients', 'are', 'an', 'interesting', 'class', 'of', 'normal', 'surface', 'singularities', 'with', 'rational', 'homology', 'sphere', 'links', 'defined', 'by', 'w', 'neumann', 'and', 'j', 'wahl', 'if', 'gamma', 'is', 'a', 'tree', 'of', 'rational', 'curves', 'that', 'satisfies', 'certain', 'combinatorial', 'conditions', 'then', 'there', 'exist', 'splice', 'quotients', 'with', 'resolution', 'graph', 'gamma', 'suppose', 'the', 'equation', 'znfxy', 'defines', 'a', 'surface', 'x_fn', 'with', 'an', 'isolated', 'singularity', 'at', 'the', 'origin', 'in', 'c3', 'for', 'f', 'irreducible', 'we', 'completely', 'characterize', 'in', 'terms', 'of', 'n', 'and', 'a', 'variant', 'of', 'the', 'puiseux', 'pairs', 'of', 'f', 'those', 'x_fn', 'for', 'which', 'the', 'resolution', 'graph', 'satisfies', 'the', 'combinatorial', 'conditions', 'that', 'are', 'necessary', 'for', 'splice', 'quotients', 'this', 'result', 'is', 'topological', 'whether', 'or', 'not', 'x_fn', 'is', 'analytically', 'isomorphic', 'to', 'a', 'splice', 'quotient', 'is', 'treated', 'separately']] | [-0.19525294502103782, 0.08205182774463142, -0.1055453604006249, 0.06264876959511362, -0.09495790543682549, -0.194773657457984, 0.0006202191256148659, 0.3600257793461661, -0.3459244240399288, -0.1941692362660947, 0.08146740714816944, -0.2692216414340731, -0.14634960190514507, 0.16617594144873968, -0.12463251433294753, -0.029675853215967832, 0.07911826111376286, 0.12292139912833987, -0.062377432971033674, -0.2774823068302003, 0.384899617823185, -0.0501376675279892, 0.1842847436334958, 0.06438818009084334, 0.08841150001541752, -0.011711163183107325, 0.013980138658181481, 0.022141191476713055, -0.23924344387373625, 0.030587777762633304, 0.30338606191394124, 0.08899569666499028, 0.17776661188159462, -0.35313759110867976, -0.1322971340086635, 0.23964510012175078, 0.12114725342101378, -0.05323330545089329, -0.003404736765862807, -0.21010154595841532, 0.14934394712276433, -0.10908895971496468, -0.15574172544495568, -0.03142820599326945, 0.07589691679762757, 0.0223437808636252, -0.2472594925283414, 0.011396800321729288, 0.09479774394598992, 0.10461826351592722, -0.01195801431313157, -0.06678631652308548, -0.10398012436116519, 0.07914320489027254, -0.04672785491126453, 0.05695075263147769, 0.058640008015588496, -0.10850342558291944, -0.09166901018875448, 0.34699262636511224, -0.01411241980816197, -0.26512116848531625, 0.15875009061444711, -0.1498573285507281, -0.18687337108725763, 0.1849973341855018, -0.01947625410621581, 0.14259318597614765, -0.0709694030679479, 0.19181949931864992, -0.09873545457325551, 0.08302696491389171, 0.1593867319372847, -0.020737657347775024, 0.1530728719521152, 0.06802010531334773, 0.09931380458824013, 0.14337670505148076, -0.008440237111695434, 0.02080659285268706, -0.3602551983102508, -0.167994827505849, -0.16227051594456576, 0.14485967341701642, -0.08188246262193981, -0.2264661345063992, 0.35689315890650386, -0.013163810895512933, 0.1847649371656387, 0.07339452092596532, 0.20981127830303234, 0.08142591709190089, 0.03151173381661267, 0.07260705517281009, 0.0753495465984325, 0.17635210871534504, -0.054465865473384445, -0.16457799484538238, 0.045648068027651825, 0.20673772734792337] |
708.3175 | Fractional charge perspective on the band-gap in density-functional
theory | The calculation of the band-gap by density-functional theory (DFT) methods is
examined by considering the behavior of the energy as a function of number of
electrons. It is found that the incorrect band-gap prediction with most
approximate functionals originates mainly from errors in describing systems
with fractional charges. Formulas for the energy derivatives with respect to
number of electrons are derived which clarify the role of optimized effective
potentials in prediction of the band-gap. Calculations with a recent functional
that has much improved behavior for fractional charges give a good prediction
of the energy gap and also $\epsilon_{{\rm homo}}\simeq-I$ for finite systems.
Our results indicate it is possible, within DFT, to have a functional whose
eigenvalues or derivatives accurately predict the band-gap.
| cond-mat.mtrl-sci | the calculation of the bandgap by densityfunctional theory dft methods is examined by considering the behavior of the energy as a function of number of electrons it is found that the incorrect bandgap prediction with most approximate functionals originates mainly from errors in describing systems with fractional charges formulas for the energy derivatives with respect to number of electrons are derived which clarify the role of optimized effective potentials in prediction of the bandgap calculations with a recent functional that has much improved behavior for fractional charges give a good prediction of the energy gap and also epsilon_rm homosimeqi for finite systems our results indicate it is possible within dft to have a functional whose eigenvalues or derivatives accurately predict the bandgap | [['the', 'calculation', 'of', 'the', 'bandgap', 'by', 'densityfunctional', 'theory', 'dft', 'methods', 'is', 'examined', 'by', 'considering', 'the', 'behavior', 'of', 'the', 'energy', 'as', 'a', 'function', 'of', 'number', 'of', 'electrons', 'it', 'is', 'found', 'that', 'the', 'incorrect', 'bandgap', 'prediction', 'with', 'most', 'approximate', 'functionals', 'originates', 'mainly', 'from', 'errors', 'in', 'describing', 'systems', 'with', 'fractional', 'charges', 'formulas', 'for', 'the', 'energy', 'derivatives', 'with', 'respect', 'to', 'number', 'of', 'electrons', 'are', 'derived', 'which', 'clarify', 'the', 'role', 'of', 'optimized', 'effective', 'potentials', 'in', 'prediction', 'of', 'the', 'bandgap', 'calculations', 'with', 'a', 'recent', 'functional', 'that', 'has', 'much', 'improved', 'behavior', 'for', 'fractional', 'charges', 'give', 'a', 'good', 'prediction', 'of', 'the', 'energy', 'gap', 'and', 'also', 'epsilon_rm', 'homosimeqi', 'for', 'finite', 'systems', 'our', 'results', 'indicate', 'it', 'is', 'possible', 'within', 'dft', 'to', 'have', 'a', 'functional', 'whose', 'eigenvalues', 'or', 'derivatives', 'accurately', 'predict', 'the', 'bandgap']] | [-0.08862421298707443, 0.08390212086633556, -0.0892609877084682, 0.08587818601541991, -0.0047293779986702705, -0.09071031062717526, 0.0782554409974678, 0.3658805972904213, -0.23222072000426724, -0.3601870421644431, 0.02233589402292201, -0.3231058678443521, -0.14250612128833848, 0.18021799234119207, -0.004876900227015938, 0.06707064082080205, 0.04506809637912603, 0.04644593713066179, -0.1092537611512244, -0.1779802328606775, 0.27979198497265945, 0.07595795628514664, 0.24852110053535767, 0.10286659598186966, 0.04261678262913892, -0.011098708739996818, 0.01288178297575594, 0.032151310619982804, -0.1314569384997089, 0.1718974746917644, 0.26908312828380093, -0.03514768424143722, 0.2820171919489695, -0.45815978086869086, -0.2622377993654429, 0.03991239104604672, 0.08747537445646426, 0.11071462926073847, -0.06490242560894406, -0.2503925676973275, 0.11060594046134348, -0.16859650330941292, -0.1324972317146122, -0.10748563011076824, 0.04605852309152607, 0.06766986696064965, -0.2543177111497657, 0.13724321964599023, -0.017984591462949583, 0.012979883077342259, -0.10928879001308694, -0.17259457784470109, -0.06190162538627763, 0.06709535209335048, 0.10196634911747327, 0.0369208416178022, 0.13690066573494844, -0.11787330351523624, -0.10946251871449149, 0.40596146569856684, -0.043751292096158446, -0.19991728819691199, 0.12829770951162378, -0.1264044505694096, -0.0832422959833783, 0.16108915382180333, 0.0855994989560563, 0.10513887729126313, -0.1242919198529841, 0.11320691315547664, 0.010262139449434831, 0.1745401262305677, 0.02140231526549136, 0.07185016037542219, 0.1825649488624955, 0.14530924199657005, 0.05276219344174505, 0.07342016191437287, -0.044399640256392744, -0.1013030075696143, -0.2840383860536597, -0.15448969147699185, -0.2320794019663383, 0.02190163649988076, -0.07718945697923134, -0.20952911210854439, 0.41837774253304094, 0.14340297691139184, 0.1536832770009425, 0.06015694896548155, 0.23281402828956932, 0.20870359654900086, 0.08695707367810089, 0.037295866492088915, 0.2500519359499709, 0.15041692456238218, 0.06026772213407046, -0.24074966847042223, 0.057690573202961795, 0.05936860880421952] |
708.3176 | Integrating out the Dirac sea: Effective field theory approach to
exactly solvable four-fermion models | We use 1+1 dimensional large N Gross-Neveu models as a laboratory to derive
microscopically effective Lagrangians for positive energy fermions only. When
applied to baryons, the Euler-Lagrange equation for these effective theories
assumes the form of a non-linear Dirac equation. Its solution reproduces the
full semi-classical results including the Dirac sea to any desired accuracy.
Dynamical effects from the Dirac sea are encoded in higher order derivative
terms and multi-fermion interactions with perturbatively calculable, finite
coefficients. Characteristic differences between models with discrete and
continuous chiral symmetry are observed and clarified.
| hep-th hep-ph nucl-th | we use 11 dimensional large n grossneveu models as a laboratory to derive microscopically effective lagrangians for positive energy fermions only when applied to baryons the eulerlagrange equation for these effective theories assumes the form of a nonlinear dirac equation its solution reproduces the full semiclassical results including the dirac sea to any desired accuracy dynamical effects from the dirac sea are encoded in higher order derivative terms and multifermion interactions with perturbatively calculable finite coefficients characteristic differences between models with discrete and continuous chiral symmetry are observed and clarified | [['we', 'use', '11', 'dimensional', 'large', 'n', 'grossneveu', 'models', 'as', 'a', 'laboratory', 'to', 'derive', 'microscopically', 'effective', 'lagrangians', 'for', 'positive', 'energy', 'fermions', 'only', 'when', 'applied', 'to', 'baryons', 'the', 'eulerlagrange', 'equation', 'for', 'these', 'effective', 'theories', 'assumes', 'the', 'form', 'of', 'a', 'nonlinear', 'dirac', 'equation', 'its', 'solution', 'reproduces', 'the', 'full', 'semiclassical', 'results', 'including', 'the', 'dirac', 'sea', 'to', 'any', 'desired', 'accuracy', 'dynamical', 'effects', 'from', 'the', 'dirac', 'sea', 'are', 'encoded', 'in', 'higher', 'order', 'derivative', 'terms', 'and', 'multifermion', 'interactions', 'with', 'perturbatively', 'calculable', 'finite', 'coefficients', 'characteristic', 'differences', 'between', 'models', 'with', 'discrete', 'and', 'continuous', 'chiral', 'symmetry', 'are', 'observed', 'and', 'clarified']] | [-0.1188492716393537, 0.19261786739548875, -0.053631850484008384, 0.1483105608391472, -0.09083403491725524, -0.1636090276672298, -0.016894952329393063, 0.2927668928686116, -0.1929356780084264, -0.2889465466969543, 0.014366912793937243, -0.32661170228901837, -0.14193967232842827, 0.09932280006145852, 0.05009101182351717, 0.09637261869631604, -0.006467913047203587, 0.06078095441270206, -0.1401987976135893, -0.2350109624896302, 0.3192033477748434, -0.04493764461949468, 0.23247826631543123, 0.07738955214930078, 0.16274120122996263, -0.025716949580398957, 0.04644807544019487, -0.0007326058008604579, -0.10072614723919994, 0.06216122390081485, 0.25249692856490985, -0.06428705000370327, 0.16032107310990493, -0.43313734679379395, -0.26473201563995746, 0.07413754001156324, 0.1432301766342587, 0.15671220171498135, -0.010439196466985675, -0.31920327904323736, 0.052857248754137096, -0.16843711383149235, -0.20581172205921677, -0.14465830451291467, -0.013359857179845372, -0.03280195514154103, -0.28133905558950373, 0.1452183584676176, -0.017688590212168898, 0.044363720101925234, -0.1066686122949856, -0.14774789181020526, -0.10333899236284197, 0.10031399761436559, 0.06731834349791622, -0.00042791129348592627, 0.06216500594099569, -0.14224853051103611, -0.0795789841704795, 0.4538481424252192, -0.12985946025388936, -0.27781201301970415, 0.16397716829346287, -0.14874499165970417, -0.10469440913552211, 0.11635851295664502, 0.1506413487303588, 0.11041100619153844, -0.15287622099874879, 0.16974180760702842, -0.0049152192607935935, 0.1289762185045725, 0.05617566110773219, 0.038990763530859514, 0.22071909808760715, 0.08563233729607116, 0.014539846301906639, 0.05400338354261799, -0.004028210914435072, -0.16389954400300566, -0.3538911938460337, -0.09974095886573195, -0.1641366814677086, 0.07362194598600683, -0.1158305433004797, -0.15156493991251208, 0.3893829685403034, 0.1270300389079946, 0.15235020156639317, 0.06479844050869966, 0.24059715759423045, 0.1978610071237199, 0.056857171261476144, 0.06554519096906815, 0.201232935472702, 0.17650881292453657, 0.09059206429455015, -0.26170428650091504, -0.04855025427726408, 0.13639690642659036] |
708.3177 | Convergence of products of stochastic matrices with positive diagonals
and the opinion dynamics background | We present a convergence result for infinite products of stochastic matrices
with positive diagonals. We regard infinity of the product to the left. Such a
product converges partly to a fixed matrix if the minimal positive entry of
each matrix does not converge too fast to zero and if either zero-entries are
symmetric in each matrix or the length of subproducts which reach the maximal
achievable connectivity is bounded.
Variations of this result have been achieved independently in Lorenz 2005,
Moreau 2005 and Hendrickx 2005. We present briefly the opinion dynamics
context, discuss the relations to infinite products where infinity is to the
right (inhomogeneous Markov processes) and present a small improvement and
sketch another.
| math.OC math.DS | we present a convergence result for infinite products of stochastic matrices with positive diagonals we regard infinity of the product to the left such a product converges partly to a fixed matrix if the minimal positive entry of each matrix does not converge too fast to zero and if either zeroentries are symmetric in each matrix or the length of subproducts which reach the maximal achievable connectivity is bounded variations of this result have been achieved independently in lorenz 2005 moreau 2005 and hendrickx 2005 we present briefly the opinion dynamics context discuss the relations to infinite products where infinity is to the right inhomogeneous markov processes and present a small improvement and sketch another | [['we', 'present', 'a', 'convergence', 'result', 'for', 'infinite', 'products', 'of', 'stochastic', 'matrices', 'with', 'positive', 'diagonals', 'we', 'regard', 'infinity', 'of', 'the', 'product', 'to', 'the', 'left', 'such', 'a', 'product', 'converges', 'partly', 'to', 'a', 'fixed', 'matrix', 'if', 'the', 'minimal', 'positive', 'entry', 'of', 'each', 'matrix', 'does', 'not', 'converge', 'too', 'fast', 'to', 'zero', 'and', 'if', 'either', 'zeroentries', 'are', 'symmetric', 'in', 'each', 'matrix', 'or', 'the', 'length', 'of', 'subproducts', 'which', 'reach', 'the', 'maximal', 'achievable', 'connectivity', 'is', 'bounded', 'variations', 'of', 'this', 'result', 'have', 'been', 'achieved', 'independently', 'in', 'lorenz', '2005', 'moreau', '2005', 'and', 'hendrickx', '2005', 'we', 'present', 'briefly', 'the', 'opinion', 'dynamics', 'context', 'discuss', 'the', 'relations', 'to', 'infinite', 'products', 'where', 'infinity', 'is', 'to', 'the', 'right', 'inhomogeneous', 'markov', 'processes', 'and', 'present', 'a', 'small', 'improvement', 'and', 'sketch', 'another']] | [-0.1113787742266268, 0.15421238684467153, -0.04053226462156888, 0.037038839116831423, -0.06515279099990598, -0.15104566375610598, 0.05285095805792432, 0.3627102530781964, -0.2978109348352933, -0.19857024323407627, 0.1850577205554337, -0.27712280991928356, -0.13445066439045036, 0.09112309268471507, -0.09263249842874836, 0.023034276804282217, 0.07423944355462465, 0.07866953323971022, -0.08849887126288786, -0.2870299477996141, 0.2952957194004404, 0.036634880126241526, 0.2166994020277471, 0.06479439082588151, 0.13451998368857362, 0.0006727413437737708, -0.04414603729291182, -0.0001240158780363568, -0.1377928700428783, 0.07889190074842702, 0.23723432435572409, 0.1463442341600169, 0.28407304111476006, -0.3926894998733412, -0.12839749324740024, 0.18544547897845245, 0.15800250189868006, 0.06749827185494564, -0.01522783363613774, -0.2522126501671186, 0.10930311842310945, -0.19468491869210675, -0.15950775719983012, -0.030539277260877976, 0.06208573365093846, 0.03564285720584162, -0.29415474276940684, 0.04315508356350556, 0.10131544167208567, 0.026360808765483006, -0.011344172676265436, -0.12975869058190206, 0.01383520144838513, 0.14134413897460163, 0.06106705167494191, 0.01075132973614688, 0.09231149172001894, -0.04959222528340066, -0.09729585156055053, 0.3207066593560995, -0.09966538211314432, -0.24900399363321954, 0.1786471092787555, -0.16650893906000674, -0.1271664539245856, 0.10649736105104941, 0.1323743358932501, 0.1175786978524309, -0.09238882107137326, 0.14413833628886527, -0.08704265731533892, 0.11687146914252815, 0.09647293196451899, -0.009500918223669655, 0.1328496979100205, 0.09091047241797737, 0.11898423597551555, 0.12806560785362595, -0.0017464743240883476, -0.10756116221544512, -0.29783335326468213, -0.1435737326749388, -0.18227122002689725, 0.1035189938840248, -0.10682609715251856, -0.2072495011645451, 0.3666203438688331, 0.11041659701680928, 0.24037089042790366, 0.0918485350557603, 0.2506463483799036, 0.14196266976528263, 0.016111476306002914, 0.1052161796557668, 0.17650014810721604, 0.17341760713954277, 0.08007898202917554, -0.15544414446738206, 0.08573129487309702, 0.10415729285223438] |
708.3178 | Phase diagram of a Bose-Fermi mixture in a one-dimensional optical
lattice in terms of fidelity and entanglement | We study the ground-state phase diagram of a Bose-Fermi mixture loaded in a
one-dimensional optical lattice by computing the ground-state fidelity and
quantum entanglement. We find that the fidelity is able to signal quantum phase
transitions between the Luttinger liquid phase, the density-wave phase, and the
phase separation state of the system; and the concurrence can be used to signal
the transition between the density-wave phase and the Ising phase.
| cond-mat.str-el | we study the groundstate phase diagram of a bosefermi mixture loaded in a onedimensional optical lattice by computing the groundstate fidelity and quantum entanglement we find that the fidelity is able to signal quantum phase transitions between the luttinger liquid phase the densitywave phase and the phase separation state of the system and the concurrence can be used to signal the transition between the densitywave phase and the ising phase | [['we', 'study', 'the', 'groundstate', 'phase', 'diagram', 'of', 'a', 'bosefermi', 'mixture', 'loaded', 'in', 'a', 'onedimensional', 'optical', 'lattice', 'by', 'computing', 'the', 'groundstate', 'fidelity', 'and', 'quantum', 'entanglement', 'we', 'find', 'that', 'the', 'fidelity', 'is', 'able', 'to', 'signal', 'quantum', 'phase', 'transitions', 'between', 'the', 'luttinger', 'liquid', 'phase', 'the', 'densitywave', 'phase', 'and', 'the', 'phase', 'separation', 'state', 'of', 'the', 'system', 'and', 'the', 'concurrence', 'can', 'be', 'used', 'to', 'signal', 'the', 'transition', 'between', 'the', 'densitywave', 'phase', 'and', 'the', 'ising', 'phase']] | [-0.1946489882988057, 0.2711479585351689, -0.11216922298605952, 0.018244013996861343, 0.04171249233186245, -0.17263137263112835, 0.14299558076475347, 0.3801801931645189, -0.23492635693401098, -0.22798171914847834, 0.05958856589526736, -0.2802365017788751, -0.14167535430086511, 0.08494062228128314, 0.0751441778482071, 0.13332996887287923, -0.029440004692878573, -0.0005388068467644709, -0.18376288344484887, -0.1806955762207508, 0.2796806300325053, -0.03201705052051693, 0.3183945975665535, 0.052713413583114745, 0.03338692997848349, -0.014777132080468748, 0.1869271723021354, -0.022478166914411953, -0.17440053971336705, -0.007521884555795363, 0.27386016526392526, 0.006683688930102757, 0.10600758312003954, -0.38752204586884803, -0.19999985342313137, 0.17074629253641302, 0.11934890064543911, 0.19224795246762888, -0.012961281004494854, -0.38589624677385603, -0.08787343353033066, -0.2024663891909378, -0.07466523553510862, -0.14219012696828162, -0.05433393617027572, -0.02301778652680306, -0.22695701100996563, 0.1461622980955456, 0.0575740453022133, 0.054194806941917965, -0.012739532653774534, -0.01933090357342735, -0.03965343210314001, 0.1315872276002275, -0.0826089824050931, 0.10341237335399325, 0.09598212706457292, -0.17202619556337595, -0.10261004363585796, 0.39188362966690743, -0.05643871109600046, -0.090945890173316, 0.1751709563125457, -0.17188947295237864, -0.0386129364703915, 0.1561365186635937, 0.09821934223042003, -0.00491478725203446, -0.08476276380409087, -0.013871134501615805, 0.041584353667816945, 0.2593728372523661, -0.04316857642760234, 0.07092692677064666, 0.27896226410354885, 0.14970713220536708, 0.021075565846902983, 0.29815496875339054, -0.1640162471016603, -0.21389225253037045, -0.24666439634082574, -0.22364508234230535, -0.28922137862869673, -0.02398511950325753, -0.0928768903407867, -0.15874307746333735, 0.45371621175269994, 0.13740648939274253, 0.17782119786632913, -0.03694569182449153, 0.26011720598409216, 0.1289361325491752, -0.03812524141477687, 0.01972771286299186, 0.2892581639811397, 0.18022334786198502, 0.10242262521559106, -0.36326480226458185, 0.024105069427085773, 0.11273047739107694] |
708.3179 | A physical basis for MOND | MOND is a phenomenological theory with no apparent physical justification
which seems to undermine some of the basic principles that underpin established
theoretical physics. It is nevertheless remarkably successful over its sphere
of application and this suggests MOND may have some physical basis. It is shown
here that two simple axioms pertaining to fundamental principles will reproduce
the characteristic behaviour of MOND, though the axioms are in conflict with
general relativistic cosmology.
| physics.gen-ph | mond is a phenomenological theory with no apparent physical justification which seems to undermine some of the basic principles that underpin established theoretical physics it is nevertheless remarkably successful over its sphere of application and this suggests mond may have some physical basis it is shown here that two simple axioms pertaining to fundamental principles will reproduce the characteristic behaviour of mond though the axioms are in conflict with general relativistic cosmology | [['mond', 'is', 'a', 'phenomenological', 'theory', 'with', 'no', 'apparent', 'physical', 'justification', 'which', 'seems', 'to', 'undermine', 'some', 'of', 'the', 'basic', 'principles', 'that', 'underpin', 'established', 'theoretical', 'physics', 'it', 'is', 'nevertheless', 'remarkably', 'successful', 'over', 'its', 'sphere', 'of', 'application', 'and', 'this', 'suggests', 'mond', 'may', 'have', 'some', 'physical', 'basis', 'it', 'is', 'shown', 'here', 'that', 'two', 'simple', 'axioms', 'pertaining', 'to', 'fundamental', 'principles', 'will', 'reproduce', 'the', 'characteristic', 'behaviour', 'of', 'mond', 'though', 'the', 'axioms', 'are', 'in', 'conflict', 'with', 'general', 'relativistic', 'cosmology']] | [-0.08377797511477386, 0.08776867958335464, -0.2074636361018444, 0.17376521350363167, -0.1620771075605363, -0.19345087908570552, -0.010171226492578475, 0.33860389451082384, -0.2386734934342611, -0.2908821251346833, 0.06106157232716214, -0.17518633305897108, -0.20017149746905083, 0.2257524978162514, -0.11364710338077405, 0.03838652470262281, 0.01023558903640757, 0.051006312747227237, -0.056587568632999644, -0.23706339772130983, 0.305807397985417, 0.06951519836891545, 0.2384527364208932, 0.07318629187324809, 0.07509396339689071, -0.07742068826013969, -0.009307403854715327, 0.060582212896810636, -0.1375453394860718, 0.08247931451640195, 0.25542266124911195, 0.17225245144800283, 0.2651419699605968, -0.4605964172579762, -0.2520770352780851, 0.048594662790290184, 0.1033210563667429, 0.14087484988421137, -0.03227817832440552, -0.19544565450632945, 0.06191817643250235, -0.1524723118895458, -0.22114172376071414, -0.11248563457047567, 0.05290846624282292, -0.012593547600166252, -0.168164182958814, 0.06274004324546291, 0.06872227894685541, 0.06097298599262205, -0.050013036358804025, -0.11994068955633945, 0.05007360237909274, 0.04787348439114996, 0.10669969409354962, 0.03529707229204683, 0.12056855392357749, -0.09872117745625372, -0.12485288132059698, 0.4851941212158029, 0.04636733054131684, -0.15368210609691837, 0.23774550302833733, -0.18054556691398224, -0.21929165810838136, 0.04566486567879716, 0.021631393646303978, -0.0017848463935984506, -0.16370113222607566, 0.11371034782092061, -0.08500867021373576, 0.1422572937509459, 0.03693576838122681, 0.08378162589037351, 0.2756691374072236, 0.16141486822420525, -0.03344495565721041, -0.027964827056469705, 0.027836102303505566, -0.17995581871622968, -0.38390346621680593, -0.11952185686014774, -0.15881053686947175, 0.08193661549335553, -0.09128847194996423, -0.1396926635784944, 0.334232754866308, 0.18953504599145768, 0.11047091360928284, 0.06862686695239972, 0.27497698578776586, 0.08812200626481273, 0.05231505612997959, 0.017615365944544062, 0.35403912668779314, 0.16459323460650113, 0.0694536907750363, -0.17667049075114644, 0.09600226057874453, 0.02221798916838856] |
708.318 | Curved Casimir Operators and the BGG Machinery | We prove that the Casimir operator acting on sections of a homogeneous vector
bundle over a generalized flag manifold naturally extends to an invariant
differential operator on arbitrary parabolic geometries. We study some
properties of the resulting invariant operators and compute their action on
various special types of natural bundles. As a first application, we give a
very general construction of splitting operators for parabolic geometries. Then
we discuss the curved Casimir operators on differential forms with values in a
tractor bundle, which nicely relates to the machinery of BGG sequences. This
also gives a nice interpretation of the resolution of a finite dimensional
representation by (spaces of smooth vectors in) principal series
representations provided by a BGG sequence.
| math.DG math.RT | we prove that the casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries we study some properties of the resulting invariant operators and compute their action on various special types of natural bundles as a first application we give a very general construction of splitting operators for parabolic geometries then we discuss the curved casimir operators on differential forms with values in a tractor bundle which nicely relates to the machinery of bgg sequences this also gives a nice interpretation of the resolution of a finite dimensional representation by spaces of smooth vectors in principal series representations provided by a bgg sequence | [['we', 'prove', 'that', 'the', 'casimir', 'operator', 'acting', 'on', 'sections', 'of', 'a', 'homogeneous', 'vector', 'bundle', 'over', 'a', 'generalized', 'flag', 'manifold', 'naturally', 'extends', 'to', 'an', 'invariant', 'differential', 'operator', 'on', 'arbitrary', 'parabolic', 'geometries', 'we', 'study', 'some', 'properties', 'of', 'the', 'resulting', 'invariant', 'operators', 'and', 'compute', 'their', 'action', 'on', 'various', 'special', 'types', 'of', 'natural', 'bundles', 'as', 'a', 'first', 'application', 'we', 'give', 'a', 'very', 'general', 'construction', 'of', 'splitting', 'operators', 'for', 'parabolic', 'geometries', 'then', 'we', 'discuss', 'the', 'curved', 'casimir', 'operators', 'on', 'differential', 'forms', 'with', 'values', 'in', 'a', 'tractor', 'bundle', 'which', 'nicely', 'relates', 'to', 'the', 'machinery', 'of', 'bgg', 'sequences', 'this', 'also', 'gives', 'a', 'nice', 'interpretation', 'of', 'the', 'resolution', 'of', 'a', 'finite', 'dimensional', 'representation', 'by', 'spaces', 'of', 'smooth', 'vectors', 'in', 'principal', 'series', 'representations', 'provided', 'by', 'a', 'bgg', 'sequence']] | [-0.15583698814460897, 0.05375549155974686, -0.09898330855472874, 0.0846987541759105, -0.12050181288201706, -0.09407016445595004, -0.051027385563933984, 0.36034925638291077, -0.2945628395507566, -0.18550299396034048, 0.0938058671866301, -0.21306159610453085, -0.1897049900418257, 0.21923388516483436, -0.12652958802753636, 0.012254765582150592, 0.06381336455585576, 0.09245250761868949, -0.15849923670581473, -0.21020133953302816, 0.47108871436544825, -0.009173637863538158, 0.24848332000943293, 0.02965831130492587, 0.18545624064751157, 0.03898865572752103, -0.02929107695348373, 0.002542740391457782, -0.13524609998470424, 0.19702167119517797, 0.2566980358150576, 0.0285350939419371, 0.198979809158286, -0.38507172803417977, -0.16328585690876446, 0.12772184630715044, 0.10726419812608354, 0.06404715704735556, -0.02326922688218413, -0.28992836870753963, 0.06590001108985738, -0.16532156948575422, -0.15501615052119272, -0.11478876345986579, 0.03965127526805932, 0.024488217586714055, -0.2571975529029283, -0.015107280455633388, 0.09353824409053606, 0.10062313407753445, -0.13699000074426418, -0.07586065508687415, -0.027590279683603773, 0.06486171809173807, 0.007878008788694166, -0.02211481226831205, 0.10879039512008053, -0.06833506244736844, -0.13922604268510677, 0.3577082168717845, -0.11914250538723559, -0.30027467013970643, 0.135805648853298, -0.15821406678022706, -0.13385410116938481, 0.0826234790475006, 0.16852315449539354, 0.1886351889844577, -0.05650269838848284, 0.1604657452705144, -0.10050670613785188, 0.05930550274646552, 0.09751634351408281, 0.005910610219076307, 0.13077411790644483, 0.09110215639484216, 0.10557101717406586, 0.1334592587321394, 0.022986076983521467, -0.09790189665724609, -0.3922727668673551, -0.2342780480465065, -0.07139162067128267, 0.13734301926857723, -0.11585584210470111, -0.21073698361419893, 0.42068598708998756, 0.045611502144372235, 0.3092077372658278, 0.10254758290512127, 0.23487258270508102, 0.12368976258175808, 0.09840025486201517, -0.00936585767517461, 0.11934151091664724, 0.24150729339428934, 0.04681074929897118, -0.15475603001106122, -0.06845292870244872, 0.19845746366401054] |
708.3181 | Point Mutations Effects on Charge Transport Properties of the
Tumor-Suppressor Gene p53 | We report on a theoretical study of point mutations effects on charge
transfer properties in the DNA sequence of the tumor-suppressor p53 gene. On
the basis of effective single-strand or double-strand tight-binding models
which simulate hole propagation along the DNA, a statistical analysis of charge
transmission modulations associated with all possible point mutations is
performed. We find that in contrast to non-cancerous mutations, mutation
hotspots tend to result in significantly weaker {\em changes of transmission
properties}. This suggests that charge transport could play a significant role
for DNA-repairing deficiency yielding carcinogenesis.
| q-bio.GN cond-mat.soft q-bio.QM | we report on a theoretical study of point mutations effects on charge transfer properties in the dna sequence of the tumorsuppressor p53 gene on the basis of effective singlestrand or doublestrand tightbinding models which simulate hole propagation along the dna a statistical analysis of charge transmission modulations associated with all possible point mutations is performed we find that in contrast to noncancerous mutations mutation hotspots tend to result in significantly weaker em changes of transmission properties this suggests that charge transport could play a significant role for dnarepairing deficiency yielding carcinogenesis | [['we', 'report', 'on', 'a', 'theoretical', 'study', 'of', 'point', 'mutations', 'effects', 'on', 'charge', 'transfer', 'properties', 'in', 'the', 'dna', 'sequence', 'of', 'the', 'tumorsuppressor', 'p53', 'gene', 'on', 'the', 'basis', 'of', 'effective', 'singlestrand', 'or', 'doublestrand', 'tightbinding', 'models', 'which', 'simulate', 'hole', 'propagation', 'along', 'the', 'dna', 'a', 'statistical', 'analysis', 'of', 'charge', 'transmission', 'modulations', 'associated', 'with', 'all', 'possible', 'point', 'mutations', 'is', 'performed', 'we', 'find', 'that', 'in', 'contrast', 'to', 'noncancerous', 'mutations', 'mutation', 'hotspots', 'tend', 'to', 'result', 'in', 'significantly', 'weaker', 'em', 'changes', 'of', 'transmission', 'properties', 'this', 'suggests', 'that', 'charge', 'transport', 'could', 'play', 'a', 'significant', 'role', 'for', 'dnarepairing', 'deficiency', 'yielding', 'carcinogenesis']] | [-0.15845803423324245, 0.11312992188796987, -0.05191281464034587, 0.10243751407925332, -0.0018737171881235718, -0.13032793496955145, 0.1325864778201127, 0.39210748207870494, -0.24373978541724467, -0.22164483334911003, 0.008187792563465622, -0.2803037483872992, -0.22970350633971812, 0.15200785170518533, -0.06340471292019226, -0.028478216551233795, 0.09430101070045546, 0.0019878845954878948, 0.0036552455635961104, -0.1754014131592147, 0.2775378795890033, 0.11252446623330706, 0.31116189042189984, 0.03993259181446406, 0.027307658686480496, 0.015360286244808624, -0.039833675264223906, 0.011587514855972167, -0.1554705624141942, 0.10728980079654596, 0.239438680645997, 0.07343451252332732, 0.24429802221423957, -0.45421530283317807, -0.2720473018930074, 0.09688791524870007, 0.18465000093820388, 0.18880389454863505, -0.10497367411742008, -0.1729642385459934, 0.09395062691123968, -0.13516922468277678, -0.10134956832933292, -0.04423464757254284, 0.004868005336984322, 0.053332103812004955, -0.2575148638505279, 0.1223460273131116, 0.048223561089318454, 0.10733999112055878, -0.0630868731820014, -0.12262403387367056, -0.094188981909263, 0.13767742354872772, 0.09075499604079412, 0.034095160388440064, 0.23160913994200946, -0.10351277206333752, -0.14291805819493164, 0.31855997409713405, -0.027028380955956624, -0.180127281193318, 0.1985933865444065, -0.15761665214118653, -0.1649303041670597, 0.15311652769366008, 0.15892734407353099, 0.09286803425174583, -0.16717912733889698, 0.006847873382437765, 0.0335764828964733, 0.18072585290457446, 0.09431834343109238, 0.04463996629889929, 0.24962161776473682, 0.16523704392144853, 0.03200289040144658, 0.10637137560655227, -0.12981580571975204, -0.11272285522937545, -0.22183282543601615, -0.14965912386816874, -0.10649786537560227, 0.10879259277298639, -0.06649705419693602, -0.2208738444488119, 0.4136226404500142, 0.15541629487415776, 0.1920037590296876, 0.023468799147430514, 0.19659432830561077, 0.05530325310786119, 0.10255365788654079, -0.02248757791161286, 0.16590456099751708, 0.08837868504519208, 0.06337684461993448, -0.32371928160905505, 0.1371471781880082, 0.03262511338630503] |
708.3182 | Topology of Smectic Order on Compact Substrates | Smectic orders on curved substrates can be described by differential forms of
rank one (1-forms), whose geometric meaning is the differential of the local
phase field of density modulation. The exterior derivative of 1-form is the
local dislocation density. Elastic deformations are described by superposition
of exact differential forms. Applying this formalism to study smectic order on
torus as well as on sphere, we find that both systems exhibit many
topologically distinct low energy states, that can be characterized by two
integer topological charges. The total number of low energy states scales as
the square root of the substrate area. For smectic on a sphere, we also explore
the motion of disclinations as possible low energy excitations, as well as its
topological implications.
| cond-mat.soft cond-mat.stat-mech | smectic orders on curved substrates can be described by differential forms of rank one 1forms whose geometric meaning is the differential of the local phase field of density modulation the exterior derivative of 1form is the local dislocation density elastic deformations are described by superposition of exact differential forms applying this formalism to study smectic order on torus as well as on sphere we find that both systems exhibit many topologically distinct low energy states that can be characterized by two integer topological charges the total number of low energy states scales as the square root of the substrate area for smectic on a sphere we also explore the motion of disclinations as possible low energy excitations as well as its topological implications | [['smectic', 'orders', 'on', 'curved', 'substrates', 'can', 'be', 'described', 'by', 'differential', 'forms', 'of', 'rank', 'one', '1forms', 'whose', 'geometric', 'meaning', 'is', 'the', 'differential', 'of', 'the', 'local', 'phase', 'field', 'of', 'density', 'modulation', 'the', 'exterior', 'derivative', 'of', '1form', 'is', 'the', 'local', 'dislocation', 'density', 'elastic', 'deformations', 'are', 'described', 'by', 'superposition', 'of', 'exact', 'differential', 'forms', 'applying', 'this', 'formalism', 'to', 'study', 'smectic', 'order', 'on', 'torus', 'as', 'well', 'as', 'on', 'sphere', 'we', 'find', 'that', 'both', 'systems', 'exhibit', 'many', 'topologically', 'distinct', 'low', 'energy', 'states', 'that', 'can', 'be', 'characterized', 'by', 'two', 'integer', 'topological', 'charges', 'the', 'total', 'number', 'of', 'low', 'energy', 'states', 'scales', 'as', 'the', 'square', 'root', 'of', 'the', 'substrate', 'area', 'for', 'smectic', 'on', 'a', 'sphere', 'we', 'also', 'explore', 'the', 'motion', 'of', 'disclinations', 'as', 'possible', 'low', 'energy', 'excitations', 'as', 'well', 'as', 'its', 'topological', 'implications']] | [-0.2086773265032022, 0.19328661597659433, -0.06419430157014479, 0.053391126822112354, -0.06236766200944236, -0.10050939303270079, -0.03075000665404236, 0.33608233186651054, -0.2927665351094996, -0.32316307910543873, 0.09970431850193356, -0.2610987615620157, -0.1820634834210926, 0.14420951774146984, -0.024952966618593933, 0.04040343410901468, -0.07983362570980458, 0.054751262731274696, -0.08995106544892674, -0.21211224289353542, 0.3452774132412624, 0.01500142093869002, 0.24938527012539163, 0.042411105876705206, 0.11420973159403093, 0.00029459755065116454, 0.04702879570621422, 0.08575669578484797, -0.15061325893788957, 0.06873915187268692, 0.25015178607489036, -0.026395493989613484, 0.15456933455307006, -0.46354188956320286, -0.2215776673359115, 0.04899105626892874, 0.12769666423536535, 0.06782630841603608, -0.015716069499106426, -0.27862257044762373, 0.062321078446807295, -0.161351616956233, -0.1687783360125391, -0.1387800380390713, 0.03672044898943627, 0.05638289254544893, -0.1611056592716737, 0.11567425306643193, 0.05179743472121399, 0.06996919170809471, -0.10378290253702732, -0.11186652062687932, -0.13519427846413015, 0.06220757246502047, 0.048275865413763414, 0.019819360504653757, 0.17931363555580015, -0.1324941993831104, -0.14348578728674874, 0.37494922609908915, -0.05822944807407363, -0.24190571023211851, 0.1565630247937591, -0.1353354352995814, -0.06742585924779618, 0.16520006137188017, 0.1547958030033198, 0.12112432963246048, -0.0619793172804563, 0.09989475692720323, -0.021972568793699326, 0.1597222704061769, 0.11147101286692711, 0.06685371189737858, 0.2564092130604677, 0.13505115263860643, 0.1126249173113781, 0.14737959668926168, -0.08910642377275034, -0.10940873324994103, -0.3337086857394959, -0.20114283679255848, -0.23085587570156024, 0.06421865644009132, -0.10094658058606149, -0.20766668803081278, 0.38060273904716824, 0.014394402602399752, 0.2193329278228244, 0.020509313462383483, 0.23839465963722364, 0.15217983198912466, 0.056363491894207834, 0.018113428863083442, 0.20743946701939392, 0.1797941670075392, 0.043356565993309504, -0.20266576696611274, 0.001527926384857515, 0.09980368089854597] |
708.3183 | Pseudo-periodicity and 1/f noise from the sum of similar intermittent
signals | The usual interpretation of noise is represented by a sum of many independent
two-level elementary random signals with a distribution of relaxation times. In
this paper it is demonstrated that also the superposition of many similar
single-sided two-level signals, with the same relaxation time, produces noise.
This is possible tanks to the coincidences among the signals which introduce
cross-correlations and tune locally the resulting process in trains of
pseudo-periodic pulses. Computer simulations demonstrate the reliability of
this model, which permits to insert in an coherent framework other models
solving problems still open.
| physics.data-an physics.gen-ph | the usual interpretation of noise is represented by a sum of many independent twolevel elementary random signals with a distribution of relaxation times in this paper it is demonstrated that also the superposition of many similar singlesided twolevel signals with the same relaxation time produces noise this is possible tanks to the coincidences among the signals which introduce crosscorrelations and tune locally the resulting process in trains of pseudoperiodic pulses computer simulations demonstrate the reliability of this model which permits to insert in an coherent framework other models solving problems still open | [['the', 'usual', 'interpretation', 'of', 'noise', 'is', 'represented', 'by', 'a', 'sum', 'of', 'many', 'independent', 'twolevel', 'elementary', 'random', 'signals', 'with', 'a', 'distribution', 'of', 'relaxation', 'times', 'in', 'this', 'paper', 'it', 'is', 'demonstrated', 'that', 'also', 'the', 'superposition', 'of', 'many', 'similar', 'singlesided', 'twolevel', 'signals', 'with', 'the', 'same', 'relaxation', 'time', 'produces', 'noise', 'this', 'is', 'possible', 'tanks', 'to', 'the', 'coincidences', 'among', 'the', 'signals', 'which', 'introduce', 'crosscorrelations', 'and', 'tune', 'locally', 'the', 'resulting', 'process', 'in', 'trains', 'of', 'pseudoperiodic', 'pulses', 'computer', 'simulations', 'demonstrate', 'the', 'reliability', 'of', 'this', 'model', 'which', 'permits', 'to', 'insert', 'in', 'an', 'coherent', 'framework', 'other', 'models', 'solving', 'problems', 'still', 'open']] | [-0.12623863246129907, 0.14879780020656536, -0.0784092021336698, 0.04729442066920218, -0.025478278651185658, -0.14513043546036858, 0.015103439118399325, 0.3725101827826027, -0.3191163393506861, -0.29624505582994415, 0.07075504998236125, -0.2590635895334265, -0.15484432442399734, 0.20639941934243086, -0.04115403141401222, 0.041506307533658714, 0.07983781072392088, 0.024516143000927634, -0.02420985513257936, -0.22820776143951504, 0.24972398703634416, 0.06413874866278924, 0.2972564683498248, -0.030284545116086047, 0.13902017915287337, 0.025242684358406976, -0.024628236034439633, -0.013162990513196944, -0.028510580796374477, 0.1008869206625209, 0.2708510953707841, 0.12134272877293646, 0.26016975949396903, -0.4440748198464027, -0.23810724381600384, 0.12235774399469727, 0.13420131927610465, 0.12298062326558663, -0.03909163746942321, -0.2799596312739279, 0.04858389433534087, -0.1269372024613878, -0.10150336645007052, -0.049399687787112984, 0.014821797730806082, 0.05245084938613455, -0.2727015981066, 0.07089092725927122, 0.09509685335101296, -0.019365734167639977, -0.020381618086147406, -0.06005868026683026, 0.07016936267736247, 0.0922023712330923, 0.03404933279702875, 0.00231315352468063, 0.11800123840246511, -0.09166422069234692, -0.16708157510678892, 0.36730039638021716, -0.05631274185345873, -0.21808405306554682, 0.21219018419556643, -0.10736541402951369, -0.09864269893454469, 0.15330403117695823, 0.14275001475344534, 0.11367205999103254, -0.20720140938647091, 0.0410765994981731, -0.046142967782266765, 0.21418205143899008, 0.07215676774554279, 0.052023301979162447, 0.1938740656680792, 0.18342434606039087, 0.061042232589502615, 0.18420867311183625, -0.061744226729902235, -0.10502590237086659, -0.2824793236852755, -0.09910643240689988, -0.1902078192595028, 0.04276998928980902, -0.05850754967247232, -0.18965182979793652, 0.4326326313185627, 0.16286947012058986, 0.1871727193229953, 0.044856185015068266, 0.33324895940883004, 0.15140476796533103, 0.027769038737144158, 0.04883967324301763, 0.18276975739939624, 0.13957024469171933, 0.04575991330911284, -0.21738895770850714, 0.04951118771999102, -0.02308963483158985] |
708.3184 | Unitarity in the Brout-Englert-Higgs Mechanism for Gravity | Just like the vector bosons in Abelian and non-Abelian gauge theories,
gravitons can attain mass by spontaneous local symmetry breaking. The question
is whether this can happen in a Lorentz-invariant way. We consider the use of
four scalar fields that break coordinate reparametrization invariance, by
playing the role of preferred flat coordinates x, y, z, and t. In the unbroken
representation, the theory has a (negative) cosmological constant, which is
tuned to zero by the scalars in the broken phase. Massive spin 2 bosons and a
single massive scalar survive. The theory is not renormalizable, so at best it
can be viewed as an effective field theory for massive spin 2 particles. One
may think of applications in cosmology, but a more tantalizing idea is to apply
it to string theory approaches to QCD: if the gluon sector is to be described
by a compactified 26 or 10 dimensional bosonic string theory, then the ideas
considered here could be used to describe the mechanism that removes a massless
or tachyonic scalar and provides mass to the spin 2 glueball states. The
delicate problem of removing indefinite metric and/or negative energy states is
addressed. The scalar particle has negative metric, so that unitarity demands
that only states with an even number of them are allowed. Various ways are
considered to adapt the matter section of the theory such that matter only
couples to positive metric states, and we succeed in suppressing the main
contributions to unitarity-violating amplitudes, but the exact restoration of
unitarity in the spinless sector will continue to be a delicate issue in
theories of this sort.
| hep-th gr-qc | just like the vector bosons in abelian and nonabelian gauge theories gravitons can attain mass by spontaneous local symmetry breaking the question is whether this can happen in a lorentzinvariant way we consider the use of four scalar fields that break coordinate reparametrization invariance by playing the role of preferred flat coordinates x y z and t in the unbroken representation the theory has a negative cosmological constant which is tuned to zero by the scalars in the broken phase massive spin 2 bosons and a single massive scalar survive the theory is not renormalizable so at best it can be viewed as an effective field theory for massive spin 2 particles one may think of applications in cosmology but a more tantalizing idea is to apply it to string theory approaches to qcd if the gluon sector is to be described by a compactified 26 or 10 dimensional bosonic string theory then the ideas considered here could be used to describe the mechanism that removes a massless or tachyonic scalar and provides mass to the spin 2 glueball states the delicate problem of removing indefinite metric andor negative energy states is addressed the scalar particle has negative metric so that unitarity demands that only states with an even number of them are allowed various ways are considered to adapt the matter section of the theory such that matter only couples to positive metric states and we succeed in suppressing the main contributions to unitarityviolating amplitudes but the exact restoration of unitarity in the spinless sector will continue to be a delicate issue in theories of this sort | [['just', 'like', 'the', 'vector', 'bosons', 'in', 'abelian', 'and', 'nonabelian', 'gauge', 'theories', 'gravitons', 'can', 'attain', 'mass', 'by', 'spontaneous', 'local', 'symmetry', 'breaking', 'the', 'question', 'is', 'whether', 'this', 'can', 'happen', 'in', 'a', 'lorentzinvariant', 'way', 'we', 'consider', 'the', 'use', 'of', 'four', 'scalar', 'fields', 'that', 'break', 'coordinate', 'reparametrization', 'invariance', 'by', 'playing', 'the', 'role', 'of', 'preferred', 'flat', 'coordinates', 'x', 'y', 'z', 'and', 't', 'in', 'the', 'unbroken', 'representation', 'the', 'theory', 'has', 'a', 'negative', 'cosmological', 'constant', 'which', 'is', 'tuned', 'to', 'zero', 'by', 'the', 'scalars', 'in', 'the', 'broken', 'phase', 'massive', 'spin', '2', 'bosons', 'and', 'a', 'single', 'massive', 'scalar', 'survive', 'the', 'theory', 'is', 'not', 'renormalizable', 'so', 'at', 'best', 'it', 'can', 'be', 'viewed', 'as', 'an', 'effective', 'field', 'theory', 'for', 'massive', 'spin', '2', 'particles', 'one', 'may', 'think', 'of', 'applications', 'in', 'cosmology', 'but', 'a', 'more', 'tantalizing', 'idea', 'is', 'to', 'apply', 'it', 'to', 'string', 'theory', 'approaches', 'to', 'qcd', 'if', 'the', 'gluon', 'sector', 'is', 'to', 'be', 'described', 'by', 'a', 'compactified', '26', 'or', '10', 'dimensional', 'bosonic', 'string', 'theory', 'then', 'the', 'ideas', 'considered', 'here', 'could', 'be', 'used', 'to', 'describe', 'the', 'mechanism', 'that', 'removes', 'a', 'massless', 'or', 'tachyonic', 'scalar', 'and', 'provides', 'mass', 'to', 'the', 'spin', '2', 'glueball', 'states', 'the', 'delicate', 'problem', 'of', 'removing', 'indefinite', 'metric', 'andor', 'negative', 'energy', 'states', 'is', 'addressed', 'the', 'scalar', 'particle', 'has', 'negative', 'metric', 'so', 'that', 'unitarity', 'demands', 'that', 'only', 'states', 'with', 'an', 'even', 'number', 'of', 'them', 'are', 'allowed', 'various', 'ways', 'are', 'considered', 'to', 'adapt', 'the', 'matter', 'section', 'of', 'the', 'theory', 'such', 'that', 'matter', 'only', 'couples', 'to', 'positive', 'metric', 'states', 'and', 'we', 'succeed', 'in', 'suppressing', 'the', 'main', 'contributions', 'to', 'unitarityviolating', 'amplitudes', 'but', 'the', 'exact', 'restoration', 'of', 'unitarity', 'in', 'the', 'spinless', 'sector', 'will', 'continue', 'to', 'be', 'a', 'delicate', 'issue', 'in', 'theories', 'of', 'this', 'sort']] | [-0.14098531736100942, 0.2617005975344679, -0.09103454017156819, 0.13340483397530364, -0.10352048175687444, -0.195842592837984, 0.010837793767229835, 0.3202691071227179, -0.22796172399417872, -0.2859111181664482, 0.05509555488242768, -0.26052601624683325, -0.11905764243669752, 0.08865673710816234, -0.021278706155091857, 0.014245552731914196, -0.019239594700742765, 0.07753315638427609, -0.05868536538753742, -0.2800857665064161, 0.3427719743262087, 0.024580110185484248, 0.22947471597190225, 0.07134436452743917, 0.08651441003416609, 0.006567724936106589, 0.006225041212399365, -0.009244756821765383, -0.07268681717787738, 0.06511499016300719, 0.23127317430152655, 0.09215768160639025, 0.21229845829440086, -0.4172335203403412, -0.22434929662397993, 0.13571668185342325, 0.18735314446845466, 0.14832906268403254, -0.04249170279451133, -0.2683925216473681, 0.09387827411801346, -0.16920011266787996, -0.1923812344612088, -0.10007621029760244, -0.01407762456649685, -0.1337999824153037, -0.2569186710709108, 0.0807050178708194, 0.03494379025234132, -0.016885580557985787, -0.023470497317438416, -0.06998064829759411, -0.044806987148407265, 0.068577983347984, 0.12712487795020092, 0.08216059782130491, 0.14373616718403898, -0.19063519472300283, -0.13166471656738543, 0.40451934799437284, -0.08107087705736118, -0.2402456357081268, 0.1661708526775491, -0.1248048017524294, -0.1498314490552241, 0.09837434031486289, 0.1287272357503074, 0.11969828328003485, -0.12744152610739276, 0.17293357700629117, -0.02332109985907854, 0.1620638182303354, 0.08478525721853766, 0.04086190845240464, 0.2812594193513436, 0.07829916862937719, 0.06010053100398005, 0.07858230355855968, -0.009596419083358504, -0.10739377507793982, -0.3385214975882155, -0.1519741179285147, -0.14354533086437038, 0.09905550488425678, -0.07245248475314227, -0.135590856730653, 0.3591367448610601, 0.12265911789323419, 0.18681691150587582, 0.0008696286305750428, 0.25147154894153545, 0.1155811324363762, 0.10375276580192287, 0.048899180120302005, 0.2698544118311882, 0.15007341548899508, 0.08423980419982725, -0.1872465463160579, -0.05860624901616751, 0.08365751367145732] |
708.3185 | Nucleosynthesis from massive stars 50 years after B2FH | We review some important observed properties of massive stars. Then we
discuss how mass loss and rotation affect their evolution and help in giving
better fits to observational constraints. Consequences for nucleosynthesis at
different metallicities are discussed. Mass loss appear to be the key feature
at high metallicity, while rotation is likely dominant at low and very low
metallicities. We discuss various indications supporting the view that very
metal poor stars had their evolution strongly affected by rotational mixing.
Many features, like the origin of primary nitrogen at low metallicity, that of
the C-rich extremely metal poor halo stars, of He-rich stars in massive
globular clusters, of the O-Na anticorrelation in globular clusters may be
related to the existence of a population of very fast rotating metal poor stars
that we tentatively call the {\it spinstars}. A fraction of these {\it
spinstars} may also be the progenitors of GRB in very metal poor regions. They
may avoid pair instability explosion due to the heavy mass loss undergone
during their early evolutionary phases and be, dependent on their frequency,
important sources of ionising photons in the early Universe.
| astro-ph | we review some important observed properties of massive stars then we discuss how mass loss and rotation affect their evolution and help in giving better fits to observational constraints consequences for nucleosynthesis at different metallicities are discussed mass loss appear to be the key feature at high metallicity while rotation is likely dominant at low and very low metallicities we discuss various indications supporting the view that very metal poor stars had their evolution strongly affected by rotational mixing many features like the origin of primary nitrogen at low metallicity that of the crich extremely metal poor halo stars of herich stars in massive globular clusters of the ona anticorrelation in globular clusters may be related to the existence of a population of very fast rotating metal poor stars that we tentatively call the it spinstars a fraction of these it spinstars may also be the progenitors of grb in very metal poor regions they may avoid pair instability explosion due to the heavy mass loss undergone during their early evolutionary phases and be dependent on their frequency important sources of ionising photons in the early universe | [['we', 'review', 'some', 'important', 'observed', 'properties', 'of', 'massive', 'stars', 'then', 'we', 'discuss', 'how', 'mass', 'loss', 'and', 'rotation', 'affect', 'their', 'evolution', 'and', 'help', 'in', 'giving', 'better', 'fits', 'to', 'observational', 'constraints', 'consequences', 'for', 'nucleosynthesis', 'at', 'different', 'metallicities', 'are', 'discussed', 'mass', 'loss', 'appear', 'to', 'be', 'the', 'key', 'feature', 'at', 'high', 'metallicity', 'while', 'rotation', 'is', 'likely', 'dominant', 'at', 'low', 'and', 'very', 'low', 'metallicities', 'we', 'discuss', 'various', 'indications', 'supporting', 'the', 'view', 'that', 'very', 'metal', 'poor', 'stars', 'had', 'their', 'evolution', 'strongly', 'affected', 'by', 'rotational', 'mixing', 'many', 'features', 'like', 'the', 'origin', 'of', 'primary', 'nitrogen', 'at', 'low', 'metallicity', 'that', 'of', 'the', 'crich', 'extremely', 'metal', 'poor', 'halo', 'stars', 'of', 'herich', 'stars', 'in', 'massive', 'globular', 'clusters', 'of', 'the', 'ona', 'anticorrelation', 'in', 'globular', 'clusters', 'may', 'be', 'related', 'to', 'the', 'existence', 'of', 'a', 'population', 'of', 'very', 'fast', 'rotating', 'metal', 'poor', 'stars', 'that', 'we', 'tentatively', 'call', 'the', 'it', 'spinstars', 'a', 'fraction', 'of', 'these', 'it', 'spinstars', 'may', 'also', 'be', 'the', 'progenitors', 'of', 'grb', 'in', 'very', 'metal', 'poor', 'regions', 'they', 'may', 'avoid', 'pair', 'instability', 'explosion', 'due', 'to', 'the', 'heavy', 'mass', 'loss', 'undergone', 'during', 'their', 'early', 'evolutionary', 'phases', 'and', 'be', 'dependent', 'on', 'their', 'frequency', 'important', 'sources', 'of', 'ionising', 'photons', 'in', 'the', 'early', 'universe']] | [-0.07274197103993539, 0.2005585188140724, -0.08878743133562453, 0.1830477543495207, -0.09881631101924866, -0.08837485616219873, 0.09110693193792818, 0.43230038483871175, -0.1751321804495578, -0.36096540458480464, 0.04158993551126597, -0.2701161607532179, -0.04080213587930336, 0.17211369600864176, -0.09110713411212207, -0.06448085975763512, 0.10581429009848738, -0.06821963578502444, -0.06852767998937837, -0.28310799640777673, 0.3133819315851452, 0.0891942594917541, 0.1903603642895372, 0.0025052700769455038, 0.008565404748713428, -0.15160495790847164, -0.031008731775523667, -0.04835095525256054, -0.1045250154422446, 0.01124531156221594, 0.2542348604021783, 0.13534000141167624, 0.22219454780977996, -0.39867752533216766, -0.201882117851214, 0.08498123903972979, 0.24463015881660868, 0.08420778539051665, -0.15820381673174924, -0.2080289691756355, 0.07261122143603263, -0.1815710105198027, -0.20293205578059437, 0.021113736368217728, 0.02060671623473748, 0.041429781737515735, -0.19178017717163592, 0.13829272173087978, 0.02907154100752849, 0.03893247804664235, -0.08113510067011902, -0.13938349529722316, -0.09463377209332956, 0.0968301715761956, 0.07928545373606491, 0.01826121697680437, 0.15465708394948255, -0.15811561280363465, 0.04650109613757521, 0.42914420902171235, -0.0761940722020074, -0.020376981654388702, 0.3014223004995103, -0.21259299275861557, -0.22410494834433664, 0.12299591045512913, 0.18727773878061, 0.12251704379064554, -0.16270610032152424, -0.043604460338978496, 0.059557303542241376, 0.14262255477061606, 0.0782408686989749, 0.1427342015179123, 0.36819167706099426, 0.14575804187542693, -0.013282023838728686, 0.04263049862621462, -0.12465679199673872, -0.04490334382293158, -0.19891912800404318, -0.11351780078179616, -0.08192299325317941, 0.06941876329735598, -0.16145901662082146, -0.15585032614902966, 0.31542522331231576, 0.12202836698503856, 0.23330407626777488, -0.04014240915110125, 0.26231333427131176, 0.08253601385855719, 0.09910809384150938, 0.07529543105881402, 0.29942125156798827, 0.19205164129566898, 0.1001595517571886, -0.2908639593913972, 0.16594840357058935, -0.03368627315979789] |
708.3186 | Pinch Points and Kasteleyn Transitions: How Spin Ice Changes its Entropy | Complex disordered states - from liquids and glasses to exotic quantum matter
- are ubiquitous in nature. Their key properties include finite entropy,
power-law correlations and emergent organising principles. In spin ice, spin
correlations are determined by an ice rules organising principle that
stabilises a magnetic state with the same zero point entropy as water ice. The
entropy can be manipulated with great precision by a magnetic field: with field
parallel to the trigonal axis one obtains quasi two dimensional kagome ice
which can be mapped onto a dimer model. Here we use a field tilted slightly
away from the trigonal axis to control the dimer statistical weights and
realise the unusual critical behaviour predicted by Kasteleyn. Neutron
scattering on Ho2Ti2O7 reveals pinch point scattering that characterises the
emergent gauge structure of kagome ice; diffuse peaks that shift with field,
signaling the Kasteleyn physics; and an unusual critical point.
| cond-mat.other | complex disordered states from liquids and glasses to exotic quantum matter are ubiquitous in nature their key properties include finite entropy powerlaw correlations and emergent organising principles in spin ice spin correlations are determined by an ice rules organising principle that stabilises a magnetic state with the same zero point entropy as water ice the entropy can be manipulated with great precision by a magnetic field with field parallel to the trigonal axis one obtains quasi two dimensional kagome ice which can be mapped onto a dimer model here we use a field tilted slightly away from the trigonal axis to control the dimer statistical weights and realise the unusual critical behaviour predicted by kasteleyn neutron scattering on ho2ti2o7 reveals pinch point scattering that characterises the emergent gauge structure of kagome ice diffuse peaks that shift with field signaling the kasteleyn physics and an unusual critical point | [['complex', 'disordered', 'states', 'from', 'liquids', 'and', 'glasses', 'to', 'exotic', 'quantum', 'matter', 'are', 'ubiquitous', 'in', 'nature', 'their', 'key', 'properties', 'include', 'finite', 'entropy', 'powerlaw', 'correlations', 'and', 'emergent', 'organising', 'principles', 'in', 'spin', 'ice', 'spin', 'correlations', 'are', 'determined', 'by', 'an', 'ice', 'rules', 'organising', 'principle', 'that', 'stabilises', 'a', 'magnetic', 'state', 'with', 'the', 'same', 'zero', 'point', 'entropy', 'as', 'water', 'ice', 'the', 'entropy', 'can', 'be', 'manipulated', 'with', 'great', 'precision', 'by', 'a', 'magnetic', 'field', 'with', 'field', 'parallel', 'to', 'the', 'trigonal', 'axis', 'one', 'obtains', 'quasi', 'two', 'dimensional', 'kagome', 'ice', 'which', 'can', 'be', 'mapped', 'onto', 'a', 'dimer', 'model', 'here', 'we', 'use', 'a', 'field', 'tilted', 'slightly', 'away', 'from', 'the', 'trigonal', 'axis', 'to', 'control', 'the', 'dimer', 'statistical', 'weights', 'and', 'realise', 'the', 'unusual', 'critical', 'behaviour', 'predicted', 'by', 'kasteleyn', 'neutron', 'scattering', 'on', 'ho2ti2o7', 'reveals', 'pinch', 'point', 'scattering', 'that', 'characterises', 'the', 'emergent', 'gauge', 'structure', 'of', 'kagome', 'ice', 'diffuse', 'peaks', 'that', 'shift', 'with', 'field', 'signaling', 'the', 'kasteleyn', 'physics', 'and', 'an', 'unusual', 'critical', 'point']] | [-0.13441778011746755, 0.2660654092567488, -0.08848891899838639, 0.07007435742618363, -0.059153052137176296, -0.168270674359915, 0.026314513186043522, 0.36059940862310985, -0.30432939435653134, -0.2564095787729333, 0.058514328332155384, -0.2947322625989969, -0.15194881221178133, 0.12875950407493403, 0.047257883669444216, 0.0008757567780763925, -0.04040014554531041, 0.005259392935098434, -0.09120331187795873, -0.1973670300747249, 0.29143011852224565, 0.03394583014210648, 0.31506198831852905, 0.05899032873899809, 0.07188930414394526, 0.03293986378174646, 0.11336140369134796, 0.03558939290518055, -0.1342670965620905, 0.07374952970267444, 0.23902123326397673, -0.03382300215196751, 0.11367680826921295, -0.4423150946671257, -0.22988223521114917, 0.0702019723664437, 0.13798895436830083, 0.14945119500499168, -0.04701662770405944, -0.28193713515224, -0.020496229850211923, -0.1222597611573094, -0.20716265591612198, -0.11785551072826901, -0.025775865212931823, -0.01362040379483785, -0.18877064818350067, 0.09644851212700208, 0.08135474821216851, 0.12494223924721179, -0.07736488497898387, -0.13544964250874053, -0.10683612347355581, 0.04926755185378399, 0.04444250015408865, 0.0728401544339144, 0.21154653927197262, -0.1440003396265409, -0.16536586127342137, 0.38730270027493435, -0.046680310661080894, -0.12479238770011224, 0.17710260374766149, -0.1730058452931746, -0.10744672710215356, 0.2028251705092511, 0.1105589894482828, 0.02885171664612634, -0.12512567861133958, 0.05794729948911791, -0.04072764901076855, 0.1655641079681916, 0.03683030846699768, 0.0176028961182705, 0.3768519158970064, 0.13167426304663626, 0.03136206304790693, 0.17031176358645111, -0.1269479641076304, -0.1736278872371518, -0.2087951847225377, -0.1621226685447935, -0.2306395181118935, 0.10017380077347514, -0.10225624013272412, -0.18092584312834253, 0.34272560173151445, 0.12447701814088678, 0.1768747377951934, -0.04745395885080378, 0.21178758780148868, 0.07591405715777533, 0.08163798656663065, 0.057263120361065276, 0.23102640369463534, 0.197517864296821, 0.10182269458693839, -0.264500055126339, 0.040520677409533946, 0.05247505572402761] |
708.3187 | Dynamical properties and structure of Julia sets of postcritically
bounded polynomial semigroups | We discuss the dynamic and structural properties of polynomial semigroups, a
natural extension of iteration theory to random (walk) dynamics, where the
semigroup $G$ of complex polynomials (under the operation of composition of
functions) is such that there exists a bounded set in the plane which contains
any finite critical value of any map $g \in G$. In general, the Julia set of
such a semigroup $G$ may be disconnected, and each Fatou component of such $G$
is either simply connected or doubly connected (\cite{Su01,Su9}). In this
paper, we show that for any two distinct Fatou components of certain types
(e.g., two doubly connected components of the Fatou set), the boundaries are
separated by a Cantor set of quasicircles (with uniform dilatation) inside the
Julia set of $G.$ Important in this theory is the understanding of various
situations which can and cannot occur with respect to how the Julia sets of the
maps $g \in G$ are distributed within the Julia set of the entire semigroup
$G$. We give several results in this direction and show how such results are
used to generate (semi) hyperbolic semigroups possessing this postcritically
boundedness condition.
| math.DS math.CV | we discuss the dynamic and structural properties of polynomial semigroups a natural extension of iteration theory to random walk dynamics where the semigroup g of complex polynomials under the operation of composition of functions is such that there exists a bounded set in the plane which contains any finite critical value of any map g in g in general the julia set of such a semigroup g may be disconnected and each fatou component of such g is either simply connected or doubly connected citesu01su9 in this paper we show that for any two distinct fatou components of certain types eg two doubly connected components of the fatou set the boundaries are separated by a cantor set of quasicircles with uniform dilatation inside the julia set of g important in this theory is the understanding of various situations which can and cannot occur with respect to how the julia sets of the maps g in g are distributed within the julia set of the entire semigroup g we give several results in this direction and show how such results are used to generate semi hyperbolic semigroups possessing this postcritically boundedness condition | [['we', 'discuss', 'the', 'dynamic', 'and', 'structural', 'properties', 'of', 'polynomial', 'semigroups', 'a', 'natural', 'extension', 'of', 'iteration', 'theory', 'to', 'random', 'walk', 'dynamics', 'where', 'the', 'semigroup', 'g', 'of', 'complex', 'polynomials', 'under', 'the', 'operation', 'of', 'composition', 'of', 'functions', 'is', 'such', 'that', 'there', 'exists', 'a', 'bounded', 'set', 'in', 'the', 'plane', 'which', 'contains', 'any', 'finite', 'critical', 'value', 'of', 'any', 'map', 'g', 'in', 'g', 'in', 'general', 'the', 'julia', 'set', 'of', 'such', 'a', 'semigroup', 'g', 'may', 'be', 'disconnected', 'and', 'each', 'fatou', 'component', 'of', 'such', 'g', 'is', 'either', 'simply', 'connected', 'or', 'doubly', 'connected', 'citesu01su9', 'in', 'this', 'paper', 'we', 'show', 'that', 'for', 'any', 'two', 'distinct', 'fatou', 'components', 'of', 'certain', 'types', 'eg', 'two', 'doubly', 'connected', 'components', 'of', 'the', 'fatou', 'set', 'the', 'boundaries', 'are', 'separated', 'by', 'a', 'cantor', 'set', 'of', 'quasicircles', 'with', 'uniform', 'dilatation', 'inside', 'the', 'julia', 'set', 'of', 'g', 'important', 'in', 'this', 'theory', 'is', 'the', 'understanding', 'of', 'various', 'situations', 'which', 'can', 'and', 'can', 'not', 'occur', 'with', 'respect', 'to', 'how', 'the', 'julia', 'sets', 'of', 'the', 'maps', 'g', 'in', 'g', 'are', 'distributed', 'within', 'the', 'julia', 'set', 'of', 'the', 'entire', 'semigroup', 'g', 'we', 'give', 'several', 'results', 'in', 'this', 'direction', 'and', 'show', 'how', 'such', 'results', 'are', 'used', 'to', 'generate', 'semi', 'hyperbolic', 'semigroups', 'possessing', 'this', 'postcritically', 'boundedness', 'condition']] | [-0.18788697491083, 0.13223527461084347, -0.07177623958541422, 0.018496719895403697, -0.08638379967366759, -0.08415554637450198, 0.01482370307032721, 0.36476436985354305, -0.33848893667780916, -0.20036072166501276, 0.12727767202322962, -0.30414874826592064, -0.14278657203515827, 0.2096920170204431, -0.07363958917655714, 0.028837489993043284, 0.05856425522860744, 0.08432150296428051, -0.03686139825761991, -0.2256966103203546, 0.3848486612776431, -0.11288669678085138, 0.1860052001764949, 0.059834167469446475, 0.0973652038669594, -0.046423266819770895, -0.001486190157108672, 0.06005077539694481, -0.12505003090264308, 0.10984713079515084, 0.2757344324329468, 0.1542502087175222, 0.2716307027731091, -0.39904360068445116, -0.16710889842409973, 0.22060305298688818, 0.100927124416967, -0.025518939524391635, 0.004675959073572726, -0.24420295774215023, 0.129831325977124, -0.12201118911128901, -0.1649440111572908, -0.07313099144153414, 0.06619636923762243, 0.06521988033130521, -0.25442899127383545, -0.007940512879493192, 0.14195705579437745, 0.09282302999556923, -0.007467737894368733, -0.07764371856498527, -0.07735214294214778, 0.11707933029130647, -0.029573260995447246, 0.05911216703767727, 0.10777847902088655, -0.0495354805541827, -0.10313727245276004, 0.38538817304347434, -0.08310715461342415, -0.25039344092255644, 0.20720547972812625, -0.2010793741426738, -0.17012342285969495, 0.11853397850932174, 0.13043514930985073, 0.12889867886310902, -0.12835084763477453, 0.16544621629294262, -0.11832564263190118, 0.11004005863053325, 0.08005007570341269, 0.0008811290898233535, 0.16530938902918582, 0.11200968932765122, 0.13933601027471318, 0.18734704916601932, 0.04475249058484095, -0.009528452152610604, -0.3683186239948135, -0.10875269908324513, -0.16499256375379842, 0.06756011768695545, -0.1264972740230248, -0.2613546648818551, 0.44072073736076894, 0.12029331322717944, 0.18708356873361462, 0.04991015074262639, 0.22462828367758367, 0.09615525408390134, 0.0470013090199669, 0.13363246937375028, 0.10564316657532728, 0.15842960472218692, -0.05196531599202237, -0.1492626438946195, 0.03926159411483488, 0.13054362635019404] |
708.3188 | Strong wavefront lemma and counting lattice points in sectors | We compute the asymptotics of the number of integral quadratic forms with
prescribed orthogonal decompositions and, more generally, the asymptotics of
the number of lattice points lying in sectors of affine symmetric spaces. A new
key ingredient in this article is the strong wavefront lemma, which shows that
the generalized Cartan decomposition associated to a symmetric space is
uniformly Lipschitz.
| math.NT math.GR | we compute the asymptotics of the number of integral quadratic forms with prescribed orthogonal decompositions and more generally the asymptotics of the number of lattice points lying in sectors of affine symmetric spaces a new key ingredient in this article is the strong wavefront lemma which shows that the generalized cartan decomposition associated to a symmetric space is uniformly lipschitz | [['we', 'compute', 'the', 'asymptotics', 'of', 'the', 'number', 'of', 'integral', 'quadratic', 'forms', 'with', 'prescribed', 'orthogonal', 'decompositions', 'and', 'more', 'generally', 'the', 'asymptotics', 'of', 'the', 'number', 'of', 'lattice', 'points', 'lying', 'in', 'sectors', 'of', 'affine', 'symmetric', 'spaces', 'a', 'new', 'key', 'ingredient', 'in', 'this', 'article', 'is', 'the', 'strong', 'wavefront', 'lemma', 'which', 'shows', 'that', 'the', 'generalized', 'cartan', 'decomposition', 'associated', 'to', 'a', 'symmetric', 'space', 'is', 'uniformly', 'lipschitz']] | [-0.19016487904785512, 0.10498527612847587, -0.10398772866853202, 0.045286708210672565, -0.11512778652831912, -0.08739096469556291, -0.009392073067526022, 0.3069050974833469, -0.2995657178107649, -0.17722295575464767, 0.1263385041888493, -0.22446876734417553, -0.17681785778452952, 0.17120720529928804, -0.09448426539699237, 0.04175339577098688, 0.01619725243654102, 0.0634745710917438, -0.12579013586898025, -0.2520873076088416, 0.3960965226093928, -0.02590678939789844, 0.264786975334088, 0.01212863934536775, 0.11144612252246588, 0.02772528852025668, -0.06030040859089544, -0.016214826431920907, -0.13004374543343147, 0.2155261201861625, 0.267168769837978, 0.04359706624721487, 0.26811350639909504, -0.3526963279272119, -0.11141623311365643, 0.20093915150500835, 0.13543181276569763, 0.045139481955751154, -0.03069053805011208, -0.23624652144499123, 0.0718166183156427, -0.10772477009644112, -0.24493268881924452, -0.058005699220423895, 0.00024053608843435843, 0.04691146897772948, -0.2887705951463431, 0.041037236844810344, 0.10361082083545625, 0.05051705754982928, -0.06556138562348982, -0.11953931639436632, -0.035544039720358946, 0.07742901494105657, 0.025011405053858956, 0.06288928387997052, 0.028759534532825152, -0.09124617570002252, -0.09198865151653687, 0.3714104758575559, -0.03996740337461233, -0.25896306682843717, 0.11142431953921914, -0.18711979657722017, -0.15067238989286125, 0.13501450247131289, 0.16688114358112216, 0.13815215760841965, -0.06773548214696348, 0.15788979759187594, -0.11450181598775089, 0.07250393105593199, 0.11341149723157287, 0.050566862282964094, 0.12298954762518406, 0.03944791117683053, 0.1520112546471258, 0.1764567464279632, -0.0314030671036259, -0.1420387033247001, -0.38142313457404575, -0.18333216958368817, -0.19162466605581965, 0.0860418848208307, -0.15541109819872265, -0.2622660931199789, 0.40945176772462827, 0.03637347422384967, 0.17785098970246813, 0.09397559322145146, 0.23730375599116088, 0.10035127501469106, 0.06128884693607688, 0.08923532160309454, 0.15211781936620053, 0.2279486211637656, 0.01877618571743369, -0.16699267420141647, -0.004725739336572587, 0.18727414312306792] |
708.3189 | Beauty in the Standard Model and Beyond | The study of CP violation in the B system allows us to perform quantitative
tests of the CP symmetry in the Standard Model. Many precise measurements of
the sides and angles of the Unitarity Triangle used to test the theory are made
possible by the abundant experimental data accumulated at the B factories and
the Tevatron. I review the Standard Model description of CP violation and the
key measurements which allow us to use CP violation studies as a probe for New
Physics.
| hep-ex | the study of cp violation in the b system allows us to perform quantitative tests of the cp symmetry in the standard model many precise measurements of the sides and angles of the unitarity triangle used to test the theory are made possible by the abundant experimental data accumulated at the b factories and the tevatron i review the standard model description of cp violation and the key measurements which allow us to use cp violation studies as a probe for new physics | [['the', 'study', 'of', 'cp', 'violation', 'in', 'the', 'b', 'system', 'allows', 'us', 'to', 'perform', 'quantitative', 'tests', 'of', 'the', 'cp', 'symmetry', 'in', 'the', 'standard', 'model', 'many', 'precise', 'measurements', 'of', 'the', 'sides', 'and', 'angles', 'of', 'the', 'unitarity', 'triangle', 'used', 'to', 'test', 'the', 'theory', 'are', 'made', 'possible', 'by', 'the', 'abundant', 'experimental', 'data', 'accumulated', 'at', 'the', 'b', 'factories', 'and', 'the', 'tevatron', 'i', 'review', 'the', 'standard', 'model', 'description', 'of', 'cp', 'violation', 'and', 'the', 'key', 'measurements', 'which', 'allow', 'us', 'to', 'use', 'cp', 'violation', 'studies', 'as', 'a', 'probe', 'for', 'new', 'physics']] | [-0.08167214845363276, 0.09970967016598008, -0.07042272058483887, 0.07171060860785375, -0.09511163020618708, -0.19478445942794165, 0.13050286020629154, 0.23500802630491285, -0.2546914172280266, -0.3300988627485482, 0.08512944868114967, -0.29562958599512146, -0.03066819005208202, 0.1773049357594047, 0.0458815646279289, 0.11983342422733465, 0.0510856927518385, -0.012376530292298061, -0.10390850884842698, -0.18084157184215197, 0.21989164282062865, 0.06486130561904017, 0.29283447000366375, 0.08660146357850676, 0.008246118170545852, 0.004022203046402119, -0.09170533630278814, 0.00378648412739297, -0.160863310945815, 0.12386442448225725, 0.17020003730115615, 0.20342664276698538, 0.11666047065911522, -0.4427606732954821, -0.10997991979750524, 0.13943441845027796, 0.06498168457891365, 0.10824093666819698, -0.05619116645889828, -0.3266092102458499, 0.023187208157705974, -0.13430672186056533, -0.1554915844462812, -0.12332381132473967, -0.015465833078396607, -0.08281347705668445, -0.33486700432195543, 0.07579169246783278, -0.024478713336613882, 0.06249470492622938, 0.056857990173213406, -0.1243438323642722, 0.034837211914225875, 0.14017143952015068, 0.11282924075431404, 0.003969618632648903, 0.09528423628786646, -0.12603826575115862, -0.1570889363065362, 0.4520298911550318, -0.04449305695506845, -0.1495294456134539, 0.21295031603335976, -0.23623697697016668, -0.18233876074495983, 0.06050299769491855, 0.1966149745486587, 0.06660695115934653, -0.18709884410028357, 0.10309472679881469, -0.07886279443368675, 0.12682653038975705, 0.02991653788632837, 0.046470825481845675, 0.2284830934536385, 0.1561300561774567, 0.0526138408865544, 0.05119828498327589, -0.12186590383244476, -0.07845075920025021, -0.4202106126741203, -0.18389155934508666, -0.08763365299407258, 0.009816588575850767, -0.04578269163587731, -0.06785670321726475, 0.4080741240766393, 0.17961509507822704, 0.19191282606088972, -0.027016482920475662, 0.2934078162715557, 0.018561164967726963, 0.09408766635643116, -0.03547224295830511, 0.32188590127323946, 0.1759718153990401, 0.13576386012810182, -0.2700711811657052, 0.07382723278399692, 0.013478724019467292] |
708.319 | Detecting Infinitely Many Semisimple Representations in a Fixed Finite
Dimension | Let $n$ be a positive integer, and let $k$ be a field (of arbitrary
characteristic) accessible to symbolic computation. We describe an algorithmic
test for determining whether or not a finitely presented $k$-algebra $R$ has
infinitely many equivalence classes of semisimple representations $R \to
M_n(k')$, where $k'$ is the algebraic closure of $k$. The test reduces the
problem to computational commutative algebra over $k$, via famous results of
Artin, Procesi, and Shirshov. The test is illustrated by explicit examples,
with $n = 3$.
| math.RA math.AC | let n be a positive integer and let k be a field of arbitrary characteristic accessible to symbolic computation we describe an algorithmic test for determining whether or not a finitely presented kalgebra r has infinitely many equivalence classes of semisimple representations r to m_nk where k is the algebraic closure of k the test reduces the problem to computational commutative algebra over k via famous results of artin procesi and shirshov the test is illustrated by explicit examples with n 3 | [['let', 'n', 'be', 'a', 'positive', 'integer', 'and', 'let', 'k', 'be', 'a', 'field', 'of', 'arbitrary', 'characteristic', 'accessible', 'to', 'symbolic', 'computation', 'we', 'describe', 'an', 'algorithmic', 'test', 'for', 'determining', 'whether', 'or', 'not', 'a', 'finitely', 'presented', 'kalgebra', 'r', 'has', 'infinitely', 'many', 'equivalence', 'classes', 'of', 'semisimple', 'representations', 'r', 'to', 'm_nk', 'where', 'k', 'is', 'the', 'algebraic', 'closure', 'of', 'k', 'the', 'test', 'reduces', 'the', 'problem', 'to', 'computational', 'commutative', 'algebra', 'over', 'k', 'via', 'famous', 'results', 'of', 'artin', 'procesi', 'and', 'shirshov', 'the', 'test', 'is', 'illustrated', 'by', 'explicit', 'examples', 'with', 'n', '3']] | [-0.1875338910669997, 0.08788972257273754, -0.0869414248935333, 0.011211070780097166, -0.10900938748836336, -0.25722938703895526, -0.03998805369568489, 0.29843048401540373, -0.34438416529901145, -0.27073793035432153, 0.0871235634393354, -0.2405890141011829, -0.08222793359820527, 0.2361616151515258, -0.07089563635733012, -0.03488203032487413, 0.029559686358635835, 0.14173098713750157, -0.06607575606691038, -0.33746480145037355, 0.31771945950529745, -0.026240626616948624, 0.14855315076845993, 0.04574300923452872, 0.10397101009673462, 0.007090907560934018, -0.013128982976124418, 0.046661597778793515, -0.15639039794857637, 0.09331926886168332, 0.41486981220361663, 0.14271445199279342, 0.27050341212860785, -0.3480813276794989, -0.11289726081872131, 0.22201300167944282, 0.19199199582699958, -0.019418431400525862, 0.014982661783195487, -0.2553507615698547, 0.19937128090958406, -0.16953841929619268, -0.11927388286467915, -0.10598195566250602, 0.16547191347046641, -0.03719695691564461, -0.32414737617222183, -0.0569797965368574, 0.10949819932532746, 0.2051696184477428, -0.0117006096080309, -0.14282551197556598, 0.007786978785766334, 0.04883746901333968, -0.0473941584719663, 0.03958661609652975, 0.0783504504176629, -0.04164670246494252, -0.15702158660150883, 0.3644856770591038, -0.04298275612612686, -0.21838085261377982, 0.14188943430639395, -0.15113031496748147, -0.09345364885222984, 0.14210819434828875, 0.08728378317773161, 0.15131950649296547, -0.013476516983312805, 0.27429420101064506, -0.16930390466231762, 0.10850135315771828, 0.08287745110815527, -0.0819559770454539, 0.13840993321159992, 0.06729198005277573, 0.02509507281271309, 0.16184880721905245, 0.0775778620026824, 0.019803669229831275, -0.34404987432971235, -0.18028628824437717, -0.1776709170591813, 0.1742716721266511, -0.13019449360883034, -0.1384285619346107, 0.3704862144389531, 0.10301889333783126, 0.14660856276523412, 0.12489362075788582, 0.2278989413696364, 0.06138159125395937, 0.023645724896795867, 0.09892122729158984, 0.016939911644951237, 0.2508517545676313, -0.07013341117360652, -0.17511935990300914, -0.0007334781935574805, 0.17712865919215467] |
708.3191 | Cohomology and Support Varieties for Lie Superalgebras II | In \cite{BKN} the authors initiated a study of the representation theory of
classical Lie superalgebras via a cohomological approach. Detecting subalgebras
were constructed and a theory of support varieties was developed. The dimension
of a detecting subalgebra coincides with the defect of the Lie superalgebra and
the dimension of the support variety for a simple supermodule was conjectured
to equal the atypicality of the supermodule. In this paper the authors compute
the support varieties for Kac supermodules for Type I Lie superalgebras and the
simple supermodules for $\mathfrak{gl}(m|n)$. The latter result verifies our
earlier conjecture for $\mathfrak{gl}(m|n)$. In our investigation we also
delineate several of the major differences between Type I versus Type II
classical Lie superalgebras. Finally, the connection between atypicality,
defect and superdimension is made more precise by using the theory of support
varieties and representations of Clifford superalgebras.
| math.RT | in citebkn the authors initiated a study of the representation theory of classical lie superalgebras via a cohomological approach detecting subalgebras were constructed and a theory of support varieties was developed the dimension of a detecting subalgebra coincides with the defect of the lie superalgebra and the dimension of the support variety for a simple supermodule was conjectured to equal the atypicality of the supermodule in this paper the authors compute the support varieties for kac supermodules for type i lie superalgebras and the simple supermodules for mathfrakglmn the latter result verifies our earlier conjecture for mathfrakglmn in our investigation we also delineate several of the major differences between type i versus type ii classical lie superalgebras finally the connection between atypicality defect and superdimension is made more precise by using the theory of support varieties and representations of clifford superalgebras | [['in', 'citebkn', 'the', 'authors', 'initiated', 'a', 'study', 'of', 'the', 'representation', 'theory', 'of', 'classical', 'lie', 'superalgebras', 'via', 'a', 'cohomological', 'approach', 'detecting', 'subalgebras', 'were', 'constructed', 'and', 'a', 'theory', 'of', 'support', 'varieties', 'was', 'developed', 'the', 'dimension', 'of', 'a', 'detecting', 'subalgebra', 'coincides', 'with', 'the', 'defect', 'of', 'the', 'lie', 'superalgebra', 'and', 'the', 'dimension', 'of', 'the', 'support', 'variety', 'for', 'a', 'simple', 'supermodule', 'was', 'conjectured', 'to', 'equal', 'the', 'atypicality', 'of', 'the', 'supermodule', 'in', 'this', 'paper', 'the', 'authors', 'compute', 'the', 'support', 'varieties', 'for', 'kac', 'supermodules', 'for', 'type', 'i', 'lie', 'superalgebras', 'and', 'the', 'simple', 'supermodules', 'for', 'mathfrakglmn', 'the', 'latter', 'result', 'verifies', 'our', 'earlier', 'conjecture', 'for', 'mathfrakglmn', 'in', 'our', 'investigation', 'we', 'also', 'delineate', 'several', 'of', 'the', 'major', 'differences', 'between', 'type', 'i', 'versus', 'type', 'ii', 'classical', 'lie', 'superalgebras', 'finally', 'the', 'connection', 'between', 'atypicality', 'defect', 'and', 'superdimension', 'is', 'made', 'more', 'precise', 'by', 'using', 'the', 'theory', 'of', 'support', 'varieties', 'and', 'representations', 'of', 'clifford', 'superalgebras']] | [-0.13588806831726938, 0.021881003055854567, -0.06525387302307147, 0.05608669419639877, -0.11994091898335942, -0.15101850083031293, 0.004151223947493625, 0.3152788800054363, -0.24169940432600145, -0.21659700827939168, 0.10826224106879506, -0.20798049740593083, -0.19274278124794364, 0.20012160206679255, -0.11414602998411283, -0.06733437777896012, 0.02181277018971741, 0.11119406736688689, -0.10833168378365891, -0.29275167104122896, 0.4176149301796353, 0.021339231124147772, 0.2679284879937768, 0.026830548497049935, 0.09258305728684978, 0.0322776446451566, -0.03474491433839181, -0.035883628889652235, -0.12570829229495886, 0.1891930249897996, 0.29749105056627223, 0.08237200311185526, 0.19346864594512486, -0.3605312262927847, -0.1384080635666448, 0.14014339047550622, 0.15039637593685518, 0.07578260511093374, -0.024021170569903917, -0.2886971252039075, 0.10649563734353121, -0.22683423916460016, -0.1984863816926788, -0.035474022225077666, 0.07117827583902649, -0.036189953611964094, -0.21268902707711926, 0.039345185862579714, 0.0990266332419456, 0.1739954565302469, -0.12466267220942037, -0.11208746655278706, -0.02436176489572972, 0.08926975459824982, -0.05739837547797444, -0.0027844069775060883, 0.08117664489296399, -0.10895217699830287, -0.21342767024678844, 0.32821522788144647, 0.028507648442921762, -0.18287031130166725, 0.18387134154327214, -0.1544494606288416, -0.18217468672831144, 0.0637614787622754, 0.048014227214402384, 0.12150746728626213, -0.06837099607634757, 0.16839107146411803, -0.100084037533296, -0.004224817179575829, 0.09495265525100487, -0.04454297559734966, 0.13239923949752536, 0.12832167242387577, -0.029011100018396973, 0.10775355252304247, 0.011351095106718796, -0.015563492852795338, -0.36987678749885944, -0.24279317363231842, -0.11091698616842872, 0.09868488927770938, -0.09001702724105728, -0.12236109735510711, 0.43641565966286827, 0.11979239291228753, 0.17361219340403164, 0.12972161867655813, 0.15887045049291504, 0.07557837326977668, 0.1088646870638643, 0.04975315189055566, 0.1890049284590142, 0.30678670565664234, 0.010295506965901171, -0.15717434178347633, -0.05011370891006663, 0.20294419618190399] |
708.3192 | Uniformly perfect analytic and conformal attractor sets | Conditions are given which imply that analytic iterated function systems
(IFS's) in the complex plane have uniformly perfect attractor sets. In
particular, it is shown that the attractor set of a finitely generated
conformal IFS is uniformly perfect when it contains two or more points. Also,
an example of a finitely generated analytic attractor set which is not
uniformly perfect is given.
| math.DS math.CV | conditions are given which imply that analytic iterated function systems ifss in the complex plane have uniformly perfect attractor sets in particular it is shown that the attractor set of a finitely generated conformal ifs is uniformly perfect when it contains two or more points also an example of a finitely generated analytic attractor set which is not uniformly perfect is given | [['conditions', 'are', 'given', 'which', 'imply', 'that', 'analytic', 'iterated', 'function', 'systems', 'ifss', 'in', 'the', 'complex', 'plane', 'have', 'uniformly', 'perfect', 'attractor', 'sets', 'in', 'particular', 'it', 'is', 'shown', 'that', 'the', 'attractor', 'set', 'of', 'a', 'finitely', 'generated', 'conformal', 'ifs', 'is', 'uniformly', 'perfect', 'when', 'it', 'contains', 'two', 'or', 'more', 'points', 'also', 'an', 'example', 'of', 'a', 'finitely', 'generated', 'analytic', 'attractor', 'set', 'which', 'is', 'not', 'uniformly', 'perfect', 'is', 'given']] | [-0.17129080702603283, 0.13508981770968193, -0.12043852283949813, 0.043683723794416554, -0.05620743261815439, -0.14392341644458112, -0.06623782839385732, 0.37225473515929713, -0.2869761243702904, -0.1450299625660503, 0.13138560206824612, -0.3070545308291912, -0.18999897452792333, 0.256605907670042, -0.0700738897787467, 0.07116145615075384, 0.09269189187175324, 0.11730117525064176, 0.050052795386422544, -0.3349102954230001, 0.37849601442294734, -0.07019756238667234, 0.23289117353758024, -0.026599322212859988, 0.14298535001674487, -0.0585407218144786, 0.009803814084960087, 0.09804770974592576, -0.11002042140898993, 0.030077377574578408, 0.2600657465030259, 0.1452541460974082, 0.2525331217555269, -0.34296098724007607, -0.19774124164494775, 0.23618159799145594, 0.13371025268439082, 0.05401873577671546, -0.09340524370899432, -0.23514986404728505, 0.19834141246223402, -0.11062763721659599, -0.1763702632123304, -0.0628928089619524, 0.0769723296510957, 0.07109169072411474, -0.33208104313891984, -0.030793349863679688, 0.14354028138181857, 0.0999100252745613, -0.057430139224555705, 0.00486304130285017, -0.11514095581256814, 0.10830166447211072, -0.02991994462847229, 0.09628839566439931, 0.10034761293941448, -0.06251325347458929, -0.07245889322591885, 0.36188708332877967, -0.020694785447220407, -0.31027380877264565, 0.2007389995119264, -0.19082990121997653, -0.10799553439832263, 0.17220050880625362, 0.044953684945921266, 0.1381694309398412, -0.16134288762588123, 0.2002419275081446, -0.18139925052321726, 0.1587419521604334, 0.12098156712618807, 0.012185627143950231, 0.2025359880870148, 0.07255371038862053, 0.1587373298450163, 0.1525994402867171, 0.09558286843821406, -0.12427859239640736, -0.35746709257364273, -0.07089429519950383, -0.21803888204815466, 0.119144530700484, -0.12292287994416491, -0.2943904045382477, 0.35989087982283485, 0.0724716457308762, 0.2014897432959368, 0.036435726399142894, 0.26331084499496127, 0.12839664892535732, -0.0010684399054415763, 0.12319499356371741, 0.16046587397807255, 0.07427734617639574, -0.029846825946738282, -0.054686502403309266, 0.023608188325118636, 0.12691504156757746] |
708.3193 | Discrete rearranging disordered patterns, part I: Robust statistical
tools in two or three dimensions | Discrete rearranging patterns include cellular patterns, for instance liquid
foams, biological tissues, grains in polycrystals; assemblies of particles such
as beads, granular materials, colloids, molecules, atoms; and interconnected
networks. Such a pattern can be described as a list of links between
neighbouring sites. Performing statistics on the links between neighbouring
sites yields average quantities (hereafter "tools") as the result of direct
measurements on images. These descriptive tools are flexible and suitable for
various problems where quantitative measurements are required, whether in two
or in three dimensions. Here, we present a coherent set of robust tools, in
three steps. First, we revisit the definitions of three existing tools based on
the texture matrix. Second, thanks to their more general definition, we embed
these three tools in a self-consistent formalism, which includes three
additional ones. Third, we show that the six tools together provide a direct
correspondence between a small scale, where they quantify the discrete
pattern's local distortion and rearrangements, and a large scale, where they
help describe a material as a continuous medium. This enables to formulate
elastic, plastic, fluid behaviours in a common, self-consistent modelling using
continuous mechanics. Experiments, simulations and models can be expressed in
the same language and directly compared. As an example, a companion paper
(Marmottant, Raufaste and Graner, joint paper) provides an application to foam
plasticity.
| cond-mat.soft | discrete rearranging patterns include cellular patterns for instance liquid foams biological tissues grains in polycrystals assemblies of particles such as beads granular materials colloids molecules atoms and interconnected networks such a pattern can be described as a list of links between neighbouring sites performing statistics on the links between neighbouring sites yields average quantities hereafter tools as the result of direct measurements on images these descriptive tools are flexible and suitable for various problems where quantitative measurements are required whether in two or in three dimensions here we present a coherent set of robust tools in three steps first we revisit the definitions of three existing tools based on the texture matrix second thanks to their more general definition we embed these three tools in a selfconsistent formalism which includes three additional ones third we show that the six tools together provide a direct correspondence between a small scale where they quantify the discrete patterns local distortion and rearrangements and a large scale where they help describe a material as a continuous medium this enables to formulate elastic plastic fluid behaviours in a common selfconsistent modelling using continuous mechanics experiments simulations and models can be expressed in the same language and directly compared as an example a companion paper marmottant raufaste and graner joint paper provides an application to foam plasticity | [['discrete', 'rearranging', 'patterns', 'include', 'cellular', 'patterns', 'for', 'instance', 'liquid', 'foams', 'biological', 'tissues', 'grains', 'in', 'polycrystals', 'assemblies', 'of', 'particles', 'such', 'as', 'beads', 'granular', 'materials', 'colloids', 'molecules', 'atoms', 'and', 'interconnected', 'networks', 'such', 'a', 'pattern', 'can', 'be', 'described', 'as', 'a', 'list', 'of', 'links', 'between', 'neighbouring', 'sites', 'performing', 'statistics', 'on', 'the', 'links', 'between', 'neighbouring', 'sites', 'yields', 'average', 'quantities', 'hereafter', 'tools', 'as', 'the', 'result', 'of', 'direct', 'measurements', 'on', 'images', 'these', 'descriptive', 'tools', 'are', 'flexible', 'and', 'suitable', 'for', 'various', 'problems', 'where', 'quantitative', 'measurements', 'are', 'required', 'whether', 'in', 'two', 'or', 'in', 'three', 'dimensions', 'here', 'we', 'present', 'a', 'coherent', 'set', 'of', 'robust', 'tools', 'in', 'three', 'steps', 'first', 'we', 'revisit', 'the', 'definitions', 'of', 'three', 'existing', 'tools', 'based', 'on', 'the', 'texture', 'matrix', 'second', 'thanks', 'to', 'their', 'more', 'general', 'definition', 'we', 'embed', 'these', 'three', 'tools', 'in', 'a', 'selfconsistent', 'formalism', 'which', 'includes', 'three', 'additional', 'ones', 'third', 'we', 'show', 'that', 'the', 'six', 'tools', 'together', 'provide', 'a', 'direct', 'correspondence', 'between', 'a', 'small', 'scale', 'where', 'they', 'quantify', 'the', 'discrete', 'patterns', 'local', 'distortion', 'and', 'rearrangements', 'and', 'a', 'large', 'scale', 'where', 'they', 'help', 'describe', 'a', 'material', 'as', 'a', 'continuous', 'medium', 'this', 'enables', 'to', 'formulate', 'elastic', 'plastic', 'fluid', 'behaviours', 'in', 'a', 'common', 'selfconsistent', 'modelling', 'using', 'continuous', 'mechanics', 'experiments', 'simulations', 'and', 'models', 'can', 'be', 'expressed', 'in', 'the', 'same', 'language', 'and', 'directly', 'compared', 'as', 'an', 'example', 'a', 'companion', 'paper', 'marmottant', 'raufaste', 'and', 'graner', 'joint', 'paper', 'provides', 'an', 'application', 'to', 'foam', 'plasticity']] | [-0.10058114101411775, 0.1387579464632644, -0.07868408251109474, 0.08364139932342335, -0.057949043880857594, -0.12875223500278155, 0.03785465192904166, 0.38488824508759545, -0.27375311437361965, -0.3026313299672046, 0.08611831390469787, -0.2792731012503933, -0.1917309817391311, 0.17992889822071947, -0.03978474707547746, 0.04741797407388414, 0.04248407319692228, -0.02251185184446646, -0.051524343799453635, -0.18543636838162164, 0.26985615277406544, 0.013627160447350609, 0.28343877913814824, 0.024542955854435562, 0.09413850714597817, 0.0058977735429626265, -0.06464915715345959, 0.0666397238783581, -0.14349750728417032, 0.1313255137360469, 0.2813661600793147, 0.09004687583031253, 0.23712453102573341, -0.5171075573344843, -0.23212412640413935, 0.07915853355891593, 0.135811217689813, 0.12766626124097238, -0.029587206295961108, -0.246358688348272, 0.04926969471746424, -0.16138562982167126, -0.09566075552400168, -0.10505307574410401, -0.011718208899448088, 0.054869377574805436, -0.26040943246708603, 0.06165712964058845, 0.053022846936273876, 0.08774558515683108, -0.05959183476366521, -0.07014784472941105, 0.015360454911763412, 0.1645455978732821, 0.011884747113639472, -0.024853134684802946, 0.16514157851380423, -0.11815516540349179, -0.13321332200088565, 0.4212026603246501, -0.024111998463989398, -0.23127999285411158, 0.2537194383106357, -0.07472583067970812, -0.1658707537619961, 0.09766884520756713, 0.19303748605200388, 0.11350634760958134, -0.19731856521043858, 0.004691781132534593, -0.044301222982589976, 0.18038926109962097, 0.057118743702923074, 0.03022288200963468, 0.2258806795986164, 0.18519856587026712, 0.024821810522586654, 0.1442974747229077, -0.06900025745255685, -0.08151076488205394, -0.2771770522434162, -0.17415759666520664, -0.16365446843134257, -0.0012829973823775393, -0.10445617587945623, -0.1718149805946677, 0.3595282105182152, 0.10311561236969717, 0.20605820178378956, 0.0393760942810198, 0.27409488748365995, 0.012415200580883912, 0.06378722828471127, 0.0035521843317904674, 0.1854340418096666, 0.12559231937598062, 0.10047806998492655, -0.12987333373393578, 0.04785049648383, 0.05922044288589183] |
708.3194 | Comment on Experiments Related to the Aharonov-Bohm Phase Shift | Recent experiments undertaken by Caprez, Barwick, and Batelaan should clarify
the connections between classical and quantum theories in connection with the
Aharonov-Bohm phase shift. It is pointed out that resistive aspects for the
solenoid current carriers play a role in the classical but not the quantum
analysis for the phase shift. The observed absence of a classical lag effect
for a macroscopic solenoid does not yet rule out the possibility of a lag
explanation of the observed phase shift for a microscopic solenoid.
| physics.class-ph physics.gen-ph | recent experiments undertaken by caprez barwick and batelaan should clarify the connections between classical and quantum theories in connection with the aharonovbohm phase shift it is pointed out that resistive aspects for the solenoid current carriers play a role in the classical but not the quantum analysis for the phase shift the observed absence of a classical lag effect for a macroscopic solenoid does not yet rule out the possibility of a lag explanation of the observed phase shift for a microscopic solenoid | [['recent', 'experiments', 'undertaken', 'by', 'caprez', 'barwick', 'and', 'batelaan', 'should', 'clarify', 'the', 'connections', 'between', 'classical', 'and', 'quantum', 'theories', 'in', 'connection', 'with', 'the', 'aharonovbohm', 'phase', 'shift', 'it', 'is', 'pointed', 'out', 'that', 'resistive', 'aspects', 'for', 'the', 'solenoid', 'current', 'carriers', 'play', 'a', 'role', 'in', 'the', 'classical', 'but', 'not', 'the', 'quantum', 'analysis', 'for', 'the', 'phase', 'shift', 'the', 'observed', 'absence', 'of', 'a', 'classical', 'lag', 'effect', 'for', 'a', 'macroscopic', 'solenoid', 'does', 'not', 'yet', 'rule', 'out', 'the', 'possibility', 'of', 'a', 'lag', 'explanation', 'of', 'the', 'observed', 'phase', 'shift', 'for', 'a', 'microscopic', 'solenoid']] | [-0.16717773850120785, 0.17871558628078685, -0.1257087345493127, 0.10149768257165799, -0.07363888812083078, -0.12873619630461536, 0.1063672547475491, 0.34436830707702293, -0.21637613328555264, -0.2755256568990558, 0.05466258960792862, -0.25744410994720746, -0.17120738910982408, 0.21414243985326534, -0.019625201933534748, 0.009904429849506501, 0.025141996118318605, 0.021632276812052154, -0.09257891607829874, -0.15679937092789326, 0.2775880947978382, 0.09523457070217883, 0.3041470470467964, 0.06071159024770212, 0.07504609079767827, -0.008274807970611805, -0.03767782639353031, 0.05858882219272565, -0.0818300133221958, -0.005064216981002365, 0.25362060340233594, 0.004721594317984509, 0.226353258623865, -0.43903599255325565, -0.24368994079350706, 0.13527228365685925, 0.08659187829436128, 0.08723605747323439, -0.07399462157837956, -0.28940888186804503, 0.01948773537212646, -0.1417050901071045, -0.12399168678416299, -0.05300676719431417, 0.06547982178078628, -0.04875775326901755, -0.17423561921186118, 0.05844755412404796, 0.1394708747526698, 0.08897723531328051, -0.031762403343433894, -0.057972039432680034, 0.0596503920303321, 0.09854784868208759, 0.029991751320727438, 0.06427477302972272, 0.13760678774217167, -0.10000880235940757, -0.1600916689172028, 0.35733043620116023, -0.013335348264011273, -0.13212226857487336, 0.1326800879085414, -0.18178364274888692, -0.0994651528322194, 0.09183494470654482, 0.03829139097402972, 0.04425950857238418, -0.1060501579195261, 0.06844737521984266, -0.01708459860858429, 0.16800327154145722, 0.024049683737691986, 0.05396362715569067, 0.30955758134977185, 0.13875511037297997, 0.0321350652746946, 0.10973870861189754, -0.0959632046386061, -0.19188610540074577, -0.36758461343236715, -0.1772484873612243, -0.12701171824809568, 0.07815609800458201, 0.01164894126929309, -0.1552715234525771, 0.34401464677718746, 0.12427256458946671, 0.18236888369478016, -0.032594199421400405, 0.27233158880620295, 0.07825167241495058, 0.09746600776147771, 0.007260739410587822, 0.32280790787863445, 0.19065541285090148, 0.17552519617153398, -0.2951520735072533, 0.060000381035539486, 0.07470586158739156] |
708.3195 | Ignition latitude and the shape of Type I X-ray bursts | The shape of the lightcurve during the rising phase of Type I X-ray bursts is
determined by many factors including the ignition latitude, the accretion rate,
and the rotation rate of the star. We develop a phenomenological model of the
burst rise process and show that simple measures of the burst morphology can be
robust diagnostics of ignition latitude and burning regime. We apply our
results to the large sample of bursts from the Low Mass X-ray Binary 4U
1636-536, and find evidence for off-equatorial ignition for many of the bursts.
We argue that such behaviour may be associated with the transition from
hydrogen to helium ignition at accretion rates a few percent of Eddington. We
show that this model can also explain variations in the detectability of burst
oscillations, and discuss the implications for other burst sources.
| astro-ph | the shape of the lightcurve during the rising phase of type i xray bursts is determined by many factors including the ignition latitude the accretion rate and the rotation rate of the star we develop a phenomenological model of the burst rise process and show that simple measures of the burst morphology can be robust diagnostics of ignition latitude and burning regime we apply our results to the large sample of bursts from the low mass xray binary 4u 1636536 and find evidence for offequatorial ignition for many of the bursts we argue that such behaviour may be associated with the transition from hydrogen to helium ignition at accretion rates a few percent of eddington we show that this model can also explain variations in the detectability of burst oscillations and discuss the implications for other burst sources | [['the', 'shape', 'of', 'the', 'lightcurve', 'during', 'the', 'rising', 'phase', 'of', 'type', 'i', 'xray', 'bursts', 'is', 'determined', 'by', 'many', 'factors', 'including', 'the', 'ignition', 'latitude', 'the', 'accretion', 'rate', 'and', 'the', 'rotation', 'rate', 'of', 'the', 'star', 'we', 'develop', 'a', 'phenomenological', 'model', 'of', 'the', 'burst', 'rise', 'process', 'and', 'show', 'that', 'simple', 'measures', 'of', 'the', 'burst', 'morphology', 'can', 'be', 'robust', 'diagnostics', 'of', 'ignition', 'latitude', 'and', 'burning', 'regime', 'we', 'apply', 'our', 'results', 'to', 'the', 'large', 'sample', 'of', 'bursts', 'from', 'the', 'low', 'mass', 'xray', 'binary', '4u', '1636536', 'and', 'find', 'evidence', 'for', 'offequatorial', 'ignition', 'for', 'many', 'of', 'the', 'bursts', 'we', 'argue', 'that', 'such', 'behaviour', 'may', 'be', 'associated', 'with', 'the', 'transition', 'from', 'hydrogen', 'to', 'helium', 'ignition', 'at', 'accretion', 'rates', 'a', 'few', 'percent', 'of', 'eddington', 'we', 'show', 'that', 'this', 'model', 'can', 'also', 'explain', 'variations', 'in', 'the', 'detectability', 'of', 'burst', 'oscillations', 'and', 'discuss', 'the', 'implications', 'for', 'other', 'burst', 'sources']] | [-0.055501600457490356, 0.17976187850159686, -0.042089422715935805, 0.12912571536716036, -0.059125173922992595, -0.09180818975268715, 0.10062804896438467, 0.42123199696990027, -0.21908476932541185, -0.3062504652813347, 0.11138882727844748, -0.28313341651759716, -0.08203748676359006, 0.26929568915384944, -0.05862916917945056, -0.013921219761064951, 0.08207059165368369, -0.027063060615994575, -0.08395263810719673, -0.20346453183320473, 0.3071218896876562, 0.09875882802990035, 0.21601558047805683, 0.028465961696634044, 0.05611293680925408, -0.11837615505994661, -0.034202010004673204, -0.05526395837870845, -0.13404944201808405, 0.0005766915906544613, 0.21357853054676368, 0.1558318400343853, 0.17276582246025404, -0.41036669385552604, -0.27500381002850505, 0.07925352074907742, 0.14607923125436503, 0.07419960097193826, -0.09080600379493789, -0.21639018996358864, 0.037009326565632786, -0.2581250365389902, -0.15204483107326255, 0.03366771692653065, 0.07260117553633408, 0.11043284221660292, -0.2430751571074074, 0.12184237356300202, 0.05943268656298734, 0.009255203263213238, -0.12666618193337775, -0.016301904808378953, -0.01071242116006982, 0.06317844996363789, 0.1108909102282875, 0.016219302799309724, 0.1545195320378179, -0.13397700942722082, -0.056335113507331065, 0.3840639185551824, -0.07277120722110207, 0.01716851366728551, 0.19977877840426736, -0.229656735215795, -0.18568291689903624, 0.17815214863883844, 0.17313319888721773, 0.09502763765445654, -0.10329146341393715, -0.05418208192555619, 0.02144666018801323, 0.19193525729781907, 0.06550083905323476, 0.02533754698284294, 0.2959964927353397, 0.1664010823275759, -0.011196062779492711, 0.10880641253923228, -0.2432435759603876, 0.003469264370969672, -0.2941840954556845, -0.07816821543256873, -0.09211889966863437, 0.08960458334616345, -0.1151058656306713, -0.14710458759910197, 0.393764627341559, 0.10933836508437694, 0.23359243104578523, 0.04721019492633101, 0.2218833295965864, 0.13720037436966473, 0.034125787496188845, 0.11634616782902267, 0.3145422344770876, 0.13200433477523157, 0.08323536100594894, -0.2782595188937325, 0.1365512418695658, 0.02527714609775854] |
708.3196 | New Global Fit to the Total Photon-Proton Cross-Section sigma L+T and to
the Structure Function F2 | A fit to world data on the photon-proton cross section sigma L+T and the
unpolarised structure function F2 is presented. The 23-parameter ALLM model
based on Reggeon and Pomeron exchange is used. Cross section data were
reconstructed to avoid inconsistencies with respect to R of the published F2
data base. Parameter uncertainties and correlations are obtained.
| hep-ph | a fit to world data on the photonproton cross section sigma lt and the unpolarised structure function f2 is presented the 23parameter allm model based on reggeon and pomeron exchange is used cross section data were reconstructed to avoid inconsistencies with respect to r of the published f2 data base parameter uncertainties and correlations are obtained | [['a', 'fit', 'to', 'world', 'data', 'on', 'the', 'photonproton', 'cross', 'section', 'sigma', 'lt', 'and', 'the', 'unpolarised', 'structure', 'function', 'f2', 'is', 'presented', 'the', '23parameter', 'allm', 'model', 'based', 'on', 'reggeon', 'and', 'pomeron', 'exchange', 'is', 'used', 'cross', 'section', 'data', 'were', 'reconstructed', 'to', 'avoid', 'inconsistencies', 'with', 'respect', 'to', 'r', 'of', 'the', 'published', 'f2', 'data', 'base', 'parameter', 'uncertainties', 'and', 'correlations', 'are', 'obtained']] | [-0.08780068201436238, 0.03536539371548728, -0.08952509493313053, 0.1640372561333193, -0.0821699886498126, -0.10859668643467806, 0.020377028733491898, 0.37505379021167756, -0.21303120528093794, -0.3163535914098082, -0.014275137419727716, -0.391171513565562, 0.006176668202335184, 0.1612867079886862, 0.03562003650109876, 0.07820703391493722, 0.08714087680828843, 0.045199578534811734, -0.01262225036255338, -0.24043988718820566, 0.33360186042687434, 0.08006744090129028, 0.24652536159211938, 0.09920906553214247, 0.0767875484931706, 0.07343736030161381, -0.12096658944025297, -0.0314906238832257, -0.15390633271837775, 0.09749229922044006, 0.2618553305425766, 0.08255572070113637, 0.042215784236958084, -0.3509787022220818, -0.11419856382364577, 0.05076420684768395, 0.09900623762302778, 0.02160501493649049, 0.07811249199492687, -0.28524280903352933, 0.0298402839763598, -0.18088825618615373, -0.08469248532571576, -0.06819113074717197, 0.02869885289533572, -0.002304442489350384, -0.3287442424906079, 0.06722751310603185, -0.07390214101919397, 0.04812714203514836, -0.04189255412837321, -0.21959623513235288, -0.09859841233966025, 0.0656762463294647, 0.06927545995832506, 0.15312839793888006, 0.15812971441244536, -0.09257634050974792, -0.09647522138601, 0.3477576629682021, -0.07084677441638301, -0.21425714264200493, 0.07143355196934532, -0.16306959432973103, -0.11168219006027688, 0.1301151969173754, 0.1959004764995453, 0.017483855470676313, -0.20235735217045822, 0.16039470122301613, 0.035745190651240676, 0.21688259291377934, 0.07114533796398477, -0.050337936813858425, 0.10378076193684882, 0.14441979872909458, -0.07472627517682585, 0.03164520307698033, -0.1721812900325114, -0.12643068956041878, -0.37654215720566836, -0.030894225107675248, -0.08571668936109, 0.014406662281941283, -0.051290260000545956, -0.10569208476015113, 0.3066668120297519, 0.06552736957303502, 0.315978413854133, 0.026867318898439407, 0.33964952308345925, 0.09021886617199264, 0.10041187688369643, 0.040510659224607726, 0.2451346523890441, 0.18427941076542168, 0.1454312523488294, -0.16682649209079417, 0.07221041756089439, 0.0005546228833157908] |
708.3197 | From Microscales to Macroscales in 3D: Selfconsistent Equation of State
for Supernova and Neutron Star Models | First results from a fully self-consistent, temperature-dependent equation of
state that spans the whole density range of neutron stars and supernova cores
are presented. The equation of state (EoS) is calculated using a mean-field
Hartree-Fock method in three dimensions (3D). The nuclear interaction is
represented by the phenomenological Skyrme model in this work, but the EoS can
be obtained in our framework for any suitable form of the nucleon-nucleon
effective interaction. The scheme we employ naturally allows effects such as
(i) neutron drip, which results in an external neutron gas, (ii) the variety of
exotic nuclear shapes expected for extremely neutron heavy nuclei, and (iii)
the subsequent dissolution of these nuclei into nuclear matter. In this way,
the equation of state is calculated across phase transitions without recourse
to interpolation techniques between density regimes described by different
physical models. EoS tables are calculated in the wide range of densities,
temperature and proton/neutron ratios on the ORNL NCCS XT3, using up to 2000
processors simultaneously.
| astro-ph nucl-th | first results from a fully selfconsistent temperaturedependent equation of state that spans the whole density range of neutron stars and supernova cores are presented the equation of state eos is calculated using a meanfield hartreefock method in three dimensions 3d the nuclear interaction is represented by the phenomenological skyrme model in this work but the eos can be obtained in our framework for any suitable form of the nucleonnucleon effective interaction the scheme we employ naturally allows effects such as i neutron drip which results in an external neutron gas ii the variety of exotic nuclear shapes expected for extremely neutron heavy nuclei and iii the subsequent dissolution of these nuclei into nuclear matter in this way the equation of state is calculated across phase transitions without recourse to interpolation techniques between density regimes described by different physical models eos tables are calculated in the wide range of densities temperature and protonneutron ratios on the ornl nccs xt3 using up to 2000 processors simultaneously | [['first', 'results', 'from', 'a', 'fully', 'selfconsistent', 'temperaturedependent', 'equation', 'of', 'state', 'that', 'spans', 'the', 'whole', 'density', 'range', 'of', 'neutron', 'stars', 'and', 'supernova', 'cores', 'are', 'presented', 'the', 'equation', 'of', 'state', 'eos', 'is', 'calculated', 'using', 'a', 'meanfield', 'hartreefock', 'method', 'in', 'three', 'dimensions', '3d', 'the', 'nuclear', 'interaction', 'is', 'represented', 'by', 'the', 'phenomenological', 'skyrme', 'model', 'in', 'this', 'work', 'but', 'the', 'eos', 'can', 'be', 'obtained', 'in', 'our', 'framework', 'for', 'any', 'suitable', 'form', 'of', 'the', 'nucleonnucleon', 'effective', 'interaction', 'the', 'scheme', 'we', 'employ', 'naturally', 'allows', 'effects', 'such', 'as', 'i', 'neutron', 'drip', 'which', 'results', 'in', 'an', 'external', 'neutron', 'gas', 'ii', 'the', 'variety', 'of', 'exotic', 'nuclear', 'shapes', 'expected', 'for', 'extremely', 'neutron', 'heavy', 'nuclei', 'and', 'iii', 'the', 'subsequent', 'dissolution', 'of', 'these', 'nuclei', 'into', 'nuclear', 'matter', 'in', 'this', 'way', 'the', 'equation', 'of', 'state', 'is', 'calculated', 'across', 'phase', 'transitions', 'without', 'recourse', 'to', 'interpolation', 'techniques', 'between', 'density', 'regimes', 'described', 'by', 'different', 'physical', 'models', 'eos', 'tables', 'are', 'calculated', 'in', 'the', 'wide', 'range', 'of', 'densities', 'temperature', 'and', 'protonneutron', 'ratios', 'on', 'the', 'ornl', 'nccs', 'xt3', 'using', 'up', 'to', '2000', 'processors', 'simultaneously']] | [-0.04435707995149541, 0.16420520163090124, -0.10765539341251955, 0.09027710927584626, -0.028049746906796208, -0.08423128505551651, 0.0572110241631823, 0.3494412927885477, -0.21235555512944887, -0.3424430285677588, -0.012095704633296907, -0.26137755511400357, -0.023104812592793643, 0.17268958312824964, 0.06558093117218625, 0.04426594781032278, 0.03951803874652947, 0.0052351811786462196, -0.13209449467849146, -0.1879173002785723, 0.3640131217376129, 0.011055658000058557, 0.23589219985689763, 0.05177542390416096, 0.060204010186831185, -0.0129997261908431, 0.013862348887269482, 0.008458560086969583, -0.13655348817634494, 0.05160298899096077, 0.27852149082041444, 0.08207722460462546, 0.16882089838568418, -0.45848965773964584, -0.2617621838243355, 0.06880901516929407, 0.13715821012077523, 0.15471184994108358, -0.06223810030193142, -0.29499794959884845, 0.03388472288801261, -0.2800424719412177, -0.14871258050648986, -0.126408183955776, 0.02021712370993901, 0.09087672003150626, -0.2486991707572679, 0.09554311678229911, -0.012961438966649327, -0.014375777926547395, -0.15898373071854202, -0.18126112231527644, 0.011301526995132923, 0.053209301018573206, 0.0001653623288680165, 0.04012621889259392, 0.14966933030429427, -0.1634110257163804, -0.035997106182314685, 0.4137020752725243, -0.04026791589346034, -0.12342503859998624, 0.16156264441373525, -0.13467359433430562, -0.12216869178885148, 0.15580316961234425, 0.15792092734353583, 0.14434127385563436, -0.17837234171381666, 0.06069282740194735, 0.002225868028240061, 0.1814183338353856, 0.020199334788838962, -0.008729505213539964, 0.20849542081516031, 0.19652360785135461, -0.043146785568628755, 0.06673009948236468, -0.13242562785259007, -0.13718804561081657, -0.30563381273425155, -0.06918417368415583, -0.15191336807172082, 0.01440808174137506, -0.1096307229893632, -0.12059979626703207, 0.34405669412350953, 0.08970195401539924, 0.17052588109559083, -0.0358416958766678, 0.29246429084268816, 0.10430486776517486, 0.05130023053601567, 0.07760184204228725, 0.26711412421870473, 0.1993750815902568, 0.09100193839143116, -0.2670316491797395, 0.05573082132196408, 0.058099963478001254] |
708.3198 | Universal price impact functions of individual trades in an order-driven
market | The trade size $\omega$ has direct impact on the price formation of the stock
traded. Econophysical analyses of transaction data for the US and Australian
stock markets have uncovered market-specific scaling laws, where a master curve
of price impact can be obtained in each market when stock capitalization $C$ is
included as an argument in the scaling relation. However, the rationale of
introducing stock capitalization in the scaling is unclear and the anomalous
negative correlation between price change $r$ and trade size $\omega$ for small
trades is unexplained. Here we show that these issues can be addressed by
taking into account the aggressiveness of orders that result in trades together
with a proper normalization technique. Using order book data from the Chinese
market, we show that trades from filled and partially filled limit orders have
very different price impact. The price impact of trades from partially filled
orders is constant when the volume is not too large, while that of filled
orders shows power-law behavior $r\sim \omega^\alpha$ with $\alpha\approx2/3$.
When returns and volumes are normalized by stock-dependent averages,
capitalization-independent scaling laws emerge for both types of trades.
However, no scaling relation in terms of stock capitalization can be
constructed. In addition, the relation $\alpha=\alpha_\omega/\alpha_r$ is
verified, where $\alpha_\omega$ and $\alpha_r$ are the tail exponents of trade
sizes and returns. These observations also enable us to explain the anomalous
negative correlation between $r$ and $\omega$ for small-size trades. We
anticipate that these regularities may hold in other order-driven markets.
| q-fin.TR physics.soc-ph | the trade size omega has direct impact on the price formation of the stock traded econophysical analyses of transaction data for the us and australian stock markets have uncovered marketspecific scaling laws where a master curve of price impact can be obtained in each market when stock capitalization c is included as an argument in the scaling relation however the rationale of introducing stock capitalization in the scaling is unclear and the anomalous negative correlation between price change r and trade size omega for small trades is unexplained here we show that these issues can be addressed by taking into account the aggressiveness of orders that result in trades together with a proper normalization technique using order book data from the chinese market we show that trades from filled and partially filled limit orders have very different price impact the price impact of trades from partially filled orders is constant when the volume is not too large while that of filled orders shows powerlaw behavior rsim omegaalpha with alphaapprox23 when returns and volumes are normalized by stockdependent averages capitalizationindependent scaling laws emerge for both types of trades however no scaling relation in terms of stock capitalization can be constructed in addition the relation alphaalpha_omegaalpha_r is verified where alpha_omega and alpha_r are the tail exponents of trade sizes and returns these observations also enable us to explain the anomalous negative correlation between r and omega for smallsize trades we anticipate that these regularities may hold in other orderdriven markets | [['the', 'trade', 'size', 'omega', 'has', 'direct', 'impact', 'on', 'the', 'price', 'formation', 'of', 'the', 'stock', 'traded', 'econophysical', 'analyses', 'of', 'transaction', 'data', 'for', 'the', 'us', 'and', 'australian', 'stock', 'markets', 'have', 'uncovered', 'marketspecific', 'scaling', 'laws', 'where', 'a', 'master', 'curve', 'of', 'price', 'impact', 'can', 'be', 'obtained', 'in', 'each', 'market', 'when', 'stock', 'capitalization', 'c', 'is', 'included', 'as', 'an', 'argument', 'in', 'the', 'scaling', 'relation', 'however', 'the', 'rationale', 'of', 'introducing', 'stock', 'capitalization', 'in', 'the', 'scaling', 'is', 'unclear', 'and', 'the', 'anomalous', 'negative', 'correlation', 'between', 'price', 'change', 'r', 'and', 'trade', 'size', 'omega', 'for', 'small', 'trades', 'is', 'unexplained', 'here', 'we', 'show', 'that', 'these', 'issues', 'can', 'be', 'addressed', 'by', 'taking', 'into', 'account', 'the', 'aggressiveness', 'of', 'orders', 'that', 'result', 'in', 'trades', 'together', 'with', 'a', 'proper', 'normalization', 'technique', 'using', 'order', 'book', 'data', 'from', 'the', 'chinese', 'market', 'we', 'show', 'that', 'trades', 'from', 'filled', 'and', 'partially', 'filled', 'limit', 'orders', 'have', 'very', 'different', 'price', 'impact', 'the', 'price', 'impact', 'of', 'trades', 'from', 'partially', 'filled', 'orders', 'is', 'constant', 'when', 'the', 'volume', 'is', 'not', 'too', 'large', 'while', 'that', 'of', 'filled', 'orders', 'shows', 'powerlaw', 'behavior', 'rsim', 'omegaalpha', 'with', 'alphaapprox23', 'when', 'returns', 'and', 'volumes', 'are', 'normalized', 'by', 'stockdependent', 'averages', 'capitalizationindependent', 'scaling', 'laws', 'emerge', 'for', 'both', 'types', 'of', 'trades', 'however', 'no', 'scaling', 'relation', 'in', 'terms', 'of', 'stock', 'capitalization', 'can', 'be', 'constructed', 'in', 'addition', 'the', 'relation', 'alphaalpha_omegaalpha_r', 'is', 'verified', 'where', 'alpha_omega', 'and', 'alpha_r', 'are', 'the', 'tail', 'exponents', 'of', 'trade', 'sizes', 'and', 'returns', 'these', 'observations', 'also', 'enable', 'us', 'to', 'explain', 'the', 'anomalous', 'negative', 'correlation', 'between', 'r', 'and', 'omega', 'for', 'smallsize', 'trades', 'we', 'anticipate', 'that', 'these', 'regularities', 'may', 'hold', 'in', 'other', 'orderdriven', 'markets']] | [-0.10286098114929551, 0.13213891762583832, -0.11740565731487863, 0.1221242451755956, -0.06662174288973548, -0.12980400725099883, 0.11868610750830381, 0.39255396402526843, -0.26439564896854345, -0.28227849011872436, 0.14270111513715314, -0.35921387780137115, -0.12852152106810177, 0.18111842053562602, -0.08245697977082407, -0.018682622976246153, 0.010764227940063526, -0.027902877414370048, 0.040105326268173085, -0.2801753618395658, 0.28898672429013605, 0.041858448792958906, 0.28386711818356924, 0.07637868720854891, 0.10611981941420694, -0.04588214695629221, -0.06753760714467508, 0.08841518385213662, -0.12887419051528057, 0.10501618441346972, 0.24139943577923628, 0.06760071060948501, 0.292231792534442, -0.4267176202133147, -0.13925457257991197, 0.12041416048973066, 0.0949343063402921, -0.011977694429586962, 0.04831645971967564, -0.229531265386823, 0.042869555353583985, -0.2317186977645596, -0.11829541015179186, -0.10661203025212343, 0.0742977163334545, 0.033722430259346216, -0.25368872958762173, 0.08842279707722377, 0.046955203658473665, 0.04925027878317585, -0.03505209305506871, -0.12303950106076224, -0.03274551467358356, 0.1751940350455459, 0.1519720172948494, -0.06424754232666302, 0.10150201204538223, -0.1107556981461115, -0.14771557942588173, 0.37450818908324496, -0.08282891700791431, -0.1437834198009039, 0.08521549012077796, -0.2106548672278133, -0.1074498072839113, 0.1146826120976122, 0.17790600875980359, -0.032918421893197373, -0.1275033372564439, 0.1041307401476947, -0.0398984322988535, 0.23805606740404714, 0.11753478311727465, -0.003782735139868207, 0.19076427491763454, 0.1582940601196033, 0.0649120385785297, 0.10861427295374776, -0.06263498550941252, -0.14238013483805306, -0.260946469476874, -0.11521210616881974, -0.15952822882166803, 0.05800886459360672, -0.190633501257193, -0.1308632410421479, 0.3289715977019218, 0.11293387475860549, 0.16973418881734986, 0.09169763827373915, 0.22733436747297614, 0.14157225669802503, 0.05835541657727502, 0.11604050504087593, 0.19743184003688882, -0.016659520091259945, 0.12406486988575274, -0.19110569950325804, 0.1652526640596601, 0.004233361300096283] |
708.3199 | Phases of Thermal N=2 Quiver Gauge Theories | We consider large N U(N)^M thermal N=2 quiver gauge theories on S^1 x S^3. We
obtain a phase diagram of the theory with R-symmetry chemical potentials,
separating a low-temperature/high-chemical potential region from a
high-temperature/low-chemical potential region. In close analogy with the N=4
SYM case, the free energy is of order O(1) in the low-temperature region and of
order O(N^2 M) in the high-temperature phase. We conclude that the N=2 theory
undergoes a first order Hagedorn phase transition at the curve in the phase
diagram separating these two regions. We observe that in the region of zero
temperature and critical chemical potential the Hilbert space of gauge
invariant operators truncates to smaller subsectors. We compute a l-loop
effective potential with non-zero VEV's for the scalar fields in a sector where
the VEV's are homogeneous and mutually commuting. At low temperatures the
eigenvalues of these VEV's are distributed uniformly over an S^5/Z_M which we
interpret as the emergence of the S^5/Z_M factor of the holographically dual
geometry AdS_5 x S^5/Z_M. Above the Hagedorn transition the eigenvalue
distribution of the Polyakov loop opens a gap, resulting in the collapse of the
joint eigenvalue distribution from S^5/Z_M x S^1 into S^6/Z_M.
| hep-th | we consider large n unm thermal n2 quiver gauge theories on s1 x s3 we obtain a phase diagram of the theory with rsymmetry chemical potentials separating a lowtemperaturehighchemical potential region from a hightemperaturelowchemical potential region in close analogy with the n4 sym case the free energy is of order o1 in the lowtemperature region and of order on2 m in the hightemperature phase we conclude that the n2 theory undergoes a first order hagedorn phase transition at the curve in the phase diagram separating these two regions we observe that in the region of zero temperature and critical chemical potential the hilbert space of gauge invariant operators truncates to smaller subsectors we compute a lloop effective potential with nonzero vevs for the scalar fields in a sector where the vevs are homogeneous and mutually commuting at low temperatures the eigenvalues of these vevs are distributed uniformly over an s5z_m which we interpret as the emergence of the s5z_m factor of the holographically dual geometry ads_5 x s5z_m above the hagedorn transition the eigenvalue distribution of the polyakov loop opens a gap resulting in the collapse of the joint eigenvalue distribution from s5z_m x s1 into s6z_m | [['we', 'consider', 'large', 'n', 'unm', 'thermal', 'n2', 'quiver', 'gauge', 'theories', 'on', 's1', 'x', 's3', 'we', 'obtain', 'a', 'phase', 'diagram', 'of', 'the', 'theory', 'with', 'rsymmetry', 'chemical', 'potentials', 'separating', 'a', 'lowtemperaturehighchemical', 'potential', 'region', 'from', 'a', 'hightemperaturelowchemical', 'potential', 'region', 'in', 'close', 'analogy', 'with', 'the', 'n4', 'sym', 'case', 'the', 'free', 'energy', 'is', 'of', 'order', 'o1', 'in', 'the', 'lowtemperature', 'region', 'and', 'of', 'order', 'on2', 'm', 'in', 'the', 'hightemperature', 'phase', 'we', 'conclude', 'that', 'the', 'n2', 'theory', 'undergoes', 'a', 'first', 'order', 'hagedorn', 'phase', 'transition', 'at', 'the', 'curve', 'in', 'the', 'phase', 'diagram', 'separating', 'these', 'two', 'regions', 'we', 'observe', 'that', 'in', 'the', 'region', 'of', 'zero', 'temperature', 'and', 'critical', 'chemical', 'potential', 'the', 'hilbert', 'space', 'of', 'gauge', 'invariant', 'operators', 'truncates', 'to', 'smaller', 'subsectors', 'we', 'compute', 'a', 'lloop', 'effective', 'potential', 'with', 'nonzero', 'vevs', 'for', 'the', 'scalar', 'fields', 'in', 'a', 'sector', 'where', 'the', 'vevs', 'are', 'homogeneous', 'and', 'mutually', 'commuting', 'at', 'low', 'temperatures', 'the', 'eigenvalues', 'of', 'these', 'vevs', 'are', 'distributed', 'uniformly', 'over', 'an', 's5z_m', 'which', 'we', 'interpret', 'as', 'the', 'emergence', 'of', 'the', 's5z_m', 'factor', 'of', 'the', 'holographically', 'dual', 'geometry', 'ads_5', 'x', 's5z_m', 'above', 'the', 'hagedorn', 'transition', 'the', 'eigenvalue', 'distribution', 'of', 'the', 'polyakov', 'loop', 'opens', 'a', 'gap', 'resulting', 'in', 'the', 'collapse', 'of', 'the', 'joint', 'eigenvalue', 'distribution', 'from', 's5z_m', 'x', 's1', 'into', 's6z_m']] | [-0.17847740931614042, 0.2317402252733747, -0.06459709763714142, 0.04526864804781148, -0.0005745552864271341, -0.10590439322692602, 0.04823922752654756, 0.3420716952244492, -0.20262660193689092, -0.23914045187135793, 0.06822823515682741, -0.3007399786849381, -0.10554249259372021, 0.06729288173949864, 0.0044939605268342515, 0.014798335217361906, -0.050474031305074996, 0.08249633860763537, -0.13966151582768438, -0.20958624460095943, 0.3407964037458854, -0.02672766852696647, 0.24403732662574032, 0.05658837467355212, 0.06698065723734188, -0.04329751555757032, 0.05936357623791879, -0.022277239580625503, -0.15071814433593825, 0.07598164547462803, 0.23659611686814538, 0.018912606433360388, 0.14754600845488539, -0.39106770504035593, -0.2027628336806263, 0.1538119118195027, 0.1805306422408939, 0.07405921210446059, -0.005861031667439786, -0.26335275643049094, 0.028131407470749596, -0.15965392293658145, -0.17862001477294245, -0.051677885182086644, 0.01453527119816293, -0.09327505721432186, -0.2748177117720899, 0.08765355426834334, -0.01113499938834401, 0.031883971489601065, -0.056864803536019776, -0.1119198677461287, -0.08216233862943217, 0.0969493740175841, 0.0588967399893703, 0.09541221372495146, 0.1183345869994247, -0.16544374873076767, -0.04887580136425275, 0.33617254969731125, -0.08528501752880402, -0.1262121858128068, 0.12032842718199202, -0.22244546429935805, -0.13181977548166035, 0.1752753983667005, 0.11139080935810722, 0.15087497585990764, -0.07422007666420691, 0.20583598992649885, -0.008693399956718702, 0.12315814255571146, 0.07224987128379841, 0.021193787117114234, 0.24826532972438894, 0.09330168518192164, 0.0718816263990035, 0.18135260909162076, -0.05632128994779892, -0.1467668544537071, -0.3923525154763429, -0.14628710887471655, -0.1452713021384456, 0.07704633633610937, -0.18497507530242052, -0.18114500518494583, 0.37838501254691903, 0.10857936745802343, 0.25278235942163724, 0.03436581976291695, 0.21202543743204363, 0.12277325781448696, 0.045773870856549166, 0.08405693319923792, 0.20915546521818093, 0.16895877963325642, 0.09349764753841151, -0.24928562008156488, -0.08855286651391767, 0.153548813717843] |
708.32 | First-principles study of the effects of gold adsorption on the Al(001)
surface properties | In this work, we have studied theoretically the effects of gold adsorption on
the Al(001) surface, using {\it ab initio} pseudo-potential method in the
framework of the density functional theory. Having found the hollow sites at
the Al(001) surface as the most preferred adsorption sites, we have
investigated the effects of the Au adsorption with different coverages
($\Theta$=0.11, 0.25, 0.50, 0.75, 1.00 ML) on the geometry, adsorption energy,
surface dipole moment, and the work-function of the Al(001) surface. The
results show that, even though the work-function of the Al substrate increases
with the Au coverage, the surface dipole moment decreases with the changes in
coverage from $\Theta=0.11$ ML to $\Theta=0.25$ ML. We have explained this
behavior by analyzing the electronic and ionic charge distributions.
Furthermore, by studying the diffusion of Au atoms in to the substrate, we have
shown that at room temperature the diffusion rate of Au atoms in to the
substrate is negligible but, increasing the temperature to about 200$^\circ$ C
the Au atoms significantly diffuse in to the substrate, in agreement with the
experiment.
| cond-mat.mtrl-sci | in this work we have studied theoretically the effects of gold adsorption on the al001 surface using it ab initio pseudopotential method in the framework of the density functional theory having found the hollow sites at the al001 surface as the most preferred adsorption sites we have investigated the effects of the au adsorption with different coverages theta011 025 050 075 100 ml on the geometry adsorption energy surface dipole moment and the workfunction of the al001 surface the results show that even though the workfunction of the al substrate increases with the au coverage the surface dipole moment decreases with the changes in coverage from theta011 ml to theta025 ml we have explained this behavior by analyzing the electronic and ionic charge distributions furthermore by studying the diffusion of au atoms in to the substrate we have shown that at room temperature the diffusion rate of au atoms in to the substrate is negligible but increasing the temperature to about 200circ c the au atoms significantly diffuse in to the substrate in agreement with the experiment | [['in', 'this', 'work', 'we', 'have', 'studied', 'theoretically', 'the', 'effects', 'of', 'gold', 'adsorption', 'on', 'the', 'al001', 'surface', 'using', 'it', 'ab', 'initio', 'pseudopotential', 'method', 'in', 'the', 'framework', 'of', 'the', 'density', 'functional', 'theory', 'having', 'found', 'the', 'hollow', 'sites', 'at', 'the', 'al001', 'surface', 'as', 'the', 'most', 'preferred', 'adsorption', 'sites', 'we', 'have', 'investigated', 'the', 'effects', 'of', 'the', 'au', 'adsorption', 'with', 'different', 'coverages', 'theta011', '025', '050', '075', '100', 'ml', 'on', 'the', 'geometry', 'adsorption', 'energy', 'surface', 'dipole', 'moment', 'and', 'the', 'workfunction', 'of', 'the', 'al001', 'surface', 'the', 'results', 'show', 'that', 'even', 'though', 'the', 'workfunction', 'of', 'the', 'al', 'substrate', 'increases', 'with', 'the', 'au', 'coverage', 'the', 'surface', 'dipole', 'moment', 'decreases', 'with', 'the', 'changes', 'in', 'coverage', 'from', 'theta011', 'ml', 'to', 'theta025', 'ml', 'we', 'have', 'explained', 'this', 'behavior', 'by', 'analyzing', 'the', 'electronic', 'and', 'ionic', 'charge', 'distributions', 'furthermore', 'by', 'studying', 'the', 'diffusion', 'of', 'au', 'atoms', 'in', 'to', 'the', 'substrate', 'we', 'have', 'shown', 'that', 'at', 'room', 'temperature', 'the', 'diffusion', 'rate', 'of', 'au', 'atoms', 'in', 'to', 'the', 'substrate', 'is', 'negligible', 'but', 'increasing', 'the', 'temperature', 'to', 'about', '200circ', 'c', 'the', 'au', 'atoms', 'significantly', 'diffuse', 'in', 'to', 'the', 'substrate', 'in', 'agreement', 'with', 'the', 'experiment']] | [-0.06419952762934966, 0.1275288193349355, -0.039590083501393224, 0.010438170159542449, 0.060250567938497215, -0.1117999438261021, 0.0859686339050639, 0.43195793826154544, -0.24511528326362653, -0.34669973410536786, -0.016508260237812093, -0.34202571303685964, -0.0974684097303476, 0.1291829880133185, 0.02912352881205909, -0.003457407932055608, 0.011481057643901147, -0.03687463731994863, -0.09989585310376836, -0.2367125642082164, 0.25628714348227216, 0.14135725174982078, 0.29106029240963605, 0.15334086873261743, 0.024142923902160343, -0.013525866519799725, 0.08623526736453305, 0.04549800226669436, -0.20602862403172573, 0.12321412076217539, 0.22481674434094975, -0.04071540036507899, 0.1918046108926135, -0.46593577122972535, -0.21965723246271382, -0.012841419155327227, 0.08307913534149441, 0.13160071800855888, -0.07483350004424809, -0.23822541470838593, 0.0795035697385195, -0.11874572001935947, -0.11855874351371144, 0.012141117468110226, 0.044114149072627416, 0.04324029676072472, -0.20060938164340117, 0.10598142863375086, 0.031631261115689153, 0.11603871567142492, -0.10345452843029375, -0.19257646856689556, -0.10905917379177428, 0.04112457366111134, 0.08955800952221606, 0.050774034898663535, 0.23168267367806047, -0.06251499620454677, -0.02024088936287242, 0.3717397650585354, -0.10566569674717036, -0.13828881407921026, 0.21430967869829234, -0.22608673027070572, -0.05993396583005835, 0.17890165984156847, 0.1398646914793146, 0.13397825096405483, -0.1224780444895601, 0.09493644819446877, 0.019811676373043114, 0.19901693462948664, 0.10656513181122053, -0.015826462444048874, 0.22147845223847495, 0.1995432761503179, 0.050116271636518786, 0.09413709475879552, -0.20455139215814885, -0.059659582502518196, -0.17901975790178673, -0.16883553044515193, -0.21693259022720804, 0.02109478895870075, -0.09545138141801823, -0.1596846595610764, 0.3476326833183021, 0.13419997091997263, 0.19073561706844006, -0.006359343449289055, 0.22288094685450627, 0.08637909266513616, 0.07693673925127059, 0.03553891575684457, 0.29202556714679334, 0.13867790753969308, 0.08514983711947251, -0.2551349574778057, 0.10652887908273478, -0.025238173853638284] |
708.3201 | Recent developments of the DDVV Conjecture | In this paper, we give a survey of the recent develpoments of the DDVV
conjecture.
| math.DG | in this paper we give a survey of the recent develpoments of the ddvv conjecture | [['in', 'this', 'paper', 'we', 'give', 'a', 'survey', 'of', 'the', 'recent', 'develpoments', 'of', 'the', 'ddvv', 'conjecture']] | [-0.202962256302791, 0.001564604030655963, -0.15387744350092752, -0.029642436561906443, -0.04851424893630402, 0.009577653271013073, 0.04744752184654187, 0.2450045936607889, -0.2129384907228606, -0.2854689129495195, 0.1054791192041843, -0.23730230915160583, -0.2317558065322893, 0.1708816694361823, -0.16266474280772464, -0.013076994568109512, 0.06643733807972499, -0.017413627622382983, -0.04473101580515504, -0.40604225838822977, 0.39260866599423544, 0.050327843454267294, 0.1828971239072936, 0.19254734593310527, 0.06203676633802908, 0.0028225968458822797, -0.08915098038102899, -0.009050616063177586, -0.2866325409683798, 0.2679669169176902, 0.24447035190782376, 0.21005058834063156, 0.28931753976004465, -0.38207135003592285, -0.1267493923161445, 0.14766054387603486, 0.13255776980492687, 0.16004162388188498, -0.12232467458982553, -0.23815451562404633, 0.0999902285236333, -0.20063165465502866, -0.18228869206671203, 0.013749609834381513, 0.01686838415584394, 0.033094889750438075, -0.19332560923482692, 0.11428827905495252, 0.1800364276527294, 0.12183062832004257, -0.06722759867885283, -0.07470657676458359, 0.1281116506350892, 0.05754270254900413, 0.043296579138508866, 0.0829391976419304, -0.08141510145339582, -0.15027502337138035, -0.11369296056883675, 0.32476042610194, -0.054645828370537074, -0.06184726447931358, 0.08858590253761836, -0.17302521717335498, -0.27249858900904655, -0.002623761397054685, 0.17905154371900217, 0.20156147277780942, -0.10619319549628667, 0.13623103412932583, -0.23366155049630574, 0.05678707627313478, 0.046623255259224346, 0.017061541389141763, 0.15369275571512325, 0.16060476643698557, 0.10028249557529177, 0.23426533064671926, -0.08574807324579783, 0.020193584196801697, -0.3694372352744852, -0.23405956955892698, -0.12582025437482766, 0.1292181062911238, 0.022259154889200414, -0.17360949888825417, 0.4486734537141664, 0.22516454011201859, 0.25217202985991855, 0.1577949654976172, 0.26609523754034725, 0.07054362565811191, -0.04122014955750534, -0.020314662983374938, 0.2788139387433018, 0.1554556486329862, 0.14189371905688727, -0.1122222545423678, -0.020089788553637584, 0.09045704660405006] |
708.3202 | Stochastic solution of nonlinear and nonhomogeneous evolution problems
by a differential Kolmogorov equation | A large class of physically important nonlinear and nonhomogeneous evolution
problems, characterized by advection-like and diffusion-like processes, can be
usefully studied by a time-differential form of Kolmogorov's solution of the
backward-time Fokker-Planck equation. The differential solution embodies an
integral representation theorem by which any physical or mathematical entity
satisfying a generalized nonhomogeneous advection-diffusion equation can be
calculated incrementally in time. The utility of the approach for tackling
nonlinear problems is illustrated via solution of the noise-free Burgers and
related Kardar-Parisi-Zhang (KPZ) equations where it is shown that the
differential Kolmogorov solution encompasses, and allows derivation of, the
classical Cole-Hopf and KPZ transformations and solutions. A second example,
illustrating application of this approach to nonhomogeneous evolution problems,
derives the Feynman-Kac formula appropriate to a Schrodinger-like equation.
| physics.data-an physics.flu-dyn | a large class of physically important nonlinear and nonhomogeneous evolution problems characterized by advectionlike and diffusionlike processes can be usefully studied by a timedifferential form of kolmogorovs solution of the backwardtime fokkerplanck equation the differential solution embodies an integral representation theorem by which any physical or mathematical entity satisfying a generalized nonhomogeneous advectiondiffusion equation can be calculated incrementally in time the utility of the approach for tackling nonlinear problems is illustrated via solution of the noisefree burgers and related kardarparisizhang kpz equations where it is shown that the differential kolmogorov solution encompasses and allows derivation of the classical colehopf and kpz transformations and solutions a second example illustrating application of this approach to nonhomogeneous evolution problems derives the feynmankac formula appropriate to a schrodingerlike equation | [['a', 'large', 'class', 'of', 'physically', 'important', 'nonlinear', 'and', 'nonhomogeneous', 'evolution', 'problems', 'characterized', 'by', 'advectionlike', 'and', 'diffusionlike', 'processes', 'can', 'be', 'usefully', 'studied', 'by', 'a', 'timedifferential', 'form', 'of', 'kolmogorovs', 'solution', 'of', 'the', 'backwardtime', 'fokkerplanck', 'equation', 'the', 'differential', 'solution', 'embodies', 'an', 'integral', 'representation', 'theorem', 'by', 'which', 'any', 'physical', 'or', 'mathematical', 'entity', 'satisfying', 'a', 'generalized', 'nonhomogeneous', 'advectiondiffusion', 'equation', 'can', 'be', 'calculated', 'incrementally', 'in', 'time', 'the', 'utility', 'of', 'the', 'approach', 'for', 'tackling', 'nonlinear', 'problems', 'is', 'illustrated', 'via', 'solution', 'of', 'the', 'noisefree', 'burgers', 'and', 'related', 'kardarparisizhang', 'kpz', 'equations', 'where', 'it', 'is', 'shown', 'that', 'the', 'differential', 'kolmogorov', 'solution', 'encompasses', 'and', 'allows', 'derivation', 'of', 'the', 'classical', 'colehopf', 'and', 'kpz', 'transformations', 'and', 'solutions', 'a', 'second', 'example', 'illustrating', 'application', 'of', 'this', 'approach', 'to', 'nonhomogeneous', 'evolution', 'problems', 'derives', 'the', 'feynmankac', 'formula', 'appropriate', 'to', 'a', 'schrodingerlike', 'equation']] | [-0.09035443204807163, 0.028114203860669974, -0.11798612406946779, 0.10091993869263376, -0.15719756776868268, -0.18702254319805803, -0.04703593395586027, 0.23430835386753324, -0.34332083974306177, -0.25105331760899324, 0.10752224969882064, -0.2542685302168678, -0.18175723491713586, 0.21023868263426532, -0.032613507078248796, 0.14177293744225933, 0.048345569146388184, -0.025907941102012385, -0.058282990604866206, -0.1947917161524538, 0.35794289950167807, -0.017330803082142843, 0.2522639616475842, 0.00027088654356274177, 0.21484632607610002, -0.04159040927387229, -0.04664734379214242, 0.03153649398042419, -0.1538892656045221, 0.0902329142379567, 0.2905880101100822, 0.0907140660357124, 0.3024144180921641, -0.40707943515806666, -0.26185447448576854, 0.04777331639656691, 0.16386255402708563, 0.12071543455604707, -0.028874463776535377, -0.34106510397561685, 0.03023489006242253, -0.1303858762811415, -0.22027452690223973, -0.06908927314225735, 0.039254854895113926, 0.07063826119027487, -0.31535406531084603, 0.1558568108622439, 0.10443058082970177, -0.03134941531542113, -0.1424891902327848, -0.035892442565381044, -0.01129677936404459, 0.02328108704452047, 0.029672250134597827, -0.03144282526033741, 0.06456464473385273, -0.1341841906191766, -0.11087999245288169, 0.406974913173817, -0.06599132147640353, -0.30787378292137046, 0.1223181447589664, -0.08355427954376228, -0.09289467503596854, 0.1384185369815526, 0.13794890253585043, 0.1431791910947096, -0.24654376540878198, 0.15385443276282762, -0.04546096331886644, 0.11803456324690241, 0.06821024097593092, -0.04104015382945659, 0.10011398471036274, 0.16162932426025106, 0.061057781959634, 0.1623203118759533, 0.058219020383629375, -0.19518449409709623, -0.33825608191451406, -0.19296818151994327, -0.18898416769395515, 0.12523337939708698, -0.15498789618235664, -0.17999958450318224, 0.35151215654994716, 0.13543550219013908, 0.12843593484835653, 0.07573858773188166, 0.20605679613545658, 0.298486769013864, -0.010829579247903775, 0.05792552121437904, 0.11871646405235539, 0.19438051121740987, 0.18598168439466536, -0.21693646806179606, 0.06494200492762332, 0.17653215025377467] |
708.3203 | Scalar-tensor black holes coupled to Euler-Heisenberg nonlinear
electrodynamics | The no-scalar-hair conjecture rules out the existence of asymptotically flat
black holes with a scalar dressing for a large class of theories.
No-scalar-hair theorems have been proved for the cases of neutral black holes
and for charged black holes in the Maxwell electrodynamics. These theorems,
however, do not apply in the case of non-linear electrodynamics. In the present
work numerical solutions describing charged black holes coupled to
Euler-Heisenberg type non-linear electrodynamics in scalar-tensor theories of
gravity with massless scalar field are found. In comparison to the
corresponding solution in General Relativity the presented solution has a
simpler causal structure the reason for which is the presence of the scalar
field. The present class of black holes has a single, non-degenerate horizon,
i.e., its causal structure resembles that of the Schwarzschild black hole.
| gr-qc | the noscalarhair conjecture rules out the existence of asymptotically flat black holes with a scalar dressing for a large class of theories noscalarhair theorems have been proved for the cases of neutral black holes and for charged black holes in the maxwell electrodynamics these theorems however do not apply in the case of nonlinear electrodynamics in the present work numerical solutions describing charged black holes coupled to eulerheisenberg type nonlinear electrodynamics in scalartensor theories of gravity with massless scalar field are found in comparison to the corresponding solution in general relativity the presented solution has a simpler causal structure the reason for which is the presence of the scalar field the present class of black holes has a single nondegenerate horizon ie its causal structure resembles that of the schwarzschild black hole | [['the', 'noscalarhair', 'conjecture', 'rules', 'out', 'the', 'existence', 'of', 'asymptotically', 'flat', 'black', 'holes', 'with', 'a', 'scalar', 'dressing', 'for', 'a', 'large', 'class', 'of', 'theories', 'noscalarhair', 'theorems', 'have', 'been', 'proved', 'for', 'the', 'cases', 'of', 'neutral', 'black', 'holes', 'and', 'for', 'charged', 'black', 'holes', 'in', 'the', 'maxwell', 'electrodynamics', 'these', 'theorems', 'however', 'do', 'not', 'apply', 'in', 'the', 'case', 'of', 'nonlinear', 'electrodynamics', 'in', 'the', 'present', 'work', 'numerical', 'solutions', 'describing', 'charged', 'black', 'holes', 'coupled', 'to', 'eulerheisenberg', 'type', 'nonlinear', 'electrodynamics', 'in', 'scalartensor', 'theories', 'of', 'gravity', 'with', 'massless', 'scalar', 'field', 'are', 'found', 'in', 'comparison', 'to', 'the', 'corresponding', 'solution', 'in', 'general', 'relativity', 'the', 'presented', 'solution', 'has', 'a', 'simpler', 'causal', 'structure', 'the', 'reason', 'for', 'which', 'is', 'the', 'presence', 'of', 'the', 'scalar', 'field', 'the', 'present', 'class', 'of', 'black', 'holes', 'has', 'a', 'single', 'nondegenerate', 'horizon', 'ie', 'its', 'causal', 'structure', 'resembles', 'that', 'of', 'the', 'schwarzschild', 'black', 'hole']] | [-0.15991335577387927, 0.06923408721570123, -0.04636356803574458, 0.13379583081008273, -0.09222387106538835, -0.1965205077977964, -0.0527045729915809, 0.2637489246536103, -0.11291689999041299, -0.27820265668384364, 0.06013120212204134, -0.3088897706880799, -0.1252962690919186, 0.1814150980851881, -0.0317875866656488, 0.04895929992860395, -0.017744234378562505, 0.06174389703664929, -0.08849026321849758, -0.22634456176346054, 0.395929786955204, 0.04177494287829508, 0.23191550140671263, -0.024944465064133208, 0.08812234937354471, 0.0012746093725030678, 0.03160828008637481, 0.09458971455364229, -0.12757313567078998, 0.07268714059010205, 0.22522489853189187, 0.09858521868326617, 0.24100285193135002, -0.4123499091912174, -0.25627335347764363, 0.06790520726688996, 0.1292410991330998, 0.19985980344989168, -0.13752828209632725, -0.26284048412609, 0.08206196418331908, -0.17671915258732485, -0.19507386205915475, -0.05476859413002702, 0.043823765613717224, -0.061561991905998155, -0.21779571654659582, 0.1212739061981362, 0.07822308700644609, -0.09291725290897761, -0.11285754374782273, -0.030391477815679867, -0.031664271976544776, 0.051832636444349635, 0.15084696062099698, -0.00930826909571999, 0.1240447780406667, -0.14597811979933106, -0.1600772387649737, 0.36980519646948035, -0.08117255557215575, -0.2398212354094016, 0.1530210907257049, -0.23937301261519844, -0.13729467870628773, 0.11485586454121706, 0.14568278469695625, 0.2610134229444983, -0.17799170412366616, 0.215235012886379, -0.05535970146372689, 0.140617557496157, 0.12144949698863043, 0.07432743588640622, 0.3720329400420076, 0.09907401711538885, -0.015970478082167436, 0.15101039156345933, 0.005303794666278091, -0.13367554081857883, -0.34151494085337175, -0.16767879109300504, -0.10363076950395197, 0.12385617525179635, -0.14897198788810673, -0.23397339564734, 0.32304759873923933, 0.09198654035571963, 0.0693001429425556, 0.050010928616922516, 0.1894539879689491, 0.10655276933120507, 0.04750940681675054, 0.10425170094381567, 0.39131558322432364, 0.19665337656271842, 0.1587847072091377, -0.21644228405784816, -0.09864570617421785, 0.12496767353238256] |
708.3204 | Main effects of the Earth's rotation on the stationary states of
ultra-cold neutrons | The relativistic corrections in the Hamiltonian for a particle in a uniformly
rotating frame are discussed. They are shown to be negligible in the case of
ultra-cold neutrons (UCN) in the Earth's gravity. The effect, on the energy
levels of UCN, of the main term due to the Earth's rotation, i.e. the
angular-momentum term, is calculated. The energy shift is found proportional to
the energy level itself.
| quant-ph gr-qc | the relativistic corrections in the hamiltonian for a particle in a uniformly rotating frame are discussed they are shown to be negligible in the case of ultracold neutrons ucn in the earths gravity the effect on the energy levels of ucn of the main term due to the earths rotation ie the angularmomentum term is calculated the energy shift is found proportional to the energy level itself | [['the', 'relativistic', 'corrections', 'in', 'the', 'hamiltonian', 'for', 'a', 'particle', 'in', 'a', 'uniformly', 'rotating', 'frame', 'are', 'discussed', 'they', 'are', 'shown', 'to', 'be', 'negligible', 'in', 'the', 'case', 'of', 'ultracold', 'neutrons', 'ucn', 'in', 'the', 'earths', 'gravity', 'the', 'effect', 'on', 'the', 'energy', 'levels', 'of', 'ucn', 'of', 'the', 'main', 'term', 'due', 'to', 'the', 'earths', 'rotation', 'ie', 'the', 'angularmomentum', 'term', 'is', 'calculated', 'the', 'energy', 'shift', 'is', 'found', 'proportional', 'to', 'the', 'energy', 'level', 'itself']] | [-0.12880638594662688, 0.24718025154364642, -0.05521858945999767, 0.12193956108826365, 0.009206881093333907, -0.047430687722986316, -0.013805210367957158, 0.2965972394640766, -0.24322879682781537, -0.2895793600925314, 0.004767793043057865, -0.3107347657292414, 0.0054438281526316456, 0.18832079741804958, -0.06902392522550063, 0.018816402369637542, 0.055195669129268446, 0.13756407599951795, -0.046164602727573646, -0.2022582561597784, 0.280953601572607, 0.17814674880355597, 0.24924924007769841, 0.10610971922305093, 0.0978938111924191, -0.069915712612973, -0.0070810648404173, -0.02135883726235201, -0.09224201974445093, 0.06265899451421712, 0.2261482357784216, -0.020723441733853584, 0.20132408437054994, -0.46167349409478814, -0.2130160464022531, 0.07847119939388401, 0.08265414600496862, 0.15327311663040474, -0.043404029732667354, -0.25142399878797134, -0.008590883505878165, -0.18895411517109667, -0.1537108016547872, -0.021448941824874328, 0.04272659254997079, 0.028001513061071955, -0.2434482201238844, 0.06644766884091408, 0.06770737399694635, 0.01025904192408519, -0.14146187692991832, -0.11692423495783735, -0.029256104005139266, 0.06023433794781788, 0.12933469915748644, 0.08988614803147085, 0.16068863088904478, -0.10564421970786443, -0.017277105058084673, 0.4820128432405529, -0.10314213570360262, -0.2402553344840434, 0.11793488611592286, -0.1866703878865758, -0.054409221982333195, 0.15933441572280518, 0.1730077685996779, 0.10530789607246198, -0.1441282022244005, 0.09716420726322417, 0.037940119101262805, 0.13789512710680546, 0.07015584705314085, 0.04231586204424723, 0.26329491490414786, 0.10586121385055247, 0.0297946364048924, 0.11454953405999148, -0.16727219331217236, -0.12331712512480122, -0.3009457723307076, -0.14512214304378895, -0.19388930719179004, 0.010800974137747466, -0.025602835318275185, -0.1289265347768921, 0.3759969741995655, 0.09342083729692359, 0.13273316035186178, -0.016689367147523965, 0.32496353925497673, 0.19532819550289815, 0.09751236720233043, 0.09230759034292518, 0.34881502650886664, 0.15473748960379344, 0.09825006902648775, -0.3228593154101452, 0.032427738483216784, 0.04737980406272656] |
708.3205 | Human breath analysis via cavity-enhanced optical frequency comb
spectroscopy | To date, researchers have identified over 1000 different compounds contained
in human breath. These molecules have both endogenous and exogenous origins and
provide information about physiological processes occurring in the body as well
as environment-related ingestion or absorption of contaminants1,2. While the
presence and concentration of many of these molecules are poorly understood,
many 'biomarker' molecules have been correlated to specific diseases and
metabolic processes. Such correlations can result in non-invasive methods of
health screening for a wide variety of medical conditions. In this article we
present human breath analysis using an optical-frequency-comb-based trace
detection system with excellent performance in all criteria: detection
sensitivity, ability to identify and distinguish a large number of biomarkers,
and measurement time. We demonstrate a minimum detectable absorption of 8 x
10-10 cm-1, a spectral resolution of 800 MHz, and 200 nm of spectral coverage
from 1.5 to 1.7 micron where strong and unique molecular fingerprints exist for
many biomarkers. We present a series of breath measurements including stable
isotope ratios of CO2, breath concentrations of CO, and the presence of trace
concentrations of NH3 in high concentrations of H2O.
| physics.optics physics.atom-ph physics.chem-ph physics.ins-det | to date researchers have identified over 1000 different compounds contained in human breath these molecules have both endogenous and exogenous origins and provide information about physiological processes occurring in the body as well as environmentrelated ingestion or absorption of contaminants12 while the presence and concentration of many of these molecules are poorly understood many biomarker molecules have been correlated to specific diseases and metabolic processes such correlations can result in noninvasive methods of health screening for a wide variety of medical conditions in this article we present human breath analysis using an opticalfrequencycombbased trace detection system with excellent performance in all criteria detection sensitivity ability to identify and distinguish a large number of biomarkers and measurement time we demonstrate a minimum detectable absorption of 8 x 1010 cm1 a spectral resolution of 800 mhz and 200 nm of spectral coverage from 15 to 17 micron where strong and unique molecular fingerprints exist for many biomarkers we present a series of breath measurements including stable isotope ratios of co2 breath concentrations of co and the presence of trace concentrations of nh3 in high concentrations of h2o | [['to', 'date', 'researchers', 'have', 'identified', 'over', '1000', 'different', 'compounds', 'contained', 'in', 'human', 'breath', 'these', 'molecules', 'have', 'both', 'endogenous', 'and', 'exogenous', 'origins', 'and', 'provide', 'information', 'about', 'physiological', 'processes', 'occurring', 'in', 'the', 'body', 'as', 'well', 'as', 'environmentrelated', 'ingestion', 'or', 'absorption', 'of', 'contaminants12', 'while', 'the', 'presence', 'and', 'concentration', 'of', 'many', 'of', 'these', 'molecules', 'are', 'poorly', 'understood', 'many', 'biomarker', 'molecules', 'have', 'been', 'correlated', 'to', 'specific', 'diseases', 'and', 'metabolic', 'processes', 'such', 'correlations', 'can', 'result', 'in', 'noninvasive', 'methods', 'of', 'health', 'screening', 'for', 'a', 'wide', 'variety', 'of', 'medical', 'conditions', 'in', 'this', 'article', 'we', 'present', 'human', 'breath', 'analysis', 'using', 'an', 'opticalfrequencycombbased', 'trace', 'detection', 'system', 'with', 'excellent', 'performance', 'in', 'all', 'criteria', 'detection', 'sensitivity', 'ability', 'to', 'identify', 'and', 'distinguish', 'a', 'large', 'number', 'of', 'biomarkers', 'and', 'measurement', 'time', 'we', 'demonstrate', 'a', 'minimum', 'detectable', 'absorption', 'of', '8', 'x', '1010', 'cm1', 'a', 'spectral', 'resolution', 'of', '800', 'mhz', 'and', '200', 'nm', 'of', 'spectral', 'coverage', 'from', '15', 'to', '17', 'micron', 'where', 'strong', 'and', 'unique', 'molecular', 'fingerprints', 'exist', 'for', 'many', 'biomarkers', 'we', 'present', 'a', 'series', 'of', 'breath', 'measurements', 'including', 'stable', 'isotope', 'ratios', 'of', 'co2', 'breath', 'concentrations', 'of', 'co', 'and', 'the', 'presence', 'of', 'trace', 'concentrations', 'of', 'nh3', 'in', 'high', 'concentrations', 'of', 'h2o']] | [-0.0626391965226026, 0.11103471989631768, 0.013310598900358453, 0.03278769861303697, 0.008402188770381397, -0.11933827248295067, 0.0541079573821826, 0.40858363897967165, -0.2135864843263245, -0.3553168128443057, 0.1051556053784513, -0.3051645796888513, -0.10578212081683708, 0.18446888662003175, -0.039538774097368855, 0.04555587862399432, 0.054328393999008774, -0.01584652016340765, 0.0019914202972269447, -0.2079093200224579, 0.20593475847622084, 0.04248234315627748, 0.24699500924017015, 0.11799115356302163, 0.0801254075562551, -0.06805924927151655, -0.0306518078575552, -0.015096628661852718, -0.1179452920256213, 0.11732447213783372, 0.3568812327591774, 0.15136213503304685, 0.2589808929217928, -0.40540253291099937, -0.2508672555918739, 0.10939032510889928, 0.12965398592380756, 0.07535519057508212, -0.05272786744712481, -0.26795379505390965, 0.06985454352908448, -0.1416676516028864, -0.09157694557737661, -0.10015077208922006, 0.0318691461229992, 0.061121670034958324, -0.2579199730550942, 0.1349474816745951, -0.011827668797891445, 0.20426198115948935, -0.1307579545912338, -0.170207680426309, -0.02883187272392539, 0.16298546646390863, 0.043078560366860176, -0.014240513311424216, 0.2175965438637618, -0.133378017987659, -0.07066342549632644, 0.3628337092270128, -0.0983374289152991, -0.0932767749916701, 0.2912034355345706, -0.17877585751623093, -0.17385881709677925, 0.21793102379633836, 0.17965346496664192, 0.1311967726300669, -0.2016096873351378, -0.031244261742790887, 0.0025625188473632427, 0.20942237313144682, 0.11689450376529674, 0.10145500504864695, 0.221071775092952, 0.16538444265998045, 0.01956588080530742, 0.07189540926505725, -0.1873649716316188, -0.0044085069920847325, -0.2026341912041474, -0.1908733725720823, -0.11176928134871739, 0.07218126447354774, -0.07504263654523949, -0.15646889438353928, 0.3680514189200934, 0.1458318637165685, 0.19414159517144897, -0.01832306480717138, 0.24149057701677898, 0.009372352037828192, 0.08155408052438053, -0.030554435597579987, 0.19362283842587244, 0.12109491834416986, 0.09410741548957252, -0.20865961317516243, 0.13555908363943542, -0.07629777974820609] |
708.3206 | Photonic crystal laser-driven accelerator structures | Laser-driven acceleration holds great promise for significantly improving
accelerating gradient. However, scaling the conventional process of
structure-based acceleration in vacuum down to optical wavelengths requires a
substantially different kind of structure. We require an optical waveguide that
(1) is constructed out of dielectric materials, (2) has transverse size on the
order of a wavelength, and (3) supports a mode with speed-of-light phase
velocity in vacuum. Photonic crystals--structures whose electromagnetic
properties are spatially periodic--can meet these requirements.
We discuss simulated photonic crystal accelerator structures and describe
their properties. We begin with a class of two-dimensional structures which
serves to illustrate the design considerations and trade-offs involved. We then
present a three-dimensional structure, and describe its performance in terms of
accelerating gradient and efficiency. We discuss particle beam dynamics in this
structure, demonstrating a method for keeping a beam confined to the waveguide.
We also discuss material and fabrication considerations. Since accelerating
gradient is limited by optical damage to the structure, the damage threshold of
the dielectric is a critical parameter. We experimentally measure the damage
threshold of silicon for picosecond pulses in the infrared, and determine that
our structure is capable of sustaining an accelerating gradient of 300 MV/m at
1550 nm. Finally, we discuss possibilities for manufacturing these structures
using common microfabrication techniques.
| physics.acc-ph physics.optics | laserdriven acceleration holds great promise for significantly improving accelerating gradient however scaling the conventional process of structurebased acceleration in vacuum down to optical wavelengths requires a substantially different kind of structure we require an optical waveguide that 1 is constructed out of dielectric materials 2 has transverse size on the order of a wavelength and 3 supports a mode with speedoflight phase velocity in vacuum photonic crystalsstructures whose electromagnetic properties are spatially periodiccan meet these requirements we discuss simulated photonic crystal accelerator structures and describe their properties we begin with a class of twodimensional structures which serves to illustrate the design considerations and tradeoffs involved we then present a threedimensional structure and describe its performance in terms of accelerating gradient and efficiency we discuss particle beam dynamics in this structure demonstrating a method for keeping a beam confined to the waveguide we also discuss material and fabrication considerations since accelerating gradient is limited by optical damage to the structure the damage threshold of the dielectric is a critical parameter we experimentally measure the damage threshold of silicon for picosecond pulses in the infrared and determine that our structure is capable of sustaining an accelerating gradient of 300 mvm at 1550 nm finally we discuss possibilities for manufacturing these structures using common microfabrication techniques | [['laserdriven', 'acceleration', 'holds', 'great', 'promise', 'for', 'significantly', 'improving', 'accelerating', 'gradient', 'however', 'scaling', 'the', 'conventional', 'process', 'of', 'structurebased', 'acceleration', 'in', 'vacuum', 'down', 'to', 'optical', 'wavelengths', 'requires', 'a', 'substantially', 'different', 'kind', 'of', 'structure', 'we', 'require', 'an', 'optical', 'waveguide', 'that', '1', 'is', 'constructed', 'out', 'of', 'dielectric', 'materials', '2', 'has', 'transverse', 'size', 'on', 'the', 'order', 'of', 'a', 'wavelength', 'and', '3', 'supports', 'a', 'mode', 'with', 'speedoflight', 'phase', 'velocity', 'in', 'vacuum', 'photonic', 'crystalsstructures', 'whose', 'electromagnetic', 'properties', 'are', 'spatially', 'periodiccan', 'meet', 'these', 'requirements', 'we', 'discuss', 'simulated', 'photonic', 'crystal', 'accelerator', 'structures', 'and', 'describe', 'their', 'properties', 'we', 'begin', 'with', 'a', 'class', 'of', 'twodimensional', 'structures', 'which', 'serves', 'to', 'illustrate', 'the', 'design', 'considerations', 'and', 'tradeoffs', 'involved', 'we', 'then', 'present', 'a', 'threedimensional', 'structure', 'and', 'describe', 'its', 'performance', 'in', 'terms', 'of', 'accelerating', 'gradient', 'and', 'efficiency', 'we', 'discuss', 'particle', 'beam', 'dynamics', 'in', 'this', 'structure', 'demonstrating', 'a', 'method', 'for', 'keeping', 'a', 'beam', 'confined', 'to', 'the', 'waveguide', 'we', 'also', 'discuss', 'material', 'and', 'fabrication', 'considerations', 'since', 'accelerating', 'gradient', 'is', 'limited', 'by', 'optical', 'damage', 'to', 'the', 'structure', 'the', 'damage', 'threshold', 'of', 'the', 'dielectric', 'is', 'a', 'critical', 'parameter', 'we', 'experimentally', 'measure', 'the', 'damage', 'threshold', 'of', 'silicon', 'for', 'picosecond', 'pulses', 'in', 'the', 'infrared', 'and', 'determine', 'that', 'our', 'structure', 'is', 'capable', 'of', 'sustaining', 'an', 'accelerating', 'gradient', 'of', '300', 'mvm', 'at', '1550', 'nm', 'finally', 'we', 'discuss', 'possibilities', 'for', 'manufacturing', 'these', 'structures', 'using', 'common', 'microfabrication', 'techniques']] | [-0.11380182291707686, 0.16110188844274417, -0.045957236199847186, -0.0019095920721604572, -0.05868632301811782, -0.12439036542126, 0.026549515441850146, 0.49138985527458634, -0.25132545920627375, -0.290893117972248, 0.07441781532301864, -0.22498611101474594, -0.11898755477697222, 0.23055921782468008, -0.010055987164378166, 0.08746427908993296, 0.012925303558779272, -0.052546744040650496, -0.0672784051019257, -0.174643455041237, 0.2803177816563802, 0.11786657682800956, 0.326022642334676, 0.0744950146060128, 0.12447682340845677, -0.030478911260275337, 0.03105679439113589, -0.002013914351091142, -0.13003761285147133, 0.11848961339598098, 0.21521739223232642, 0.07229800261137787, 0.27595255704060356, -0.4484518639637396, -0.2402958525444041, 0.06030586214462445, 0.13271750765962975, 0.12670285239102874, -0.10830393245595979, -0.21148495926848343, 0.07689584795136216, -0.12137131981322127, -0.20085323114561632, -0.07542420981310625, -0.025512981189633344, 0.03703175892477405, -0.2200328010176882, 0.012838613715158528, 0.03428397480932493, 0.040279295128164375, -0.052453026205292456, -0.07580771669745445, 0.030342106366424128, 0.048970876680907764, -0.03539215869248748, -0.00416788768897195, 0.18410651489288957, -0.1564665718902878, -0.11864492321172862, 0.3965662564305474, -0.023832070754048685, -0.1454067865863301, 0.16938618179416212, -0.14248874686190513, -0.051874898504289266, 0.1470478535596705, 0.1823793666815756, 0.07370760930057668, -0.11971763753739376, 0.06552823001361051, 0.060464281642241775, 0.19991633639962222, 0.1036849368476172, 0.07651990786265422, 0.2040902538571542, 0.23775852373823242, 0.03269193716175078, 0.1791574664886211, -0.10919686791628282, -0.04378708446468999, -0.28443719107675325, -0.18466060390139785, -0.1376198751004181, 0.041655896558157074, -0.09949409586081714, -0.1684143281921356, 0.4344820825171202, 0.1591093798004691, 0.15599481882395055, 0.006660767023725285, 0.2931633026590703, 0.0715021093743434, 0.07938719995185221, 0.05827801780757534, 0.3104568131282369, 0.11609210104734517, 0.1188239077794679, -0.23283189442643226, 0.018822942626490414, -0.005127609029888965] |
708.3207 | Potential confinement property in the Parabolic Anderson Model | We consider the parabolic Anderson model, the Cauchy problem for the heat
equation with random potential in $Z^d$. We use i.i.d. potentials $\xi: Z^d \to
\R$ in the third universality class, namely the class of almost bounded
potentials, in the classification of van der Hofstad, Konig and Morters
[HKM06]. This class consists of potentials whose logarithmic moment generating
function is regularly varying with parameter $\gamma=1$, but do not belong to
the class of so-called double-exponentially distributed potentials studied by
Gartner and Molchanov (PTRF 1998).
In [HKM06] the asymptotics of the expected total mass was identified in terms
of a variational problem that is closely connected to the well-known
logarithmic Sobolev inequality and whose solution, unique up to spatial shifts,
is a perfect parabola. In the present paper we show that those potentials whose
shape (after appropriate vertical shifting and spatial rescaling) is away from
that parabola contribute only negligibly to the total mass. The topology used
is the strong $L^1$-topology on compacts for the exponentials of the potential.
In the course of the proof, we show that any sequence of approximate minimisers
of the above variational formula approaches some spatial shift of the
minimiser, the parabola.
| math.PR | we consider the parabolic anderson model the cauchy problem for the heat equation with random potential in zd we use iid potentials xi zd to r in the third universality class namely the class of almost bounded potentials in the classification of van der hofstad konig and morters hkm06 this class consists of potentials whose logarithmic moment generating function is regularly varying with parameter gamma1 but do not belong to the class of socalled doubleexponentially distributed potentials studied by gartner and molchanov ptrf 1998 in hkm06 the asymptotics of the expected total mass was identified in terms of a variational problem that is closely connected to the wellknown logarithmic sobolev inequality and whose solution unique up to spatial shifts is a perfect parabola in the present paper we show that those potentials whose shape after appropriate vertical shifting and spatial rescaling is away from that parabola contribute only negligibly to the total mass the topology used is the strong l1topology on compacts for the exponentials of the potential in the course of the proof we show that any sequence of approximate minimisers of the above variational formula approaches some spatial shift of the minimiser the parabola | [['we', 'consider', 'the', 'parabolic', 'anderson', 'model', 'the', 'cauchy', 'problem', 'for', 'the', 'heat', 'equation', 'with', 'random', 'potential', 'in', 'zd', 'we', 'use', 'iid', 'potentials', 'xi', 'zd', 'to', 'r', 'in', 'the', 'third', 'universality', 'class', 'namely', 'the', 'class', 'of', 'almost', 'bounded', 'potentials', 'in', 'the', 'classification', 'of', 'van', 'der', 'hofstad', 'konig', 'and', 'morters', 'hkm06', 'this', 'class', 'consists', 'of', 'potentials', 'whose', 'logarithmic', 'moment', 'generating', 'function', 'is', 'regularly', 'varying', 'with', 'parameter', 'gamma1', 'but', 'do', 'not', 'belong', 'to', 'the', 'class', 'of', 'socalled', 'doubleexponentially', 'distributed', 'potentials', 'studied', 'by', 'gartner', 'and', 'molchanov', 'ptrf', '1998', 'in', 'hkm06', 'the', 'asymptotics', 'of', 'the', 'expected', 'total', 'mass', 'was', 'identified', 'in', 'terms', 'of', 'a', 'variational', 'problem', 'that', 'is', 'closely', 'connected', 'to', 'the', 'wellknown', 'logarithmic', 'sobolev', 'inequality', 'and', 'whose', 'solution', 'unique', 'up', 'to', 'spatial', 'shifts', 'is', 'a', 'perfect', 'parabola', 'in', 'the', 'present', 'paper', 'we', 'show', 'that', 'those', 'potentials', 'whose', 'shape', 'after', 'appropriate', 'vertical', 'shifting', 'and', 'spatial', 'rescaling', 'is', 'away', 'from', 'that', 'parabola', 'contribute', 'only', 'negligibly', 'to', 'the', 'total', 'mass', 'the', 'topology', 'used', 'is', 'the', 'strong', 'l1topology', 'on', 'compacts', 'for', 'the', 'exponentials', 'of', 'the', 'potential', 'in', 'the', 'course', 'of', 'the', 'proof', 'we', 'show', 'that', 'any', 'sequence', 'of', 'approximate', 'minimisers', 'of', 'the', 'above', 'variational', 'formula', 'approaches', 'some', 'spatial', 'shift', 'of', 'the', 'minimiser', 'the', 'parabola']] | [-0.10906632760054787, 0.09291349951725107, -0.05469381256554379, 0.04823372038693369, -0.04584997853974706, -0.14685036232406945, 0.0337210625227656, 0.34260524340338777, -0.2867445314360648, -0.24254433002284506, 0.07012222617049702, -0.2946039327305079, -0.13164190801530212, 0.16055780607479692, -0.08319441505141326, 0.06482397519638906, 0.009278823920410396, 0.047490929263000636, -0.05945764150897751, -0.24712618574387268, 0.35329961355777995, -0.004957214621923019, 0.21727109038914294, 0.051166110825676896, 0.0734342832415912, 0.01680849710138534, -0.002526168029793759, 0.01308169212557145, -0.16589647296593482, 0.1157273420447138, 0.16827872082634263, 0.04217739609855026, 0.29322035816142855, -0.3454650538243214, -0.18563393678650567, 0.16268953647147671, 0.11315148557947659, 0.062443969677653664, -0.012970527910661028, -0.2810083187746902, 0.07421233737901256, -0.12408227618056417, -0.2008912636845651, -0.029056269409058175, 0.05651015057420531, 0.1051505019782668, -0.2729138784385382, 0.11280834169688721, 0.12128077795820254, 0.0022189624261917526, -0.08999327130822138, -0.11344171882446222, -0.014776145019232459, 0.07790894617000114, 0.041068954280452784, 0.04848837541397085, 0.06878697105981026, -0.10332440786404516, -0.07170206221953496, 0.35453140617290646, -0.0989549583431391, -0.1945387173978703, 0.1404054687951317, -0.1622010340995741, -0.13412644807489338, 0.10798477749436249, 0.12824627518000983, 0.12402276059951077, -0.1513091194726642, 0.16741236692088052, -0.03962316493666971, 0.12875420752715933, 0.11332958407901689, -0.022055434595947106, 0.12388923169910601, 0.08530327799662794, 0.11117618284836296, 0.1373058079535468, -0.06372029396354884, -0.1331337232517136, -0.32799543213212057, -0.11978133088553843, -0.216209729850177, 0.07829130005060525, -0.10947694647193108, -0.23079802472248329, 0.3743340777144431, 0.09353047128755974, 0.19992724957770294, 0.1017642261258797, 0.19480238518720858, 0.13516113651465125, 0.052967926304902616, 0.07700090668660459, 0.20975874264357905, 0.13409174702096655, 0.09772319383751217, -0.1864339000612651, 0.03705473653084032, 0.1360596730208028] |
708.3208 | Mermin inequalities for perfect correlations | Any n-qubit state with n independent perfect correlations is equivalent to a
graph state. We present the optimal Bell inequalities for perfect correlations
and maximal violation for all classes of graph states with n < 7 qubits. Twelve
of them were previously unknown and four give the same violation as the
Greenberger-Horne-Zeilinger state, although the corresponding states are more
resistant to decoherence.
| quant-ph | any nqubit state with n independent perfect correlations is equivalent to a graph state we present the optimal bell inequalities for perfect correlations and maximal violation for all classes of graph states with n 7 qubits twelve of them were previously unknown and four give the same violation as the greenbergerhornezeilinger state although the corresponding states are more resistant to decoherence | [['any', 'nqubit', 'state', 'with', 'n', 'independent', 'perfect', 'correlations', 'is', 'equivalent', 'to', 'a', 'graph', 'state', 'we', 'present', 'the', 'optimal', 'bell', 'inequalities', 'for', 'perfect', 'correlations', 'and', 'maximal', 'violation', 'for', 'all', 'classes', 'of', 'graph', 'states', 'with', 'n', '7', 'qubits', 'twelve', 'of', 'them', 'were', 'previously', 'unknown', 'and', 'four', 'give', 'the', 'same', 'violation', 'as', 'the', 'greenbergerhornezeilinger', 'state', 'although', 'the', 'corresponding', 'states', 'are', 'more', 'resistant', 'to', 'decoherence']] | [-0.15410781737806306, 0.2139476327069073, -0.024886484563228537, 0.09212092208088238, -0.019205106162756194, -0.25388110777912815, 0.05518480710547845, 0.32611173470733595, -0.1833444027659306, -0.33890375752215746, 0.08028177797153103, -0.3455803700890697, -0.019381756985895945, 0.12570451859567985, 0.006798264631604562, 0.14688920738083905, 0.05600919340141728, 0.05316986664213606, -0.07032692279727733, -0.311201446709704, 0.34046483794074567, -0.04267092365160829, 0.27870854386510174, -0.01814682161832442, 0.09652558575979754, 0.004359293790137182, 0.056057661100000634, 0.009559830887334758, -0.08766192048177367, 0.06198776292530667, 0.30135133954100923, 0.1806755176606754, 0.17566476603511905, -0.40831223401989114, -0.13239742092574475, 0.18457809476884174, 0.07688684651597602, 0.2023230716433437, 0.030291412745890603, -0.33127487743594, 0.03845254299765239, -0.1574833566536669, -0.11099613306769093, -0.07480416007217813, 0.08958445010004473, -0.04402706452996516, -0.28951021080806116, 0.1092497061510555, 0.05089563250037857, 0.028724611600380024, 0.01400381148808071, -0.14549910409192815, 0.018072262482687097, 0.13289348188631206, -0.09600387804103314, -0.01587625863183229, 0.06656412874180519, -0.08809792780179958, -0.2386597783197878, 0.30226975279386903, -0.0001155908112643195, -0.21323807318465876, 0.15755835691558534, -0.11713260790852249, -0.13728781325788406, 0.09665897101179131, 0.05483761438947232, 0.09001776145496329, -0.15088755417554106, 0.016383634221770603, -0.10464457643874844, 0.19788203130430373, 0.08180426342840322, 0.18864296191967414, 0.07367007642007264, 0.009484699656270811, 0.15048733136815126, 0.21815948423425682, -0.021736779033118613, -0.08254086918609797, -0.361118187883594, -0.18753018318751796, -0.2029497534300002, 0.12563688767554818, -0.11242859496030819, -0.10435579762198642, 0.4124019582007752, 0.05146942109243608, 0.1516225626692176, 0.05527865350796062, 0.17200675585352984, 0.03762992280420893, 0.012892409304126363, 0.15044454249293834, 0.2547642793201032, 0.19859526265549976, -0.012551058297518824, -0.2179226202157433, 0.11983409135403936, -0.008535705522069188] |
708.3209 | Relativistic Aberration for Accelerating Observers | We investigate the effects of the aberration of light for a uniformly
accelerating observer. The observer we consider is initially at rest with
respect to a luminous spherical object--a star, say--and then starts to move
away with constant acceleration. The main results we derive are the following:
(i) The observer always sees an initial increase of the apparent size of the
object; (ii) The apparent size of the object approaches a non-zero value as the
proper time of the observer goes to infinity. (iii) There exists a critical
value of the acceleration such that the apparent size of the object is always
increasing when the acceleration is super-critical. We show that, while (i) is
a purely non-relativistic effect, (ii) and (iii) are effects of the
relativistic aberration of light and are intimately connected with the
Lorentzian geometry of Minkowksi spacetime. Finally, the examples we present
illustrate that, while more or less negligible in everyday life, the three
effects can be significant in the context of space-flight.
| physics.class-ph gr-qc | we investigate the effects of the aberration of light for a uniformly accelerating observer the observer we consider is initially at rest with respect to a luminous spherical objecta star sayand then starts to move away with constant acceleration the main results we derive are the following i the observer always sees an initial increase of the apparent size of the object ii the apparent size of the object approaches a nonzero value as the proper time of the observer goes to infinity iii there exists a critical value of the acceleration such that the apparent size of the object is always increasing when the acceleration is supercritical we show that while i is a purely nonrelativistic effect ii and iii are effects of the relativistic aberration of light and are intimately connected with the lorentzian geometry of minkowksi spacetime finally the examples we present illustrate that while more or less negligible in everyday life the three effects can be significant in the context of spaceflight | [['we', 'investigate', 'the', 'effects', 'of', 'the', 'aberration', 'of', 'light', 'for', 'a', 'uniformly', 'accelerating', 'observer', 'the', 'observer', 'we', 'consider', 'is', 'initially', 'at', 'rest', 'with', 'respect', 'to', 'a', 'luminous', 'spherical', 'objecta', 'star', 'sayand', 'then', 'starts', 'to', 'move', 'away', 'with', 'constant', 'acceleration', 'the', 'main', 'results', 'we', 'derive', 'are', 'the', 'following', 'i', 'the', 'observer', 'always', 'sees', 'an', 'initial', 'increase', 'of', 'the', 'apparent', 'size', 'of', 'the', 'object', 'ii', 'the', 'apparent', 'size', 'of', 'the', 'object', 'approaches', 'a', 'nonzero', 'value', 'as', 'the', 'proper', 'time', 'of', 'the', 'observer', 'goes', 'to', 'infinity', 'iii', 'there', 'exists', 'a', 'critical', 'value', 'of', 'the', 'acceleration', 'such', 'that', 'the', 'apparent', 'size', 'of', 'the', 'object', 'is', 'always', 'increasing', 'when', 'the', 'acceleration', 'is', 'supercritical', 'we', 'show', 'that', 'while', 'i', 'is', 'a', 'purely', 'nonrelativistic', 'effect', 'ii', 'and', 'iii', 'are', 'effects', 'of', 'the', 'relativistic', 'aberration', 'of', 'light', 'and', 'are', 'intimately', 'connected', 'with', 'the', 'lorentzian', 'geometry', 'of', 'minkowksi', 'spacetime', 'finally', 'the', 'examples', 'we', 'present', 'illustrate', 'that', 'while', 'more', 'or', 'less', 'negligible', 'in', 'everyday', 'life', 'the', 'three', 'effects', 'can', 'be', 'significant', 'in', 'the', 'context', 'of', 'spaceflight']] | [-0.1108590417063125, 0.1641787221754096, -0.08502934661852878, 0.0401768497547714, -0.08066936308041034, -0.14442917766197153, -0.00805274840790733, 0.38440010527421425, -0.23622697007291518, -0.27093722382113167, 0.116009130808468, -0.30012179137116707, -0.08379423969408224, 0.16119722985832796, -0.09377651608431223, -0.03435732754481184, 0.04529599007361046, 0.09091531922444474, -0.08627388031341181, -0.20354463407775478, 0.3548898499007564, 0.08557719717415549, 0.2222994185030097, 0.027568906148123306, 0.10749396531191008, -0.032437246471711596, -0.03577622232061425, 0.0990363372853253, -0.08765390646148284, 0.06276775354792069, 0.1699844753091428, 0.1483763209629304, 0.29691649320330926, -0.3983800931402096, -0.1941512983529076, 0.11637467656727517, 0.15147762004819856, 0.14784926149096886, -0.06035339107238986, -0.25714296273313597, 0.06649074966525205, -0.13135458950078252, -0.2027866524337541, 0.05092535986247041, 0.08529095519788382, 0.030200838939735394, -0.2151593793547008, 0.07220267723087312, 0.09729775986009527, 0.021230337055252364, -0.07955350807765726, -0.06581950046139111, -0.011228467198656646, 0.12324009894300395, 0.09549480996012301, 0.03595626393969103, 0.13565617326431248, -0.13929586610529662, -0.07207782931410049, 0.41771155710633073, -0.05237221644045615, -0.16237459086426875, 0.17678590037110375, -0.1970026385402534, -0.06457085225435837, 0.12531451155749582, 0.16706170594155015, 0.1252540128004578, -0.07507148829883989, 0.07530617074140847, 0.001034794846285566, 0.1460008131760377, 0.04293686900253794, 0.023894891697947482, 0.22213242568995623, 0.14083990608995053, 0.06658757014396009, 0.13714225435836763, -0.12746984024089192, -0.08332993570862837, -0.37072351885811855, -0.1829834761802198, -0.1540281178650486, 0.05516110406620655, -0.1370592485833274, -0.1524579400626929, 0.3502892484752143, 0.1613864743238792, 0.20563549830623698, 0.03844592315088049, 0.30849979115613146, 0.12810806747704812, 0.04379465129004973, 0.11982643505409836, 0.3117969043640897, 0.061661725261861956, 0.08012233321589031, -0.2483499994211853, 0.06250570173497402, 0.0108835524822608] |
708.321 | Effects of fluctuation on alpha-omega dynamo models | We analyse the role of a fluctuating alpha-effect in alpha-omega dynamo
models, and show that there is a mechanism for magnetic field generation, valid
at large scale separation, deriving from the interaction of mean shear and a
fluctuating alpha-effect. It is shown that this effect can act as a dynamo even
in the absence of a mean alpha-effect, and that the timescale for dynamo waves
is strongly affected by the presence of fluctuations.
| astro-ph | we analyse the role of a fluctuating alphaeffect in alphaomega dynamo models and show that there is a mechanism for magnetic field generation valid at large scale separation deriving from the interaction of mean shear and a fluctuating alphaeffect it is shown that this effect can act as a dynamo even in the absence of a mean alphaeffect and that the timescale for dynamo waves is strongly affected by the presence of fluctuations | [['we', 'analyse', 'the', 'role', 'of', 'a', 'fluctuating', 'alphaeffect', 'in', 'alphaomega', 'dynamo', 'models', 'and', 'show', 'that', 'there', 'is', 'a', 'mechanism', 'for', 'magnetic', 'field', 'generation', 'valid', 'at', 'large', 'scale', 'separation', 'deriving', 'from', 'the', 'interaction', 'of', 'mean', 'shear', 'and', 'a', 'fluctuating', 'alphaeffect', 'it', 'is', 'shown', 'that', 'this', 'effect', 'can', 'act', 'as', 'a', 'dynamo', 'even', 'in', 'the', 'absence', 'of', 'a', 'mean', 'alphaeffect', 'and', 'that', 'the', 'timescale', 'for', 'dynamo', 'waves', 'is', 'strongly', 'affected', 'by', 'the', 'presence', 'of', 'fluctuations']] | [-0.21807852716421172, 0.2436091092427912, -0.07615310608804839, 0.1425585959980596, -0.04318425426744435, -0.029782471077975957, -0.02345325430370357, 0.29644345691146917, -0.27084946675761923, -0.3119837781541968, 0.08833886747095376, -0.1907927658510943, -0.17298138249435857, 0.21298860457457908, 0.0004295354249746832, -0.08187772343190361, 0.03552783801928418, 0.019099614468135247, 0.05313874458517777, -0.1660671327645852, 0.3230563107852454, 0.0826852444865524, 0.2630491301876633, 0.03945500632326999, 0.11090954551345682, -0.0678662845533188, 0.005691085750721905, 0.1083748749112838, -0.08206285284790259, 0.004916350102077608, 0.16714868202395075, -0.011525096780020897, 0.27511803052477435, -0.4462118940045164, -0.2790911048268006, 0.07802830038158452, 0.1634709168710325, 0.17141692559808902, -0.08248854935972964, -0.19446039784138333, 0.08292248829790991, -0.12064260975393938, -0.11308011167032057, -0.06346707100890679, 0.05997476300817901, 0.02460663611298963, -0.3917228748690184, 0.16971379410067242, 0.12025642410328943, 0.11964958138151528, -0.10907791341552893, -0.021029616552979163, -0.0687446208536778, 0.09227776325192966, 0.12852159195439253, 0.09428067349713959, 0.1847984504699388, -0.20599456544493466, -0.058156457436207225, 0.3801489737242052, -0.13448855825636077, -0.19617431531724047, 0.164714916826111, -0.19037257269509647, -0.0949588513371777, 0.1272834144175461, 0.18107302461380828, 0.0999330831181309, -0.0841201294902457, 0.03179010347708779, -0.041658522382582705, 0.15488427430263732, 0.006055462110328347, -0.027467297185977846, 0.2688825411900674, 0.20572863115405995, 0.07530152404119503, 0.10355293223864004, -0.1287384135265873, -0.0836072998912367, -0.3292816415148443, -0.050884814173850705, -0.15795484409756858, 0.07599469010832988, -0.06505823165297106, -0.18561745262888182, 0.3726964003904021, 0.22026606585371167, 0.11987895971285306, 0.029208004659628622, 0.257783609429655, 0.14518404954706307, 0.08593968345388157, 0.1409862528631642, 0.33404221890927993, 0.17637993890651796, 0.11216423835299194, -0.3028908694475532, 0.09854141763357241, 0.030093020657460168] |
708.3211 | Monte Carlo study of Bose Laughlin wave function for filling factors
1/2, 1/4 and 1/6 | Strongly correlated two-dimensional electronic systems subject to a
perpendicular magnetic field at lowest Landau level (LLL) filling factors: 1/2,
1/4 and 1/6 are believed to be composite fermion (CF) Fermi liquid phases. Even
though a Bose Laughlin wave function cannot describe these filling factors we
investigate whether such a wave function provides a lower energy bound to the
true CF Fermi liquid energies. By using Monte Carlo simulations in disk
geometry we compute the Bose Laughlin energies and compare them to
corresponding results for the spin-polarized LLL CF Fermi liquid state and
avalable data from literature.We find the unexpected result that, for filling
factors 1/4 and 1/6, the Bose Laughlin ground state energy is practically
identical to the true CF liquid energy while this is not the case at 1/2 where
the Bose Laughlin ground state energy is sizeably lower than the energy of the
CF Fermi liquid state.
| cond-mat.str-el cond-mat.mes-hall | strongly correlated twodimensional electronic systems subject to a perpendicular magnetic field at lowest landau level lll filling factors 12 14 and 16 are believed to be composite fermion cf fermi liquid phases even though a bose laughlin wave function cannot describe these filling factors we investigate whether such a wave function provides a lower energy bound to the true cf fermi liquid energies by using monte carlo simulations in disk geometry we compute the bose laughlin energies and compare them to corresponding results for the spinpolarized lll cf fermi liquid state and avalable data from literaturewe find the unexpected result that for filling factors 14 and 16 the bose laughlin ground state energy is practically identical to the true cf liquid energy while this is not the case at 12 where the bose laughlin ground state energy is sizeably lower than the energy of the cf fermi liquid state | [['strongly', 'correlated', 'twodimensional', 'electronic', 'systems', 'subject', 'to', 'a', 'perpendicular', 'magnetic', 'field', 'at', 'lowest', 'landau', 'level', 'lll', 'filling', 'factors', '12', '14', 'and', '16', 'are', 'believed', 'to', 'be', 'composite', 'fermion', 'cf', 'fermi', 'liquid', 'phases', 'even', 'though', 'a', 'bose', 'laughlin', 'wave', 'function', 'can', 'not', 'describe', 'these', 'filling', 'factors', 'we', 'investigate', 'whether', 'such', 'a', 'wave', 'function', 'provides', 'a', 'lower', 'energy', 'bound', 'to', 'the', 'true', 'cf', 'fermi', 'liquid', 'energies', 'by', 'using', 'monte', 'carlo', 'simulations', 'in', 'disk', 'geometry', 'we', 'compute', 'the', 'bose', 'laughlin', 'energies', 'and', 'compare', 'them', 'to', 'corresponding', 'results', 'for', 'the', 'spinpolarized', 'lll', 'cf', 'fermi', 'liquid', 'state', 'and', 'avalable', 'data', 'from', 'literaturewe', 'find', 'the', 'unexpected', 'result', 'that', 'for', 'filling', 'factors', '14', 'and', '16', 'the', 'bose', 'laughlin', 'ground', 'state', 'energy', 'is', 'practically', 'identical', 'to', 'the', 'true', 'cf', 'liquid', 'energy', 'while', 'this', 'is', 'not', 'the', 'case', 'at', '12', 'where', 'the', 'bose', 'laughlin', 'ground', 'state', 'energy', 'is', 'sizeably', 'lower', 'than', 'the', 'energy', 'of', 'the', 'cf', 'fermi', 'liquid', 'state']] | [-0.14364843462100066, 0.2515459562825264, -0.06208318729116113, 0.14567686480645015, 0.026729737930374857, -0.18021432442228066, 0.11249838185484128, 0.3170540828707834, -0.18744726257161207, -0.3254757308269907, 0.00894998990533711, -0.29799042894636224, -0.06124682101302299, 0.13799920483123537, 0.07461415974098264, 0.04218115642098023, -0.0036796506825559493, -0.02299183109562669, -0.15397926634208817, -0.2631334505737728, 0.3210224680752562, 0.06672070180097182, 0.2984244244785717, 0.08750422394540686, 0.04274019298390579, -7.782560373162663e-05, 0.10350696069669703, -0.021900802928854355, -0.1690050154448672, -0.00456930863070958, 0.29351727715568404, -0.07470970011891284, 0.1978328592775252, -0.3975930977112695, -0.14665589321423447, 0.03389547439917122, 0.12646585297083246, 0.13985292530843627, 0.023167088571560863, -0.2702427907306201, -0.024550953876827188, -0.2205702438763024, -0.1919618966089149, -0.09328783185990065, -0.021712162934287432, -0.006065984298561031, -0.17662549763917923, 0.144019265396633, 0.02927396752115264, 0.007606681356606568, -0.12365543870911652, -0.20074375280985396, -0.047029787271389824, 0.02825618701621315, 0.002281668371733453, 0.1263261820455691, 0.15994356170721702, -0.21103753541571232, -0.09559460111812457, 0.3814187266882634, -0.05975087959799469, -0.17728304722340116, 0.23962341559638314, -0.2082357345003011, -0.08362836314946563, 0.24747817828351218, 0.10087240576719078, -0.02494428079612803, -0.10109998763307629, 0.05801455106433081, -0.08697997532209113, 0.20595352231656144, 0.026552695312205978, 0.032622114345806356, 0.22675913163529546, 0.11327104482662258, 0.07007652384247756, 0.12896043269179336, -0.15149575431738205, -0.08958007443396238, -0.208614104552407, -0.19881125227212218, -0.26140902045607917, 0.0829401680232407, 0.031365926677889296, -0.1521378169555042, 0.3950681993175273, 0.08365712522282172, 0.1524058235871712, -0.011320163631786737, 0.23391404476223027, 0.15739915413694494, -0.004284328795913232, 0.14773395780830226, 0.24135965302324036, 0.1001504875716422, 0.041317462285155516, -0.23532191466621355, -0.02937382351194552, 0.0807330770880584] |
708.3212 | A New Study of the Transition to Uniform Nuclear Matter in Neutron Stars
and Supernovae | A comprehensive microscopic study of the properties of bulk matter at
densities just below nuclear saturation $\rho_s = 2.5 \sim 10^{14}$ g
cm$^{-3}$, zero and finite temperature and high neutron fraction, is outlined,
and preliminary results presented. Such matter is expected to exist in the
inner crust of neutron stars and during the core collapse of massive stars with
$M \gtrsim 8M_{\odot}
| astro-ph nucl-th | a comprehensive microscopic study of the properties of bulk matter at densities just below nuclear saturation rho_s 25 sim 1014 g cm3 zero and finite temperature and high neutron fraction is outlined and preliminary results presented such matter is expected to exist in the inner crust of neutron stars and during the core collapse of massive stars with m gtrsim 8m_odot | [['a', 'comprehensive', 'microscopic', 'study', 'of', 'the', 'properties', 'of', 'bulk', 'matter', 'at', 'densities', 'just', 'below', 'nuclear', 'saturation', 'rho_s', '25', 'sim', '1014', 'g', 'cm3', 'zero', 'and', 'finite', 'temperature', 'and', 'high', 'neutron', 'fraction', 'is', 'outlined', 'and', 'preliminary', 'results', 'presented', 'such', 'matter', 'is', 'expected', 'to', 'exist', 'in', 'the', 'inner', 'crust', 'of', 'neutron', 'stars', 'and', 'during', 'the', 'core', 'collapse', 'of', 'massive', 'stars', 'with', 'm', 'gtrsim', '8m_odot']] | [-0.08601939448033322, 0.311702880153402, -0.03033726147116452, 0.07989916877561538, -0.06385743637859333, -0.00951229458766394, 0.07997169606692967, 0.29704919231475374, -0.1363714528804431, -0.3860367395472331, 0.053262665629249493, -0.3242927306469102, 0.05828550978197304, 0.1597962265215875, 0.025439110187599895, -0.02358064864624719, 0.023376921649839056, 0.06905981738761556, -0.1535591722893544, -0.20376568599451395, 0.28175971966969676, 0.052347466151123165, 0.19175468721106403, 0.09765653684735298, 0.06949260762175087, -0.09685777793409395, 0.01890505501450818, -0.02514403044688897, -0.21689970530264202, -0.057150945036870536, 0.2643423882297805, 0.08329234288272555, 0.2002898805209848, -0.4443222379281384, -0.19809187826563102, 0.06250801061081593, 0.1248542074816393, -0.002818884152430491, -0.08108408951399024, -0.2113934149049589, 0.17580125769447597, -0.24408905319564167, -0.19152110381448856, -0.0038657569112714196, 0.08615511213047583, 0.01514357048636455, -0.21318073134075421, 0.17588652805119875, 0.03314900960101456, 0.01913144103572017, -0.09780979617575153, -0.21429800885714223, -0.03930560207055485, -0.016410225132083307, 0.03307403835513797, 0.09427589209383873, 0.24470002320213396, -0.16109884500915764, 0.0710036149019467, 0.3819440110571316, -0.08572724211167117, 0.021306914994951156, 0.20877316097927387, -0.2721978311816261, -0.14112698620368466, 0.18201523102422962, 0.12512997798927006, 0.1744724536452015, -0.0901158370810454, 0.01365692073433492, -0.004434344916009024, 0.20148495364873137, 0.04770213564033391, 0.041076098087808634, 0.34013415311203626, 0.24134895839484133, 0.008289832320278053, 0.03901909351669496, -0.16179303145494128, -0.022758221436963707, -0.30469146146454285, -0.09484167155794433, -0.14818825917013112, 0.08065340006876676, -0.145451435268681, -0.09027978824451566, 0.2734768461039076, 0.044731304629660046, 0.17714133400653229, -0.0005126380071532531, 0.2663135325200245, 0.07588245080532048, 0.05159377617395071, 0.14003524034604675, 0.27961286073397906, 0.2980636113979777, 0.07262560326537332, -0.2734502013934944, -0.00938493398506744, -0.04503476975455147] |
708.3213 | Continuous Time Random Walks in periodic systems: fluid limit and
fractional differential equations on the circle | In this article, the continuous time random walk on the circle is studied. We
derive the corresponding generalized master equation and discuss the effects of
topology, especially important when Levy flights are allowed. Then, we work out
the fluid limit equation, formulated in terms of the periodic version of the
fractional Riemann-Liouville operators, for which we provide explicit
expressions. Finally, we compute the propagator in some simple cases. The
analysis presented herein should be relevant when investigating anomalous
transport phenomena in systems with periodic dimensions.
| cond-mat.stat-mech | in this article the continuous time random walk on the circle is studied we derive the corresponding generalized master equation and discuss the effects of topology especially important when levy flights are allowed then we work out the fluid limit equation formulated in terms of the periodic version of the fractional riemannliouville operators for which we provide explicit expressions finally we compute the propagator in some simple cases the analysis presented herein should be relevant when investigating anomalous transport phenomena in systems with periodic dimensions | [['in', 'this', 'article', 'the', 'continuous', 'time', 'random', 'walk', 'on', 'the', 'circle', 'is', 'studied', 'we', 'derive', 'the', 'corresponding', 'generalized', 'master', 'equation', 'and', 'discuss', 'the', 'effects', 'of', 'topology', 'especially', 'important', 'when', 'levy', 'flights', 'are', 'allowed', 'then', 'we', 'work', 'out', 'the', 'fluid', 'limit', 'equation', 'formulated', 'in', 'terms', 'of', 'the', 'periodic', 'version', 'of', 'the', 'fractional', 'riemannliouville', 'operators', 'for', 'which', 'we', 'provide', 'explicit', 'expressions', 'finally', 'we', 'compute', 'the', 'propagator', 'in', 'some', 'simple', 'cases', 'the', 'analysis', 'presented', 'herein', 'should', 'be', 'relevant', 'when', 'investigating', 'anomalous', 'transport', 'phenomena', 'in', 'systems', 'with', 'periodic', 'dimensions']] | [-0.1330765701501685, 0.126481076761368, -0.07773821671383783, 0.10140438400866354, -0.05793416473795386, -0.13265384292120444, 0.03176700226852999, 0.33605725070571196, -0.25124067337361766, -0.21919831562349024, 0.1527240244890837, -0.2468975446515662, -0.22870170390781233, 0.20077031405149576, -0.06052155400188092, 0.07157357195392251, 0.02575673556283993, 0.04026304706691436, -0.057666764890446386, -0.22998296353308595, 0.3128142765558818, 0.011491172622396227, 0.2194089989451801, 0.05806030528072049, 0.1070485549266724, 0.024442023674354833, -0.08394669374341474, 0.016493653817087763, -0.20969639456666567, 0.0689810575259959, 0.2171574080362916, -0.02551596733631895, 0.2311893014346852, -0.446258333741742, -0.22010708735050524, 0.11793513814096941, 0.16445139674469827, 0.10383272489176734, -0.010730818698785323, -0.3068424049217035, 0.021813320428790414, -0.13729035883922788, -0.19181590012363706, -0.09548827498493825, 0.05524554340278401, 0.04957117624306942, -0.2398786012631129, 0.08588606970494285, 0.0483962646795108, 0.01938488369478899, -0.09265454399454243, -0.11046725474024081, 0.03134800881585654, 0.10778945644783294, 0.03936733580194414, -0.05944800274994443, 0.08634508857340895, -0.09992732684785391, -0.12248431388836573, 0.3953920908491401, -0.07099622016128919, -0.28766628267133937, 0.13293659347657333, -0.1949542331892778, -0.1743310066542643, 0.061430399360902166, 0.18504545353353025, 0.13690916075206855, -0.21850489003426285, 0.13108371210161268, -0.04484492675675189, 0.06504570693804827, 0.07008885456906522, 0.05179690996951917, 0.13201184872647417, 0.14028636907939526, 0.05909527295734733, 0.1860414742204525, -0.03408924034139251, -0.16871383240556015, -0.35707031935453415, -0.17065217421554468, -0.143737057506052, 0.07171721340787104, -0.10833936538530158, -0.1600017328910968, 0.4004568473381155, 0.17976929883965675, 0.13687445103903026, 0.05353263339219505, 0.24233109816251433, 0.25445732764680595, -0.04329308253329466, 0.08401312840116375, 0.1638563806317774, 0.12660521663834942, 0.14112581332926363, -0.2021062611739206, 0.01747268331511056, 0.13082181683138888] |
708.3214 | 3D N = 1 SYM Chern-Simons theory on the Lattice | We present a method to implement 3-dimensional N = 1 SUSY Yang-Mills theory
(a theory with two real supercharges containing gauge fields and an adjoint
Majorana fermion) on the lattice, including a way to implement the Chern-Simons
term present in this theory. At nonzero Chern-Simons number our implementation
suffers from a sign problem which will make the numerical effort grow
exponentially with volume. We also show that the theory with vanishing
Chern-Simons number is anomalous; its partition function identically vanishes.
| hep-lat hep-th | we present a method to implement 3dimensional n 1 susy yangmills theory a theory with two real supercharges containing gauge fields and an adjoint majorana fermion on the lattice including a way to implement the chernsimons term present in this theory at nonzero chernsimons number our implementation suffers from a sign problem which will make the numerical effort grow exponentially with volume we also show that the theory with vanishing chernsimons number is anomalous its partition function identically vanishes | [['we', 'present', 'a', 'method', 'to', 'implement', '3dimensional', 'n', '1', 'susy', 'yangmills', 'theory', 'a', 'theory', 'with', 'two', 'real', 'supercharges', 'containing', 'gauge', 'fields', 'and', 'an', 'adjoint', 'majorana', 'fermion', 'on', 'the', 'lattice', 'including', 'a', 'way', 'to', 'implement', 'the', 'chernsimons', 'term', 'present', 'in', 'this', 'theory', 'at', 'nonzero', 'chernsimons', 'number', 'our', 'implementation', 'suffers', 'from', 'a', 'sign', 'problem', 'which', 'will', 'make', 'the', 'numerical', 'effort', 'grow', 'exponentially', 'with', 'volume', 'we', 'also', 'show', 'that', 'the', 'theory', 'with', 'vanishing', 'chernsimons', 'number', 'is', 'anomalous', 'its', 'partition', 'function', 'identically', 'vanishes']] | [-0.18504999287402893, 0.20864882884724684, -0.060890737573227174, 0.02496896023402297, -0.09728684825999544, -0.17010888035845342, -0.0027051848842750623, 0.31708245274103897, -0.19630253788885438, -0.29620372791644894, 0.06863915662522888, -0.2945792792435688, -0.2295239598702498, 0.08899870286754603, -0.02884925130896176, 0.03128050137944873, 0.024693605183517632, 0.08709415722685525, -0.11949918259677914, -0.3218483238531088, 0.29096200159173224, -0.05118746572775366, 0.23484967747125537, 0.07206885457699057, 0.11228221656660302, -0.017407007032085822, 0.0063549719067125384, 0.002862269978357267, -0.0907512755090661, 0.10460110043935902, 0.2192642718459232, 0.049440465248602475, 0.1994965826338039, -0.443887054094974, -0.17928864581722626, 0.08535529201543784, 0.14520078843247286, 0.1525365762409601, -0.06657178527410319, -0.23848518477517028, 0.09075921518680981, -0.21554929248788218, -0.17989317870763707, -0.1139094373623876, -0.016554091287823983, -0.13582463861926447, -0.2799261937719546, 0.06217663106471713, -0.058929207084900875, 0.04468647334017331, 0.0014172794365123669, -0.11567931224981064, -0.0275327311386649, 0.06695714141419039, 0.1293249951080195, 0.08909024781535697, 0.0911195159630402, -0.16311389631061238, -0.12660598324588204, 0.36290384282555455, -0.09886036756672437, -0.28001565582861626, 0.1760605495022256, -0.12448205887281065, -0.17244969280672412, 0.10771461498416678, 0.12449293386167552, 0.13686177397995622, -0.04835604995347654, 0.22255086629943263, -0.06775167572630357, 0.17933239758344768, 0.02727452375560622, 0.014025986778160816, 0.22966031598139414, 0.10472963420273382, 0.09723282730371892, 0.1464511726598279, -0.009321246882664818, -0.10454938264823035, -0.4132454463905549, -0.1601856720185827, -0.20722717214139957, 0.13180092553596331, -0.09600483363216501, -0.22508950691811647, 0.33322545354360644, 0.17772415934036237, 0.17064798194207723, 0.14107336098463805, 0.29454782612833985, 0.12944829195908777, 0.07464502920997859, 0.0343170416824331, 0.14869941849500248, 0.1624166564102273, 0.09555219706218643, -0.27043909571557956, -0.14463768354793893, 0.18382827857659564] |
708.3215 | Cumulative hard X-ray spectrum of local AGN: a link to the cosmic X-ray
background | We determine the cumulative spectral energy distribution (SED) of local AGN
in the 3-300 keV band and compare it with the spectrum of the cosmic X-ray
background (CXB) in order to test the widely accepted paradigm that the CXB is
a superposition of AGN and to place constraints on AGN evolution. We performed
a stacking analysis of the hard X-ray spectra of AGN detected in two recent
all-sky surveys, performed by the IBIS/ISGRI instrument aboard INTEGRAL and by
the PCA instrument aboard RXTE, taking into account the space densities of AGN
with different luminosities and absorption column densities. We derived the
collective SED of local AGN in the 3-300 keV energy band. Those AGN with
luminosities below 10^43.5 erg/s (17-60 keV) provide the main contribution to
the local volume hard X-ray emissivity, at least 5 times more than more
luminous objects. The cumulative spectrum exhibits (although with marginal
significance) a cutoff at energies above 100-200 keV and is consistent with the
CXB spectrum if AGN evolve over cosmic time in such a way that the SED of their
collective high-energy emission has a constant shape and the relative fraction
of obscured AGN remains nearly constant, while the AGN luminosity density
undergoes strong evolution between z~1 and z=0, a scenario broadly consistent
with results from recent deep X-ray surveys. The first direct comparison
between the collective hard X-ray SED of local AGN and the CXB spectrum
demonstrates that the popular concept of the CXB being a superposition of AGN
is generally correct. By repeating this test using improved AGN statistics from
current and future hard X-ray surveys, it should be possible to tighten the
constraints on the cosmic history of black hole growth.
| astro-ph | we determine the cumulative spectral energy distribution sed of local agn in the 3300 kev band and compare it with the spectrum of the cosmic xray background cxb in order to test the widely accepted paradigm that the cxb is a superposition of agn and to place constraints on agn evolution we performed a stacking analysis of the hard xray spectra of agn detected in two recent allsky surveys performed by the ibisisgri instrument aboard integral and by the pca instrument aboard rxte taking into account the space densities of agn with different luminosities and absorption column densities we derived the collective sed of local agn in the 3300 kev energy band those agn with luminosities below 10435 ergs 1760 kev provide the main contribution to the local volume hard xray emissivity at least 5 times more than more luminous objects the cumulative spectrum exhibits although with marginal significance a cutoff at energies above 100200 kev and is consistent with the cxb spectrum if agn evolve over cosmic time in such a way that the sed of their collective highenergy emission has a constant shape and the relative fraction of obscured agn remains nearly constant while the agn luminosity density undergoes strong evolution between z1 and z0 a scenario broadly consistent with results from recent deep xray surveys the first direct comparison between the collective hard xray sed of local agn and the cxb spectrum demonstrates that the popular concept of the cxb being a superposition of agn is generally correct by repeating this test using improved agn statistics from current and future hard xray surveys it should be possible to tighten the constraints on the cosmic history of black hole growth | [['we', 'determine', 'the', 'cumulative', 'spectral', 'energy', 'distribution', 'sed', 'of', 'local', 'agn', 'in', 'the', '3300', 'kev', 'band', 'and', 'compare', 'it', 'with', 'the', 'spectrum', 'of', 'the', 'cosmic', 'xray', 'background', 'cxb', 'in', 'order', 'to', 'test', 'the', 'widely', 'accepted', 'paradigm', 'that', 'the', 'cxb', 'is', 'a', 'superposition', 'of', 'agn', 'and', 'to', 'place', 'constraints', 'on', 'agn', 'evolution', 'we', 'performed', 'a', 'stacking', 'analysis', 'of', 'the', 'hard', 'xray', 'spectra', 'of', 'agn', 'detected', 'in', 'two', 'recent', 'allsky', 'surveys', 'performed', 'by', 'the', 'ibisisgri', 'instrument', 'aboard', 'integral', 'and', 'by', 'the', 'pca', 'instrument', 'aboard', 'rxte', 'taking', 'into', 'account', 'the', 'space', 'densities', 'of', 'agn', 'with', 'different', 'luminosities', 'and', 'absorption', 'column', 'densities', 'we', 'derived', 'the', 'collective', 'sed', 'of', 'local', 'agn', 'in', 'the', '3300', 'kev', 'energy', 'band', 'those', 'agn', 'with', 'luminosities', 'below', '10435', 'ergs', '1760', 'kev', 'provide', 'the', 'main', 'contribution', 'to', 'the', 'local', 'volume', 'hard', 'xray', 'emissivity', 'at', 'least', '5', 'times', 'more', 'than', 'more', 'luminous', 'objects', 'the', 'cumulative', 'spectrum', 'exhibits', 'although', 'with', 'marginal', 'significance', 'a', 'cutoff', 'at', 'energies', 'above', '100200', 'kev', 'and', 'is', 'consistent', 'with', 'the', 'cxb', 'spectrum', 'if', 'agn', 'evolve', 'over', 'cosmic', 'time', 'in', 'such', 'a', 'way', 'that', 'the', 'sed', 'of', 'their', 'collective', 'highenergy', 'emission', 'has', 'a', 'constant', 'shape', 'and', 'the', 'relative', 'fraction', 'of', 'obscured', 'agn', 'remains', 'nearly', 'constant', 'while', 'the', 'agn', 'luminosity', 'density', 'undergoes', 'strong', 'evolution', 'between', 'z1', 'and', 'z0', 'a', 'scenario', 'broadly', 'consistent', 'with', 'results', 'from', 'recent', 'deep', 'xray', 'surveys', 'the', 'first', 'direct', 'comparison', 'between', 'the', 'collective', 'hard', 'xray', 'sed', 'of', 'local', 'agn', 'and', 'the', 'cxb', 'spectrum', 'demonstrates', 'that', 'the', 'popular', 'concept', 'of', 'the', 'cxb', 'being', 'a', 'superposition', 'of', 'agn', 'is', 'generally', 'correct', 'by', 'repeating', 'this', 'test', 'using', 'improved', 'agn', 'statistics', 'from', 'current', 'and', 'future', 'hard', 'xray', 'surveys', 'it', 'should', 'be', 'possible', 'to', 'tighten', 'the', 'constraints', 'on', 'the', 'cosmic', 'history', 'of', 'black', 'hole', 'growth']] | [-0.014328984912742483, 0.10881623501578967, -0.08478460612653999, 0.16724553584461332, -0.09096883237031651, -0.056178647289977325, 0.045001121185033036, 0.4879789385227949, -0.15757006334127688, -0.3675390549601842, 0.03993972387793969, -0.3417658614959066, 0.03448993280564653, 0.2093392091431379, 0.015593924311960631, -0.005130685580723444, -0.0025744755202920856, -0.11783233430665498, -0.03109037745946272, -0.26195761360845643, 0.2810382742041735, 0.17129001788281445, 0.22187224772580444, -0.014084281779640743, 0.10535105121576273, -0.03362319920846638, -0.10000392831267511, -0.005513455365071938, -0.11464277938687295, 0.07381319996805082, 0.28147472772526005, 0.12956247722204933, 0.2069045996296728, -0.3396215001319317, -0.23866954504129154, 0.09897031634880878, 0.13698351398813835, -0.03942463726939713, 0.006427181194720506, -0.21915848537988908, 0.03027514519986485, -0.22165534501327266, -0.12916427561583935, 0.05066369259639161, 0.00753068932041473, 0.022199878636714573, -0.16407201484882716, 0.15955325579687668, 0.00879336499740846, 0.03674233315598405, -0.1719354765129718, -0.07144446884024333, -0.04633745944939871, 0.04894960916218024, 0.0817273920608341, 0.06370298887589775, 0.18973960016824384, -0.1474511223722989, -0.08563009216549232, 0.36981271950409134, -0.03518511801166501, 0.0672026016164888, 0.17715576305863256, -0.22426674624488868, -0.1942510564179087, 0.22181620111305875, 0.1247967976502123, 0.08793930883799243, -0.13864509190980953, 0.042974918500102516, 0.00045465222924802426, 0.2967225270934489, -0.0034647126940528183, 0.05747035441008654, 0.31851668924370663, 0.10367455316958486, 0.07085853702709052, 0.12334332877628881, -0.21550365715413122, 0.00537507547910246, -0.2713359258358915, -0.033917868405032296, -0.16956676817903665, 0.14254118331603982, -0.13224369697075655, -0.11349062832131823, 0.3838580824675844, 0.08376593288060621, 0.21588979088800384, 0.07247614831967504, 0.34326472846091005, 0.1150944820592421, 0.06294836461501103, 0.10529703694950551, 0.33876960425380065, 0.13665943154454205, 0.09115328503019632, -0.2363830180607525, 0.03488183634624823, 0.01750899848102176] |
708.3216 | Robust creation of arbitrary-sized Dicke states using a single laser
pulse | We propose a novel technique for the creation of maximally entangled
symmetric Dicke states in an ion trap using adiabatic passage, which requires
only a pair of chirped pulses from a single laser and is applicable to any
number of ions and excitations. By utilising a particular factorisation of the
Hilbert space for multi-level ladders we show that the problem can be reduced
to `bow-tie' configuration energy-level crossings. This technique is naturally
robust against fluctuations in the laser intensity and the chirp rate. Even
when realistic heating rates are considered, we estimate that the overall
fidelity should remain high (e.g. 98% for a ten-ion Dicke state), which
represents a significant improvement over traditional approaches.
| quant-ph | we propose a novel technique for the creation of maximally entangled symmetric dicke states in an ion trap using adiabatic passage which requires only a pair of chirped pulses from a single laser and is applicable to any number of ions and excitations by utilising a particular factorisation of the hilbert space for multilevel ladders we show that the problem can be reduced to bowtie configuration energylevel crossings this technique is naturally robust against fluctuations in the laser intensity and the chirp rate even when realistic heating rates are considered we estimate that the overall fidelity should remain high eg 98 for a tenion dicke state which represents a significant improvement over traditional approaches | [['we', 'propose', 'a', 'novel', 'technique', 'for', 'the', 'creation', 'of', 'maximally', 'entangled', 'symmetric', 'dicke', 'states', 'in', 'an', 'ion', 'trap', 'using', 'adiabatic', 'passage', 'which', 'requires', 'only', 'a', 'pair', 'of', 'chirped', 'pulses', 'from', 'a', 'single', 'laser', 'and', 'is', 'applicable', 'to', 'any', 'number', 'of', 'ions', 'and', 'excitations', 'by', 'utilising', 'a', 'particular', 'factorisation', 'of', 'the', 'hilbert', 'space', 'for', 'multilevel', 'ladders', 'we', 'show', 'that', 'the', 'problem', 'can', 'be', 'reduced', 'to', 'bowtie', 'configuration', 'energylevel', 'crossings', 'this', 'technique', 'is', 'naturally', 'robust', 'against', 'fluctuations', 'in', 'the', 'laser', 'intensity', 'and', 'the', 'chirp', 'rate', 'even', 'when', 'realistic', 'heating', 'rates', 'are', 'considered', 'we', 'estimate', 'that', 'the', 'overall', 'fidelity', 'should', 'remain', 'high', 'eg', '98', 'for', 'a', 'tenion', 'dicke', 'state', 'which', 'represents', 'a', 'significant', 'improvement', 'over', 'traditional', 'approaches']] | [-0.11988469220252823, 0.19724952372368446, -0.04791387519181038, 0.054064606511100004, 0.01777512523081912, -0.16574830515722258, 0.061701598369096104, 0.4303100478270841, -0.2316163883841209, -0.2675786170885956, 0.048215620126987324, -0.22358165836719945, -0.07102311857969838, 0.2311799508989253, -0.0506309938402764, 0.05176714851430296, 0.09704374803840059, -0.005759196768028546, -0.05074244677563058, -0.19789798231898453, 0.3114012609343086, 0.07028986842462183, 0.3015777570467475, 0.022782802252115403, 0.10718704203753608, 0.04159366704350486, 0.08057065251225655, -0.009288581232674238, -0.06334459258975415, 0.10569622038412362, 0.25805698812988676, 0.09257094995984066, 0.27346605848751765, -0.39896672983876375, -0.22604937309943204, 0.10633673884831699, 0.1600197805651923, 0.2254395539320148, -0.055531780614591804, -0.2932227550474185, 0.015718504307437195, -0.20312164265629465, -0.10958551446107768, -0.10167864403909946, 0.0014472096247713914, 0.01088614751939225, -0.3330422105732275, 0.062343460272799814, 0.05523729610124982, -0.0007035746033080911, -0.01719656428404614, -0.033003297604031166, 0.0038369948423541754, 0.05267147236401668, -0.05619884334685924, 0.038278423337290576, 0.13786099661982296, -0.10287157153150281, -0.1413212709759354, 0.36959158509673007, -0.09728430816852199, -0.17332960763303315, 0.15479926695733998, -0.13623187335339926, -0.0737291300170684, 0.1730518248591539, 0.1324804801152879, 0.1230195132393258, -0.09099326033283754, 0.037230999497964615, -0.0073954194487459895, 0.22687554827019335, 0.09310475594685537, 0.07697433312153737, 0.19877122854401844, 0.14766158566983267, 0.0843006052258136, 0.18250214378259338, -0.12204632496840395, -0.09320860880476513, -0.24847762458916522, -0.14315454800514324, -0.1896986289122925, 0.05269446887644585, -0.06667484083396807, -0.14200180937099247, 0.42215792379399714, 0.13388968335126683, 0.16614454115979968, 0.0014866603501305906, 0.30625828525331694, 0.15345364902992692, 0.03730005006083345, 0.059440067211017675, 0.23024532955502514, 0.10363050616362783, 0.041658378442114764, -0.2433786201064137, 0.029915611434777358, 0.0197486999584774] |
708.3217 | Dijet Cross Sections and Parton Densities in Diffractive DIS at HERA | Differential dijet cross sections in diffractive deep-inelastic scattering
are measured with the H1 detector at HERA using an integrated luminosity of
51.5 pb-1. The selected events are of the type ep --> eXY, where the system X
contains at least two jets and is well separated in rapidity from the low mass
proton dissociation system Y. The dijet data are compared with QCD predictions
at next-to-leading order based on diffractive parton distribution functions
previously extracted from measurements of inclusive diffractive deep-inelastic
scattering. The prediction describes the dijet data well at low and
intermediate zpom (the fraction of the momentum of the diffractive exchange
carried by the parton entering the hard interaction) where the gluon density is
well determined from the inclusive diffractive data, supporting QCD
factorisation. A new set of diffractive parton distribution functions is
obtained through a simultaneous fit to the diffractive inclusive and dijet
cross sections. This allows for a precise determination of both the diffractive
quark and gluon distributions in the range 0.05<zpom<0.9. In particular, the
precision on the gluon density at high momentum fractions is improved compared
to previous extractions.
| hep-ex | differential dijet cross sections in diffractive deepinelastic scattering are measured with the h1 detector at hera using an integrated luminosity of 515 pb1 the selected events are of the type ep exy where the system x contains at least two jets and is well separated in rapidity from the low mass proton dissociation system y the dijet data are compared with qcd predictions at nexttoleading order based on diffractive parton distribution functions previously extracted from measurements of inclusive diffractive deepinelastic scattering the prediction describes the dijet data well at low and intermediate zpom the fraction of the momentum of the diffractive exchange carried by the parton entering the hard interaction where the gluon density is well determined from the inclusive diffractive data supporting qcd factorisation a new set of diffractive parton distribution functions is obtained through a simultaneous fit to the diffractive inclusive and dijet cross sections this allows for a precise determination of both the diffractive quark and gluon distributions in the range 005zpom09 in particular the precision on the gluon density at high momentum fractions is improved compared to previous extractions | [['differential', 'dijet', 'cross', 'sections', 'in', 'diffractive', 'deepinelastic', 'scattering', 'are', 'measured', 'with', 'the', 'h1', 'detector', 'at', 'hera', 'using', 'an', 'integrated', 'luminosity', 'of', '515', 'pb1', 'the', 'selected', 'events', 'are', 'of', 'the', 'type', 'ep', 'exy', 'where', 'the', 'system', 'x', 'contains', 'at', 'least', 'two', 'jets', 'and', 'is', 'well', 'separated', 'in', 'rapidity', 'from', 'the', 'low', 'mass', 'proton', 'dissociation', 'system', 'y', 'the', 'dijet', 'data', 'are', 'compared', 'with', 'qcd', 'predictions', 'at', 'nexttoleading', 'order', 'based', 'on', 'diffractive', 'parton', 'distribution', 'functions', 'previously', 'extracted', 'from', 'measurements', 'of', 'inclusive', 'diffractive', 'deepinelastic', 'scattering', 'the', 'prediction', 'describes', 'the', 'dijet', 'data', 'well', 'at', 'low', 'and', 'intermediate', 'zpom', 'the', 'fraction', 'of', 'the', 'momentum', 'of', 'the', 'diffractive', 'exchange', 'carried', 'by', 'the', 'parton', 'entering', 'the', 'hard', 'interaction', 'where', 'the', 'gluon', 'density', 'is', 'well', 'determined', 'from', 'the', 'inclusive', 'diffractive', 'data', 'supporting', 'qcd', 'factorisation', 'a', 'new', 'set', 'of', 'diffractive', 'parton', 'distribution', 'functions', 'is', 'obtained', 'through', 'a', 'simultaneous', 'fit', 'to', 'the', 'diffractive', 'inclusive', 'and', 'dijet', 'cross', 'sections', 'this', 'allows', 'for', 'a', 'precise', 'determination', 'of', 'both', 'the', 'diffractive', 'quark', 'and', 'gluon', 'distributions', 'in', 'the', 'range', '005zpom09', 'in', 'particular', 'the', 'precision', 'on', 'the', 'gluon', 'density', 'at', 'high', 'momentum', 'fractions', 'is', 'improved', 'compared', 'to', 'previous', 'extractions']] | [-0.018309105581279784, 0.18497709338644902, -0.1557480675433325, 0.1550947791319186, 0.0016848663545409165, -0.012049136140823714, -0.015193506464290109, 0.3783164505965143, -0.1823551275983494, -0.24459966401780509, -0.030233622584086767, -0.3859595203765273, 0.0883320637422907, 0.14025481073738935, 0.08726492081125632, 0.1867873619235949, 0.1014719319128488, -0.025543628247629707, -0.05741367780073489, -0.19909141030039082, 0.37122687631034557, 0.043590896063129214, 0.2257924065024731, 0.16629763022682614, 0.1183223492968879, 0.17373283177315776, -0.1255142361965051, -0.07726393057578836, -0.10233405628434553, 0.08530168404457936, 0.29723205902592476, 0.02240035407636212, 0.07021172517852392, -0.3406625290951841, -0.05044149638678446, 0.034603569916454635, 0.14595179878257586, 0.03636382133391228, -0.013013854281956238, -0.2461744427773587, 0.07234327113307312, -0.25553388731008736, -0.10969421842768377, -0.04957116576096877, -0.040730323849274205, 0.02748631236776298, -0.3571138725569729, 0.09669035946621009, -0.11419905935306725, 0.02279422674533906, -0.011890077739966858, -0.23751607942086186, -0.10356619476227512, 0.009054689374829525, 0.07810789265139903, 0.14394328044148583, 0.19213140353519284, -0.21094277438090842, -0.1799727495018784, 0.3512273021351073, 0.005118810087416671, -0.14222915720973467, 0.1309973261928834, -0.2823029651707913, -0.11417082195731075, 0.22447868402615107, 0.2599795067590245, 0.08868159718029407, -0.21604668037729205, 0.09937211067592004, -0.00915509159033552, 0.1880601800075161, 0.10460414647160726, 0.0844129937757527, 0.1625985125728075, 0.2509751853549812, -0.06976746836193523, 0.009616463938444977, -0.17593384378471344, -0.07095773406944222, -0.43948600086375805, -0.04577709092804905, -0.109090990281422, 0.06792995347821498, -0.10318163272671309, -0.10774363421716661, 0.31678312326374963, 0.04553045110277914, 0.35509329693757247, 0.021869659974388982, 0.38039312477336773, 0.14632271733258798, 0.09251806581423756, 0.0556743985186048, 0.2939687966580055, 0.18464101808922603, 0.1831094701304898, -0.20160967643753477, 0.07727453517804735, 0.04646255119153149] |
708.3218 | Fictitious Play in 3x3 Games: the transition between periodic and
chaotic behaviour | In the 60's Shapley provided an example of a two player fictitious game with
periodic behaviour. In this game, player $A$ aims to copy $B$'s behaviour and
player $B$ aims to play one ahead of player $A$. In this paper we generalize
Shapley's example by introducing an external parameter. We show that the
periodic behaviour in Shapley's example at some critical parameter value
disintegrates into unpredictable (chaotic) behaviour, with players dithering a
huge number of times between different strategies. At a further critical
parameter the dynamics becomes periodic again and both players aim to play one
ahead of the other.
We study the dynamics of a two player continuous time bimatrix fictitious
play with the dynamics of a one-parameter family of $3 \times 3$ games that
includes a well-known example of Shapley's as a special case. In this paper we
adopt a geometric (dynamical systems) approach and study the bifurcations of
simple periodic orbits. Here we concentrate on the periodic behaviour, while in
a sequel we shall describe the chaotic behaviour.
| math.DS | in the 60s shapley provided an example of a two player fictitious game with periodic behaviour in this game player a aims to copy bs behaviour and player b aims to play one ahead of player a in this paper we generalize shapleys example by introducing an external parameter we show that the periodic behaviour in shapleys example at some critical parameter value disintegrates into unpredictable chaotic behaviour with players dithering a huge number of times between different strategies at a further critical parameter the dynamics becomes periodic again and both players aim to play one ahead of the other we study the dynamics of a two player continuous time bimatrix fictitious play with the dynamics of a oneparameter family of 3 times 3 games that includes a wellknown example of shapleys as a special case in this paper we adopt a geometric dynamical systems approach and study the bifurcations of simple periodic orbits here we concentrate on the periodic behaviour while in a sequel we shall describe the chaotic behaviour | [['in', 'the', '60s', 'shapley', 'provided', 'an', 'example', 'of', 'a', 'two', 'player', 'fictitious', 'game', 'with', 'periodic', 'behaviour', 'in', 'this', 'game', 'player', 'a', 'aims', 'to', 'copy', 'bs', 'behaviour', 'and', 'player', 'b', 'aims', 'to', 'play', 'one', 'ahead', 'of', 'player', 'a', 'in', 'this', 'paper', 'we', 'generalize', 'shapleys', 'example', 'by', 'introducing', 'an', 'external', 'parameter', 'we', 'show', 'that', 'the', 'periodic', 'behaviour', 'in', 'shapleys', 'example', 'at', 'some', 'critical', 'parameter', 'value', 'disintegrates', 'into', 'unpredictable', 'chaotic', 'behaviour', 'with', 'players', 'dithering', 'a', 'huge', 'number', 'of', 'times', 'between', 'different', 'strategies', 'at', 'a', 'further', 'critical', 'parameter', 'the', 'dynamics', 'becomes', 'periodic', 'again', 'and', 'both', 'players', 'aim', 'to', 'play', 'one', 'ahead', 'of', 'the', 'other', 'we', 'study', 'the', 'dynamics', 'of', 'a', 'two', 'player', 'continuous', 'time', 'bimatrix', 'fictitious', 'play', 'with', 'the', 'dynamics', 'of', 'a', 'oneparameter', 'family', 'of', '3', 'times', '3', 'games', 'that', 'includes', 'a', 'wellknown', 'example', 'of', 'shapleys', 'as', 'a', 'special', 'case', 'in', 'this', 'paper', 'we', 'adopt', 'a', 'geometric', 'dynamical', 'systems', 'approach', 'and', 'study', 'the', 'bifurcations', 'of', 'simple', 'periodic', 'orbits', 'here', 'we', 'concentrate', 'on', 'the', 'periodic', 'behaviour', 'while', 'in', 'a', 'sequel', 'we', 'shall', 'describe', 'the', 'chaotic', 'behaviour']] | [-0.16651909423131517, 0.1143650765878309, -0.13327181074572236, 0.05955887584584869, -0.03700117565887539, -0.18030785030769783, 0.08555757410944118, 0.3520899875612374, -0.26076910275508436, -0.258976557008835, 0.09876610002104651, -0.27658877259376324, -0.22765466646013552, 0.12389472943365748, -0.10600761757967503, 0.00876735866734246, 0.044915055981374276, 0.07218527934740009, 0.0273686367841383, -0.24537982461614566, 0.3405252210904806, -0.0006122388522963077, 0.16536200076766444, -0.025435627422469794, 0.06938731206079934, 0.022516045452514937, 0.022790240281811584, 0.03757089201894681, -0.17471558365697512, 0.03406636845538316, 0.23853966142786176, 0.09354569726727074, 0.3860874314988522, -0.4093620722922115, -0.16029038665985024, 0.15583028947411662, 0.11581105382688213, 0.10697338402908492, -0.05012105868736824, -0.24542981687673143, 0.047468395285548, -0.1732062697301657, -0.1794600228517594, -0.025714602895974242, 0.04020218789708196, 0.004605005331519904, -0.27556436501269105, -0.014535939152085642, 0.08840076449822107, 0.08780511156574153, -0.053615930797232654, -0.07043163793172404, 0.02068678981744363, 0.17643099482721317, 0.05070309267836835, 0.0024112446059347593, 0.11065023418036643, -0.13993920789002195, -0.14991964617940157, 0.38030544549263523, -0.08859724214515644, -0.17755922444208325, 0.17741004943477306, -0.13571864691813482, -0.1699743638392429, 0.09992707798281979, 0.18978528454028376, 0.12954562057724647, -0.11059740490085386, 0.040117568667632206, -0.06529182540960828, 0.15563521081886705, 0.07414473911436896, 0.0010098675919467943, 0.17717639937430446, 0.19811940211149162, 0.12225065111422269, 0.1703247012933362, -0.011777857840006725, -0.19924953688284633, -0.2994904262497095, -0.12661103659979345, -0.10157968883664069, 0.06347492743301891, -0.08744528030335688, -0.16060618530653897, 0.43262372902466517, 0.14313399143740316, 0.20226039472499002, 0.04047964944106619, 0.24806245075734823, 0.08303040905912783, -0.027651168402946114, 0.05814688119013407, 0.18906666459496968, 0.04129001148023278, 0.13136069533110145, -0.22189707109127302, 0.04423627029145844, 0.08461798817104502] |
708.3219 | Doppler Boosting, Superluminal Motion, and the Kinematics of AGN Jets | We discuss results from a decade long program to study the fine-scale
structure and the kinematics of relativistic AGN jets with the aim of better
understanding the acceleration and collimation of the relativistic plasma
forming AGN jets. From the observed distribution of brightness temperature,
apparent velocity, flux density, time variability, and apparent luminosity, the
intrinsic properties of the jets including Lorentz factor, luminosity,
orientation, and brightness temperature are discussed. Special attention is
given to the jet in M87, which has been studied over a wide range of
wavelengths and which, due to its proximity, is observed with excellent spatial
resolution.
Most radio jets appear quite linear, but we also observe curved non-linear
jets and non-radial motions. Sometimes, different features in a given jet
appear to follow the same curved path but there is evidence for ballistic
trajectories as well. The data are best fit with a distribution of Lorentz
factors extending up to gamma ~30 and intrinsic luminosity up to ~10^26 W/Hz.
In general, gamma-ray quasars may have somewhat larger Lorentz factors than non
gamma-ray quasars. Initially the observed brightness temperature near the base
of the jet extend up to ~5x10^13 K which is well in excess of the inverse
Compton limit and corresponds to a large excess of particle energy over
magnetic energy. However, more typically, the observed brightness temperatures
are ~2x10^11 K, i.e., closer to equipartition.
| astro-ph | we discuss results from a decade long program to study the finescale structure and the kinematics of relativistic agn jets with the aim of better understanding the acceleration and collimation of the relativistic plasma forming agn jets from the observed distribution of brightness temperature apparent velocity flux density time variability and apparent luminosity the intrinsic properties of the jets including lorentz factor luminosity orientation and brightness temperature are discussed special attention is given to the jet in m87 which has been studied over a wide range of wavelengths and which due to its proximity is observed with excellent spatial resolution most radio jets appear quite linear but we also observe curved nonlinear jets and nonradial motions sometimes different features in a given jet appear to follow the same curved path but there is evidence for ballistic trajectories as well the data are best fit with a distribution of lorentz factors extending up to gamma 30 and intrinsic luminosity up to 1026 whz in general gammaray quasars may have somewhat larger lorentz factors than non gammaray quasars initially the observed brightness temperature near the base of the jet extend up to 5x1013 k which is well in excess of the inverse compton limit and corresponds to a large excess of particle energy over magnetic energy however more typically the observed brightness temperatures are 2x1011 k ie closer to equipartition | [['we', 'discuss', 'results', 'from', 'a', 'decade', 'long', 'program', 'to', 'study', 'the', 'finescale', 'structure', 'and', 'the', 'kinematics', 'of', 'relativistic', 'agn', 'jets', 'with', 'the', 'aim', 'of', 'better', 'understanding', 'the', 'acceleration', 'and', 'collimation', 'of', 'the', 'relativistic', 'plasma', 'forming', 'agn', 'jets', 'from', 'the', 'observed', 'distribution', 'of', 'brightness', 'temperature', 'apparent', 'velocity', 'flux', 'density', 'time', 'variability', 'and', 'apparent', 'luminosity', 'the', 'intrinsic', 'properties', 'of', 'the', 'jets', 'including', 'lorentz', 'factor', 'luminosity', 'orientation', 'and', 'brightness', 'temperature', 'are', 'discussed', 'special', 'attention', 'is', 'given', 'to', 'the', 'jet', 'in', 'm87', 'which', 'has', 'been', 'studied', 'over', 'a', 'wide', 'range', 'of', 'wavelengths', 'and', 'which', 'due', 'to', 'its', 'proximity', 'is', 'observed', 'with', 'excellent', 'spatial', 'resolution', 'most', 'radio', 'jets', 'appear', 'quite', 'linear', 'but', 'we', 'also', 'observe', 'curved', 'nonlinear', 'jets', 'and', 'nonradial', 'motions', 'sometimes', 'different', 'features', 'in', 'a', 'given', 'jet', 'appear', 'to', 'follow', 'the', 'same', 'curved', 'path', 'but', 'there', 'is', 'evidence', 'for', 'ballistic', 'trajectories', 'as', 'well', 'the', 'data', 'are', 'best', 'fit', 'with', 'a', 'distribution', 'of', 'lorentz', 'factors', 'extending', 'up', 'to', 'gamma', '30', 'and', 'intrinsic', 'luminosity', 'up', 'to', '1026', 'whz', 'in', 'general', 'gammaray', 'quasars', 'may', 'have', 'somewhat', 'larger', 'lorentz', 'factors', 'than', 'non', 'gammaray', 'quasars', 'initially', 'the', 'observed', 'brightness', 'temperature', 'near', 'the', 'base', 'of', 'the', 'jet', 'extend', 'up', 'to', '5x1013', 'k', 'which', 'is', 'well', 'in', 'excess', 'of', 'the', 'inverse', 'compton', 'limit', 'and', 'corresponds', 'to', 'a', 'large', 'excess', 'of', 'particle', 'energy', 'over', 'magnetic', 'energy', 'however', 'more', 'typically', 'the', 'observed', 'brightness', 'temperatures', 'are', '2x1011', 'k', 'ie', 'closer', 'to', 'equipartition']] | [-0.05893625562506107, 0.14866706330365942, -0.08160930077888463, 0.14055254407688617, -0.11171594263654888, -0.09282183559742152, -0.014153281203266886, 0.46817163100237386, -0.18764635323181242, -0.36387995881306234, 0.036315546348576616, -0.2677849482023974, 0.02528366403196726, 0.20488603613512965, -0.013192001221141893, 0.02498116362543793, 0.0008032846840490636, -0.026875593729384587, -0.07625121032827321, -0.18086697495483237, 0.274014087667558, 0.12955150232786158, 0.23192315606355438, 0.03453872660420051, 0.0957724156737401, -0.08569770263663183, -0.062406098437413834, 0.04365204109630564, -0.10126359553173084, 0.038761073374189436, 0.2488762705572554, 0.054566511540702266, 0.19823299097340186, -0.35590258526836377, -0.22505604561146147, 0.07605768407678656, 0.15005394023957483, 0.02655070977491784, -0.002879093942426966, -0.23369856486750537, 0.042382589388197583, -0.172403289188974, -0.18331425342087945, 0.025510289510221856, 0.06414162246673777, 0.013084476266317722, -0.19617647726191903, 0.13379794130908026, 0.05584272310264631, 0.06654024138033651, -0.06424545416385834, -0.08606540967696019, -0.04658612598289262, 0.043281584257145594, 0.12517893859879686, 0.09645079918412018, 0.1765581620979662, -0.16907782867201604, -0.09772435497909196, 0.41249166663813713, -0.020450900590954564, -0.03756995602273954, 0.22919070751716694, -0.2689946613809617, -0.11931637089736269, 0.22062274269921003, 0.1976374035758342, 0.077969769271205, -0.13768613735354798, 0.016681529089334634, -0.026622461100423447, 0.15534966652845278, 0.0739084217113263, 0.07898622654146605, 0.25357475155329956, 0.12573444458100488, 0.04374504452349165, 0.09332155769899193, -0.20172510275069885, -0.03360239004822481, -0.29441472992000756, -0.08581792080382768, -0.12193027801919941, 0.12629401323736825, -0.11609930624412332, -0.11930872865527738, 0.38351764383709486, 0.1008093299414644, 0.254304889583421, 0.03859053763995977, 0.2732081820518432, 0.1198973782935482, 0.10927425339213458, 0.1823673733316562, 0.312259558351351, 0.17437555320691644, 0.11135400932899006, -0.2150523902903507, 0.0457285799850963, -0.01681859660566899] |
708.322 | Optimal strategies in the average consensus problem | We prove that for a set of communicating agents to compute the average of
their initial positions (average consensus problem), the optimal topology of
communication is given by a de Bruijn's graph. Consensus is then reached in a
finitely many steps. A more general family of strategies, constructed by block
Kronecker products, is investigated and compared to Cayley strategies.
| cs.MA cs.NI math.OC | we prove that for a set of communicating agents to compute the average of their initial positions average consensus problem the optimal topology of communication is given by a de bruijns graph consensus is then reached in a finitely many steps a more general family of strategies constructed by block kronecker products is investigated and compared to cayley strategies | [['we', 'prove', 'that', 'for', 'a', 'set', 'of', 'communicating', 'agents', 'to', 'compute', 'the', 'average', 'of', 'their', 'initial', 'positions', 'average', 'consensus', 'problem', 'the', 'optimal', 'topology', 'of', 'communication', 'is', 'given', 'by', 'a', 'de', 'bruijns', 'graph', 'consensus', 'is', 'then', 'reached', 'in', 'a', 'finitely', 'many', 'steps', 'a', 'more', 'general', 'family', 'of', 'strategies', 'constructed', 'by', 'block', 'kronecker', 'products', 'is', 'investigated', 'and', 'compared', 'to', 'cayley', 'strategies']] | [-0.19242730290605292, 0.08062165893488012, -0.08594277138048309, 0.057658049903446966, -0.043879055137888104, -0.1585394241610321, 0.08934488451755526, 0.4052225411317106, -0.3038037382697655, -0.2676366251435573, 0.1283095406301288, -0.2350614943494231, -0.1310468059392267, 0.14849862910144157, -0.11825067598088565, 0.06219032956129414, 0.10208335617494027, 0.11792362591851566, -0.02130665297430577, -0.32334266163623826, 0.31225424561396997, 0.03457767944151567, 0.2563508764699583, -0.03347066680948108, 0.15038884538462607, 0.022755134929666073, -0.03956655092474263, 0.050737709990876206, -0.1458382669495176, 0.12766032088824183, 0.30337814500523824, 0.17915761112472264, 0.3119541071355343, -0.3915598243159258, -0.14262737491625851, 0.19143106673165397, 0.14845020912777065, 0.11548227161737316, -0.011831698932544864, -0.2783988652182585, 0.152492554132211, -0.18294748903836233, -0.09386802830149309, -0.004288585398788169, 0.06256628833648006, 0.04422865763811742, -0.3032263951786494, -0.024643870907188472, 0.041968056127050166, 0.04855214916090718, -0.01854238337126829, -0.12340267074996826, -0.01912593306042254, 0.13261850110365678, -0.029659172484524928, -0.01658855174999621, 0.1295383406597805, -0.0939201913710873, -0.183951502563274, 0.3514406831522662, 0.0014192846177493112, -0.20994765827357295, 0.10884424840431597, -0.047324800832291784, -0.14945196230911603, 0.11145042183698486, 0.15261231598018085, 0.14997918520249048, -0.1469747181784488, 0.09812995717146482, -0.06415990552217779, 0.12460694250540208, 0.10329368151724339, -0.008057871986362073, 0.1116035518441665, 0.14385522177474477, 0.1845932818102745, 0.13179585353423984, 0.06077445423135818, -0.12813522279957087, -0.22915825386673716, -0.1427473196507258, -0.21442070331866458, 0.053403789501132094, -0.13318760100711666, -0.16438738322201168, 0.3943509591459218, 0.09566004061282186, 0.15362335735995133, 0.15105312737494203, 0.2446571187889677, 0.061164283112995724, -0.010184385202098953, 0.12889526463192652, 0.16311668775880994, 0.1357365110968003, 0.03500352124288931, -0.14894179564726073, 0.11210181035685464, 0.11417021660797172] |
708.3221 | Transient and Highly Polarized Double-Peaked H-alpha Emission in the
Seyfert 2 Nucleus of NGC 2110 | We have discovered an extremely broad, double-peaked H-alpha emission line in
the polarized flux spectrum of NGC 2110, establishing that this well-studied
Seyfert 2 galaxy contains a disk-like hidden broad-line region (BLR). Several
properties of NGC 2110 suggest that it is an obscured twin of Arp 102B, the
prototypical double-peaked emission-line active galactic nucleus (AGN). A
comparison between our data and previous spectra of NGC 2110 indicates that the
double-peaked H-alpha feature is transient. The presence of a disk-like BLR in
NGC 2110 has important implications for AGNs: it expands the range of
properties exhibited by Seyfert 2 galaxies, and the fact that the BLR is
obscured by a torus-like structure provides the first evidence that
double-peaked emitters and classical Seyfert nuclei may have the same basic
parsec-scale geometry.
| astro-ph | we have discovered an extremely broad doublepeaked halpha emission line in the polarized flux spectrum of ngc 2110 establishing that this wellstudied seyfert 2 galaxy contains a disklike hidden broadline region blr several properties of ngc 2110 suggest that it is an obscured twin of arp 102b the prototypical doublepeaked emissionline active galactic nucleus agn a comparison between our data and previous spectra of ngc 2110 indicates that the doublepeaked halpha feature is transient the presence of a disklike blr in ngc 2110 has important implications for agns it expands the range of properties exhibited by seyfert 2 galaxies and the fact that the blr is obscured by a toruslike structure provides the first evidence that doublepeaked emitters and classical seyfert nuclei may have the same basic parsecscale geometry | [['we', 'have', 'discovered', 'an', 'extremely', 'broad', 'doublepeaked', 'halpha', 'emission', 'line', 'in', 'the', 'polarized', 'flux', 'spectrum', 'of', 'ngc', '2110', 'establishing', 'that', 'this', 'wellstudied', 'seyfert', '2', 'galaxy', 'contains', 'a', 'disklike', 'hidden', 'broadline', 'region', 'blr', 'several', 'properties', 'of', 'ngc', '2110', 'suggest', 'that', 'it', 'is', 'an', 'obscured', 'twin', 'of', 'arp', '102b', 'the', 'prototypical', 'doublepeaked', 'emissionline', 'active', 'galactic', 'nucleus', 'agn', 'a', 'comparison', 'between', 'our', 'data', 'and', 'previous', 'spectra', 'of', 'ngc', '2110', 'indicates', 'that', 'the', 'doublepeaked', 'halpha', 'feature', 'is', 'transient', 'the', 'presence', 'of', 'a', 'disklike', 'blr', 'in', 'ngc', '2110', 'has', 'important', 'implications', 'for', 'agns', 'it', 'expands', 'the', 'range', 'of', 'properties', 'exhibited', 'by', 'seyfert', '2', 'galaxies', 'and', 'the', 'fact', 'that', 'the', 'blr', 'is', 'obscured', 'by', 'a', 'toruslike', 'structure', 'provides', 'the', 'first', 'evidence', 'that', 'doublepeaked', 'emitters', 'and', 'classical', 'seyfert', 'nuclei', 'may', 'have', 'the', 'same', 'basic', 'parsecscale', 'geometry']] | [-0.023579418760283972, -0.044881875886872424, -0.06270985830531911, 0.14799579682889893, -0.122905843541055, -0.16485290507634365, -0.0151320615812212, 0.569369626484176, -0.05702092481213947, -0.2660385523949815, -0.011750087330601532, -0.27961900612238305, -0.026439119744035164, 0.20046978457578163, -0.019724927187668044, -0.10601487222972304, -0.04696549469056402, -0.21400469468271202, 0.014577281123474818, -0.22032642154954374, 0.32908534569044906, 0.07392573510585425, 0.15854644906786522, -0.05385599340497861, 0.06671230327572616, -0.09154040969559894, -0.027845215918712838, -0.0578059478339833, -0.07376554826697083, 0.0572083287451835, 0.2939420420199979, 0.15463834669253276, 0.23478636689765683, -0.2614478163796571, -0.24501974595883905, 0.048208498976702346, 0.28856981544964766, -0.0295461900092304, -0.08229023876578309, -0.3200902128664329, 0.019376051524210028, -0.1954460079391855, -0.22989197768805217, 0.12634695331428863, 0.1087716279060457, 0.028120412065308225, -0.14205569370564924, 0.15035825987868084, 0.09008185381643734, 0.15513569637844266, -0.15325278072986145, -0.03249225733971382, -0.05675802846049327, 0.022526702446530957, 0.04006360066321844, 0.04586821523505848, 0.24671060856532798, -0.1168958337058389, -0.05612685608988007, 0.3939211143166289, 0.02515400691244881, 0.14408474492067977, 0.2265295217015831, -0.21533342745956466, -0.26019456979724787, 0.23279239290913697, 0.09392491051279254, 0.1410699689277094, -0.07174237772809745, -0.0027726286938305686, -0.20693881154356367, 0.32759534723897893, -0.05201613780313222, 0.1130315412663676, 0.2925524429829661, 0.05504820212115382, 0.006822741767319367, 0.1526757047598272, -0.3075966319365268, -0.016380286350478092, -0.26183362064392185, -0.05202664678569797, -0.09927839961971423, 0.15202559114166703, -0.18665521823254672, -0.08142528115670637, 0.36416731239116007, -0.013007850178188911, 0.2679207680905743, -0.056888265253672764, 0.26632581267852423, 0.026798864359093844, 0.09427803466024325, 0.1752758410013851, 0.4006222799319283, 0.20506215086495577, 0.08070181371182088, -0.2541265309817165, 0.10405084236647731, -0.007056824505589036] |
708.3222 | On the consistency of coset space dimensional reduction | In this letter we consider higher-dimensional Yang-Mills theories and examine
their consistent coset space dimensional reduction. Utilizing a suitable ansatz
and imposing a simple set of constraints we determine the four-dimensional
gauge theory obtained from the reduction of both the higher-dimensional
Lagrangian and the corresponding equations of motion. The two reductions yield
equivalent results and hence they constitute an example of a consistent
truncation.
| hep-th | in this letter we consider higherdimensional yangmills theories and examine their consistent coset space dimensional reduction utilizing a suitable ansatz and imposing a simple set of constraints we determine the fourdimensional gauge theory obtained from the reduction of both the higherdimensional lagrangian and the corresponding equations of motion the two reductions yield equivalent results and hence they constitute an example of a consistent truncation | [['in', 'this', 'letter', 'we', 'consider', 'higherdimensional', 'yangmills', 'theories', 'and', 'examine', 'their', 'consistent', 'coset', 'space', 'dimensional', 'reduction', 'utilizing', 'a', 'suitable', 'ansatz', 'and', 'imposing', 'a', 'simple', 'set', 'of', 'constraints', 'we', 'determine', 'the', 'fourdimensional', 'gauge', 'theory', 'obtained', 'from', 'the', 'reduction', 'of', 'both', 'the', 'higherdimensional', 'lagrangian', 'and', 'the', 'corresponding', 'equations', 'of', 'motion', 'the', 'two', 'reductions', 'yield', 'equivalent', 'results', 'and', 'hence', 'they', 'constitute', 'an', 'example', 'of', 'a', 'consistent', 'truncation']] | [-0.12301823740563123, 0.11254585927986227, -0.07664314094290603, 0.09221830638671236, -0.06122346268239198, -0.11170587331434945, 0.026906035009233165, 0.291882644087309, -0.20156119429157116, -0.26663527705386514, 0.11755134865052241, -0.22553244572191034, -0.16487076782505028, 0.15947044134372845, -0.06808089061814826, 0.029108655799063854, 0.04782465793823576, 0.04126823216211051, -0.16803800037632755, -0.2527173837479495, 0.32740740240114974, -0.002408197018667124, 0.26849149813642725, -0.01012259723211173, 0.16597777108108858, 0.020590384388924576, -0.09400486105005257, 0.08544474317704953, -0.15479260390566196, 0.19244258999242447, 0.18377313201199286, 0.10419251942948904, 0.13607595703797415, -0.446162277716212, -0.21102897546370514, 0.09076403356448282, 0.1355985509144375, 0.16905013536234037, -0.017406577440851834, -0.278705222895951, 0.036100508867093595, -0.19431807398359524, -0.17245204228856892, -0.10807743336772546, -0.05465813401679043, -0.0804227576154517, -0.26245175738586113, 0.05372717279897188, 0.060518880098243244, 0.048860624816370546, -0.12071599421324208, -0.0740407929988578, -0.04635531165331486, 0.055469311781052966, 0.057154496369548724, 0.023794191558408784, 0.07163665482949, -0.16139767183415188, -0.13377444951038342, 0.4247926763491705, -0.07120353819846059, -0.2609058956732042, 0.19155156998021994, -0.06383289324003272, -0.16193572183692595, 0.09415363571315538, 0.13865966413140995, 0.15846263145795092, -0.15019911572744604, 0.18646239656300168, -0.07670334901922615, 0.10939234001853038, 0.09108919449499808, 0.05861240848025773, 0.19298705669643823, 0.11697168252248957, 0.04831086320336908, 0.13749245142753352, -0.00402457266318379, -0.14106122250814224, -0.41368571025668643, -0.13807266644289484, -0.08223335555521771, 0.1007881519253715, -0.15419939237381186, -0.14817597781075165, 0.3464703121499042, 0.11649197757196816, 0.18990799816674553, 0.09166725672548637, 0.18545037755393423, 0.1786687885162337, 0.03801474650026648, 0.03718319871404674, 0.23584291493170895, 0.17124554339170572, 0.0018780220998451114, -0.240704914653179, -0.11700241543439915, 0.1446689557778882] |
708.3223 | Real Zeros and Normal Distribution for statistics on Stirling
permutations defined by Gessel and Stanley | We study Stirling permutations defined by Gessel and Stanley.
We prove that their generating function according to the number of descents
has real roots only. We use that fact to prove that the distribution of these
descents, and other, equidistributed statistics on these objects converge to a
normal distribution.
| math.CO math.PR | we study stirling permutations defined by gessel and stanley we prove that their generating function according to the number of descents has real roots only we use that fact to prove that the distribution of these descents and other equidistributed statistics on these objects converge to a normal distribution | [['we', 'study', 'stirling', 'permutations', 'defined', 'by', 'gessel', 'and', 'stanley', 'we', 'prove', 'that', 'their', 'generating', 'function', 'according', 'to', 'the', 'number', 'of', 'descents', 'has', 'real', 'roots', 'only', 'we', 'use', 'that', 'fact', 'to', 'prove', 'that', 'the', 'distribution', 'of', 'these', 'descents', 'and', 'other', 'equidistributed', 'statistics', 'on', 'these', 'objects', 'converge', 'to', 'a', 'normal', 'distribution']] | [-0.13661669732584636, 0.12635422368742982, -0.12679881823002076, 0.10695524373072751, -0.10524231288106922, -0.06343830220059168, 0.07307471319728968, 0.3615320573503874, -0.3053651912403958, -0.28755740045892947, 0.036233776809685696, -0.3030615318946692, -0.19985948159473435, 0.17754730178347353, -0.15118127148978563, 0.05066989696755701, 0.028311024629035775, 0.031132829385068343, -0.04153900869589831, -0.34043984122726384, 0.34455949681982095, -0.035948792225396146, 0.2634349105575559, -0.04417384505195885, 0.08128980231680433, 0.0037800616641737975, -0.05374395356950711, -0.0012191368650932492, -0.1409775437761932, 0.1144308696824069, 0.2109693185407288, 0.1948350221488853, 0.2393395484862279, -0.3853796259785185, -0.0733820065399822, 0.25061615237167906, 0.1820727629320962, -0.0026672716651644024, -0.03953825197971369, -0.23308611994761289, 0.15150170661128906, -0.1356726415379315, -0.16563131818927976, -0.09711212965146619, 0.09110420250466891, 0.18427905865602803, -0.2222519826181993, 0.013597241488798541, 0.09546648254808114, 0.10316946192131358, 0.04800552206722145, -0.19030385587972645, -0.015139937676413327, 0.10080047434537995, 0.06824956072152269, -0.02252897004862981, 0.07652775852225854, -0.08701079118312621, -0.1220597508078327, 0.31400052344008367, 0.0012763185540632326, -0.217387144434817, 0.10949601639746404, -0.21328793862378415, -0.16012065705596185, 0.05841380806297672, 0.1279661015094239, 0.16210465323255988, -0.030289839820138047, 0.028495115092575397, -0.17900636107945928, 0.06457106016424237, 0.19519529487861662, -0.030201363310750042, 0.14367165384761876, -0.026937135248159876, 0.07963879974749015, 0.18861119590856476, -0.06762610057996092, -0.07406439814640552, -0.2943873926236921, -0.21002606725396247, -0.2708516704602813, 0.08157818787256066, -0.09131669587567354, -0.23241053840943746, 0.40408356329996364, 0.19920509787542479, 0.23551959294958838, 0.22443717404515767, 0.19138012482423564, 0.14514998076673674, 0.04360618768735047, 0.044397003502405025, 0.06084232898999234, 0.20998880262391603, -0.0018826046749493297, -0.15768844889933054, 0.0695611875105117, 0.1628292591063952] |
708.3224 | The Frobenius Problem in a Free Monoid | The classical Frobenius problem is to compute the largest number g not
representable as a non-negative integer linear combination of non-negative
integers x_1, x_2, ..., x_k, where gcd(x_1, x_2, ..., x_k) = 1. In this paper
we consider generalizations of the Frobenius problem to the noncommutative
setting of a free monoid. Unlike the commutative case, where the bound on g is
quadratic, we are able to show exponential or subexponential behavior for an
analogue of g, depending on the particular measure chosen.
| cs.DM math.CO | the classical frobenius problem is to compute the largest number g not representable as a nonnegative integer linear combination of nonnegative integers x_1 x_2 x_k where gcdx_1 x_2 x_k 1 in this paper we consider generalizations of the frobenius problem to the noncommutative setting of a free monoid unlike the commutative case where the bound on g is quadratic we are able to show exponential or subexponential behavior for an analogue of g depending on the particular measure chosen | [['the', 'classical', 'frobenius', 'problem', 'is', 'to', 'compute', 'the', 'largest', 'number', 'g', 'not', 'representable', 'as', 'a', 'nonnegative', 'integer', 'linear', 'combination', 'of', 'nonnegative', 'integers', 'x_1', 'x_2', 'x_k', 'where', 'gcdx_1', 'x_2', 'x_k', '1', 'in', 'this', 'paper', 'we', 'consider', 'generalizations', 'of', 'the', 'frobenius', 'problem', 'to', 'the', 'noncommutative', 'setting', 'of', 'a', 'free', 'monoid', 'unlike', 'the', 'commutative', 'case', 'where', 'the', 'bound', 'on', 'g', 'is', 'quadratic', 'we', 'are', 'able', 'to', 'show', 'exponential', 'or', 'subexponential', 'behavior', 'for', 'an', 'analogue', 'of', 'g', 'depending', 'on', 'the', 'particular', 'measure', 'chosen']] | [-0.186609937828064, 0.09132325340779528, -0.04236634166982885, 0.0474815659227972, -0.11555621783750561, -0.17610005111409685, -0.04351491974039863, 0.3175753453650918, -0.38808785708477866, -0.19650141816013134, 0.07475030339824465, -0.29231103491455984, -0.13828975131484464, 0.1625212441311958, -0.14075225865086302, 0.006116278439152759, -0.005449081677047966, 0.17339896711890992, -0.08938018658843178, -0.30775643274104464, 0.3746861746558585, -0.06686198432595493, 0.1546091478711997, 0.00782026108712531, 0.13786423919149315, 0.036505084801226474, 0.016470477796899967, -0.0036972608799353624, -0.1949406309136882, 0.044699799212722637, 0.29773224478300947, 0.0791649900866338, 0.32448360877923477, -0.3859796620045717, -0.08785602010977574, 0.29330238378726137, 0.15600852138147905, -0.040313816615917646, 0.001115343763301961, -0.19995797585803443, 0.16045983151073018, -0.13897328100835857, -0.106030338551276, -0.014914271039649462, 0.07864718669309066, 0.02578158401705038, -0.3564792159729852, 0.0037618527242627283, 0.11685008047005305, 0.05495397431943088, -0.0011557641645105411, -0.1932988123347362, 0.017187217107185952, 0.04496813429077753, 0.005237313069534512, 0.05430910514834791, 0.05942189393756099, -0.03109854894081274, -0.11900290388327378, 0.36046263825100583, -0.10814662468739045, -0.2573938666102596, 0.05459766514981405, -0.17065709529038614, -0.16417221593348166, 0.05113859658236974, 0.1363059885931225, 0.24495657219384342, -0.011130177475607548, 0.20628779156443974, -0.18095226359004393, 0.12655070557808265, 0.08871123554686514, 0.035909217418147586, 0.1250900863072811, 0.033116696521830864, 0.12048862469740786, 0.17550543930906898, 0.032819112174762174, -0.051260377399814434, -0.35530607999326325, -0.10421684989481807, -0.24133645628507322, 0.19735367864968095, -0.12633562012193486, -0.1908335373736918, 0.32120615439728284, 0.07142113308192422, 0.20308848989840883, 0.14850048973965338, 0.23945263445812787, 0.10800522246893543, -0.02646750567976433, 0.06808682381149712, 0.05523150051251436, 0.20342799046267876, -0.036589815000740766, -0.19090054674933737, 0.03328591589935315, 0.15539665836602068] |
708.3225 | Phase diagram of randomly pinned vortex matter in layered
superconductors: dependence on the details of the point pinning | We study the thermodynamic and structural properties of the superconducting
vortex system in high temperature layered superconductors, with magnetic field
normal to the layers, in the presence of a small concentration of strong random
point pinning defects via numerical minimization of a model free energy
functional in terms of the time-averaged local density of pancake vortices.
Working at constant magnetic induction and point pinning center concentration,
we find that the equilibrium phase at low temperature ($T$) and small pinning
strength ($s$) is a topologically ordered Bragg glass. As $T$ or $s$ is
increased, the Bragg glass undergoes a first order transition to a disordered
phase which we characterize as a ``vortex slush'' with polycrystalline
structure within the layers and interlayer correlations extending to about
twenty layers. This is in contrast with the pinned vortex liquid phase into
which the Bragg glass was found to melt, using the same methods, in the case of
a large concentration of weak pinning centers: that phase was amorphous with
very little interlayer correlation. The value of the second moment of the
random pinning potential at which the Bragg glass melts for a fixed temperature
is very different in the two systems. These results imply that the effects of
random point pinning can not be described only in terms of the second moment of
the pinning potential, and that some of the unresolved contradictions in the
literature concerning the nature of the low $T$ and high $s$ phase in this
system are likely to arise from differences in the nature of the pinning in
different samples, or from assumptions made about the pinning potential.
| cond-mat.supr-con | we study the thermodynamic and structural properties of the superconducting vortex system in high temperature layered superconductors with magnetic field normal to the layers in the presence of a small concentration of strong random point pinning defects via numerical minimization of a model free energy functional in terms of the timeaveraged local density of pancake vortices working at constant magnetic induction and point pinning center concentration we find that the equilibrium phase at low temperature t and small pinning strength s is a topologically ordered bragg glass as t or s is increased the bragg glass undergoes a first order transition to a disordered phase which we characterize as a vortex slush with polycrystalline structure within the layers and interlayer correlations extending to about twenty layers this is in contrast with the pinned vortex liquid phase into which the bragg glass was found to melt using the same methods in the case of a large concentration of weak pinning centers that phase was amorphous with very little interlayer correlation the value of the second moment of the random pinning potential at which the bragg glass melts for a fixed temperature is very different in the two systems these results imply that the effects of random point pinning can not be described only in terms of the second moment of the pinning potential and that some of the unresolved contradictions in the literature concerning the nature of the low t and high s phase in this system are likely to arise from differences in the nature of the pinning in different samples or from assumptions made about the pinning potential | [['we', 'study', 'the', 'thermodynamic', 'and', 'structural', 'properties', 'of', 'the', 'superconducting', 'vortex', 'system', 'in', 'high', 'temperature', 'layered', 'superconductors', 'with', 'magnetic', 'field', 'normal', 'to', 'the', 'layers', 'in', 'the', 'presence', 'of', 'a', 'small', 'concentration', 'of', 'strong', 'random', 'point', 'pinning', 'defects', 'via', 'numerical', 'minimization', 'of', 'a', 'model', 'free', 'energy', 'functional', 'in', 'terms', 'of', 'the', 'timeaveraged', 'local', 'density', 'of', 'pancake', 'vortices', 'working', 'at', 'constant', 'magnetic', 'induction', 'and', 'point', 'pinning', 'center', 'concentration', 'we', 'find', 'that', 'the', 'equilibrium', 'phase', 'at', 'low', 'temperature', 't', 'and', 'small', 'pinning', 'strength', 's', 'is', 'a', 'topologically', 'ordered', 'bragg', 'glass', 'as', 't', 'or', 's', 'is', 'increased', 'the', 'bragg', 'glass', 'undergoes', 'a', 'first', 'order', 'transition', 'to', 'a', 'disordered', 'phase', 'which', 'we', 'characterize', 'as', 'a', 'vortex', 'slush', 'with', 'polycrystalline', 'structure', 'within', 'the', 'layers', 'and', 'interlayer', 'correlations', 'extending', 'to', 'about', 'twenty', 'layers', 'this', 'is', 'in', 'contrast', 'with', 'the', 'pinned', 'vortex', 'liquid', 'phase', 'into', 'which', 'the', 'bragg', 'glass', 'was', 'found', 'to', 'melt', 'using', 'the', 'same', 'methods', 'in', 'the', 'case', 'of', 'a', 'large', 'concentration', 'of', 'weak', 'pinning', 'centers', 'that', 'phase', 'was', 'amorphous', 'with', 'very', 'little', 'interlayer', 'correlation', 'the', 'value', 'of', 'the', 'second', 'moment', 'of', 'the', 'random', 'pinning', 'potential', 'at', 'which', 'the', 'bragg', 'glass', 'melts', 'for', 'a', 'fixed', 'temperature', 'is', 'very', 'different', 'in', 'the', 'two', 'systems', 'these', 'results', 'imply', 'that', 'the', 'effects', 'of', 'random', 'point', 'pinning', 'can', 'not', 'be', 'described', 'only', 'in', 'terms', 'of', 'the', 'second', 'moment', 'of', 'the', 'pinning', 'potential', 'and', 'that', 'some', 'of', 'the', 'unresolved', 'contradictions', 'in', 'the', 'literature', 'concerning', 'the', 'nature', 'of', 'the', 'low', 't', 'and', 'high', 's', 'phase', 'in', 'this', 'system', 'are', 'likely', 'to', 'arise', 'from', 'differences', 'in', 'the', 'nature', 'of', 'the', 'pinning', 'in', 'different', 'samples', 'or', 'from', 'assumptions', 'made', 'about', 'the', 'pinning', 'potential']] | [-0.1493433311793592, 0.21650096130863167, -0.06337589283174933, 0.004916617209821551, -0.018441648306776838, -0.1070354765023925, 0.09318443583958755, 0.3661422808237596, -0.27589029882019805, -0.28503628533138936, 0.06825399805779513, -0.3007505986441636, -0.10037575116721607, 0.10911605259622517, 0.013730618114923753, 0.017687208027884697, -0.045393845080328524, 0.02321352939114475, -0.10160615392474097, -0.22675108112596365, 0.30296546265608004, 0.01757165829046393, 0.31784309567744606, 0.0881199602562406, 0.05131323460564226, -0.015154434728255685, 0.09208772771421876, 0.07868358780761986, -0.13507101969819937, 0.046466226390660254, 0.23080877850349965, -0.06831187566867404, 0.221699924598302, -0.44204692503632004, -0.2287065965269428, 0.08547668793645284, 0.10542071179518087, 0.13680117368934208, -0.05211330218146792, -0.2623569124730985, 0.08861301807207125, -0.09687179157817945, -0.1450914243434264, -0.04587335011787381, 0.009057744568189495, 0.0828382328764923, -0.23919669076658737, 0.1045882767952506, 0.0959574365663942, 0.09383126621485563, -0.0889415889943658, -0.09509793572638657, -0.05410591135871833, 0.07015857416024404, 0.05225665501098204, 0.058488472576823027, 0.15736726505207088, -0.16500268980544477, -0.0565699258310557, 0.35959219405733384, -0.05477233965048886, -0.0961271444319942, 0.19165863068218328, -0.19277573027821787, -0.0968874485132896, 0.1853976738369857, 0.12122059432588128, 0.08269095333873419, -0.12322198741208353, 0.03641839211860627, -0.012580928268039655, 0.1827942841501043, 0.07729623514860035, 0.020092777511688757, 0.24208775924087794, 0.2046021677974139, 0.06467962451279163, 0.1700465490354343, -0.1464077670356509, -0.10178361518079165, -0.2800726512787558, -0.13677116971004255, -0.23712337904769593, 0.035206759508419866, -0.124690433407794, -0.20877719321809432, 0.3587931580407156, 0.14095523491251602, 0.2240028544599512, -0.032745848784163256, 0.22031109436170143, 0.09274468657390367, 0.08392849720800782, 0.030280100367615807, 0.24492935346208822, 0.17337715492493458, 0.13786167994058177, -0.2468015877043467, 0.07101254621798646, 0.03086736225505679] |
708.3226 | A Dichotomy Theorem for General Minimum Cost Homomorphism Problem | In the constraint satisfaction problem ($CSP$), the aim is to find an
assignment of values to a set of variables subject to specified constraints. In
the minimum cost homomorphism problem ($MinHom$), one is additionally given
weights $c_{va}$ for every variable $v$ and value $a$, and the aim is to find
an assignment $f$ to the variables that minimizes $\sum_{v} c_{vf(v)}$. Let
$MinHom(\Gamma)$ denote the $MinHom$ problem parameterized by the set of
predicates allowed for constraints. $MinHom(\Gamma)$ is related to many
well-studied combinatorial optimization problems, and concrete applications can
be found in, for instance, defence logistics and machine learning. We show that
$MinHom(\Gamma)$ can be studied by using algebraic methods similar to those
used for CSPs. With the aid of algebraic techniques, we classify the
computational complexity of $MinHom(\Gamma)$ for all choices of $\Gamma$. Our
result settles a general dichotomy conjecture previously resolved only for
certain classes of directed graphs, [Gutin, Hell, Rafiey, Yeo, European J. of
Combinatorics, 2008].
| cs.LG cs.CC | in the constraint satisfaction problem csp the aim is to find an assignment of values to a set of variables subject to specified constraints in the minimum cost homomorphism problem minhom one is additionally given weights c_va for every variable v and value a and the aim is to find an assignment f to the variables that minimizes sum_v c_vfv let minhomgamma denote the minhom problem parameterized by the set of predicates allowed for constraints minhomgamma is related to many wellstudied combinatorial optimization problems and concrete applications can be found in for instance defence logistics and machine learning we show that minhomgamma can be studied by using algebraic methods similar to those used for csps with the aid of algebraic techniques we classify the computational complexity of minhomgamma for all choices of gamma our result settles a general dichotomy conjecture previously resolved only for certain classes of directed graphs gutin hell rafiey yeo european j of combinatorics 2008 | [['in', 'the', 'constraint', 'satisfaction', 'problem', 'csp', 'the', 'aim', 'is', 'to', 'find', 'an', 'assignment', 'of', 'values', 'to', 'a', 'set', 'of', 'variables', 'subject', 'to', 'specified', 'constraints', 'in', 'the', 'minimum', 'cost', 'homomorphism', 'problem', 'minhom', 'one', 'is', 'additionally', 'given', 'weights', 'c_va', 'for', 'every', 'variable', 'v', 'and', 'value', 'a', 'and', 'the', 'aim', 'is', 'to', 'find', 'an', 'assignment', 'f', 'to', 'the', 'variables', 'that', 'minimizes', 'sum_v', 'c_vfv', 'let', 'minhomgamma', 'denote', 'the', 'minhom', 'problem', 'parameterized', 'by', 'the', 'set', 'of', 'predicates', 'allowed', 'for', 'constraints', 'minhomgamma', 'is', 'related', 'to', 'many', 'wellstudied', 'combinatorial', 'optimization', 'problems', 'and', 'concrete', 'applications', 'can', 'be', 'found', 'in', 'for', 'instance', 'defence', 'logistics', 'and', 'machine', 'learning', 'we', 'show', 'that', 'minhomgamma', 'can', 'be', 'studied', 'by', 'using', 'algebraic', 'methods', 'similar', 'to', 'those', 'used', 'for', 'csps', 'with', 'the', 'aid', 'of', 'algebraic', 'techniques', 'we', 'classify', 'the', 'computational', 'complexity', 'of', 'minhomgamma', 'for', 'all', 'choices', 'of', 'gamma', 'our', 'result', 'settles', 'a', 'general', 'dichotomy', 'conjecture', 'previously', 'resolved', 'only', 'for', 'certain', 'classes', 'of', 'directed', 'graphs', 'gutin', 'hell', 'rafiey', 'yeo', 'european', 'j', 'of', 'combinatorics', '2008']] | [-0.12253495026379824, 0.03798606902982544, -0.04992757584505643, 0.07158692750649956, -0.13366127304004458, -0.16364338035540035, 0.08227552089673014, 0.329418959243832, -0.3447771301636329, -0.3511114193795201, 0.09693961678660856, -0.2500492929591415, -0.10292841988699272, 0.1943055171842645, -0.15759460263264677, 0.07361547404667736, 0.04777723159163426, 0.032862770466659315, -0.02543116064747991, -0.29457037798457375, 0.3011760104735656, -0.017861036753926713, 0.1952923280032104, 0.05013246732190824, 0.07040626694614706, 0.039537554645600416, -0.009509689335782941, 0.07071870217959468, -0.16116898604983967, 0.10714076251278105, 0.3235688862250521, 0.2200933127031208, 0.29300645887195015, -0.3633480665894473, -0.17482076259479165, 0.1971284533232952, 0.08409874172111113, 0.024397214331353705, 0.02536827175376507, -0.23325369722591952, 0.10450730989955795, -0.1301456677610986, -0.086883124226752, -0.033311876377317674, 0.08637849853123324, 0.020718026249550093, -0.32589357833748156, -0.026695524394595757, 0.05509283883461299, 0.03146068588084278, -0.061523112029625245, -0.15716316674325542, -0.005472125848217939, 0.09660471389398505, 0.0046971553312733965, 0.07808533249996029, 0.04542740030200758, -0.1279319982844381, -0.18308475957467005, 0.39604829180126006, 0.01305754847290257, -0.18757788011899743, 0.13622463839606214, -0.05773475569768403, -0.2274148014242737, 0.09502718589889507, 0.14440009304179022, 0.13784307022340214, -0.13571143451143797, 0.14312932256740543, -0.11163308074435171, 0.12829067952668247, 0.08008315512994066, -0.026393540980792843, 0.12336406955280556, 0.11235177313807444, 0.11583944406167855, 0.18156752864179465, 0.014031806220419897, -0.030763634629786398, -0.24540309224707577, -0.10119496306213431, -0.16927078989661262, 0.04721694636361626, -0.09544457850913601, -0.11946427527194221, 0.36741823825435954, 0.11487019158308752, 0.1624784999921058, 0.12416502883663783, 0.20674758491954073, 0.130532849467552, 0.023900246298394334, 0.10783876012115237, 0.13955243721750613, 0.15064726046059662, 0.03199701841087797, -0.18790441377980946, 0.0787720411675624, 0.09714684336302945] |
708.3227 | Network formation and relaxation dynamics in a new model for colloidal
gelation | We investigate the gel formation from the equilibrium sol phase in a simple
model that has the characteristics of (colloidal) gel-forming systems at a
finite temperature. At low volume fraction and low temperatures, particles are
linked by long-living bonds and form an open percolating network. By means of
molecular dynamics simulations, we study the lifetime of bonds and nodes of the
gel network in order to relate these quantities to the complex relaxation
dynamics observed.
| cond-mat.soft cond-mat.dis-nn | we investigate the gel formation from the equilibrium sol phase in a simple model that has the characteristics of colloidal gelforming systems at a finite temperature at low volume fraction and low temperatures particles are linked by longliving bonds and form an open percolating network by means of molecular dynamics simulations we study the lifetime of bonds and nodes of the gel network in order to relate these quantities to the complex relaxation dynamics observed | [['we', 'investigate', 'the', 'gel', 'formation', 'from', 'the', 'equilibrium', 'sol', 'phase', 'in', 'a', 'simple', 'model', 'that', 'has', 'the', 'characteristics', 'of', 'colloidal', 'gelforming', 'systems', 'at', 'a', 'finite', 'temperature', 'at', 'low', 'volume', 'fraction', 'and', 'low', 'temperatures', 'particles', 'are', 'linked', 'by', 'longliving', 'bonds', 'and', 'form', 'an', 'open', 'percolating', 'network', 'by', 'means', 'of', 'molecular', 'dynamics', 'simulations', 'we', 'study', 'the', 'lifetime', 'of', 'bonds', 'and', 'nodes', 'of', 'the', 'gel', 'network', 'in', 'order', 'to', 'relate', 'these', 'quantities', 'to', 'the', 'complex', 'relaxation', 'dynamics', 'observed']] | [-0.14638039888232016, 0.21575710555713157, -0.06943065974861383, 0.009314032544692357, 0.05264843016862869, -0.08513528733203808, 0.07668178617954254, 0.36788238150378066, -0.29404410723596813, -0.2637797844906648, 0.06346955272989968, -0.2930474925537904, -0.1415909531371047, 0.08476594021854301, 0.04468347133447727, 0.006178240937491258, 0.016180462709938486, -0.020670467438952376, -0.009859446482732893, -0.20269515704363583, 0.27961203776920834, 0.061081414433817066, 0.270496712376674, 0.09962741317848364, 0.09028075206403931, -0.06437899789462487, 0.06419238624783853, 0.07031265368374685, -0.22418284324667184, 0.053398178952435656, 0.21400852607563137, 0.009702170888582865, 0.21936071285357078, -0.49218348095814385, -0.23057181456436712, 0.0756605575233698, 0.1469159960684677, 0.1160653631358097, -0.02377951828142007, -0.23629648126661779, 0.07080055212291579, -0.15564185104643305, -0.15765385328481596, -0.08435900059528649, 0.021885023104647794, 0.061710119529937706, -0.18725711690882843, 0.11637042409429947, -0.015460142965118091, 0.07269468076527119, -0.09034423122182489, -0.048916603835920495, -0.0628672451339662, 0.11711397643045833, -0.009828589808506271, -0.01735095581971109, 0.22520926451931397, -0.14043656894316275, -0.061871804129332304, 0.38157169030358395, -0.03924754602679362, -0.12491011445720991, 0.2653823982924223, -0.16993522672603528, -0.12543826904147864, 0.21317685765524705, 0.1937586935609579, 0.08009370161841313, -0.16724094737321138, 0.01782918346269677, -0.000912629800538222, 0.18103433773387223, 0.03407530093565583, -0.0013520241839190324, 0.26075158747533955, 0.22525541147838035, 0.011352923835317294, 0.17753596149928247, -0.06872873492538929, -0.15449673920248946, -0.19814931871990363, -0.16774263945718607, -0.19475765977675716, 0.04295294213419159, -0.11799287807293392, -0.15305627606188257, 0.36481982011037567, 0.07868576603631179, 0.22563161892195543, 0.04489054656897982, 0.22934548169374466, 0.05409297125258793, 0.05404798066864411, 0.07265128605688612, 0.19022757925093173, 0.18002271539842088, 0.10005760792487611, -0.2709251102153212, 0.11206465837856133, 0.022866505719721316] |
708.3228 | Coxeter multiarrangements with quasi-constant multiplicities | We study structures of derivation modules of Coxeter multiarrangements with
quasi-constant multiplicities by using the primitive derivation. As an
application, we show that the characteristic polynomial of a Coxeter
multiarrangement with quasi-constant multiplicity is combinatorially
computable.
| math.CO math.AC | we study structures of derivation modules of coxeter multiarrangements with quasiconstant multiplicities by using the primitive derivation as an application we show that the characteristic polynomial of a coxeter multiarrangement with quasiconstant multiplicity is combinatorially computable | [['we', 'study', 'structures', 'of', 'derivation', 'modules', 'of', 'coxeter', 'multiarrangements', 'with', 'quasiconstant', 'multiplicities', 'by', 'using', 'the', 'primitive', 'derivation', 'as', 'an', 'application', 'we', 'show', 'that', 'the', 'characteristic', 'polynomial', 'of', 'a', 'coxeter', 'multiarrangement', 'with', 'quasiconstant', 'multiplicity', 'is', 'combinatorially', 'computable']] | [-0.18782971426844597, 0.11273260242928194, -0.1281026749768191, 0.01851268015970062, -0.1062603173777461, -0.10700526334241861, -0.08040469996760496, 0.32730042230751777, -0.3542789285485115, -0.2125578113288308, 0.03772908591458367, -0.2142470246180892, -0.18613863964047697, 0.2193742930119495, -0.12106476837976111, -0.04979739061996548, 0.11487894435413182, 0.10428892260986483, -0.07458551465404323, -0.2533091080064575, 0.4285139585327771, 0.02500914554629061, 0.14358282663548985, 0.06553939543664455, 0.12573438104138607, 0.04521836870763865, -0.02697366146215548, 0.038649557210091084, -0.20331073086163087, 0.11836415029958719, 0.305604424916156, 0.10170842639894949, 0.14150238331058063, -0.32218029673418236, -0.06318853412651354, 0.17356113706611925, 0.1805374096406417, 0.030208204614205494, -0.05560105819151633, -0.20843722019344568, 0.13716572308718847, -0.24159705825150013, -0.21549185302056786, -0.0495281883308457, 0.06764977257181373, 0.04036248609190807, -0.2174028180177427, 0.011040446038047472, 0.1007740013107347, 0.21834462399904928, -0.07457450394415194, -0.13744359962745673, -0.021003560525261693, 0.05677656013156391, -0.03612138592870906, -0.06706134340493008, 0.08448970791262884, -0.08276386243394679, -0.1841185698285699, 0.36813269519350594, -0.009136724156431027, -0.2407160507540943, 0.12971414134113324, -0.18935875200097346, -0.1495025609102514, 0.16182056597123542, 0.0713592491681791, 0.11703695791463058, -0.0438524576731854, 0.15650365398161942, -0.1858292798149503, 0.09681212400189704, 0.13193318612563112, -0.01098652397437642, 0.08705297785733516, 0.08569558358026876, 0.009905243654631905, 0.19636764946497148, 0.05088592832908034, 0.027349524044742186, -0.3952099213169681, -0.2738953661949684, -0.180709059143232, 0.1364054133494695, -0.13276220498503083, -0.21769966174744898, 0.38524128817435765, 0.02889481543873747, 0.1763290238773657, 0.17514510525183546, 0.18589185240368047, 0.12276991200309971, 0.06048116650506725, 0.03227046182534347, 0.05454743425879213, 0.23643286568242022, -0.029764700590425894, -0.1625299891974363, 0.031022967990591295, 0.2824729723829983] |
708.3229 | Ballistic vs Diffusive Transport in Current-Induced Magnetization
Switching | We test whether current-induced magnetization switching due to
spin-transfer-torque in ferromagnetic/non-magnetic/ferromagnetic (F/N/F)
trilayers changes significantly when scattering within the N-metal layers is
changed from ballistic to diffusive. Here ballistic corresponds to a ratio r =
lambda/t greater than or equal to 3 for a Cu spacer layer, and diffusive to r =
lambda/t less than or equal to 0.4 for a CuGe alloy spacer layer, where lambda
is the mean-free-path in the N-layer of fixed thickness t = 10 nm. The average
switching currents for the alloy spacer layer are only modestly larger than
those for Cu. The best available model predicts a much greater sensitivity of
the switching currents to diffuse scattering in the spacer layer than we see.
| cond-mat.mtrl-sci | we test whether currentinduced magnetization switching due to spintransfertorque in ferromagneticnonmagneticferromagnetic fnf trilayers changes significantly when scattering within the nmetal layers is changed from ballistic to diffusive here ballistic corresponds to a ratio r lambdat greater than or equal to 3 for a cu spacer layer and diffusive to r lambdat less than or equal to 04 for a cuge alloy spacer layer where lambda is the meanfreepath in the nlayer of fixed thickness t 10 nm the average switching currents for the alloy spacer layer are only modestly larger than those for cu the best available model predicts a much greater sensitivity of the switching currents to diffuse scattering in the spacer layer than we see | [['we', 'test', 'whether', 'currentinduced', 'magnetization', 'switching', 'due', 'to', 'spintransfertorque', 'in', 'ferromagneticnonmagneticferromagnetic', 'fnf', 'trilayers', 'changes', 'significantly', 'when', 'scattering', 'within', 'the', 'nmetal', 'layers', 'is', 'changed', 'from', 'ballistic', 'to', 'diffusive', 'here', 'ballistic', 'corresponds', 'to', 'a', 'ratio', 'r', 'lambdat', 'greater', 'than', 'or', 'equal', 'to', '3', 'for', 'a', 'cu', 'spacer', 'layer', 'and', 'diffusive', 'to', 'r', 'lambdat', 'less', 'than', 'or', 'equal', 'to', '04', 'for', 'a', 'cuge', 'alloy', 'spacer', 'layer', 'where', 'lambda', 'is', 'the', 'meanfreepath', 'in', 'the', 'nlayer', 'of', 'fixed', 'thickness', 't', '10', 'nm', 'the', 'average', 'switching', 'currents', 'for', 'the', 'alloy', 'spacer', 'layer', 'are', 'only', 'modestly', 'larger', 'than', 'those', 'for', 'cu', 'the', 'best', 'available', 'model', 'predicts', 'a', 'much', 'greater', 'sensitivity', 'of', 'the', 'switching', 'currents', 'to', 'diffuse', 'scattering', 'in', 'the', 'spacer', 'layer', 'than', 'we', 'see']] | [-0.11874476129365764, 0.20882391454330806, 0.05314122581581489, 0.00689844497487527, -0.04897245351056536, -0.22620102820982194, 0.09903155193575819, 0.40503312685880166, -0.2729246620217274, -0.29205079834330183, -0.00972605990306153, -0.33976960270505013, -0.04644430657358969, 0.1816579578625006, 0.030585323687209266, -0.030718903844084204, -0.05319757850896888, -0.03526437928868008, -0.07825327003856414, -0.19956793266364597, 0.23382138797676127, 0.0314455304399197, 0.2840505274984151, 0.039536886087795396, 0.006586053270188257, -0.03615663030409608, 0.12307524970122452, 0.029682589966827874, -0.16967040974373832, 0.03306774009458956, 0.21540642729037088, -0.12973694509328826, 0.17084691942476765, -0.4803256332585267, -0.20182617751335533, 0.0068843555797276825, 0.178433867986314, 0.08388144306131992, 0.06038784561678767, -0.18264975067597397, 0.16738582513664432, -0.14486373632600338, -0.062155132161369066, 0.04939462303721892, 0.09957744168711762, -0.05106163431553106, -0.32253188367708235, 0.08027423990505009, 0.10544810558926186, 0.09596950323361068, -0.06108716511692459, -0.19288835174339855, -0.08777906581085047, 0.016909825679061307, 0.052297794196859065, 0.09290094016087723, 0.21510692715548493, -0.13587893070733367, -0.03571921504295335, 0.3225955136666267, -0.08895212001466304, -0.15211759410108086, 0.14823793253765025, -0.22078262001340246, 0.049472418790362, 0.151722755491862, 0.12103114749208607, 0.1441058355608377, -0.1249700162690464, 0.04023955120847576, 0.0356413077769785, 0.2650411277126264, 0.1301204911091943, 0.006524285309594767, 0.14341527651513702, 0.24754977910899847, 0.09494605766818055, 0.13346649272816963, -0.15104441706428368, -0.02801470653402844, -0.1920103703561271, -0.18430798562596842, -0.1848604936897353, 0.13731102555426206, -0.13257842493263086, -0.14175184164196253, 0.36308718593148837, 0.17743959037008986, 0.17499671572947811, 0.02491354687813798, 0.27001481239908726, 0.10925225740908806, 0.1445944846511401, 0.0699162791299449, 0.24560777914453427, 0.15793179973542434, 0.12521077575290512, -0.19748366955298416, 0.14324816549999703, -0.05432186501325462] |
708.323 | Can Alice and Bob be random: a study on human playing zero knowledge
protocols | The research described in this abstract was initiated by discussions between
the author and Giovanni Di Crescenzo in Barcelona in early 2004. It was during
Advanced Course on Contemporary Cryptology that Di Crescenzo gave a course on
zero knowledge protocols (ZKP), see [1]. After that course we started to play
with unorthodox ideas for breaking ZKP, especially one based on graph
3-coloring. It was chosen for investigation because it is being considered as a
"benchmark" ZKP, see [2], [3]. At this point we briefly recall such a
protocol's description.
| cs.CR cs.CY | the research described in this abstract was initiated by discussions between the author and giovanni di crescenzo in barcelona in early 2004 it was during advanced course on contemporary cryptology that di crescenzo gave a course on zero knowledge protocols zkp see 1 after that course we started to play with unorthodox ideas for breaking zkp especially one based on graph 3coloring it was chosen for investigation because it is being considered as a benchmark zkp see 2 3 at this point we briefly recall such a protocols description | [['the', 'research', 'described', 'in', 'this', 'abstract', 'was', 'initiated', 'by', 'discussions', 'between', 'the', 'author', 'and', 'giovanni', 'di', 'crescenzo', 'in', 'barcelona', 'in', 'early', '2004', 'it', 'was', 'during', 'advanced', 'course', 'on', 'contemporary', 'cryptology', 'that', 'di', 'crescenzo', 'gave', 'a', 'course', 'on', 'zero', 'knowledge', 'protocols', 'zkp', 'see', '1', 'after', 'that', 'course', 'we', 'started', 'to', 'play', 'with', 'unorthodox', 'ideas', 'for', 'breaking', 'zkp', 'especially', 'one', 'based', 'on', 'graph', '3coloring', 'it', 'was', 'chosen', 'for', 'investigation', 'because', 'it', 'is', 'being', 'considered', 'as', 'a', 'benchmark', 'zkp', 'see', '2', '3', 'at', 'this', 'point', 'we', 'briefly', 'recall', 'such', 'a', 'protocols', 'description']] | [-0.06061016855070765, 0.08863650730109951, -0.12124332995227541, 0.07746088384451826, -0.07903506092235363, -0.16706470238421572, 0.021779471537454076, 0.34757515241841924, -0.15366698143836321, -0.34539698159552357, 0.14421329761494286, -0.25533183498747564, -0.16437330205788772, 0.2004025262938106, -0.1297265855292005, -0.032964205139138725, 0.0742453428487597, 0.03184642982826139, -0.0015406494690733178, -0.3420007491573885, 0.2748576915650262, 0.10659900008376395, 0.23822991030939508, 0.06868608024368962, 0.07743676726214505, 0.07965134745045158, -0.09663587012602895, -0.06402269338016932, -0.15569886699494817, 0.04372915080905463, 0.32075414892411636, 0.1645984221720712, 0.329215358063746, -0.39521599810026337, -0.17246434802001112, 0.044647787708077535, 0.044227604527978664, 0.0994184819112919, -0.042201565640057656, -0.2924632894220563, 0.07840473937352052, -0.17947978507518098, -0.09286884403181932, 0.0026584483560153777, 0.09826329050146126, -0.037217237076230265, -0.17489574593884263, -0.004918421534926034, 0.10149041174000568, 0.1363937202893365, 0.023145814840891135, -0.15250555666037993, 0.04141357073330142, 0.10782969396645098, -0.011305513120716794, 0.10507821563756868, 0.09239158259830281, -0.061600566517268675, -0.1616021661935479, 0.3311772687318787, -0.02117710156115086, -0.07033191561918664, 0.1806016450517633, -0.08054882223100475, -0.22203253005537088, 0.040730276401416306, 0.13441186213180464, 0.0883730948389916, -0.11293103892272444, 0.08675429349959098, -0.010452830190822649, 0.13215798098532472, 0.14098597580587932, -0.07649127442096726, 0.15576362668463353, 0.17955840916864657, 0.011376243341044428, 0.06961903926979206, 0.018136737545104593, -0.12367963432491327, -0.2868584249315135, -0.18597040382956856, -0.1609216934734474, 0.09002406272306002, 0.06122803774919345, -0.0727474757344619, 0.3705752756907029, 0.1354103809264436, 0.12720355809027895, -0.03987068190563763, 0.212666895475992, 0.025190102285705507, 0.0279544180028894, 0.10117729448744756, 0.2393796656416792, 0.06441150854990473, 0.21465476746723222, -0.08371647606666587, 0.08311630285533375, 0.10907526272401381] |
708.3231 | Current-induced torques due to compensated antiferromagnets | We analyse the influence of current induced torques on the magnetization
configuration of a ferromagnet in a circuit containing a compensated
antiferromagnet. We argue that these torques are generically non-zero and
support this conclusion with a microscopic NEGF calculation for a circuit
containing antiferromagnetic NiMn and ferromagnetic Co layers. Because of
symmetry dictated differences in the form of the current-induced torque, the
phase diagram which expresses the dependence of ferromagnet configuration on
current and external magnetic field differs qualitatively from its
ferromagnet-only counterpart.
| cond-mat.mes-hall | we analyse the influence of current induced torques on the magnetization configuration of a ferromagnet in a circuit containing a compensated antiferromagnet we argue that these torques are generically nonzero and support this conclusion with a microscopic negf calculation for a circuit containing antiferromagnetic nimn and ferromagnetic co layers because of symmetry dictated differences in the form of the currentinduced torque the phase diagram which expresses the dependence of ferromagnet configuration on current and external magnetic field differs qualitatively from its ferromagnetonly counterpart | [['we', 'analyse', 'the', 'influence', 'of', 'current', 'induced', 'torques', 'on', 'the', 'magnetization', 'configuration', 'of', 'a', 'ferromagnet', 'in', 'a', 'circuit', 'containing', 'a', 'compensated', 'antiferromagnet', 'we', 'argue', 'that', 'these', 'torques', 'are', 'generically', 'nonzero', 'and', 'support', 'this', 'conclusion', 'with', 'a', 'microscopic', 'negf', 'calculation', 'for', 'a', 'circuit', 'containing', 'antiferromagnetic', 'nimn', 'and', 'ferromagnetic', 'co', 'layers', 'because', 'of', 'symmetry', 'dictated', 'differences', 'in', 'the', 'form', 'of', 'the', 'currentinduced', 'torque', 'the', 'phase', 'diagram', 'which', 'expresses', 'the', 'dependence', 'of', 'ferromagnet', 'configuration', 'on', 'current', 'and', 'external', 'magnetic', 'field', 'differs', 'qualitatively', 'from', 'its', 'ferromagnetonly', 'counterpart']] | [-0.23401725707538767, 0.15368099542470967, -0.026044528193135814, 0.018914518666328727, -0.10021980643476837, -0.07152184325542937, 0.07129389761447362, 0.38200792956461266, -0.24177258317472367, -0.2801102871847589, -0.004175898630353735, -0.30419008120349267, -0.13928206701104234, 0.18236905240976228, 0.07196936220294092, -0.06854267968730887, -0.019970118638877644, -0.011076191190357616, -0.10882118251032719, -0.14526450249264244, 0.30639710110362345, -0.06395651531837336, 0.29210342918011567, 0.06003425315181475, 0.08097578813293495, -0.006485059459852736, 0.12117322864828677, 0.07051303067312735, -0.13705508542439132, 0.03614663471263356, 0.16276690095276913, -0.09468127545196472, 0.11935111439627845, -0.5076173485779181, -0.1524197463075369, 0.014907654999505455, 0.09485013683599125, 0.17820072410736096, -0.052665040700514684, -0.2651455970026734, 0.029815493702388753, -0.19173675016414873, -0.11193639901324698, -0.08269850028360762, 0.0013285314851644925, 0.0035330080995109024, -0.29946095119344024, 0.08151094629798403, 0.1575084900875326, 0.1292735711279575, -0.10068340696502341, -0.12162521534894662, -0.10510130462566072, 0.05711596478458222, 0.05759780170259679, 0.12591039545538768, 0.21053650544348695, -0.1590553293112529, -0.12970752408728004, 0.3214650520964003, -0.05474292113241262, -0.16883164622094027, 0.12498936354659679, -0.20838556109314285, -0.08372015615062016, 0.11242102109259222, 0.0949469244706717, 0.07039928674788737, -0.14241028661135494, 0.0967239065460645, 0.024953997567602682, 0.16556040876794878, 0.013016756402510331, 0.0336300586520626, 0.2942756527989376, 0.18701799522812773, 0.004521870119610756, 0.18086628889574147, -0.1038947143739589, -0.13252878678315205, -0.24790396966130995, -0.14441752618905612, -0.2487276672135766, 0.11501814500519597, -0.06689465208289287, -0.21903534224484025, 0.411030613749129, 0.18924545910118556, 0.16531018413909962, -0.03512556499818612, 0.29651924076762687, 0.10883613020570654, 0.08024643495020162, 0.047226748645033054, 0.2696641957637195, 0.18124537175612115, 0.11843004571728227, -0.32536287340846637, 0.1212314528742487, 0.02611909410011211] |
708.3232 | Complexity results for CR mappings between spheres | Using elementary number theory, we prove several results about the complexity
of CR mappings between spheres. It is known that CR mappings between spheres,
invariant under finite groups, lead to sharp bounds for degree estimates on
real polynomials constant on a hyperplane. We show here that there are
infinitely many degrees for which the uniqueness of sharp examples fails. The
proof uses a Pell equation and complicated explicit computations. We also show
that the so-called gap phenomenon for proper mappings between balls does not
occur beyond a certain target dimension. This proof uses the solution of the
postage stamp problem.
| math.CV math.NT | using elementary number theory we prove several results about the complexity of cr mappings between spheres it is known that cr mappings between spheres invariant under finite groups lead to sharp bounds for degree estimates on real polynomials constant on a hyperplane we show here that there are infinitely many degrees for which the uniqueness of sharp examples fails the proof uses a pell equation and complicated explicit computations we also show that the socalled gap phenomenon for proper mappings between balls does not occur beyond a certain target dimension this proof uses the solution of the postage stamp problem | [['using', 'elementary', 'number', 'theory', 'we', 'prove', 'several', 'results', 'about', 'the', 'complexity', 'of', 'cr', 'mappings', 'between', 'spheres', 'it', 'is', 'known', 'that', 'cr', 'mappings', 'between', 'spheres', 'invariant', 'under', 'finite', 'groups', 'lead', 'to', 'sharp', 'bounds', 'for', 'degree', 'estimates', 'on', 'real', 'polynomials', 'constant', 'on', 'a', 'hyperplane', 'we', 'show', 'here', 'that', 'there', 'are', 'infinitely', 'many', 'degrees', 'for', 'which', 'the', 'uniqueness', 'of', 'sharp', 'examples', 'fails', 'the', 'proof', 'uses', 'a', 'pell', 'equation', 'and', 'complicated', 'explicit', 'computations', 'we', 'also', 'show', 'that', 'the', 'socalled', 'gap', 'phenomenon', 'for', 'proper', 'mappings', 'between', 'balls', 'does', 'not', 'occur', 'beyond', 'a', 'certain', 'target', 'dimension', 'this', 'proof', 'uses', 'the', 'solution', 'of', 'the', 'postage', 'stamp', 'problem']] | [-0.15170957800932228, 0.0738146972109098, -0.08305609511211515, 0.12732028551166877, -0.08190558608155697, -0.14809021255467086, 0.05334394131670706, 0.3618510918971151, -0.28608449656516316, -0.26232653206214307, 0.08040034185629338, -0.2838713499577716, -0.196885568863363, 0.24777762373909354, -0.09523965341504663, 0.037955681001767515, 0.047492608861066404, 0.053295862078666684, -0.09952230696799233, -0.26181485298089685, 0.34436336352024227, -0.055654792707355225, 0.21699195207096636, 0.12580285208241548, 0.14018589404411613, 0.019372181231155992, 0.01821052931016311, 0.004191235024482012, -0.20764187320244673, 0.12276715017738753, 0.24670471040764824, 0.10625608005560934, 0.24882474673911928, -0.3849731414858252, -0.1729202883411199, 0.1722002571739722, 0.1344058750709519, 0.08692262851051055, -0.06664640963543206, -0.2164237072505057, 0.09822689500637352, -0.085716593623074, -0.17164351596497, -0.08869073648005724, 0.006506580212153494, 0.06059658960672096, -0.24687224023626186, 0.04395158238447038, 0.17131298425607383, 0.07682407854124904, -0.05834233882371336, -0.09085642857477069, 0.027000062100123613, 0.10314864918938838, 0.05082068767798773, -0.017590868410188705, 0.0653500547260046, -0.05066727789351717, -0.09795564627740533, 0.33595112392213194, -0.02351044092560187, -0.26097840946211365, 0.21869229342788457, -0.13986206630244852, -0.17659289521863683, 0.15042097016237677, 0.11613693365361541, 0.14879236280801705, -0.07524135383777321, 0.14445289770083036, -0.12739573411643504, 0.18404010298661888, 0.15386345957871528, 0.01814208454918116, 0.09380191635340453, 0.06271276100538671, 0.161049199392437, 0.13765814250102268, 0.007249115855665877, -0.09936054464429617, -0.3720311366394162, -0.16906206627143547, -0.1950682340981439, 0.07248933959068381, -0.14534513179198258, -0.19570321891573259, 0.32136454423889516, 0.07364494352135807, 0.20476636552251876, 0.12730897116591222, 0.2381988187879324, 0.06200948056764901, 0.03479329326422885, 0.10605717264581471, 0.1664879843406379, 0.159851813276764, 0.048310358421877024, -0.11568267938215286, 0.04358516003470868, 0.1786409050039947] |
708.3233 | Sakai-Sugimoto model, Tachyon Condensation and Chiral symmetry Breaking | We modify the Sakai-Sugimoto model of chiral symmetry breaking to take into
account the open string tachyon which stretches between the flavour D8-branes
and anti D8-branes. There are several reasons of consistency for doing this:
(i) Even if it might be reasonable to ignore the tachyon in the ultraviolet
where the flavour branes and antibranes are well separated and the tachyon is
small, it is likely to condense and acquire large values in the infrared where
the branes meet. This takes the system far away from the perturbatively stable
minimum of the Sakai-Sugimoto model; (ii) The bifundamental coupling of the
tachyon to fermions of opposite chirality makes it a suitable candidate for the
quark mass and chiral condensate parameters. We show that the modified
Sakai-Sugimoto model with the tachyon present has a classical solution
satisfying all the desired consistency properties. In this solution chiral
symmetry breaking coincides with tachyon condensation. We identify the
parameters corresponding to the quark mass and the chiral condensate and also
briefly discuss the mesonic spectra.
| hep-th | we modify the sakaisugimoto model of chiral symmetry breaking to take into account the open string tachyon which stretches between the flavour d8branes and anti d8branes there are several reasons of consistency for doing this i even if it might be reasonable to ignore the tachyon in the ultraviolet where the flavour branes and antibranes are well separated and the tachyon is small it is likely to condense and acquire large values in the infrared where the branes meet this takes the system far away from the perturbatively stable minimum of the sakaisugimoto model ii the bifundamental coupling of the tachyon to fermions of opposite chirality makes it a suitable candidate for the quark mass and chiral condensate parameters we show that the modified sakaisugimoto model with the tachyon present has a classical solution satisfying all the desired consistency properties in this solution chiral symmetry breaking coincides with tachyon condensation we identify the parameters corresponding to the quark mass and the chiral condensate and also briefly discuss the mesonic spectra | [['we', 'modify', 'the', 'sakaisugimoto', 'model', 'of', 'chiral', 'symmetry', 'breaking', 'to', 'take', 'into', 'account', 'the', 'open', 'string', 'tachyon', 'which', 'stretches', 'between', 'the', 'flavour', 'd8branes', 'and', 'anti', 'd8branes', 'there', 'are', 'several', 'reasons', 'of', 'consistency', 'for', 'doing', 'this', 'i', 'even', 'if', 'it', 'might', 'be', 'reasonable', 'to', 'ignore', 'the', 'tachyon', 'in', 'the', 'ultraviolet', 'where', 'the', 'flavour', 'branes', 'and', 'antibranes', 'are', 'well', 'separated', 'and', 'the', 'tachyon', 'is', 'small', 'it', 'is', 'likely', 'to', 'condense', 'and', 'acquire', 'large', 'values', 'in', 'the', 'infrared', 'where', 'the', 'branes', 'meet', 'this', 'takes', 'the', 'system', 'far', 'away', 'from', 'the', 'perturbatively', 'stable', 'minimum', 'of', 'the', 'sakaisugimoto', 'model', 'ii', 'the', 'bifundamental', 'coupling', 'of', 'the', 'tachyon', 'to', 'fermions', 'of', 'opposite', 'chirality', 'makes', 'it', 'a', 'suitable', 'candidate', 'for', 'the', 'quark', 'mass', 'and', 'chiral', 'condensate', 'parameters', 'we', 'show', 'that', 'the', 'modified', 'sakaisugimoto', 'model', 'with', 'the', 'tachyon', 'present', 'has', 'a', 'classical', 'solution', 'satisfying', 'all', 'the', 'desired', 'consistency', 'properties', 'in', 'this', 'solution', 'chiral', 'symmetry', 'breaking', 'coincides', 'with', 'tachyon', 'condensation', 'we', 'identify', 'the', 'parameters', 'corresponding', 'to', 'the', 'quark', 'mass', 'and', 'the', 'chiral', 'condensate', 'and', 'also', 'briefly', 'discuss', 'the', 'mesonic', 'spectra']] | [-0.13501381308716887, 0.22898134834009826, -0.0824717084548491, 0.12758123128442095, -0.1091143803397084, -0.1732836121474119, 0.024413537094369532, 0.3184210094390437, -0.19864982931929476, -0.2434582664631307, 0.05325630053412169, -0.2788935992962626, -0.0780322008245789, 0.0278947759012226, -0.014082933069371126, 0.019013617310402502, -0.02516187209950979, 0.06517485103926018, -0.06545975081732168, -0.24124215579975178, 0.33067122628254925, -0.008798263742424109, 0.27409858002382165, 0.10388899194898413, 0.08091931443880586, -0.05403904580170467, 0.03463599113747477, -0.03527726417626528, -0.14154422187459526, 0.027706918838221635, 0.17220043093719356, 0.07795139094814658, 0.12213306536226917, -0.43036461430875694, -0.19149169782998368, 0.13161360342603395, 0.18338222777443555, 0.1832959907451261, -0.028684438058339496, -0.2945999729255324, 0.0930155762758873, -0.1578300601337105, -0.1845801170422312, -0.08867151535951587, -0.005987322675612043, -0.07202950556598166, -0.28050470365047014, 0.06197208215821507, -0.010439212034072946, -0.0033655408386360198, -0.08396709778702215, -0.10110865293056978, -0.09697653113946537, 0.07991711313370616, 0.16669429931310278, 0.048495588058551004, 0.13060475495808266, -0.22222745083135498, -0.04068626440130174, 0.4188894938896684, -0.06366736348992323, -0.17958267857183646, 0.14435264555846944, -0.11538406020468649, -0.13792747048633722, 0.08923825537511969, 0.06919323010883732, 0.09657732168279301, -0.1314371469156707, 0.17498870203853584, -0.0489678091424353, 0.13368085659424062, 0.10140754610765726, 0.0665221444248934, 0.3292739849510219, 0.14273411455043755, 0.01639888813609586, 0.13522575503037146, -0.05040217268773738, -0.15266261674080264, -0.3989534648628358, -0.11171422169872505, -0.1087561780894997, 0.03300178094239741, -0.10705901668073185, -0.17893291354604812, 0.39231756215038543, 0.15897280529846766, 0.23351395153851412, 0.003459892061073333, 0.2721493174212382, 0.08915405997129924, 0.10863716512069325, 0.07033090924515444, 0.292796657631612, 0.11613451131509946, 0.11035794165149769, -0.29866491191719163, -0.09559174827300013, 0.09715655869804322] |
708.3234 | The Repetition Property for Sequences on Tori Generated by Polynomials
or Skew-Shifts | The repetition property of a sequence in a metric space, a notion introduced
by us in an earlier paper, is of importance in the spectral analysis of ergodic
Schr\"odinger operators. It may be used to exclude eigenvalues for such
operators. In this paper we study the question of when a sequence on a torus
that is generated by a polynomial or a skew-shift has the repetition property.
This provides classes of ergodic Schr\"odinger operators with potentials
generated by skew-shifts on tori that have, contrary to earlier belief, no
eigenvalues.
| math.DS math.CA | the repetition property of a sequence in a metric space a notion introduced by us in an earlier paper is of importance in the spectral analysis of ergodic schrodinger operators it may be used to exclude eigenvalues for such operators in this paper we study the question of when a sequence on a torus that is generated by a polynomial or a skewshift has the repetition property this provides classes of ergodic schrodinger operators with potentials generated by skewshifts on tori that have contrary to earlier belief no eigenvalues | [['the', 'repetition', 'property', 'of', 'a', 'sequence', 'in', 'a', 'metric', 'space', 'a', 'notion', 'introduced', 'by', 'us', 'in', 'an', 'earlier', 'paper', 'is', 'of', 'importance', 'in', 'the', 'spectral', 'analysis', 'of', 'ergodic', 'schrodinger', 'operators', 'it', 'may', 'be', 'used', 'to', 'exclude', 'eigenvalues', 'for', 'such', 'operators', 'in', 'this', 'paper', 'we', 'study', 'the', 'question', 'of', 'when', 'a', 'sequence', 'on', 'a', 'torus', 'that', 'is', 'generated', 'by', 'a', 'polynomial', 'or', 'a', 'skewshift', 'has', 'the', 'repetition', 'property', 'this', 'provides', 'classes', 'of', 'ergodic', 'schrodinger', 'operators', 'with', 'potentials', 'generated', 'by', 'skewshifts', 'on', 'tori', 'that', 'have', 'contrary', 'to', 'earlier', 'belief', 'no', 'eigenvalues']] | [-0.13903686837450172, 0.11612986159406921, -0.1168993359766482, 0.06034554099517592, -0.052964504753249916, -0.09552246613134996, 0.028240401742540385, 0.38508109532798945, -0.23338643409144344, -0.20855648783715755, 0.12169907133231002, -0.2630536029314141, -0.16870686982423486, 0.20715425291956727, -0.11230228599056266, 0.055991258171355626, 0.0784370450177387, 0.07388715392627408, -0.05419434232930286, -0.22426662255036697, 0.41394226723402905, 0.03096900264774397, 0.19977681117467164, 0.03497009563489995, 0.06922453359355417, -0.0011770736813294083, -0.026805553035915232, -0.005839423930829684, -0.10462131784013028, 0.14701631296886486, 0.23214821320738685, 0.11577440230071209, 0.3195763560995627, -0.34782097890470803, -0.2408375290400359, 0.18762852932755533, 0.1407843145510454, 0.06891204969266827, -0.058880911907181144, -0.28530601573208075, 0.12867160988029805, -0.16451701742408567, -0.1463137861090095, -0.04755038443659799, 0.029135537030321828, 0.016788505036069937, -0.2920943387375956, 0.020686112537854507, 0.15963900848448778, 0.07493678091114826, -0.04299478128217579, -0.015561033207713888, 0.020332549089105444, 0.0761979035317003, 0.029956652866571808, 0.046102248239487914, 0.04433222134398778, -0.05222677300799261, -0.16492028822965418, 0.35069669439624784, -0.09558998055107305, -0.26443917223702323, 0.15458734377988437, -0.14767161061924494, -0.14656512306354355, 0.10515456167415957, 0.13692824112439758, 0.13039677875283895, -0.13676795620668097, 0.1463866704614477, -0.09604233344284337, 0.1542864524330316, 0.10161933086268353, 0.04855357923968748, 0.14284009432153294, 0.08537560356833208, 0.1305334169046137, 0.13937302359531561, 0.029409731199357952, -0.07707255438305019, -0.25507908695366943, -0.15269979944431714, -0.20538251076856356, 0.11756501196533065, -0.05230820512273506, -0.1873111669811305, 0.440065920431418, 0.1266434010225505, 0.2253432503660743, 0.07200685972472119, 0.2012463505144409, 0.16071248492435292, 0.0590822756541579, 0.06318102187864232, 0.16814935437581513, 0.1598062457365057, 0.07652125485618128, -0.17639667475909998, 0.026483405810477357, 0.1610560966760255] |
708.3235 | Does Planck mass run on the cosmological horizon scale? | Einstein's theory of general relativity, which contains a universal value of
the Planck mass, has been so far successfully invoked to explain gravitational
dynamics from sub-millimeter scales to the scale of the cosmological horizon.
However, one may envisage that in alternative theories of gravity, the
effective value of the Planck mass (or Newton's constant), which quantifies the
coupling of matter to metric perturbations, can run on the cosmological horizon
scale. In this letter, we study the consequences of a glitch in the Planck mass
from sub-horizon to super-horizon scales. We first give three examples of
models that naturally exhibit this feature, and then show that current
cosmological observations severely constrain this glitch to less than 1.2%.
This is the strongest constraint to date, on natural (i.e. non-fine-tuned)
deviations from Einstein gravity on the cosmological horizon scale.
| astro-ph gr-qc hep-th | einsteins theory of general relativity which contains a universal value of the planck mass has been so far successfully invoked to explain gravitational dynamics from submillimeter scales to the scale of the cosmological horizon however one may envisage that in alternative theories of gravity the effective value of the planck mass or newtons constant which quantifies the coupling of matter to metric perturbations can run on the cosmological horizon scale in this letter we study the consequences of a glitch in the planck mass from subhorizon to superhorizon scales we first give three examples of models that naturally exhibit this feature and then show that current cosmological observations severely constrain this glitch to less than 12 this is the strongest constraint to date on natural ie nonfinetuned deviations from einstein gravity on the cosmological horizon scale | [['einsteins', 'theory', 'of', 'general', 'relativity', 'which', 'contains', 'a', 'universal', 'value', 'of', 'the', 'planck', 'mass', 'has', 'been', 'so', 'far', 'successfully', 'invoked', 'to', 'explain', 'gravitational', 'dynamics', 'from', 'submillimeter', 'scales', 'to', 'the', 'scale', 'of', 'the', 'cosmological', 'horizon', 'however', 'one', 'may', 'envisage', 'that', 'in', 'alternative', 'theories', 'of', 'gravity', 'the', 'effective', 'value', 'of', 'the', 'planck', 'mass', 'or', 'newtons', 'constant', 'which', 'quantifies', 'the', 'coupling', 'of', 'matter', 'to', 'metric', 'perturbations', 'can', 'run', 'on', 'the', 'cosmological', 'horizon', 'scale', 'in', 'this', 'letter', 'we', 'study', 'the', 'consequences', 'of', 'a', 'glitch', 'in', 'the', 'planck', 'mass', 'from', 'subhorizon', 'to', 'superhorizon', 'scales', 'we', 'first', 'give', 'three', 'examples', 'of', 'models', 'that', 'naturally', 'exhibit', 'this', 'feature', 'and', 'then', 'show', 'that', 'current', 'cosmological', 'observations', 'severely', 'constrain', 'this', 'glitch', 'to', 'less', 'than', '12', 'this', 'is', 'the', 'strongest', 'constraint', 'to', 'date', 'on', 'natural', 'ie', 'nonfinetuned', 'deviations', 'from', 'einstein', 'gravity', 'on', 'the', 'cosmological', 'horizon', 'scale']] | [-0.12051866689903869, 0.13565359548449998, -0.12441394518095034, 0.12704850846504862, -0.14950587003043406, -0.10269553952815907, -0.05419473674717463, 0.26062855138788343, -0.2461482776466895, -0.3398178875791254, 0.11554905419082691, -0.245688930853201, -0.08404132689832261, 0.18495418627151392, -0.03295616635759534, 0.033914710550258555, -0.017751363813187235, 0.051243807139151075, -0.05375291057431174, -0.25392617287321223, 0.36277527929352665, 0.14447093285551227, 0.19863237268808814, 0.02797546685086908, 0.12171271312809377, -0.1362422867540132, -0.03330758289537496, 0.06029647077537245, -0.17915235721345568, 0.0383734963696312, 0.19038626329644034, 0.14304441386937267, 0.23929257623299405, -0.4200569781698976, -0.25301012526162797, 0.11706322558500148, 0.11900606278019647, 0.1986783418338746, -0.018313848636871962, -0.2669501016382128, 0.04618428231074682, -0.18528911362022712, -0.10060659343963144, -0.00911688352762549, 0.05346266021607099, -0.08757335999549401, -0.21771427393649465, 0.135451879987657, -0.021287627825168548, -0.04237389925315424, -0.07344566255255981, -0.06871556767124545, 0.012575564043665374, 0.04264878045802039, 0.1643115828693327, 0.032647649911922164, 0.16460048811234257, -0.1257138427948424, -0.10066651870600052, 0.4363691572789793, -0.1279121525159873, -0.1415456418292942, 0.15407863032866131, -0.23137794072153392, -0.1983589210168079, 0.06247984634850312, 0.15578011611511033, 0.09732101419595657, -0.144667371576307, 0.14187095823344187, -0.008270057746105723, 0.23833380149746383, 0.10006899140361282, 0.055145400343893994, 0.32079099361802005, 0.13037769846549188, 0.07539994889477923, 0.0490012115109022, -0.08594977224625096, -0.08933460192961826, -0.3456174013411833, -0.07768892575469281, -0.19378595424264117, 0.11376278400938544, -0.15920402599009253, -0.15181499091839348, 0.35363909621481543, 0.23632412815069848, 0.1892824028170219, 0.1329917776622568, 0.2615391609534897, 0.0594808102214571, 0.11691390590362803, 0.06617610617023376, 0.38873294593283425, 0.08019906814313597, 0.10538697956750791, -0.23646003737252344, -0.027363954601740396, 0.026216610007126023] |
708.3236 | Flux locking a superfluid interferometer | We demonstrate a flux locking technique using injected heat current to
linearize the output of a superfluid helium-4 interferometer. A rotation flux
through the interferometer loop produces a shift in the phase of the superfluid
order parameter. This shift is nullified via negative feedback by a phase-shift
caused by the injected heat current. The feedback signal is then a linear
function of rotation flux.
| cond-mat.other | we demonstrate a flux locking technique using injected heat current to linearize the output of a superfluid helium4 interferometer a rotation flux through the interferometer loop produces a shift in the phase of the superfluid order parameter this shift is nullified via negative feedback by a phaseshift caused by the injected heat current the feedback signal is then a linear function of rotation flux | [['we', 'demonstrate', 'a', 'flux', 'locking', 'technique', 'using', 'injected', 'heat', 'current', 'to', 'linearize', 'the', 'output', 'of', 'a', 'superfluid', 'helium4', 'interferometer', 'a', 'rotation', 'flux', 'through', 'the', 'interferometer', 'loop', 'produces', 'a', 'shift', 'in', 'the', 'phase', 'of', 'the', 'superfluid', 'order', 'parameter', 'this', 'shift', 'is', 'nullified', 'via', 'negative', 'feedback', 'by', 'a', 'phaseshift', 'caused', 'by', 'the', 'injected', 'heat', 'current', 'the', 'feedback', 'signal', 'is', 'then', 'a', 'linear', 'function', 'of', 'rotation', 'flux']] | [-0.21458124864147976, 0.23287959619483445, -0.07889676885679364, 0.01608562593719398, -0.0818611634458648, -0.09847498578892555, 0.12309911864576861, 0.33344914217013866, -0.28840881562791765, -0.28701837685366627, 0.052077673562962445, -0.24461748043540865, -0.08310114993946627, 0.23454673402011395, -0.013437326706480235, 0.0300662153531448, 0.014344903656876795, 0.033280365918471944, -0.07776162909794948, -0.12634408534358954, 0.33334289491176605, 0.08051193719438743, 0.2868379576539155, -0.019740807212656364, 0.16086645566974767, -0.0999419676954858, -0.01184947854198981, 0.033109684041846776, -0.073802911027542, 0.01012608407290827, 0.18104771158141375, 0.027202802448300645, 0.21128400729503483, -0.41219956160057336, -0.2594814019103069, 0.0936514878703747, 0.10728591513907304, 0.1692692341748625, -0.11735016413149424, -0.2731603888096288, -0.05032754407147877, -0.20962333099305397, -0.07703288808988873, -0.02475145732751116, -0.015366912077297457, 0.02953894057901607, -0.28525638209976023, 0.09964746842160821, 0.0593842587841209, -0.0008986773063952569, -0.04298699872742873, -0.028374621004331857, -0.05607438657898456, 0.05660485311091179, -0.0281178092918708, 0.12064298873156076, 0.1921799184201518, -0.119825005021994, -0.07957680684194202, 0.28502934929565527, -0.14819699801773822, -0.1918884983897442, 0.02357419866893906, -0.18439873882743996, 0.005324343877873616, 0.21001613271073438, 0.12617569307622034, 0.05702060071780579, -0.11032011613133363, -0.0063295899162767455, 0.020444779511308298, 0.24989913159879507, 0.061126962486014236, -0.042485193473112304, 0.2804710199998226, 0.16772694679093547, 0.07515810785116628, 0.21884391414641868, -0.18593344393912048, -0.05870989149661909, -0.2987072886317037, -0.11742712432169355, -0.16981807615957223, 0.0566041905694874, -0.016499388468218967, -0.14182993842405267, 0.40246316883713007, 0.12326131068402901, 0.21373151405714452, -0.031669202937337104, 0.4438892344478518, 0.22056981475179782, 0.06370975136815105, 0.05076233990257606, 0.2821624184725806, 0.22223747934549465, 0.15476408952235943, -0.36771630432485836, 0.030870006186887622, 0.07296471945301164] |
708.3237 | Braneworld dynamics in Einstein-Gauss-Bonnet gravity | We discuss the cosmological evolution of a braneworld in five dimensional
Gauss-Bonnet gravity. Our discussion allows the fifth (bulk) dimension to be
space-like as well as time-like. The resulting equations of motion have the
form of a cubic equation in the (H^2,(\rho+\sigma)^2) plane, where \sigma is
the brane tension and \rho is the matter density. This allows us to conduct a
comprehensive pictorial analysis of cosmological evolution for the Gauss-Bonnet
brane. The many interesting properties of this braneworld include the
possibility of accelerated expansion at late times. For a finite region in
parameter space the accelerated expansion can be phantom-like so that w < -1.
At late times, this branch approaches de Sitter space (w = -1) and avoids the
big-rip singularities usually present in phantom models. For a time-like extra
dimension the Gauss-Bonnet brane can bounce and avoid the initial singularity.
| gr-qc astro-ph hep-ph | we discuss the cosmological evolution of a braneworld in five dimensional gaussbonnet gravity our discussion allows the fifth bulk dimension to be spacelike as well as timelike the resulting equations of motion have the form of a cubic equation in the h2rhosigma2 plane where sigma is the brane tension and rho is the matter density this allows us to conduct a comprehensive pictorial analysis of cosmological evolution for the gaussbonnet brane the many interesting properties of this braneworld include the possibility of accelerated expansion at late times for a finite region in parameter space the accelerated expansion can be phantomlike so that w 1 at late times this branch approaches de sitter space w 1 and avoids the bigrip singularities usually present in phantom models for a timelike extra dimension the gaussbonnet brane can bounce and avoid the initial singularity | [['we', 'discuss', 'the', 'cosmological', 'evolution', 'of', 'a', 'braneworld', 'in', 'five', 'dimensional', 'gaussbonnet', 'gravity', 'our', 'discussion', 'allows', 'the', 'fifth', 'bulk', 'dimension', 'to', 'be', 'spacelike', 'as', 'well', 'as', 'timelike', 'the', 'resulting', 'equations', 'of', 'motion', 'have', 'the', 'form', 'of', 'a', 'cubic', 'equation', 'in', 'the', 'h2rhosigma2', 'plane', 'where', 'sigma', 'is', 'the', 'brane', 'tension', 'and', 'rho', 'is', 'the', 'matter', 'density', 'this', 'allows', 'us', 'to', 'conduct', 'a', 'comprehensive', 'pictorial', 'analysis', 'of', 'cosmological', 'evolution', 'for', 'the', 'gaussbonnet', 'brane', 'the', 'many', 'interesting', 'properties', 'of', 'this', 'braneworld', 'include', 'the', 'possibility', 'of', 'accelerated', 'expansion', 'at', 'late', 'times', 'for', 'a', 'finite', 'region', 'in', 'parameter', 'space', 'the', 'accelerated', 'expansion', 'can', 'be', 'phantomlike', 'so', 'that', 'w', '1', 'at', 'late', 'times', 'this', 'branch', 'approaches', 'de', 'sitter', 'space', 'w', '1', 'and', 'avoids', 'the', 'bigrip', 'singularities', 'usually', 'present', 'in', 'phantom', 'models', 'for', 'a', 'timelike', 'extra', 'dimension', 'the', 'gaussbonnet', 'brane', 'can', 'bounce', 'and', 'avoid', 'the', 'initial', 'singularity']] | [-0.15330976998205664, 0.11655582140095988, -0.14624845510241474, 0.09418995081021604, -0.14201533654034673, -0.14328215351301454, -0.04744244112445564, 0.2668995550438333, -0.19565494856822285, -0.2471271609190664, 0.08193277185632036, -0.2598047267426586, -0.06689281856453569, 0.13461165312382814, -0.02438990290217242, 0.007786398139621446, -0.00014278054046411095, 0.05767947583452618, -0.08396534541146093, -0.2790542660991279, 0.38638098568910156, 0.04295358830466599, 0.21356428452774132, 0.012584349604511111, 0.09404024108909338, -0.05427181437986789, 0.009100793998206048, 0.036948408944475326, -0.2022126513760367, 0.04333168370046204, 0.19919780240237245, 0.10770418298960054, 0.22716446313672037, -0.40880258465788777, -0.28873380215959155, 0.11640517056497524, 0.20938175093221792, 0.163574956270377, -0.022259373371924858, -0.27162526263821896, 0.04232548717275369, -0.17937742807507087, -0.17606167345167065, -0.04664765732202063, 0.033863164534752105, -0.10016132900558358, -0.21616734987754616, 0.12000500875116467, 0.0008135565209852385, -0.042110649024625475, -0.07273902883166916, -0.05270845260765913, -0.028854658525678322, 0.037586981928136816, 0.11512500577834066, 0.06026101989416982, 0.10356660595284306, -0.14242550168713436, -0.077066164691564, 0.38896498392945783, -0.1317025660436681, -0.20131222775085367, 0.1504451661059137, -0.18944072362082415, -0.12400984692239879, 0.11611325679038711, 0.123681591696394, 0.15185972908344253, -0.10638299528107369, 0.23132839703994382, 0.06090160247806138, 0.12427714485139084, 0.1452697853376861, -0.007257635622677266, 0.2774695360081659, 0.14233880005810384, 0.02406311383355315, 0.11689062763789414, -0.06292403305766822, -0.08043543964946012, -0.4193334770288399, -0.2190663867408959, -0.10964178886656523, 0.09366717368193479, -0.23844873182202955, -0.19215253489292997, 0.3538991460817859, 0.09379498638747019, 0.20077175651040438, 0.004813478599644179, 0.2493983011880367, 0.04597668104098185, 0.03087605381880304, 0.08506548539366868, 0.2655961106986933, 0.06139490258940261, 0.14769515722634927, -0.251754552052229, -0.06042561547080283, 0.09179071785728012] |
708.3238 | How well do we know the Unitarity Triangle? An experimental review | In the past 10 years our knowledge of the parameters rho and eta of the
Cabibbo-Kobayashi-Maskawa matrix has improved substantially. This article
reviews the measurements that contributed to this advance, and discusses their
implication in terms of understanding CP violation in the Standard Model and
beyond.
| hep-ex | in the past 10 years our knowledge of the parameters rho and eta of the cabibbokobayashimaskawa matrix has improved substantially this article reviews the measurements that contributed to this advance and discusses their implication in terms of understanding cp violation in the standard model and beyond | [['in', 'the', 'past', '10', 'years', 'our', 'knowledge', 'of', 'the', 'parameters', 'rho', 'and', 'eta', 'of', 'the', 'cabibbokobayashimaskawa', 'matrix', 'has', 'improved', 'substantially', 'this', 'article', 'reviews', 'the', 'measurements', 'that', 'contributed', 'to', 'this', 'advance', 'and', 'discusses', 'their', 'implication', 'in', 'terms', 'of', 'understanding', 'cp', 'violation', 'in', 'the', 'standard', 'model', 'and', 'beyond']] | [-0.07114327082450947, 0.1014492538575407, -0.03522563282825539, -0.006658265028027413, -0.052320844574790935, -0.04720631638622802, 0.10349967816601628, 0.26010643075341766, -0.25054092510886816, -0.34349071323547675, 0.08607829595237727, -0.2868410050970219, -0.13637653216415935, 0.17257919619568501, -0.05979516509029528, 0.04985778762594513, 0.07511186259596245, 0.04844720613049424, -0.1831161751685178, -0.2594718658162848, 0.2828485766203021, 0.07524201205081266, 0.24782276655668797, 0.12208359417222116, 0.013760942429223138, 0.012184679720793729, -0.14902044093722236, -0.041127481983731624, -0.1372928875152075, 0.16870452948015832, 0.21433650637450424, 0.18723847222028542, 0.19934190053533277, -0.41282974766648334, -0.21008041616448242, 0.12229575408096223, 0.16066697416017237, 0.06860636464198647, -0.018617718774096473, -0.27725599293151626, 0.08031568457574947, -0.22538547992260885, -0.12744265758310971, -0.04281728925011323, 0.05001479662630869, -0.08489358238875866, -0.2440167350249122, 0.08579990749611803, 0.08521074882667998, 0.051062022852104, 0.018248467351836356, -0.22803321551612538, 0.104464918268723, 0.12873719970736167, 0.1594275535633484, 0.06421191683646453, 0.12252131839404287, -0.20455690620102637, -0.12421925819438437, 0.4018335246440509, -0.07488994110051704, -0.1393107085124306, 0.14150274274668292, -0.2240653711411616, -0.15950936210625197, 0.06628834545288396, 0.1863906861525839, 0.05956468289799016, -0.1887830976680245, 0.11932860282072595, -0.03986811868684447, 0.16930035145386405, 0.02370831440202892, 0.06121174125608219, 0.17673258750658968, 0.2035035665511437, -0.018732254271921905, 0.02579276134138522, -0.04384519119301568, -0.09315304929876457, -0.29994762130081654, -0.18851684588615014, -0.11547838861082235, 0.028107642039211223, -0.0849406603289105, -0.03948040660875647, 0.46586768074042123, 0.2176982586312553, 0.1953204067869355, -0.008074365232301794, 0.3034520073712844, 0.048259366819958974, 0.05698035806721157, 0.0338369261007756, 0.35461304124961, 0.16059295209529606, 0.1682414647758655, -0.2208734446650614, 0.13979516347424817, 0.004795524959816881] |
708.3239 | Electron-Electron Interactions in Graphene | We discuss the validity (or not) of the ring-diagram approximation (i.e. RPA)
in the calculation of graphene self-energy in the weak-coupling ($r_s \ll 1$)
limit, showing that RPA is a controlled and valid approximation for
\textit{extrinsic} graphene where the Fermi level is away from the Dirac point.
| cond-mat.mtrl-sci cond-mat.mes-hall | we discuss the validity or not of the ringdiagram approximation ie rpa in the calculation of graphene selfenergy in the weakcoupling r_s ll 1 limit showing that rpa is a controlled and valid approximation for textitextrinsic graphene where the fermi level is away from the dirac point | [['we', 'discuss', 'the', 'validity', 'or', 'not', 'of', 'the', 'ringdiagram', 'approximation', 'ie', 'rpa', 'in', 'the', 'calculation', 'of', 'graphene', 'selfenergy', 'in', 'the', 'weakcoupling', 'r_s', 'll', '1', 'limit', 'showing', 'that', 'rpa', 'is', 'a', 'controlled', 'and', 'valid', 'approximation', 'for', 'textitextrinsic', 'graphene', 'where', 'the', 'fermi', 'level', 'is', 'away', 'from', 'the', 'dirac', 'point']] | [-0.13032557713323395, 0.12784308630406208, -0.07526108581046372, 0.08957747881725917, 0.039931180937539626, -0.12181953833762395, 0.1644500316242161, 0.3153011567850152, -0.21972278861895853, -0.19589340836619554, -0.026256809896870476, -0.34855089018769236, -0.09525164654579661, 0.1549329864539449, 0.06142986891031994, -0.0018561092083868773, -0.007146961192357476, -0.0004389241297283898, -0.15085929698493009, -0.15752915039395346, 0.2794913728923901, 0.01173290087962928, 0.2624801514953699, 0.1332201558549929, -0.0004836484465910041, 0.057745129477394665, 0.09136966506586126, 0.038023926661876234, -0.09218668575862388, -0.008272055010108845, 0.2654245788960353, -0.09109908318066079, 0.24808504740181175, -0.4189717215688332, -0.1821330012905452, -0.02699366507484861, 0.17459649394225815, 0.14008770364782083, 0.0070622904003476315, -0.2913323355858903, 0.07504352927207947, -0.17221442448056262, -0.1992858072904789, -0.08389401276919829, -0.04185287164443213, -0.004842388646110245, -0.24888196685756353, 0.12894707047582968, 0.06373471842633317, -0.0048573506064713, -0.06465093833495579, -0.16246865157280926, 0.0035451406451023145, 0.06576817706935918, 0.06029195441742954, 0.06051318107853623, 0.1486134313593578, -0.15983668043602095, -0.001499978137081084, 0.46335037773394067, -0.07092930510154237, -0.17157667879339145, 0.12277889438985806, -0.25198090218169533, -0.08343100505273628, 0.134251498212309, 0.05700040467427638, 0.07197683590018879, -0.12485267865754988, 0.22503617740838547, -0.018817439270408257, 0.14637961078994483, 0.08648672344102322, -0.005108470512230111, 0.1440741277664252, 0.1622100897669873, 0.05620238556445617, 0.051612730542926685, -0.14407399015339173, -0.10045653877719103, -0.3623782811969843, -0.10973642367626661, -0.2833992481717597, 0.06227753346351876, -0.09435690892828659, -0.2264443800030795, 0.4027924381358468, 0.19563425526670788, 0.14289628426827813, 0.05044505755295572, 0.3037530818306234, 0.21955141307705123, 0.008691298896851747, 0.10529127405227526, 0.32315118411434407, 0.10670976638389022, 0.002035157481694351, -0.2202808204582771, -0.01706799372787709, 0.10772261416296595] |
708.324 | The growth of luminous red galaxies by merging | We study the role of major and minor mergers in the mass growth of luminous
red galaxies. We present small-scale ($0.01<r<8\,\hMpc$) projected
cross-correlation functions of $23043$ luminous early-type galaxies from the
Sloan Digital Sky Survey (SDSS) Luminous Red Galaxy (LRG) sample
($0.16<z<0.30$, $\MMi\approx -22.75\,\mag$) with all their companions in the
SDSS imaging sample, split into color and luminosity subsamples with
$\MMi<-18\,\mag$. We de-project the two-dimensional functions to obtain
three-dimensional real-space LRG--galaxy cross-correlation functions for each
companion subsample. We find that the cross-correlation functions are not
purely power-law and that there is a clear ``one-halo'' to ``two-halo''
transition near $1\,\hMpc$. We convert these results into close pair statistics
and estimate the LRG accretion rate from each companion galaxy subsample using
timescales from dynamical friction arguments for each subsample of the
companions. We find that the accretion onto LRGs is dominated by dry mergers of
galaxies more luminous than $\Lstar$. We integrate the luminosity accretion
rate from mergers over all companion galaxy subsamples and find that LRGs are
growing by $[1.7\pm 0.1]$ percent per $\Gyr$, on average, from merger activity
at redshift $z\sim 0.25$. This rate is almost certainly an over-estimate
because we have assumed that all close pairs are merging as quickly as
dynamical friction allows; nonetheless it is on the low side of the panoply of
measurements in the literature, and lower than any rate predicted from theory.
| astro-ph | we study the role of major and minor mergers in the mass growth of luminous red galaxies we present smallscale 001r8hmpc projected crosscorrelation functions of 23043 luminous earlytype galaxies from the sloan digital sky survey sdss luminous red galaxy lrg sample 016z030 mmiapprox 2275mag with all their companions in the sdss imaging sample split into color and luminosity subsamples with mmi18mag we deproject the twodimensional functions to obtain threedimensional realspace lrggalaxy crosscorrelation functions for each companion subsample we find that the crosscorrelation functions are not purely powerlaw and that there is a clear onehalo to twohalo transition near 1hmpc we convert these results into close pair statistics and estimate the lrg accretion rate from each companion galaxy subsample using timescales from dynamical friction arguments for each subsample of the companions we find that the accretion onto lrgs is dominated by dry mergers of galaxies more luminous than lstar we integrate the luminosity accretion rate from mergers over all companion galaxy subsamples and find that lrgs are growing by 17pm 01 percent per gyr on average from merger activity at redshift zsim 025 this rate is almost certainly an overestimate because we have assumed that all close pairs are merging as quickly as dynamical friction allows nonetheless it is on the low side of the panoply of measurements in the literature and lower than any rate predicted from theory | [['we', 'study', 'the', 'role', 'of', 'major', 'and', 'minor', 'mergers', 'in', 'the', 'mass', 'growth', 'of', 'luminous', 'red', 'galaxies', 'we', 'present', 'smallscale', '001r8hmpc', 'projected', 'crosscorrelation', 'functions', 'of', '23043', 'luminous', 'earlytype', 'galaxies', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'luminous', 'red', 'galaxy', 'lrg', 'sample', '016z030', 'mmiapprox', '2275mag', 'with', 'all', 'their', 'companions', 'in', 'the', 'sdss', 'imaging', 'sample', 'split', 'into', 'color', 'and', 'luminosity', 'subsamples', 'with', 'mmi18mag', 'we', 'deproject', 'the', 'twodimensional', 'functions', 'to', 'obtain', 'threedimensional', 'realspace', 'lrggalaxy', 'crosscorrelation', 'functions', 'for', 'each', 'companion', 'subsample', 'we', 'find', 'that', 'the', 'crosscorrelation', 'functions', 'are', 'not', 'purely', 'powerlaw', 'and', 'that', 'there', 'is', 'a', 'clear', 'onehalo', 'to', 'twohalo', 'transition', 'near', '1hmpc', 'we', 'convert', 'these', 'results', 'into', 'close', 'pair', 'statistics', 'and', 'estimate', 'the', 'lrg', 'accretion', 'rate', 'from', 'each', 'companion', 'galaxy', 'subsample', 'using', 'timescales', 'from', 'dynamical', 'friction', 'arguments', 'for', 'each', 'subsample', 'of', 'the', 'companions', 'we', 'find', 'that', 'the', 'accretion', 'onto', 'lrgs', 'is', 'dominated', 'by', 'dry', 'mergers', 'of', 'galaxies', 'more', 'luminous', 'than', 'lstar', 'we', 'integrate', 'the', 'luminosity', 'accretion', 'rate', 'from', 'mergers', 'over', 'all', 'companion', 'galaxy', 'subsamples', 'and', 'find', 'that', 'lrgs', 'are', 'growing', 'by', '17pm', '01', 'percent', 'per', 'gyr', 'on', 'average', 'from', 'merger', 'activity', 'at', 'redshift', 'zsim', '025', 'this', 'rate', 'is', 'almost', 'certainly', 'an', 'overestimate', 'because', 'we', 'have', 'assumed', 'that', 'all', 'close', 'pairs', 'are', 'merging', 'as', 'quickly', 'as', 'dynamical', 'friction', 'allows', 'nonetheless', 'it', 'is', 'on', 'the', 'low', 'side', 'of', 'the', 'panoply', 'of', 'measurements', 'in', 'the', 'literature', 'and', 'lower', 'than', 'any', 'rate', 'predicted', 'from', 'theory']] | [-0.05032711725646361, 0.08644270385372471, -0.08642398532236682, 0.12117814102686254, -0.11539601568480837, -0.029119644384319382, 0.02918843668413575, 0.4473423780484056, -0.11410841999587557, -0.31363567258525005, 0.028905289525036106, -0.3784081941095694, -0.04779951591049909, 0.22406079543712246, -0.0038343393915072754, -0.0399872245422254, 0.05660531400946212, -0.12121469701581576, -0.057030140517658645, -0.333447383561482, 0.31874368600085845, 0.033354702272435637, 0.16413349008212821, -0.11814645655780427, 0.07277986453007068, -0.051067013050186204, -0.11773026326402754, -0.03994903201394639, -0.19932396760237794, -0.051511390516450546, 0.2627010028966627, 0.12937559903156734, 0.2592542118745277, -0.30554906008438665, -0.1488512081601699, 0.11800751954354849, 0.23374905557841533, 0.06806487056294556, -0.10753979660846714, -0.24084260736524993, 0.11216005374392209, -0.20836164246246153, -0.09318158308753056, 0.06870461748661222, 0.03685031971487275, 0.05727257327882464, -0.1979805402728301, 0.2565977282104762, 0.035097299746462134, 0.07191379224726309, -0.0932233113269028, -0.09565715472893538, -0.12883620058094059, 0.07327209447242052, 0.022466594777028035, 0.09068481015305765, 0.20476227411517856, -0.12900512648414955, 0.009204737086956566, 0.38583296473423306, -0.040199247459059805, 0.007500059239834816, 0.2222947897011968, -0.23182141238263482, -0.1541833995019719, 0.11955753292129082, 0.20687295823776988, 0.0947118368826236, -0.17695609376102955, -0.045998385904313835, -0.009335572939357712, 0.27298948065501527, 0.04103731911897928, 0.0470123632072533, 0.3466610115877277, 0.07833600327003377, 0.07796770678979957, 0.09046609436480647, -0.19800742344326666, -0.012943428860314458, -0.22341948867720962, -0.052014444749131125, -0.1757106057107071, 0.1284131072745433, -0.1741788568115963, -0.10833240398452282, 0.32535451109026065, 0.11322042835993809, 0.25347657797560263, 0.13552861267004396, 0.3197876033289274, 0.11694375903456816, 0.14830669158071214, 0.10295706694769496, 0.314153123630194, 0.16092053819070193, 0.022889160636606887, -0.18919008450691696, 0.04054386734224118, 0.02491746000134856] |
708.3241 | Supersolid Bose-Fermi Mixtures in Optical Lattices | We study a mixture of strongly interacting bosons and spinless fermions with
on-site repulsion in a three-dimensional optical lattice. For this purpose we
develop and apply a generalized DMFT scheme, which is exact in infinite
dimensions and reliably describes the full range from weak to strong coupling.
We restrict ourselves to half filling. For weak Bose-Fermi repulsion a
supersolid forms, in which bosonic superfluidity coexists with charge-density
wave order. For stronger interspecies repulsion the bosons become localized
while the charge density wave order persists. The system is unstable against
phase separation for weak repulsion among the bosons.
| cond-mat.other | we study a mixture of strongly interacting bosons and spinless fermions with onsite repulsion in a threedimensional optical lattice for this purpose we develop and apply a generalized dmft scheme which is exact in infinite dimensions and reliably describes the full range from weak to strong coupling we restrict ourselves to half filling for weak bosefermi repulsion a supersolid forms in which bosonic superfluidity coexists with chargedensity wave order for stronger interspecies repulsion the bosons become localized while the charge density wave order persists the system is unstable against phase separation for weak repulsion among the bosons | [['we', 'study', 'a', 'mixture', 'of', 'strongly', 'interacting', 'bosons', 'and', 'spinless', 'fermions', 'with', 'onsite', 'repulsion', 'in', 'a', 'threedimensional', 'optical', 'lattice', 'for', 'this', 'purpose', 'we', 'develop', 'and', 'apply', 'a', 'generalized', 'dmft', 'scheme', 'which', 'is', 'exact', 'in', 'infinite', 'dimensions', 'and', 'reliably', 'describes', 'the', 'full', 'range', 'from', 'weak', 'to', 'strong', 'coupling', 'we', 'restrict', 'ourselves', 'to', 'half', 'filling', 'for', 'weak', 'bosefermi', 'repulsion', 'a', 'supersolid', 'forms', 'in', 'which', 'bosonic', 'superfluidity', 'coexists', 'with', 'chargedensity', 'wave', 'order', 'for', 'stronger', 'interspecies', 'repulsion', 'the', 'bosons', 'become', 'localized', 'while', 'the', 'charge', 'density', 'wave', 'order', 'persists', 'the', 'system', 'is', 'unstable', 'against', 'phase', 'separation', 'for', 'weak', 'repulsion', 'among', 'the', 'bosons']] | [-0.219058121026484, 0.2688946064427188, -0.011445416886474668, 0.14207252221225194, -0.015282176012538144, -0.20981191684367115, 0.07602456033220227, 0.3418159669783619, -0.19633859112263494, -0.17587085456596976, -0.010545741837500528, -0.3189796134301452, -0.09139429946842882, 0.05707819233696485, 0.12801415603799918, 0.011623139104316222, 0.009496929815288671, -0.0014707667383451744, -0.10275507613670887, -0.24028541338534007, 0.3355748334361874, -0.04520904323321374, 0.27113988339785755, 0.10115654832328257, 0.045279831817546454, 0.10789196353799366, 0.11916418834925466, 0.01916313997095393, -0.13847587673358389, 0.04192245234351259, 0.2198862773606304, -0.11721045856085635, 0.25388015487913, -0.4099232881262745, -0.21877683275715284, 0.10933126841873392, 0.1791282261328138, 0.21663203945421836, -0.028136133352239356, -0.35622784618249875, 0.0018150952654247432, -0.2573748202898453, -0.2081849455026929, -0.12370124971974142, 0.01781638943021349, 0.03325223461568797, -0.30563280434040446, 0.16989976732233136, 0.047584293257761937, 0.04445039881297301, -0.0941992984849422, -0.04408380170664798, -0.014994278263310259, 0.04011469616161026, 0.0313772181404236, 0.054972115330417286, 0.0441898393118274, -0.18064116312373316, -0.028277138125669864, 0.4077901508678327, -0.10014634003344271, -0.1822357501104935, 0.2792773238988113, -0.15845494666232815, -0.08385585029081431, 0.1889256115690157, 0.1627268881450609, 0.018449771669261233, -0.10583571577039619, 0.11822331269672524, -0.03368053191249048, 0.22387338693724157, 0.022327248554331127, 0.06718556001091126, 0.2713542470286034, 0.18723302414717594, 0.09044487831979683, 0.18102695370457836, -0.08320247701647662, -0.14300304747273013, -0.2619120792399362, -0.14195345851386293, -0.20231212570437604, 0.020516372411499836, -0.030904032793598126, -0.19038033933311546, 0.35619910223992063, 0.18810557959524474, 0.14101925339836618, 0.024173082414169593, 0.23805645288726718, 0.1296284488911174, 0.03715198562413301, 0.010538327224437417, 0.26856360551613123, 0.1704678953020382, 0.059193371336657516, -0.2561691945020263, -0.07962194514297641, 0.14044816136004923] |
708.3242 | Multi-Dimensional Simulations for Early Phase Spectra of Aspherical
Hypernovae: SN 1998bw and Off-Axis Hypernovae | Early phase optical spectra of aspherical jet-like supernovae (SNe) are
presented. We focus on energetic core-collapse SNe, or hypernovae. Based on
hydrodynamic and nucleosynthetic models, radiative transfer in SN atmosphere is
solved with a multi-dimensional Monte-Carlo radiative transfer code, SAMURAI.
Since the luminosity is boosted in the jet direction, the temperature there is
higher than in the equatorial plane by ~ 2,000 K. This causes anisotropic
ionization in the ejecta. Emergent spectra are different depending on viewing
angle, reflecting both aspherical abundance distribution and anisotropic
ionization. Spectra computed with an aspherical explosion model with kinetic
energy 20 x 10^{51} ergs are compatible with those of the Type Ic SN 1998bw if
~ 10-20% of the synthesized metals are mixed out to higher velocities. The
simulations enable us to predict the properties of off-axis hypernovae. Even if
an aspherical hypernova explosion is observed from the side, it should show
hypernova-like spectra but with some differences in the line velocity, the
width of the Fe absorptions and the strength of the Na I line.
| astro-ph | early phase optical spectra of aspherical jetlike supernovae sne are presented we focus on energetic corecollapse sne or hypernovae based on hydrodynamic and nucleosynthetic models radiative transfer in sn atmosphere is solved with a multidimensional montecarlo radiative transfer code samurai since the luminosity is boosted in the jet direction the temperature there is higher than in the equatorial plane by 2000 k this causes anisotropic ionization in the ejecta emergent spectra are different depending on viewing angle reflecting both aspherical abundance distribution and anisotropic ionization spectra computed with an aspherical explosion model with kinetic energy 20 x 1051 ergs are compatible with those of the type ic sn 1998bw if 1020 of the synthesized metals are mixed out to higher velocities the simulations enable us to predict the properties of offaxis hypernovae even if an aspherical hypernova explosion is observed from the side it should show hypernovalike spectra but with some differences in the line velocity the width of the fe absorptions and the strength of the na i line | [['early', 'phase', 'optical', 'spectra', 'of', 'aspherical', 'jetlike', 'supernovae', 'sne', 'are', 'presented', 'we', 'focus', 'on', 'energetic', 'corecollapse', 'sne', 'or', 'hypernovae', 'based', 'on', 'hydrodynamic', 'and', 'nucleosynthetic', 'models', 'radiative', 'transfer', 'in', 'sn', 'atmosphere', 'is', 'solved', 'with', 'a', 'multidimensional', 'montecarlo', 'radiative', 'transfer', 'code', 'samurai', 'since', 'the', 'luminosity', 'is', 'boosted', 'in', 'the', 'jet', 'direction', 'the', 'temperature', 'there', 'is', 'higher', 'than', 'in', 'the', 'equatorial', 'plane', 'by', '2000', 'k', 'this', 'causes', 'anisotropic', 'ionization', 'in', 'the', 'ejecta', 'emergent', 'spectra', 'are', 'different', 'depending', 'on', 'viewing', 'angle', 'reflecting', 'both', 'aspherical', 'abundance', 'distribution', 'and', 'anisotropic', 'ionization', 'spectra', 'computed', 'with', 'an', 'aspherical', 'explosion', 'model', 'with', 'kinetic', 'energy', '20', 'x', '1051', 'ergs', 'are', 'compatible', 'with', 'those', 'of', 'the', 'type', 'ic', 'sn', '1998bw', 'if', '1020', 'of', 'the', 'synthesized', 'metals', 'are', 'mixed', 'out', 'to', 'higher', 'velocities', 'the', 'simulations', 'enable', 'us', 'to', 'predict', 'the', 'properties', 'of', 'offaxis', 'hypernovae', 'even', 'if', 'an', 'aspherical', 'hypernova', 'explosion', 'is', 'observed', 'from', 'the', 'side', 'it', 'should', 'show', 'hypernovalike', 'spectra', 'but', 'with', 'some', 'differences', 'in', 'the', 'line', 'velocity', 'the', 'width', 'of', 'the', 'fe', 'absorptions', 'and', 'the', 'strength', 'of', 'the', 'na', 'i', 'line']] | [-0.051744665069889055, 0.14610096566423583, -0.022518507643219304, 0.14060958193080939, -0.0929264284321107, -0.14616914386587107, -0.021847493629491725, 0.49784957711201383, -0.1999403152450481, -0.2976716781168601, 0.02217601690961815, -0.31804800769862007, 0.02528040289248833, 0.20711709307506682, 0.013465720662968713, -0.09668964298770708, 0.12472384209361147, -0.07291559171178104, -0.12696801142027492, -0.23345092001425868, 0.32243430495590847, 0.10876749249394325, 0.20538250575773417, -0.0013418560573721632, 0.036891526647377756, -0.11630908752490274, -0.033701131924959445, -0.010704312810455176, -0.14689904577920543, 0.04326083369635265, 0.17140792014502307, 0.11580531498800745, 0.12304276842076112, -0.3958278970587451, -0.2635867710440995, 0.09932926508378895, 0.17475983313120463, 0.06964261162313906, -0.05238506948602769, -0.22583673631717616, 0.035396180814132094, -0.19354349714635377, -0.15624093575512663, 0.09931153785437345, 0.02039571306805181, 0.06764841534964303, -0.2162475517238764, 0.11026176848566084, 0.010475181606050361, 0.07855703537078465, -0.0812692024758743, -0.11836048023816308, -0.1354119096773074, -0.01268870804034283, 0.04887918683713959, -0.003178448247832849, 0.1146842735737343, -0.10775739684399656, -0.010464070820222226, 0.4500165076857871, -0.03835669025540804, -0.025739452368853725, 0.19249631972052156, -0.1834486765184385, -0.08627288650913055, 0.26809391216237977, 0.144064310508068, 0.11467178284519297, -0.09597928701790379, -0.005458995146224933, -0.004578702650306856, 0.15516179684029124, 0.011384981607689576, 0.035346524168134615, 0.24445996571003514, 0.11685148513985469, -0.039690867847050816, 0.047982673889354746, -0.19236183567931328, -0.014169833431129946, -0.2575527052395046, -0.12264781797934762, -0.1145467045942924, 0.16522426412933888, -0.15277938624982626, -0.14983275889912073, 0.31698772439404443, 0.09861455826800974, 0.20701893481532618, -0.03366551151197842, 0.26781823573743596, 0.0881153126630713, 0.03584838338360628, 0.14125273640349725, 0.30731301106776193, 0.1853020441814271, 0.1455723697620937, -0.2535434552071178, 0.1199947123607511, 0.07993582735824234] |
708.3243 | Large-Scale Gravitational Instability and Star Formation in the Large
Magellanic Cloud | Large-scale star formation in disk galaxies is hypothesized to be driven by
global gravitational instability. The observed gas surface density is commonly
used to compute the strength of gravitational instability, but according to
this criterion star formation often appears to occur in gravitationally stable
regions. One possible reason is that the stellar contribution to the
instability has been neglected. We have examined the gravitational instability
of the Large Magellanic Cloud (LMC) considering the gas alone, and considering
the combination of collisional gas and collisionless stars. We compare the
gravitationally unstable regions with the on-going star formation revealed by
Spitzer observations of young stellar objects. Although only 62% of the massive
young stellar object candidates are in regions where the gas alone is unstable,
some 85% lie in regions unstable due to the combination of gas and stars. The
combined stability analysis better describes where star formation occurs. In
agreement with other observations and numerical models, a small fraction of the
star formation occurs in regions with gravitational stability parameter Q > 1.
We further measure the dependence of the star formation timescale on the
strength of gravitational instability, and quantitatively compare it to the
exponential dependence expected from numerical simulations.
| astro-ph | largescale star formation in disk galaxies is hypothesized to be driven by global gravitational instability the observed gas surface density is commonly used to compute the strength of gravitational instability but according to this criterion star formation often appears to occur in gravitationally stable regions one possible reason is that the stellar contribution to the instability has been neglected we have examined the gravitational instability of the large magellanic cloud lmc considering the gas alone and considering the combination of collisional gas and collisionless stars we compare the gravitationally unstable regions with the ongoing star formation revealed by spitzer observations of young stellar objects although only 62 of the massive young stellar object candidates are in regions where the gas alone is unstable some 85 lie in regions unstable due to the combination of gas and stars the combined stability analysis better describes where star formation occurs in agreement with other observations and numerical models a small fraction of the star formation occurs in regions with gravitational stability parameter q 1 we further measure the dependence of the star formation timescale on the strength of gravitational instability and quantitatively compare it to the exponential dependence expected from numerical simulations | [['largescale', 'star', 'formation', 'in', 'disk', 'galaxies', 'is', 'hypothesized', 'to', 'be', 'driven', 'by', 'global', 'gravitational', 'instability', 'the', 'observed', 'gas', 'surface', 'density', 'is', 'commonly', 'used', 'to', 'compute', 'the', 'strength', 'of', 'gravitational', 'instability', 'but', 'according', 'to', 'this', 'criterion', 'star', 'formation', 'often', 'appears', 'to', 'occur', 'in', 'gravitationally', 'stable', 'regions', 'one', 'possible', 'reason', 'is', 'that', 'the', 'stellar', 'contribution', 'to', 'the', 'instability', 'has', 'been', 'neglected', 'we', 'have', 'examined', 'the', 'gravitational', 'instability', 'of', 'the', 'large', 'magellanic', 'cloud', 'lmc', 'considering', 'the', 'gas', 'alone', 'and', 'considering', 'the', 'combination', 'of', 'collisional', 'gas', 'and', 'collisionless', 'stars', 'we', 'compare', 'the', 'gravitationally', 'unstable', 'regions', 'with', 'the', 'ongoing', 'star', 'formation', 'revealed', 'by', 'spitzer', 'observations', 'of', 'young', 'stellar', 'objects', 'although', 'only', '62', 'of', 'the', 'massive', 'young', 'stellar', 'object', 'candidates', 'are', 'in', 'regions', 'where', 'the', 'gas', 'alone', 'is', 'unstable', 'some', '85', 'lie', 'in', 'regions', 'unstable', 'due', 'to', 'the', 'combination', 'of', 'gas', 'and', 'stars', 'the', 'combined', 'stability', 'analysis', 'better', 'describes', 'where', 'star', 'formation', 'occurs', 'in', 'agreement', 'with', 'other', 'observations', 'and', 'numerical', 'models', 'a', 'small', 'fraction', 'of', 'the', 'star', 'formation', 'occurs', 'in', 'regions', 'with', 'gravitational', 'stability', 'parameter', 'q', '1', 'we', 'further', 'measure', 'the', 'dependence', 'of', 'the', 'star', 'formation', 'timescale', 'on', 'the', 'strength', 'of', 'gravitational', 'instability', 'and', 'quantitatively', 'compare', 'it', 'to', 'the', 'exponential', 'dependence', 'expected', 'from', 'numerical', 'simulations']] | [-0.1252288749220959, 0.12573309019488754, -0.07254427016230684, 0.12422000326905938, -0.08720287717598017, -0.025194309724391854, 0.023449232986655518, 0.33138738778518073, -0.1999036236689543, -0.32155382120279813, 0.06439047757110292, -0.24153731537874013, -0.07557891586318088, 0.16245615041005101, -0.0114092179082671, -0.017517721842057143, 0.06545997511866929, -0.037140266862159696, -0.015867047046074858, -0.2702260927634136, 0.34349084032896027, 0.09813527810625994, 0.1645225072139172, -0.008472186022136247, 0.01957188276149158, -0.13721418229104884, -0.07718957331962883, -0.008467186973923081, -0.2197632427017942, 0.009202122306872403, 0.20533501329778325, 0.10783109064307532, 0.23718917954610147, -0.4013883605150122, -0.23197593823562015, 0.07478018683245659, 0.2142797372661924, 0.07592571196824911, -0.07656362784798866, -0.2657988858017275, 0.07995909720135094, -0.1969639277881264, -0.17589279893556395, 0.02639946944205191, 0.074166117535539, 0.041282198682600565, -0.26085911871676437, 0.16169183884616287, 0.026277800067210918, 0.03939991591886697, -0.13942485145789257, -0.02748916115396511, -0.0964070930503702, 0.04990166736282314, 0.06264470466155203, 0.0950750200283812, 0.2201784575274963, -0.1593867549099421, -0.01334114536530708, 0.41744086811852515, -0.07620352042848291, -0.08212745014634264, 0.29942808253222597, -0.24463837042020345, -0.1485135055301552, 0.17615170788544057, 0.13662442843425066, 0.12084942949168272, -0.09976576649157995, 0.002564012101937984, 0.004841892801613627, 0.1718680036953889, 0.07554888311333617, 0.04315218967048483, 0.35047487499913077, 0.16750120897379578, 0.008250722403043703, 0.13397821260764772, -0.18953645712229183, -0.12701774553083417, -0.2174238931790144, -0.058145875981704676, -0.1215263686526623, 0.02114675373562036, -0.099315400139049, -0.11785916622550269, 0.2945930102896226, 0.1084194052285847, 0.20212100914225506, -0.0183960148683239, 0.30112240425119147, 0.10121392798884983, 0.10899650391914306, 0.10716714965946353, 0.34230132657293366, 0.19045150970066688, 0.05134693602153835, -0.2916233512238323, 0.09936814184707762, 0.014250986063946506] |
708.3244 | About the Power to Enforce and Prevent Consensus by Manipulating
Communication Rules | We explore the possibilities of enforcing and preventing consensus in
continuous opinion dynamics that result from modifications in the communication
rules. We refer to the model of Weisbuch and Deffuant, where $n$ agents adjust
their continuous opinions as a result of random pairwise encounters whenever
their opinions differ not more than a given bound of confidence $\eps$. A high
$\eps$ leads to consensus, while a lower $\eps$ leads to a fragmentation into
several opinion clusters. We drop the random encounter assumption and ask: How
small may $\eps$ be such that consensus is still possible with a certain
communication plan for the entire group? Mathematical analysis shows that
$\eps$ may be significantly smaller than in the random pairwise case. On the
other hand we ask: How large may $\eps$ be such that preventing consensus is
still possible? In answering this question we prove Fortunato's simulation
result that consensus cannot be prevented for $\eps>0.5$ for large groups. %
Next we consider opinion dynamics under different individual strategies and
examine their power to increase the chances of consensus. One result is that
balancing agents increase chances of consensus, especially if the agents are
cautious in adapting their opinions. However, curious agents increase chances
of consensus only if those agents are not cautious in adapting their opinions.
| physics.soc-ph | we explore the possibilities of enforcing and preventing consensus in continuous opinion dynamics that result from modifications in the communication rules we refer to the model of weisbuch and deffuant where n agents adjust their continuous opinions as a result of random pairwise encounters whenever their opinions differ not more than a given bound of confidence eps a high eps leads to consensus while a lower eps leads to a fragmentation into several opinion clusters we drop the random encounter assumption and ask how small may eps be such that consensus is still possible with a certain communication plan for the entire group mathematical analysis shows that eps may be significantly smaller than in the random pairwise case on the other hand we ask how large may eps be such that preventing consensus is still possible in answering this question we prove fortunatos simulation result that consensus cannot be prevented for eps05 for large groups next we consider opinion dynamics under different individual strategies and examine their power to increase the chances of consensus one result is that balancing agents increase chances of consensus especially if the agents are cautious in adapting their opinions however curious agents increase chances of consensus only if those agents are not cautious in adapting their opinions | [['we', 'explore', 'the', 'possibilities', 'of', 'enforcing', 'and', 'preventing', 'consensus', 'in', 'continuous', 'opinion', 'dynamics', 'that', 'result', 'from', 'modifications', 'in', 'the', 'communication', 'rules', 'we', 'refer', 'to', 'the', 'model', 'of', 'weisbuch', 'and', 'deffuant', 'where', 'n', 'agents', 'adjust', 'their', 'continuous', 'opinions', 'as', 'a', 'result', 'of', 'random', 'pairwise', 'encounters', 'whenever', 'their', 'opinions', 'differ', 'not', 'more', 'than', 'a', 'given', 'bound', 'of', 'confidence', 'eps', 'a', 'high', 'eps', 'leads', 'to', 'consensus', 'while', 'a', 'lower', 'eps', 'leads', 'to', 'a', 'fragmentation', 'into', 'several', 'opinion', 'clusters', 'we', 'drop', 'the', 'random', 'encounter', 'assumption', 'and', 'ask', 'how', 'small', 'may', 'eps', 'be', 'such', 'that', 'consensus', 'is', 'still', 'possible', 'with', 'a', 'certain', 'communication', 'plan', 'for', 'the', 'entire', 'group', 'mathematical', 'analysis', 'shows', 'that', 'eps', 'may', 'be', 'significantly', 'smaller', 'than', 'in', 'the', 'random', 'pairwise', 'case', 'on', 'the', 'other', 'hand', 'we', 'ask', 'how', 'large', 'may', 'eps', 'be', 'such', 'that', 'preventing', 'consensus', 'is', 'still', 'possible', 'in', 'answering', 'this', 'question', 'we', 'prove', 'fortunatos', 'simulation', 'result', 'that', 'consensus', 'can', 'not', 'be', 'prevented', 'for', 'eps05', 'for', 'large', 'groups', 'next', 'we', 'consider', 'opinion', 'dynamics', 'under', 'different', 'individual', 'strategies', 'and', 'examine', 'their', 'power', 'to', 'increase', 'the', 'chances', 'of', 'consensus', 'one', 'result', 'is', 'that', 'balancing', 'agents', 'increase', 'chances', 'of', 'consensus', 'especially', 'if', 'the', 'agents', 'are', 'cautious', 'in', 'adapting', 'their', 'opinions', 'however', 'curious', 'agents', 'increase', 'chances', 'of', 'consensus', 'only', 'if', 'those', 'agents', 'are', 'not', 'cautious', 'in', 'adapting', 'their', 'opinions']] | [-0.13794555302910172, 0.1376349829706712, -0.08967968339036479, 0.08268273527230803, -0.10465865429287767, -0.18279567600108718, 0.13875118146459595, 0.40621083017473963, -0.26732821962950637, -0.3194829506084535, 0.09277807412364507, -0.2441764677636396, -0.1585451146130896, 0.11895650921177596, -0.11052164947393381, 0.010290307112002824, 0.09599749238552499, 0.08089311178155703, 0.038162261147771506, -0.34423424012327825, 0.3036836488084135, 0.030042290963426727, 0.2179074994910738, 0.030787005070188653, 0.036416970557528794, 0.002392122621308147, -0.008935535551706479, 0.030431836362380834, -0.11565548940047223, 0.060259362541181055, 0.2886128179272151, 0.20039896039243663, 0.387296164620191, -0.4375501087473891, -0.17234521998717092, 0.18492583688447845, 0.1846418116314522, 0.1390741937297233, -0.010583119868906105, -0.26755084178379573, 0.11432289434207926, -0.19005148982302555, -0.11748109584228993, -0.05668450404020353, 0.011910401128002958, 0.061699782636389575, -0.2668802437142985, 0.04607822370861096, 0.1147295172586684, 0.028064269128904383, -0.04796394283753065, -0.09325671815247191, -0.003511259043191988, 0.17900512918335568, 0.06425511156941513, 0.011902550798156674, 0.1529658100307341, -0.16787377215168214, -0.13554600083767945, 0.40293387820617566, -0.01147770840893676, -0.1971267961303293, 0.21457059254816852, -0.14021486312733583, -0.15831713550955817, 0.08839495241050542, 0.19625973075151584, 0.08643080577942856, -0.1294406370449617, 0.016322730425789387, -0.04468091467827982, 0.19263866191323828, 0.06607787891057147, 0.019038226266206194, 0.17843032270334486, 0.14426538517248433, 0.14231194505938086, 0.04336370496212845, 0.03487106592954971, -0.15367202830922425, -0.19367260227566893, -0.1051462363836276, -0.17320432062967023, 0.067353272351193, -0.1272479625023191, -0.12929476292746503, 0.3448365211831097, 0.19956514229545572, 0.2214764487441084, 0.10502041853364046, 0.24002873828034335, 0.07598653915878915, 0.01808245409328614, 0.107297590315801, 0.24815206723155286, 0.017626641565377677, 0.03523247131870362, -0.16078755258962124, 0.17899948508054972, -0.004071512378716921] |
708.3245 | Surface modes and breathers in finite arrays of nonlinear waveguides | We present the complete set of symmetric and antisymmetric (edge and corner)
surface modes in finite one-- and two--dimensional arrays of waveguides. We
provide classification of the modes based on the anti-continuum limit, study
their stability and bifurcations, and discuss relation between surface and bulk
modes. We put forward existence of surface breathers, which represent
two-frequency modes localized about the array edges.
| cond-mat.other nlin.PS | we present the complete set of symmetric and antisymmetric edge and corner surface modes in finite one and twodimensional arrays of waveguides we provide classification of the modes based on the anticontinuum limit study their stability and bifurcations and discuss relation between surface and bulk modes we put forward existence of surface breathers which represent twofrequency modes localized about the array edges | [['we', 'present', 'the', 'complete', 'set', 'of', 'symmetric', 'and', 'antisymmetric', 'edge', 'and', 'corner', 'surface', 'modes', 'in', 'finite', 'one', 'and', 'twodimensional', 'arrays', 'of', 'waveguides', 'we', 'provide', 'classification', 'of', 'the', 'modes', 'based', 'on', 'the', 'anticontinuum', 'limit', 'study', 'their', 'stability', 'and', 'bifurcations', 'and', 'discuss', 'relation', 'between', 'surface', 'and', 'bulk', 'modes', 'we', 'put', 'forward', 'existence', 'of', 'surface', 'breathers', 'which', 'represent', 'twofrequency', 'modes', 'localized', 'about', 'the', 'array', 'edges']] | [-0.2174806349700497, 0.13814326580764064, -0.06261578329928941, 0.02184812225882084, -0.07882822864508678, -0.12728697198232816, 0.07968612528601361, 0.3673454486734925, -0.19635016239819028, -0.21353782473071928, 0.14114954372710217, -0.30923378411980884, -0.16649031224885896, 0.1526814317330718, 0.042461391181624945, 0.04162408498157146, 0.07301405953964399, -0.03608541877427694, -0.03820915814609297, -0.13335762246541918, 0.334308564873232, -0.031882695958859494, 0.32431312760097847, 0.060006949434717814, 0.04487208784332559, 0.018918054253463785, 0.011107782052168924, -0.019608504289100246, -0.19768963603963774, 0.13519959799164244, 0.22979297476910776, -0.005726932780817151, 0.1671451172460952, -0.5336635922712665, -0.17239062896659296, 0.07465281417112678, 0.13637939178114455, 0.13349931267082632, -0.019962697175346437, -0.3115632859689574, 0.06651023288647975, -0.0846910779364407, -0.17546645827561377, -0.05640414607290539, 0.015583665733556113, 0.01511889577077161, -0.17341642945088567, 0.07456001890222391, 0.11753522242689805, 0.06421465698569533, -0.05930421246035445, -0.07358221302650148, -0.14400572243762472, 0.11279736241445906, 0.024565466859888647, -0.0807288815267384, 0.0680571137176406, -0.08785057218084412, -0.11908605157007132, 0.32751500935504035, -0.08259806406473921, -0.213606990483259, 0.2451117800496098, -0.17859932349153584, -0.02230340530795436, 0.10307961086472196, 0.23959346277819527, 0.09622428241621697, -0.04938967803384237, 0.050800955135210026, -0.03395891652232216, 0.13032029720676702, 0.15060601725934014, 0.11396953268277069, 0.2965223404068139, 0.17968859699284356, 0.09913482981914233, 0.19205408022859163, -0.12907292360004277, -0.01914585984852766, -0.32049969024956226, -0.14385621601174917, -0.16686146523082449, -0.018756608846747586, -0.0642258935263418, -0.22769228444104234, 0.4627311487471865, 0.05206949708442534, 0.18242929160084215, 0.026780123985748017, 0.205195042184524, 0.1285558312799455, 0.0006882539131648598, 0.09584100847132504, 0.2645380076982321, 0.215478683641601, 0.008256093456199574, -0.26299371024323326, -0.1076639186883826, 0.09564382447710922] |
708.3246 | Transversity quark distributions in a covariant quark-diquark model | Transversity quark light-cone momentum distributions are calculated for the
nucleon. We utilize a modified Nambu--Jona-Lasinio model in which confinement
is simulated by eliminating unphysical thresholds for nucleon decay into
quarks. The nucleon bound state is obtained by solving the relativistic Faddeev
equation in the quark-diquark approximation, where both scalar and axial-vector
diquark channels are included. Particular attention is paid to comparing our
results with the recent experimental extraction of the transversity
distributions by Anselmino et al. We also compare our transversity results with
earlier spin-independent and helicity quark distributions calculated in the
same approach.
| hep-ph | transversity quark lightcone momentum distributions are calculated for the nucleon we utilize a modified nambujonalasinio model in which confinement is simulated by eliminating unphysical thresholds for nucleon decay into quarks the nucleon bound state is obtained by solving the relativistic faddeev equation in the quarkdiquark approximation where both scalar and axialvector diquark channels are included particular attention is paid to comparing our results with the recent experimental extraction of the transversity distributions by anselmino et al we also compare our transversity results with earlier spinindependent and helicity quark distributions calculated in the same approach | [['transversity', 'quark', 'lightcone', 'momentum', 'distributions', 'are', 'calculated', 'for', 'the', 'nucleon', 'we', 'utilize', 'a', 'modified', 'nambujonalasinio', 'model', 'in', 'which', 'confinement', 'is', 'simulated', 'by', 'eliminating', 'unphysical', 'thresholds', 'for', 'nucleon', 'decay', 'into', 'quarks', 'the', 'nucleon', 'bound', 'state', 'is', 'obtained', 'by', 'solving', 'the', 'relativistic', 'faddeev', 'equation', 'in', 'the', 'quarkdiquark', 'approximation', 'where', 'both', 'scalar', 'and', 'axialvector', 'diquark', 'channels', 'are', 'included', 'particular', 'attention', 'is', 'paid', 'to', 'comparing', 'our', 'results', 'with', 'the', 'recent', 'experimental', 'extraction', 'of', 'the', 'transversity', 'distributions', 'by', 'anselmino', 'et', 'al', 'we', 'also', 'compare', 'our', 'transversity', 'results', 'with', 'earlier', 'spinindependent', 'and', 'helicity', 'quark', 'distributions', 'calculated', 'in', 'the', 'same', 'approach']] | [-0.025522862954877636, 0.24340260720395662, -0.12892370812713783, 0.15456263950228336, -0.08411317633246963, -0.0900501508731395, 0.04133157546760792, 0.37094237828785753, -0.088109023477684, -0.23202161368061888, -0.12001720384788758, -0.3006976668901266, -0.027561580356051947, 0.07735587692908705, 0.08039810689800281, 0.13806451491496347, 0.06418986060220669, -0.027491453180505717, -0.07083768082009827, -0.2480431661564619, 0.391209272875827, 0.011618392859050568, 0.24876014332465352, 0.16931336538549116, 0.025035175034142237, 0.0689446944991087, -0.09427294108342935, -0.09591648802396524, -0.11221587603436188, 0.05859211004993066, 0.18634337613215432, 0.03615778844625233, 0.09525018385512397, -0.387593763583201, -0.21121962857432663, 0.04198007400028725, 0.1683481020773662, 0.15541962622491484, -0.02897834902668887, -0.3631119499319887, 0.06121917277019709, -0.2614903052515806, -0.14353448468101945, -0.17620363103800474, 0.0022260843617643447, 0.008727135255615762, -0.34804092174237394, 0.11429932374387058, -0.024521842021792334, -0.05786700705264477, -0.0811889692843753, -0.3243701572361541, -0.0572178424880939, 0.014981341612663991, 0.10125968566763789, 0.13605363106731563, 0.11697222009558786, -0.18794100610242087, -0.14244652603024696, 0.39101056536619966, -0.033120309129020475, -0.28088559106331656, 0.02440155930123589, -0.1727684153481684, -0.11829960852504727, 0.060110433906455464, 0.17386649168552237, 0.0892043124062029, -0.2209378920911633, 0.10625210064190856, -0.09303391626491113, 0.11875548120030757, 0.13234694436826605, 0.025268069488254, 0.13853171872014694, 0.16133884670202958, -0.09701477865034595, 0.08066391412347079, -0.07368766534033212, -0.1827121579188586, -0.3551860479142596, -0.041478813918458514, -0.18862998190316113, 0.0012902180723687435, -0.09080887277718346, -0.04690209971839919, 0.38566650640457234, 0.10713845463915471, 0.22523163274881688, 0.013598261630172505, 0.3417058327492881, 0.14617544163744203, 0.058222874543292724, 0.13119818076511172, 0.2852799990412561, 0.24448904576166433, 0.13408365417737825, -0.2810112268396435, 0.01470883087715768, 0.1081461228499625] |
708.3247 | A new integrable generalization of the Korteweg - de Vries equation | A new integrable sixth-order nonlinear wave equation is discovered by means
of the Painleve analysis, which is equivalent to the Korteweg - de Vries
equation with a source. A Lax representation and a Backlund self-transformation
are found of the new equation, and its travelling wave solutions and
generalized symmetries are studied.
| nlin.SI math-ph math.AP math.MP nlin.PS | a new integrable sixthorder nonlinear wave equation is discovered by means of the painleve analysis which is equivalent to the korteweg de vries equation with a source a lax representation and a backlund selftransformation are found of the new equation and its travelling wave solutions and generalized symmetries are studied | [['a', 'new', 'integrable', 'sixthorder', 'nonlinear', 'wave', 'equation', 'is', 'discovered', 'by', 'means', 'of', 'the', 'painleve', 'analysis', 'which', 'is', 'equivalent', 'to', 'the', 'korteweg', 'de', 'vries', 'equation', 'with', 'a', 'source', 'a', 'lax', 'representation', 'and', 'a', 'backlund', 'selftransformation', 'are', 'found', 'of', 'the', 'new', 'equation', 'and', 'its', 'travelling', 'wave', 'solutions', 'and', 'generalized', 'symmetries', 'are', 'studied']] | [-0.19106373730488596, 0.033793315177365224, -0.1041583025409859, 0.10664375051285843, -0.20843785704702747, -0.20451208434960977, -0.11791439354419708, 0.2135743831797522, -0.3017789580840237, -0.1967811404385281, 0.13071971199456223, -0.34476488807751815, -0.21028739031480284, 0.15962446087553184, 0.04689457647654475, 0.12626753857582618, 0.04477433495375575, 0.028934218027457898, -0.13489350591006935, -0.1965425701013633, 0.3536481473366825, -0.03377310818830999, 0.23284152175337836, -0.04677748436830482, 0.22237511594988862, -0.057917752939903616, -0.003507874050766838, -0.06079552132560282, -0.1445985684855556, 0.05311516459499087, 0.25299153322049855, 0.06672623449442339, 0.2195024237949021, -0.34914699865847215, -0.24187793873478564, 0.04134630235102104, 0.18818024186683552, 0.17444120887999556, -0.06945873669595742, -0.44179849144147365, 0.010773898180745239, -0.1390494396339874, -0.27769014647002427, -0.040799191855939526, 0.035517464182814776, 0.15929445520765623, -0.20995927356392602, 0.1489332699958159, 0.048835799107518126, -0.04159296334398036, -0.12743723415532054, -0.03719238806705998, -0.12465234598791113, -0.08321042060471918, 0.01884111748742206, 0.005104353014683845, -0.06518900287052502, -0.12644526373823078, -0.0713975554883328, 0.4275123507772781, -0.07693488572781183, -0.2944353459288879, 0.1337967393349628, -0.016571906955950722, -0.10185297819006504, 0.16927710093785914, 0.12749089246463716, 0.12596665914835675, -0.23583340852008183, 0.1329554617939498, -0.04451059818930677, 0.15864487833400465, 0.16602549684823167, -0.04758995185173782, 0.1378516748319475, 0.13357701506085543, 0.010674623392370283, 0.11370857500908327, 0.025297272608292346, -0.14222047947423191, -0.32037666603466686, -0.2020314695807744, -0.11707389337599886, 0.06969854218008624, -0.05861300693460198, -0.16373610624815432, 0.43064964861057853, 0.05307671556971511, 0.06646367569444511, 0.04295904123062762, 0.13656142688527398, 0.291297086495526, 0.025033887133610492, 0.057381508453768125, 0.20164911416644343, 0.23908065440969503, 0.1641201441157229, -0.23427166327910157, -0.07267309047224722, 0.23682048192665894] |
708.3248 | Electroweak Symmetry Breaking in the E6SSM | The Exceptional Supersymmetric Standard Model (E6SSM) is an E6 inspired model
with an extra gauged U(1) symmetry, which solves the mu-problem in a similar
way to the NMSSM but without the accompanying problems of singlet tadpoles or
domain walls. It predicts new exotic particles at the TeV scale. We investigate
the Renormalisation Group Evolution of the model and test electroweak symmetry
breaking for a selection of interesting scenarios with non-universal Higgs
masses at the GUT scale. We present a detailed particle spectrum that could be
observed at the LHC.
| hep-ph | the exceptional supersymmetric standard model e6ssm is an e6 inspired model with an extra gauged u1 symmetry which solves the muproblem in a similar way to the nmssm but without the accompanying problems of singlet tadpoles or domain walls it predicts new exotic particles at the tev scale we investigate the renormalisation group evolution of the model and test electroweak symmetry breaking for a selection of interesting scenarios with nonuniversal higgs masses at the gut scale we present a detailed particle spectrum that could be observed at the lhc | [['the', 'exceptional', 'supersymmetric', 'standard', 'model', 'e6ssm', 'is', 'an', 'e6', 'inspired', 'model', 'with', 'an', 'extra', 'gauged', 'u1', 'symmetry', 'which', 'solves', 'the', 'muproblem', 'in', 'a', 'similar', 'way', 'to', 'the', 'nmssm', 'but', 'without', 'the', 'accompanying', 'problems', 'of', 'singlet', 'tadpoles', 'or', 'domain', 'walls', 'it', 'predicts', 'new', 'exotic', 'particles', 'at', 'the', 'tev', 'scale', 'we', 'investigate', 'the', 'renormalisation', 'group', 'evolution', 'of', 'the', 'model', 'and', 'test', 'electroweak', 'symmetry', 'breaking', 'for', 'a', 'selection', 'of', 'interesting', 'scenarios', 'with', 'nonuniversal', 'higgs', 'masses', 'at', 'the', 'gut', 'scale', 'we', 'present', 'a', 'detailed', 'particle', 'spectrum', 'that', 'could', 'be', 'observed', 'at', 'the', 'lhc']] | [-0.10142301844061467, 0.21481081092333829, -0.07410893536413486, 0.18395086732206425, -0.1294776245721438, -0.21408381751539668, -0.018341864404279026, 0.33128370060009904, -0.22368063095412896, -0.3494297234404288, 0.0737453137349149, -0.24103574750924042, -0.04794483352714124, 0.06680647043767647, 0.009831192976470744, 0.03827323948080243, -0.005494391355987931, 0.005733640859259314, -0.07003531623056179, -0.22034435930368856, 0.287250348612708, 0.036017401196229995, 0.21549651480876328, 0.06532513591188811, 0.0944076316860201, -0.045370100887513226, 0.040676405799857686, -0.10492647963502769, -0.1086932076747023, 0.08287117505718149, 0.1394995084409131, 0.03176473297461281, 0.11378511611183875, -0.3651546977585956, -0.22255404342719343, 0.17622245905732506, 0.18772459251994497, 0.15122969567205422, -0.10663992286466188, -0.33280896196623194, 0.0938643894519322, -0.1973340632240262, -0.1848972113698386, -0.04199003810690862, -0.0761836810675816, -0.1969996127038357, -0.3204088342020267, 0.11599531837247229, -0.05322652835440769, 0.0614192278720857, -0.021020031280376102, -0.09384116004587392, -0.07971776290953661, -0.01522550193770799, 0.18710316133062785, -0.0007226088272637866, 0.16646613701497823, -0.22690219786593668, -0.18432739220580527, 0.4592772443161419, -0.04784266481678305, -0.1459665384138359, 0.18927761934320914, -0.12908011442377348, -0.2068923010459442, 0.10865932285492674, 0.1701225590646225, 0.07074368128218175, -0.14154934219681145, 0.221026152889689, -0.07854285169120752, 0.18767877909344402, 0.00443512989270888, -0.002771647445585453, 0.2688933350145817, 0.22843794188765662, 0.05214784069384417, 0.06845045576180761, -0.019174943400777123, -0.09904681498268514, -0.46832351481641404, -0.10534249534935095, -0.06568239881458242, 0.033326231126328196, -0.09992603752536443, -0.09717925353331512, 0.4518718362545197, 0.1450188204834468, 0.2479676991763912, 0.03441764482982415, 0.22027672956477892, 0.05577116985962297, 0.15060463088119516, 0.02303236953160736, 0.24950497209230502, 0.03945794165804145, 0.08406050882061546, -0.2605631994031202, -0.08309163423673657, 0.10108867751727446] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.