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 |
|---|---|---|---|---|---|---|
708.3049 | Photoabsorption in a plasma in a high magnetic field | Photo-absorption in fully ionized plasmas in high magnetic fields is
re-examined, using the methods of many-body quantum field theory. For
frequencies in the immediate vicinity of the electron cyclotron resonance the
rates we obtain disagree markedly from those in the literature. The new element
in our work that causes most of the disagreement is the inclusion of the lowest
order real part of the energy-shift of the resonant state, where, in effect,
previous authors had included only the imaginary part. In a region around and
below the proton cyclotron resonance our results also disagree with those of
previous authors, for a number of reasons.
| astro-ph | photoabsorption in fully ionized plasmas in high magnetic fields is reexamined using the methods of manybody quantum field theory for frequencies in the immediate vicinity of the electron cyclotron resonance the rates we obtain disagree markedly from those in the literature the new element in our work that causes most of the disagreement is the inclusion of the lowest order real part of the energyshift of the resonant state where in effect previous authors had included only the imaginary part in a region around and below the proton cyclotron resonance our results also disagree with those of previous authors for a number of reasons | [['photoabsorption', 'in', 'fully', 'ionized', 'plasmas', 'in', 'high', 'magnetic', 'fields', 'is', 'reexamined', 'using', 'the', 'methods', 'of', 'manybody', 'quantum', 'field', 'theory', 'for', 'frequencies', 'in', 'the', 'immediate', 'vicinity', 'of', 'the', 'electron', 'cyclotron', 'resonance', 'the', 'rates', 'we', 'obtain', 'disagree', 'markedly', 'from', 'those', 'in', 'the', 'literature', 'the', 'new', 'element', 'in', 'our', 'work', 'that', 'causes', 'most', 'of', 'the', 'disagreement', 'is', 'the', 'inclusion', 'of', 'the', 'lowest', 'order', 'real', 'part', 'of', 'the', 'energyshift', 'of', 'the', 'resonant', 'state', 'where', 'in', 'effect', 'previous', 'authors', 'had', 'included', 'only', 'the', 'imaginary', 'part', 'in', 'a', 'region', 'around', 'and', 'below', 'the', 'proton', 'cyclotron', 'resonance', 'our', 'results', 'also', 'disagree', 'with', 'those', 'of', 'previous', 'authors', 'for', 'a', 'number', 'of', 'reasons']] | [-0.09676882524777633, 0.1166726209787437, -0.032767228777699456, 0.04783357253584724, -0.024246348708402365, -0.03820554035561285, 0.04411780532525601, 0.33291766457617855, -0.1693095432139951, -0.2905508183623449, 0.03282965313253673, -0.3265196753021043, -0.0871660073977322, 0.23232009505031434, 0.0011740161815116433, 0.022757736496994488, 0.034711894794152334, 0.07079358658610055, -0.03378126141391336, -0.20112116042023095, 0.3580144230106201, 0.06626665468950076, 0.22830673637620819, 0.07933045706998271, 0.0034681020591121456, -0.017040066595654935, 0.0006106303570469698, 0.009237615642352747, -0.08812882070119835, 0.10200086955984052, 0.272256413033644, 0.018380580577426232, 0.25021932093211663, -0.4229769639227575, -0.21371647150506481, 0.03487203734067197, 0.1590436346596107, 0.15671877775009938, -0.038677830563616365, -0.25773122498241297, 0.05113853611804258, -0.16953923782477012, -0.15077263362204227, -0.001121454370709566, 0.02015075187060015, 0.0010362958911663066, -0.2396231110816678, 0.12189995062446822, 0.05467001429664938, 0.09022735460446431, -0.12154353297843884, -0.17955142265866295, 0.020890366648717854, 0.10678198540923543, 0.08732956256090592, 0.04616469670704996, 0.1501874907743723, -0.13569083263148338, -0.12413743560990462, 0.34567677501539806, -0.07155369289886529, -0.12061719135202181, 0.1963489408327195, -0.27653656866795456, -0.12184978018138701, 0.1799814827614822, 0.11811928382107559, 0.12463332437884954, -0.08838210424605328, 0.10077529637391518, -0.03886359829056556, 0.15074854000704363, 0.06695776286785705, 0.03660154142058813, 0.17835413886664006, 0.11835495255386028, -0.01961998040161024, 0.08695467889908916, -0.09703777675391533, -0.09188188338437332, -0.30435285586197725, -0.13062125840224326, -0.1749869637692777, -0.0073631319403200625, -0.007677079975250168, -0.1346156265040358, 0.4041235794743093, 0.1891760871579978, 0.19823475523914497, -0.05336716283076944, 0.3024626935366541, 0.1391588230639732, 0.05884912585875449, 0.050986021058633924, 0.3427798100120316, 0.163227992821843, 0.11961875907861842, -0.2576680514858498, 0.04216736706887157, 0.027884741827550057] |
708.305 | Entangled-like Chain Dynamics in Non-entangled Polymer Blends with Large
Dynamic Asymmetry | We discuss simulations of a simple model for polymer blends in the framework
of the Rouse model. At odds with standard predictions, large dynamic asymmetry
between the two components induces strong non-exponentiality of the Rouse modes
for the fast component. Despite chains being much shorter than the entanglement
length, it also induces dynamic features resembling a crossover to
entangled-like chain dynamics. This unusual behavior is associated to strong
memory effects which break down the assumption of time uncorrelation of the
external forces acting on the tagged chain.
| cond-mat.soft | we discuss simulations of a simple model for polymer blends in the framework of the rouse model at odds with standard predictions large dynamic asymmetry between the two components induces strong nonexponentiality of the rouse modes for the fast component despite chains being much shorter than the entanglement length it also induces dynamic features resembling a crossover to entangledlike chain dynamics this unusual behavior is associated to strong memory effects which break down the assumption of time uncorrelation of the external forces acting on the tagged chain | [['we', 'discuss', 'simulations', 'of', 'a', 'simple', 'model', 'for', 'polymer', 'blends', 'in', 'the', 'framework', 'of', 'the', 'rouse', 'model', 'at', 'odds', 'with', 'standard', 'predictions', 'large', 'dynamic', 'asymmetry', 'between', 'the', 'two', 'components', 'induces', 'strong', 'nonexponentiality', 'of', 'the', 'rouse', 'modes', 'for', 'the', 'fast', 'component', 'despite', 'chains', 'being', 'much', 'shorter', 'than', 'the', 'entanglement', 'length', 'it', 'also', 'induces', 'dynamic', 'features', 'resembling', 'a', 'crossover', 'to', 'entangledlike', 'chain', 'dynamics', 'this', 'unusual', 'behavior', 'is', 'associated', 'to', 'strong', 'memory', 'effects', 'which', 'break', 'down', 'the', 'assumption', 'of', 'time', 'uncorrelation', 'of', 'the', 'external', 'forces', 'acting', 'on', 'the', 'tagged', 'chain']] | [-0.15988584889377327, 0.19900285094794443, -0.09862853617717822, 0.08271979422833042, -0.061186264568789936, -0.189455383489358, 0.0012222269306430358, 0.3779989604720439, -0.3034059580886501, -0.24726497159264554, 0.04154079817315756, -0.2706664128164793, -0.09261141413683607, 0.14856147464771552, 0.06274721066563807, -0.01448598011643037, 0.05178184659038296, 0.014273225972107772, -0.037825405983061625, -0.10798591417635138, 0.22017531638601046, 0.07789864118382249, 0.32192803007261506, 0.029212872492384977, 0.10814945166930556, 0.01409886540288384, 0.025404185409277635, 0.03252418959063703, -0.1242553256345035, 0.05702941972847985, 0.13302492513588962, 0.005333299978753959, 0.2396952041649613, -0.46046894803728866, -0.2002380926579494, 0.11087806174938364, 0.11454288782444837, 0.14363561281479423, 0.035909025462868824, -0.2510291599165434, 0.046141805416294215, -0.16301140886592283, -0.1440038413194747, -0.0331968558074414, 0.06093761509006051, 0.023309000925664073, -0.24691473502109104, 0.14517281766701223, 0.11439657538337097, 0.07192999712223637, -0.0050161074788106245, -0.05465176832680216, -0.003867524403051056, 0.10050450342348723, 0.12828474342501883, 0.003851024412560737, 0.1806436256965858, -0.14072018358374722, -0.08036070266717124, 0.3480968277516036, -0.10460991753835965, -0.15267263331461225, 0.2654560874162734, -0.13459102435829653, -0.12789433493396674, 0.15365039171040829, 0.14036517606341634, 0.08586158216449208, -0.12238722388236516, 0.042518633230450166, -0.0011351806721810636, 0.21607146476497124, 0.022246862205023737, 0.04054491842786471, 0.2149392470353465, 0.20038034315167488, 0.01182508394956768, 0.19940939629129295, -0.08268939224326041, -0.18382896163939744, -0.2604335993100172, -0.1354200193844468, -0.14758357614942494, 0.03641367734051256, -0.12638260347062144, -0.17277163770263906, 0.4052342884724253, 0.14742039417751063, 0.2221921850316997, 0.11919276513849739, 0.2680455968854414, 0.08536464183580601, 0.1120139734415423, 0.033445438079739355, 0.2062658217592411, 0.11855151555260066, 0.06923162114496033, -0.28889844530722364, 0.10011424250022948, 0.048060986379311346] |
708.3051 | Topological Higher Gauge Theory - from BF to BFCG theory | We study generalizations of 3- and 4-dimensional BF-theory in the context of
higher gauge theory. First, we construct topological higher gauge theories as
discrete state sum models and explain how they are related to the state sums of
Yetter, Mackaay, and Porter. Under certain conditions, we can present their
corresponding continuum counterparts in terms of classical Lagrangians. We then
explain that two of these models are already familiar from the literature: the
SigmaPhiEA-model of 3-dimensional gravity coupled to topological matter, and
also a 4-dimensional model of BF-theory coupled to topological matter.
| hep-th gr-qc | we study generalizations of 3 and 4dimensional bftheory in the context of higher gauge theory first we construct topological higher gauge theories as discrete state sum models and explain how they are related to the state sums of yetter mackaay and porter under certain conditions we can present their corresponding continuum counterparts in terms of classical lagrangians we then explain that two of these models are already familiar from the literature the sigmaphieamodel of 3dimensional gravity coupled to topological matter and also a 4dimensional model of bftheory coupled to topological matter | [['we', 'study', 'generalizations', 'of', '3', 'and', '4dimensional', 'bftheory', 'in', 'the', 'context', 'of', 'higher', 'gauge', 'theory', 'first', 'we', 'construct', 'topological', 'higher', 'gauge', 'theories', 'as', 'discrete', 'state', 'sum', 'models', 'and', 'explain', 'how', 'they', 'are', 'related', 'to', 'the', 'state', 'sums', 'of', 'yetter', 'mackaay', 'and', 'porter', 'under', 'certain', 'conditions', 'we', 'can', 'present', 'their', 'corresponding', 'continuum', 'counterparts', 'in', 'terms', 'of', 'classical', 'lagrangians', 'we', 'then', 'explain', 'that', 'two', 'of', 'these', 'models', 'are', 'already', 'familiar', 'from', 'the', 'literature', 'the', 'sigmaphieamodel', 'of', '3dimensional', 'gravity', 'coupled', 'to', 'topological', 'matter', 'and', 'also', 'a', '4dimensional', 'model', 'of', 'bftheory', 'coupled', 'to', 'topological', 'matter']] | [-0.10714600694158839, 0.1597466427147285, -0.08883892363972135, 0.118204463697556, -0.08312869739666995, -0.12398090145757629, -0.024341945235048318, 0.3415406082860298, -0.22042665744407308, -0.29307177336886525, 0.10059126107824139, -0.2635362462864982, -0.2079187986958358, 0.13225188378192898, -0.0849924246677094, 0.025598189943573543, -0.057662738393992184, 0.05540842480129666, -0.12175385689543974, -0.28425927128021916, 0.35809719726546774, -0.02587705763677756, 0.22977476458375654, 0.036834941770131184, 0.07682673594810896, -0.04723701555695799, -0.012353664936704768, 0.042015587696288194, -0.16516881342241604, 0.13409486709990434, 0.2137975785969401, 0.08166103503600526, 0.13132328301047286, -0.4487957793701854, -0.2248048949158854, 0.12702147906853092, 0.11591945461566663, 0.12434475200845757, 0.015476741341667042, -0.3039055461477902, 0.09599437893161343, -0.207010992606067, -0.1156523320849778, -0.12248399031038086, -0.04675473057561451, -0.011822060979385342, -0.16472417124960986, 0.07617472166991017, 0.047439707815647124, 0.016912397286958165, -0.10631249444300515, -0.09517678030145665, -0.07403900602625477, 0.06779814348556101, 0.06056845318914081, 0.0021832899371575978, 0.050547570321295, -0.1906804418682845, -0.18001733836717904, 0.41553890007651517, -0.09709802284034796, -0.2206841428246763, 0.23011861628749306, -0.1368008956985755, -0.18695053908870451, 0.06129785298059384, 0.16334932721219958, 0.15100206503023703, -0.11312292848403255, 0.13002987147774547, -0.06936229169368743, 0.08819005103367898, 0.05958836308370034, 0.07070064365398139, 0.24084387491974565, 0.05953664437143339, 0.01963491988264852, 0.1548225108999759, 0.009751353039044059, -0.14024426026476755, -0.3674292013876968, -0.17568711367849674, -0.09873851234507229, 0.07944168286242832, -0.06129640722582634, -0.13270168229678853, 0.38008579812530013, 0.15969354519297163, 0.1491811481045766, 0.07248001268857883, 0.19516123679156105, 0.1200412236348105, 0.025166704710055558, 0.012779525082765354, 0.21523276196999683, 0.2110956296014289, 0.04215179685658465, -0.15902643868337488, -0.1020524088345054, 0.1302765294081635] |
708.3052 | Studying the MSSM Higgs sector by forward proton tagging at the LHC | We show that the use of forward proton detectors at the LHC installed at 220
m and 420 m distance around ATLAS and / or CMS can provide important
information on the Higgs sector of the MSSM. We analyse central exclusive
production of the neutral CP-even Higgs bosons h and H and their decays into
bottom quarks, tau leptons and W bosons in different MSSM benchmark scenarios.
Using plausible estimates for the achievable experimental efficiencies and the
relevant background processes, we find that the prospective sensitivity of the
diffractive Higgs production will allow to probe interesting regions of the
M_A--tan_beta parameter plane of the MSSM. Central exclusive production of the
CP-even Higgs bosons of the MSSM may provide a unique opportunity to access the
bottom Yukawa couplings of the Higgs bosons up to masses of M_H \lsim 250 GeV.
We also discuss the prospects for identifying the CP-odd Higgs boson, A, in
diffractive processes at the LHC.
| hep-ph | we show that the use of forward proton detectors at the lhc installed at 220 m and 420 m distance around atlas and or cms can provide important information on the higgs sector of the mssm we analyse central exclusive production of the neutral cpeven higgs bosons h and h and their decays into bottom quarks tau leptons and w bosons in different mssm benchmark scenarios using plausible estimates for the achievable experimental efficiencies and the relevant background processes we find that the prospective sensitivity of the diffractive higgs production will allow to probe interesting regions of the m_atan_beta parameter plane of the mssm central exclusive production of the cpeven higgs bosons of the mssm may provide a unique opportunity to access the bottom yukawa couplings of the higgs bosons up to masses of m_h lsim 250 gev we also discuss the prospects for identifying the cpodd higgs boson a in diffractive processes at the lhc | [['we', 'show', 'that', 'the', 'use', 'of', 'forward', 'proton', 'detectors', 'at', 'the', 'lhc', 'installed', 'at', '220', 'm', 'and', '420', 'm', 'distance', 'around', 'atlas', 'and', 'or', 'cms', 'can', 'provide', 'important', 'information', 'on', 'the', 'higgs', 'sector', 'of', 'the', 'mssm', 'we', 'analyse', 'central', 'exclusive', 'production', 'of', 'the', 'neutral', 'cpeven', 'higgs', 'bosons', 'h', 'and', 'h', 'and', 'their', 'decays', 'into', 'bottom', 'quarks', 'tau', 'leptons', 'and', 'w', 'bosons', 'in', 'different', 'mssm', 'benchmark', 'scenarios', 'using', 'plausible', 'estimates', 'for', 'the', 'achievable', 'experimental', 'efficiencies', 'and', 'the', 'relevant', 'background', 'processes', 'we', 'find', 'that', 'the', 'prospective', 'sensitivity', 'of', 'the', 'diffractive', 'higgs', 'production', 'will', 'allow', 'to', 'probe', 'interesting', 'regions', 'of', 'the', 'm_atan_beta', 'parameter', 'plane', 'of', 'the', 'mssm', 'central', 'exclusive', 'production', 'of', 'the', 'cpeven', 'higgs', 'bosons', 'of', 'the', 'mssm', 'may', 'provide', 'a', 'unique', 'opportunity', 'to', 'access', 'the', 'bottom', 'yukawa', 'couplings', 'of', 'the', 'higgs', 'bosons', 'up', 'to', 'masses', 'of', 'm_h', 'lsim', '250', 'gev', 'we', 'also', 'discuss', 'the', 'prospects', 'for', 'identifying', 'the', 'cpodd', 'higgs', 'boson', 'a', 'in', 'diffractive', 'processes', 'at', 'the', 'lhc']] | [-0.0660867348853618, 0.27700011903802174, -0.030983993635835268, 0.18769652884787855, -0.06516439957209887, -0.21220240696707968, 0.06872819329220921, 0.3263971412058872, -0.19071396433103543, -0.260476212315739, -0.0068777496407841305, -0.3104445550841494, 0.0783256013229943, 0.1433093894395428, 0.08706511983062881, 0.10734648051528403, 0.10747213513912776, -0.013922800066304775, -0.012723068642513588, -0.28394055165774307, 0.2826576759823813, 0.032305026680637054, 0.14366530542536518, 0.1492791191274778, 0.06029785677077225, 0.04223808249494491, -0.05005363681396911, -0.1609152824832843, -0.16124993961168982, 0.10392145628037934, 0.19725632583364272, 0.07520564169569227, 0.1075377209046378, -0.2905215741499351, -0.05324460204260854, 0.18509011075963291, 0.18629574281378433, 0.02812476110352108, -0.08114187443369211, -0.35881545792859143, 0.11138813271640967, -0.22011059171890315, -0.11087346187112136, -0.026166064482635986, -0.04407375002315698, -0.13684243388856068, -0.3628559251739763, 0.055348705574802946, -0.11379729666544172, 0.012859719233044112, 0.023074725786080726, -0.20797991203830746, -0.13457524484375682, 0.008371091152254779, 0.1470274623917738, 0.013370631729440693, 0.22906224423637375, -0.24819225883588958, -0.18966172657345828, 0.39066148286040586, -0.0996983067657894, -0.12617214020783415, 0.21929537672967386, -0.22594721580091387, -0.14781209085590374, 0.13280294898252648, 0.28068966960582215, 0.03932733227758525, -0.18554274399334994, 0.2196487897189143, -0.023207633071041737, 0.14568922894511324, 0.08016854032683067, 0.11031169074181563, 0.28807030126709154, 0.22042263831155232, 0.03459339221426023, 0.06161488605087074, -0.14501981055871463, -0.03785760092954987, -0.4806543361210527, -0.17725400902474156, 0.009040731329990264, 0.03883807453661202, -0.09269275832253371, -0.029904647190004397, 0.3988260766550994, 0.14816075590370487, 0.2824136508980957, -0.03244045150514024, 0.28981737036538574, 0.029361835316731, 0.08694890402227592, 0.02790623847156381, 0.3706397984403735, 0.14849939197600365, 0.16530357997637624, -0.1908874483898473, -0.046758927028769486, 0.05509549665312546] |
708.3053 | Stability conditions on generic complex tori | In this paper we describe a simply connected component of the complex
manifold of stability conditions on the bounded derived category of a generic
complex torus of any dimension. A torus is called generic if there are no
nontrivial integral (p,p)-classes. We give an explicit description of all
stability conditions in that connected component.
| math.AG | in this paper we describe a simply connected component of the complex manifold of stability conditions on the bounded derived category of a generic complex torus of any dimension a torus is called generic if there are no nontrivial integral ppclasses we give an explicit description of all stability conditions in that connected component | [['in', 'this', 'paper', 'we', 'describe', 'a', 'simply', 'connected', 'component', 'of', 'the', 'complex', 'manifold', 'of', 'stability', 'conditions', 'on', 'the', 'bounded', 'derived', 'category', 'of', 'a', 'generic', 'complex', 'torus', 'of', 'any', 'dimension', 'a', 'torus', 'is', 'called', 'generic', 'if', 'there', 'are', 'no', 'nontrivial', 'integral', 'ppclasses', 'we', 'give', 'an', 'explicit', 'description', 'of', 'all', 'stability', 'conditions', 'in', 'that', 'connected', 'component']] | [-0.24600922934851557, 0.0727887341320484, -0.07358155833592392, 0.043306935596156795, -0.10719362914316216, -0.11759899459111522, -0.04064279657410774, 0.3642903752976431, -0.2383736680296935, -0.15151379610640262, 0.1535421610888937, -0.17902582970816852, -0.19860491434217625, 0.20604200583865057, -0.10711945278816065, -0.07461674442901364, 0.0693282357829992, 0.11396277523687426, -0.0588758178714241, -0.21393019431885682, 0.45339365017969374, -0.0772056468138647, 0.19099781683312272, 0.08623906307555032, 0.15097164550690717, -0.010463745491403454, 0.0037953287477271174, 0.062035722991908494, -0.17445438184167528, 0.14722307296996973, 0.23241350293721794, 0.10130803017736466, 0.17296366469345917, -0.4168687556641844, -0.20216382738589397, 0.20214593626629068, 0.1134358591417659, 0.014738975127912918, -0.033332998857763155, -0.21971685258355342, 0.13841225871956855, -0.1660508076959061, -0.21953319619357023, -0.08711541663714738, 0.05532936997852236, -0.027351971373032285, -0.2448964323277392, -0.010651426587499818, 0.15061463710834394, 0.1012615452186679, -0.09335807098497478, -0.022225631805101655, -0.045370254498677993, 0.11959490800531195, -0.05394954180327367, 0.026648667219253082, 0.07756262417566383, -0.12606237278284751, -0.07179000291903063, 0.34884427562531717, -0.06144189205512686, -0.2806331658700727, 0.2070380686299067, -0.08128884208898218, -0.18053011123512713, 0.16416915569384144, 0.12328341905519648, 0.15018471090544788, -0.11362412761685983, 0.15680853196613068, -0.13155868524720646, 0.1580873106096713, 0.03652767552818471, -0.00291763010812607, 0.13387408768231013, 0.14232876085026083, 0.13903572085260782, 0.13804598708795207, 0.009847346750386763, -0.07565484470951389, -0.39567730842896226, -0.1649844722892597, -0.16260406235891903, 0.13271200342349848, -0.10642734881631045, -0.24007429389880514, 0.4291544509524444, 0.0584161362417464, 0.24518157679693037, 0.060585738747284026, 0.2843052268836577, 0.1167924283160213, 0.016148702118475484, 0.11340270292470758, 0.16915470193017204, 0.14468666993714166, -0.029043542229974607, -0.13682588485930608, 0.02786389828817743, 0.10645539128251225] |
708.3054 | Numerical Simulations of HH 555 | We present 3D gasdynamic simulations of the Herbig Haro object HH 555. HH 555
is a bipolar jet emerging from the tip of an elephant trunk entering the
Pelican Nebula from the adjacent molecular cloud. Both beams of HH 555 are
curved away from the center of the H II region. This indicates that they are
being deflected by a side-wind probably coming from a star located inside the
nebula or by the expansion of the nebula itself. HH 555 is most likely an
irradiated jet emerging from a highly embedded protostar, which has not yet
been detected.
In our simulations we vary the incident photon flux, which in one of our
models is equal to the flux coming from a star 1 pc away emitting 5x10^48
ionizing (i. e., with energies above the H Lyman limit) photons per second. An
external, plane-parallel flow (a ``side-wind'') is coming from the same
direction as the photoionizing flux. We have made four simulations, decreasing
the photon flux by a factor of 10 in each simulation. We discuss the properties
of the flow and we compute Halpha emission maps (integrated along lines of
sight).
We show that the level of the incident photon flux has an important influence
on the shape and visibility of the jet. If the flux is very high, it causes a
strong evaporation of the neutral clump, producing a photoevaporated wind
traveling in the direction opposite to the incident flow. The interaction of
the two flows creates a double shock ``working surface'' around the clump
protecting it and the jet from the external flow. The jet only starts to curve
when it penetrates through the working surface.
| astro-ph | we present 3d gasdynamic simulations of the herbig haro object hh 555 hh 555 is a bipolar jet emerging from the tip of an elephant trunk entering the pelican nebula from the adjacent molecular cloud both beams of hh 555 are curved away from the center of the h ii region this indicates that they are being deflected by a sidewind probably coming from a star located inside the nebula or by the expansion of the nebula itself hh 555 is most likely an irradiated jet emerging from a highly embedded protostar which has not yet been detected in our simulations we vary the incident photon flux which in one of our models is equal to the flux coming from a star 1 pc away emitting 5x1048 ionizing i e with energies above the h lyman limit photons per second an external planeparallel flow a sidewind is coming from the same direction as the photoionizing flux we have made four simulations decreasing the photon flux by a factor of 10 in each simulation we discuss the properties of the flow and we compute halpha emission maps integrated along lines of sight we show that the level of the incident photon flux has an important influence on the shape and visibility of the jet if the flux is very high it causes a strong evaporation of the neutral clump producing a photoevaporated wind traveling in the direction opposite to the incident flow the interaction of the two flows creates a double shock working surface around the clump protecting it and the jet from the external flow the jet only starts to curve when it penetrates through the working surface | [['we', 'present', '3d', 'gasdynamic', 'simulations', 'of', 'the', 'herbig', 'haro', 'object', 'hh', '555', 'hh', '555', 'is', 'a', 'bipolar', 'jet', 'emerging', 'from', 'the', 'tip', 'of', 'an', 'elephant', 'trunk', 'entering', 'the', 'pelican', 'nebula', 'from', 'the', 'adjacent', 'molecular', 'cloud', 'both', 'beams', 'of', 'hh', '555', 'are', 'curved', 'away', 'from', 'the', 'center', 'of', 'the', 'h', 'ii', 'region', 'this', 'indicates', 'that', 'they', 'are', 'being', 'deflected', 'by', 'a', 'sidewind', 'probably', 'coming', 'from', 'a', 'star', 'located', 'inside', 'the', 'nebula', 'or', 'by', 'the', 'expansion', 'of', 'the', 'nebula', 'itself', 'hh', '555', 'is', 'most', 'likely', 'an', 'irradiated', 'jet', 'emerging', 'from', 'a', 'highly', 'embedded', 'protostar', 'which', 'has', 'not', 'yet', 'been', 'detected', 'in', 'our', 'simulations', 'we', 'vary', 'the', 'incident', 'photon', 'flux', 'which', 'in', 'one', 'of', 'our', 'models', 'is', 'equal', 'to', 'the', 'flux', 'coming', 'from', 'a', 'star', '1', 'pc', 'away', 'emitting', '5x1048', 'ionizing', 'i', 'e', 'with', 'energies', 'above', 'the', 'h', 'lyman', 'limit', 'photons', 'per', 'second', 'an', 'external', 'planeparallel', 'flow', 'a', 'sidewind', 'is', 'coming', 'from', 'the', 'same', 'direction', 'as', 'the', 'photoionizing', 'flux', 'we', 'have', 'made', 'four', 'simulations', 'decreasing', 'the', 'photon', 'flux', 'by', 'a', 'factor', 'of', '10', 'in', 'each', 'simulation', 'we', 'discuss', 'the', 'properties', 'of', 'the', 'flow', 'and', 'we', 'compute', 'halpha', 'emission', 'maps', 'integrated', 'along', 'lines', 'of', 'sight', 'we', 'show', 'that', 'the', 'level', 'of', 'the', 'incident', 'photon', 'flux', 'has', 'an', 'important', 'influence', 'on', 'the', 'shape', 'and', 'visibility', 'of', 'the', 'jet', 'if', 'the', 'flux', 'is', 'very', 'high', 'it', 'causes', 'a', 'strong', 'evaporation', 'of', 'the', 'neutral', 'clump', 'producing', 'a', 'photoevaporated', 'wind', 'traveling', 'in', 'the', 'direction', 'opposite', 'to', 'the', 'incident', 'flow', 'the', 'interaction', 'of', 'the', 'two', 'flows', 'creates', 'a', 'double', 'shock', 'working', 'surface', 'around', 'the', 'clump', 'protecting', 'it', 'and', 'the', 'jet', 'from', 'the', 'external', 'flow', 'the', 'jet', 'only', 'starts', 'to', 'curve', 'when', 'it', 'penetrates', 'through', 'the', 'working', 'surface']] | [-0.11003278867979183, 0.1462096017215902, -0.05637455814507948, 0.022378854338829458, -0.0558793771699313, -0.0858880559164049, 0.01526066613726533, 0.4202056902188418, -0.2408466366648595, -0.3073601498210127, 0.048209720010245524, -0.30731731925381595, -0.004007522626157971, 0.18326799027892401, -0.00984038607167359, -0.056307592199331936, 0.0726022075541025, -0.018755873665213585, 0.0043406456659315995, -0.1415492965497702, 0.29452708537693706, 0.07168951922261059, 0.19383812974550046, 0.051514416474122755, 0.09425447811624742, -0.07954600290651423, -0.021986132685392623, -0.002215704433485489, -0.09927079661873073, 0.0928725505109863, 0.14257223379545492, 0.08514242290707459, 0.21523535107632272, -0.4036408201572805, -0.2140548965996232, 0.024647286366873054, 0.18487902262688544, 0.04461963898972995, -0.04381392580551172, -0.2672814347761068, 0.054227877578896466, -0.17259937560812835, -0.16549896881730708, 0.12811415193596978, 0.03907510865940326, 0.012218464276877767, -0.21296897056993325, 0.047504761686636005, 0.02523420064859067, 0.04990158839670719, -0.041373207515428376, -0.076014446072778, -0.12114987877073163, 0.09846488818778851, 0.05521402951743494, 0.11833872622400539, 0.23628145708477238, -0.2005416755472051, -0.04638892616605931, 0.40016734964863165, -0.0565727540352365, -0.08082312831002883, 0.20237782155415748, -0.21554617100943296, -0.12042139831002438, 0.25881199617466694, 0.13307491355257894, 0.13053099434093204, -0.10630902469550917, 0.010147220316210204, -0.055324510428176134, 0.16027258247530443, 0.07673499982178696, -0.023720091640014564, 0.2881456250492954, 0.10368867260437553, 0.03560672725201164, 0.18192192655336617, -0.24147440646758256, -0.05410176286110755, -0.30992144044313835, -0.12709287174520106, -0.1266367776632067, 0.09923827597399247, -0.09393194705986087, -0.13689361459186633, 0.36648390059685504, 0.10802366823926299, 0.20910141646310634, -0.05439304212248625, 0.3154120808164673, 0.11935127741616851, 0.08716753176968235, 0.16735081695228654, 0.3208239769532819, 0.15537756868295155, 0.12069362670305901, -0.20897974648240983, 0.04853770844318941, 0.006951523502609467] |
708.3055 | Fourier transform on locally compact quantum groups | The notion of Fourier transform is among the more important tools in
analysis, which has been generalized in abstract harmonic analysis to the level
of abelian locally compact groups. The aim of this paper is to further
generalize the Fourier transform: Motivated by some recent works by Van Daele
in the multiplier Hopf algebra framework, and by using the Haar weights, we
define here the (generalized) Fourier transform and the inverse Fourier
transform, at the level of locally compact quantum groups. We will then
consider the analogues of the Fourier inversion theorem, Plancherel theorem,
and the convolution product. Along the way, we also obtain an alternative
description of the dual pairing map between a quantum group and its dual.
| math.OA math.QA | the notion of fourier transform is among the more important tools in analysis which has been generalized in abstract harmonic analysis to the level of abelian locally compact groups the aim of this paper is to further generalize the fourier transform motivated by some recent works by van daele in the multiplier hopf algebra framework and by using the haar weights we define here the generalized fourier transform and the inverse fourier transform at the level of locally compact quantum groups we will then consider the analogues of the fourier inversion theorem plancherel theorem and the convolution product along the way we also obtain an alternative description of the dual pairing map between a quantum group and its dual | [['the', 'notion', 'of', 'fourier', 'transform', 'is', 'among', 'the', 'more', 'important', 'tools', 'in', 'analysis', 'which', 'has', 'been', 'generalized', 'in', 'abstract', 'harmonic', 'analysis', 'to', 'the', 'level', 'of', 'abelian', 'locally', 'compact', 'groups', 'the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'further', 'generalize', 'the', 'fourier', 'transform', 'motivated', 'by', 'some', 'recent', 'works', 'by', 'van', 'daele', 'in', 'the', 'multiplier', 'hopf', 'algebra', 'framework', 'and', 'by', 'using', 'the', 'haar', 'weights', 'we', 'define', 'here', 'the', 'generalized', 'fourier', 'transform', 'and', 'the', 'inverse', 'fourier', 'transform', 'at', 'the', 'level', 'of', 'locally', 'compact', 'quantum', 'groups', 'we', 'will', 'then', 'consider', 'the', 'analogues', 'of', 'the', 'fourier', 'inversion', 'theorem', 'plancherel', 'theorem', 'and', 'the', 'convolution', 'product', 'along', 'the', 'way', 'we', 'also', 'obtain', 'an', 'alternative', 'description', 'of', 'the', 'dual', 'pairing', 'map', 'between', 'a', 'quantum', 'group', 'and', 'its', 'dual']] | [-0.08073197437661599, 0.08415935227381821, -0.17991651775816284, 0.08547929613048821, -0.11258373331247258, -0.07550737955959655, 0.015554984934635837, 0.3570981839311724, -0.34177238380285996, -0.1839385265014878, 0.12904319959250474, -0.22721657360426517, -0.20933951331036432, 0.22781867374266898, -0.10525427007765956, 0.041554954827923575, -0.0020780646703949497, 0.06975601646391784, -0.12542003788594, -0.2213015059545292, 0.37929548713879485, 0.05413659667877966, 0.29693605327986555, -0.0033656359755848885, 0.05771346089303955, 0.06519739800563254, -0.11276693812360157, -0.05509061220360278, -0.11630178521144666, 0.18383838354508167, 0.2597983012175454, 0.06812982839344367, 0.2700740288035208, -0.41183925117952985, -0.1489471312604469, 0.12616469333057895, 0.12221355132852532, 0.02134152761946174, -0.04935092649076764, -0.31424495831382376, 0.09824919494988099, -0.17163422818006085, -0.12797860353167692, -0.11845963604321719, 0.020215734925528032, 0.010125663057126167, -0.21480482231684717, 0.04844292641217241, 0.13194454851865517, 0.05897269228144603, -0.06650635758375734, -0.054900337010622025, 0.03261370068032514, 0.0842135086921709, -0.023797373202269382, 0.02626208563681551, 0.08767272180588055, -0.04576363795272568, -0.12256873117665909, 0.33527525359404686, -0.049534386829981784, -0.22770624069356116, 0.15511237031744965, -0.15910019700908484, -0.18512142556836875, 0.061935619995029285, 0.10805664159075803, 0.10635395235374194, -0.11167353493779772, 0.17833687929131342, -0.08697822723662903, 0.09227028972774494, 0.10078202160623144, 0.038657445202292015, 0.1378464142502356, 0.07967797254345246, 0.0913753090269801, 0.19047222542380834, -0.057328834135805355, -0.03511587169584857, -0.30803818806630223, -0.22863767278858094, -0.18854831019807763, 0.05772014247730938, -0.06863994695668836, -0.15667926695025644, 0.4306639575031625, 0.08955891873343151, 0.14288550930121177, 0.06674481768986727, 0.27495987043019476, 0.17295127354969247, 0.06873976676763982, 0.03788981593738334, 0.12793308972432904, 0.25519058349964935, 0.03281920188509648, -0.1710089538989886, -0.07582637722341798, 0.2223930272328503] |
708.3056 | Schwinger-Dyson operator of Yang-Mills matrix models with ghosts and
derivations of the graded shuffle algebra | We consider large-N multi-matrix models whose action closely mimics that of
Yang-Mills theory, including gauge-fixing and ghost terms. We show that the
factorized Schwinger-Dyson loop equations, expressed in terms of the generating
series of gluon and ghost correlations G(xi), are quadratic equations S^i G = G
xi^i G in concatenation of correlations. The Schwinger-Dyson operator S^i is
built from the left annihilation operator, which does not satisfy the Leibnitz
rule with respect to concatenation. So the loop equations are not differential
equations. We show that left annihilation is a derivation of the graded shuffle
product of gluon and ghost correlations. The shuffle product is the point-wise
product of Wilson loops, expressed in terms of correlations. So in the limit
where concatenation is approximated by shuffle products, the loop equations
become differential equations. Remarkably, the Schwinger-Dyson operator as a
whole is also a derivation of the graded shuffle product. This allows us to
turn the loop equations into linear equations for the shuffle reciprocal, which
might serve as a starting point for an approximation scheme.
| hep-th | we consider largen multimatrix models whose action closely mimics that of yangmills theory including gaugefixing and ghost terms we show that the factorized schwingerdyson loop equations expressed in terms of the generating series of gluon and ghost correlations gxi are quadratic equations si g g xii g in concatenation of correlations the schwingerdyson operator si is built from the left annihilation operator which does not satisfy the leibnitz rule with respect to concatenation so the loop equations are not differential equations we show that left annihilation is a derivation of the graded shuffle product of gluon and ghost correlations the shuffle product is the pointwise product of wilson loops expressed in terms of correlations so in the limit where concatenation is approximated by shuffle products the loop equations become differential equations remarkably the schwingerdyson operator as a whole is also a derivation of the graded shuffle product this allows us to turn the loop equations into linear equations for the shuffle reciprocal which might serve as a starting point for an approximation scheme | [['we', 'consider', 'largen', 'multimatrix', 'models', 'whose', 'action', 'closely', 'mimics', 'that', 'of', 'yangmills', 'theory', 'including', 'gaugefixing', 'and', 'ghost', 'terms', 'we', 'show', 'that', 'the', 'factorized', 'schwingerdyson', 'loop', 'equations', 'expressed', 'in', 'terms', 'of', 'the', 'generating', 'series', 'of', 'gluon', 'and', 'ghost', 'correlations', 'gxi', 'are', 'quadratic', 'equations', 'si', 'g', 'g', 'xii', 'g', 'in', 'concatenation', 'of', 'correlations', 'the', 'schwingerdyson', 'operator', 'si', 'is', 'built', 'from', 'the', 'left', 'annihilation', 'operator', 'which', 'does', 'not', 'satisfy', 'the', 'leibnitz', 'rule', 'with', 'respect', 'to', 'concatenation', 'so', 'the', 'loop', 'equations', 'are', 'not', 'differential', 'equations', 'we', 'show', 'that', 'left', 'annihilation', 'is', 'a', 'derivation', 'of', 'the', 'graded', 'shuffle', 'product', 'of', 'gluon', 'and', 'ghost', 'correlations', 'the', 'shuffle', 'product', 'is', 'the', 'pointwise', 'product', 'of', 'wilson', 'loops', 'expressed', 'in', 'terms', 'of', 'correlations', 'so', 'in', 'the', 'limit', 'where', 'concatenation', 'is', 'approximated', 'by', 'shuffle', 'products', 'the', 'loop', 'equations', 'become', 'differential', 'equations', 'remarkably', 'the', 'schwingerdyson', 'operator', 'as', 'a', 'whole', 'is', 'also', 'a', 'derivation', 'of', 'the', 'graded', 'shuffle', 'product', 'this', 'allows', 'us', 'to', 'turn', 'the', 'loop', 'equations', 'into', 'linear', 'equations', 'for', 'the', 'shuffle', 'reciprocal', 'which', 'might', 'serve', 'as', 'a', 'starting', 'point', 'for', 'an', 'approximation', 'scheme']] | [-0.15570767659080254, 0.1481444745956593, -0.10379525570855327, 0.08961863630323239, -0.10033424077770872, -0.10905760027618938, -0.012586817071326292, 0.2983484114977838, -0.31009853661943204, -0.19569583370577748, 0.060015134707179375, -0.27250980840993555, -0.15349080570235935, 0.13521064382929332, -0.03427739829266433, 0.02506071192379287, 0.08260371806059635, 0.0806403709064114, -0.12224308998496244, -0.24910986896353973, 0.3755238963845536, -0.004719936638812109, 0.2291724683334674, 0.03155644159801735, 0.15322905308916906, 0.010307510133100556, -0.05207125699373683, 0.010665117119838662, -0.068880484835741, 0.05873345188672703, 0.22806091350463312, 0.0685043072979359, 0.18546711995853166, -0.4322363194670377, -0.1221641601047161, 0.05899576097726822, 0.21352563739479707, 0.03685675431285161, 0.04918144704407953, -0.25957660935280813, 0.0286308533498261, -0.22093222281798677, -0.12181275167012576, -0.09090067599657815, -0.009380683489951353, -0.009872331838473419, -0.3340399241440989, 0.06979844171800813, 0.04817312400292799, 0.0038845598956063995, -0.03688402827109097, -0.12721111381028086, -0.06209245294795474, 0.09437339386843532, 0.0011879499400077613, 0.013879081016477746, 0.09342185727648997, -0.15248675784230706, -0.12605856668010268, 0.36883679531902247, -0.09553267085397174, -0.2546846108521857, 0.07209832680201686, -0.16941419114342574, -0.13583142928526107, 0.0989402037894409, 0.05945163560934322, 0.1361167226054011, -0.17840609668802493, 0.18404640284578203, -0.09386517013412378, 0.10763686087949476, 0.12284110385030939, 0.034567057741859746, 0.15239552413941107, 0.054316253763370514, 0.04155989041191262, 0.13281633091398726, 0.040150830417203937, -0.16563197868106339, -0.4094084634989328, -0.1715270395180738, -0.08130644205177062, 0.09745732099951697, -0.11927156360267131, -0.2607713506282496, 0.3326153484048587, 0.10537134796230263, 0.15841423820521186, 0.06242004298131289, 0.23959793800735749, 0.23861769046715187, 0.13925932832546747, 0.05358665034907057, 0.1528127094558467, 0.24001594318071584, 0.07202251698294213, -0.23889032035468502, 0.008524029216906755, 0.23677836514664868] |
708.3057 | Voice Service Support in Mobile Ad Hoc Networks | Mobile ad hoc networks are expected to support voice traffic. The requirement
for small delay and jitter of voice traffic poses a significant challenge for
medium access control (MAC) in such networks. User mobility makes it more
complex due to the associated dynamic path attenuation. In this paper, a MAC
scheme for mobile ad hoc networks supporting voice traffic is proposed. With
the aid of a low-power probe prior to DATA transmissions, resource reservation
is achieved in a distributed manner, thus leading to small delay and jitter.
The proposed scheme can automatically adapt to dynamic path attenuation in a
mobile environment. Simulation results demonstrate the effectiveness of the
proposed scheme.
| cs.IT cs.NI math.IT | mobile ad hoc networks are expected to support voice traffic the requirement for small delay and jitter of voice traffic poses a significant challenge for medium access control mac in such networks user mobility makes it more complex due to the associated dynamic path attenuation in this paper a mac scheme for mobile ad hoc networks supporting voice traffic is proposed with the aid of a lowpower probe prior to data transmissions resource reservation is achieved in a distributed manner thus leading to small delay and jitter the proposed scheme can automatically adapt to dynamic path attenuation in a mobile environment simulation results demonstrate the effectiveness of the proposed scheme | [['mobile', 'ad', 'hoc', 'networks', 'are', 'expected', 'to', 'support', 'voice', 'traffic', 'the', 'requirement', 'for', 'small', 'delay', 'and', 'jitter', 'of', 'voice', 'traffic', 'poses', 'a', 'significant', 'challenge', 'for', 'medium', 'access', 'control', 'mac', 'in', 'such', 'networks', 'user', 'mobility', 'makes', 'it', 'more', 'complex', 'due', 'to', 'the', 'associated', 'dynamic', 'path', 'attenuation', 'in', 'this', 'paper', 'a', 'mac', 'scheme', 'for', 'mobile', 'ad', 'hoc', 'networks', 'supporting', 'voice', 'traffic', 'is', 'proposed', 'with', 'the', 'aid', 'of', 'a', 'lowpower', 'probe', 'prior', 'to', 'data', 'transmissions', 'resource', 'reservation', 'is', 'achieved', 'in', 'a', 'distributed', 'manner', 'thus', 'leading', 'to', 'small', 'delay', 'and', 'jitter', 'the', 'proposed', 'scheme', 'can', 'automatically', 'adapt', 'to', 'dynamic', 'path', 'attenuation', 'in', 'a', 'mobile', 'environment', 'simulation', 'results', 'demonstrate', 'the', 'effectiveness', 'of', 'the', 'proposed', 'scheme']] | [-0.25967015157855877, 0.01486380628564141, -0.022286780449477107, 0.014597076490860094, -0.12125241356817158, -0.21312757841819388, 0.13432992661308327, 0.469325713457709, -0.2530324388295412, -0.32312398051673713, 0.05362202392637052, -0.19393098439851944, -0.19245894603769886, 0.2052177309481935, -0.19008276730521836, 0.13721942779692736, 0.06918477926572615, 0.026811342855746097, 0.05866796919568019, -0.21866668584036894, 0.2704755974478427, 0.07793170294978402, 0.3978518298742446, 0.08060039620931175, 0.06069404394048351, -0.006229936356910251, -0.0693799720762234, -0.043555708398873155, 0.006151321693323553, 0.1105119589314034, 0.3266224934465506, 0.15180201076013458, 0.2997384685684334, -0.4704713897948915, -0.32536673036149955, 0.07397269627756693, 0.1648430867543952, 0.08241955763607456, -0.07590273289626401, -0.33187784634699874, 0.19036000223661012, -0.26911185454704206, -0.08300676804713228, -0.015277784381231124, -0.004961123526498506, 0.022967302494428375, -0.35046183132481845, -0.01508391627364538, -0.053162790504707534, 0.03010539118920199, -0.04696495111777701, 0.009692727338353342, 0.03587453908879649, 0.18225773010529916, 0.032333256223831666, 0.007577751653099602, 0.1514945314689116, -0.14540358068717812, -0.1275501840451563, 0.416228885948658, 0.018221379223872316, -0.19373379605187271, 0.1692910922183232, 0.03905907272763381, -0.06657260407439687, 0.18285183464600283, 0.2685998515733941, 0.04770478469012728, -0.20313971575180237, -0.037997076667802915, 0.019527305690148336, 0.19490278080444445, 0.04826999933734028, 0.09492706777951257, 0.10948338374371154, 0.2619345460256392, 0.13785384286364372, 0.057767237043431535, -0.10618679075004449, -0.10118524500973183, -0.1850252094382251, -0.14293203542897986, -0.1675075142305683, 0.024783624488521706, -0.1130411763768114, -0.09312033614524724, 0.35349598068625543, 0.2255885251755403, 0.1496023890435357, 0.12099149271168493, 0.43964715904810214, 0.07282276055352255, 0.09516634018245068, 0.15121505544520913, 0.15081250005486338, 0.019315449647944082, 0.2722280663141811, -0.19829963919791307, 0.12432307483078066, -0.02343818556348031] |
708.3058 | Explicit chiral symmetry breaking and the 1/N expansion in models with
multi-fermion interactions | Explicit chiral symmetry breaking is a natural feature of many QCD inspired
models with multi-quark interactions. To carry out the 1/N expansion of these
theories, one integrates over the quark fields. In the process of calculating
the one-loop fermion determinant which is not chiral invariant due to quark
masses, special care must be taken in order not to alter the original symmetry
breaking pattern of the Lagrangian. We show how to do this consistently.
| hep-th hep-ph | explicit chiral symmetry breaking is a natural feature of many qcd inspired models with multiquark interactions to carry out the 1n expansion of these theories one integrates over the quark fields in the process of calculating the oneloop fermion determinant which is not chiral invariant due to quark masses special care must be taken in order not to alter the original symmetry breaking pattern of the lagrangian we show how to do this consistently | [['explicit', 'chiral', 'symmetry', 'breaking', 'is', 'a', 'natural', 'feature', 'of', 'many', 'qcd', 'inspired', 'models', 'with', 'multiquark', 'interactions', 'to', 'carry', 'out', 'the', '1n', 'expansion', 'of', 'these', 'theories', 'one', 'integrates', 'over', 'the', 'quark', 'fields', 'in', 'the', 'process', 'of', 'calculating', 'the', 'oneloop', 'fermion', 'determinant', 'which', 'is', 'not', 'chiral', 'invariant', 'due', 'to', 'quark', 'masses', 'special', 'care', 'must', 'be', 'taken', 'in', 'order', 'not', 'to', 'alter', 'the', 'original', 'symmetry', 'breaking', 'pattern', 'of', 'the', 'lagrangian', 'we', 'show', 'how', 'to', 'do', 'this', 'consistently']] | [-0.13358773883885225, 0.2188493654861845, -0.12067205120724425, 0.11010880357947384, -0.13176186722577424, -0.08787051123264875, 0.0057616642191754405, 0.3497485738449, -0.21741136412664847, -0.2463611412944423, 0.030550444124241335, -0.25168421299108684, -0.11486968249585983, 0.04190268419286538, -0.00366156710613821, 0.05425237781192, -0.021491348611291598, 0.0715135429432062, -0.1192830349570392, -0.2696055756013438, 0.3164403773529606, -0.00942776319444985, 0.22861168707242688, 0.13623426101371847, 0.05944913178934036, -0.01823356538708951, -0.013564786408096552, -0.05203316836441691, -0.05325717544434844, 0.06029263987029727, 0.23036147613847052, 0.042775099776131476, 0.1423456920625491, -0.4367551892693784, -0.22609106893651187, 0.1475459448741497, 0.18288463472413855, 0.17443941100783697, -0.0063513508066535, -0.2816676197548372, 0.1125348090143824, -0.20686528337112553, -0.16647196298691672, -0.1718328959950422, -0.06073288235033082, -0.10632764509048413, -0.3003887085974015, 0.05052879028890685, 0.04316922079148778, 0.04625412299473946, 0.013786658695017969, -0.11349348951684865, -0.08824385510682053, 0.10972848048786053, 0.15083116075815317, 0.05839521245326142, 0.12586959198784284, -0.18869898321950254, -0.11630154631062839, 0.4899312073138316, -0.022156607103219407, -0.22151005431707646, 0.12583058649938353, -0.13675744150689728, -0.20122360595426447, 0.1312236411298776, 0.1558815720365257, 0.10577910731395555, -0.1636872475564077, 0.12796238755234643, -0.03232321228731323, 0.1557578819998968, 0.07157188923274344, 0.022733410417630866, 0.2625893518781742, 0.0975012336692433, -0.007031822134268697, 0.08285099050074161, 0.01605558832729789, -0.18738209996120753, -0.3666661015233478, -0.10606663413597522, -0.15405473116206359, 0.0726454723410063, -0.08407504066850084, -0.16124210545220538, 0.419684949658207, 0.20244563445197167, 0.2079611136137533, 0.013170061382855213, 0.25597452628111617, 0.12639656886961814, 0.2000222443374868, 0.01198133488966001, 0.2362811732848452, 0.13286179651481075, 0.06592143327469711, -0.27319418373391835, -0.04638254392665584, 0.14282275375129805] |
708.3059 | Propagation of coherent waves in elastically scattering media | A general method for calculating statistical properties of speckle patterns
of coherent waves propagating in disordered media is developed. It allows one
to calculate speckle pattern correlations in space, as well as their
sensitivity to external parameters. This method, which is similar to the
Boltzmann-Langevin approach for the calculation of classical fluctuations,
applies for a wide range of systems: From cases where the ray propagation is
diffusive to the regime where the rays experience only small angle scattering.
The latter case comprises the regime of directed waves where rays propagate
ballistically in space while their directions diffuse. We demonstrate the
applicability of the method by calculating the correlation function of the wave
intensity and its sensitivity to the wave frequency and the angle of incidence
of the incoming wave.
| cond-mat.dis-nn | a general method for calculating statistical properties of speckle patterns of coherent waves propagating in disordered media is developed it allows one to calculate speckle pattern correlations in space as well as their sensitivity to external parameters this method which is similar to the boltzmannlangevin approach for the calculation of classical fluctuations applies for a wide range of systems from cases where the ray propagation is diffusive to the regime where the rays experience only small angle scattering the latter case comprises the regime of directed waves where rays propagate ballistically in space while their directions diffuse we demonstrate the applicability of the method by calculating the correlation function of the wave intensity and its sensitivity to the wave frequency and the angle of incidence of the incoming wave | [['a', 'general', 'method', 'for', 'calculating', 'statistical', 'properties', 'of', 'speckle', 'patterns', 'of', 'coherent', 'waves', 'propagating', 'in', 'disordered', 'media', 'is', 'developed', 'it', 'allows', 'one', 'to', 'calculate', 'speckle', 'pattern', 'correlations', 'in', 'space', 'as', 'well', 'as', 'their', 'sensitivity', 'to', 'external', 'parameters', 'this', 'method', 'which', 'is', 'similar', 'to', 'the', 'boltzmannlangevin', 'approach', 'for', 'the', 'calculation', 'of', 'classical', 'fluctuations', 'applies', 'for', 'a', 'wide', 'range', 'of', 'systems', 'from', 'cases', 'where', 'the', 'ray', 'propagation', 'is', 'diffusive', 'to', 'the', 'regime', 'where', 'the', 'rays', 'experience', 'only', 'small', 'angle', 'scattering', 'the', 'latter', 'case', 'comprises', 'the', 'regime', 'of', 'directed', 'waves', 'where', 'rays', 'propagate', 'ballistically', 'in', 'space', 'while', 'their', 'directions', 'diffuse', 'we', 'demonstrate', 'the', 'applicability', 'of', 'the', 'method', 'by', 'calculating', 'the', 'correlation', 'function', 'of', 'the', 'wave', 'intensity', 'and', 'its', 'sensitivity', 'to', 'the', 'wave', 'frequency', 'and', 'the', 'angle', 'of', 'incidence', 'of', 'the', 'incoming', 'wave']] | [-0.12609113711690487, 0.18430991104060365, -0.06132965598457543, 0.07541339218349362, -0.057725528706327196, -0.047971970607461625, 0.02403144336255022, 0.3757457818056262, -0.3082059877563643, -0.2744774421994654, 0.03965447641107752, -0.2912763690652891, -0.14355229308049, 0.23295999670675557, 0.05990644803906019, 0.05843485630425993, 0.007812319222346757, 0.004617759272051874, -0.047337144641241766, -0.1506205754311279, 0.3099345634944102, 0.08448853390110844, 0.30428693138330076, 0.0337828842114455, 0.10377724051056791, 0.09094001369752971, -0.021123224407318952, 0.007265806759990433, -0.08176772566801009, 0.07547340698561869, 0.22968806256179142, 0.07950640388569513, 0.20738438472815957, -0.39560118860514587, -0.2852595362581255, 0.06485817616430017, 0.15893133396897358, 0.1286241932124145, -0.01065805923309206, -0.29368907488817564, 0.01971746789825748, -0.11989767810640235, -0.2011185588871035, -0.01721331951850953, 0.027578674872268654, 0.06972207092136766, -0.2546982913054237, 0.09885548600609335, 0.043648881833213415, 0.007684999694253585, -0.02955615965427484, -0.04686616658857597, 0.008304779289665725, 0.11932679897448582, 0.07713299776903938, 0.040220496424314994, 0.12333497103996748, -0.16659449168495372, -0.05242706856973715, 0.4175814615793584, -0.05710851631056005, -0.19946009150973354, 0.17821943218090622, -0.21496743569940205, -0.04219343335288324, 0.19410849256845292, 0.22014344268651723, 0.13572752625905266, -0.1155408122206771, 0.05712289900551442, -0.007175302529701234, 0.1347518172837043, 0.09188066714925172, 0.05159553675235487, 0.18619843072604475, 0.1521653253440709, 0.06627748078078234, 0.13297983129010643, -0.17123118282635083, -0.07282769612159377, -0.27929755127014116, -0.12652974306649073, -0.1788510306658902, 0.002000252038620362, -0.08192187844023881, -0.1789548189718594, 0.4391014941592607, 0.1733978856765564, 0.15264965722322926, 0.03678320207752201, 0.31323682196265046, 0.13262281563789982, 0.018981598382599132, 0.048679265209885185, 0.2920949526795352, 0.16577337077789933, 0.11760139658725857, -0.20774074550898558, 0.05762938456609845, 0.015381112943814938] |
708.306 | Single-Inclusive Hadron Production in Polarized pp Scattering at
Next-to-Leading Logarithmic Accuracy | We study the resummation of large logarithmic perturbative corrections to the
partonic cross sections relevant for the process pp-> h X at high transverse
momentum of the hadron h, when the initial protons are longitudinally
polarized. We perform the resummation to next-to-leading logarithmic accuracy.
We present numerical results for center-of-mass energies of 19.4 GeV, relevant
for comparisons to data from the Fermilab E704 experiment, and 62.4 GeV, where
preliminary data from RHIC have recently become available. We find significant
enhancements of the spin-dependent cross sections, but a decrease of the
double-spin asymmetry for the process. This effect is less pronounced at the
higher energy.
| hep-ph | we study the resummation of large logarithmic perturbative corrections to the partonic cross sections relevant for the process pp h x at high transverse momentum of the hadron h when the initial protons are longitudinally polarized we perform the resummation to nexttoleading logarithmic accuracy we present numerical results for centerofmass energies of 194 gev relevant for comparisons to data from the fermilab e704 experiment and 624 gev where preliminary data from rhic have recently become available we find significant enhancements of the spindependent cross sections but a decrease of the doublespin asymmetry for the process this effect is less pronounced at the higher energy | [['we', 'study', 'the', 'resummation', 'of', 'large', 'logarithmic', 'perturbative', 'corrections', 'to', 'the', 'partonic', 'cross', 'sections', 'relevant', 'for', 'the', 'process', 'pp', 'h', 'x', 'at', 'high', 'transverse', 'momentum', 'of', 'the', 'hadron', 'h', 'when', 'the', 'initial', 'protons', 'are', 'longitudinally', 'polarized', 'we', 'perform', 'the', 'resummation', 'to', 'nexttoleading', 'logarithmic', 'accuracy', 'we', 'present', 'numerical', 'results', 'for', 'centerofmass', 'energies', 'of', '194', 'gev', 'relevant', 'for', 'comparisons', 'to', 'data', 'from', 'the', 'fermilab', 'e704', 'experiment', 'and', '624', 'gev', 'where', 'preliminary', 'data', 'from', 'rhic', 'have', 'recently', 'become', 'available', 'we', 'find', 'significant', 'enhancements', 'of', 'the', 'spindependent', 'cross', 'sections', 'but', 'a', 'decrease', 'of', 'the', 'doublespin', 'asymmetry', 'for', 'the', 'process', 'this', 'effect', 'is', 'less', 'pronounced', 'at', 'the', 'higher', 'energy']] | [-0.052587647208173834, 0.17017607796990958, -0.12540178518975154, 0.1422867975121125, -0.00936777814058587, -0.07715212735974301, -0.012814861829191124, 0.38057010685980247, -0.1765287924119128, -0.29442786124463266, -0.046284881724904366, -0.399182520663509, 0.08473995038702224, 0.18409796136144835, 0.09159366445293507, 0.12560975389519277, 0.1457290987466247, -0.014234114008454176, -0.06041473186968897, -0.24173026121794605, 0.29946685764858, 0.15864027490561755, 0.23612941084250522, 0.2240513772255956, 0.08484251415043567, 0.05157218006654428, -0.05133968407440429, -0.06166832875505161, -0.15824113086833116, 0.06561137353911853, 0.3026748959942219, -0.016050306421955332, 0.14934749676971337, -0.3580197671858164, -0.07677140522998972, 0.10999661445384845, 0.1111677521168111, 0.12741086191202228, -0.038996611838229, -0.24671713637116438, 0.10655308842587356, -0.2499896326335147, -0.13368569512385875, -0.0976758733427582, 0.0392339690011935, -0.022398665209318727, -0.31325348953788096, 0.13207694731401995, -0.04224574153956313, 0.08069957002925758, 0.014098886344492292, -0.2120756804763984, -0.09479892731626303, 0.005628777098396453, 0.08866320322256517, 0.10156263544251068, 0.15553652900808418, -0.1711465461300507, -0.1430182093843961, 0.36301377159543335, -0.03390800044424115, -0.10668312369783123, 0.12807029304363263, -0.270125535576461, -0.14889979726061797, 0.2349652433360741, 0.30018444074532735, 0.11699096610111435, -0.14995366127004672, 0.088347223600207, 0.021954010822810233, 0.14006554437443042, 0.09037637547142087, 0.032421305875267044, 0.10898027583831348, 0.18464223581787126, -0.009840361789639037, 0.07181299838031499, -0.16304594070578998, -0.06390844840699664, -0.43977102669529045, -0.0860983057332655, -0.06379457786141966, 0.04914245668624062, -0.07586481945593103, -0.0426722318101943, 0.33224585244897753, 0.13825913342784937, 0.3038090034208905, 0.01244008306485529, 0.3248068157028264, 0.13645474971809352, 0.08433852737429194, 0.08243515359936282, 0.30383328199744797, 0.1115411581346192, 0.18340485221079478, -0.23151692819709963, -0.0037196925841271877, -0.010085326791830504] |
708.3061 | Reliability of Coupled Oscillators I: Two-Oscillator Systems | This paper concerns the reliability of a pair of coupled oscillators in
response to fluctuating inputs. Reliability means that an input elicits
essentially identical responses upon repeated presentations regardless of the
network's initial condition. Our main result is that both reliable and
unreliable behaviors occur in this network for broad ranges of coupling
strengths, even though individual oscillators are always reliable when
uncoupled. A new finding is that at low input amplitudes, the system is highly
susceptible to unreliable responses when the feedforward and feedback couplings
are roughly comparable. A geometric explanation based on shear-induced chaos at
the onset of phase-locking is proposed.
| nlin.CD q-bio.NC | this paper concerns the reliability of a pair of coupled oscillators in response to fluctuating inputs reliability means that an input elicits essentially identical responses upon repeated presentations regardless of the networks initial condition our main result is that both reliable and unreliable behaviors occur in this network for broad ranges of coupling strengths even though individual oscillators are always reliable when uncoupled a new finding is that at low input amplitudes the system is highly susceptible to unreliable responses when the feedforward and feedback couplings are roughly comparable a geometric explanation based on shearinduced chaos at the onset of phaselocking is proposed | [['this', 'paper', 'concerns', 'the', 'reliability', 'of', 'a', 'pair', 'of', 'coupled', 'oscillators', 'in', 'response', 'to', 'fluctuating', 'inputs', 'reliability', 'means', 'that', 'an', 'input', 'elicits', 'essentially', 'identical', 'responses', 'upon', 'repeated', 'presentations', 'regardless', 'of', 'the', 'networks', 'initial', 'condition', 'our', 'main', 'result', 'is', 'that', 'both', 'reliable', 'and', 'unreliable', 'behaviors', 'occur', 'in', 'this', 'network', 'for', 'broad', 'ranges', 'of', 'coupling', 'strengths', 'even', 'though', 'individual', 'oscillators', 'are', 'always', 'reliable', 'when', 'uncoupled', 'a', 'new', 'finding', 'is', 'that', 'at', 'low', 'input', 'amplitudes', 'the', 'system', 'is', 'highly', 'susceptible', 'to', 'unreliable', 'responses', 'when', 'the', 'feedforward', 'and', 'feedback', 'couplings', 'are', 'roughly', 'comparable', 'a', 'geometric', 'explanation', 'based', 'on', 'shearinduced', 'chaos', 'at', 'the', 'onset', 'of', 'phaselocking', 'is', 'proposed']] | [-0.18548213836914426, 0.1717945220259988, -0.024228099552751743, 0.04863157324284966, -0.04269493946769429, -0.18659437780078608, 0.05527052028416611, 0.37124256501245556, -0.2308474298458076, -0.2839931880174209, 0.06563626049601844, -0.2605806496356008, -0.2027208906998496, 0.19318103419562566, -0.06864057729942995, 0.023297912566651344, 0.10268752528264107, 0.043808438973410906, 0.004361364849757186, -0.23934198886572014, 0.3067907423178837, 0.06596364908245872, 0.3340218970888335, -0.0022491196142758233, 0.09309179147646662, -0.002276830449790775, 0.022612450470316035, 0.00011042524942929304, -0.04784975823423841, 0.06070087114981945, 0.26682211856077453, 0.054485761874708015, 0.299541119088247, -0.41949477469892177, -0.1844643129700415, 0.0988301622853117, 0.1500139649758495, 0.15234958654206282, 0.008726203922369943, -0.2326082155036116, 0.08890237736524743, -0.13338030317291907, -0.07829639629813508, -0.06170946389924988, 0.03574294477556516, 0.05428638985093801, -0.3403782885865245, 0.09140604051978336, 0.061106992394943695, 0.06535832366897064, -0.0409138257416345, -0.05030866402079288, -0.0321766784961688, 0.16077319074035576, 0.00028259533195240986, 0.013335821923214345, 0.14583859220147133, -0.15089134249872374, -0.06815492352742014, 0.3320191906385341, -0.038754479401265675, -0.18588490327548923, 0.24885903340221827, -0.08461441010919409, -0.1256639631012979, 0.17221776394679852, 0.17510165644863857, 0.06418934631731035, -0.16603774322989143, -0.05221027810238437, 0.008090261983667111, 0.21305684607873843, 0.046016968027191255, 0.06118949844944969, 0.2069274573360832, 0.18875979634851797, 0.050121598379704556, 0.1115118127714083, 0.009727847163375575, -0.11111310911500483, -0.2963096643345955, -0.030883061686006276, -0.17217154115510797, 0.035652493768670024, -0.10667213281131693, -0.1672727441306687, 0.4023130847756, 0.19012631441565972, 0.1982293341656948, 0.08706068587308587, 0.3223462932589419, 0.12692734793176674, 0.027633940882402137, 0.0565575747072552, 0.28601054872557957, 0.14241835073504633, 0.08812891917746261, -0.21625401324691992, 0.1301500449345325, 0.003036004102345809] |
708.3062 | Quantum communication. Non-classical correlations and their applications | In the first part of this thesis Bell's theorem is revisited. It points at a
difference between the quantum and the classical world. This difference is
often behind the advantages of solutions using quantum mechanics. New and more
general versions of Bell inequalities are presented. These inequalities involve
multiple settings per observer. Compared with the two-setting inequalities, the
new ones reveal the non-classical character of a broader class of states. Some
of them are also proven to be optimal (tight). Next, we go beyond Bell's
theorem. It is shown, both in theory and in experiment, that incompatibility
between quantum mechanics and realistic theories can be extended into an
important class of nonlocal models. We also show that the violation of Bell
inequalities disqualifies local realistic models with a limited lack of the
experimenter's freedom. This, at first glance quite philosophical result, has
its down-to-earth implications for quantum communication. In the second part of
the thesis well-known examples of quantum communication are reviewed. Next, new
results concerning quantum cryptography and quantum communication complexity
are given.
| quant-ph | in the first part of this thesis bells theorem is revisited it points at a difference between the quantum and the classical world this difference is often behind the advantages of solutions using quantum mechanics new and more general versions of bell inequalities are presented these inequalities involve multiple settings per observer compared with the twosetting inequalities the new ones reveal the nonclassical character of a broader class of states some of them are also proven to be optimal tight next we go beyond bells theorem it is shown both in theory and in experiment that incompatibility between quantum mechanics and realistic theories can be extended into an important class of nonlocal models we also show that the violation of bell inequalities disqualifies local realistic models with a limited lack of the experimenters freedom this at first glance quite philosophical result has its downtoearth implications for quantum communication in the second part of the thesis wellknown examples of quantum communication are reviewed next new results concerning quantum cryptography and quantum communication complexity are given | [['in', 'the', 'first', 'part', 'of', 'this', 'thesis', 'bells', 'theorem', 'is', 'revisited', 'it', 'points', 'at', 'a', 'difference', 'between', 'the', 'quantum', 'and', 'the', 'classical', 'world', 'this', 'difference', 'is', 'often', 'behind', 'the', 'advantages', 'of', 'solutions', 'using', 'quantum', 'mechanics', 'new', 'and', 'more', 'general', 'versions', 'of', 'bell', 'inequalities', 'are', 'presented', 'these', 'inequalities', 'involve', 'multiple', 'settings', 'per', 'observer', 'compared', 'with', 'the', 'twosetting', 'inequalities', 'the', 'new', 'ones', 'reveal', 'the', 'nonclassical', 'character', 'of', 'a', 'broader', 'class', 'of', 'states', 'some', 'of', 'them', 'are', 'also', 'proven', 'to', 'be', 'optimal', 'tight', 'next', 'we', 'go', 'beyond', 'bells', 'theorem', 'it', 'is', 'shown', 'both', 'in', 'theory', 'and', 'in', 'experiment', 'that', 'incompatibility', 'between', 'quantum', 'mechanics', 'and', 'realistic', 'theories', 'can', 'be', 'extended', 'into', 'an', 'important', 'class', 'of', 'nonlocal', 'models', 'we', 'also', 'show', 'that', 'the', 'violation', 'of', 'bell', 'inequalities', 'disqualifies', 'local', 'realistic', 'models', 'with', 'a', 'limited', 'lack', 'of', 'the', 'experimenters', 'freedom', 'this', 'at', 'first', 'glance', 'quite', 'philosophical', 'result', 'has', 'its', 'downtoearth', 'implications', 'for', 'quantum', 'communication', 'in', 'the', 'second', 'part', 'of', 'the', 'thesis', 'wellknown', 'examples', 'of', 'quantum', 'communication', 'are', 'reviewed', 'next', 'new', 'results', 'concerning', 'quantum', 'cryptography', 'and', 'quantum', 'communication', 'complexity', 'are', 'given']] | [-0.09555042183278235, 0.09532892951367479, -0.09910062970272426, 0.11979817468191273, -0.059354337686993955, -0.2082508023689105, 0.028826974005165415, 0.2931467245664747, -0.26972851865540526, -0.29061775665259226, 0.07480203961196152, -0.27339287229610243, -0.17644480593374062, 0.24989271755919032, -0.10910184278377685, 0.07695988246109925, 0.04765557465089978, 0.01967189236859866, -0.06280655782648373, -0.28212772770971295, 0.30997800025098754, 0.015099031500780591, 0.26386947142115486, 0.07238471954151046, 0.050084419602035794, -0.008237595524071533, -0.01068316511849969, 0.017711126074280548, -0.10568838993172046, 0.16252094629353137, 0.2818659943100363, 0.16329505159680185, 0.31080488979966303, -0.43033347910821396, -0.19380217430920438, 0.10484196173680153, 0.06557887267346772, 0.16051403846827217, -0.04227831873859763, -0.34099021162730697, 0.029121884139490194, -0.14745766208801503, -0.1372009132903112, -0.0717756118058045, 0.0038784444894127803, -0.019852469150704898, -0.19843168119932042, 0.09908315148733117, 0.08837936230903042, 0.06898158085104292, 0.014549664076519381, -0.0758028138374064, 0.07323130441497712, 0.10388108069912114, 0.009898257100266865, -0.02942958944637714, 0.06879603288446863, -0.12328523729697684, -0.19984020839777145, 0.38457943932635, 0.02851943548731292, -0.19981330601450312, 0.1902828048165331, -0.12562786617541108, -0.18805825225366601, 0.040463702205900405, 0.11798471805135098, 0.11201246477256732, -0.132140580454678, 0.08238148402212583, -0.06481842454469323, 0.14669187161429176, 0.06810590861921852, 0.13858196562344754, 0.18606246639332125, 0.09619744169932587, 0.05961012048379186, 0.1441849995318843, -0.01506463832094136, -0.2063770446947765, -0.39953483359041175, -0.21525605008388796, -0.2126020833464532, 0.062171908187808406, -0.08023476042882098, -0.09018147759602523, 0.35659854449652906, 0.14937182483778486, 0.10127467773426538, 0.049190123292521155, 0.251415520839543, 0.1070443950687139, 0.04926524734815005, 0.049748575091415524, 0.29906257892100424, 0.17822461111749383, 0.11078320738549034, -0.14947581710176805, 0.05934920561186777, 0.038274608793315186] |
708.3063 | Reliability of Coupled Oscillators II: Larger Networks | We study the reliability of phase oscillator networks in response to
fluctuating inputs. Reliability means that an input elicits essentially
identical responses upon repeated presentations, regardless of the network's
initial condition. In this paper, we extend previous results on two-cell
networks to larger systems. The first issue that arises is chaos in the absence
of inputs, which we demonstrate and interpret in terms of reliability. We give
a mathematical analysis of networks that can be decomposed into modules
connected by an acyclic graph. For this class of networks, we show how to
localize the source of unreliability, and address questions concerning
downstream propagation of unreliability once it is produced.
| nlin.CD q-bio.NC | we study the reliability of phase oscillator networks in response to fluctuating inputs reliability means that an input elicits essentially identical responses upon repeated presentations regardless of the networks initial condition in this paper we extend previous results on twocell networks to larger systems the first issue that arises is chaos in the absence of inputs which we demonstrate and interpret in terms of reliability we give a mathematical analysis of networks that can be decomposed into modules connected by an acyclic graph for this class of networks we show how to localize the source of unreliability and address questions concerning downstream propagation of unreliability once it is produced | [['we', 'study', 'the', 'reliability', 'of', 'phase', 'oscillator', 'networks', 'in', 'response', 'to', 'fluctuating', 'inputs', 'reliability', 'means', 'that', 'an', 'input', 'elicits', 'essentially', 'identical', 'responses', 'upon', 'repeated', 'presentations', 'regardless', 'of', 'the', 'networks', 'initial', 'condition', 'in', 'this', 'paper', 'we', 'extend', 'previous', 'results', 'on', 'twocell', 'networks', 'to', 'larger', 'systems', 'the', 'first', 'issue', 'that', 'arises', 'is', 'chaos', 'in', 'the', 'absence', 'of', 'inputs', 'which', 'we', 'demonstrate', 'and', 'interpret', 'in', 'terms', 'of', 'reliability', 'we', 'give', 'a', 'mathematical', 'analysis', 'of', 'networks', 'that', 'can', 'be', 'decomposed', 'into', 'modules', 'connected', 'by', 'an', 'acyclic', 'graph', 'for', 'this', 'class', 'of', 'networks', 'we', 'show', 'how', 'to', 'localize', 'the', 'source', 'of', 'unreliability', 'and', 'address', 'questions', 'concerning', 'downstream', 'propagation', 'of', 'unreliability', 'once', 'it', 'is', 'produced']] | [-0.1689292588284551, 0.08008436192870524, -0.030901097735270448, 0.037193550984588784, -0.04386680643287821, -0.09415490651896241, 0.040548927647300885, 0.38960111928129687, -0.2874278754269311, -0.28145519673072417, 0.09001577471024058, -0.24342469045242995, -0.23377472652686299, 0.17201574992200513, -0.1321923692685065, 0.01015853388726267, 0.1163097888983171, 0.03803017222185816, -0.00428118332665106, -0.26129464181102685, 0.35313937698764336, 0.04961154491687621, 0.28749063073757847, 0.0585600965861402, 0.08158847790771087, 0.01985508574326651, -0.02699235698139859, 0.040831782566725254, -0.08738351888721542, 0.10615265847465724, 0.27200929079965236, 0.14872217572234367, 0.28659918032791637, -0.4787390934764792, -0.2513287220291212, 0.13878322439695442, 0.15153933570660447, 0.12264721028382865, 0.023386655136122616, -0.2734401099588893, 0.12479866935589581, -0.16113141159433017, -0.09459469381104642, -0.06422176073655622, -0.004735459530845695, 0.04763666662780585, -0.2580607377949658, 0.03960799213515919, 0.0927945275672438, 0.0345234928541569, -0.05578648429278524, -0.04909549213501565, 0.008416987912849002, 0.17899454405121162, 0.015316916164010763, 0.008524654674506105, 0.11027100017516438, -0.1584156363168646, -0.1441150399463234, 0.3365955214067405, -0.0396773929882863, -0.21206091604955973, 0.17884442298737174, -0.074327329485282, -0.16877579493362696, 0.09885311310837439, 0.22665479286667814, 0.06601699762507726, -0.16685815490440492, -0.01217896743451134, -0.051968149990356025, 0.1973530841871686, 0.05912184600778129, 0.03823080424373166, 0.16617463661545734, 0.19466621664015218, 0.04875775569315077, 0.2076867390947348, -0.01416894759547068, -0.06789093229646256, -0.2800202347987562, -0.11268314769611172, -0.1835055331691006, 0.049915501933305635, -0.05105177281342165, -0.14834120382614638, 0.4226788963541525, 0.22501736945566644, 0.18860677004270598, 0.08934166213100213, 0.2843063087330772, 0.1023150961418901, 0.03254115859413981, 0.07108772517002504, 0.2139856151364949, 0.15168854914212582, 0.09200571235397471, -0.17148339309422042, 0.09718233505728519, 0.038868175409392476] |
708.3064 | Synthesis and Analysis of Entangled Photonic Qubits in Spatial-Parity
Space | We present the novel embodiment of a photonic qubit that makes use of one
continuous spatial degree of freedom of a single photon and relies on the the
parity of the photon's transverse spatial distribution. Using optical
spontaneous parametric downconversion to produce photon pairs, we demonstrate
the controlled generation of entangled-photon states in this new space.
Specifically, two Bell states, and a continuum of their superpositions, are
generated by simple manipulation of a classical parameter, the optical-pump
spatial parity, and not by manipulation of the entangled photons themselves. An
interferometric device, isomorphic in action to a polarizing beam splitter,
projects the spatial-parity states onto an even--odd basis. This new physical
realization of photonic qubits could be used as a foundation for future
experiments in quantum information processing.
| quant-ph | we present the novel embodiment of a photonic qubit that makes use of one continuous spatial degree of freedom of a single photon and relies on the the parity of the photons transverse spatial distribution using optical spontaneous parametric downconversion to produce photon pairs we demonstrate the controlled generation of entangledphoton states in this new space specifically two bell states and a continuum of their superpositions are generated by simple manipulation of a classical parameter the opticalpump spatial parity and not by manipulation of the entangled photons themselves an interferometric device isomorphic in action to a polarizing beam splitter projects the spatialparity states onto an evenodd basis this new physical realization of photonic qubits could be used as a foundation for future experiments in quantum information processing | [['we', 'present', 'the', 'novel', 'embodiment', 'of', 'a', 'photonic', 'qubit', 'that', 'makes', 'use', 'of', 'one', 'continuous', 'spatial', 'degree', 'of', 'freedom', 'of', 'a', 'single', 'photon', 'and', 'relies', 'on', 'the', 'the', 'parity', 'of', 'the', 'photons', 'transverse', 'spatial', 'distribution', 'using', 'optical', 'spontaneous', 'parametric', 'downconversion', 'to', 'produce', 'photon', 'pairs', 'we', 'demonstrate', 'the', 'controlled', 'generation', 'of', 'entangledphoton', 'states', 'in', 'this', 'new', 'space', 'specifically', 'two', 'bell', 'states', 'and', 'a', 'continuum', 'of', 'their', 'superpositions', 'are', 'generated', 'by', 'simple', 'manipulation', 'of', 'a', 'classical', 'parameter', 'the', 'opticalpump', 'spatial', 'parity', 'and', 'not', 'by', 'manipulation', 'of', 'the', 'entangled', 'photons', 'themselves', 'an', 'interferometric', 'device', 'isomorphic', 'in', 'action', 'to', 'a', 'polarizing', 'beam', 'splitter', 'projects', 'the', 'spatialparity', 'states', 'onto', 'an', 'evenodd', 'basis', 'this', 'new', 'physical', 'realization', 'of', 'photonic', 'qubits', 'could', 'be', 'used', 'as', 'a', 'foundation', 'for', 'future', 'experiments', 'in', 'quantum', 'information', 'processing']] | [-0.1475320458045508, 0.22348529917548235, -0.07770233355667883, 0.013103048836420049, -0.058665458853613205, -0.16515579891178434, 0.047291876453040976, 0.4213512529890368, -0.24266616608662206, -0.2661144110139489, 0.02541433601992161, -0.24682343656593186, -0.07066975962590631, 0.22217755944387416, -0.016104262967513303, 0.09931148621244502, 0.042079755184827296, -0.0379292150798041, -0.03538118925964914, -0.16543791195245708, 0.3068410442555626, 0.03490869089957385, 0.3414746327179037, 0.023486611088664514, 0.15915975188763123, 0.06048668396666529, 0.011380554778193394, -0.08082325605416164, -0.031869187819146765, 0.17140642808810772, 0.22828436588435838, 0.12231054561962942, 0.2485045597441201, -0.4514991885095131, -0.1912932871862894, 0.09563211633963144, 0.12448199211773793, 0.19075854534767275, -0.07416751547111565, -0.3293707620565171, -0.019698311844712314, -0.16332400341504016, -0.12797571641327007, -0.10823855876893275, -0.022869085456706642, -0.00991660390987875, -0.24312247107480103, 0.018531714468886417, 0.04657442850156093, 0.04992295511242911, 0.04516251698066664, -0.022053722761512743, -0.041172107439634835, 0.08339382305477314, -0.10343061422005179, -0.014248885105246693, 0.1369767403078823, -0.15127996062698562, -0.2396766385439358, 0.3593284778776359, -0.04272785953495387, -0.22559588106796438, 0.14409862248241667, -0.12456972776970819, -0.09133262679670152, 0.09326204538389336, 0.1796376660203114, 0.1342839989224522, -0.11194107783444988, 0.0008727824045015191, -0.04721207751738509, 0.23613099891721734, 0.09619204811275181, 0.17323168517845705, 0.2534483181364013, 0.1418174506682081, 0.06086350019698537, 0.20220832544741932, -0.1129199418800289, -0.06810278524681339, -0.3335771831229153, -0.19549954583039728, -0.2484492093405327, 0.09729898523176768, -0.048230354615150746, -0.11082087524004251, 0.4406591730346302, 0.1056599366734369, 0.17112339412294855, -0.05236918073675529, 0.3088463508912663, 0.0989284323240579, 0.0876181433912308, -0.0035066386890106314, 0.24042276599569115, 0.14180051985996092, 0.052745189353655, -0.2360240619292292, 0.005226504401391827, -0.016006425184410387] |
708.3065 | Notes on noncommutative supersymmetric gauge theory on the fuzzy
supersphere | In these notes we review Klimcik's construction of noncommutative gauge
theory on the fuzzy supersphere. This theory has an exact SUSY gauge symmetry
with a finite number of degrees of freedom and thus in principle it is amenable
to the methods of matrix models and Monte Carlo numerical simulations. We also
write down in this article a novel fuzzy supersymmetric scalar action on the
fuzzy supersphere.
| hep-th | in these notes we review klimciks construction of noncommutative gauge theory on the fuzzy supersphere this theory has an exact susy gauge symmetry with a finite number of degrees of freedom and thus in principle it is amenable to the methods of matrix models and monte carlo numerical simulations we also write down in this article a novel fuzzy supersymmetric scalar action on the fuzzy supersphere | [['in', 'these', 'notes', 'we', 'review', 'klimciks', 'construction', 'of', 'noncommutative', 'gauge', 'theory', 'on', 'the', 'fuzzy', 'supersphere', 'this', 'theory', 'has', 'an', 'exact', 'susy', 'gauge', 'symmetry', 'with', 'a', 'finite', 'number', 'of', 'degrees', 'of', 'freedom', 'and', 'thus', 'in', 'principle', 'it', 'is', 'amenable', 'to', 'the', 'methods', 'of', 'matrix', 'models', 'and', 'monte', 'carlo', 'numerical', 'simulations', 'we', 'also', 'write', 'down', 'in', 'this', 'article', 'a', 'novel', 'fuzzy', 'supersymmetric', 'scalar', 'action', 'on', 'the', 'fuzzy', 'supersphere']] | [-0.08886410291664876, 0.16940045569723364, -0.10278643164425515, 0.08783874603239103, -0.09343117017012376, -0.1056391862149422, 0.025869835411699918, 0.3545847882498772, -0.20930272532770267, -0.2747019842840158, 0.11141536415447123, -0.2630900875163766, -0.18667103118048264, 0.09883493775358566, -0.09046606111984987, 0.051920495454508525, 0.003134544308368976, 0.061538303528840724, -0.1353182926774025, -0.27436675859185367, 0.27345679426709046, 0.04896282309379715, 0.22690387152565214, 0.044600781640754296, 0.17514041812660602, 0.03993423813237594, -0.05063705193595244, 0.0036364999814675406, -0.1857460204511881, 0.15352398803672537, 0.23391786681453455, 0.1071889825595113, 0.21381931668863846, -0.43627573327662855, -0.1741366950038355, 0.08257351491886836, 0.13421735353767872, 0.13314713627243271, -0.03155101310246839, -0.28258338561997964, 0.08013921620754096, -0.2459200309123844, -0.13945606778232525, -0.1437279087312233, -0.043451406233585795, -0.09486377861064214, -0.23628186378628016, 0.02948119327596102, 0.00945006413385272, 0.12020288694363374, 0.008530812438290852, -0.06425694142324993, 1.8470204220368311e-06, -0.024410892261836965, 0.10290268078768769, 0.031408453897501416, 0.08267305665470373, -0.13639915242361333, -0.18888132830257887, 0.3536793589162139, -0.005933257867582142, -0.3132917370360631, 0.17109047572773237, -0.059383694025186395, -0.22530114884989766, 0.08300543991992107, 0.1460249243877255, 0.19892368051581658, -0.13320462139180073, 0.24058251647242845, -0.09041560623870912, 0.1717963312824185, 0.0024456585829074565, 0.0071844360576226165, 0.20810653693400896, 0.14660293282224582, 0.024457529416451088, 0.11906441626353906, 0.024322544131428002, -0.21007069329587885, -0.40366876494999115, -0.16009775545815222, -0.14598045807618362, 0.09431723980233073, -0.12791757860104552, -0.20068190814210818, 0.39208658308937, 0.2135842235884271, 0.08702305558925638, 0.08475065216995202, 0.25621309715609714, 0.12104891327997813, 0.05209570938291458, -0.029222712902208934, 0.17260343667406303, 0.20769370032044557, 0.030100697809113907, -0.20939256850486765, -0.1599061875532453, 0.19493872616440058] |
708.3066 | A Proposal for a Non-Perturbative Regularization of {\cal N}=2 SUSY 4D
Gauge Theory | In this letter we show that supersymmetry like geometry can be approximated
using finite dimensional matrix models and fuzzy manifolds. In particular we
propose a non-perturbative regularization of {\cal N}=2 supersymmetric U(n)
gauge action in 4D. In some planar large N limits we recover exact SUSY
together with the smooth geometry of R^4_{theta}.
| hep-th | in this letter we show that supersymmetry like geometry can be approximated using finite dimensional matrix models and fuzzy manifolds in particular we propose a nonperturbative regularization of cal n2 supersymmetric un gauge action in 4d in some planar large n limits we recover exact susy together with the smooth geometry of r4_theta | [['in', 'this', 'letter', 'we', 'show', 'that', 'supersymmetry', 'like', 'geometry', 'can', 'be', 'approximated', 'using', 'finite', 'dimensional', 'matrix', 'models', 'and', 'fuzzy', 'manifolds', 'in', 'particular', 'we', 'propose', 'a', 'nonperturbative', 'regularization', 'of', 'cal', 'n2', 'supersymmetric', 'un', 'gauge', 'action', 'in', '4d', 'in', 'some', 'planar', 'large', 'n', 'limits', 'we', 'recover', 'exact', 'susy', 'together', 'with', 'the', 'smooth', 'geometry', 'of', 'r4_theta']] | [-0.08999569401539002, 0.16664588277658018, -0.04294914659112692, 0.09623062011311188, -0.05965214871013394, -0.17532733173217052, -0.05506655298030147, 0.38056090101599693, -0.17717445032814375, -0.2511826830987747, 0.10916905312422806, -0.2482337196572469, -0.23317228046765265, 0.055972294989400186, -0.15994292402711624, 0.07939429254698692, 0.00952112661728349, 0.0516695104037913, -0.1395891945800171, -0.25424201449809164, 0.31619784025511205, -0.05375957686919719, 0.19421533613394087, 0.03196565455828722, 0.11803926471979, 0.02111893821767388, 0.023139021556394603, 0.0675028289327971, -0.12779431130645838, 0.1467614172769782, 0.2862407299497555, 0.0839558056054207, 0.0917411887158568, -0.4746341015068957, -0.2071062903940821, 0.13343881101060945, 0.2031167592638387, 0.13629080376659447, -0.04001162732646872, -0.25817155569361955, 0.08194621400728536, -0.17464077576565054, -0.13723807298139526, -0.11640672362857284, -0.05190892315183122, -0.12229295185982035, -0.2939082348289398, 0.05149776479587532, 0.003912157361180737, 0.03641568122503276, -0.02031475995094157, -0.06386331257034236, -0.05334812374069141, 0.037891102936835244, 0.057718366787482336, 0.03361626093884787, 0.07926344970026268, -0.15936802567361716, -0.14277636299196345, 0.36324477294245017, -0.11775058076287118, -0.30641699972777414, 0.155986498709983, -0.15559173497156456, -0.2487400856334716, 0.07199121386600801, 0.19175458164402068, 0.20614725690281305, -0.07013444382195863, 0.3279001671952966, -0.08726348247952186, 0.14357198486462808, 0.09748836821661545, 0.018409052836852006, 0.16294158937839362, 0.13795142561027135, 0.05227211101401526, 0.14460896463984121, -0.007136504461344045, -0.10977970188161215, -0.4107717012879081, -0.13654025789806978, -0.13541460739305386, 0.14884212483705667, -0.17978111476287056, -0.17220500466198876, 0.3144308974196275, 0.12968345611611418, 0.24847606778180656, 0.09619308875587124, 0.18233171498958164, 0.1128897896179786, 0.03119675976743635, 0.03070593088005598, 0.2000423553696377, 0.10787059069396211, 0.00793571147816972, -0.21259878450879255, -0.18257963463950616, 0.21153827140537593] |
708.3067 | On the regularity of weak solutions of the 3D Navier-Stokes equations in
$B^{-1}_{\infty,\infty}$ | We show that if a Leray-Hopf solution $u$ to the 3D Navier-Stokes equation
belongs to $C((0,T]; B^{-1}_{\infty,\infty})$ or its jumps in the
$B^{-1}_{\infty,\infty}$-norm do not exceed a constant multiple of viscosity,
then $u$ is regular on $(0,T]$. Our method uses frequency local estimates on
the nonlinear term, and yields an extension of the classical
Ladyzhenskaya-Prodi-Serrin criterion.
| math.AP | we show that if a lerayhopf solution u to the 3d navierstokes equation belongs to c0t b1_inftyinfty or its jumps in the b1_inftyinftynorm do not exceed a constant multiple of viscosity then u is regular on 0t our method uses frequency local estimates on the nonlinear term and yields an extension of the classical ladyzhenskayaprodiserrin criterion | [['we', 'show', 'that', 'if', 'a', 'lerayhopf', 'solution', 'u', 'to', 'the', '3d', 'navierstokes', 'equation', 'belongs', 'to', 'c0t', 'b1_inftyinfty', 'or', 'its', 'jumps', 'in', 'the', 'b1_inftyinftynorm', 'do', 'not', 'exceed', 'a', 'constant', 'multiple', 'of', 'viscosity', 'then', 'u', 'is', 'regular', 'on', '0t', 'our', 'method', 'uses', 'frequency', 'local', 'estimates', 'on', 'the', 'nonlinear', 'term', 'and', 'yields', 'an', 'extension', 'of', 'the', 'classical', 'ladyzhenskayaprodiserrin', 'criterion']] | [-0.1315515999258919, 0.008404820253913798, -0.08491538301618262, 0.036667386931367216, -0.11926686564799059, -0.14599009278992361, 0.00984106194227934, 0.306980943612077, -0.3433846266093579, -0.17034632353620097, 0.13711125673726202, -0.31676669256253676, -0.08379570827819408, 0.19371132472826338, -0.07706519017758018, 0.036952520689969376, 0.07361284250562841, 0.0942275485362519, -0.07847962334159422, -0.2231262731281194, 0.3133737376806411, -0.09691718347709287, 0.23155036799355663, 0.03876276968724348, 0.16572319610369793, -0.034481028738346964, 0.04095296009697697, 0.017317269099029628, -0.20569768120939527, 0.015107700584286994, 0.14590102457018062, 0.07292082484980876, 0.3333143061534925, -0.4057354073124853, -0.21400187918069688, 0.14200025991621343, 0.12189387859014625, 0.07210336217487401, 0.013227854770692911, -0.2670924333347516, 0.1280754298310388, -0.10675672425634482, -0.17596357852982528, -0.05283639658750458, 0.036284242570400235, 0.06656021037223664, -0.37569645810872315, 0.15233575864271684, 0.1313686028376899, -0.04292709612372247, -0.15788206347391348, -0.07988135080615227, -0.048011271363462914, 0.051021112624386494, 0.010908539707518436, 0.0964241189120168, 0.03450229962949048, -0.11472522630356252, -0.02334455404938622, 0.36087204678492113, -0.15920096908442, -0.30320931232788345, 0.19192306927659294, -0.16607191034656188, -0.07547452603043481, 0.121869805353609, 0.12651558901098642, 0.1673470918681811, -0.09792884345886044, 0.18470667763930662, -0.07975543020293116, 0.21864915905012325, 0.05224790305576541, -0.022730391057716175, 0.07417490451850674, 0.10961263657293537, 0.17130175940269096, 0.061914665150371466, -0.0809401903978803, -0.06998200482604179, -0.35484983801778236, -0.13939922807568852, -0.20452080125158484, 0.10666878980780232, -0.10918750184646342, -0.2273575398562984, 0.3315703776749698, 0.16055186538512564, 0.16318297423422337, 0.08330951666628772, 0.2272606725719842, 0.1667216739469123, 0.011752942251041532, 0.12213744208724661, 0.1849464127285914, 0.08820965770547363, 0.14257653509690002, -0.24270861026915638, 0.05588019643804397, 0.1974038289859891] |
708.3068 | On the structure of Thom polynomials of singularities | Thom polynomials of singularities express the cohomology classes dual to
singularity submanifolds. A stabilization property of Thom polynomials is known
classically, namely that trivial unfolding does not change the Thom polynomial.
In this paper we show that this is a special case of a product rule. The
product rule enables us to calculate the Thom polynomials of singularities if
we know the Thom polynomial of the product singularity. As a special case of
the product rule we define a formal power series (Thom series, Ts_Q) associated
with a commutative, complex, finite dimensional local algebra Q, such that the
Thom polynomial of {\em every} singularity with local algebra Q can be
recovered from Ts_Q.
| math.AG math.AT | thom polynomials of singularities express the cohomology classes dual to singularity submanifolds a stabilization property of thom polynomials is known classically namely that trivial unfolding does not change the thom polynomial in this paper we show that this is a special case of a product rule the product rule enables us to calculate the thom polynomials of singularities if we know the thom polynomial of the product singularity as a special case of the product rule we define a formal power series thom series ts_q associated with a commutative complex finite dimensional local algebra q such that the thom polynomial of em every singularity with local algebra q can be recovered from ts_q | [['thom', 'polynomials', 'of', 'singularities', 'express', 'the', 'cohomology', 'classes', 'dual', 'to', 'singularity', 'submanifolds', 'a', 'stabilization', 'property', 'of', 'thom', 'polynomials', 'is', 'known', 'classically', 'namely', 'that', 'trivial', 'unfolding', 'does', 'not', 'change', 'the', 'thom', 'polynomial', 'in', 'this', 'paper', 'we', 'show', 'that', 'this', 'is', 'a', 'special', 'case', 'of', 'a', 'product', 'rule', 'the', 'product', 'rule', 'enables', 'us', 'to', 'calculate', 'the', 'thom', 'polynomials', 'of', 'singularities', 'if', 'we', 'know', 'the', 'thom', 'polynomial', 'of', 'the', 'product', 'singularity', 'as', 'a', 'special', 'case', 'of', 'the', 'product', 'rule', 'we', 'define', 'a', 'formal', 'power', 'series', 'thom', 'series', 'ts_q', 'associated', 'with', 'a', 'commutative', 'complex', 'finite', 'dimensional', 'local', 'algebra', 'q', 'such', 'that', 'the', 'thom', 'polynomial', 'of', 'em', 'every', 'singularity', 'with', 'local', 'algebra', 'q', 'can', 'be', 'recovered', 'from', 'ts_q']] | [-0.20590300166660602, -0.0032675994627244837, -0.12589190026057195, 0.09270986857161194, -0.14288220893558082, -0.18521173789191084, -0.02201271997575925, 0.27668525203894656, -0.4243665714790155, -0.13243749368986166, 0.06940918208020194, -0.2005090353767144, -0.19962568378059176, 0.13698647648666626, -0.14831878465961093, 0.004415115886913227, 0.060239340480719064, 0.10180666775081877, -0.12744439515570463, -0.2685530326824199, 0.4412451413342612, 0.03636677438227527, 0.1710650293106163, 0.045703612251190455, 0.10508795004329635, -0.005641498586146144, -0.024189316696982394, -0.0024111412128911833, -0.13689922532039173, 0.050550827861402754, 0.33518367394939197, 0.10855746940449551, 0.2082335688005965, -0.32600135450447526, -0.10248433020771355, 0.2571138916212042, 0.1899372378263522, 0.007610382600309881, 0.07234360095583373, -0.20389609925264307, 0.07492580782487854, -0.24388127015517638, -0.1749864907280819, -0.140673846165809, 0.00520493638248661, 0.02745393172812623, -0.2684904082409769, -0.001322286102820087, 0.09895702683039613, 0.13101326669608285, -0.03455928338876179, -0.03808949356227442, -0.019836854905955627, 0.06944735871778952, -0.02684286848834909, 0.0215767653226886, 0.09053045510354259, -0.06868339514210117, -0.15959941287554363, 0.37278995243412955, -0.03691540590932106, -0.20947972234959403, 0.07581417801630524, -0.2100148358055063, -0.23931419957630537, 0.13957144143185704, -0.00837108578642008, 0.1784705863258726, 0.016265837333022472, 0.21366404747036663, -0.11810683153636821, 0.07031338173594023, 0.16928721076666234, -0.0010147002559188786, 0.13955114974833285, -0.029584131186811236, 0.04860181066937543, 0.16192643528044862, 0.03119769818222922, -0.07997872286081852, -0.36379918981309944, -0.24404056430668444, -0.1627505887551485, 0.2076802137120352, -0.14110925959356063, -0.257792047686405, 0.45328387059271336, 0.03233149097466774, 0.1939110835796004, 0.1082950152188271, 0.25661209713759925, 0.12486730991581639, 0.06532743709111535, 0.03287469934638556, 0.148394758179616, 0.1865662566411334, 0.05764740042656929, -0.12637459920920632, -0.017796328698226192, 0.23009957165901992] |
708.3069 | Regge behavior of gluon scattering amplitudes in N=4 SYM theory | It is shown that the four-gluon scattering amplitude for N=4 supersymmetric
Yang-Mills theory in the planar limit can be written, in both the weak- and
strong-coupling limits, as a reggeized amplitude, with a parent trajectory and
an infinite number of daughter trajectories. This result relies crucially on
the fact that the leading IR-divergence and the finite log^2(s/t)-dependent
piece of the amplitude are characterized by the same function for all values of
the coupling, as conjectured by Bern, Dixon, and Smirnov, and proved by Alday
and Maldacena in the strong-coupling limit. We use the Alday-Maldacena result
to determine the strong-coupling Regge trajectory.
| hep-th hep-ph | it is shown that the fourgluon scattering amplitude for n4 supersymmetric yangmills theory in the planar limit can be written in both the weak and strongcoupling limits as a reggeized amplitude with a parent trajectory and an infinite number of daughter trajectories this result relies crucially on the fact that the leading irdivergence and the finite log2stdependent piece of the amplitude are characterized by the same function for all values of the coupling as conjectured by bern dixon and smirnov and proved by alday and maldacena in the strongcoupling limit we use the aldaymaldacena result to determine the strongcoupling regge trajectory | [['it', 'is', 'shown', 'that', 'the', 'fourgluon', 'scattering', 'amplitude', 'for', 'n4', 'supersymmetric', 'yangmills', 'theory', 'in', 'the', 'planar', 'limit', 'can', 'be', 'written', 'in', 'both', 'the', 'weak', 'and', 'strongcoupling', 'limits', 'as', 'a', 'reggeized', 'amplitude', 'with', 'a', 'parent', 'trajectory', 'and', 'an', 'infinite', 'number', 'of', 'daughter', 'trajectories', 'this', 'result', 'relies', 'crucially', 'on', 'the', 'fact', 'that', 'the', 'leading', 'irdivergence', 'and', 'the', 'finite', 'log2stdependent', 'piece', 'of', 'the', 'amplitude', 'are', 'characterized', 'by', 'the', 'same', 'function', 'for', 'all', 'values', 'of', 'the', 'coupling', 'as', 'conjectured', 'by', 'bern', 'dixon', 'and', 'smirnov', 'and', 'proved', 'by', 'alday', 'and', 'maldacena', 'in', 'the', 'strongcoupling', 'limit', 'we', 'use', 'the', 'aldaymaldacena', 'result', 'to', 'determine', 'the', 'strongcoupling', 'regge', 'trajectory']] | [-0.112806331548567, 0.1981967474215469, -0.13212310375100134, 0.09211987417868593, -0.03090025657185852, -0.07431693682729294, 0.03391329715653991, 0.2602091505747251, -0.19042424421823312, -0.2510811780494722, 0.06797575521532145, -0.2841274370486387, -0.1558384925051771, 0.17683840536387788, -0.03358366263258939, 0.07531472230509437, 0.03231067432918482, 0.06436173326213553, -0.025226969361267608, -0.24317263179656232, 0.29340368996120314, -0.0010014295512151838, 0.29632452461454606, 0.12040587776632171, 0.09666845084384385, 0.11324772470621298, 0.011622242257939746, 0.0011623429000434098, -0.10960164201058414, 0.06952694051833165, 0.24063384327849355, 0.05974498228875525, 0.1655037027191032, -0.3986678050097191, -0.1702160027837663, 0.02552803649068481, 0.18775144792773357, 0.13273333049981356, 0.038658532858449925, -0.3023008622247914, 0.0402315996700164, -0.17448364583907103, -0.19668585718186063, -0.06817806253887036, 0.05142285247248682, -0.040212159938733984, -0.2712085809502186, 0.048928182782614696, 0.035482012751427566, -0.016793116221599506, 0.0009203487677932388, -0.09695830166744387, -0.05053903244793265, 0.1262302971821316, 0.11987586659755596, 0.08651207222819629, 0.049681177247560236, -0.18044123502514053, -0.12035463754595681, 0.3202477038292346, -0.09752021426700391, -0.18302811749486458, 0.14164815937384087, -0.1868630509419047, -0.12710030386788826, 0.11236922327908828, 0.05386069694044764, 0.13582181194126888, -0.13799356908132934, 0.219258057213426, -0.040566755599822056, 0.11760636050291735, 0.1685463821543663, 0.025720728043880727, 0.1838364272632382, 0.1189595815546886, -0.003740653066397315, 0.1276713055217488, -0.037902239834739254, -0.10567907060995096, -0.359145554859718, -0.08241263518316878, -0.19972787197382952, 0.052874010536029484, -0.1185044484354692, -0.17712765916178916, 0.32130096522818385, 0.09905829927837005, 0.19558146960017356, 0.09026255011746678, 0.21262661214668604, 0.19358784374263552, 0.04762380463400423, 0.07562992759425231, 0.3145488766633501, 0.17717687586190725, 0.07812599010408075, -0.2763288838628943, -0.024065479391602553, 0.20677107113009] |
708.307 | Network Coding Capacity of Random Wireless Networks under a
Signal-to-Interference-and-Noise Model | In this paper, we study network coding capacity for random wireless networks.
Previous work on network coding capacity for wired and wireless networks have
focused on the case where the capacities of links in the network are
independent. In this paper, we consider a more realistic model, where wireless
networks are modeled by random geometric graphs with interference and noise. In
this model, the capacities of links are not independent. We consider two
scenarios, single source multiple destinations and multiple sources multiple
destinations. In the first scenario, employing coupling and martingale methods,
we show that the network coding capacity for random wireless networks still
exhibits a concentration behavior around the mean value of the minimum cut
under some mild conditions. Furthermore, we establish upper and lower bounds on
the network coding capacity for dependent and independent nodes. In the second
one, we also show that the network coding capacity still follows a
concentration behavior. Our simulation results confirm our theoretical
predictions.
| cs.IT math.IT | in this paper we study network coding capacity for random wireless networks previous work on network coding capacity for wired and wireless networks have focused on the case where the capacities of links in the network are independent in this paper we consider a more realistic model where wireless networks are modeled by random geometric graphs with interference and noise in this model the capacities of links are not independent we consider two scenarios single source multiple destinations and multiple sources multiple destinations in the first scenario employing coupling and martingale methods we show that the network coding capacity for random wireless networks still exhibits a concentration behavior around the mean value of the minimum cut under some mild conditions furthermore we establish upper and lower bounds on the network coding capacity for dependent and independent nodes in the second one we also show that the network coding capacity still follows a concentration behavior our simulation results confirm our theoretical predictions | [['in', 'this', 'paper', 'we', 'study', 'network', 'coding', 'capacity', 'for', 'random', 'wireless', 'networks', 'previous', 'work', 'on', 'network', 'coding', 'capacity', 'for', 'wired', 'and', 'wireless', 'networks', 'have', 'focused', 'on', 'the', 'case', 'where', 'the', 'capacities', 'of', 'links', 'in', 'the', 'network', 'are', 'independent', 'in', 'this', 'paper', 'we', 'consider', 'a', 'more', 'realistic', 'model', 'where', 'wireless', 'networks', 'are', 'modeled', 'by', 'random', 'geometric', 'graphs', 'with', 'interference', 'and', 'noise', 'in', 'this', 'model', 'the', 'capacities', 'of', 'links', 'are', 'not', 'independent', 'we', 'consider', 'two', 'scenarios', 'single', 'source', 'multiple', 'destinations', 'and', 'multiple', 'sources', 'multiple', 'destinations', 'in', 'the', 'first', 'scenario', 'employing', 'coupling', 'and', 'martingale', 'methods', 'we', 'show', 'that', 'the', 'network', 'coding', 'capacity', 'for', 'random', 'wireless', 'networks', 'still', 'exhibits', 'a', 'concentration', 'behavior', 'around', 'the', 'mean', 'value', 'of', 'the', 'minimum', 'cut', 'under', 'some', 'mild', 'conditions', 'furthermore', 'we', 'establish', 'upper', 'and', 'lower', 'bounds', 'on', 'the', 'network', 'coding', 'capacity', 'for', 'dependent', 'and', 'independent', 'nodes', 'in', 'the', 'second', 'one', 'we', 'also', 'show', 'that', 'the', 'network', 'coding', 'capacity', 'still', 'follows', 'a', 'concentration', 'behavior', 'our', 'simulation', 'results', 'confirm', 'our', 'theoretical', 'predictions']] | [-0.21432878658022175, 0.047384116390824134, -0.0074584686937770855, 0.02554080425400102, -0.01109450442213218, -0.2153867752036739, 0.13445013328397543, 0.41684283429947655, -0.26783516209121355, -0.24074149360267086, 0.10977188444418705, -0.2700686139540504, -0.22221199599939243, 0.1677784494540845, -0.13610854086622318, 0.058690005086177256, 0.0533461083010163, 0.07060782363499452, 0.013476644489358857, -0.2597472659624558, 0.3398084651493693, 0.06133289769962893, 0.35021922055932675, 0.08968089196233726, 0.035371464567247386, -0.003076376737621815, -0.029664102033567355, -0.0029534220345526566, -0.13722137325583966, 0.11096289535617074, 0.2561830657806178, 0.11835624657012558, 0.263823266881547, -0.45175012524430613, -0.33168415123631495, 0.12191909700285018, 0.13095710260839843, 0.08314192440268231, -0.030984215801079202, -0.2490973633277282, 0.1163845628077708, -0.1750463646394056, -0.009678112614830458, -0.005092039120076977, -0.07255689941219384, 0.0647151251048752, -0.32220474518951236, 0.038254471071843946, 0.02862602700219021, 0.025140742660516018, -0.05135435139708314, -0.11315185036539152, 0.04762439997808904, 0.1728511556924425, 0.01156653690886516, -0.021623875663806656, 0.0790087577730695, -0.1492099083247103, -0.1387763740263463, 0.3119802232716024, -0.04122810810804367, -0.22346114711720289, 0.14644176323799799, -0.09769324507413907, -0.20176246229512906, 0.0830198287130883, 0.24728656104933586, 0.09416412236458212, -0.20342779988480836, 0.012625297031839674, -0.0735020822916261, 0.14238402319736548, 0.06758912736463205, 0.09262371079718566, 0.14729694383484976, 0.21064552210592405, 0.12264820675492888, 0.1734540139842686, -0.10455527070111462, -0.13980375816582802, -0.2504111260840212, -0.07702690361917991, -0.23386018405674222, 0.03199038928910086, -0.1777237761956972, -0.10148559455356347, 0.3680014148909853, 0.1653957873906778, 0.17782793308012418, 0.17589278150529178, 0.3289447874756333, 0.061811096869374374, 0.028777813064570754, 0.17808499050714213, 0.2000048500205526, 0.1389426705948083, 0.1433353775660999, -0.13275343647262122, 0.09370303671859112, -0.009304742320145694] |
708.3071 | The double-slit and the EPR experiments: A paradox-free kinematic
description | The paradoxes of the double-slit and the EPR experiments with particles are
shown to originate in the implicit assumption that the particles are always
located in the classical space. It is demonstrated that there exists a natural
substitute for this assumption that provides a method of resolving the
paradoxes.
| quant-ph | the paradoxes of the doubleslit and the epr experiments with particles are shown to originate in the implicit assumption that the particles are always located in the classical space it is demonstrated that there exists a natural substitute for this assumption that provides a method of resolving the paradoxes | [['the', 'paradoxes', 'of', 'the', 'doubleslit', 'and', 'the', 'epr', 'experiments', 'with', 'particles', 'are', 'shown', 'to', 'originate', 'in', 'the', 'implicit', 'assumption', 'that', 'the', 'particles', 'are', 'always', 'located', 'in', 'the', 'classical', 'space', 'it', 'is', 'demonstrated', 'that', 'there', 'exists', 'a', 'natural', 'substitute', 'for', 'this', 'assumption', 'that', 'provides', 'a', 'method', 'of', 'resolving', 'the', 'paradoxes']] | [-0.0927417729292255, 0.12550237402319908, -0.14281120056248442, 0.11096744646071172, -0.045725210626818696, -0.1599721092616721, -0.0074893921537666905, 0.35974892289662846, -0.2523883417704884, -0.2832832016354921, 0.029457872189410334, -0.31564946455538884, -0.13898725381919316, 0.1975318187733694, -0.05295030481885282, -0.011728646309704197, 0.10432826079623013, 0.0399265245971631, -0.03356487993911213, -0.20325450086015828, 0.3360250416515889, 0.050945695565671335, 0.2794610117847214, 0.0714498580129323, 0.19535964687487908, -0.023337024473110025, 0.026886857589896843, 0.04982175511647757, -0.062211638903191875, 0.08719836253368733, 0.26467672119639357, 0.17154150829669468, 0.2972017533373924, -0.41654919251343425, -0.23533450407261142, 0.1415172323432504, 0.09809919676686428, 0.11402561424338088, -0.10183476007362942, -0.2840793431185338, 0.08264846955331004, -0.06543901890554295, -0.15097655201977006, -0.01332706100858596, 0.005737787340672648, -0.018393584508068706, -0.2662498852884283, 0.07863462795693503, 0.12008422216856662, 0.006367801479539093, -0.02660753394534089, -0.028897572099706347, 0.0346907967397449, 0.08526847893562244, 0.08445564822331832, -0.0002597320007578451, 0.0870077188069723, -0.07779886651004912, -0.1366451137642167, 0.4392617047593302, -0.005570062892321421, -0.24013604330165045, 0.20744875885251604, -0.1677043181558957, -0.10336888273607711, 0.11338369829618201, -0.00995742126691098, 0.10649372287550751, -0.09734221093584688, 0.07111309657742897, -0.160056614221967, 0.15781044880194323, 0.10674919860380493, 0.04837618797675383, 0.1880915477035605, 0.12974976539155658, 0.049541826683039566, 0.09957728869452769, -0.07588818996232383, -0.12958368271285173, -0.34909612883110436, -0.19031714264075367, -0.22156952580018918, 0.008976792512765648, -0.020815783674170606, -0.16175377038390643, 0.2728918185077456, 0.1964387237652661, 0.15856346596336487, -0.014759265171477989, 0.2640431733036946, 0.0955425500869751, 0.09752062411636722, 0.06603085379857494, 0.3066601804932769, 0.09451671539596757, 0.07480702338483641, -0.1995632255506911, 0.08484018637741707, -0.0047074109125806365] |
708.3072 | On higher real and stable ranks for CCR C*-algebras | We calculate the real rank and stable rank of CCR algebras which either have
only finite dimensional irreducible representations or have finite topological
dimension. We show that either rank of A is determined in a good way by the
ranks of an ideal I and the quotient A/I in four cases: When A is CCR; when I
has only finite dimensional irreducible representations; when I is separable,
of generalized continuous trace and finite topological dimension, and all
irreducible representations of I are infinite dimensional; or when I is
separable, stable, has an approximate identity consisting of projections, and
has the corona factorization property. We also present a counterexample on
higher ranks of M(A), A subhomogeneous, and a theorem of P. Green on
generalized continuous trace algebras.
| math.OA | we calculate the real rank and stable rank of ccr algebras which either have only finite dimensional irreducible representations or have finite topological dimension we show that either rank of a is determined in a good way by the ranks of an ideal i and the quotient ai in four cases when a is ccr when i has only finite dimensional irreducible representations when i is separable of generalized continuous trace and finite topological dimension and all irreducible representations of i are infinite dimensional or when i is separable stable has an approximate identity consisting of projections and has the corona factorization property we also present a counterexample on higher ranks of ma a subhomogeneous and a theorem of p green on generalized continuous trace algebras | [['we', 'calculate', 'the', 'real', 'rank', 'and', 'stable', 'rank', 'of', 'ccr', 'algebras', 'which', 'either', 'have', 'only', 'finite', 'dimensional', 'irreducible', 'representations', 'or', 'have', 'finite', 'topological', 'dimension', 'we', 'show', 'that', 'either', 'rank', 'of', 'a', 'is', 'determined', 'in', 'a', 'good', 'way', 'by', 'the', 'ranks', 'of', 'an', 'ideal', 'i', 'and', 'the', 'quotient', 'ai', 'in', 'four', 'cases', 'when', 'a', 'is', 'ccr', 'when', 'i', 'has', 'only', 'finite', 'dimensional', 'irreducible', 'representations', 'when', 'i', 'is', 'separable', 'of', 'generalized', 'continuous', 'trace', 'and', 'finite', 'topological', 'dimension', 'and', 'all', 'irreducible', 'representations', 'of', 'i', 'are', 'infinite', 'dimensional', 'or', 'when', 'i', 'is', 'separable', 'stable', 'has', 'an', 'approximate', 'identity', 'consisting', 'of', 'projections', 'and', 'has', 'the', 'corona', 'factorization', 'property', 'we', 'also', 'present', 'a', 'counterexample', 'on', 'higher', 'ranks', 'of', 'ma', 'a', 'subhomogeneous', 'and', 'a', 'theorem', 'of', 'p', 'green', 'on', 'generalized', 'continuous', 'trace', 'algebras']] | [-0.10129066129466371, 0.1520795128181196, -0.08533086949249818, 0.025925448574569254, -0.05903206932513664, -0.17926603060452237, -0.019425793445580417, 0.3892032651910706, -0.29250223095351385, -0.13363807358675533, 0.14823450596951362, -0.257675253874844, -0.13489421158807263, 0.1502368150330666, -0.07831629073720366, -0.03035171548762019, 0.03535689988602248, 0.14746716080070843, -0.14396870087292638, -0.3100517153414705, 0.4089826434806344, -0.06673565468591978, 0.24170111748759474, 0.026711981580962264, 0.1602186440519752, 0.01421403891170427, -0.022458463655932556, 0.06115643521097231, -0.0747658443096808, 0.12666424955906613, 0.28111208883661126, 0.11198042693828779, 0.24942128511796158, -0.3340960280555818, -0.14104994958532707, 0.20339446936157488, 0.12468333752379597, 0.05411109088325045, -0.008632889211488267, -0.2418256081670286, 0.15282901697644283, -0.24608261764995634, -0.12252592966182246, -0.1128259564247278, 0.09252391153454988, -0.03470601695811465, -0.2745416470995498, 0.021113279953530604, 0.12053043096666298, 0.1408268517892187, -0.0900224677087473, -0.1221269556276855, -0.04982731208789148, 0.0798930714030691, -0.03087914167415528, -0.01963703604119401, 0.03066908679385152, -0.09708922125794324, -0.1352566981564335, 0.3526868456752882, -0.028038457775163273, -0.23452034137754088, 0.2281147044868992, -0.14394819263797548, -0.1409238805691342, 0.10961425318456595, 0.12736598596656842, 0.1220811886963756, -0.03178223661038034, 0.2040225216196776, -0.1371997902391567, 0.10087320088900419, 0.08187661737865133, -0.019063678233780794, 0.1316920684628366, 0.077253070076011, 0.08897818135382193, 0.12369871072633754, -0.003935902109665293, -0.012285552612165846, -0.31253377595798126, -0.2149911311174196, -0.1875543248763914, 0.1277442482107925, -0.1058750119448791, -0.1916888506994361, 0.4195070914214566, 0.046968103738017526, 0.17970128033664964, 0.0629753662164264, 0.27377436364749597, 0.15078087298879547, 0.05535236591221913, 0.09771596647739883, 0.12694635885279804, 0.1883980473078462, -0.05627137775133763, -0.11620546484898243, 0.004547424377903106, 0.184814698118273] |
708.3073 | Spontaneous Resonances and the Coherent States of the Queuing Networks | We present an example of a highly connected closed network of servers, where
the time correlations do not go to zero in the infinite volume limit. This
phenomenon is similar to the continuous symmetry breaking at low temperatures
in statistical mechanics. The role of the inverse temperature is played by the
average load.
| math-ph math.MP | we present an example of a highly connected closed network of servers where the time correlations do not go to zero in the infinite volume limit this phenomenon is similar to the continuous symmetry breaking at low temperatures in statistical mechanics the role of the inverse temperature is played by the average load | [['we', 'present', 'an', 'example', 'of', 'a', 'highly', 'connected', 'closed', 'network', 'of', 'servers', 'where', 'the', 'time', 'correlations', 'do', 'not', 'go', 'to', 'zero', 'in', 'the', 'infinite', 'volume', 'limit', 'this', 'phenomenon', 'is', 'similar', 'to', 'the', 'continuous', 'symmetry', 'breaking', 'at', 'low', 'temperatures', 'in', 'statistical', 'mechanics', 'the', 'role', 'of', 'the', 'inverse', 'temperature', 'is', 'played', 'by', 'the', 'average', 'load']] | [-0.1692395219403618, 0.19331297449979554, -0.09601876368078421, 0.06930841081380353, -0.030604291087859926, -0.10404512636750093, 0.07658743093510703, 0.35198891988762143, -0.2782143565281382, -0.26427538970590764, 0.10605740638994524, -0.2743357764732725, -0.09112565953038493, 0.11890753193644209, -0.0541079467039485, 0.021715254681009166, -0.0392635416520654, 0.09163485464248981, -0.0588942224616712, -0.21769124519009636, 0.293289602101552, 0.08396205132803002, 0.32088624979457203, 0.10333832400798235, 0.08821293125631956, -0.01474556722238941, 0.03606191823997025, 0.043641445435636306, -0.09444318279483409, 0.03791857252494907, 0.27206232830144045, 0.03277671149105958, 0.2850390815720806, -0.4512684298152069, -0.20214984808468595, 0.16481059893333125, 0.14736427117209389, 0.09433398016218869, -0.028469982767864218, -0.21494017226867518, 0.04848709390147255, -0.15108958788145826, -0.16090036702851923, -0.025564027475720306, 0.037286262906525494, -0.040536057608166955, -0.2085043577793634, 0.10951169152779258, 0.1004039530976201, 0.10862740159105018, -0.019055288513454626, -0.055127691793835386, -0.01350401599346748, 0.16557690707685532, 0.039196817722733854, 0.001119078259985402, 0.13729499618935767, -0.12658993264150648, -0.07082535330873896, 0.373467707417835, -0.05403656023993807, -0.1776574159330438, 0.16614699689671397, -0.14771805314417435, -0.16777650256781787, 0.1510105538972706, 0.1765811531101617, 0.10117915733980964, -0.12980615851943786, 0.07732736144955095, -0.03182816419328721, 0.15806557086103087, 0.022910607223100257, 0.015547627530429722, 0.2032349274651903, 0.19486308407108738, 0.06513891070817579, 0.15095030480253352, -0.05478268615760893, -0.1288424046218114, -0.3337855277020695, -0.14509153709623893, -0.2081311831145354, 0.08532106929556423, -0.10013459231001588, -0.1659317341334415, 0.35551101072990104, 0.14228117936027218, 0.2216215967288557, 0.0532071507834601, 0.27631006541855213, 0.15759511144374902, 0.08050466131831888, 0.09552238179142324, 0.21319832408554712, 0.11353106860440436, 0.11529651965137641, -0.2501339033017603, 0.04872206761062427, 0.04043864554567438] |
708.3074 | Phase-slip induced dissipation in an atomic Bose-Hubbard system | Phase slips play a primary role in dissipation across a wide spectrum of
bosonic systems, from determining the critical velocity of superfluid helium to
generating resistance in thin superconducting wires. This subject has also
inspired much technological interest, largely motivated by applications
involving nanoscale superconducting circuit elements, e.g., standards based on
quantum phase-slip junctions. While phase slips caused by thermal fluctuations
at high temperatures are well understood, controversy remains over the role of
phase slips in small-scale superconductors. In solids, problems such as
uncontrolled noise sources and disorder complicate the study and application of
phase slips. Here we show that phase slips can lead to dissipation for a clean
and well-characterized Bose-Hubbard (BH) system by experimentally studying
transport using ultra-cold atoms trapped in an optical lattice. In contrast to
previous work, we explore a low velocity regime described by the 3D BH model
which is not affected by instabilities, and we measure the effect of
temperature on the dissipation strength. We show that the damping rate of
atomic motion-the analogue of electrical resistance in a solid-in the confining
parabolic potential fits well to a model that includes finite damping at zero
temperature. The low-temperature behaviour is consistent with the theory of
quantum tunnelling of phase slips, while at higher temperatures a cross-over
consistent with the transition to thermal activation of phase slips is evident.
Motion-induced features reminiscent of vortices and vortex rings associated
with phase slips are also observed in time-of-flight imaging.
| cond-mat.other | phase slips play a primary role in dissipation across a wide spectrum of bosonic systems from determining the critical velocity of superfluid helium to generating resistance in thin superconducting wires this subject has also inspired much technological interest largely motivated by applications involving nanoscale superconducting circuit elements eg standards based on quantum phaseslip junctions while phase slips caused by thermal fluctuations at high temperatures are well understood controversy remains over the role of phase slips in smallscale superconductors in solids problems such as uncontrolled noise sources and disorder complicate the study and application of phase slips here we show that phase slips can lead to dissipation for a clean and wellcharacterized bosehubbard bh system by experimentally studying transport using ultracold atoms trapped in an optical lattice in contrast to previous work we explore a low velocity regime described by the 3d bh model which is not affected by instabilities and we measure the effect of temperature on the dissipation strength we show that the damping rate of atomic motionthe analogue of electrical resistance in a solidin the confining parabolic potential fits well to a model that includes finite damping at zero temperature the lowtemperature behaviour is consistent with the theory of quantum tunnelling of phase slips while at higher temperatures a crossover consistent with the transition to thermal activation of phase slips is evident motioninduced features reminiscent of vortices and vortex rings associated with phase slips are also observed in timeofflight imaging | [['phase', 'slips', 'play', 'a', 'primary', 'role', 'in', 'dissipation', 'across', 'a', 'wide', 'spectrum', 'of', 'bosonic', 'systems', 'from', 'determining', 'the', 'critical', 'velocity', 'of', 'superfluid', 'helium', 'to', 'generating', 'resistance', 'in', 'thin', 'superconducting', 'wires', 'this', 'subject', 'has', 'also', 'inspired', 'much', 'technological', 'interest', 'largely', 'motivated', 'by', 'applications', 'involving', 'nanoscale', 'superconducting', 'circuit', 'elements', 'eg', 'standards', 'based', 'on', 'quantum', 'phaseslip', 'junctions', 'while', 'phase', 'slips', 'caused', 'by', 'thermal', 'fluctuations', 'at', 'high', 'temperatures', 'are', 'well', 'understood', 'controversy', 'remains', 'over', 'the', 'role', 'of', 'phase', 'slips', 'in', 'smallscale', 'superconductors', 'in', 'solids', 'problems', 'such', 'as', 'uncontrolled', 'noise', 'sources', 'and', 'disorder', 'complicate', 'the', 'study', 'and', 'application', 'of', 'phase', 'slips', 'here', 'we', 'show', 'that', 'phase', 'slips', 'can', 'lead', 'to', 'dissipation', 'for', 'a', 'clean', 'and', 'wellcharacterized', 'bosehubbard', 'bh', 'system', 'by', 'experimentally', 'studying', 'transport', 'using', 'ultracold', 'atoms', 'trapped', 'in', 'an', 'optical', 'lattice', 'in', 'contrast', 'to', 'previous', 'work', 'we', 'explore', 'a', 'low', 'velocity', 'regime', 'described', 'by', 'the', '3d', 'bh', 'model', 'which', 'is', 'not', 'affected', 'by', 'instabilities', 'and', 'we', 'measure', 'the', 'effect', 'of', 'temperature', 'on', 'the', 'dissipation', 'strength', 'we', 'show', 'that', 'the', 'damping', 'rate', 'of', 'atomic', 'motionthe', 'analogue', 'of', 'electrical', 'resistance', 'in', 'a', 'solidin', 'the', 'confining', 'parabolic', 'potential', 'fits', 'well', 'to', 'a', 'model', 'that', 'includes', 'finite', 'damping', 'at', 'zero', 'temperature', 'the', 'lowtemperature', 'behaviour', 'is', 'consistent', 'with', 'the', 'theory', 'of', 'quantum', 'tunnelling', 'of', 'phase', 'slips', 'while', 'at', 'higher', 'temperatures', 'a', 'crossover', 'consistent', 'with', 'the', 'transition', 'to', 'thermal', 'activation', 'of', 'phase', 'slips', 'is', 'evident', 'motioninduced', 'features', 'reminiscent', 'of', 'vortices', 'and', 'vortex', 'rings', 'associated', 'with', 'phase', 'slips', 'are', 'also', 'observed', 'in', 'timeofflight', 'imaging']] | [-0.19148700275497202, 0.2576208671599185, -0.04374865020702903, 0.020751434314782578, 0.005059213646867041, -0.15319154688040726, 0.07767245837167139, 0.3463137405846889, -0.24788932204052497, -0.258357872980802, 0.05076822849465922, -0.2893879936115506, -0.13978448515893735, 0.2394471962414779, -0.04778545612595432, 0.05974395595646153, -0.01256186801512437, -0.0338147835888473, -0.07575674832284372, -0.17943594514702757, 0.2988890915488203, 0.053320819987129654, 0.3108166016153215, 0.07703645386500284, 0.0473781106256259, -0.04935992113411582, 0.0490703717891544, 0.052962043142179026, -0.15746399153088836, -0.007995355183569093, 0.2671708883261696, -0.08012382922461256, 0.19808154453639873, -0.4751925073796883, -0.28231047646841034, 0.09751749769520757, 0.18580419478354696, 0.16128203217958798, -0.06786140106366172, -0.266766758323259, 0.0028737252034867805, -0.16499266392784193, -0.12447439931177845, -0.08757100281848883, 0.019401167983111613, 0.006890270273531011, -0.22135187179592322, 0.1382390217174058, 0.06112727369036293, 0.11822298290207982, -0.06350079920569746, -0.04401438897233068, -0.017441825182565176, 0.057285270855451625, 0.002006909442328227, 0.03307243168577164, 0.1900913490933211, -0.17178796780159852, -0.07435293480715094, 0.3572937286420104, -0.057324417324465075, -0.07577749327368413, 0.17830637118410475, -0.1725998578222061, -0.062290591538961354, 0.1886701147983937, 0.11761858828297894, 0.04804033901600633, -0.12042777732713147, 0.02736197472928931, 0.04989661020614828, 0.14615329363296042, 0.05185537942452356, 0.10552299591217888, 0.29500831133045724, 0.2178295790858101, 0.012624779604569389, 0.17259203643431345, -0.11045966019470749, -0.11540544719900936, -0.2642363300003732, -0.1267387774346086, -0.20816031861274192, 0.03895400936714092, -0.02729550179180175, -0.2036809431425354, 0.3622705284040421, 0.18608736797080686, 0.2067802359804773, -0.04716049425345167, 0.2881821643813358, 0.12072271629052314, 0.06130649204181585, 0.022171124951152404, 0.24620356760084786, 0.1761977632093476, 0.13641077405536634, -0.30904896006395577, 0.06909932742128148, 0.03534166315415253] |
708.3075 | Defining the integers in large rings of number fields using one
universal quantifier | Julia Robinson has given a first-order definition of the rational integers
$\mathbb Z$ in the rational numbers $\mathbb Q$ by a formula $(\forall \exists
\forall \exists)(F=0)$ where the $\forall$-quantifiers run over a total of 8
variables, and where F is a polynomial.
We show that for a large class of number fields, not including $\mathbb Q$,
for every $\epsilon>0$, there exists a set of primes $\cal S$ of natural
density exceeding $1-\epsilon$, such that $\mathbb Z$ can be defined as a
subset of the ``large'' subring $$\{x \in K : \ord_{\mathfrak p}x >0, \forall
\mathfrak p \not \in \cal S \}$$ of K by a formula of the form $(\exists
\forall \exists)(F=0)$ where there is only one $\forall$-quantifier, and where
F is a polynomial.
| math.LO math.NT | julia robinson has given a firstorder definition of the rational integers mathbb z in the rational numbers mathbb q by a formula forall exists forall existsf0 where the forallquantifiers run over a total of 8 variables and where f is a polynomial we show that for a large class of number fields not including mathbb q for every epsilon0 there exists a set of primes cal s of natural density exceeding 1epsilon such that mathbb z can be defined as a subset of the large subring x in k ord_mathfrak px 0 forall mathfrak p not in cal s of k by a formula of the form exists forall existsf0 where there is only one forallquantifier and where f is a polynomial | [['julia', 'robinson', 'has', 'given', 'a', 'firstorder', 'definition', 'of', 'the', 'rational', 'integers', 'mathbb', 'z', 'in', 'the', 'rational', 'numbers', 'mathbb', 'q', 'by', 'a', 'formula', 'forall', 'exists', 'forall', 'existsf0', 'where', 'the', 'forallquantifiers', 'run', 'over', 'a', 'total', 'of', '8', 'variables', 'and', 'where', 'f', 'is', 'a', 'polynomial', 'we', 'show', 'that', 'for', 'a', 'large', 'class', 'of', 'number', 'fields', 'not', 'including', 'mathbb', 'q', 'for', 'every', 'epsilon0', 'there', 'exists', 'a', 'set', 'of', 'primes', 'cal', 's', 'of', 'natural', 'density', 'exceeding', '1epsilon', 'such', 'that', 'mathbb', 'z', 'can', 'be', 'defined', 'as', 'a', 'subset', 'of', 'the', 'large', 'subring', 'x', 'in', 'k', 'ord_mathfrak', 'px', '0', 'forall', 'mathfrak', 'p', 'not', 'in', 'cal', 's', 'of', 'k', 'by', 'a', 'formula', 'of', 'the', 'form', 'exists', 'forall', 'existsf0', 'where', 'there', 'is', 'only', 'one', 'forallquantifier', 'and', 'where', 'f', 'is', 'a', 'polynomial']] | [-0.2517047281910339, 0.11287128234791577, -0.005476494741618124, -0.019251692794366844, -0.02044354146744451, -0.1910012960075759, 0.026490014955863103, 0.2793510931934047, -0.30851937753235936, -0.18709379226828998, 0.034553936450805865, -0.31251260249787927, -0.08994124870166247, 0.17931426755096921, -0.04118638931033321, 0.019652027644726455, -0.04481034757346552, 0.133293350175437, -0.08382087697585423, -0.28125571268590754, 0.28049039484089255, -0.17237523887465653, 0.11617958812345551, 0.04253413189107027, 0.1488088552111712, -0.008208122641707841, 0.08576566808753544, 0.02701343151016368, -0.20116206261383582, 0.01201107898233538, 0.31956136143869823, 0.20375259636113277, 0.34102461106565773, -0.32624019437512325, -0.13624681369998518, 0.2937415622604581, 0.17345787479709357, -0.0909261098728539, -0.009870246586063478, -0.1846698857525475, 0.19048960725816652, -0.1456995026773622, -0.10155584144756262, -0.039609612865198374, 0.23304125445727736, 0.044659371169395425, -0.3948700312996665, 0.011163408410313547, 0.12845083449979144, 0.11968596564987913, 0.05164515993828511, -0.15132170836003417, -0.06124006840400398, -0.003252936964934198, -0.03579475770258687, 0.21972299417735547, 0.0437507954874856, -0.08536030791508846, -0.07591120636042877, 0.4037405126369916, -0.09925628252104561, -0.22969487140703404, 0.05982426785601255, -0.22439274395632947, -0.16057381400058413, 0.14675872354234895, 0.07324702572873515, 0.18786997182899687, -0.0049024468335585715, 0.32018109141852963, -0.18096998578005144, 0.18257790703215024, 0.1058859868755198, 0.0019653306350621404, 0.13176040618449578, 0.05433845986476821, 0.05030927893458905, 0.08520729090266216, -0.015128913407142345, 0.045106878022575736, -0.4314069100615815, -0.1636000202777676, -0.21573106610638082, 0.18950650333372168, -0.12419245461311439, -0.15931424915663198, 0.2772493268558198, 0.05097144549418018, 0.24164763185330945, 0.10595369252225018, 0.18805956915438843, 0.11613182699455557, 0.03991183059083091, 0.11164061629221353, 0.03492604307511933, 0.10246306133026686, -0.05097496670045946, -0.10525890117367873, 0.043393743033401475, 0.12395174477973746] |
708.3076 | Annihilation of the electron-positron pairs in polyelectrons | This paper has been withdrawn due to disagreement of suggested results and
methods between authors.
| hep-ph | this paper has been withdrawn due to disagreement of suggested results and methods between authors | [['this', 'paper', 'has', 'been', 'withdrawn', 'due', 'to', 'disagreement', 'of', 'suggested', 'results', 'and', 'methods', 'between', 'authors']] | [-0.04648124606659015, -0.08691756182039777, -0.14241849693159261, -0.02053842300083488, -0.12151742093265057, -0.06056763802965482, 0.03662305158407738, 0.41637521783510845, -0.2054200366139412, -0.41943285465240476, 0.035769740119576454, -0.34087974230448403, -0.20463877816994985, 0.13377958598236242, -0.26464277468621733, 0.12568782816330593, 0.05206467757622401, -0.10656174657245478, -0.08461264986544847, -0.3409466005551318, 0.31256872167189914, 0.141865320255359, 0.2855582498013973, 0.2791360767558217, 0.04574777161081632, -0.16193880047649145, -0.1847255416214466, 0.059406179438034695, -0.19442702929178873, 0.1519648370643457, 0.26073543752233186, 0.02476204390016695, 0.4132598449786504, -0.40627214809258777, -0.2407105330998699, 0.1828623759249846, 0.20606349110603334, 0.1784816227853298, -0.09697488478074472, -0.3414047205199798, 0.16821252927184105, -0.31475447174161675, -0.11523971607287725, 0.003004090053339799, 0.12320460168023904, -0.09249380522718033, -0.17451986465603114, 0.09388857490072648, 0.13884256879488627, 0.14322563484311104, -0.002620533403630058, -0.20278551975886028, 0.10145208636919657, 0.1599828374882539, 0.3449673026800156, 0.0952731730416417, -0.06617480176500976, -0.024952940441047154, -0.18984223604202272, 0.34723365505536397, 0.06360506204267342, -0.16765953780462345, 0.25909474939107896, -0.04347622593243917, -0.16187851776679357, 0.09343506669004759, 0.10995015067358811, 0.05416958571101228, -0.18976085589577754, 0.13461810840526595, -0.02635875940322876, 0.17337793707847596, 0.1800348049029708, -0.02732619345188141, 0.11182017500201862, 0.13986125315229098, -0.04603949716935555, 0.11289974887234469, -0.017662509406606356, -0.06245863164464633, -0.12620176548759143, -0.11419135394195716, -0.23651842568069698, -0.008178661701579888, 0.21982602095328427, -0.05065211784094572, 0.33710633317629496, 0.2635500711699327, 0.1610783413052559, -0.09611974830428759, 0.28359669297933576, 0.1059391462476924, 0.06999645556012789, 0.012363934765259425, 0.35521218764285245, 0.22642517412702243, 0.17310293267170587, -0.09498161226511001, 0.2268153492671748, 0.11100862907866636] |
708.3077 | Chandra detection of diffuse hot gas in and around the M31 bulge | We report the detection of diffuse hot gas in M31, using archival Chandra
observations which allow us to map out a 30' by 30' field (covering a
galactocentric radius up to 4.5 kpc) and to detect sources in the galaxy down
to a 0.5-8 keV luminosity limit of ~10^35 ergs/s. We estimate the remaining
stellar contribution from fainter X-ray sources (primarily cataclysmic
variables and coronally active binaries), assuming that they spatially follow
the stellar distribution. Indeed, the near-IR K-band light of the galaxy
closely traces the 2-8 keV unresolved X-rays, indicating a collective stellar
X-ray emissivity consistent with those determined for the Galactic ridge and
M32, whereas the amount of the 0.5-2 keV unresolved emission is significantly
greater than the expected stellar contribution, especially within a
galactocentric radius of ~2 kpc. Morphologically, this soft X-ray excess
appears substantially rounder than the bulge as seen in K-band and is elongated
approximately along the minor-axis at large radii. The excess thus most likely
represents the emission of diffuse hot gas in and around the galactic bulge.
Furthermore, the near side of the M31 disk casts an apparent shadow against the
soft X-ray excess, indicating that the hot gas extends to at least 2.5 kpc from
the galactic plane. We briefly discuss the implications of these results on the
energy balance in the M31 bulge and on understanding the large-scale soft X-ray
enhancement observed toward the inner region of our own Galaxy.
| astro-ph | we report the detection of diffuse hot gas in m31 using archival chandra observations which allow us to map out a 30 by 30 field covering a galactocentric radius up to 45 kpc and to detect sources in the galaxy down to a 058 kev luminosity limit of 1035 ergss we estimate the remaining stellar contribution from fainter xray sources primarily cataclysmic variables and coronally active binaries assuming that they spatially follow the stellar distribution indeed the nearir kband light of the galaxy closely traces the 28 kev unresolved xrays indicating a collective stellar xray emissivity consistent with those determined for the galactic ridge and m32 whereas the amount of the 052 kev unresolved emission is significantly greater than the expected stellar contribution especially within a galactocentric radius of 2 kpc morphologically this soft xray excess appears substantially rounder than the bulge as seen in kband and is elongated approximately along the minoraxis at large radii the excess thus most likely represents the emission of diffuse hot gas in and around the galactic bulge furthermore the near side of the m31 disk casts an apparent shadow against the soft xray excess indicating that the hot gas extends to at least 25 kpc from the galactic plane we briefly discuss the implications of these results on the energy balance in the m31 bulge and on understanding the largescale soft xray enhancement observed toward the inner region of our own galaxy | [['we', 'report', 'the', 'detection', 'of', 'diffuse', 'hot', 'gas', 'in', 'm31', 'using', 'archival', 'chandra', 'observations', 'which', 'allow', 'us', 'to', 'map', 'out', 'a', '30', 'by', '30', 'field', 'covering', 'a', 'galactocentric', 'radius', 'up', 'to', '45', 'kpc', 'and', 'to', 'detect', 'sources', 'in', 'the', 'galaxy', 'down', 'to', 'a', '058', 'kev', 'luminosity', 'limit', 'of', '1035', 'ergss', 'we', 'estimate', 'the', 'remaining', 'stellar', 'contribution', 'from', 'fainter', 'xray', 'sources', 'primarily', 'cataclysmic', 'variables', 'and', 'coronally', 'active', 'binaries', 'assuming', 'that', 'they', 'spatially', 'follow', 'the', 'stellar', 'distribution', 'indeed', 'the', 'nearir', 'kband', 'light', 'of', 'the', 'galaxy', 'closely', 'traces', 'the', '28', 'kev', 'unresolved', 'xrays', 'indicating', 'a', 'collective', 'stellar', 'xray', 'emissivity', 'consistent', 'with', 'those', 'determined', 'for', 'the', 'galactic', 'ridge', 'and', 'm32', 'whereas', 'the', 'amount', 'of', 'the', '052', 'kev', 'unresolved', 'emission', 'is', 'significantly', 'greater', 'than', 'the', 'expected', 'stellar', 'contribution', 'especially', 'within', 'a', 'galactocentric', 'radius', 'of', '2', 'kpc', 'morphologically', 'this', 'soft', 'xray', 'excess', 'appears', 'substantially', 'rounder', 'than', 'the', 'bulge', 'as', 'seen', 'in', 'kband', 'and', 'is', 'elongated', 'approximately', 'along', 'the', 'minoraxis', 'at', 'large', 'radii', 'the', 'excess', 'thus', 'most', 'likely', 'represents', 'the', 'emission', 'of', 'diffuse', 'hot', 'gas', 'in', 'and', 'around', 'the', 'galactic', 'bulge', 'furthermore', 'the', 'near', 'side', 'of', 'the', 'm31', 'disk', 'casts', 'an', 'apparent', 'shadow', 'against', 'the', 'soft', 'xray', 'excess', 'indicating', 'that', 'the', 'hot', 'gas', 'extends', 'to', 'at', 'least', '25', 'kpc', 'from', 'the', 'galactic', 'plane', 'we', 'briefly', 'discuss', 'the', 'implications', 'of', 'these', 'results', 'on', 'the', 'energy', 'balance', 'in', 'the', 'm31', 'bulge', 'and', 'on', 'understanding', 'the', 'largescale', 'soft', 'xray', 'enhancement', 'observed', 'toward', 'the', 'inner', 'region', 'of', 'our', 'own', 'galaxy']] | [-0.009652478801730483, 0.10029181827666583, -0.06503881692391222, 0.13135493211263097, -0.11122820315450024, -0.02911149195571251, 0.07194554892920979, 0.4475286635706614, -0.1732122430691854, -0.3770896300993018, 0.03633825981231586, -0.3768419013307508, 0.029621136163129513, 0.2057742715455693, -0.02874121006208503, -0.052522490318829516, 0.009256067886465389, -0.10340466498295975, -0.044028868158854484, -0.23794729922504543, 0.2502839585140768, 0.09967800313762729, 0.11981714452386963, -0.002440556244745414, 0.06155169823998001, -0.07431286327720125, -0.10459087965776169, -0.0412670166414839, -0.10493469407040847, 0.062206817558035254, 0.24963918243725802, 0.07801574169366843, 0.18622180646690675, -0.3285696684484171, -0.20427842433800605, 0.04351614856513833, 0.25046440835060185, -0.04708775811756583, -0.041159925251715974, -0.23795604079651986, 0.0412834350226221, -0.18384263275101562, -0.24433896571963296, 0.1469140226937997, 0.04481709875978888, -0.014588964805903232, -0.14425628998443743, 0.1787164036270278, 0.03522104660933643, 0.09055511009875514, -0.16595310218112005, -0.11922431445805255, -0.04332471358449545, -0.001003646030710332, 0.04913738673790572, 0.13375189767032084, 0.26306695955567777, -0.13201480487918785, 0.002292420070181955, 0.37970367880444583, -0.05350010774683336, 0.0739935256739753, 0.22082251480149268, -0.2534393545602561, -0.1784373930573588, 0.1959178805568988, 0.13992332805446875, 0.10132940701368776, -0.166554209548263, -0.005974553326226646, -0.04458271768470158, 0.283459632108027, 0.0638795483391732, 0.0695675738770432, 0.37661915559664555, 0.07261458674404833, 0.07150794780778087, 0.1390298456021791, -0.3245427861447333, -0.05198153510794948, -0.22264291372765868, -0.039165308747721145, -0.0815009795639286, 0.10834375604067512, -0.17579519908661392, -0.10715746021319071, 0.32585188242992597, 0.10386795907770381, 0.2478194117914324, 0.046881628088447536, 0.3287445135262627, 0.059567921844147394, 0.1301894160650016, 0.18561134516421285, 0.3628959476316511, 0.18804712684739333, 0.08225589711511329, -0.24526117455845536, 0.06124655093031323, -0.056057739159224795] |
708.3078 | Non-stable K-theory and extremally rich C*-algebras | We consider the properties weak cancellation, K_1-surjectivity, good index
theory, and K_1-injectivity for the class of extremally rich C*-algebras, and
for the smaller class of isometrically rich C*-algebras. We establish all four
properties for isometrically rich C*-algebras and for extremally rich
C*-algebras that are either purely infinite or of real rank zero,
K_1-injectivity in the real rank zero case following from a prior result of H.
Lin. We also show that weak cancellation implies the other properties for
extremally rich C*-algebras and that the class of extremally rich C*-algebras
with weak cancellation is closed under extensions. Moreover, we consider
analogous properties which replace the group K_1(A) with the extremal K-set
K_e(A) as well as two versions of K_0-surjectivity.
| math.OA | we consider the properties weak cancellation k_1surjectivity good index theory and k_1injectivity for the class of extremally rich calgebras and for the smaller class of isometrically rich calgebras we establish all four properties for isometrically rich calgebras and for extremally rich calgebras that are either purely infinite or of real rank zero k_1injectivity in the real rank zero case following from a prior result of h lin we also show that weak cancellation implies the other properties for extremally rich calgebras and that the class of extremally rich calgebras with weak cancellation is closed under extensions moreover we consider analogous properties which replace the group k_1a with the extremal kset k_ea as well as two versions of k_0surjectivity | [['we', 'consider', 'the', 'properties', 'weak', 'cancellation', 'k_1surjectivity', 'good', 'index', 'theory', 'and', 'k_1injectivity', 'for', 'the', 'class', 'of', 'extremally', 'rich', 'calgebras', 'and', 'for', 'the', 'smaller', 'class', 'of', 'isometrically', 'rich', 'calgebras', 'we', 'establish', 'all', 'four', 'properties', 'for', 'isometrically', 'rich', 'calgebras', 'and', 'for', 'extremally', 'rich', 'calgebras', 'that', 'are', 'either', 'purely', 'infinite', 'or', 'of', 'real', 'rank', 'zero', 'k_1injectivity', 'in', 'the', 'real', 'rank', 'zero', 'case', 'following', 'from', 'a', 'prior', 'result', 'of', 'h', 'lin', 'we', 'also', 'show', 'that', 'weak', 'cancellation', 'implies', 'the', 'other', 'properties', 'for', 'extremally', 'rich', 'calgebras', 'and', 'that', 'the', 'class', 'of', 'extremally', 'rich', 'calgebras', 'with', 'weak', 'cancellation', 'is', 'closed', 'under', 'extensions', 'moreover', 'we', 'consider', 'analogous', 'properties', 'which', 'replace', 'the', 'group', 'k_1a', 'with', 'the', 'extremal', 'kset', 'k_ea', 'as', 'well', 'as', 'two', 'versions', 'of', 'k_0surjectivity']] | [-0.12719719239470104, 0.12534323106317416, -0.04605043170892674, 0.10781818704132963, -0.08399971444564669, -0.17056805886247237, -0.022374073145708637, 0.3869720755873815, -0.2813488438077595, -0.19499255555641393, 0.12173960440205005, -0.295265327896113, -0.14259503865816994, 0.17736071208694382, -0.09534637166754059, -0.028922193566256242, 0.06164709736147653, 0.11616198967980301, -0.12807504069262549, -0.22163738837141705, 0.416905561555177, -0.06885072922172106, 0.23848055752561145, 0.05773107896346356, 0.06386043621713053, 0.01800721343809172, 0.031321221707469746, 0.0963818183330738, -0.14701837489840766, 0.08387699976725423, 0.2694182582270435, 0.11051678877809773, 0.20219443832402645, -0.34280323276053304, -0.1803657427015107, 0.19962267270311712, 0.07541767320869004, 0.01221666664350778, -0.10026552869492898, -0.3010386767088557, 0.1362231504374548, -0.22099728245774042, -0.11904063192398652, -0.12613203807369522, 0.04758508307353148, -0.004459032999432605, -0.27461938405328473, 0.029742074696822902, 0.15736181212528405, 0.06203100963131241, -0.07113098005318771, -0.0823543442129765, -0.026777749713105353, 0.12688184497756477, 0.00026309261017519497, -0.04379269849994908, 0.0593010820083968, -0.08680419912156852, -0.11145372866936352, 0.3476022962156845, -0.08051069514097078, -0.1638265700848854, 0.23793947744264227, -0.18039154279977082, -0.22454212937180115, 0.11651189837442792, 0.091564534800937, 0.1557649980992605, -0.05606932073993527, 0.1996553052601445, -0.13741682753290818, 0.09195720271571822, 0.03446206012740731, 0.12558333293494323, 0.12624698369156406, 0.05087366688024739, 0.1197154891555724, 0.21365881489397473, 0.07000487113938383, -0.07020368424608656, -0.3220476375973743, -0.14430496027774137, -0.09546499845227631, 0.13454032290281484, -0.10808093621871313, -0.23083732328073972, 0.3613823297393063, 0.05404817001975101, 0.20288482445251682, 0.0741984774854601, 0.21781702070780423, 0.0063776158343028765, 0.03960622858822994, 0.1008535862090471, 0.1979004588140094, 0.24837376545790746, -0.028402816687783976, -0.13947942676630032, -0.01960309547898562, 0.17235740485560636] |
708.3079 | Feynman's Integral is About Mutually Unbiased Bases | The Feynman integral can be seen as an attempt to relate, under certain
circumstances, the quantum-information-theoretic separateness of mutually
unbiased bases to causal proximity of the measuring processes.
| quant-ph hep-th math-ph math.MP | the feynman integral can be seen as an attempt to relate under certain circumstances the quantuminformationtheoretic separateness of mutually unbiased bases to causal proximity of the measuring processes | [['the', 'feynman', 'integral', 'can', 'be', 'seen', 'as', 'an', 'attempt', 'to', 'relate', 'under', 'certain', 'circumstances', 'the', 'quantuminformationtheoretic', 'separateness', 'of', 'mutually', 'unbiased', 'bases', 'to', 'causal', 'proximity', 'of', 'the', 'measuring', 'processes']] | [-0.16802280735490577, 0.11341873954318414, -0.12804010922887496, 0.12674091064504214, -0.11919714578626943, -0.0647171913546377, 0.03847657411824912, 0.3827598236634263, -0.3197506011596748, -0.23074964492116123, 0.07799147811186101, -0.22395068380449498, -0.13187073715796163, 0.1882421402260661, -0.09864164383283683, 0.02222722369645323, 0.008877569909340568, 0.07034671892012868, -0.0704226259175422, -0.2477086360699364, 0.34201774107558386, 0.10877181077376008, 0.26135578957785455, -0.02454626042370884, 0.1078026465007237, 0.030346338753588498, -0.05337332413598363, 0.04105724474149091, -0.1437624672959958, 0.1304055703803897, 0.33857523410448004, 0.14562371719096387, 0.21170599771929638, -0.4284666762022035, -0.14389148919976183, 0.17305016088565545, 0.15185734749372518, 0.05246309134443956, 0.09187216527269422, -0.29450643341988325, -0.01651333362263228, -0.11917001228513462, -0.1696336633924927, -0.14619397039392165, -0.057474837372345586, -0.03297350346110761, -0.2995848542611514, 0.036031005305371115, 0.03764066288463904, 0.05973849329166114, -0.01150009608162301, -0.07761206452934337, 0.0007344456722161599, 0.18477617094426282, 0.03196245721275253, -0.003561563922890595, 0.13822729453802043, -0.10155369314764227, -0.22471157228574157, 0.34173147992364, -0.0253219559090212, -0.21206049687628234, 0.18997710271339333, -0.15440622737099016, -0.09943412974410291, 0.08848663569993473, 0.10380170813628606, 0.10937913883078311, -0.28883995302021503, 0.03186760131003601, -0.048154081883175034, 0.03483812550881079, 0.10523540413539324, 0.0733706820756197, 0.22783696426943476, 0.022033274340044175, 0.08281199630749013, 0.15951090581698477, -0.030059953752372946, -0.11697161498679114, -0.3215983755736878, -0.18131018468245333, -0.11947774780648095, 0.12483151353496526, -0.10346466297258823, -0.20092959768537963, 0.280717019041601, 0.1860818090416225, 0.20574082410894334, -0.01770543298256858, 0.19401307683438063, 0.13778705408913083, 0.11393158550241164, -0.018983032670803368, 0.24516728719962494, 0.18610818151916778, -0.04058540778766785, -0.1944649800591703, 0.1538304794313652, 0.0424109850511221] |
708.308 | Constraint from D - anti-D Mixing in Left-Right Symmetric Models | We study the constraint arising from the recently observed D - anti-D mixing
in the context of supersymmetric models with left-right symmetry. In these
models, the supersymmetric contributions in the mixing amplitudes of D -
anti-D, K - anti-K and B - anti-B are all correlated. We compare the constraint
from the D - anti-D mixing with the K - anti-K mixing and find that the D -
anti-D mixing constrains the maximal supersymmetric contribution to the B_s -
anti-B_s mixing amplitude. The maximal supersymmetric contribution can allow a
large CP phase of B_s - anti-B_s mixing which agrees with the recent
measurement of the CP asymmetry of B_s -> J/psi phi decay.
| hep-ph | we study the constraint arising from the recently observed d antid mixing in the context of supersymmetric models with leftright symmetry in these models the supersymmetric contributions in the mixing amplitudes of d antid k antik and b antib are all correlated we compare the constraint from the d antid mixing with the k antik mixing and find that the d antid mixing constrains the maximal supersymmetric contribution to the b_s antib_s mixing amplitude the maximal supersymmetric contribution can allow a large cp phase of b_s antib_s mixing which agrees with the recent measurement of the cp asymmetry of b_s jpsi phi decay | [['we', 'study', 'the', 'constraint', 'arising', 'from', 'the', 'recently', 'observed', 'd', 'antid', 'mixing', 'in', 'the', 'context', 'of', 'supersymmetric', 'models', 'with', 'leftright', 'symmetry', 'in', 'these', 'models', 'the', 'supersymmetric', 'contributions', 'in', 'the', 'mixing', 'amplitudes', 'of', 'd', 'antid', 'k', 'antik', 'and', 'b', 'antib', 'are', 'all', 'correlated', 'we', 'compare', 'the', 'constraint', 'from', 'the', 'd', 'antid', 'mixing', 'with', 'the', 'k', 'antik', 'mixing', 'and', 'find', 'that', 'the', 'd', 'antid', 'mixing', 'constrains', 'the', 'maximal', 'supersymmetric', 'contribution', 'to', 'the', 'b_s', 'antib_s', 'mixing', 'amplitude', 'the', 'maximal', 'supersymmetric', 'contribution', 'can', 'allow', 'a', 'large', 'cp', 'phase', 'of', 'b_s', 'antib_s', 'mixing', 'which', 'agrees', 'with', 'the', 'recent', 'measurement', 'of', 'the', 'cp', 'asymmetry', 'of', 'b_s', 'jpsi', 'phi', 'decay']] | [-0.14488252270876348, 0.3307527413284316, -0.02062388091773084, 0.07114092388090867, -0.02608533997034419, -0.16281242094011705, 0.06957338465314394, 0.23823689600651704, -0.2518975977035402, -0.25627315491076236, -0.013979647157135086, -0.3406886243650201, -0.0364377106567031, 0.05639188049487697, 0.07156608187711065, 0.0943518061896117, 0.055399759292819546, -0.0018215453166297627, -0.12329325833339787, -0.1494002291408268, 0.24228066735837644, -0.08997521878364813, 0.1861124463126208, 0.09708424375925973, -0.05157293482837312, -0.03585592515368774, -0.10218221439247571, -0.09162362409954511, -0.18449140278865794, 0.07592767487885882, 0.13977518417168627, 0.12828983753937687, 0.02114588947938721, -0.31125611196118363, -0.11414783533879565, 0.20015043464661078, 0.15664033872500352, 0.05959580106620035, 0.010668243163997688, -0.32956133502562646, 0.05629037263649471, -0.18330332687468204, -0.05690774106809381, -0.05625531184984353, 0.07479927434305687, -0.13557730376657134, -0.42632142258175076, 0.11137500382706668, -0.03080968113019339, 0.0072931014091789145, 0.06286069845952527, -0.2509774296065268, -0.088248617291559, 0.026093174174464155, 0.16874151078315036, 0.10237825059024527, 0.08049718575954473, -0.12031777923727788, -0.1515001448558517, 0.4208639315985035, -0.15295380965842711, -0.18160547027635632, 0.12661768665121306, -0.2437608216807825, -0.18111976573370325, 0.1589888757054052, 0.2014533951516869, 0.08194994139377688, -0.12371417332115103, 0.23154050822356192, -0.10368430915794977, 0.12817754525040248, 0.054709015296573196, 0.09748335615324888, 0.16725657605430455, 0.15800324038973132, 0.01081022180365941, 0.05716774377574041, -0.10201844995280782, -0.08223061576865397, -0.4280513258813654, -0.1013587647777738, -0.03813191874120023, 0.0945075752837493, -0.08306633728953051, -0.04283651219029884, 0.3843117988514669, 0.05194316890307711, 0.2780150993573434, 0.05604585474334404, 0.25215556221173224, 0.06916069625809029, 0.05379475996596739, 0.042956386778720664, 0.3056159701008458, 0.2675348163663762, 0.10807117301681378, -0.3807219482406757, 0.03394120775764464, 0.0282817947388925] |
708.3081 | Transport in Graphene p-n Junctions in Magnetic Field | Ballistic transport in graphene p-n junctions in the presence of magnetic
field exhibits two distinct regimes: At low fields, transport is partially
suppressed by the field. When the field exceeds a certain critical value, the
junction is pinched off by the Landau level formation. Transmission and
conductance are found in the entire range of fields using Lorentz boost and
mapping to the Landau-Zener problem. We show that perfect transmission occurs
at a field-dependent collimation angle, indicating that the chiral dynamics of
massless Dirac fermions persists at a finite magnetic field. A current switch,
utilizing field-tunable collimation angle, is proposed. With a generalization
of the developed approach we study transmission through p-n junctions in
graphene bilayer.
| cond-mat.mes-hall | ballistic transport in graphene pn junctions in the presence of magnetic field exhibits two distinct regimes at low fields transport is partially suppressed by the field when the field exceeds a certain critical value the junction is pinched off by the landau level formation transmission and conductance are found in the entire range of fields using lorentz boost and mapping to the landauzener problem we show that perfect transmission occurs at a fielddependent collimation angle indicating that the chiral dynamics of massless dirac fermions persists at a finite magnetic field a current switch utilizing fieldtunable collimation angle is proposed with a generalization of the developed approach we study transmission through pn junctions in graphene bilayer | [['ballistic', 'transport', 'in', 'graphene', 'pn', 'junctions', 'in', 'the', 'presence', 'of', 'magnetic', 'field', 'exhibits', 'two', 'distinct', 'regimes', 'at', 'low', 'fields', 'transport', 'is', 'partially', 'suppressed', 'by', 'the', 'field', 'when', 'the', 'field', 'exceeds', 'a', 'certain', 'critical', 'value', 'the', 'junction', 'is', 'pinched', 'off', 'by', 'the', 'landau', 'level', 'formation', 'transmission', 'and', 'conductance', 'are', 'found', 'in', 'the', 'entire', 'range', 'of', 'fields', 'using', 'lorentz', 'boost', 'and', 'mapping', 'to', 'the', 'landauzener', 'problem', 'we', 'show', 'that', 'perfect', 'transmission', 'occurs', 'at', 'a', 'fielddependent', 'collimation', 'angle', 'indicating', 'that', 'the', 'chiral', 'dynamics', 'of', 'massless', 'dirac', 'fermions', 'persists', 'at', 'a', 'finite', 'magnetic', 'field', 'a', 'current', 'switch', 'utilizing', 'fieldtunable', 'collimation', 'angle', 'is', 'proposed', 'with', 'a', 'generalization', 'of', 'the', 'developed', 'approach', 'we', 'study', 'transmission', 'through', 'pn', 'junctions', 'in', 'graphene', 'bilayer']] | [-0.27531503869787505, 0.1900597681817801, -0.02902780589242668, -8.786462105648673e-05, -0.00961266446089291, -0.1750660304263558, 0.050535706268704454, 0.38207407912806324, -0.25160232318322295, -0.2895178231532159, -0.02912824398878476, -0.2478412920933055, -0.13844152360385203, 0.19970977492630482, 0.03642156671570695, -0.005734478384661286, -0.011721001545210247, -0.020782057665612388, -0.06658182609218942, -0.17745865069977615, 0.3281872622101851, 0.022902898130047582, 0.33956911003460055, 0.10051557705130267, 0.08605704011557543, 0.028686010388090558, 0.1215005402777182, 0.06884572151643427, -0.12399744863442207, -0.0199924437602496, 0.21399541980505962, -0.09885178604365691, 0.2025133389007786, -0.43291905202457437, -0.2249128635628554, -0.0036432976227091705, 0.16457863400244843, 0.12602287179021085, -0.06738674355184902, -0.23469814248383045, 0.07298140562260928, -0.1245992186985424, -0.14813915204418743, -0.01799557908164823, -0.045120838705612266, -0.0339426273095381, -0.26153016463731943, 0.09163697900493507, 0.005206853979388657, 0.0796325427081446, -0.027171629582248304, -0.05788515056230371, -0.049485771491637694, 0.06595392621491793, 0.043404360020371235, 0.046313033159062995, 0.1990644651465118, -0.2017568179851641, -0.12058251141368047, 0.3396909186049648, -0.07859837830309635, -0.1315305990571885, 0.14018571190536022, -0.24526365426085564, -0.03726186320266646, 0.20870365671327581, 0.09673753313558257, 0.09828309144257852, -0.13091550039737385, 0.11418038709620622, -0.03250540501397589, 0.0892259344873626, 0.11569400162274099, 0.018934516045872284, 0.27657413842237516, 0.1807685814048771, 0.060397346180094326, 0.12637537059414647, -0.14942971750203035, -0.06508093774116233, -0.265683446371037, -0.14552737584580547, -0.1654547425634835, 0.1158962526925556, -0.06622360972257371, -0.17205956981557866, 0.42817753573636647, 0.15500831915389585, 0.17677204075228908, -0.024370044405045716, 0.28947736620903014, 0.20197462590168352, 0.08046244085644898, 0.0710869122337064, 0.2560475416076572, 0.19158704859488038, 0.1093435339184235, -0.29875456343263224, 0.012711416379265164, -0.011202110465535002] |
708.3082 | Path Integral Approach for for Quantum Motion on Spaces of Non-constant
Curvature According to Koenigs: Three Dimensions | In this contribution a path integral approach for the quantum motion on
three-dimensional spaces according to Koenigs, for short``Koenigs-Spaces'', is
discussed. Their construction is simple: One takes a Hamiltonian from
three-dimensional flat space and divides it by a three-dimensional
superintegrable potential. Such superintegrable potentials will be the
isotropic singular oscillator, the Holt-potential, the Coulomb potential, or
two centrifugal potentials, respectively. In all cases a non-trivial space of
non-constant curvature is generated. In order to obtain a proper quantum theory
a curvature term has to be incorporated into the quantum Hamiltonian. For
possible bound-state solutions we find equations up to twelfth order in the
energy E.
| quant-ph | in this contribution a path integral approach for the quantum motion on threedimensional spaces according to koenigs for shortkoenigsspaces is discussed their construction is simple one takes a hamiltonian from threedimensional flat space and divides it by a threedimensional superintegrable potential such superintegrable potentials will be the isotropic singular oscillator the holtpotential the coulomb potential or two centrifugal potentials respectively in all cases a nontrivial space of nonconstant curvature is generated in order to obtain a proper quantum theory a curvature term has to be incorporated into the quantum hamiltonian for possible boundstate solutions we find equations up to twelfth order in the energy e | [['in', 'this', 'contribution', 'a', 'path', 'integral', 'approach', 'for', 'the', 'quantum', 'motion', 'on', 'threedimensional', 'spaces', 'according', 'to', 'koenigs', 'for', 'shortkoenigsspaces', 'is', 'discussed', 'their', 'construction', 'is', 'simple', 'one', 'takes', 'a', 'hamiltonian', 'from', 'threedimensional', 'flat', 'space', 'and', 'divides', 'it', 'by', 'a', 'threedimensional', 'superintegrable', 'potential', 'such', 'superintegrable', 'potentials', 'will', 'be', 'the', 'isotropic', 'singular', 'oscillator', 'the', 'holtpotential', 'the', 'coulomb', 'potential', 'or', 'two', 'centrifugal', 'potentials', 'respectively', 'in', 'all', 'cases', 'a', 'nontrivial', 'space', 'of', 'nonconstant', 'curvature', 'is', 'generated', 'in', 'order', 'to', 'obtain', 'a', 'proper', 'quantum', 'theory', 'a', 'curvature', 'term', 'has', 'to', 'be', 'incorporated', 'into', 'the', 'quantum', 'hamiltonian', 'for', 'possible', 'boundstate', 'solutions', 'we', 'find', 'equations', 'up', 'to', 'twelfth', 'order', 'in', 'the', 'energy', 'e']] | [-0.14830696311987285, 0.1289602808238378, -0.07332580782658447, 0.07583210332255846, -0.08964937147277507, -0.14024126040523202, -0.04128274811969763, 0.3443263261533767, -0.2618097360969241, -0.21913940212079008, 0.05503666455161224, -0.29734833977067643, -0.15613876443889751, 0.1995617114527386, -0.03134012176628107, 0.050070739821395246, 0.041180795483580494, 0.08335934209329918, -0.07574185089816259, -0.23769426631551344, 0.35165970724130285, -0.018876630413906595, 0.17255813348134166, 0.043738478830861814, 0.12144425306107523, -0.0012252114609209368, 0.050177082145875955, 0.03719953009502347, -0.16354699809899897, 0.0927036501720403, 0.21035086734274638, -0.0015952233360736693, 0.23988856545206413, -0.38599478675830134, -0.2523533502947969, 0.11971630340044215, 0.11556780048040222, 0.14801806708779727, -0.02400414629509329, -0.2916485587116873, 0.03923517799240003, -0.16996677619974734, -0.2043756761642408, -0.13906790324355683, 0.04767352707901047, -0.028895008639947883, -0.2620387656311278, 0.05492161364448302, 0.07397341361106599, -0.008033655891285359, -0.12770969383147301, -0.060969595666251424, -0.032262903177043764, 0.10449099213617302, -0.022275281527522697, 0.07290148265881337, 0.04683099450199928, -0.08936663888037676, -0.10680306801409686, 0.44735974608016316, -0.04487509262133209, -0.2847394691056852, 0.11650273892847658, -0.09388334507538566, -0.09320483880696222, 0.15407240863672447, 0.1562957287544511, 0.09748083025271308, -0.14593992717744944, 0.1839686003734032, 0.04984577594904763, 0.09266631272666663, 0.06138199684436171, -0.014895768682427198, 0.2053137762827072, 0.0952018497927675, 0.10477438620042996, 0.1358346044587749, -0.03944121621937934, -0.168244647058812, -0.3449674138383379, -0.19539323636557843, -0.2188335997380262, 0.1121753998806031, -0.09544392404792428, -0.18616476220087808, 0.4237047778931333, 0.07622183467831137, 0.15619981236240457, 0.016114231011405297, 0.2692687789778433, 0.1519599276684107, 0.08306507437797353, 0.05808933039005954, 0.26418163687063073, 0.14120535757980374, 0.06619746330899448, -0.1799594132993732, -0.09261184777540055, 0.139335334398196] |
708.3083 | Dynamics around supermassive black holes | The dynamics of galactic nuclei reflects the presence of supermassive black
holes (SBHs) in many ways. Single SBHs act as sinks, destroying a mass in stars
equal to their own mass in roughly one relaxation time and forcing nuclei to
expand. Formation of binary SBHs displaces a mass in stars roughly equal to the
binary mass, creating low-density cores and ejecting hyper-velocity stars.
Gravitational radiation recoil can eject coalescing binary SBHs from nuclei,
resulting in offset SBHs and lopsided cores. We review recent work on these
mechanisms and discuss the observable consequences.
| astro-ph | the dynamics of galactic nuclei reflects the presence of supermassive black holes sbhs in many ways single sbhs act as sinks destroying a mass in stars equal to their own mass in roughly one relaxation time and forcing nuclei to expand formation of binary sbhs displaces a mass in stars roughly equal to the binary mass creating lowdensity cores and ejecting hypervelocity stars gravitational radiation recoil can eject coalescing binary sbhs from nuclei resulting in offset sbhs and lopsided cores we review recent work on these mechanisms and discuss the observable consequences | [['the', 'dynamics', 'of', 'galactic', 'nuclei', 'reflects', 'the', 'presence', 'of', 'supermassive', 'black', 'holes', 'sbhs', 'in', 'many', 'ways', 'single', 'sbhs', 'act', 'as', 'sinks', 'destroying', 'a', 'mass', 'in', 'stars', 'equal', 'to', 'their', 'own', 'mass', 'in', 'roughly', 'one', 'relaxation', 'time', 'and', 'forcing', 'nuclei', 'to', 'expand', 'formation', 'of', 'binary', 'sbhs', 'displaces', 'a', 'mass', 'in', 'stars', 'roughly', 'equal', 'to', 'the', 'binary', 'mass', 'creating', 'lowdensity', 'cores', 'and', 'ejecting', 'hypervelocity', 'stars', 'gravitational', 'radiation', 'recoil', 'can', 'eject', 'coalescing', 'binary', 'sbhs', 'from', 'nuclei', 'resulting', 'in', 'offset', 'sbhs', 'and', 'lopsided', 'cores', 'we', 'review', 'recent', 'work', 'on', 'these', 'mechanisms', 'and', 'discuss', 'the', 'observable', 'consequences']] | [-0.12401078722399214, 0.23825919778977075, -0.028455583257195743, 0.14940603513209877, -0.07890132406685987, -0.04232183744644989, 0.09300578873017398, 0.3364309253495025, -0.17647612653166542, -0.35294957747480465, -0.03417690416782811, -0.320298373101927, 0.006936487782260646, 0.19171759025598673, -0.05181620379342981, -0.05798158759210745, 0.04771406516311285, -0.02861065657065331, -0.10071871942415347, -0.24168350498961366, 0.34224853567455127, 0.11849986687909973, 0.08176522473197269, -0.041310241567375866, 0.03619475247156199, -0.05919874445332781, -0.015775673455842163, -0.044595982094862215, -0.13481210690730697, 0.004004599669512928, 0.2332085700928355, 0.15606537879869828, 0.2212214169456907, -0.4313901129948056, -0.21730299302093362, 0.09071098142505987, 0.2319194072574053, 0.1400112625181108, -0.18685436582967194, -0.2190195908453619, 0.05711878879684145, -0.26764911329171254, -0.20866821390961338, 0.06795554063485368, 0.10347534459003288, 0.06301262876039128, -0.16484780826494502, 0.1452005586963977, 0.10680870605511186, -0.10671018131846643, -0.15100189573232733, -0.11622669086184191, -0.08309083786772807, 0.08851257169052311, 0.10807551766502792, 0.055831093325927526, 0.3031064655388827, -0.0860415745081137, -0.08206508991450233, 0.40652946217754937, 0.007086722223270361, -0.047517397785154375, 0.25657281524542236, -0.2471045704315538, -0.15405555500689408, 0.13554412932337626, 0.2681866335599056, 0.18655868929446393, -0.1277489462543441, -0.04260215055167108, 0.024355874983998743, 0.1934256572023277, 0.16861810052321982, 0.08242322422017384, 0.4878668132359567, 0.1373134820301936, -0.010139329972013871, 0.08211954277130248, -0.16236852229011003, -0.10921129502378829, -0.16253807348624358, -0.09864356168596398, -0.10522214234199213, 0.12695964260543088, -0.1285346840178017, -0.11876526257306662, 0.25900661524223245, 0.06847573914210839, 0.2328898801225359, 0.014258090153579478, 0.2877299881601689, 0.020457872695734968, 0.11428231547293051, 0.16715465811000246, 0.32504664645429054, 0.22265403087595073, 0.04083129049673596, -0.27129262915316404, 0.053691428125603124, 0.02330553812055808] |
708.3084 | Commensurate lock-in and incommensurate supersolid phases of hardcore
bosons on anisotropic triangular lattices | We investigate the interplay between commensurate lock-in and incommensurate
supersolid phases of the hardcore bosons at half-filling with anisotropic
nearest-neighbor hopping and repulsive interactions on triangular lattice. We
use numerical quantum and variational Monte Carlo as well as analytical
Schwinger boson mean-field analysis to establish the ground states and phase
diagram. It is shown that, for finite size systems, there exist a series of
jumps between different supersolid phases as the anisotropy parameter is
changed. The density ordering wavevectors are locked to commensurate values and
jump between adjacent supersolids. In the thermodynamic limit, however, the
magnitude of these jumps vanishes leading to a continuous set of novel
incommensurate supersoild phases.
| cond-mat.str-el cond-mat.mes-hall | we investigate the interplay between commensurate lockin and incommensurate supersolid phases of the hardcore bosons at halffilling with anisotropic nearestneighbor hopping and repulsive interactions on triangular lattice we use numerical quantum and variational monte carlo as well as analytical schwinger boson meanfield analysis to establish the ground states and phase diagram it is shown that for finite size systems there exist a series of jumps between different supersolid phases as the anisotropy parameter is changed the density ordering wavevectors are locked to commensurate values and jump between adjacent supersolids in the thermodynamic limit however the magnitude of these jumps vanishes leading to a continuous set of novel incommensurate supersoild phases | [['we', 'investigate', 'the', 'interplay', 'between', 'commensurate', 'lockin', 'and', 'incommensurate', 'supersolid', 'phases', 'of', 'the', 'hardcore', 'bosons', 'at', 'halffilling', 'with', 'anisotropic', 'nearestneighbor', 'hopping', 'and', 'repulsive', 'interactions', 'on', 'triangular', 'lattice', 'we', 'use', 'numerical', 'quantum', 'and', 'variational', 'monte', 'carlo', 'as', 'well', 'as', 'analytical', 'schwinger', 'boson', 'meanfield', 'analysis', 'to', 'establish', 'the', 'ground', 'states', 'and', 'phase', 'diagram', 'it', 'is', 'shown', 'that', 'for', 'finite', 'size', 'systems', 'there', 'exist', 'a', 'series', 'of', 'jumps', 'between', 'different', 'supersolid', 'phases', 'as', 'the', 'anisotropy', 'parameter', 'is', 'changed', 'the', 'density', 'ordering', 'wavevectors', 'are', 'locked', 'to', 'commensurate', 'values', 'and', 'jump', 'between', 'adjacent', 'supersolids', 'in', 'the', 'thermodynamic', 'limit', 'however', 'the', 'magnitude', 'of', 'these', 'jumps', 'vanishes', 'leading', 'to', 'a', 'continuous', 'set', 'of', 'novel', 'incommensurate', 'supersoild', 'phases']] | [-0.21360062825634493, 0.3000403411959836, -0.05695326209608722, 0.09449540408234189, -0.0441048603778312, -0.1569959617587268, 0.12210448816580989, 0.4001463645847019, -0.2814675563809658, -0.2195128547967574, 0.03102155130488986, -0.3316166503782119, -0.11903454655559238, 0.08079188244434399, 0.11851615182961414, 0.040853314237469386, -0.018813694622196734, -0.0417626279773652, -0.15668471951524668, -0.22124771771251883, 0.26525675526546705, -0.0728957753194872, 0.28534657727721907, 0.05559747641342222, 0.08840710296799693, 0.03197757947608965, 0.1289279374823726, -0.002710072767980602, -0.21611965965692417, -0.012796775735337971, 0.24832735034645698, -0.11835585702680598, 0.16157684864801006, -0.4135851250670919, -0.18414250167445578, 0.09403729344795056, 0.17485887323583074, 0.1489774565716539, -0.017486001020980947, -0.31988780756070867, -0.0011936992389756605, -0.2181285678691, -0.13230051273274995, -0.15301019976710165, 0.020537191976306088, 0.06309412367142088, -0.27404189966149084, 0.16037235561108917, 0.015604872411381828, 0.11272204981544354, -0.06138842525131522, -0.13366796259144578, -0.07848070498765233, 0.08188706586017795, 0.06008350379111399, 0.06786887554896123, 0.07275584479366694, -0.11380079475983362, -0.14948169131327524, 0.3628645863110593, -0.033457139404405145, -0.126890233444443, 0.24532346887975384, -0.17159270990355294, -0.09229375516414778, 0.17274330108674293, 0.10280672352068947, -0.0016402101081180805, -0.06205515340483243, 0.0726773289578044, 0.016500523573411374, 0.1862538022869224, 0.027408378826744788, 0.04546566736038535, 0.25128006745437415, 0.17872237582443232, 0.09520365531052198, 0.17817168949394052, -0.08424303838513245, -0.217313340634381, -0.2867824906705443, -0.11777223387109371, -0.26481440052637883, -0.009126347885894325, -0.12073816533599352, -0.23963713828007555, 0.3463004080476154, 0.18435937715502063, 0.19121568348502244, -0.029368919886460683, 0.22512450299883655, 0.13037351730779997, -0.007069460885308751, 0.012667883541050513, 0.22893368803101397, 0.1831007307147556, 0.07506045913152876, -0.2612346890056719, 0.0407793345199492, 0.10734595160732695] |
708.3085 | A nonlinear theory of non-stationary low Mach number channel flows of
freely cooling nearly elastic granular gases | We use hydrodynamics to investigate non-stationary channel flows of freely
cooling dilute granular gases. We focus on the regime where the sound travel
time through the channel is much shorter than the characteristic cooling time
of the gas. As a result, the gas pressure rapidly becomes almost homogeneous,
while the typical Mach number of the flow drops well below unity. Eliminating
the acoustic modes, we reduce the hydrodynamic equations to a single nonlinear
and nonlocal equation of a reaction-diffusion type in Lagrangian coordinates.
This equation describes a broad class of channel flows and, in particular, can
follow the development of the clustering instability from a weakly perturbed
homogeneous cooling state to strongly nonlinear states. If the heat diffusion
is neglected, the reduced equation is exactly soluble, and the solution
develops a finite-time density blowup. The heat diffusion, however, becomes
important near the attempted singularity. It arrests the density blowup and
brings about novel inhomogeneous cooling states (ICSs) of the gas, where the
pressure continues to decay with time, while the density profile becomes
time-independent. Both the density profile of an ICS, and the characteristic
relaxation time towards it are determined by a single dimensionless parameter
that describes the relative role of the inelastic energy loss and heat
diffusion. At large values of this parameter, the intermediate cooling dynamics
proceeds as a competition between low-density regions of the gas. This
competition resembles Ostwald ripening: only one hole survives at the end.
| cond-mat.soft nlin.PS physics.flu-dyn | we use hydrodynamics to investigate nonstationary channel flows of freely cooling dilute granular gases we focus on the regime where the sound travel time through the channel is much shorter than the characteristic cooling time of the gas as a result the gas pressure rapidly becomes almost homogeneous while the typical mach number of the flow drops well below unity eliminating the acoustic modes we reduce the hydrodynamic equations to a single nonlinear and nonlocal equation of a reactiondiffusion type in lagrangian coordinates this equation describes a broad class of channel flows and in particular can follow the development of the clustering instability from a weakly perturbed homogeneous cooling state to strongly nonlinear states if the heat diffusion is neglected the reduced equation is exactly soluble and the solution develops a finitetime density blowup the heat diffusion however becomes important near the attempted singularity it arrests the density blowup and brings about novel inhomogeneous cooling states icss of the gas where the pressure continues to decay with time while the density profile becomes timeindependent both the density profile of an ics and the characteristic relaxation time towards it are determined by a single dimensionless parameter that describes the relative role of the inelastic energy loss and heat diffusion at large values of this parameter the intermediate cooling dynamics proceeds as a competition between lowdensity regions of the gas this competition resembles ostwald ripening only one hole survives at the end | [['we', 'use', 'hydrodynamics', 'to', 'investigate', 'nonstationary', 'channel', 'flows', 'of', 'freely', 'cooling', 'dilute', 'granular', 'gases', 'we', 'focus', 'on', 'the', 'regime', 'where', 'the', 'sound', 'travel', 'time', 'through', 'the', 'channel', 'is', 'much', 'shorter', 'than', 'the', 'characteristic', 'cooling', 'time', 'of', 'the', 'gas', 'as', 'a', 'result', 'the', 'gas', 'pressure', 'rapidly', 'becomes', 'almost', 'homogeneous', 'while', 'the', 'typical', 'mach', 'number', 'of', 'the', 'flow', 'drops', 'well', 'below', 'unity', 'eliminating', 'the', 'acoustic', 'modes', 'we', 'reduce', 'the', 'hydrodynamic', 'equations', 'to', 'a', 'single', 'nonlinear', 'and', 'nonlocal', 'equation', 'of', 'a', 'reactiondiffusion', 'type', 'in', 'lagrangian', 'coordinates', 'this', 'equation', 'describes', 'a', 'broad', 'class', 'of', 'channel', 'flows', 'and', 'in', 'particular', 'can', 'follow', 'the', 'development', 'of', 'the', 'clustering', 'instability', 'from', 'a', 'weakly', 'perturbed', 'homogeneous', 'cooling', 'state', 'to', 'strongly', 'nonlinear', 'states', 'if', 'the', 'heat', 'diffusion', 'is', 'neglected', 'the', 'reduced', 'equation', 'is', 'exactly', 'soluble', 'and', 'the', 'solution', 'develops', 'a', 'finitetime', 'density', 'blowup', 'the', 'heat', 'diffusion', 'however', 'becomes', 'important', 'near', 'the', 'attempted', 'singularity', 'it', 'arrests', 'the', 'density', 'blowup', 'and', 'brings', 'about', 'novel', 'inhomogeneous', 'cooling', 'states', 'icss', 'of', 'the', 'gas', 'where', 'the', 'pressure', 'continues', 'to', 'decay', 'with', 'time', 'while', 'the', 'density', 'profile', 'becomes', 'timeindependent', 'both', 'the', 'density', 'profile', 'of', 'an', 'ics', 'and', 'the', 'characteristic', 'relaxation', 'time', 'towards', 'it', 'are', 'determined', 'by', 'a', 'single', 'dimensionless', 'parameter', 'that', 'describes', 'the', 'relative', 'role', 'of', 'the', 'inelastic', 'energy', 'loss', 'and', 'heat', 'diffusion', 'at', 'large', 'values', 'of', 'this', 'parameter', 'the', 'intermediate', 'cooling', 'dynamics', 'proceeds', 'as', 'a', 'competition', 'between', 'lowdensity', 'regions', 'of', 'the', 'gas', 'this', 'competition', 'resembles', 'ostwald', 'ripening', 'only', 'one', 'hole', 'survives', 'at', 'the', 'end']] | [-0.15629159016825725, 0.19424299713239937, -0.07675328625385494, 0.04260690754066066, -0.03683095750360129, -0.12637408626032992, 0.012227464070019779, 0.2825786676653176, -0.31133300254823554, -0.2403756603457926, 0.08628825844401339, -0.29075853116034217, -0.05209616625312871, 0.16604446124013825, 0.03001925422409689, 0.03585074950588023, 0.013790699555344569, 0.024982351869887984, -0.06425863857245227, -0.1951990111323539, 0.3343359338439768, 0.08495311844793225, 0.2852890755884194, 0.04492412080095771, 0.09077442531900791, -0.03460006679815706, 0.00866429642580139, 0.015022438822537272, -0.1797054256595402, 0.001420353002322372, 0.21135689684306272, 0.02739821027692718, 0.2822904126990276, -0.43748727888839006, -0.2857813367814136, 0.07844319717066052, 0.17538142275492039, 0.15419577057861414, -0.03655447840186146, -0.222825937269954, -0.0073746477311942725, -0.15009969491123532, -0.16574503226050485, -0.013292416676025216, 0.03269680565184293, 0.023175142893645292, -0.234667166431124, 0.18246317767770961, 0.08224229740799274, -0.002346401194881764, -0.08617062844956914, -0.04622478948779948, -0.03869750064817102, 0.0760964713874273, 0.0423425485768045, 0.014481961355583432, 0.18408596862767201, -0.18284419983489594, 0.020518582568426307, 0.3783337965336007, -0.10318733439714076, -0.15679600384549605, 0.22289280036129638, -0.16437634150497615, -0.04641401778984194, 0.2025761659295919, 0.1656268216300911, 0.12992282277167153, -0.11645175714511424, 0.03914259702190369, -0.014421872711197162, 0.16653786984970792, 0.06292192789066273, -0.023157459971359155, 0.1985964444737571, 0.21029477606595418, 0.07107566408813, 0.13898236716292256, -0.08910124162503053, -0.13850791024063558, -0.28724769468729694, -0.16736685791402123, -0.15219048882136121, 0.07865878384521542, -0.0818883138976768, -0.16495907995073747, 0.35746591749290624, 0.11548257880300904, 0.21170852614644295, 0.03571706905107324, 0.2992390482657356, 0.1781925803195918, 0.032380668822831166, 0.13467035827440366, 0.23142044713992316, 0.14492930325989922, 0.1494116505200509, -0.30997547378744156, 0.07421101463017597, 0.057225475221639496] |
708.3086 | Chemistry and cooling in metal-free and metal-poor gas | I summarize four of the most important areas of uncertainty in the study of
the chemistry and cooling of gas with zero or very low metallicity. These are:
i) the importance and effects of HD cooling in primordial gas; ii) the
importance of metal-line and dust cooling in low metallicity gas; iii) the
impact of the large uncertainties that exist in the rate coefficients of
several key reactions involved in the formation of H2; and iv) the
effectiveness of grain surface chemistry at high redshifts.
| astro-ph | i summarize four of the most important areas of uncertainty in the study of the chemistry and cooling of gas with zero or very low metallicity these are i the importance and effects of hd cooling in primordial gas ii the importance of metalline and dust cooling in low metallicity gas iii the impact of the large uncertainties that exist in the rate coefficients of several key reactions involved in the formation of h2 and iv the effectiveness of grain surface chemistry at high redshifts | [['i', 'summarize', 'four', 'of', 'the', 'most', 'important', 'areas', 'of', 'uncertainty', 'in', 'the', 'study', 'of', 'the', 'chemistry', 'and', 'cooling', 'of', 'gas', 'with', 'zero', 'or', 'very', 'low', 'metallicity', 'these', 'are', 'i', 'the', 'importance', 'and', 'effects', 'of', 'hd', 'cooling', 'in', 'primordial', 'gas', 'ii', 'the', 'importance', 'of', 'metalline', 'and', 'dust', 'cooling', 'in', 'low', 'metallicity', 'gas', 'iii', 'the', 'impact', 'of', 'the', 'large', 'uncertainties', 'that', 'exist', 'in', 'the', 'rate', 'coefficients', 'of', 'several', 'key', 'reactions', 'involved', 'in', 'the', 'formation', 'of', 'h2', 'and', 'iv', 'the', 'effectiveness', 'of', 'grain', 'surface', 'chemistry', 'at', 'high', 'redshifts']] | [-0.057191242361852135, 0.14549167099244453, 0.006737686488229562, 0.04068827556774897, 0.028810714705682854, -0.06777343465124859, 0.046444443624247524, 0.35151704742627987, -0.1991063127800932, -0.30616059318623123, 0.08707207201240474, -0.24272806356277535, -0.03030890071600237, 0.19018993999754244, -0.019575948246261653, 0.002361095802146284, 0.01124235426678377, -0.08549129243063576, -0.04568091945667915, -0.288283292730065, 0.3649833520326544, 0.11211476217517082, 0.20449421420035993, 0.10991945122642552, 0.03882830195567187, -0.14521091586417134, -0.08719884577919455, -0.033975645899772644, -0.1660239345699665, 0.0970192795728936, 0.25555261049200506, 0.12591360937803983, 0.2643623370458098, -0.4231002069571439, -0.2415511070915005, 0.05764774096691433, 0.1426229667302002, 0.0949916558997596, -0.10852834641495172, -0.14867880497785174, 0.0005323681761236752, -0.17259258800460137, -0.12440864918205669, 0.03764546143219751, 0.06118141974610112, 0.07743891585234772, -0.21639815023278489, 0.14964084939702468, 0.04527707337127889, 0.12047151287962847, -0.0821910280323423, -0.1735365485498572, -0.09280663545736495, 0.12334793758140329, 0.021350213389515, -0.019708583687486896, 0.2138025205801515, -0.20214150109711815, 0.022141136355040704, 0.46164016336860025, -0.11084701736621996, -0.052583743478445445, 0.26551190592786844, -0.2522795926587766, -0.18847544688512297, 0.17214921387186383, 0.18373633855405977, 0.09666247453869266, -0.10443876738495686, 0.035509908243822046, 0.07134830135413829, 0.12136910888914237, 0.023960341244716854, 0.0950454411069479, 0.27213212262619946, 0.14157952727640377, -0.01469916024190538, 0.04019017365268048, -0.20177325908752047, -0.07615951711640638, -0.2726853424683213, -0.198480167963049, -0.11834997276172918, 0.015189321897923946, -0.14614321073339157, -0.12218447607010603, 0.3191976039834759, 0.17411470153396402, 0.21970774218001787, -0.036474385024870146, 0.31929277476361567, 0.07198165344512637, 0.043129779743578504, 0.08054067633279106, 0.26361064962111413, 0.1796090723015368, 0.06658705142052734, -0.36088648910072685, 0.13423861831645756, -0.022512707242961314] |
708.3087 | The Tidal Evolution of Local Group Dwarf Spheroidals | (Abridged) We use N-body simulations to study the evolution of dwarf
spheroidal galaxies (dSphs) driven by galactic tides. We adopt a
cosmologically-motivated model where dSphs are approximated by a King model
embedded within an NFW halo. We find that these NFW-embedded King models are
extraordinarily resilient to tides; the stellar density profile still resembles
a King model even after losing more than 99% of the stars. As tides strip the
galaxy, the stellar luminosity, velocity dispersion, central surface
brightness, and core radius decrease monotonically. Remarkably, we find that
the evolution of these parameters is solely controlled by the total amount of
mass lost from within the luminous radius. Of all parameters, the core radius
is the least affected: after losing 99% of the stars, R_c decreases by just a
factor of ~2. Interestingly, tides tend to make dSphs more dark-matter
dominated because the tightly bound central dark matter ``cusp'' is more
resilient to disruption than the ``cored'' King profile. We examine whether the
extremely large M/L ratios of the newly-discovered ultra-faint dSphs might have
been caused by tidal stripping of once brighter systems. Although dSph tidal
evolutionary tracks parallel the observed scaling relations in the
luminosity-radius plane, they predict too steep a change in velocity dispersion
compared with the observational estimates hitherto reported in the literature.
The ultra-faint dwarfs are thus unlikely to be the tidal remnants of systems
like Fornax, Draco, or Sagittarius. Despite spanning four decades in
luminosity, dSphs appear to inhabit halos of comparable peak circular velocity,
lending support to scenarios that envision dwarf spheroidals as able to form
only in halos above a certain mass threshold.
| astro-ph | abridged we use nbody simulations to study the evolution of dwarf spheroidal galaxies dsphs driven by galactic tides we adopt a cosmologicallymotivated model where dsphs are approximated by a king model embedded within an nfw halo we find that these nfwembedded king models are extraordinarily resilient to tides the stellar density profile still resembles a king model even after losing more than 99 of the stars as tides strip the galaxy the stellar luminosity velocity dispersion central surface brightness and core radius decrease monotonically remarkably we find that the evolution of these parameters is solely controlled by the total amount of mass lost from within the luminous radius of all parameters the core radius is the least affected after losing 99 of the stars r_c decreases by just a factor of 2 interestingly tides tend to make dsphs more darkmatter dominated because the tightly bound central dark matter cusp is more resilient to disruption than the cored king profile we examine whether the extremely large ml ratios of the newlydiscovered ultrafaint dsphs might have been caused by tidal stripping of once brighter systems although dsph tidal evolutionary tracks parallel the observed scaling relations in the luminosityradius plane they predict too steep a change in velocity dispersion compared with the observational estimates hitherto reported in the literature the ultrafaint dwarfs are thus unlikely to be the tidal remnants of systems like fornax draco or sagittarius despite spanning four decades in luminosity dsphs appear to inhabit halos of comparable peak circular velocity lending support to scenarios that envision dwarf spheroidals as able to form only in halos above a certain mass threshold | [['abridged', 'we', 'use', 'nbody', 'simulations', 'to', 'study', 'the', 'evolution', 'of', 'dwarf', 'spheroidal', 'galaxies', 'dsphs', 'driven', 'by', 'galactic', 'tides', 'we', 'adopt', 'a', 'cosmologicallymotivated', 'model', 'where', 'dsphs', 'are', 'approximated', 'by', 'a', 'king', 'model', 'embedded', 'within', 'an', 'nfw', 'halo', 'we', 'find', 'that', 'these', 'nfwembedded', 'king', 'models', 'are', 'extraordinarily', 'resilient', 'to', 'tides', 'the', 'stellar', 'density', 'profile', 'still', 'resembles', 'a', 'king', 'model', 'even', 'after', 'losing', 'more', 'than', '99', 'of', 'the', 'stars', 'as', 'tides', 'strip', 'the', 'galaxy', 'the', 'stellar', 'luminosity', 'velocity', 'dispersion', 'central', 'surface', 'brightness', 'and', 'core', 'radius', 'decrease', 'monotonically', 'remarkably', 'we', 'find', 'that', 'the', 'evolution', 'of', 'these', 'parameters', 'is', 'solely', 'controlled', 'by', 'the', 'total', 'amount', 'of', 'mass', 'lost', 'from', 'within', 'the', 'luminous', 'radius', 'of', 'all', 'parameters', 'the', 'core', 'radius', 'is', 'the', 'least', 'affected', 'after', 'losing', '99', 'of', 'the', 'stars', 'r_c', 'decreases', 'by', 'just', 'a', 'factor', 'of', '2', 'interestingly', 'tides', 'tend', 'to', 'make', 'dsphs', 'more', 'darkmatter', 'dominated', 'because', 'the', 'tightly', 'bound', 'central', 'dark', 'matter', 'cusp', 'is', 'more', 'resilient', 'to', 'disruption', 'than', 'the', 'cored', 'king', 'profile', 'we', 'examine', 'whether', 'the', 'extremely', 'large', 'ml', 'ratios', 'of', 'the', 'newlydiscovered', 'ultrafaint', 'dsphs', 'might', 'have', 'been', 'caused', 'by', 'tidal', 'stripping', 'of', 'once', 'brighter', 'systems', 'although', 'dsph', 'tidal', 'evolutionary', 'tracks', 'parallel', 'the', 'observed', 'scaling', 'relations', 'in', 'the', 'luminosityradius', 'plane', 'they', 'predict', 'too', 'steep', 'a', 'change', 'in', 'velocity', 'dispersion', 'compared', 'with', 'the', 'observational', 'estimates', 'hitherto', 'reported', 'in', 'the', 'literature', 'the', 'ultrafaint', 'dwarfs', 'are', 'thus', 'unlikely', 'to', 'be', 'the', 'tidal', 'remnants', 'of', 'systems', 'like', 'fornax', 'draco', 'or', 'sagittarius', 'despite', 'spanning', 'four', 'decades', 'in', 'luminosity', 'dsphs', 'appear', 'to', 'inhabit', 'halos', 'of', 'comparable', 'peak', 'circular', 'velocity', 'lending', 'support', 'to', 'scenarios', 'that', 'envision', 'dwarf', 'spheroidals', 'as', 'able', 'to', 'form', 'only', 'in', 'halos', 'above', 'a', 'certain', 'mass', 'threshold']] | [-0.09091996529518685, 0.11336789187590278, -0.1177063345749859, 0.16807570722305518, -0.13151222582539496, -0.06935698435672985, 0.02562906194242846, 0.3738329719932106, -0.13619095390548083, -0.40341995349742443, 0.011488886575602328, -0.2842907619378685, -0.05753278556941112, 0.20266728846086168, -0.059262745928877904, -0.018137241958650904, 0.06703548979548198, -0.05309412351092774, -0.08794023553740413, -0.30914971337058206, 0.2907599332951421, 0.07070791008657183, 0.11572708995587826, -0.10050904823962226, -0.0073825640276725295, -0.08163428220393303, -0.04417011307095451, -0.003344662927201911, -0.16943428865466748, -0.012751812212901418, 0.21180508245617338, 0.10399502456330151, 0.24169455196095638, -0.40833192286825976, -0.21378955992889076, 0.09986200408064881, 0.25001658492489653, 0.04334669622556275, -0.0917858248116703, -0.27263800661013804, 0.08610685377772967, -0.25592883357165386, -0.23168278689068642, 0.060539452317534326, 0.09274724648043264, 0.0309697888016036, -0.15889496340149786, 0.22121422158010637, 0.052601988476676846, 0.034082474424174836, -0.09102408739315782, -0.1284243204595424, -0.09610821546222426, 0.007795379133150674, 0.04258926379014859, 0.04582762043857359, 0.27069493449469645, -0.16126266876010564, 0.03862073238883652, 0.43563246910138315, -0.0795016358508062, -0.015785259591090083, 0.21739294996388173, -0.18648677134408606, -0.1407745511194892, 0.08803392205730108, 0.16343162420550258, 0.05720596938899486, -0.1611530312603568, 0.014113995783874024, -0.026339558539150428, 0.21133832282777945, 0.07996351635568259, -0.007284629273738584, 0.36931315762402844, 0.10687475094007376, 0.0970775545466532, 0.01467440397561732, -0.17486094520340734, -0.08198711586004767, -0.1804229713438449, -0.04364002563213396, -0.12572618200942237, 0.04302066692833176, -0.12391794605355244, -0.12036534764052656, 0.3016703714898763, 0.10473798357684262, 0.247330271370612, 0.08421740621470303, 0.3100738788653705, 0.09494182446947301, 0.16092049619477228, 0.1702592847089813, 0.33142846399315784, 0.18563192873781192, 0.024522906081010085, -0.235910236015812, 0.1113642935961793, -0.04455757154961944] |
708.3088 | The Fourth Positive System of Carbon Monoxide in the Hubble Space
Telescope Spectra of Comets | The rich structure of the Fourth Positive System (A-X) of carbon monoxide
accounts for many of the spectral features seen in long slit HST-STIS
observations of comets 153P/Ikeya-Zhang, C/2001 Q4 (NEAT), and C/2000 WM1
(LINEAR), as well as in the HST-GHRS spectrum of comet C/1996 B2 Hyakutake. A
detailed CO fluorescence model is developed to derive the CO abundances in
these comets by simultaneously fitting all of the observed A-X bands. The model
includes the latest values for the oscillator strengths and state parameters,
and accounts for optical depth effects due to line overlap and self-absorption.
The model fits yield radial profiles of CO column density that are consistent
with a predominantly native source for all the comets observed by STIS. The
derived CO abundances relative to water in these comets span a wide range, from
0.44% for C/2000 WM1 (LINEAR), 7.2% for 153P/Ikeya-Zhang, 8.8% for C/2001 Q4
(NEAT) to 20.9% for C/1996 B2 (Hyakutake). The subtraction of the CO spectral
features using this model leads to the first identification of a molecular
hydrogen line pumped by solar HI Lyman-beta longward of 1200A in the spectrum
of comet 153P/Ikeya-Zhang. (Abridged)
| astro-ph | the rich structure of the fourth positive system ax of carbon monoxide accounts for many of the spectral features seen in long slit hststis observations of comets 153pikeyazhang c2001 q4 neat and c2000 wm1 linear as well as in the hstghrs spectrum of comet c1996 b2 hyakutake a detailed co fluorescence model is developed to derive the co abundances in these comets by simultaneously fitting all of the observed ax bands the model includes the latest values for the oscillator strengths and state parameters and accounts for optical depth effects due to line overlap and selfabsorption the model fits yield radial profiles of co column density that are consistent with a predominantly native source for all the comets observed by stis the derived co abundances relative to water in these comets span a wide range from 044 for c2000 wm1 linear 72 for 153pikeyazhang 88 for c2001 q4 neat to 209 for c1996 b2 hyakutake the subtraction of the co spectral features using this model leads to the first identification of a molecular hydrogen line pumped by solar hi lymanbeta longward of 1200a in the spectrum of comet 153pikeyazhang abridged | [['the', 'rich', 'structure', 'of', 'the', 'fourth', 'positive', 'system', 'ax', 'of', 'carbon', 'monoxide', 'accounts', 'for', 'many', 'of', 'the', 'spectral', 'features', 'seen', 'in', 'long', 'slit', 'hststis', 'observations', 'of', 'comets', '153pikeyazhang', 'c2001', 'q4', 'neat', 'and', 'c2000', 'wm1', 'linear', 'as', 'well', 'as', 'in', 'the', 'hstghrs', 'spectrum', 'of', 'comet', 'c1996', 'b2', 'hyakutake', 'a', 'detailed', 'co', 'fluorescence', 'model', 'is', 'developed', 'to', 'derive', 'the', 'co', 'abundances', 'in', 'these', 'comets', 'by', 'simultaneously', 'fitting', 'all', 'of', 'the', 'observed', 'ax', 'bands', 'the', 'model', 'includes', 'the', 'latest', 'values', 'for', 'the', 'oscillator', 'strengths', 'and', 'state', 'parameters', 'and', 'accounts', 'for', 'optical', 'depth', 'effects', 'due', 'to', 'line', 'overlap', 'and', 'selfabsorption', 'the', 'model', 'fits', 'yield', 'radial', 'profiles', 'of', 'co', 'column', 'density', 'that', 'are', 'consistent', 'with', 'a', 'predominantly', 'native', 'source', 'for', 'all', 'the', 'comets', 'observed', 'by', 'stis', 'the', 'derived', 'co', 'abundances', 'relative', 'to', 'water', 'in', 'these', 'comets', 'span', 'a', 'wide', 'range', 'from', '044', 'for', 'c2000', 'wm1', 'linear', '72', 'for', '153pikeyazhang', '88', 'for', 'c2001', 'q4', 'neat', 'to', '209', 'for', 'c1996', 'b2', 'hyakutake', 'the', 'subtraction', 'of', 'the', 'co', 'spectral', 'features', 'using', 'this', 'model', 'leads', 'to', 'the', 'first', 'identification', 'of', 'a', 'molecular', 'hydrogen', 'line', 'pumped', 'by', 'solar', 'hi', 'lymanbeta', 'longward', 'of', '1200a', 'in', 'the', 'spectrum', 'of', 'comet', '153pikeyazhang', 'abridged']] | [-0.026196750151929717, 0.06212162948644685, 0.010802661657589611, 0.03587669442856201, 0.011476636115244772, -0.11911854912186899, 0.04799267368097962, 0.4109989177218821, -0.19105324790093595, -0.3064748953495707, 0.053243849448066344, -0.29155861666883715, -0.03674898485938905, 0.1458192569605277, -0.007377071022462573, 0.026351032988738057, 0.02760301706893616, -0.10068296354199961, -0.034083215583845104, -0.15938229329893908, 0.21674508140693424, 0.07393746432311163, 0.13503967212370188, -0.0008432248757570666, 0.05055636741595451, -0.07335630532171794, -0.041534965689092006, -0.06674299331470615, -0.15132940148525267, 0.10100866284063727, 0.23722801888583317, 0.10205834665922103, 0.11943762837884524, -0.33227562973098385, -0.23014397882651932, 0.030072754101147726, 0.1267198213331756, 0.06678955790170385, 0.007997505995075382, -0.2697899106387345, 0.0032559030506976697, -0.17970419935783538, -0.17949527060790432, 0.0010582908264868869, 0.08911313936508522, 0.05957452190926584, -0.2588736970737089, 0.09399842571962388, 0.03293739956214306, 0.14179377801372625, -0.1704201392925507, -0.20633931663663438, -0.12157267480029198, 0.0808452510339006, -0.006782169462423082, 0.005883464871667986, 0.13259447897690788, -0.07728628063618782, -0.0004645500260666407, 0.43176089098095577, -0.18271951943946382, 0.005813165424913957, 0.1757040098414229, -0.19642167782815045, -0.20828853687517856, 0.24834690348949856, 0.09588249013377305, 0.08649165913827284, -0.14550653334599845, 0.052405239749335183, -0.07096318451985816, 0.2370405135646699, 0.06351055546106879, 0.06045712713674499, 0.23408497379668963, 0.07616103816994284, -0.004942810918369562, 0.1034477420696969, -0.2470141431912977, -0.036394795202737903, -0.21100662662598388, -0.13621005952905213, -0.12422893039522466, 0.0514899905248688, -0.09681058167720154, -0.11615034963821046, 0.3597979516815887, 0.06988185269649698, 0.2523155092266659, 0.029756221739161346, 0.2814357677602736, 0.06833394545268405, 0.07757385486056881, 0.04710277465847198, 0.2822922028123189, 0.1505836500729577, 0.1377507976845163, -0.23114764648206315, 0.09588844179318695, 0.044070775444476455] |
708.3089 | Keck Hires Spectroscopy of Candidate Post T Tauri Stars | We use high-signal-to-noise ($\sim$150-450), high resolution
($R{\sim}45,000$) Keck HIRES spectroscopy of 13 candidate post T Tauri stars to
derive basic physical parameters, lithium abundances and radial velocities. We
place our stars in the M$_v$-T$_{eff}$ plane for use in determining approximate
ages from pre-main sequence isochrones, and confirm these using three relative
age indicators in our analysis: Li abundances, chromospheric emission and the
kinematic {\it U-V} plane. Using the three age criteria we identify 5 stars
(HIP 54529, HIP 62758, HIP 63322, HIP 74045, and HIP 104864) as probable post T
Tauri stars with ages between 10 and 100 Myr. We confirm HIP 54529 as an SB2
and HIP 63322 as an SB1 star. We also examine irregular photometric variability
of PTTs using the {\it HIPPARCOS} photometry annex. Two of our PTT stars
exhibit near-IR excesses compared to Kurucz model flux; while recent work
suggests classical T Tauri stars evince similar {\it JHK} excesses presumably
indicative of non-photospheric (disk) emission, our results may be illusory
artifacts of the chosen {\it I}-band normalization. Near-IR excesses we see in
a literature-based sample of PTTs appear to be artifacts of previous spectral
type-based $T_{\rm eff}$ values. Indeed, comparison of the homology of their
observed and model photospheric SED's suggests that photometric temperatures
are more reliable than temperatures based on spectral standards for the cooler
temperature ranges of the stars in this sample. We conclude that our age
oriented analysis is a robust means to select samples of nearby, young,
isolated post T Tauri stars that otherwise masquerade as normal field stars.
| astro-ph | we use highsignaltonoise sim150450 high resolution rsim45000 keck hires spectroscopy of 13 candidate post t tauri stars to derive basic physical parameters lithium abundances and radial velocities we place our stars in the m_vt_eff plane for use in determining approximate ages from premain sequence isochrones and confirm these using three relative age indicators in our analysis li abundances chromospheric emission and the kinematic it uv plane using the three age criteria we identify 5 stars hip 54529 hip 62758 hip 63322 hip 74045 and hip 104864 as probable post t tauri stars with ages between 10 and 100 myr we confirm hip 54529 as an sb2 and hip 63322 as an sb1 star we also examine irregular photometric variability of ptts using the it hipparcos photometry annex two of our ptt stars exhibit nearir excesses compared to kurucz model flux while recent work suggests classical t tauri stars evince similar it jhk excesses presumably indicative of nonphotospheric disk emission our results may be illusory artifacts of the chosen it iband normalization nearir excesses we see in a literaturebased sample of ptts appear to be artifacts of previous spectral typebased t_rm eff values indeed comparison of the homology of their observed and model photospheric seds suggests that photometric temperatures are more reliable than temperatures based on spectral standards for the cooler temperature ranges of the stars in this sample we conclude that our age oriented analysis is a robust means to select samples of nearby young isolated post t tauri stars that otherwise masquerade as normal field stars | [['we', 'use', 'highsignaltonoise', 'sim150450', 'high', 'resolution', 'rsim45000', 'keck', 'hires', 'spectroscopy', 'of', '13', 'candidate', 'post', 't', 'tauri', 'stars', 'to', 'derive', 'basic', 'physical', 'parameters', 'lithium', 'abundances', 'and', 'radial', 'velocities', 'we', 'place', 'our', 'stars', 'in', 'the', 'm_vt_eff', 'plane', 'for', 'use', 'in', 'determining', 'approximate', 'ages', 'from', 'premain', 'sequence', 'isochrones', 'and', 'confirm', 'these', 'using', 'three', 'relative', 'age', 'indicators', 'in', 'our', 'analysis', 'li', 'abundances', 'chromospheric', 'emission', 'and', 'the', 'kinematic', 'it', 'uv', 'plane', 'using', 'the', 'three', 'age', 'criteria', 'we', 'identify', '5', 'stars', 'hip', '54529', 'hip', '62758', 'hip', '63322', 'hip', '74045', 'and', 'hip', '104864', 'as', 'probable', 'post', 't', 'tauri', 'stars', 'with', 'ages', 'between', '10', 'and', '100', 'myr', 'we', 'confirm', 'hip', '54529', 'as', 'an', 'sb2', 'and', 'hip', '63322', 'as', 'an', 'sb1', 'star', 'we', 'also', 'examine', 'irregular', 'photometric', 'variability', 'of', 'ptts', 'using', 'the', 'it', 'hipparcos', 'photometry', 'annex', 'two', 'of', 'our', 'ptt', 'stars', 'exhibit', 'nearir', 'excesses', 'compared', 'to', 'kurucz', 'model', 'flux', 'while', 'recent', 'work', 'suggests', 'classical', 't', 'tauri', 'stars', 'evince', 'similar', 'it', 'jhk', 'excesses', 'presumably', 'indicative', 'of', 'nonphotospheric', 'disk', 'emission', 'our', 'results', 'may', 'be', 'illusory', 'artifacts', 'of', 'the', 'chosen', 'it', 'iband', 'normalization', 'nearir', 'excesses', 'we', 'see', 'in', 'a', 'literaturebased', 'sample', 'of', 'ptts', 'appear', 'to', 'be', 'artifacts', 'of', 'previous', 'spectral', 'typebased', 't_rm', 'eff', 'values', 'indeed', 'comparison', 'of', 'the', 'homology', 'of', 'their', 'observed', 'and', 'model', 'photospheric', 'seds', 'suggests', 'that', 'photometric', 'temperatures', 'are', 'more', 'reliable', 'than', 'temperatures', 'based', 'on', 'spectral', 'standards', 'for', 'the', 'cooler', 'temperature', 'ranges', 'of', 'the', 'stars', 'in', 'this', 'sample', 'we', 'conclude', 'that', 'our', 'age', 'oriented', 'analysis', 'is', 'a', 'robust', 'means', 'to', 'select', 'samples', 'of', 'nearby', 'young', 'isolated', 'post', 't', 'tauri', 'stars', 'that', 'otherwise', 'masquerade', 'as', 'normal', 'field', 'stars']] | [0.0012429078770113302, 0.13054076512921545, -0.09769383815648826, 0.09124871891233241, -0.13110384448932913, -0.10992845615017631, 0.12570454322955446, 0.47093190946559677, -0.1431519068751462, -0.38136815643201954, 0.02402277818507692, -0.3122124131693531, -0.01051486410419287, 0.20773150337914661, -0.15393343835933368, -0.023258292887240614, 0.14894222713185806, -0.07232744564153329, -0.02703864069425535, -0.27294960601805796, 0.2527167978055534, 0.009860718028944152, 0.09979325613962073, -0.10292905549929281, -0.01236337168813355, -0.13379419111408225, -0.10165082909325175, -0.041325271795107886, -0.18628099909273654, -0.01573365175086055, 0.2525567595539652, 0.13389466200702585, 0.16387715175755413, -0.2709848534026318, -0.19605486163763924, 0.030205756444710227, 0.20391760875663234, -0.011917141958531973, -0.05576072629383975, -0.23413047409024437, 0.10718619411194749, -0.15285418466862805, -0.16702926310480606, 0.007252242086221453, 0.06553279723348059, 0.019570678142361297, -0.24812892036746267, 0.12785071729993927, 0.024991689544122314, 0.23550325701850267, -0.18053473647955337, -0.18395269620288843, -0.08344658865095662, 0.10080787285536467, -0.001737011049832651, 0.07615309587570458, 0.1359303519133288, -0.0850658494180732, -0.040008029892950166, 0.3721599986414738, -0.12662114072215191, 0.03370208244559615, 0.25147398496857326, -0.15732599892144503, -0.19033443698327732, 0.08007415975462871, 0.08306811520875043, 0.22051500309888378, -0.20741627901898102, -0.05779425840733407, 0.015165590731566583, 0.20388106716163307, 0.08695798253014624, 0.08049584716664031, 0.31441636155793057, 0.1078178949469346, -0.03517699185080132, 0.05843630481062661, -0.299951798873124, -0.026573897601455933, -0.21593825037493125, -0.13687260436489876, -0.08149438032405337, 0.07469277803975569, -0.17613668298318855, -0.14197123074067025, 0.30845882402551983, 0.1925939684731981, 0.21843220229705546, 0.04926970713443843, 0.2980143688091262, 0.05635110819325801, 0.13491465246408502, 0.1558598820195507, 0.2979950301334081, 0.21254165204211709, 0.1226936762140091, -0.25535017651668845, 0.07742763258283958, 0.011230996472908086] |
708.309 | Role of disorder in the size-scaling of material strength | We study the sample size dependence of the strength of disordered materials
with a flaw, by numerical simulations of lattice models for fracture. We find a
crossover between a regime controlled by the fluctuations due to disorder and
another controlled by stress-concentrations, ruled by continuum fracture
mechanics. The results are formulated in terms of a scaling law involving a
statistical fracture process zone. Its existence and scaling properties are
only revealed by sampling over many configurations of the disorder. The scaling
law is in good agreement with experimental results obtained from notched paper
samples.
| cond-mat.mtrl-sci | we study the sample size dependence of the strength of disordered materials with a flaw by numerical simulations of lattice models for fracture we find a crossover between a regime controlled by the fluctuations due to disorder and another controlled by stressconcentrations ruled by continuum fracture mechanics the results are formulated in terms of a scaling law involving a statistical fracture process zone its existence and scaling properties are only revealed by sampling over many configurations of the disorder the scaling law is in good agreement with experimental results obtained from notched paper samples | [['we', 'study', 'the', 'sample', 'size', 'dependence', 'of', 'the', 'strength', 'of', 'disordered', 'materials', 'with', 'a', 'flaw', 'by', 'numerical', 'simulations', 'of', 'lattice', 'models', 'for', 'fracture', 'we', 'find', 'a', 'crossover', 'between', 'a', 'regime', 'controlled', 'by', 'the', 'fluctuations', 'due', 'to', 'disorder', 'and', 'another', 'controlled', 'by', 'stressconcentrations', 'ruled', 'by', 'continuum', 'fracture', 'mechanics', 'the', 'results', 'are', 'formulated', 'in', 'terms', 'of', 'a', 'scaling', 'law', 'involving', 'a', 'statistical', 'fracture', 'process', 'zone', 'its', 'existence', 'and', 'scaling', 'properties', 'are', 'only', 'revealed', 'by', 'sampling', 'over', 'many', 'configurations', 'of', 'the', 'disorder', 'the', 'scaling', 'law', 'is', 'in', 'good', 'agreement', 'with', 'experimental', 'results', 'obtained', 'from', 'notched', 'paper', 'samples']] | [-0.10818035990220085, 0.15802485079714848, -0.09851711218105129, 0.008142267738852146, 0.018647549253317616, -0.11924009342547706, 0.10390067754578726, 0.35384232058159765, -0.2536809896669721, -0.29818864663441974, 0.07488606861912675, -0.30147114824703947, -0.16574711923397356, 0.20640808711409248, -0.004518507969796017, 0.09248374941726266, 0.053467789724949866, -0.08165823822460508, -0.05056439293423287, -0.17681336676844606, 0.3039613086605064, 0.06495438139104555, 0.3247075107234019, 0.054299640459238845, 0.045197443646048344, -0.0141558827461815, 0.00036958785807733894, 0.11247226904316615, -0.18312611614143656, 0.0754874755718535, 0.21024457335032262, -0.033756816669577555, 0.2567140306596474, -0.4016982620497959, -0.25696476736176077, 0.056052182165164784, 0.12677121492883853, 0.09742821997372053, -0.04018098053832849, -0.2734890912073634, 0.07111631486044136, -0.12170618465821188, -0.15871572951030147, -0.06850074457946004, 0.009896436435801367, 0.05531820335165067, -0.26521944046591317, 0.13403850388262542, 0.05281930682700007, 0.1295276194790839, -0.05317754605509621, -0.0571386597810253, -0.019065256801343734, 0.09485059059400272, 0.08001156879046942, -0.016769068152894095, 0.1586061043236705, -0.15969502817218503, -0.10865896088146274, 0.40749014140937917, -0.0032886127710983317, -0.16531058088425668, 0.1827951821909156, -0.16340245836807454, -0.0877686197749309, 0.15623118407443487, 0.12735354954436903, 0.051610408777212076, -0.14575561439438212, 0.06583902612704062, -0.03865244687955466, 0.16896254717502543, 0.02293208830298916, -0.01816659721726444, 0.19230315998517056, 0.2017147730915777, -0.027891079284956738, 0.17624423930281272, -0.06149520900260697, -0.1350595043879503, -0.3275376885969152, -0.08488800750184124, -0.25322345576138905, 0.049956697712762545, -0.1380912884666149, -0.15411941971008977, 0.3568210721777011, 0.13639182269433012, 0.21729178594485407, 0.09238502427795402, 0.18156360322108833, 0.11168281042007028, 0.04672389102458794, 0.02520848856988533, 0.26252831999332676, 0.16531972914824003, 0.08574368267305076, -0.2343826699045597, 0.09899862337937598, 0.02893330742134362] |
708.3091 | Spin orbit interaction and zitterbewegung in symmetric wells | Recently, we have introduced a novel inter-subband-induced spin-orbit (s-o)
coupling [Phys. Rev. Lett. 99, 076603 (2007); cond-mat/0607218] arising in
\textit{symmetric} wells with at least two subbands. This new s-o coupling
gives rise to an usual zitterbewegung -- i.e. the semiconductor analog to the
relativistic trembling motion of electrons -- with cycloidal motion without
magnetic fields. Here we complement these findings by explicitly deriving
expressions for the corresponding zitterbewegung in spin space.
| cond-mat.mes-hall | recently we have introduced a novel intersubbandinduced spinorbit so coupling phys rev lett 99 076603 2007 condmat0607218 arising in textitsymmetric wells with at least two subbands this new so coupling gives rise to an usual zitterbewegung ie the semiconductor analog to the relativistic trembling motion of electrons with cycloidal motion without magnetic fields here we complement these findings by explicitly deriving expressions for the corresponding zitterbewegung in spin space | [['recently', 'we', 'have', 'introduced', 'a', 'novel', 'intersubbandinduced', 'spinorbit', 'so', 'coupling', 'phys', 'rev', 'lett', '99', '076603', '2007', 'condmat0607218', 'arising', 'in', 'textitsymmetric', 'wells', 'with', 'at', 'least', 'two', 'subbands', 'this', 'new', 'so', 'coupling', 'gives', 'rise', 'to', 'an', 'usual', 'zitterbewegung', 'ie', 'the', 'semiconductor', 'analog', 'to', 'the', 'relativistic', 'trembling', 'motion', 'of', 'electrons', 'with', 'cycloidal', 'motion', 'without', 'magnetic', 'fields', 'here', 'we', 'complement', 'these', 'findings', 'by', 'explicitly', 'deriving', 'expressions', 'for', 'the', 'corresponding', 'zitterbewegung', 'in', 'spin', 'space']] | [-0.1524476913310697, 0.18541888752973618, -0.0042517192675458155, -0.03654544205603409, -0.12722272314268218, -0.1398034567383173, 0.035380483769318634, 0.3611391477444319, -0.19214877779321635, -0.33778348934891467, -0.09477537783095613, -0.25485617787960696, -0.1696170070208609, 0.20087628940724672, -0.07936668881345266, -0.025746780310702676, 0.001566278960501008, -0.058800027760512685, -0.06868178471375037, -0.20091513821321047, 0.21077062140273697, 0.04521281664561042, 0.26102638172040526, 0.043309394018519125, 0.10870975537417348, 0.05824249776196666, 0.099706563509672, -0.009166305974170374, -0.18664836993112283, 0.03984993432395106, 0.16720465430989861, -0.07806284615413889, 0.24284380911012704, -0.4568024068961249, -0.18241486896979897, 0.022747027578161043, 0.12126022006508291, 0.21427570669295484, -0.04396081978783888, -0.40289270749096484, -0.023477319720447722, -0.21319595801041408, -0.12437006449052955, -0.12843620358034968, 0.08113681214779396, -0.04500406307959244, -0.2683917238678345, 0.1324472527827739, 0.09075092596364864, 0.031745111241060144, -0.05875110799474094, -0.08650155118940507, -0.012858462971909082, 0.017104963806238684, 0.039669871973969484, 0.07442053863504793, 0.042794474188293165, -0.03044716872425531, -0.22822595369978124, 0.36058982127510447, -0.06482490641064942, -0.20448883994728984, 0.19888877341359415, -0.19068337889963433, -0.0894687747623881, 0.1604670893318732, 0.14249945694909377, 0.07395539865555133, -0.191094426506692, 0.12422484262189006, -0.04449288003310999, 0.06243741682812791, 0.11991088877103347, 0.10184855083934963, 0.24101226274198032, 0.077572759706527, -0.004173202916075859, 0.09649079522419282, -0.13640782524581643, -0.09632639018544818, -0.2728478995131274, -0.17050659275692476, -0.20877090566243758, 0.11283909886911073, 0.040838430909549486, -0.141949278768152, 0.4179976303472786, 0.180349850013633, 0.18413411294493606, -0.04405977295006297, 0.21831335003063193, 0.1586124290136949, 0.019465612398241374, 0.12394899525679648, 0.3066690899705624, 0.2008346569731229, 0.09724570991580977, -0.24566699462764732, -0.053037528530694544, 0.05779063824208125] |
708.3092 | The Molonglo Galactic Plane Survey (MGPS-2): Compact Source Catalogue | We present the first data release from the second epoch Molonglo Galactic
Plane Survey (MGPS-2). MGPS-2 was carried out with the Molonglo Observatory
Synthesis Telescope at a frequency of 843 MHz and with a restoring beam of 45
arcsec x 45 arcsec cosec(dec), making it the highest resolution large scale
radio survey of the southern Galactic plane. It covers the range |b| < 10 deg
and 245 deg < l < 365 deg and is the Galactic counterpart to the Sydney
University Molonglo Sky Survey (SUMSS) which covers the whole southern sky with
dec <= -30 deg (|b| > 10 deg).
In this paper we present the MGPS-2 compact source catalogue. The catalogue
has 48,850 sources above a limiting peak brightness of 10 mJy/beam. Positions
in the catalogue are accurate to 1 arcsec - 2 arcsec. A full catalogue
including extended sources is in preparation. We have carried out an analysis
of the compact source density across the Galactic plane and find that the
source density is not statistically higher than the density expected from the
extragalactic source density alone.
We also present version 2.0 of the SUMSS image data and catalogue which are
now available online. The data consists of 629 4.3 deg x 4.3 deg mosaic images
covering the 8100 deg^2 of sky with dec <= -30 deg and |b| > 10 deg. The
catalogue contains 210,412 radio sources to a limiting peak brightness of 6
mJy/beam at dec <= -50 deg and 10 mJy/beam at dec > -50 deg. We describe the
updates and improvements made to the SUMSS cataloguing process.
| astro-ph | we present the first data release from the second epoch molonglo galactic plane survey mgps2 mgps2 was carried out with the molonglo observatory synthesis telescope at a frequency of 843 mhz and with a restoring beam of 45 arcsec x 45 arcsec cosecdec making it the highest resolution large scale radio survey of the southern galactic plane it covers the range b 10 deg and 245 deg l 365 deg and is the galactic counterpart to the sydney university molonglo sky survey sumss which covers the whole southern sky with dec 30 deg b 10 deg in this paper we present the mgps2 compact source catalogue the catalogue has 48850 sources above a limiting peak brightness of 10 mjybeam positions in the catalogue are accurate to 1 arcsec 2 arcsec a full catalogue including extended sources is in preparation we have carried out an analysis of the compact source density across the galactic plane and find that the source density is not statistically higher than the density expected from the extragalactic source density alone we also present version 20 of the sumss image data and catalogue which are now available online the data consists of 629 43 deg x 43 deg mosaic images covering the 8100 deg2 of sky with dec 30 deg and b 10 deg the catalogue contains 210412 radio sources to a limiting peak brightness of 6 mjybeam at dec 50 deg and 10 mjybeam at dec 50 deg we describe the updates and improvements made to the sumss cataloguing process | [['we', 'present', 'the', 'first', 'data', 'release', 'from', 'the', 'second', 'epoch', 'molonglo', 'galactic', 'plane', 'survey', 'mgps2', 'mgps2', 'was', 'carried', 'out', 'with', 'the', 'molonglo', 'observatory', 'synthesis', 'telescope', 'at', 'a', 'frequency', 'of', '843', 'mhz', 'and', 'with', 'a', 'restoring', 'beam', 'of', '45', 'arcsec', 'x', '45', 'arcsec', 'cosecdec', 'making', 'it', 'the', 'highest', 'resolution', 'large', 'scale', 'radio', 'survey', 'of', 'the', 'southern', 'galactic', 'plane', 'it', 'covers', 'the', 'range', 'b', '10', 'deg', 'and', '245', 'deg', 'l', '365', 'deg', 'and', 'is', 'the', 'galactic', 'counterpart', 'to', 'the', 'sydney', 'university', 'molonglo', 'sky', 'survey', 'sumss', 'which', 'covers', 'the', 'whole', 'southern', 'sky', 'with', 'dec', '30', 'deg', 'b', '10', 'deg', 'in', 'this', 'paper', 'we', 'present', 'the', 'mgps2', 'compact', 'source', 'catalogue', 'the', 'catalogue', 'has', '48850', 'sources', 'above', 'a', 'limiting', 'peak', 'brightness', 'of', '10', 'mjybeam', 'positions', 'in', 'the', 'catalogue', 'are', 'accurate', 'to', '1', 'arcsec', '2', 'arcsec', 'a', 'full', 'catalogue', 'including', 'extended', 'sources', 'is', 'in', 'preparation', 'we', 'have', 'carried', 'out', 'an', 'analysis', 'of', 'the', 'compact', 'source', 'density', 'across', 'the', 'galactic', 'plane', 'and', 'find', 'that', 'the', 'source', 'density', 'is', 'not', 'statistically', 'higher', 'than', 'the', 'density', 'expected', 'from', 'the', 'extragalactic', 'source', 'density', 'alone', 'we', 'also', 'present', 'version', '20', 'of', 'the', 'sumss', 'image', 'data', 'and', 'catalogue', 'which', 'are', 'now', 'available', 'online', 'the', 'data', 'consists', 'of', '629', '43', 'deg', 'x', '43', 'deg', 'mosaic', 'images', 'covering', 'the', '8100', 'deg2', 'of', 'sky', 'with', 'dec', '30', 'deg', 'and', 'b', '10', 'deg', 'the', 'catalogue', 'contains', '210412', 'radio', 'sources', 'to', 'a', 'limiting', 'peak', 'brightness', 'of', '6', 'mjybeam', 'at', 'dec', '50', 'deg', 'and', '10', 'mjybeam', 'at', 'dec', '50', 'deg', 'we', 'describe', 'the', 'updates', 'and', 'improvements', 'made', 'to', 'the', 'sumss', 'cataloguing', 'process']] | [-0.08301262069489822, 0.037328140745952865, -0.009270708968786828, 0.02544053972528908, -0.12163192301291037, -0.018145969213613593, 0.0974022604286693, 0.4351562728021902, -0.16669447161628312, -0.421083570276183, 0.1328354829062422, -0.367917930058007, 0.04568131794537087, 0.20615141502715112, -0.012350722190096558, -0.08586702932533159, 0.05205557438585744, -0.11151418182906135, -0.02912451444375533, -0.25087660233549536, 0.1610577850921666, 0.1554686738905382, 0.22818152826145827, -0.06804408039665777, 0.17219542248491793, -0.0643122605552741, -0.14702543210371793, -0.06957512701568434, -0.15301512764684835, 0.021760067830151653, 0.2924261053957312, 0.1487773742463692, 0.18960707164944643, -0.24268887607952158, -0.09905368882459607, 0.035253014387674184, 0.12712356214693551, 0.004575547622145707, 0.01700129283525317, -0.3246468000032334, 0.10562472242631939, -0.17423969894959276, -0.2007023098106789, 0.12903686936395578, 0.06512648954967118, 0.034999454996930766, -0.16270889211594464, 0.11239047927039386, -0.002334861144186016, 0.22176692571743314, -0.10008174719277814, -0.20740545132527669, -0.03168033042865104, 0.07091335422615427, -0.08174040404056103, 0.23530893600351024, 0.14484860456596868, -0.10471586479684357, -0.005757241992676905, 0.3790860837733603, -0.026120120755304486, 0.016437564390262522, 0.09154154073569434, -0.2676347148126043, -0.19557856592494416, 0.25054698577104323, 0.16465967430907535, 0.08791506553228307, -0.19562291373374438, 0.05990848409112142, -0.019255106643944295, 0.2896231610246329, 0.11105477291834634, 0.00012096696796704573, 0.27513787712330423, 0.06706860240138844, 0.11633577742576748, 0.14507749953503865, -0.43437333453624727, -0.01995026260109774, -0.3045359089130172, -0.019998142716465092, -0.07991038550542987, 0.1083797000389035, -0.11822895033320271, -0.05024688271736073, 0.39350899236195114, 0.11727226392154497, 0.14343050635323315, 0.05775060784802179, 0.2833822173942103, -0.03188124712207818, 0.09423148475074399, 0.14178250126162195, 0.2859206483365441, 0.142619167688299, 0.15944096538056415, -0.057900847604732956, -0.06869934986074608, -0.08177763666675622] |
708.3093 | Role of CuO chains in vortex core structure in YBa2Cu3O{7-delta} | The Bogoliubov-deGennes equations are solved for a proximity model for
YBa_2Cu_3O_{7-\delta} in a magnetic field. The model explicitly includes the
effects of the one-dimensional CuO chains, whose influence on the vortex core
structure is studied. The rapid vortex core contraction as a function of field
which is seen experimentally at low magnetic fields is naturally explained by
the presence of the chains.
| cond-mat.supr-con cond-mat.str-el | the bogoliubovdegennes equations are solved for a proximity model for yba_2cu_3o_7delta in a magnetic field the model explicitly includes the effects of the onedimensional cuo chains whose influence on the vortex core structure is studied the rapid vortex core contraction as a function of field which is seen experimentally at low magnetic fields is naturally explained by the presence of the chains | [['the', 'bogoliubovdegennes', 'equations', 'are', 'solved', 'for', 'a', 'proximity', 'model', 'for', 'yba_2cu_3o_7delta', 'in', 'a', 'magnetic', 'field', 'the', 'model', 'explicitly', 'includes', 'the', 'effects', 'of', 'the', 'onedimensional', 'cuo', 'chains', 'whose', 'influence', 'on', 'the', 'vortex', 'core', 'structure', 'is', 'studied', 'the', 'rapid', 'vortex', 'core', 'contraction', 'as', 'a', 'function', 'of', 'field', 'which', 'is', 'seen', 'experimentally', 'at', 'low', 'magnetic', 'fields', 'is', 'naturally', 'explained', 'by', 'the', 'presence', 'of', 'the', 'chains']] | [-0.20597921401983307, 0.18436117172842065, -0.019975199431721723, 0.08158775237050929, -0.027378678145337728, -0.08618637124046442, 0.0026812420110218227, 0.35547082215141984, -0.2902735174303093, -0.2774305905425741, 0.09290026851381446, -0.21626536926675227, -0.0961725638368197, 0.16808070087309687, 0.08620249974210897, -0.018548946407052777, -0.019526105449204485, 0.03912142811403159, -0.058831154147253165, -0.18177834257198078, 0.32050283948680564, 0.04596022273143453, 0.30879841357349386, 0.046874880610454465, 0.0858528156344208, -0.004928682380611257, 0.08049908640884584, 0.10341427013308051, -0.10682807912329031, 0.05344208292174904, 0.17981945538532831, -0.027482563577171777, 0.2077812329573076, -0.47472013926674284, -0.2727420279275506, 0.013666877282723304, 0.16791671923842402, 0.14281457648124365, -0.04452787711653077, -0.2794346359948958, 0.04722717946635619, -0.14108963587111042, -0.17863112454482866, -0.03495876409203535, 0.013155320009607221, 0.04815487006318665, -0.26014200391927583, 0.09298557166250483, 0.0918007314377915, 0.0892119303555979, -0.0917688706634386, -0.06745146929977401, -0.0462064172062392, 0.03731064697457177, 0.029558461756565638, 0.06908063491385791, 0.1426402892571904, -0.14535087892304985, -0.08872179569950658, 0.3677200458853716, -0.07102264412077924, -0.14762155696629517, 0.12910768245497056, -0.13769338200161715, -0.08464830057064612, 0.16074664372530195, 0.1324548430500492, 0.12591645256766387, -0.13972785459895198, 0.12150499967139049, -0.0668559588281618, 0.12288902837721136, 0.008963346939473864, -0.025068869292285415, 0.2801579874057713, 0.1975555229751814, 0.0016300207109100396, 0.18791354312786773, -0.10952947006726096, -0.15083970601159719, -0.26028012488442925, -0.1262192504119969, -0.19460161715265242, -0.008063446144543348, -0.05162766018991299, -0.21694108920412197, 0.4013134594255638, 0.0915934554331245, 0.2029752708105896, -0.055999216689322624, 0.24979538416429872, 0.15725856081905565, 0.1287533471195568, 0.026429700822899898, 0.2505015437341025, 0.23905152527825727, 0.1039429589798073, -0.29107356043682703, 0.0836172555948818, 0.06671850441113836] |
708.3094 | Brane Decay and Defect Formation | Topological defects are generically expected to form in models of brane
inflation. Brane-anti-brane annihilation provides a way to gracefully end
inflation, and the dynamics of the tachyon field results in defect formation.
The formation of defects has been studied mainly from the brane world-volume
point of view, but the defects are themselves lower-dimensional branes, and as
a result they couple to bulk fields. To investigate the impact of bulk fields
on brane defect formation, we construct a toy model that captures the essential
features of the tachyon condensation with bulk fields. In this toy model, we
study the structure of defects and simulate their formation and evolution on a
lattice. We find that while bulk fields do not have a significant effect on
defect formation, they drastically influence the subsequent evolution of the
defects, as they re-introduce long-range interactions between them.
| hep-th | topological defects are generically expected to form in models of brane inflation braneantibrane annihilation provides a way to gracefully end inflation and the dynamics of the tachyon field results in defect formation the formation of defects has been studied mainly from the brane worldvolume point of view but the defects are themselves lowerdimensional branes and as a result they couple to bulk fields to investigate the impact of bulk fields on brane defect formation we construct a toy model that captures the essential features of the tachyon condensation with bulk fields in this toy model we study the structure of defects and simulate their formation and evolution on a lattice we find that while bulk fields do not have a significant effect on defect formation they drastically influence the subsequent evolution of the defects as they reintroduce longrange interactions between them | [['topological', 'defects', 'are', 'generically', 'expected', 'to', 'form', 'in', 'models', 'of', 'brane', 'inflation', 'braneantibrane', 'annihilation', 'provides', 'a', 'way', 'to', 'gracefully', 'end', 'inflation', 'and', 'the', 'dynamics', 'of', 'the', 'tachyon', 'field', 'results', 'in', 'defect', 'formation', 'the', 'formation', 'of', 'defects', 'has', 'been', 'studied', 'mainly', 'from', 'the', 'brane', 'worldvolume', 'point', 'of', 'view', 'but', 'the', 'defects', 'are', 'themselves', 'lowerdimensional', 'branes', 'and', 'as', 'a', 'result', 'they', 'couple', 'to', 'bulk', 'fields', 'to', 'investigate', 'the', 'impact', 'of', 'bulk', 'fields', 'on', 'brane', 'defect', 'formation', 'we', 'construct', 'a', 'toy', 'model', 'that', 'captures', 'the', 'essential', 'features', 'of', 'the', 'tachyon', 'condensation', 'with', 'bulk', 'fields', 'in', 'this', 'toy', 'model', 'we', 'study', 'the', 'structure', 'of', 'defects', 'and', 'simulate', 'their', 'formation', 'and', 'evolution', 'on', 'a', 'lattice', 'we', 'find', 'that', 'while', 'bulk', 'fields', 'do', 'not', 'have', 'a', 'significant', 'effect', 'on', 'defect', 'formation', 'they', 'drastically', 'influence', 'the', 'subsequent', 'evolution', 'of', 'the', 'defects', 'as', 'they', 'reintroduce', 'longrange', 'interactions', 'between', 'them']] | [-0.1408803709089122, 0.16508351074505254, -0.11213431403854968, 0.11813473459316669, -0.05941623430666084, -0.09876753289767719, -0.008774003136163274, 0.36627390767374995, -0.2183489564489177, -0.295896997113864, 0.05443228846614031, -0.2702796463821585, -0.16345605260613275, 0.08809876690721073, -0.015904211624135786, -0.04009737201193546, -0.012652570297545258, 0.01747532593456249, -0.04797403299140724, -0.3005307833812735, 0.3501141702571342, 0.05717110373938443, 0.3023244653504791, 0.08340967760309048, 0.02001557786162969, -0.0506657522026423, 0.02343559829214363, 0.03263048313108953, -0.1760748297952203, 0.090451291848159, 0.16848166932382128, 0.04486662569680377, 0.1691266318390159, -0.5107323174094055, -0.2758149289805112, 0.09196540056430597, 0.18398978444252242, 0.2112021596412049, -0.08769703779207767, -0.2635359427039611, 0.057188118372033254, -0.1299212154872874, -0.12162084648623428, -0.06317887093676981, -0.001337969194311675, -0.041663195655915676, -0.19879480844226513, 0.0667270014445621, 0.04417384813493448, 0.021424380600029696, -0.10011583694309684, -0.010645526973200394, -0.14114246761809426, 0.09438252615484785, 0.10243639189598039, 0.0165657971156695, 0.21325790177674053, -0.20609777145986016, -0.13612669279653553, 0.3946360609897062, -0.08485795096461232, -0.16677006029570146, 0.23010165796529317, -0.13469425436020135, -0.12542930860666834, 0.1169950824481904, 0.1589460540377099, 0.11886779234103911, -0.12024920690079807, 0.12640984596004248, 0.03451000344245992, 0.1176910290623774, 0.06855945227046807, 0.07001985628025752, 0.34291809461746653, 0.1537325893787185, 0.013435223077073798, 0.13776005751862858, -0.05224325109373511, -0.1295282053232774, -0.3176282448099649, -0.14216338385372085, -0.12995497993992786, 0.07547328337964665, -0.08986467898762224, -0.2261599332080982, 0.3880345589722381, 0.14713114136763922, 0.22909746394436542, -0.029042742651035177, 0.17598676476759692, 0.04445072428483503, 0.10415260575824015, 0.027543789518878183, 0.25688760390122095, 0.11494659745392014, 0.0997889119197106, -0.24225985992481894, -0.015066232367134686, 0.05931435266496442] |
708.3095 | Effect of Disorder and Notches on Crack Roughness | We analyze the effect of disorder and notches on crack roughness in two
dimensions. Our simulation results based on large system sizes and extensive
statistical sampling indicate that the crack surface exhibits a universal local
roughness of $\zeta_{loc} = 0.71$ and is independent of the initial notch size
and disorder in breaking thresholds. The global roughness exponent scales as
$\zeta = 0.87$ and is also independent of material disorder. Furthermore, we
note that the statistical distribution of crack profile height fluctuations is
also independent of material disorder and is described by a Gaussian
distribution, albeit deviations are observed in the tails.
| cond-mat.stat-mech cond-mat.mtrl-sci | we analyze the effect of disorder and notches on crack roughness in two dimensions our simulation results based on large system sizes and extensive statistical sampling indicate that the crack surface exhibits a universal local roughness of zeta_loc 071 and is independent of the initial notch size and disorder in breaking thresholds the global roughness exponent scales as zeta 087 and is also independent of material disorder furthermore we note that the statistical distribution of crack profile height fluctuations is also independent of material disorder and is described by a gaussian distribution albeit deviations are observed in the tails | [['we', 'analyze', 'the', 'effect', 'of', 'disorder', 'and', 'notches', 'on', 'crack', 'roughness', 'in', 'two', 'dimensions', 'our', 'simulation', 'results', 'based', 'on', 'large', 'system', 'sizes', 'and', 'extensive', 'statistical', 'sampling', 'indicate', 'that', 'the', 'crack', 'surface', 'exhibits', 'a', 'universal', 'local', 'roughness', 'of', 'zeta_loc', '071', 'and', 'is', 'independent', 'of', 'the', 'initial', 'notch', 'size', 'and', 'disorder', 'in', 'breaking', 'thresholds', 'the', 'global', 'roughness', 'exponent', 'scales', 'as', 'zeta', '087', 'and', 'is', 'also', 'independent', 'of', 'material', 'disorder', 'furthermore', 'we', 'note', 'that', 'the', 'statistical', 'distribution', 'of', 'crack', 'profile', 'height', 'fluctuations', 'is', 'also', 'independent', 'of', 'material', 'disorder', 'and', 'is', 'described', 'by', 'a', 'gaussian', 'distribution', 'albeit', 'deviations', 'are', 'observed', 'in', 'the', 'tails']] | [-0.1404507690099905, 0.18536269324690555, -0.16125488492914222, 0.05924569369961667, 0.014092541193340274, -0.1369038411754776, 0.032636602879548914, 0.3815712754925092, -0.2592378798684086, -0.2690376803899805, 0.08398154473538991, -0.2975502313312256, -0.15619143935842345, 0.17275945077452695, -0.0427375254644589, 0.07709080311516771, 0.0004596635652235662, -0.0578902699864667, -0.038911879177891996, -0.22072959412830045, 0.32573475484322345, 0.06762556908558114, 0.32691151181217093, 0.09428291520423661, 0.042273285050848215, -0.013862988422389585, 0.0022573230995072257, 0.07488337856237635, -0.19253505523286576, 0.038784871169488234, 0.13676332648504863, -0.022991907158075725, 0.22305677378681874, -0.3569647218147763, -0.2178504870019176, 0.023221132213795424, 0.16159427609539243, 0.10716436869192003, -0.013037781134680515, -0.2604563263729403, 0.09690206873258858, -0.10098152969860369, -0.1716402554508261, 0.00486859559749413, 0.07131523430592032, 0.061863170108861394, -0.2968200012439429, 0.1781490458442472, 0.05364425925566166, 0.14786075794307346, -0.04485304582149091, -0.12811890095260672, -0.047190630307533975, 0.09220143071272308, 0.10250954123947656, -0.006878365513238341, 0.23470295970375188, -0.12523589598372428, -0.05466607035222379, 0.3267337835106923, -0.036544232749182615, -0.17077508479629577, 0.1764495272466894, -0.17579392310363626, -0.08641505945530353, 0.16560135156179617, 0.18367847497574985, 0.027205325507869322, -0.0858897404801665, 0.05049671516220163, -0.011421600676546193, 0.23150401936862805, 0.062287020014899996, 0.025756236203391143, 0.15415869961784343, 0.20616413394196165, 0.04073119419391709, 0.14839867689303415, -0.16571996473728426, -0.07156996302908719, -0.31880101448658743, -0.12185902626846325, -0.27013478836402144, 0.032646188065597805, -0.20316600051592104, -0.2166284684778539, 0.3951099759927302, 0.18226932514590596, 0.19836508445065432, 0.09928294477485722, 0.19383203062332338, 0.09847501268836134, 0.029433106627277654, 0.051100524608045816, 0.2089551728350496, 0.11488953022276889, 0.034340991826746804, -0.227187276606194, 0.13966228560111815, -0.010944523335895453] |
708.3096 | Rectification of Swimming Bacteria and Self Driven Particle Systems by
Arrays of Asymmetric Barriers | We show that the recent experimental observation of the rectification of
swimming bacteria in a system with an array of asymmetric barriers occurs due
to the ballistic component of the bacteria trajectories introduced by the
bacterial "motor." Each bacteria selects a random direction for motion and then
moves in this direction for a fixed period of time before randomly changing its
orientation and moving in a new direction. In the limit where the bacteria
undergo only Brownian motion, rectification by the barriers does not occur. We
also examine the effects of steric interactions between the bacteria and
observe a clogging effect upon increasing the bacteria density.
| cond-mat.soft cond-mat.stat-mech q-bio.CB | we show that the recent experimental observation of the rectification of swimming bacteria in a system with an array of asymmetric barriers occurs due to the ballistic component of the bacteria trajectories introduced by the bacterial motor each bacteria selects a random direction for motion and then moves in this direction for a fixed period of time before randomly changing its orientation and moving in a new direction in the limit where the bacteria undergo only brownian motion rectification by the barriers does not occur we also examine the effects of steric interactions between the bacteria and observe a clogging effect upon increasing the bacteria density | [['we', 'show', 'that', 'the', 'recent', 'experimental', 'observation', 'of', 'the', 'rectification', 'of', 'swimming', 'bacteria', 'in', 'a', 'system', 'with', 'an', 'array', 'of', 'asymmetric', 'barriers', 'occurs', 'due', 'to', 'the', 'ballistic', 'component', 'of', 'the', 'bacteria', 'trajectories', 'introduced', 'by', 'the', 'bacterial', 'motor', 'each', 'bacteria', 'selects', 'a', 'random', 'direction', 'for', 'motion', 'and', 'then', 'moves', 'in', 'this', 'direction', 'for', 'a', 'fixed', 'period', 'of', 'time', 'before', 'randomly', 'changing', 'its', 'orientation', 'and', 'moving', 'in', 'a', 'new', 'direction', 'in', 'the', 'limit', 'where', 'the', 'bacteria', 'undergo', 'only', 'brownian', 'motion', 'rectification', 'by', 'the', 'barriers', 'does', 'not', 'occur', 'we', 'also', 'examine', 'the', 'effects', 'of', 'steric', 'interactions', 'between', 'the', 'bacteria', 'and', 'observe', 'a', 'clogging', 'effect', 'upon', 'increasing', 'the', 'bacteria', 'density']] | [-0.17015474066929012, 0.24114816829483662, -0.059621953170961826, -0.04477808388710057, -0.04200422614241757, -0.13084781852129074, 0.08322085089018384, 0.3908919231825561, -0.30704818621172375, -0.25474884618460286, 0.019888559468354116, -0.2597752155841522, -0.1945249227683921, 0.1483417391109298, -0.08790964367448019, -0.036061940105732986, 0.06210924354645441, 0.011408392750693238, 0.06849964364774455, -0.18394961142648925, 0.18859622189841005, 0.03303587693229036, 0.2677459098455795, 0.03297986840512955, 0.18470732198549294, 0.04526554864066881, 0.021172941246955162, 0.0424158228824864, -0.1434323261473421, 0.04675796293249389, 0.17040504243681734, -0.00914278260172995, 0.2591928085400108, -0.47160698856525823, -0.21237565306858774, 0.11813341305187007, 0.17345876226482806, 0.18196267648687903, -0.08279241208878856, -0.2820501046272803, 0.031210383224599767, -0.14120383915614407, -0.16043771842037732, 0.028617759270347515, 0.09895013650343314, 0.1118762857052234, -0.2201867619450292, 0.11367569069289118, 0.08478882779226692, 0.06500122126824451, -0.07514620466127042, -0.05871368127870637, -0.05076721383539854, 0.14287785620358334, 0.11869989053504366, -0.0038891930159462513, 0.27133958529294383, -0.14858706494384744, -0.11891423715366367, 0.3721604565386924, -0.039306420954779, -0.2238397431199632, 0.20139928709908897, -0.16006056735081212, -0.07612793533711361, 0.1519065266562942, 0.17817664187717833, 0.11833203436789226, -0.13676858091955338, 0.023506963123097347, -0.016669383427382993, 0.12407349525370968, 0.09972392414028775, -0.06511400504046524, 0.21425518649190944, 0.16231293069585315, 0.1304527425826615, 0.13824714077109435, -0.14498244550184541, -0.11020504810214746, -0.22937304689988214, -0.16744808359170454, -0.17064789044992001, 0.02546329539994608, -0.07523694361149848, -0.1437516503282032, 0.39283542747978334, 0.1395362163806018, 0.2673026236160746, 0.04220402346185918, 0.2631607570109959, 0.04460775574563809, 0.05729868893804279, 0.027120529656421463, 0.2173167156793599, 0.07311707427549474, 0.14990502360435026, -0.2949745053500113, 0.12689508884631204, -0.008329461730647622] |
708.3097 | One loop superstring effective actions and N=8 supergravity | In a previous article we have shown the existence of a new independent R^4
term, at one loop, in the type IIA and heterotic effective actions, after
reduction to four dimensions, besides the usual square of the Bel-Robinson
tensor. It had been shown that such a term could not be directly
supersymmetrized, but we showed that was possible after coupling to a scalar
chiral multiplet. In this article we study the extended (N=8)
supersymmetrization of this term, where no other coupling can be taken. We show
that such supersymmetrization cannot be achieved at the linearized level. This
is in conflict with the theory one gets after toroidal compactification of type
II superstrings being N=8 supersymmetric. We interpret this result in face of
the recent claim that perturbative supergravity cannot be decoupled from string
theory in d>=4, and N=8, d=4 supergravity is in the swampland.
| hep-th | in a previous article we have shown the existence of a new independent r4 term at one loop in the type iia and heterotic effective actions after reduction to four dimensions besides the usual square of the belrobinson tensor it had been shown that such a term could not be directly supersymmetrized but we showed that was possible after coupling to a scalar chiral multiplet in this article we study the extended n8 supersymmetrization of this term where no other coupling can be taken we show that such supersymmetrization cannot be achieved at the linearized level this is in conflict with the theory one gets after toroidal compactification of type ii superstrings being n8 supersymmetric we interpret this result in face of the recent claim that perturbative supergravity cannot be decoupled from string theory in d4 and n8 d4 supergravity is in the swampland | [['in', 'a', 'previous', 'article', 'we', 'have', 'shown', 'the', 'existence', 'of', 'a', 'new', 'independent', 'r4', 'term', 'at', 'one', 'loop', 'in', 'the', 'type', 'iia', 'and', 'heterotic', 'effective', 'actions', 'after', 'reduction', 'to', 'four', 'dimensions', 'besides', 'the', 'usual', 'square', 'of', 'the', 'belrobinson', 'tensor', 'it', 'had', 'been', 'shown', 'that', 'such', 'a', 'term', 'could', 'not', 'be', 'directly', 'supersymmetrized', 'but', 'we', 'showed', 'that', 'was', 'possible', 'after', 'coupling', 'to', 'a', 'scalar', 'chiral', 'multiplet', 'in', 'this', 'article', 'we', 'study', 'the', 'extended', 'n8', 'supersymmetrization', 'of', 'this', 'term', 'where', 'no', 'other', 'coupling', 'can', 'be', 'taken', 'we', 'show', 'that', 'such', 'supersymmetrization', 'can', 'not', 'be', 'achieved', 'at', 'the', 'linearized', 'level', 'this', 'is', 'in', 'conflict', 'with', 'the', 'theory', 'one', 'gets', 'after', 'toroidal', 'compactification', 'of', 'type', 'ii', 'superstrings', 'being', 'n8', 'supersymmetric', 'we', 'interpret', 'this', 'result', 'in', 'face', 'of', 'the', 'recent', 'claim', 'that', 'perturbative', 'supergravity', 'can', 'not', 'be', 'decoupled', 'from', 'string', 'theory', 'in', 'd4', 'and', 'n8', 'd4', 'supergravity', 'is', 'in', 'the', 'swampland']] | [-0.11041694445446236, 0.1501057863280126, -0.0579577971804785, 0.0797273429821896, -0.09179839057758553, -0.1603932846146189, -0.032089922138591846, 0.3242699021078034, -0.18377579335276395, -0.25310808234395177, 0.11877460222075732, -0.26657519966670096, -0.1978544699640511, 0.09800960291942505, -0.10652728764697501, -0.020702662812354528, 0.004779441607079456, 0.1041890269716283, -0.07122174365970638, -0.3354062088286785, 0.3154344360905457, 0.0029671827158954454, 0.22971966132989682, 0.07810063034372583, 0.06888297945261002, -0.04976907454204605, 0.011454978973320876, 0.05678170086969048, -0.07090744978771385, 0.09778190224131646, 0.24302957333905034, 0.09914923968045351, 0.15728968241545435, -0.4549131589903407, -0.23662429645319458, 0.10790238758128086, 0.20492125793092258, 0.18906034734132, 0.004528912994691668, -0.24906068041359317, 0.08960630114973991, -0.2094007899940065, -0.1688308155782878, -0.08107613125012243, 0.01800397858151222, -0.12763764586679205, -0.2500517966523958, 0.06621563977666346, 0.04634962937705321, 0.016635165722045587, -0.042517527339865184, -0.08067009727987269, -0.0487092704422874, 0.059234974679396785, 0.14736083836760372, 0.0874020178407217, 0.06245143567243821, -0.15705206620264545, -0.1411357839752869, 0.3467226069267482, -0.10117130064284302, -0.20860212102168788, 0.1464535812305108, -0.13142611627301123, -0.206933520013492, 0.09403159938854715, 0.05858136811740186, 0.12689201349124618, -0.15648253759678632, 0.200881629843386, -0.040771875451542185, 0.16524715395325362, 0.10457734408954235, 0.036113505161603374, 0.22969923497573153, 0.11736633440029923, 0.035044736102102195, 0.10991704992811221, -0.023931613555560782, -0.07220210583780076, -0.41014047502858997, -0.12668819277633414, -0.11805747827349154, 0.1322823456485161, -0.09002738947998445, -0.1280158932367818, 0.3646458890958855, 0.1211756015904503, 0.16437749448431693, 0.031374101737539656, 0.1975691808317469, 0.12207004829462975, 0.13379374049501877, 0.041388076824161596, 0.340110928569729, 0.0895691074635068, 0.08652138365560198, -0.21491072914875686, -0.09692440764605362, 0.1561366176856235] |
708.3098 | CompostBin: A DNA composition-based algorithm for binning environmental
shotgun reads | A major hindrance to studies of microbial diversity has been that the vast
majority of microbes cannot be cultured in the laboratory and thus are not
amenable to traditional methods of characterization. Environmental shotgun
sequencing (ESS) overcomes this hurdle by sequencing the DNA from the organisms
present in a microbial community. The interpretation of this metagenomic data
can be greatly facilitated by associating every sequence read with its source
organism. We report the development of CompostBin, a DNA composition-based
algorithm for analyzing metagenomic sequence reads and distributing them into
taxon-specific bins. Unlike previous methods that seek to bin assembled contigs
and often require training on known reference genomes, CompostBin has the
ability to accurately bin raw sequence reads without need for assembly or
training. It applies principal component analysis to project the data into an
informative lower-dimensional space, and then uses the normalized cut
clustering algorithm on this filtered data set to classify sequences into
taxon-specific bins. We demonstrate the algorithm's accuracy on a variety of
simulated data sets and on one metagenomic data set with known species
assignments. CompostBin is a work in progress, with several refinements of the
algorithm planned for the future.
| q-bio.GN | a major hindrance to studies of microbial diversity has been that the vast majority of microbes cannot be cultured in the laboratory and thus are not amenable to traditional methods of characterization environmental shotgun sequencing ess overcomes this hurdle by sequencing the dna from the organisms present in a microbial community the interpretation of this metagenomic data can be greatly facilitated by associating every sequence read with its source organism we report the development of compostbin a dna compositionbased algorithm for analyzing metagenomic sequence reads and distributing them into taxonspecific bins unlike previous methods that seek to bin assembled contigs and often require training on known reference genomes compostbin has the ability to accurately bin raw sequence reads without need for assembly or training it applies principal component analysis to project the data into an informative lowerdimensional space and then uses the normalized cut clustering algorithm on this filtered data set to classify sequences into taxonspecific bins we demonstrate the algorithms accuracy on a variety of simulated data sets and on one metagenomic data set with known species assignments compostbin is a work in progress with several refinements of the algorithm planned for the future | [['a', 'major', 'hindrance', 'to', 'studies', 'of', 'microbial', 'diversity', 'has', 'been', 'that', 'the', 'vast', 'majority', 'of', 'microbes', 'can', 'not', 'be', 'cultured', 'in', 'the', 'laboratory', 'and', 'thus', 'are', 'not', 'amenable', 'to', 'traditional', 'methods', 'of', 'characterization', 'environmental', 'shotgun', 'sequencing', 'ess', 'overcomes', 'this', 'hurdle', 'by', 'sequencing', 'the', 'dna', 'from', 'the', 'organisms', 'present', 'in', 'a', 'microbial', 'community', 'the', 'interpretation', 'of', 'this', 'metagenomic', 'data', 'can', 'be', 'greatly', 'facilitated', 'by', 'associating', 'every', 'sequence', 'read', 'with', 'its', 'source', 'organism', 'we', 'report', 'the', 'development', 'of', 'compostbin', 'a', 'dna', 'compositionbased', 'algorithm', 'for', 'analyzing', 'metagenomic', 'sequence', 'reads', 'and', 'distributing', 'them', 'into', 'taxonspecific', 'bins', 'unlike', 'previous', 'methods', 'that', 'seek', 'to', 'bin', 'assembled', 'contigs', 'and', 'often', 'require', 'training', 'on', 'known', 'reference', 'genomes', 'compostbin', 'has', 'the', 'ability', 'to', 'accurately', 'bin', 'raw', 'sequence', 'reads', 'without', 'need', 'for', 'assembly', 'or', 'training', 'it', 'applies', 'principal', 'component', 'analysis', 'to', 'project', 'the', 'data', 'into', 'an', 'informative', 'lowerdimensional', 'space', 'and', 'then', 'uses', 'the', 'normalized', 'cut', 'clustering', 'algorithm', 'on', 'this', 'filtered', 'data', 'set', 'to', 'classify', 'sequences', 'into', 'taxonspecific', 'bins', 'we', 'demonstrate', 'the', 'algorithms', 'accuracy', 'on', 'a', 'variety', 'of', 'simulated', 'data', 'sets', 'and', 'on', 'one', 'metagenomic', 'data', 'set', 'with', 'known', 'species', 'assignments', 'compostbin', 'is', 'a', 'work', 'in', 'progress', 'with', 'several', 'refinements', 'of', 'the', 'algorithm', 'planned', 'for', 'the', 'future']] | [-0.04580540517855873, 0.06942595626836065, -0.06997188893431912, 0.057326092110348066, -0.08378627787971375, -0.09714222394823267, 0.07593087205124012, 0.4149253949218867, -0.27743684024103366, -0.33634983809137414, 0.10168134114925978, -0.27085441897376156, -0.11489556215338799, 0.21168570713097307, -0.11552057653779582, 0.069202471806309, 0.17462447773408601, -0.0061769764300207705, 0.041132987545784185, -0.2893143608769383, 0.2604320238935951, 0.0504539004759863, 0.3134027278604347, -0.04307817870499186, 0.1019406080886256, 0.003966826356339211, -0.09800967815978338, 0.002231917475149444, -0.11097268252038071, 0.1635989331241165, 0.33044483892771664, 0.26798393259808534, 0.31339812984842125, -0.41043437666860194, -0.19286918866196268, 0.1651169564681869, 0.18869583224355035, 0.15047154688200323, -0.04763594492961063, -0.26377791147298957, 0.10115777708133279, -0.11037515234903014, -0.03658863236386405, -0.10793593247440092, 0.0037516058132774674, 0.03093778288077411, -0.22904470725916326, 0.04436818264633873, 0.01619705624791689, 0.057650043076731036, -0.05025780830610715, -0.1523654661664017, -0.005329299646866869, 0.18149309846862427, 0.03367579136488066, 0.06562219556582598, 0.1651499817579657, -0.06498165363659703, -0.11635984527184723, 0.3670194496362641, -0.005500873180144295, -0.1855611472416726, 0.18394395670727637, -0.09436333867512187, -0.2079268277145219, 0.14111027848783272, 0.16380079794076405, 0.07187683431298605, -0.19472234198177346, 0.04252152827720405, 0.003641781446462193, 0.21047962958952982, 0.07294856229017736, -0.0313979785851374, 0.21554292902369432, 0.2329676507649069, 0.05373634682131969, 0.10319539244412634, -0.09664650456828412, -0.032611397963387856, -0.18615698179572213, -0.14035666725189633, -0.19158444756865312, 0.019282906445257642, -0.05727843054514129, -0.1692942212340517, 0.3669033275978944, 0.1367990395499094, 0.19084111780013738, 0.10654008703553403, 0.3155236596583712, -0.05126847759259233, 0.16010773444978274, -0.013390587657043825, 0.1020261788406951, 0.044894784330200325, 0.08836989824146944, -0.17956631106433782, 0.09813044382002661, 0.00844737755049172] |
708.3099 | A multicolor near-infrared study of the dwarf nova IP Peg | We report the analysis of $JHK_{s}$ light curves of the eclipsing dwarf nova
IP Peg in quiescence. The light curves are dominated by the ellipsoidal
variation of the mass-donor star, with additional contributions from the
accretion disc and anisotropic emission from the bright spot. A secondary
eclipse is visible in the $J$ and $H$ light curves, with 2% and 3% of the flux
disappearing at minimum light, respectively. We modeled the observed
ellipsoidal variation of the secondary star (including possible illumination
effects on its inner face) to find a mass ratio of $q = 0.42$ and an
inclination of $i = 84.5^{o} $, consistent in the three bands within the
uncertainties. Illumination effects are negligible. The secondary is
responsible for 83%, 84% and 88% of the flux in $J$, $H$ and $K_{s}$,
respectively. We fitted a black body spectrum to the $JHK_{s}$ fluxes of the
secondary star to find a temperature of $T_{bb} = 3100\pm500 K$ and a distance
of $d=115\pm30$ pc to the system. We subtracted the contribution of the
secondary star and applied 3-D eclipse mapping techniques to the resulting
light curves to map the surface brightness of a disc with half-opening angle
$\alpha$ and a circular rim at the radius of the bright spot. The eclipse maps
show enhanced emission along the stream trajectory ahead of the bright spot
position, providing evidence of gas stream overflow. The inferred radial
brightness-temperature distribution in the disc is flat for $R < 0.3R_{L1}$
with temperatures $\simeq 3500K$ and colors consistent with those of cool
opaque radiators.
| astro-ph | we report the analysis of jhk_s light curves of the eclipsing dwarf nova ip peg in quiescence the light curves are dominated by the ellipsoidal variation of the massdonor star with additional contributions from the accretion disc and anisotropic emission from the bright spot a secondary eclipse is visible in the j and h light curves with 2 and 3 of the flux disappearing at minimum light respectively we modeled the observed ellipsoidal variation of the secondary star including possible illumination effects on its inner face to find a mass ratio of q 042 and an inclination of i 845o consistent in the three bands within the uncertainties illumination effects are negligible the secondary is responsible for 83 84 and 88 of the flux in j h and k_s respectively we fitted a black body spectrum to the jhk_s fluxes of the secondary star to find a temperature of t_bb 3100pm500 k and a distance of d115pm30 pc to the system we subtracted the contribution of the secondary star and applied 3d eclipse mapping techniques to the resulting light curves to map the surface brightness of a disc with halfopening angle alpha and a circular rim at the radius of the bright spot the eclipse maps show enhanced emission along the stream trajectory ahead of the bright spot position providing evidence of gas stream overflow the inferred radial brightnesstemperature distribution in the disc is flat for r 03r_l1 with temperatures simeq 3500k and colors consistent with those of cool opaque radiators | [['we', 'report', 'the', 'analysis', 'of', 'jhk_s', 'light', 'curves', 'of', 'the', 'eclipsing', 'dwarf', 'nova', 'ip', 'peg', 'in', 'quiescence', 'the', 'light', 'curves', 'are', 'dominated', 'by', 'the', 'ellipsoidal', 'variation', 'of', 'the', 'massdonor', 'star', 'with', 'additional', 'contributions', 'from', 'the', 'accretion', 'disc', 'and', 'anisotropic', 'emission', 'from', 'the', 'bright', 'spot', 'a', 'secondary', 'eclipse', 'is', 'visible', 'in', 'the', 'j', 'and', 'h', 'light', 'curves', 'with', '2', 'and', '3', 'of', 'the', 'flux', 'disappearing', 'at', 'minimum', 'light', 'respectively', 'we', 'modeled', 'the', 'observed', 'ellipsoidal', 'variation', 'of', 'the', 'secondary', 'star', 'including', 'possible', 'illumination', 'effects', 'on', 'its', 'inner', 'face', 'to', 'find', 'a', 'mass', 'ratio', 'of', 'q', '042', 'and', 'an', 'inclination', 'of', 'i', '845o', 'consistent', 'in', 'the', 'three', 'bands', 'within', 'the', 'uncertainties', 'illumination', 'effects', 'are', 'negligible', 'the', 'secondary', 'is', 'responsible', 'for', '83', '84', 'and', '88', 'of', 'the', 'flux', 'in', 'j', 'h', 'and', 'k_s', 'respectively', 'we', 'fitted', 'a', 'black', 'body', 'spectrum', 'to', 'the', 'jhk_s', 'fluxes', 'of', 'the', 'secondary', 'star', 'to', 'find', 'a', 'temperature', 'of', 't_bb', '3100pm500', 'k', 'and', 'a', 'distance', 'of', 'd115pm30', 'pc', 'to', 'the', 'system', 'we', 'subtracted', 'the', 'contribution', 'of', 'the', 'secondary', 'star', 'and', 'applied', '3d', 'eclipse', 'mapping', 'techniques', 'to', 'the', 'resulting', 'light', 'curves', 'to', 'map', 'the', 'surface', 'brightness', 'of', 'a', 'disc', 'with', 'halfopening', 'angle', 'alpha', 'and', 'a', 'circular', 'rim', 'at', 'the', 'radius', 'of', 'the', 'bright', 'spot', 'the', 'eclipse', 'maps', 'show', 'enhanced', 'emission', 'along', 'the', 'stream', 'trajectory', 'ahead', 'of', 'the', 'bright', 'spot', 'position', 'providing', 'evidence', 'of', 'gas', 'stream', 'overflow', 'the', 'inferred', 'radial', 'brightnesstemperature', 'distribution', 'in', 'the', 'disc', 'is', 'flat', 'for', 'r', '03r_l1', 'with', 'temperatures', 'simeq', '3500k', 'and', 'colors', 'consistent', 'with', 'those', 'of', 'cool', 'opaque', 'radiators']] | [-0.11117184342960695, 0.11253556941249662, -0.08301883070118846, 0.05591966508914102, -0.05971314072390257, -0.11940252769602697, 0.07068771853673494, 0.41890564760257326, -0.22578365005824247, -0.3586695446695959, 0.07933628753436586, -0.3400692635890745, -0.02933192744602257, 0.19319891971620817, -0.08616979113357662, -0.007775777073054827, 0.050095693496723284, -0.04404278025375151, -0.05645454479291892, -0.20226349729784437, 0.26882930129562854, 0.047838069958544456, 0.12554580962444706, 0.022509429558568637, 0.04273721385136367, -0.008685504339412911, -0.07548761061818796, -0.025991946530456726, -0.14316419411171605, 0.07029183339780039, 0.15264792617708295, 0.08824893429701929, 0.12072469575164711, -0.32634655454220546, -0.20405775051835456, 0.033232215230660944, 0.13283989453397932, 0.005524890569909683, -0.02357665973249823, -0.2332641294919829, 0.05037074899187817, -0.14352147096507856, -0.1850877229316605, 0.10559461166307345, 0.10759174072670068, 0.013735308330732318, -0.24581348884715, 0.10228781510702512, 0.047541591311476915, 0.09897689446844612, -0.11271480719798324, -0.11724231288408264, -0.11904180276505498, 0.07476293713868659, 0.058937386693508335, 0.09959936804639605, 0.1720924237196292, -0.12121797613337681, -0.0158847555789629, 0.39550962401667106, -0.13944646633825894, -0.00782010987446255, 0.15842280146639479, -0.2127728925712467, -0.08172416092021022, 0.22882869413409096, 0.16034956080537394, 0.12153468348853184, -0.11456592736621048, -0.007099275015811116, -0.00584748570349158, 0.19527096707026967, 0.06706540317789308, 0.03347268457211524, 0.35195974950953895, 0.09327937265563953, 0.012872195197457848, 0.12622671812039382, -0.2917352176039491, -0.017830995047260653, -0.2635127067005522, -0.08183196034501138, -0.10734653444762761, 0.02833059899789858, -0.12639208475770222, -0.1273957949248614, 0.3772505255513127, 0.05890808410015003, 0.2479725527399887, 0.02076318990891641, 0.31721278423677207, 0.08681650400733922, 0.053541956226217, 0.153509385608176, 0.30112914341220987, 0.16574052960266875, 0.09538852944706193, -0.275747094994556, 0.02262265712912628, -0.021717733577240696] |
708.31 | Determining Spins of Metastable Sleptons at the Large Hadron Collider | We investigate models in minimal supergravity parameter space which contain
metastable sleptons. We find the luminosity required to determine the slepton
spin in these scenarios, and apply our analysis to two benchmark models. We
show that the spin of the slepton in one of the benchmark models can be
determined with less than 30 fb$^{-1}$ of data, while the slepton spin in the
other model can be determined with roughly 40 fb$^{-1}$ of data. We show how
our analysis can be applied to other models, and give an estimate of the
luminosity needed for a spin determination as a function of slepton mass. This
analysis can be used to distinguish supersymmetry and extra dimensions.
| hep-ph | we investigate models in minimal supergravity parameter space which contain metastable sleptons we find the luminosity required to determine the slepton spin in these scenarios and apply our analysis to two benchmark models we show that the spin of the slepton in one of the benchmark models can be determined with less than 30 fb1 of data while the slepton spin in the other model can be determined with roughly 40 fb1 of data we show how our analysis can be applied to other models and give an estimate of the luminosity needed for a spin determination as a function of slepton mass this analysis can be used to distinguish supersymmetry and extra dimensions | [['we', 'investigate', 'models', 'in', 'minimal', 'supergravity', 'parameter', 'space', 'which', 'contain', 'metastable', 'sleptons', 'we', 'find', 'the', 'luminosity', 'required', 'to', 'determine', 'the', 'slepton', 'spin', 'in', 'these', 'scenarios', 'and', 'apply', 'our', 'analysis', 'to', 'two', 'benchmark', 'models', 'we', 'show', 'that', 'the', 'spin', 'of', 'the', 'slepton', 'in', 'one', 'of', 'the', 'benchmark', 'models', 'can', 'be', 'determined', 'with', 'less', 'than', '30', 'fb1', 'of', 'data', 'while', 'the', 'slepton', 'spin', 'in', 'the', 'other', 'model', 'can', 'be', 'determined', 'with', 'roughly', '40', 'fb1', 'of', 'data', 'we', 'show', 'how', 'our', 'analysis', 'can', 'be', 'applied', 'to', 'other', 'models', 'and', 'give', 'an', 'estimate', 'of', 'the', 'luminosity', 'needed', 'for', 'a', 'spin', 'determination', 'as', 'a', 'function', 'of', 'slepton', 'mass', 'this', 'analysis', 'can', 'be', 'used', 'to', 'distinguish', 'supersymmetry', 'and', 'extra', 'dimensions']] | [-0.045741391368210316, 0.15077862722440236, -0.04590397694540259, 0.15571769790442072, -0.05483045943465345, -0.14613465976742046, 0.006161656247027088, 0.3751334687041348, -0.2300546635595853, -0.38348100710611205, 0.11351297382293922, -0.2779198512353264, -0.0314936635984116, 0.20474806772095658, -0.00701192750497476, 0.03785471429358024, 0.0902984400214464, 0.008824407180215706, -0.10412664654288899, -0.2788293000817168, 0.27612920263945534, -0.008358688412332222, 0.17696306302228518, 0.0618082297855596, 0.056170133002747764, -0.04958469785439471, -0.016497668765256542, -0.062001112828351836, -0.1258562175180327, 0.10313246694083016, 0.26195624133068024, 0.13826720994946204, 0.13360659248734774, -0.4009448526459828, -0.15831039440736436, 0.17902661019348, 0.17451824964710363, 0.11874749518934996, -0.006285586761996934, -0.2690635725953861, 0.11177447777274147, -0.22062935033126882, -0.11866906322048683, -0.09846778737642524, -0.04184729820770914, -0.09051534861148532, -0.31882170588595043, 0.10040186856170757, -0.015288763140377245, -0.0020731354883888314, -0.05040306488476824, -0.13546772028540113, -0.09885942612431552, 0.04382753505355172, 0.1310206619877646, -0.0004043194563373139, 0.13556135722370655, -0.12648134190679053, -0.1878701398729167, 0.3693801582905284, -0.09786768789311745, -0.2122649946347034, 0.196025601825105, -0.1400103620580283, -0.11227125267645247, 0.06371984890613117, 0.22826210768043734, 0.13685774806837894, -0.16726679735298253, 0.07389094383024872, -0.03149850793967122, 0.2471857162952227, 0.033329855944765244, 0.03147570142244691, 0.23454517345842824, 0.21688540144251628, 0.0625447078741752, 0.12287123884756543, -0.12061369073783505, -0.03930884908084153, -0.33717982076504677, -0.12395452875889053, -0.11467115942944299, 0.06480282057268676, -0.11308258076021223, -0.08843726661513772, 0.4116076545650956, 0.2220838936045766, 0.28040633100624146, 0.037120483428640126, 0.24988785843168826, 0.12828609038638605, 0.13138290714439854, 0.05337726967327558, 0.29202238102280126, 0.08174133189063389, 0.04535617834782195, -0.2426828018536693, -0.0036628585096383304, 0.011054909888148438] |
708.3101 | Orbital Instabilities in a Triaxial Cusp Potential | This paper constructs an analytic form for a triaxial potential that
describes the dynamics of a wide variety of astrophysical systems, including
the inner portions of dark matter halos, the central regions of galactic
bulges, and young embedded star clusters. Specifically, this potential results
from a density profile of the form $\rho (m) \propto m^{-1}$, where the radial
coordinate is generalized to triaxial form so that $m^2 = x^2/a^2 + y^2/b^2 +
z^2/c^2 $. Using the resulting analytic form of the potential, and the
corresponding force laws, we construct orbit solutions and show that a robust
orbit instability exists in these systems. For orbits initially confined to any
of the three principal planes, the motion in the perpendicular direction can be
unstable. We discuss the range of parameter space for which these orbits are
unstable, find the growth rates and saturation levels of the instability, and
develop a set of analytic model equations that elucidate the essential physics
of the instability mechanism. This orbit instability has a large number of
astrophysical implications and applications, including understanding the
formation of dark matter halos, the structure of galactic bulges, the survival
of tidal streams, and the early evolution of embedded star clusters.
| astro-ph | this paper constructs an analytic form for a triaxial potential that describes the dynamics of a wide variety of astrophysical systems including the inner portions of dark matter halos the central regions of galactic bulges and young embedded star clusters specifically this potential results from a density profile of the form rho m propto m1 where the radial coordinate is generalized to triaxial form so that m2 x2a2 y2b2 z2c2 using the resulting analytic form of the potential and the corresponding force laws we construct orbit solutions and show that a robust orbit instability exists in these systems for orbits initially confined to any of the three principal planes the motion in the perpendicular direction can be unstable we discuss the range of parameter space for which these orbits are unstable find the growth rates and saturation levels of the instability and develop a set of analytic model equations that elucidate the essential physics of the instability mechanism this orbit instability has a large number of astrophysical implications and applications including understanding the formation of dark matter halos the structure of galactic bulges the survival of tidal streams and the early evolution of embedded star clusters | [['this', 'paper', 'constructs', 'an', 'analytic', 'form', 'for', 'a', 'triaxial', 'potential', 'that', 'describes', 'the', 'dynamics', 'of', 'a', 'wide', 'variety', 'of', 'astrophysical', 'systems', 'including', 'the', 'inner', 'portions', 'of', 'dark', 'matter', 'halos', 'the', 'central', 'regions', 'of', 'galactic', 'bulges', 'and', 'young', 'embedded', 'star', 'clusters', 'specifically', 'this', 'potential', 'results', 'from', 'a', 'density', 'profile', 'of', 'the', 'form', 'rho', 'm', 'propto', 'm1', 'where', 'the', 'radial', 'coordinate', 'is', 'generalized', 'to', 'triaxial', 'form', 'so', 'that', 'm2', 'x2a2', 'y2b2', 'z2c2', 'using', 'the', 'resulting', 'analytic', 'form', 'of', 'the', 'potential', 'and', 'the', 'corresponding', 'force', 'laws', 'we', 'construct', 'orbit', 'solutions', 'and', 'show', 'that', 'a', 'robust', 'orbit', 'instability', 'exists', 'in', 'these', 'systems', 'for', 'orbits', 'initially', 'confined', 'to', 'any', 'of', 'the', 'three', 'principal', 'planes', 'the', 'motion', 'in', 'the', 'perpendicular', 'direction', 'can', 'be', 'unstable', 'we', 'discuss', 'the', 'range', 'of', 'parameter', 'space', 'for', 'which', 'these', 'orbits', 'are', 'unstable', 'find', 'the', 'growth', 'rates', 'and', 'saturation', 'levels', 'of', 'the', 'instability', 'and', 'develop', 'a', 'set', 'of', 'analytic', 'model', 'equations', 'that', 'elucidate', 'the', 'essential', 'physics', 'of', 'the', 'instability', 'mechanism', 'this', 'orbit', 'instability', 'has', 'a', 'large', 'number', 'of', 'astrophysical', 'implications', 'and', 'applications', 'including', 'understanding', 'the', 'formation', 'of', 'dark', 'matter', 'halos', 'the', 'structure', 'of', 'galactic', 'bulges', 'the', 'survival', 'of', 'tidal', 'streams', 'and', 'the', 'early', 'evolution', 'of', 'embedded', 'star', 'clusters']] | [-0.17649743106780777, 0.11039829010228625, -0.11336942169564376, 0.09079601773340737, -0.0671961394746648, -0.02879815948210232, -0.02543413667961318, 0.3003750043689548, -0.22969754792537558, -0.29648661414653527, 0.06823345010139897, -0.22651303774035425, -0.12199053178309738, 0.19343247338212602, 0.016067828879320095, 0.014584631108982884, 0.04633357816428873, -0.0029335340516342553, -0.038695536623226355, -0.20794002373263704, 0.35571591283672443, 0.024483794145590092, 0.18239398641328428, -0.03946784738007296, 0.06603134370413778, -0.03645522314138286, 0.02070563987930127, -0.003529330015989561, -0.1988272859741767, 0.09652778179893859, 0.21210480548340074, 0.1100279474775717, 0.23928240285534894, -0.4129942253646996, -0.22076681542748325, 0.10174815555300969, 0.20831536770969572, 0.09094323013930876, -0.1201603184252075, -0.2518881624455955, 0.08059382360245203, -0.2062472566006792, -0.19938072342415933, -0.031082399047119784, 0.08691109002415824, 0.06212720141892075, -0.24871251198802133, 0.10656070213045905, 0.08452725017665273, 0.016820797592961262, -0.13638329727953985, -0.0792495128650392, -0.05125066439061392, 0.08959789996136733, 0.05777862329829793, 0.03833357516828191, 0.20209871349286848, -0.152220376066615, -0.03573864085148595, 0.41993401073030356, -0.02040090733943652, -0.1512566510723045, 0.21663224240499573, -0.19478036676125765, -0.12458888745089809, 0.12074874245942874, 0.20256112898830228, 0.11045768964671351, -0.10901798624961535, 0.10650000380806944, -0.013826545992012045, 0.151877081446311, 0.06273293597237665, 0.008855714149039644, 0.32144299484644606, 0.14290089691612734, 0.054679191615818544, 0.08867195474739076, -0.13093009864950042, -0.10675076413006941, -0.290042440076431, -0.1352701713306916, -0.08760295722541915, 0.028053285169217332, -0.11401621926127428, -0.17634160176807426, 0.37191168799118135, 0.0843964599777457, 0.22375442497154766, 0.015619727107937511, 0.28291981919835096, 0.07941545010853493, 0.05399708767358812, 0.10778424079008786, 0.263917111492489, 0.17021027358412896, 0.02887472688398985, -0.24826590311617006, 0.024835470060147153, 0.013121900388758649] |
708.3102 | Spontaneous symmetry breaking in amnestically induced persistence | We investigate a recently proposed non-Markovian random walk model
characterized by loss of memories of the recent past and amnestically induced
persistence. We report numerical and analytical results showing the complete
phase diagram, consisting of 4 phases, for this system: (i) classical
nonpersistence, (ii) classical persistence (iii) log-periodic nonpersistence
and (iv) log-periodic persistence driven by negative feedback. The first two
phases possess continuous scale invariance symmetry, however log-periodicity
breaks this symmetry. Instead, log-periodic motion satisfies discrete scale
invariance symmetry, with complex rather than real fractal dimensions. We find
for log-periodic persistence evidence not only of statistical but also of
geometric self-similarity.
| cond-mat.stat-mech | we investigate a recently proposed nonmarkovian random walk model characterized by loss of memories of the recent past and amnestically induced persistence we report numerical and analytical results showing the complete phase diagram consisting of 4 phases for this system i classical nonpersistence ii classical persistence iii logperiodic nonpersistence and iv logperiodic persistence driven by negative feedback the first two phases possess continuous scale invariance symmetry however logperiodicity breaks this symmetry instead logperiodic motion satisfies discrete scale invariance symmetry with complex rather than real fractal dimensions we find for logperiodic persistence evidence not only of statistical but also of geometric selfsimilarity | [['we', 'investigate', 'a', 'recently', 'proposed', 'nonmarkovian', 'random', 'walk', 'model', 'characterized', 'by', 'loss', 'of', 'memories', 'of', 'the', 'recent', 'past', 'and', 'amnestically', 'induced', 'persistence', 'we', 'report', 'numerical', 'and', 'analytical', 'results', 'showing', 'the', 'complete', 'phase', 'diagram', 'consisting', 'of', '4', 'phases', 'for', 'this', 'system', 'i', 'classical', 'nonpersistence', 'ii', 'classical', 'persistence', 'iii', 'logperiodic', 'nonpersistence', 'and', 'iv', 'logperiodic', 'persistence', 'driven', 'by', 'negative', 'feedback', 'the', 'first', 'two', 'phases', 'possess', 'continuous', 'scale', 'invariance', 'symmetry', 'however', 'logperiodicity', 'breaks', 'this', 'symmetry', 'instead', 'logperiodic', 'motion', 'satisfies', 'discrete', 'scale', 'invariance', 'symmetry', 'with', 'complex', 'rather', 'than', 'real', 'fractal', 'dimensions', 'we', 'find', 'for', 'logperiodic', 'persistence', 'evidence', 'not', 'only', 'of', 'statistical', 'but', 'also', 'of', 'geometric', 'selfsimilarity']] | [-0.1712288331403397, 0.18839726151432842, -0.08735372122842819, 0.07538803674979136, -0.07172611808404326, -0.18661358882673085, 0.032892368588072714, 0.3716055510449223, -0.26323281672783194, -0.24776049477979542, 0.10634110015584156, -0.21151648355647923, -0.22995409006718545, 0.1216316259186715, -0.01756799740716815, 0.04571531057357788, -0.0336547346948646, -0.01876003422308713, -0.08358148750383407, -0.18643626902718097, 0.30512757737946233, 0.01566517594270408, 0.30916034828755073, -0.016324781471630558, 0.11190733071416617, -0.011694492346141488, -0.05109015292488039, 0.054819965366041286, -0.1489906513717142, 0.06050848762504756, 0.10584453622344882, 0.06711287000216544, 0.19049195189028978, -0.42703780084848403, -0.22161961879581213, 0.10918638962088152, 0.1542105802288279, 0.09969407917000353, -0.06754943300969898, -0.32263055445626376, 0.06997534369118512, -0.17166024242062122, -0.18975898041389883, -0.12272055796580389, 0.0849895766749978, 0.019862237841243767, -0.22062074766959994, 0.15637018338980851, 0.11790138062089682, 0.15323778077494354, -0.03128733270568773, -0.05338886689743958, -0.02043338310904801, 0.0736931106261909, 0.030656530706910417, -0.05444596229121089, 0.09841985313105397, -0.09838369303848594, -0.16475175737403333, 0.35225446906872093, -0.03469932212916319, -0.12389917444437742, 0.18666736155748367, -0.1903973924930324, -0.1699981501372531, 0.14875614129938186, 0.09472317229025067, 0.03801012873183936, -0.09991816426161676, 0.09565738677803892, -0.00233040408231318, 0.19082970345392825, 0.06174257917329669, 0.059802780579775575, 0.17153586459811776, 0.15614758969284595, 0.021675277473405002, 0.13860503423726186, -0.05906214278773405, -0.19501683479640633, -0.3279281470924616, -0.11730076304636895, -0.17797822502907365, 0.09059935832410701, -0.12414910456587677, -0.18556428777985276, 0.4000538292527199, 0.09276673539658077, 0.1887363736797124, 0.10780992544954643, 0.21977951136417687, 0.125695005916059, 0.03632558830548078, 0.05734229151858017, 0.18952889582142235, 0.06384328063228167, 0.12480574111454189, -0.23270805665757507, 0.059854945667320865, 0.07407954570138826] |
708.3103 | Computer simulations on the sympatric speciation modes for the Midas
cichlid species complex | Cichlid fishes are one of the best model system for the study of evolution of
the species. Inspired by them, in this paper we simulated the splitting of a
single species into two separate ones via random mutations, with both
populations living together in sympatry, sharing the same habitat. We study the
ecological, mating and genetic conditions needed to reproduce the
polychromatism and polymorphism of three species of the Midas Cichlid species
complex. Our results show two scenarios for the A. Citrinellus speciation
process, one with and the other without disruptive natural selection. In the
first scenario, the ecological and genetic conditions are sufficient to create
two new species, while in the second the mating and genetic conditions must be
synchronized in order to control the velocity of genetic drift.
| q-bio.PE | cichlid fishes are one of the best model system for the study of evolution of the species inspired by them in this paper we simulated the splitting of a single species into two separate ones via random mutations with both populations living together in sympatry sharing the same habitat we study the ecological mating and genetic conditions needed to reproduce the polychromatism and polymorphism of three species of the midas cichlid species complex our results show two scenarios for the a citrinellus speciation process one with and the other without disruptive natural selection in the first scenario the ecological and genetic conditions are sufficient to create two new species while in the second the mating and genetic conditions must be synchronized in order to control the velocity of genetic drift | [['cichlid', 'fishes', 'are', 'one', 'of', 'the', 'best', 'model', 'system', 'for', 'the', 'study', 'of', 'evolution', 'of', 'the', 'species', 'inspired', 'by', 'them', 'in', 'this', 'paper', 'we', 'simulated', 'the', 'splitting', 'of', 'a', 'single', 'species', 'into', 'two', 'separate', 'ones', 'via', 'random', 'mutations', 'with', 'both', 'populations', 'living', 'together', 'in', 'sympatry', 'sharing', 'the', 'same', 'habitat', 'we', 'study', 'the', 'ecological', 'mating', 'and', 'genetic', 'conditions', 'needed', 'to', 'reproduce', 'the', 'polychromatism', 'and', 'polymorphism', 'of', 'three', 'species', 'of', 'the', 'midas', 'cichlid', 'species', 'complex', 'our', 'results', 'show', 'two', 'scenarios', 'for', 'the', 'a', 'citrinellus', 'speciation', 'process', 'one', 'with', 'and', 'the', 'other', 'without', 'disruptive', 'natural', 'selection', 'in', 'the', 'first', 'scenario', 'the', 'ecological', 'and', 'genetic', 'conditions', 'are', 'sufficient', 'to', 'create', 'two', 'new', 'species', 'while', 'in', 'the', 'second', 'the', 'mating', 'and', 'genetic', 'conditions', 'must', 'be', 'synchronized', 'in', 'order', 'to', 'control', 'the', 'velocity', 'of', 'genetic', 'drift']] | [-0.09915254549178783, 0.14757082500081095, -0.03072238482889675, 0.07070969469946754, -0.01785477369262408, -0.14516013602740943, 0.04446672156382914, 0.3568514174456516, -0.26890693468758686, -0.2821667769495102, 0.07907930241125295, -0.22229169469903268, -0.17448606178339335, 0.1369356623728804, -0.05939404533377716, -0.01815820373003445, 0.07019241990351546, 0.008299091429863539, 0.0680324710085101, -0.281668826689138, 0.33718500904635423, 0.009472101487012373, 0.24579316136678533, -0.015134224697710976, 0.11495905946422783, -0.05137041689170199, -0.04858197998588106, -0.0007937579667047849, -0.10305403377712956, 0.12707597386121514, 0.22865119960070365, 0.19933777030867836, 0.2934483979636478, -0.44336241183595526, -0.22459358779440028, 0.1409880582405816, 0.12723066600867444, 0.15855321469753686, -0.03930262950552066, -0.25859502688168534, 0.04812843331860171, -0.13533847063381615, -0.12526593223908947, -0.01992038505831881, -0.03529353397676632, 0.07355330277572475, -0.29148755303864915, 0.06038406348255064, 0.029238823274638327, 0.09566095600917285, -0.0901133137540744, -0.12505877556534306, -0.07348533599112655, 0.18832613756170585, 0.057231482139387585, -0.0575263315963278, 0.11569152240981422, -0.12244150650665342, -0.12900894257934795, 0.3809452195917921, -0.062325824163660094, -0.20782213897207782, 0.30688130382507567, -0.1544421731294798, -0.17661491979563992, 0.08065510578712241, 0.16726943210972148, 0.09016925497497949, -0.24627558972838054, -0.00786700046996379, -0.0022625566741067264, 0.12146275280974805, 0.07743707689500991, -0.02475085124255173, 0.18728868205041166, 0.18014916800893843, 0.08948031443333815, 0.1077767915128442, -0.07622799208773012, -0.15195823146680754, -0.22405996892069066, -0.16843913728925622, -0.09089330692465107, -0.02410768270714297, -0.09807058504081816, -0.14214318629912293, 0.4271697584051816, 0.13786766343354617, 0.214493014036663, 0.0473328806563384, 0.2837371185564229, 0.03498658318754418, 0.07760631154099154, -0.023950857829139936, 0.14894650819607907, 0.07163902030821653, 0.06960926869226294, -0.2852115053260821, 0.14101011762469415, 0.009833151105022619] |
708.3104 | Detecting a unique EBL signature with TeV gamma rays | We discuss prospects for detecting a spectral break in gamma-ray spectra of
blazars due to the extragalactic background light (EBL) density falling off
between the near and mid-IR. A measurable spectral change in the TeV spectra at
1 TeV could arise from a rapid or slow drop in the EBL density above ~1 micron.
This effect is mediated by the ratio of the near to mid-IR density of EBL. A
detection of such a spectral feature could become a clear signature of EBL
absorption. A non-detection would give a strong observational constraint to the
shape of the EBL spectrum. We present calculations estimating the sensitivity
of TeV telescopes for detecting such a break for blazar observations at
different redshifts.
| astro-ph | we discuss prospects for detecting a spectral break in gammaray spectra of blazars due to the extragalactic background light ebl density falling off between the near and midir a measurable spectral change in the tev spectra at 1 tev could arise from a rapid or slow drop in the ebl density above 1 micron this effect is mediated by the ratio of the near to midir density of ebl a detection of such a spectral feature could become a clear signature of ebl absorption a nondetection would give a strong observational constraint to the shape of the ebl spectrum we present calculations estimating the sensitivity of tev telescopes for detecting such a break for blazar observations at different redshifts | [['we', 'discuss', 'prospects', 'for', 'detecting', 'a', 'spectral', 'break', 'in', 'gammaray', 'spectra', 'of', 'blazars', 'due', 'to', 'the', 'extragalactic', 'background', 'light', 'ebl', 'density', 'falling', 'off', 'between', 'the', 'near', 'and', 'midir', 'a', 'measurable', 'spectral', 'change', 'in', 'the', 'tev', 'spectra', 'at', '1', 'tev', 'could', 'arise', 'from', 'a', 'rapid', 'or', 'slow', 'drop', 'in', 'the', 'ebl', 'density', 'above', '1', 'micron', 'this', 'effect', 'is', 'mediated', 'by', 'the', 'ratio', 'of', 'the', 'near', 'to', 'midir', 'density', 'of', 'ebl', 'a', 'detection', 'of', 'such', 'a', 'spectral', 'feature', 'could', 'become', 'a', 'clear', 'signature', 'of', 'ebl', 'absorption', 'a', 'nondetection', 'would', 'give', 'a', 'strong', 'observational', 'constraint', 'to', 'the', 'shape', 'of', 'the', 'ebl', 'spectrum', 'we', 'present', 'calculations', 'estimating', 'the', 'sensitivity', 'of', 'tev', 'telescopes', 'for', 'detecting', 'such', 'a', 'break', 'for', 'blazar', 'observations', 'at', 'different', 'redshifts']] | [-0.06090910392695991, 0.16432385180270723, -0.10364578049942977, 0.16097221736397063, -0.08705965938250057, -0.09619164978694014, 0.03443908254506395, 0.4517479848210551, -0.18196891410791846, -0.36585236988773867, 0.028654081669651724, -0.3186876634840204, 0.01467889325278459, 0.18591051957444796, -0.001207098603530341, -0.003849976688247769, 0.01625781164880247, -0.11100143936126172, -0.03778095533014784, -0.14611539277717658, 0.27540946297911034, 0.15254834006313517, 0.2220081205899483, 0.11299288632082087, 0.043426263645025234, -0.03784077730765488, -0.0732943430902953, -0.060681705777885536, -0.10078330514091655, 0.10249634155565325, 0.2541998873363022, 0.1139348392226115, 0.16514033581371843, -0.32716070120848967, -0.270104142825487, 0.141166709574769, 0.14075735401941322, 0.0633899545406594, -0.06800661302962098, -0.2926533935560274, 0.053154911642440225, -0.12260063549018457, -0.17443471156185916, 0.061573482803342974, 0.015515464271943108, -0.011442639203663884, -0.20810274798579576, 0.07828621626557673, 0.0003416621081722791, 0.07067681394438914, -0.08310057918595917, -0.07847823912058682, -0.033261068752270286, 0.019769754000555945, 0.05405164649905715, 0.028189106069567826, 0.16847009547524341, -0.19908834479068319, -0.08072585200092622, 0.35670986818541, -0.1294602763666889, 0.005104969431716604, 0.19103911623922215, -0.17696019190465326, -0.20475251832194313, 0.21691005136191593, 0.20417514939189835, 0.07372536073329256, -0.11523769263318982, 0.06322819649138167, 0.045559221707448805, 0.2380032291901963, 0.06697073017693117, 0.11229842788532, 0.3420793047378294, 0.1449550874139957, 0.08120285505585435, 0.08618803236226574, -0.27124222865555153, 0.08251436000314205, -0.3328514797221713, -0.06697143618303093, -0.17382955878577783, 0.16329938307122774, -0.11079169181358957, -0.12077025247409064, 0.42749126356079425, 0.14137206577202854, 0.26470487112641145, 0.045771768222711666, 0.3151793693341002, 0.13787556166502357, 0.044393324101453316, 0.05682132128203491, 0.38408668827609854, 0.08306742222596179, 0.09558264813346773, -0.18271111462366993, 0.02336354096255758, -0.02598429678649712] |
708.3105 | Weak subintegral closure of ideals | We describe some basic facts about the weak subintegral closure of ideals in
both the algebraic and complex-analytic settings. We focus on the analogy
between results on the integral closure of ideals and modules and the weak
subintegral closure of an ideal. We start by giving a geometric interpretation
of the Reid-Roberts-Singh criterion for when an element is weakly subintegral
over a subring. We give new characterizations of the weak subintegral closure
of an ideal. We associate with an ideal $I$ of a ring $A$ an ideal $I_>$, which
consists of all elements of $A$ such that $v(a)>v(I)$, for all Rees valuations
$v$ of $I$. The ideal $I_>$ plays an important role in conditions from
stratification theory such as Whitney's condition A and Thom's condition $A_f$
and is contained in every reduction of $I$. We close with a valuative criterion
for when an element is in the weak subintegral closure of an ideal. For this,
we introduce a new closure operation for a pair of modules, which we call
relative closure.
| math.AC math.AG math.CV | we describe some basic facts about the weak subintegral closure of ideals in both the algebraic and complexanalytic settings we focus on the analogy between results on the integral closure of ideals and modules and the weak subintegral closure of an ideal we start by giving a geometric interpretation of the reidrobertssingh criterion for when an element is weakly subintegral over a subring we give new characterizations of the weak subintegral closure of an ideal we associate with an ideal i of a ring a an ideal i_ which consists of all elements of a such that vavi for all rees valuations v of i the ideal i_ plays an important role in conditions from stratification theory such as whitneys condition a and thoms condition a_f and is contained in every reduction of i we close with a valuative criterion for when an element is in the weak subintegral closure of an ideal for this we introduce a new closure operation for a pair of modules which we call relative closure | [['we', 'describe', 'some', 'basic', 'facts', 'about', 'the', 'weak', 'subintegral', 'closure', 'of', 'ideals', 'in', 'both', 'the', 'algebraic', 'and', 'complexanalytic', 'settings', 'we', 'focus', 'on', 'the', 'analogy', 'between', 'results', 'on', 'the', 'integral', 'closure', 'of', 'ideals', 'and', 'modules', 'and', 'the', 'weak', 'subintegral', 'closure', 'of', 'an', 'ideal', 'we', 'start', 'by', 'giving', 'a', 'geometric', 'interpretation', 'of', 'the', 'reidrobertssingh', 'criterion', 'for', 'when', 'an', 'element', 'is', 'weakly', 'subintegral', 'over', 'a', 'subring', 'we', 'give', 'new', 'characterizations', 'of', 'the', 'weak', 'subintegral', 'closure', 'of', 'an', 'ideal', 'we', 'associate', 'with', 'an', 'ideal', 'i', 'of', 'a', 'ring', 'a', 'an', 'ideal', 'i_', 'which', 'consists', 'of', 'all', 'elements', 'of', 'a', 'such', 'that', 'vavi', 'for', 'all', 'rees', 'valuations', 'v', 'of', 'i', 'the', 'ideal', 'i_', 'plays', 'an', 'important', 'role', 'in', 'conditions', 'from', 'stratification', 'theory', 'such', 'as', 'whitneys', 'condition', 'a', 'and', 'thoms', 'condition', 'a_f', 'and', 'is', 'contained', 'in', 'every', 'reduction', 'of', 'i', 'we', 'close', 'with', 'a', 'valuative', 'criterion', 'for', 'when', 'an', 'element', 'is', 'in', 'the', 'weak', 'subintegral', 'closure', 'of', 'an', 'ideal', 'for', 'this', 'we', 'introduce', 'a', 'new', 'closure', 'operation', 'for', 'a', 'pair', 'of', 'modules', 'which', 'we', 'call', 'relative', 'closure']] | [-0.17683642463119337, 0.04675893836789737, -0.07895975051580008, 0.04001691210160815, -0.05831409692102988, -0.09888250563161437, -0.017193642492439137, 0.316951230796572, -0.3508524090690902, -0.15378323396373011, 0.09636372592046681, -0.24306765005830125, -0.11757983654164351, 0.21985247353685622, -0.10211856946481403, -0.04852046625765823, 0.044340975955955285, 0.1067606962765374, -0.09794569067993152, -0.21989622133158523, 0.41178559825188044, 0.012678052590796228, 0.2010738056693116, 0.03564310983751939, 0.12894662053552636, 0.032402777912084166, 0.000905489995414336, 0.06258349176826915, -0.20306823770371824, 0.12695819047932683, 0.23439907633627838, 0.13927823301547995, 0.2610938035491744, -0.4025782323764436, -0.07474359566450516, 0.14034316757316398, 0.0757268581886572, 0.020873687413800784, -0.022221882583038914, -0.2044254080502636, 0.13682227149693924, -0.20002677409803582, -0.15902260575063262, -0.07095026014339642, 0.08881078453144862, 0.0372972039053955, -0.3370392228912055, -0.03617277211294724, 0.17539921284884183, 0.17814204709455592, -0.06780621024212365, -0.08024451860637244, 0.024961167356803926, 0.07817755544113171, -0.05949976744361707, -0.010687042195790794, 0.04411216718027611, -0.15385636393691704, -0.08897095304754006, 0.3870608700913261, -0.0806920677147938, -0.1858143799107511, 0.16494718183812923, -0.11887432721900869, -0.13518175096168408, 0.1072596135540981, 0.041583814426771636, 0.1098075066417588, -0.07989561160252782, 0.14056787456175004, -0.15843723506044002, 0.08203957998951533, 0.03720950685612328, 0.041842215159941, 0.1825150932769495, 0.14434774189956, 0.09704624998163482, 0.14552715682071915, -0.05111519476266567, -0.00028383122349279167, -0.41969245698677715, -0.263740234928393, -0.11221340686336335, 0.08132960252221343, -0.07875181881656812, -0.19730100245077228, 0.3999285867393634, 0.1033862659255781, 0.19449928049108334, 0.026640898283548962, 0.23952621963845025, 0.09139786048457522, 0.012368359448685801, 0.05933086051930778, 0.16170933407944207, 0.1904648980139562, -0.018182231678858886, -0.166302386887603, 0.034934096093449364, 0.17577877984597132] |
708.3106 | Rapidity gap survival in the black-disk regime | We summarize how the approach to the black-disk regime (BDR) of strong
interactions at TeV energies influences rapidity gap survival in exclusive hard
diffraction pp -> p + H + p (H = dijet, Qbar-Q, Higgs). Employing a recently
developed partonic description of such processes, we discuss (a) the
suppression of diffraction at small impact parameters by soft spectator
interactions in the BDR; (b) further suppression by inelastic interactions of
hard spectator partons in the BDR; (c) correlations between hard and soft
interactions. Hard spectator interactions substantially reduce the rapidity gap
survival probability at LHC energies compared to previously reported estimates.
| hep-ph | we summarize how the approach to the blackdisk regime bdr of strong interactions at tev energies influences rapidity gap survival in exclusive hard diffraction pp p h p h dijet qbarq higgs employing a recently developed partonic description of such processes we discuss a the suppression of diffraction at small impact parameters by soft spectator interactions in the bdr b further suppression by inelastic interactions of hard spectator partons in the bdr c correlations between hard and soft interactions hard spectator interactions substantially reduce the rapidity gap survival probability at lhc energies compared to previously reported estimates | [['we', 'summarize', 'how', 'the', 'approach', 'to', 'the', 'blackdisk', 'regime', 'bdr', 'of', 'strong', 'interactions', 'at', 'tev', 'energies', 'influences', 'rapidity', 'gap', 'survival', 'in', 'exclusive', 'hard', 'diffraction', 'pp', 'p', 'h', 'p', 'h', 'dijet', 'qbarq', 'higgs', 'employing', 'a', 'recently', 'developed', 'partonic', 'description', 'of', 'such', 'processes', 'we', 'discuss', 'a', 'the', 'suppression', 'of', 'diffraction', 'at', 'small', 'impact', 'parameters', 'by', 'soft', 'spectator', 'interactions', 'in', 'the', 'bdr', 'b', 'further', 'suppression', 'by', 'inelastic', 'interactions', 'of', 'hard', 'spectator', 'partons', 'in', 'the', 'bdr', 'c', 'correlations', 'between', 'hard', 'and', 'soft', 'interactions', 'hard', 'spectator', 'interactions', 'substantially', 'reduce', 'the', 'rapidity', 'gap', 'survival', 'probability', 'at', 'lhc', 'energies', 'compared', 'to', 'previously', 'reported', 'estimates']] | [-0.0775249961129937, 0.3051984951154511, -0.14350370119011374, 0.22563665299724364, -0.013491107823000741, -0.11315724295660008, 0.05668503425765744, 0.38049792867758764, -0.24102540692967392, -0.29534706614969164, -0.14668970228504083, -0.349091709999502, 0.014585898517026115, 0.029775798296767103, 0.09454261722311992, 0.11781128553539208, 0.09880913000016175, -0.04045005045235925, -0.010675763893757285, -0.19180604451355168, 0.29119454266637873, 0.09564424422329541, 0.1983302168106449, 0.21693213340663112, -0.01141645859197243, 0.18958580790125987, -0.026022644516695097, -0.034711993827494146, -0.13357631555283153, 0.009349678427019377, 0.2794974031906152, -0.021145466455863307, 0.16229532789630988, -0.37504667230910554, -0.13549030320862904, 0.0994984795502627, 0.1657933978215052, 0.02464524891525123, -0.019187809371379847, -0.2613493795170612, 0.038038869935673535, -0.2496115792177848, -0.12481395167673064, -0.08823635941851385, 0.006585984942071217, -0.03763965545126151, -0.3093033722966679, 0.12310393875195962, 0.014316897745695464, 0.006876296769424351, -0.014008508923165883, -0.17343345794769138, -0.028784013127658478, -0.02001250083030192, 0.13304351422858915, 0.07823647358022708, 0.1829138255591706, -0.21712479600322807, -0.19686147081425664, 0.3113297953164762, 0.0038293264566239007, -0.10506749364124976, 0.21515202795913846, -0.21281331045956342, -0.17214575480218477, 0.24712142440941684, 0.23420371422448108, 0.07359277316820376, -0.19476368907147767, 0.15680521237843947, 0.058856046796997186, 0.18061478689466556, 0.13338044957862688, 0.06745300225231834, 0.12625716802827322, 0.18609649770576314, -0.05816008825066317, 0.10766269637214154, -0.13583270255620256, -0.07157250078030161, -0.38550086760144564, 0.000664655268000266, -0.10471546730583477, 0.03682102111753883, -0.07228299707985007, -0.06010013848504762, 0.29401016672209057, 0.09595611117319348, 0.2899653058008233, -0.02398515751911807, 0.2909659981036309, 0.06855181048710629, 0.04743130007199463, 0.07713733249123103, 0.3414788195172075, 0.1658502635738054, 0.16073096181582852, -0.2811433472238558, 0.06999631826141753, 0.04185518405409818] |
708.3107 | On the generalised Selberg integral of Richards and Zheng | In a recent paper Richards and Zheng compute the determinant of a matrix
whose entries are given by beta-type integrals, thereby generalising an earlier
result by Dixon and Varchenko. They then use their result to obtain a
generalisation of the famous Selberg integral.
In this note we point out that the Selberg-generalisation of Richards and
Zheng is a special case of an integral over Jack polynomials due to Kadell. We
then show how an integral formula for Jack polynomials of Okounkov and
Olshanski may be applied to prove Kadell's integral along the lines of Richards
and Zheng.
| math.CA math.CO | in a recent paper richards and zheng compute the determinant of a matrix whose entries are given by betatype integrals thereby generalising an earlier result by dixon and varchenko they then use their result to obtain a generalisation of the famous selberg integral in this note we point out that the selberggeneralisation of richards and zheng is a special case of an integral over jack polynomials due to kadell we then show how an integral formula for jack polynomials of okounkov and olshanski may be applied to prove kadells integral along the lines of richards and zheng | [['in', 'a', 'recent', 'paper', 'richards', 'and', 'zheng', 'compute', 'the', 'determinant', 'of', 'a', 'matrix', 'whose', 'entries', 'are', 'given', 'by', 'betatype', 'integrals', 'thereby', 'generalising', 'an', 'earlier', 'result', 'by', 'dixon', 'and', 'varchenko', 'they', 'then', 'use', 'their', 'result', 'to', 'obtain', 'a', 'generalisation', 'of', 'the', 'famous', 'selberg', 'integral', 'in', 'this', 'note', 'we', 'point', 'out', 'that', 'the', 'selberggeneralisation', 'of', 'richards', 'and', 'zheng', 'is', 'a', 'special', 'case', 'of', 'an', 'integral', 'over', 'jack', 'polynomials', 'due', 'to', 'kadell', 'we', 'then', 'show', 'how', 'an', 'integral', 'formula', 'for', 'jack', 'polynomials', 'of', 'okounkov', 'and', 'olshanski', 'may', 'be', 'applied', 'to', 'prove', 'kadells', 'integral', 'along', 'the', 'lines', 'of', 'richards', 'and', 'zheng']] | [-0.11630935463229737, 0.01715764523563242, -0.11565036522612597, 0.04842591750396726, -0.11043422680813819, -0.08081272217289855, 0.02795857888365087, 0.29533414032387856, -0.27027559518561856, -0.21214895070685694, 0.12483204454717149, -0.26002002185608336, -0.22914662439143285, 0.2299649317477209, -0.17671189443596327, 0.028031173492005717, 0.02737294512189692, -0.015442029349893952, -0.0894193444631431, -0.322981034150871, 0.3503811719128862, 0.054366556326082595, 0.16502872246928746, 0.06480302130997491, 0.08317902770553094, 0.07067542108901155, -0.10407404306170065, -0.05716845618250469, -0.15363128226401082, 0.15705468260663716, 0.2629976280052991, 0.07002491120086536, 0.2245612958649872, -0.3521216999603591, -0.12644556008550958, 0.10724578271037899, 0.15529800817845776, 0.04675113417518636, 0.0291818997526813, -0.30221132338192547, 0.02886901713933791, -0.19238303652673494, -0.2339459078696867, -0.08317279845505254, 0.07398110396995132, 0.07444959023268893, -0.3041615676387058, 0.03821656530878196, 0.11769405401719268, 0.0598796955406821, -0.03615168087708298, -0.15573445292344937, 0.03029186316416599, 0.030075935709949892, 0.03585933466335215, 0.05791571149893571, -0.009328073870468264, -0.09184180183365243, -0.1446186951264584, 0.30184677156891365, -0.049722210972428606, -0.21398563203789914, 0.08098957269946065, -0.1223451987025328, -0.17034213541289014, 0.11259399128054308, 0.052380084234755486, 0.15770046561859394, -0.11913344754248101, 0.11908638047255711, -0.16512696988259754, 0.02576050712529347, 0.16495794649138892, -0.07809260860813083, 0.11231131221090133, -0.037464925671883975, 0.011993451305897906, 0.19468722251076542, 0.007914542497019283, -0.0819499899080256, -0.2792761813228329, -0.22975327533883197, -0.22580824631343907, 0.1228398549889486, -0.07757384016607223, -0.16283121721547408, 0.3591100377573942, 0.0958925918348541, 0.18953216052129088, 0.11247813133134817, 0.16838612478992823, 0.16489964457044456, 0.012634248819570834, 0.05074534570788577, 0.14513653553634262, 0.24876906017016154, 0.10865360646979146, -0.1592269357012507, 0.0033536953766694446, 0.2223046483413782] |
708.3108 | Plasmonic Bragg Reflectors for Subwavelength Hole Arrays in a Metal Film | We present plasmonic Bragg reflectors for increasing the extraordinary
optical transmission through periodic arrays of subwavelength apertures in a
metal film. The increase in transmission arises by preventing loss at the edges
of the array. The plasmonic Bragg reflectors have periodicity of half the usual
array's periodicity. Nano-hole arrays flanked thus by reflectors exchibited
double the transmission as compared to the arrays without reflectors. These
structures may also be used to isolate devices in plasmonic integrated
circuits.
| physics.optics | we present plasmonic bragg reflectors for increasing the extraordinary optical transmission through periodic arrays of subwavelength apertures in a metal film the increase in transmission arises by preventing loss at the edges of the array the plasmonic bragg reflectors have periodicity of half the usual arrays periodicity nanohole arrays flanked thus by reflectors exchibited double the transmission as compared to the arrays without reflectors these structures may also be used to isolate devices in plasmonic integrated circuits | [['we', 'present', 'plasmonic', 'bragg', 'reflectors', 'for', 'increasing', 'the', 'extraordinary', 'optical', 'transmission', 'through', 'periodic', 'arrays', 'of', 'subwavelength', 'apertures', 'in', 'a', 'metal', 'film', 'the', 'increase', 'in', 'transmission', 'arises', 'by', 'preventing', 'loss', 'at', 'the', 'edges', 'of', 'the', 'array', 'the', 'plasmonic', 'bragg', 'reflectors', 'have', 'periodicity', 'of', 'half', 'the', 'usual', 'arrays', 'periodicity', 'nanohole', 'arrays', 'flanked', 'thus', 'by', 'reflectors', 'exchibited', 'double', 'the', 'transmission', 'as', 'compared', 'to', 'the', 'arrays', 'without', 'reflectors', 'these', 'structures', 'may', 'also', 'be', 'used', 'to', 'isolate', 'devices', 'in', 'plasmonic', 'integrated', 'circuits']] | [-0.23573926849731883, 0.14498330840203716, 0.007284313948874019, -0.03301587218639294, -0.03984279647518538, -0.17362703182612008, 0.04851141346826855, 0.5516370054285386, -0.2588087000185624, -0.3073970388228956, 0.09448724147698254, -0.3228937829967196, -0.18770576013546242, 0.21647447582922483, -0.013595045115308542, 0.0932804431588585, 0.017155058351100275, -0.15677150379327176, -0.017772297374904156, -0.1449083204436312, 0.23024662411281546, 0.07477025720168297, 0.3419572996147173, -0.016574166923467266, 0.01896079730144457, 0.07105708470044192, 0.06998837987990364, -0.014062654894874677, -0.03481332913016606, 0.13488278756726926, 0.29025260721774476, -0.07821648610804818, 0.189107142707431, -0.5376583308863797, -0.23770037105944203, 0.005698959772033911, 0.22568919083201572, 0.09697519931145698, -0.0711705997099144, -0.2682789350418668, 0.06836752506512168, -0.06865844777846512, -0.19904477498168585, 0.07062301981434423, -0.07273201159152545, 0.07161513435972952, -0.1866518126947707, -0.0823605691337817, 0.03161251699968584, 0.03950274416389508, 0.01190563764688896, -0.07389251134162278, 0.0004237716110717309, 0.030189946606314105, -0.09395722054729336, -0.1319897806924449, 0.15772065910584243, -0.07228049268259813, -0.14324809627999602, 0.36535630061438207, -0.031032325185247157, -0.12122283951918546, 0.116250765764179, -0.20124157801221468, 0.10651102760120441, 0.2541502906426199, 0.21919997484962406, 0.038291028382158594, -0.09222018244480223, -0.014179426260709175, -0.03011111564640152, 0.21831197720817536, 0.2626601522420778, 0.16223347516375056, 0.31179439050978736, 0.21399397099096523, 0.08564532250104669, 0.1877361510031685, -0.16593054434480636, 0.07278323689120282, -0.18581020446053068, -0.14336580986549197, -0.19330788456442716, 0.02400620644421954, -0.12362354774162859, -0.2575222052584745, 0.3176434203663743, 0.08824870271124191, 0.14343964371150114, -0.0018088137424599967, 0.34134149668419633, 0.11347114548889774, 0.22020858528680706, -0.08264594707687042, 0.29479573272769094, 0.19631694424223448, 0.15235138218849897, -0.24421870551611247, -0.016830223385783796, -0.0708905890534975] |
708.3109 | The reddest ISO-2MASS quasar | In the course of the NIR/MIR AGN search combining the 6.7 mu ISOCAM Parallel
Survey and 2MASS we have discovered 24 type-1 quasars about a third of which
are too red to be discriminated by optical/UV search techniques. Here we report
on a detailed case study of the reddest type-1 quasar of our sample (J2341) at
redshift z=0.236 with M_K=-25.8 and J-K=1.95. We performed spectroscopy in the
optical with VLT/FORS1 and in the MIR with Spitzer as well as NIR imaging with
ISPI at CTIO. The optical and NIR observations reveal a star forming
emission-line galaxy at the same redshift as the quasar with a projected linear
separation of 1.8 arcsec (6.7 kpc). The quasar and its companion are embedded
in diffuse extended continuum emission. Compared with its companion the quasar
exhibits redder optical-NIR colours, which we attribute to hot nuclear dust.
The MIR spectrum shows only few emission lines superimposed on a power-law
spectral energy distribution. However, the lack of strong FIR emission suggests
that our potentially interacting object contains much less gas and dust and is
in a stage different from dust reddened ULIRG-AGN like Mrk 231. The optical
spectrum shows signatures for reddening in the emission-lines and no
post-starburst stellar population is detected in the host galaxy of the quasar.
The optical continuum emission of the active nucleus appears absorbed and
diluted. Even the combination of absorption and host dilution is not able to
match J2341 with standard quasar templates. While the BLR shows only a rather
moderate absorption of E_(B-V)=0.3, the continuum shorter than 4500 AA requires
strong obscuration with E_(B-V)=0.7, exceeding the constraints from the low
upper limit on the 9.7 mu silicate absorption. This leads us to conclude that
the continuum of J2341 is intrinsically redder than that of typical quasars.
| astro-ph | in the course of the nirmir agn search combining the 67 mu isocam parallel survey and 2mass we have discovered 24 type1 quasars about a third of which are too red to be discriminated by opticaluv search techniques here we report on a detailed case study of the reddest type1 quasar of our sample j2341 at redshift z0236 with m_k258 and jk195 we performed spectroscopy in the optical with vltfors1 and in the mir with spitzer as well as nir imaging with ispi at ctio the optical and nir observations reveal a star forming emissionline galaxy at the same redshift as the quasar with a projected linear separation of 18 arcsec 67 kpc the quasar and its companion are embedded in diffuse extended continuum emission compared with its companion the quasar exhibits redder opticalnir colours which we attribute to hot nuclear dust the mir spectrum shows only few emission lines superimposed on a powerlaw spectral energy distribution however the lack of strong fir emission suggests that our potentially interacting object contains much less gas and dust and is in a stage different from dust reddened ulirgagn like mrk 231 the optical spectrum shows signatures for reddening in the emissionlines and no poststarburst stellar population is detected in the host galaxy of the quasar the optical continuum emission of the active nucleus appears absorbed and diluted even the combination of absorption and host dilution is not able to match j2341 with standard quasar templates while the blr shows only a rather moderate absorption of e_bv03 the continuum shorter than 4500 aa requires strong obscuration with e_bv07 exceeding the constraints from the low upper limit on the 97 mu silicate absorption this leads us to conclude that the continuum of j2341 is intrinsically redder than that of typical quasars | [['in', 'the', 'course', 'of', 'the', 'nirmir', 'agn', 'search', 'combining', 'the', '67', 'mu', 'isocam', 'parallel', 'survey', 'and', '2mass', 'we', 'have', 'discovered', '24', 'type1', 'quasars', 'about', 'a', 'third', 'of', 'which', 'are', 'too', 'red', 'to', 'be', 'discriminated', 'by', 'opticaluv', 'search', 'techniques', 'here', 'we', 'report', 'on', 'a', 'detailed', 'case', 'study', 'of', 'the', 'reddest', 'type1', 'quasar', 'of', 'our', 'sample', 'j2341', 'at', 'redshift', 'z0236', 'with', 'm_k258', 'and', 'jk195', 'we', 'performed', 'spectroscopy', 'in', 'the', 'optical', 'with', 'vltfors1', 'and', 'in', 'the', 'mir', 'with', 'spitzer', 'as', 'well', 'as', 'nir', 'imaging', 'with', 'ispi', 'at', 'ctio', 'the', 'optical', 'and', 'nir', 'observations', 'reveal', 'a', 'star', 'forming', 'emissionline', 'galaxy', 'at', 'the', 'same', 'redshift', 'as', 'the', 'quasar', 'with', 'a', 'projected', 'linear', 'separation', 'of', '18', 'arcsec', '67', 'kpc', 'the', 'quasar', 'and', 'its', 'companion', 'are', 'embedded', 'in', 'diffuse', 'extended', 'continuum', 'emission', 'compared', 'with', 'its', 'companion', 'the', 'quasar', 'exhibits', 'redder', 'opticalnir', 'colours', 'which', 'we', 'attribute', 'to', 'hot', 'nuclear', 'dust', 'the', 'mir', 'spectrum', 'shows', 'only', 'few', 'emission', 'lines', 'superimposed', 'on', 'a', 'powerlaw', 'spectral', 'energy', 'distribution', 'however', 'the', 'lack', 'of', 'strong', 'fir', 'emission', 'suggests', 'that', 'our', 'potentially', 'interacting', 'object', 'contains', 'much', 'less', 'gas', 'and', 'dust', 'and', 'is', 'in', 'a', 'stage', 'different', 'from', 'dust', 'reddened', 'ulirgagn', 'like', 'mrk', '231', 'the', 'optical', 'spectrum', 'shows', 'signatures', 'for', 'reddening', 'in', 'the', 'emissionlines', 'and', 'no', 'poststarburst', 'stellar', 'population', 'is', 'detected', 'in', 'the', 'host', 'galaxy', 'of', 'the', 'quasar', 'the', 'optical', 'continuum', 'emission', 'of', 'the', 'active', 'nucleus', 'appears', 'absorbed', 'and', 'diluted', 'even', 'the', 'combination', 'of', 'absorption', 'and', 'host', 'dilution', 'is', 'not', 'able', 'to', 'match', 'j2341', 'with', 'standard', 'quasar', 'templates', 'while', 'the', 'blr', 'shows', 'only', 'a', 'rather', 'moderate', 'absorption', 'of', 'e_bv03', 'the', 'continuum', 'shorter', 'than', '4500', 'aa', 'requires', 'strong', 'obscuration', 'with', 'e_bv07', 'exceeding', 'the', 'constraints', 'from', 'the', 'low', 'upper', 'limit', 'on', 'the', '97', 'mu', 'silicate', 'absorption', 'this', 'leads', 'us', 'to', 'conclude', 'that', 'the', 'continuum', 'of', 'j2341', 'is', 'intrinsically', 'redder', 'than', 'that', 'of', 'typical', 'quasars']] | [0.006946574104069716, 0.060353651184939114, -0.06717986982040543, 0.08442594778573595, -0.09823612396403686, -0.13397049163772223, 0.06010735778840534, 0.4963228798813836, -0.11258390146112422, -0.32906021387076256, 0.05921347565105652, -0.33562244908864963, 0.003799207827806012, 0.1664014848387605, -0.03184355156959428, -0.05702021487634885, 0.017378873849060398, -0.1330704923400726, -0.006650039683639382, -0.2307759740225012, 0.2677453829406015, 0.07657966160491873, 0.15872735295947193, -0.02169646003122639, 0.061066393759677706, -0.06495899527215261, -0.13350875383639818, -0.018735530363760657, -0.08707656484387581, 0.06956643758892142, 0.24295204962184494, 0.08879991548649545, 0.2034068101470173, -0.2768517709171903, -0.20836849134620214, 0.08128294497936375, 0.19889165721577673, 0.04491947396239106, -0.03492290966286359, -0.2684386011250669, 0.04919823286798863, -0.15202586746636995, -0.15108079528372056, 0.10300175658093334, 0.0352389342871677, 0.024705723321899017, -0.19677248739823858, 0.1438318668701446, 0.028317103031590657, 0.1568738475770576, -0.12412031574888456, -0.09629634184904054, -0.1055058241058525, 0.030447654544513456, -0.0245766556202482, 0.07462062928433565, 0.18342747551283425, -0.15069614238130918, -0.03703532699828398, 0.4261466009603154, -0.0968353643840782, 0.06792717852351285, 0.2564006320767335, -0.2274056211633198, -0.16728050608421544, 0.2185498721144703, 0.12508338909833036, 0.1260975563180188, -0.1299852135485595, -0.004803666126769504, -0.03898493325637007, 0.2945699408103126, 0.004730951099390888, 0.14820821987214192, 0.30794661065813195, 0.09415048647582326, 0.02659920792261785, 0.1433488244366435, -0.2704837990203021, 0.009472577352576034, -0.23391190072028703, -0.05151153245702373, -0.15959192986425677, 0.13400679928674866, -0.14830882197413578, -0.12209168663392439, 0.3568879360432298, 0.10537504935893151, 0.23691028416960075, 0.07311176563392288, 0.30889746906312626, 0.08842213776555069, 0.12954969353384987, 0.11137300161276768, 0.3677116858007233, 0.13344470560438676, 0.1016423636143291, -0.23718261913135583, 0.04284733967276296, -0.009749724332857685] |
708.311 | Rogers-Szego polynomials and Hall-Littlewood symmetric functions | We use Rogers-Szego polynomials to unify some well-known identities for
Hall-Littlewood symmetric functions due to Macdonald and Kawanaka.
| math.CO | we use rogersszego polynomials to unify some wellknown identities for halllittlewood symmetric functions due to macdonald and kawanaka | [['we', 'use', 'rogersszego', 'polynomials', 'to', 'unify', 'some', 'wellknown', 'identities', 'for', 'halllittlewood', 'symmetric', 'functions', 'due', 'to', 'macdonald', 'and', 'kawanaka']] | [-0.07289477106597689, 0.03737965593528417, -0.07355764435811175, 0.1693908376360519, -0.25039850485821563, -0.2078077888323201, -0.024221592272321384, 0.30989924797581303, -0.3681747176580959, -0.11419937304324573, 0.07722956244833767, -0.2482405122783449, -0.2782478007591433, 0.17414329325159392, -0.16343452584826285, 0.06001358349911041, -0.12223189143050048, -0.10391006318645345, -0.18140890843480723, -0.31274870604587096, 0.3647854117055734, -0.02684894214487738, 0.1560229951929715, 0.07360149826854467, 0.04078078285480539, 0.046677465136680335, -0.06522948250898884, -0.1964061361634069, -0.16701420903619793, 0.11643396916204235, 0.3222890529367659, 0.13351966502765814, 0.15166762109018034, -0.3816550560295582, 0.011281971974919239, 0.21633280063461927, 0.17367150965664122, 0.051573654636740685, -0.014965474243379302, -0.2608181449274222, 0.0013817574621902572, -0.2663992542851095, -0.24821335698167482, -0.21111835953262117, 0.055851968134649925, 0.1727057201270428, -0.37208188113032115, 0.07628178327447838, 0.07373971636924478, -0.0063614983422060805, 0.005690654015375508, -0.2771868175930447, 0.0966355595478995, -0.003326613016219603, 0.029281562711629603, 0.04437696592261394, -0.019242730069284637, -0.12001581906547977, -0.22271933913644817, 0.3390134071620802, 0.07308748033311632, -0.2921727314177487, 0.1453113616961572, -0.19565075553125805, -0.25158179965284133, 0.007665148108369774, 0.10370385895172755, 0.10089959711250332, -0.06995364764912261, 0.09191632001440869, -0.11056002726157506, -0.05401809325364108, 0.29079579148027634, 0.04041310270420379, 0.08971438339600961, -0.2612333646458056, -0.08979530580755737, 0.2697268912516948, 0.16493697992215553, -0.17314943992015389, -0.23850763456559637, -0.16735710369216072, -0.11068568689127763, 0.06617498925576608, -0.1879970820405611, -0.16853601795931658, 0.3991864514019754, 0.16954710008576512, 0.11777863796386454, 0.21930362061700887, 0.133383358311322, 0.17273505047584573, 0.1704746344540682, 0.004716047034081485, -0.0067893097148044035, 0.4104845012641615, 0.11630814843293694, -0.0704718196971549, -0.02059732587844741, 0.30823263624269104] |
708.3111 | Cohen-Macaulay, Shellable and unmixed clutters with a perfect matching
of K\"onig type | Let $\mathcal{C}$ be a clutter with a perfect matching $e_1,...,e_g$ of
K\"onig type and let $\Delta_\mathcal{C}$ be the Stanley-Reisner complex of the
edge ideal of $\mathcal{C}$. If all c-minors of $\mathcal{C}$ have a free
vertex and $\mathcal{C}$ is unmixed, we show that $\Delta_\mathcal{C}$ is pure
shellable. We are able to describe, in combinatorial and algebraic terms, when
$\Delta_\mathcal{C}$ is pure. If $\mathcal{C}$ has no cycles of length 3 or 4,
then it is shown that $\Delta_\mathcal{C}$ is pure if and only if
$\Delta_\mathcal{C}$ is pure shellable (in this case $e_i$ has a free vertex
for all $i$), and that $\Delta_\mathcal{C}$ is pure if and only if for any two
edges $f_1,f_2$ of $\mathcal{C}$ and for any $e_i$, one has that $f_1\cap
e_i\subset f_2\cap e_i$ or $f_2\cap e_i\subset f_1\cap e_i$. It is also shown
that this ordering condition implies that $\Delta_\mathcal{C}$ is pure
shellable, without any assumption on the cycles of $\mathcal{C}$. Then we prove
that complete admissible uniform clutters and their Alexander duals are
unmixed. In addition, the edge ideals of complete admissible uniform clutters
are facet ideals of shellable simplicial complexes, they are Cohen-Macaulay,
and they have linear resolutions. Furthermore if $ \mathcal{C}$ is admissible
and complete, then $\mathcal{C}$ is unmixed. We characterize certain conditions
that occur in a Cohen-Macaulay criterion for bipartite graphs of Herzog and
Hibi, and extend some results of Faridi--on the structure of unmixed simplicial
trees--to clutters with the K\"onig property without 3-cycles or 4-cycles.
| math.AC math.CO | let mathcalc be a clutter with a perfect matching e_1e_g of konig type and let delta_mathcalc be the stanleyreisner complex of the edge ideal of mathcalc if all cminors of mathcalc have a free vertex and mathcalc is unmixed we show that delta_mathcalc is pure shellable we are able to describe in combinatorial and algebraic terms when delta_mathcalc is pure if mathcalc has no cycles of length 3 or 4 then it is shown that delta_mathcalc is pure if and only if delta_mathcalc is pure shellable in this case e_i has a free vertex for all i and that delta_mathcalc is pure if and only if for any two edges f_1f_2 of mathcalc and for any e_i one has that f_1cap e_isubset f_2cap e_i or f_2cap e_isubset f_1cap e_i it is also shown that this ordering condition implies that delta_mathcalc is pure shellable without any assumption on the cycles of mathcalc then we prove that complete admissible uniform clutters and their alexander duals are unmixed in addition the edge ideals of complete admissible uniform clutters are facet ideals of shellable simplicial complexes they are cohenmacaulay and they have linear resolutions furthermore if mathcalc is admissible and complete then mathcalc is unmixed we characterize certain conditions that occur in a cohenmacaulay criterion for bipartite graphs of herzog and hibi and extend some results of faridion the structure of unmixed simplicial treesto clutters with the konig property without 3cycles or 4cycles | [['let', 'mathcalc', 'be', 'a', 'clutter', 'with', 'a', 'perfect', 'matching', 'e_1e_g', 'of', 'konig', 'type', 'and', 'let', 'delta_mathcalc', 'be', 'the', 'stanleyreisner', 'complex', 'of', 'the', 'edge', 'ideal', 'of', 'mathcalc', 'if', 'all', 'cminors', 'of', 'mathcalc', 'have', 'a', 'free', 'vertex', 'and', 'mathcalc', 'is', 'unmixed', 'we', 'show', 'that', 'delta_mathcalc', 'is', 'pure', 'shellable', 'we', 'are', 'able', 'to', 'describe', 'in', 'combinatorial', 'and', 'algebraic', 'terms', 'when', 'delta_mathcalc', 'is', 'pure', 'if', 'mathcalc', 'has', 'no', 'cycles', 'of', 'length', '3', 'or', '4', 'then', 'it', 'is', 'shown', 'that', 'delta_mathcalc', 'is', 'pure', 'if', 'and', 'only', 'if', 'delta_mathcalc', 'is', 'pure', 'shellable', 'in', 'this', 'case', 'e_i', 'has', 'a', 'free', 'vertex', 'for', 'all', 'i', 'and', 'that', 'delta_mathcalc', 'is', 'pure', 'if', 'and', 'only', 'if', 'for', 'any', 'two', 'edges', 'f_1f_2', 'of', 'mathcalc', 'and', 'for', 'any', 'e_i', 'one', 'has', 'that', 'f_1cap', 'e_isubset', 'f_2cap', 'e_i', 'or', 'f_2cap', 'e_isubset', 'f_1cap', 'e_i', 'it', 'is', 'also', 'shown', 'that', 'this', 'ordering', 'condition', 'implies', 'that', 'delta_mathcalc', 'is', 'pure', 'shellable', 'without', 'any', 'assumption', 'on', 'the', 'cycles', 'of', 'mathcalc', 'then', 'we', 'prove', 'that', 'complete', 'admissible', 'uniform', 'clutters', 'and', 'their', 'alexander', 'duals', 'are', 'unmixed', 'in', 'addition', 'the', 'edge', 'ideals', 'of', 'complete', 'admissible', 'uniform', 'clutters', 'are', 'facet', 'ideals', 'of', 'shellable', 'simplicial', 'complexes', 'they', 'are', 'cohenmacaulay', 'and', 'they', 'have', 'linear', 'resolutions', 'furthermore', 'if', 'mathcalc', 'is', 'admissible', 'and', 'complete', 'then', 'mathcalc', 'is', 'unmixed', 'we', 'characterize', 'certain', 'conditions', 'that', 'occur', 'in', 'a', 'cohenmacaulay', 'criterion', 'for', 'bipartite', 'graphs', 'of', 'herzog', 'and', 'hibi', 'and', 'extend', 'some', 'results', 'of', 'faridion', 'the', 'structure', 'of', 'unmixed', 'simplicial', 'treesto', 'clutters', 'with', 'the', 'konig', 'property', 'without', '3cycles', 'or', '4cycles']] | [-0.1570420459545254, 0.15639151223857917, -0.052982972475281186, 0.03317110316358165, -0.07115269724308111, -0.21452604082624496, -0.04842726971677557, 0.40547036592681857, -0.3264502445337521, -0.17289814531729927, 0.11145500109762799, -0.27606591862915125, -0.12876377341349704, 0.07509953401145, -0.16131629097157496, -0.06195672185416435, 0.13857334254331902, 0.11703445881353, -0.029369088204435987, -0.3335263133872561, 0.37815970500247903, -0.04637512074088003, 0.1923471832018565, 0.1058516351965675, 0.08470135624822321, 0.009328212336877027, 0.0283484845961074, 0.10303350114039914, -0.19982121401394243, 0.06829161052673437, 0.2980766390983064, 0.1726836872106117, 0.16820129305103948, -0.39388875503883003, -0.10738568437310123, 0.2967455098527488, 0.08509392827326294, 0.03256856034587109, 0.03305939014230379, -0.1611512892800241, 0.24308968496236413, -0.16234012322264468, -0.12273027902412102, -0.04863367678687042, 0.12128330341755823, -0.010236206182581678, -0.3176566069881131, -0.02132973127897247, 0.19621023236200474, 0.08737597314795423, 0.0070320101430452545, -0.10113692618082948, -0.16729508507712113, 0.043965847711978624, -0.11663389991964804, 0.03310491175158966, 0.039017363091499654, -0.13112108419673704, -0.13323081529640296, 0.37245293997032936, -0.009057565248575403, -0.23063735479049743, 0.14727705216399237, -0.1745347626604888, -0.13820223144751742, 0.1390126486894508, -0.02929358366128529, 0.18792330217649386, -0.030055481813988837, 0.1850946032814275, -0.18314577923583347, 0.064883453622013, 0.15599485931564203, 0.041157742644513766, 0.14193791921217988, 0.054237176882770056, 0.1258659721392829, 0.1731493066036545, 0.019585366624175655, 0.05177475704036767, -0.3350357260782776, -0.16202534392565554, -0.18063815067599498, 0.1461407738375807, -0.12002098639256739, -0.1789330910984325, 0.3656178300948122, 0.07919266283528383, 0.13344048617680163, 0.10405307191964971, 0.21268887822739943, 0.018908415095449535, 0.0208878501849127, 0.15255533929255397, 0.14995220673891235, 0.20702231650425765, -0.08823699852671295, -0.10508483370123471, 0.08184912896767975, 0.138792605875426] |
708.3112 | Near-infrared VLT adaptive optics imaging of evolved stars | The high angular resolution and dynamic range achieved by the NACO adaptive
optics system on the VLT is an excellent tool to study the morphology of
Planetary Nebulae (PNe). We observed four stars in different evolutionary
stages from the AGB to the PNe phase.
The images of the inner parts of the PN Hen 2-113 reveal the presence of a
dusty torus tilted with respect to all the other structures of the nebula and
the present of hot dust close to the hot central star. The NACO observations of
Roberts 22 reveal an amazingly complex nebular morphology with a S-shape that
can be interpreted in terms of the 'warped disc' scenario of Icke (2003).
Combined NACO and MIDI (the VLTI mid-infrared interferometer) observations of
the nebula OH 231.8+4.2 have enabled us to resolve a very compact (diameter of
30-40 mas, corresponding to 40-50 a.u.) dusty structure in the core of the
nebula. Finally, recent observations of the AGB star V Hydrae show that this
star present a departure from spherical symmetry in its inner shell and is
probably on its way to become an asymmetrical planetary nebula. These
observations show that NACO is a great instrument for the discovery and study
of small structures in circumstellar envelopes and PNe and a good complement to
interferometric devices.
| astro-ph | the high angular resolution and dynamic range achieved by the naco adaptive optics system on the vlt is an excellent tool to study the morphology of planetary nebulae pne we observed four stars in different evolutionary stages from the agb to the pne phase the images of the inner parts of the pn hen 2113 reveal the presence of a dusty torus tilted with respect to all the other structures of the nebula and the present of hot dust close to the hot central star the naco observations of roberts 22 reveal an amazingly complex nebular morphology with a sshape that can be interpreted in terms of the warped disc scenario of icke 2003 combined naco and midi the vlti midinfrared interferometer observations of the nebula oh 231842 have enabled us to resolve a very compact diameter of 3040 mas corresponding to 4050 au dusty structure in the core of the nebula finally recent observations of the agb star v hydrae show that this star present a departure from spherical symmetry in its inner shell and is probably on its way to become an asymmetrical planetary nebula these observations show that naco is a great instrument for the discovery and study of small structures in circumstellar envelopes and pne and a good complement to interferometric devices | [['the', 'high', 'angular', 'resolution', 'and', 'dynamic', 'range', 'achieved', 'by', 'the', 'naco', 'adaptive', 'optics', 'system', 'on', 'the', 'vlt', 'is', 'an', 'excellent', 'tool', 'to', 'study', 'the', 'morphology', 'of', 'planetary', 'nebulae', 'pne', 'we', 'observed', 'four', 'stars', 'in', 'different', 'evolutionary', 'stages', 'from', 'the', 'agb', 'to', 'the', 'pne', 'phase', 'the', 'images', 'of', 'the', 'inner', 'parts', 'of', 'the', 'pn', 'hen', '2113', 'reveal', 'the', 'presence', 'of', 'a', 'dusty', 'torus', 'tilted', 'with', 'respect', 'to', 'all', 'the', 'other', 'structures', 'of', 'the', 'nebula', 'and', 'the', 'present', 'of', 'hot', 'dust', 'close', 'to', 'the', 'hot', 'central', 'star', 'the', 'naco', 'observations', 'of', 'roberts', '22', 'reveal', 'an', 'amazingly', 'complex', 'nebular', 'morphology', 'with', 'a', 'sshape', 'that', 'can', 'be', 'interpreted', 'in', 'terms', 'of', 'the', 'warped', 'disc', 'scenario', 'of', 'icke', '2003', 'combined', 'naco', 'and', 'midi', 'the', 'vlti', 'midinfrared', 'interferometer', 'observations', 'of', 'the', 'nebula', 'oh', '231842', 'have', 'enabled', 'us', 'to', 'resolve', 'a', 'very', 'compact', 'diameter', 'of', '3040', 'mas', 'corresponding', 'to', '4050', 'au', 'dusty', 'structure', 'in', 'the', 'core', 'of', 'the', 'nebula', 'finally', 'recent', 'observations', 'of', 'the', 'agb', 'star', 'v', 'hydrae', 'show', 'that', 'this', 'star', 'present', 'a', 'departure', 'from', 'spherical', 'symmetry', 'in', 'its', 'inner', 'shell', 'and', 'is', 'probably', 'on', 'its', 'way', 'to', 'become', 'an', 'asymmetrical', 'planetary', 'nebula', 'these', 'observations', 'show', 'that', 'naco', 'is', 'a', 'great', 'instrument', 'for', 'the', 'discovery', 'and', 'study', 'of', 'small', 'structures', 'in', 'circumstellar', 'envelopes', 'and', 'pne', 'and', 'a', 'good', 'complement', 'to', 'interferometric', 'devices']] | [-0.08489277222042167, 0.034847012094186815, -0.11205788564456756, 0.014148183225459137, -0.12206300171741913, -0.06716501170032939, -0.014646337744455005, 0.4341287740441256, -0.1941141383809059, -0.3296866744315403, 0.07475989434846439, -0.2362130092825134, -0.0746003233416136, 0.16647167756806971, -0.08601995930427599, -0.03048104482735399, 0.15283545640102306, -0.11338378236044284, -0.022520921129170198, -0.22281478974382057, 0.2759158652882243, 0.125593358286938, 0.09697179763989393, -0.027365455850092476, 0.058576063246487876, -0.12670298583134143, -0.052963946398001074, -0.042866186076385336, -0.1484029809397112, 0.08972421926554552, 0.24836740688052636, 0.0993986690351956, 0.1726169833794323, -0.38850245645139797, -0.20395910457686284, -0.011880611185103569, 0.16547843409853794, -0.00757831163206246, -0.020301026193598328, -0.28702903254347484, 0.07740164760413558, -0.1951886052612302, -0.22371268335311553, 0.0731901716570868, 0.05759212752468451, 0.009106444337860096, -0.24728780897729488, 0.03416819909078524, 0.03269239624875576, 0.1284823635798814, -0.11234321110363411, -0.1162513972243814, -0.061546406418431635, 0.08351455959383139, -0.03604824397128162, 0.06767424265962355, 0.12371095078780728, -0.1485135389210353, -0.03695652853415976, 0.39580760680269017, -0.07148238369182489, -0.0031187826659270497, 0.2710674308234999, -0.26952115887516115, -0.16059142746637728, 0.18350639648107422, 0.13706878550177395, 0.1447257008576809, -0.12645818206920223, 0.018189460596037207, -0.04632733966938631, 0.20376118587676523, 0.08565370529716791, 0.08153367967149892, 0.3227997933276171, 0.12081810240308906, 0.02059287241346008, 0.15188886757674736, -0.2705801934783542, -0.07984842039688035, -0.21712967832681052, -0.13933043103925016, -0.13517836070955233, 0.06152878875389348, -0.1669318991578536, -0.12076490783284223, 0.32972660483142663, 0.08573041838961978, 0.22503781505795412, -0.04336837105206647, 0.29510953734997053, 0.030972436602162413, 0.10548622992409523, 0.09927361128895089, 0.32989641644147244, 0.20702115035355959, 0.1397852302377307, -0.2707041013682651, 0.06009152315849395, -0.024846497918804025] |
708.3113 | The $J$-matrix inverse scattering approach for coupled channels with
different thresholds | The inverse scattering method within the $J$-matrix approach to the two
coupled-channel problem is discussed. We propose a generalization of the
procedure to the case with different thresholds.
| quant-ph | the inverse scattering method within the jmatrix approach to the two coupledchannel problem is discussed we propose a generalization of the procedure to the case with different thresholds | [['the', 'inverse', 'scattering', 'method', 'within', 'the', 'jmatrix', 'approach', 'to', 'the', 'two', 'coupledchannel', 'problem', 'is', 'discussed', 'we', 'propose', 'a', 'generalization', 'of', 'the', 'procedure', 'to', 'the', 'case', 'with', 'different', 'thresholds']] | [-0.03190796077251434, 0.0392244804450976, -0.10074631464002388, 0.10014530491233538, -0.031032994189964875, -0.10953034219398562, 0.04650568137211459, 0.38519853952207733, -0.3046715019403824, -0.2706127435501133, 0.028128282133755938, -0.25917024474724065, -0.20785553833203657, 0.15041606560615556, 0.009409265717424984, 0.1454272491059133, 0.04361412354878017, 0.03082616294601134, -0.08759650637927864, -0.21573379595897027, 0.3839611099434218, 0.04085886380302587, 0.2926012361754796, 0.10935387727139252, 0.07979088388050773, 0.08444194264510381, 0.0005721698648163251, -0.033397582675596435, -0.09198385203490034, 0.157359799848304, 0.2411034920785044, 0.11530644393392972, 0.2509577747966562, -0.36311673486073104, -0.1902073688272919, 0.10482650875513043, 0.14917418759848391, 0.19611647512231553, 0.014621886491243328, -0.29422842929904747, 0.09442952501454524, -0.177675127583955, -0.15038920413436635, -0.03756612870243511, -0.05171466299465725, -0.08586130603881818, -0.30949366711346166, 0.06532407399000865, 0.018499642593919167, -0.05835260277620234, -0.09334564202332071, -0.1356812503155587, 0.14803073235920497, 0.034398044110275805, 0.061356008876048564, -0.029965985716054484, 0.08762919392237174, -0.04609160551003048, -0.11184798919462732, 0.41826861278553096, -0.01595789859337466, -0.26240293668316944, 0.16293340192974679, -0.06368745880068413, -0.08585676474363677, 0.10055180622397789, 0.1733347919902631, 0.16756794476948147, -0.20142640599182673, 0.07113389778948788, -0.05976985967052834, 0.08859542624226638, 0.028033571625461003, -0.06429636385291815, 0.0698956806611802, 0.2298947644553014, 0.015698430560795323, 0.18873711592251702, -0.15970906741651042, -0.11465792530881506, -0.3178069168435676, -0.051670468146247525, -0.14492639559986337, -0.03397192929073104, -0.06729499277259622, -0.15491889739808226, 0.39355512442333357, 0.1897070929075458, 0.2286634615489415, 0.06245157814451626, 0.32670319692364763, 0.20132657759157674, 0.050102525972761214, 0.025749138689466884, 0.22556514958185808, 0.18662156437390617, 0.06288542921122696, -0.2976646455146173, -0.041148695978336036, 0.164582668163348] |
708.3114 | Differential Twisted K-theory and Applications | In this paper, we develop differential twisted K-theory and define a twisted
Chern character on twisted K-theory which depends on a choice of connection and
curving on the twisting gerbe. We also establish the general Riemann-Roch
theorem in twisted K-theory and find some applications in the study of twisted
K-theory of compact simple Lie groups.
| math.KT math.DG | in this paper we develop differential twisted ktheory and define a twisted chern character on twisted ktheory which depends on a choice of connection and curving on the twisting gerbe we also establish the general riemannroch theorem in twisted ktheory and find some applications in the study of twisted ktheory of compact simple lie groups | [['in', 'this', 'paper', 'we', 'develop', 'differential', 'twisted', 'ktheory', 'and', 'define', 'a', 'twisted', 'chern', 'character', 'on', 'twisted', 'ktheory', 'which', 'depends', 'on', 'a', 'choice', 'of', 'connection', 'and', 'curving', 'on', 'the', 'twisting', 'gerbe', 'we', 'also', 'establish', 'the', 'general', 'riemannroch', 'theorem', 'in', 'twisted', 'ktheory', 'and', 'find', 'some', 'applications', 'in', 'the', 'study', 'of', 'twisted', 'ktheory', 'of', 'compact', 'simple', 'lie', 'groups']] | [-0.26424965042282234, 0.07549672942947258, -0.10735143792222847, 0.13472992716653442, -0.14675092670050535, -0.12430789255621759, 0.00640895168762654, 0.3864036311480132, -0.31838002320040354, -0.21816882565617562, 0.0897189948855984, -0.11608308086764406, -0.24714171004227617, 0.22552334144711494, -0.24221605712717229, -0.09805098352107135, 0.04296746066009456, 0.07756071219390089, -0.15150504250248725, -0.2066628017208793, 0.5191132030703804, -0.023543246158144692, 0.2642579707909714, 0.116470249064944, 0.04357572819360278, 0.050827446292069825, -0.04855049558999863, -0.069480210210366, -0.16839226873760874, 0.2074700151443143, 0.26812544412572276, -0.08578271660107104, 0.11272141113877296, -0.3960864251310175, -0.09765734928236766, 0.09056630777195096, 0.05742207053540783, -0.01282839837103066, -0.05983091201421551, -0.2835214515301314, 0.09293724884363738, -0.24565447135405108, -0.12965233237905935, -0.11822048049758781, 0.04012713823467493, -0.0036321989218281074, -0.17504821067506618, -0.016652026116869157, 0.030825596878474408, 0.16692695749754255, -0.11012174907055768, -0.003509361972101033, -0.08688640956851569, 0.10069593862545761, -0.020905125750736758, -0.017100867150690067, 0.1359626555561342, -0.09853368728654459, -0.17259251108731735, 0.36115056435492904, -0.056573263166302984, -0.2072406101294539, 0.0722251192751256, -0.17069702751257204, -0.28955954240465703, 0.07606819344853813, 0.0850944844159213, 0.2124524256045168, 0.0989057561721314, 0.15284387101525101, -0.17499861701031807, 0.050000904652882705, 0.0931319743310186, 0.0070462016526355664, 0.1776733940297907, 0.045736121047626845, 0.08152421270920472, 0.1711900558068671, 0.03505747397430241, -0.07022133276543834, -0.3478481646288525, -0.3023118934848092, -0.06447808083824136, 0.2498796294019981, -0.08860995194541332, -0.23265334351242267, 0.49792060709812425, 0.11006114956160838, 0.21174296726557343, 0.11069088674954732, 0.22827421580441296, 0.1191537351897833, 0.012245604819194837, 0.00720939634537155, 0.13005876805559224, 0.30117401301183483, 0.02458429586311633, -0.12356396490199999, -0.12809042767198248, 0.2725934206296436] |
708.3115 | Functional Time Evolution, Anomaly Potentials, and the Geometric Phase | A free quantum field in 1+1 dimensions admits unitary Schrodinger picture
dynamics along any foliation of spacetime by Cauchy curves. Kuchar showed that
the Schrodinger picture state vectors, viewed as functionals of spacelike
embeddings, satisfy a functional Schrodinger equation in which the generators
of time evolution are the scalar field energy-momentum densities with a
particular normal-ordering and with a (non-unique) c-number contribution. The
c-number contribution to the Schrodinger equation, called the ``anomaly
potential'', is needed to make the equation integrable in light of the
Schwinger terms present in the commutators of the normal-ordered
energy-momentum densities. Here we give a quantum geometric interpretation of
the anomaly potential. In particular, we show the anomaly potential corresponds
to the expression in a gauge of the natural connection on the bundle of vacuum
states over the space of embeddings of Cauchy curves into the spacetime. The
holonomy of this connection is the geometric phase associated with dynamical
evolution along a closed path in the space of embeddings generated by the
normal-ordered energy-momentum densities. The presence of the anomaly potential
in the functional Schrodinger equation provides a dynamical phase which removes
this holonomy, so that there is no net phase change for quantum transport
around closed loops in the space of embeddings.
| hep-th gr-qc math-ph math.MP | a free quantum field in 11 dimensions admits unitary schrodinger picture dynamics along any foliation of spacetime by cauchy curves kuchar showed that the schrodinger picture state vectors viewed as functionals of spacelike embeddings satisfy a functional schrodinger equation in which the generators of time evolution are the scalar field energymomentum densities with a particular normalordering and with a nonunique cnumber contribution the cnumber contribution to the schrodinger equation called the anomaly potential is needed to make the equation integrable in light of the schwinger terms present in the commutators of the normalordered energymomentum densities here we give a quantum geometric interpretation of the anomaly potential in particular we show the anomaly potential corresponds to the expression in a gauge of the natural connection on the bundle of vacuum states over the space of embeddings of cauchy curves into the spacetime the holonomy of this connection is the geometric phase associated with dynamical evolution along a closed path in the space of embeddings generated by the normalordered energymomentum densities the presence of the anomaly potential in the functional schrodinger equation provides a dynamical phase which removes this holonomy so that there is no net phase change for quantum transport around closed loops in the space of embeddings | [['a', 'free', 'quantum', 'field', 'in', '11', 'dimensions', 'admits', 'unitary', 'schrodinger', 'picture', 'dynamics', 'along', 'any', 'foliation', 'of', 'spacetime', 'by', 'cauchy', 'curves', 'kuchar', 'showed', 'that', 'the', 'schrodinger', 'picture', 'state', 'vectors', 'viewed', 'as', 'functionals', 'of', 'spacelike', 'embeddings', 'satisfy', 'a', 'functional', 'schrodinger', 'equation', 'in', 'which', 'the', 'generators', 'of', 'time', 'evolution', 'are', 'the', 'scalar', 'field', 'energymomentum', 'densities', 'with', 'a', 'particular', 'normalordering', 'and', 'with', 'a', 'nonunique', 'cnumber', 'contribution', 'the', 'cnumber', 'contribution', 'to', 'the', 'schrodinger', 'equation', 'called', 'the', 'anomaly', 'potential', 'is', 'needed', 'to', 'make', 'the', 'equation', 'integrable', 'in', 'light', 'of', 'the', 'schwinger', 'terms', 'present', 'in', 'the', 'commutators', 'of', 'the', 'normalordered', 'energymomentum', 'densities', 'here', 'we', 'give', 'a', 'quantum', 'geometric', 'interpretation', 'of', 'the', 'anomaly', 'potential', 'in', 'particular', 'we', 'show', 'the', 'anomaly', 'potential', 'corresponds', 'to', 'the', 'expression', 'in', 'a', 'gauge', 'of', 'the', 'natural', 'connection', 'on', 'the', 'bundle', 'of', 'vacuum', 'states', 'over', 'the', 'space', 'of', 'embeddings', 'of', 'cauchy', 'curves', 'into', 'the', 'spacetime', 'the', 'holonomy', 'of', 'this', 'connection', 'is', 'the', 'geometric', 'phase', 'associated', 'with', 'dynamical', 'evolution', 'along', 'a', 'closed', 'path', 'in', 'the', 'space', 'of', 'embeddings', 'generated', 'by', 'the', 'normalordered', 'energymomentum', 'densities', 'the', 'presence', 'of', 'the', 'anomaly', 'potential', 'in', 'the', 'functional', 'schrodinger', 'equation', 'provides', 'a', 'dynamical', 'phase', 'which', 'removes', 'this', 'holonomy', 'so', 'that', 'there', 'is', 'no', 'net', 'phase', 'change', 'for', 'quantum', 'transport', 'around', 'closed', 'loops', 'in', 'the', 'space', 'of', 'embeddings']] | [-0.19443124593662972, 0.141166010822039, -0.11409950206519649, 0.08534706807031706, -0.0838487949402292, -0.07061327257275735, -0.020359676419014948, 0.32375793158108196, -0.24130182841945674, -0.22206920134308544, 0.0426360303260485, -0.29645628662518975, -0.16478547330603796, 0.12725529263182972, -0.0359994156020671, 0.042432646262616926, 0.04638955552706828, 0.10425994031306735, -0.1328066273621657, -0.19780326367452614, 0.40142371530019216, -0.008414209924372822, 0.23989764120483745, 0.04041944981489672, 0.15505746009665122, 0.016779650797097884, 0.011146068634298869, 0.005664086668523803, -0.10927904233965485, 0.10357708080220689, 0.2109310234275957, 0.06789342667525049, 0.19489496553559665, -0.42064985629747026, -0.25741426589345373, 0.1265389136902556, 0.11832888514829287, 0.11060207462160969, -0.0599094231704088, -0.31381079482571517, 0.002274831309284709, -0.1281986138895874, -0.18685063672339733, -0.08531368447350707, 0.03247901910785496, -0.03587557024722874, -0.20122698927298188, 0.12276645143772813, 0.05348648825533247, 0.023066054256059284, -0.12665615309983635, -0.047949001136807286, -0.04046750737687096, 0.06150203417077805, 0.04153212669343746, 0.07736339137309055, 0.08122811490750831, -0.1530501015983738, -0.1231618940088997, 0.3893555775678442, -0.1015198281954902, -0.26640049746183564, 0.08270884545043039, -0.15337960248597074, -0.11304805356478273, 0.12812813563083392, 0.11141782568920637, 0.0936017498994867, -0.15803238125529212, 0.18863349781087083, -0.014215591216261907, 0.08717810586184839, 0.06442983177881959, 0.03948267461627425, 0.19961560210022555, 0.07620709385511416, 0.07262069500694816, 0.1270526698756747, -0.016374311660999064, -0.1585887855791671, -0.4107459197855658, -0.2251157681480194, -0.1524974541740879, 0.1259770378333197, -0.12467581611951972, -0.21086492129390078, 0.4152815911394728, 0.12430538457102966, 0.19804270076452965, 0.035257226046273744, 0.22924860620844192, 0.1586049653214047, 0.07316218905717782, 0.07549987974433804, 0.2018012353286579, 0.20233398497302607, 0.0972203774696018, -0.24485636297568392, -0.03661563766643333, 0.1446436691876267] |
708.3116 | Air fluorescence measurements in the spectral range 300-420 nm using a
28.5 GeV electron beam | Measurements are reported of the yield and spectrum of fluorescence, excited
by a 28.5 GeV electron beam, in air at a range of pressures of interest to
ultra-high energy cosmic ray detectors. The wavelength range was 300 - 420 nm.
System calibration has been performed using Rayleigh scattering of a nitrogen
laser beam. In atmospheric pressure dry air at 304 K the yield is 20.8 +/- 1.6
photons per MeV.
| astro-ph | measurements are reported of the yield and spectrum of fluorescence excited by a 285 gev electron beam in air at a range of pressures of interest to ultrahigh energy cosmic ray detectors the wavelength range was 300 420 nm system calibration has been performed using rayleigh scattering of a nitrogen laser beam in atmospheric pressure dry air at 304 k the yield is 208 16 photons per mev | [['measurements', 'are', 'reported', 'of', 'the', 'yield', 'and', 'spectrum', 'of', 'fluorescence', 'excited', 'by', 'a', '285', 'gev', 'electron', 'beam', 'in', 'air', 'at', 'a', 'range', 'of', 'pressures', 'of', 'interest', 'to', 'ultrahigh', 'energy', 'cosmic', 'ray', 'detectors', 'the', 'wavelength', 'range', 'was', '300', '420', 'nm', 'system', 'calibration', 'has', 'been', 'performed', 'using', 'rayleigh', 'scattering', 'of', 'a', 'nitrogen', 'laser', 'beam', 'in', 'atmospheric', 'pressure', 'dry', 'air', 'at', '304', 'k', 'the', 'yield', 'is', '208', '16', 'photons', 'per', 'mev']] | [-0.07684568304787665, 0.3211560518727364, -0.034285491339259726, 0.006981715417864239, 0.0700515323153334, -0.0998318425639916, 0.03798342866973732, 0.4700923537945046, -0.16787030175328255, -0.4568931944120456, 0.026587479538969037, -0.3754244922550724, 0.14101280373356798, 0.2551960399518173, 0.060238764333703065, 0.10752026690170169, 0.07817372685188756, -0.053335612273418945, -0.005401605616926271, -0.15349872665041508, 0.16755111761706168, 0.21201074977323195, 0.3012009464642581, 0.13735096893437646, 0.14791463091558613, -0.007023384739809176, 0.004388065762160455, -0.10055871043518624, -0.14466984035200714, -9.395791258772507e-05, 0.29082061162369105, 0.01386093399966793, 0.18927226006053388, -0.34216589209459286, -0.282343275119167, 0.04403960361035869, 0.09592495986726135, 0.015169505618841332, -0.05941466665278901, -0.21613976884605912, 0.0749611387933221, -0.13862457181162693, -0.12521535225952155, 0.10591300869333174, -0.02785049717161147, -0.00818359766237657, -0.2461635227150777, 0.07325009645565468, -0.0849429168875384, 0.1614449705435511, -0.06245826817672316, -0.18166725106557885, -0.018187951221240357, -0.004331173190353986, 0.008537202529088758, 0.054255468870157045, 0.2709281274172313, -0.03738188082078362, -0.023378687499858, 0.3917111981769695, -0.10161173202932867, 0.012795016176395994, 0.15923518899088615, -0.1925087658181677, -0.0004915991209118682, 0.37899746677345214, 0.15316891909905656, 0.07646252979140948, -0.1846745489849983, 0.012851820134742679, -0.00936525731402285, 0.23541985534350662, 0.22116846939795376, 0.03408503161935026, 0.20313306325389183, 0.18881887426387572, 0.03451947235118817, 0.0814946006576065, -0.2785133800113245, 0.08318330937832155, -0.21561307844925015, -0.12584257633288337, -0.13534993949510596, 0.09567887554808027, -0.0338329004450369, -0.04593391422017971, 0.37215889239793315, 0.08115918807657983, 0.13100765229148023, -0.0728917380740099, 0.27130692044053883, 0.07495946873849094, 0.031881669145899225, 0.0026912828085615356, 0.3509772941470146, 0.19439102357650614, 0.1936778208679136, -0.20172770571319715, -0.02658082526314127, -0.06138582927558352] |
708.3117 | Comments on the observation of quantum oscillations in cuprates | This paper comments on the recently reported quantum oscillations in
underdoped YBCO crystals. The implications to other experiments and some
hurdles to validating the proposed interpretation are discussed.
| cond-mat.str-el cond-mat.supr-con | this paper comments on the recently reported quantum oscillations in underdoped ybco crystals the implications to other experiments and some hurdles to validating the proposed interpretation are discussed | [['this', 'paper', 'comments', 'on', 'the', 'recently', 'reported', 'quantum', 'oscillations', 'in', 'underdoped', 'ybco', 'crystals', 'the', 'implications', 'to', 'other', 'experiments', 'and', 'some', 'hurdles', 'to', 'validating', 'the', 'proposed', 'interpretation', 'are', 'discussed']] | [-0.10565824397573513, 0.14397183127169097, -0.004653232604531305, 0.04081445308319027, -0.16834995137261494, -0.13827206487102167, 0.06668691043991462, 0.3416412184680147, -0.15164261763649328, -0.2881870931679649, 0.0926520816906954, -0.38073590620686965, -0.1973608528663005, 0.2862336365506053, -0.08926920339997325, 0.17320910797986602, 0.0426845324691385, -0.031228216364979744, -0.10243845366806324, -0.3154625106835738, 0.24645740186263407, 0.10677948595340629, 0.37270441092550755, 0.12973676754959992, 0.024735113639118417, -0.0860460228536145, -0.00938376338620271, 0.029195865117279545, -0.22565812598882726, 0.08278978502910052, 0.34993412491998505, -0.0006973518757149577, 0.2197634078828352, -0.4973732238369329, -0.2858626642597041, 0.008645780118448394, 0.12953797154062027, 0.15946266154891678, -0.15732351058977656, -0.3758859078266791, 0.04851723259447941, -0.08983300839151655, -0.09643148562671351, -0.10018738389979782, -0.0020579463203570674, -0.02883324831990259, -0.14803455909714103, 0.03095728367666847, 0.06849915918428451, 0.05453779614929642, -0.07592895344298865, -0.19424142123066954, 0.06738784222397953, -0.006262043948351804, 0.12393297050896633, -0.008986155618913472, 0.12225345628602165, -0.10738215072446369, -0.22114576778507658, 0.32169350928493906, 0.04704715497791767, -0.11467511867106493, 0.1637160816629018, -0.17163425061984786, -0.19043959289722676, -0.010276485966252429, 0.07776920703638877, 0.04914882293503199, -0.13220275422957325, 0.013931207651954278, -0.04358509452348309, 0.13924320028828724, 0.10772047768114135, 0.11339137410478932, 0.20552249232839262, 0.21243403392976948, -0.10849383287131786, 0.10967659651110548, -0.10147664344237585, -0.08174922224134207, -0.27521487882560386, -0.16767636074551515, -0.14744764869101346, -0.041554579885476936, 0.0337433641548809, -0.11746039394555348, 0.3978156663610467, 0.2731659156935556, 0.21096113507103706, -0.06746408655973417, 0.24330646062402853, 0.03464919830938535, 0.0291324666302119, -0.0031843960085617645, 0.2771512569213103, 0.14617762248963118, 0.15567601600196213, -0.2616570256650448, 0.10569043524031128, -0.006109416310209781] |
708.3118 | Phase Diffusion in Single-Walled Carbon Nanotube Josephson Transistors | We investigate electronic transport in Josephson junctions formed by
single-walled carbon nanotubes coupled to superconducting electrodes. We
observe enhanced zero-bias conductance (up to 10e^2/h) and pronounced
sub-harmonic gap structures in differential conductance, which arise from the
multiple Andreev reflections at superconductor/nanotube interfaces. The
voltage-current characteristics of these junctions display abrupt switching
from the supercurrent branch to resistive branch, with a gate-tunable switching
current ranging from 50 pA to 2.3 nA. The finite resistance observed on the
supercurrent branch and the magnitude of the switching current are in good
agreement with calculation based on the model of classical phase diffusion.
| cond-mat.mes-hall cond-mat.supr-con | we investigate electronic transport in josephson junctions formed by singlewalled carbon nanotubes coupled to superconducting electrodes we observe enhanced zerobias conductance up to 10e2h and pronounced subharmonic gap structures in differential conductance which arise from the multiple andreev reflections at superconductornanotube interfaces the voltagecurrent characteristics of these junctions display abrupt switching from the supercurrent branch to resistive branch with a gatetunable switching current ranging from 50 pa to 23 na the finite resistance observed on the supercurrent branch and the magnitude of the switching current are in good agreement with calculation based on the model of classical phase diffusion | [['we', 'investigate', 'electronic', 'transport', 'in', 'josephson', 'junctions', 'formed', 'by', 'singlewalled', 'carbon', 'nanotubes', 'coupled', 'to', 'superconducting', 'electrodes', 'we', 'observe', 'enhanced', 'zerobias', 'conductance', 'up', 'to', '10e2h', 'and', 'pronounced', 'subharmonic', 'gap', 'structures', 'in', 'differential', 'conductance', 'which', 'arise', 'from', 'the', 'multiple', 'andreev', 'reflections', 'at', 'superconductornanotube', 'interfaces', 'the', 'voltagecurrent', 'characteristics', 'of', 'these', 'junctions', 'display', 'abrupt', 'switching', 'from', 'the', 'supercurrent', 'branch', 'to', 'resistive', 'branch', 'with', 'a', 'gatetunable', 'switching', 'current', 'ranging', 'from', '50', 'pa', 'to', '23', 'na', 'the', 'finite', 'resistance', 'observed', 'on', 'the', 'supercurrent', 'branch', 'and', 'the', 'magnitude', 'of', 'the', 'switching', 'current', 'are', 'in', 'good', 'agreement', 'with', 'calculation', 'based', 'on', 'the', 'model', 'of', 'classical', 'phase', 'diffusion']] | [-0.2273516783975445, 0.1294899746616447, -0.010570564749175492, -0.022210183484498793, -0.006909933558912302, -0.18644309057188885, 0.11656197525646385, 0.4129620106387123, -0.26445269402073773, -0.32431263767410906, -0.04945230924248772, -0.3237152111963654, -0.1413431619959218, 0.21625769372354736, -0.009223978658953956, 0.006255796782634392, 0.01619796343717952, -0.05203602219722709, -0.0576633837226094, -0.14757733295994754, 0.281009027772412, -0.06233270443519767, 0.37087420644048524, 0.06604261615382488, 0.03293125593692672, -0.08538583304485953, 0.10615513832023253, 0.05159006010128033, -0.15249041319653697, 0.03581384844051636, 0.27869857095980216, -0.1954184087915156, 0.1139482236372269, -0.537616681915765, -0.14885711649846173, -0.0011402167325212183, 0.14818435130469806, 0.1475039795741952, -0.018215226886166752, -0.26236707761845723, 0.077032978689222, -0.11193843315621572, -0.06614219923313631, 0.0030069570983665026, -0.020990071545012902, 0.020386776402212526, -0.19807190337569966, 0.10398592923444752, 0.020789788806649417, 0.10520563677086361, -0.003484658070136698, -0.1468645730816132, -0.10155231344076443, 0.03160390020253099, -0.00015398148299974141, -0.015506468955617475, 0.2212755208483384, -0.1319846429645882, -0.1467201576986331, 0.23597772487876367, -0.1044589738475577, -0.017422420136649543, 0.17459540782562857, -0.19438645306841604, -0.009119518198624102, 0.19524660887438994, 0.09985722642040298, 0.07453875411159303, -0.16500134972323263, 0.006801009272006626, 0.061028045307540774, 0.1191277695719951, 0.13964905739258215, 0.07385623656450568, 0.2601208719710002, 0.23686243452093736, 0.04420584431678361, 0.11005258759749788, -0.15639037771829956, -0.09224958510651272, -0.2582034163363516, -0.13137843831898455, -0.11691023295327109, 0.13132758667111655, -0.047898934079911464, -0.24530524931543943, 0.4282974953364049, 0.1520599091974353, 0.2137398737653786, -0.019910047677754214, 0.24991124566663436, 0.1969665246160359, 0.10931003294714099, 0.024728447792823523, 0.23027424555157824, 0.2217094550807295, 0.17780755031188683, -0.3686451765789403, 0.07720227674248495, -0.05909687711154016] |
708.3119 | Detection of fidelity and multiparticle entanglement for arbitrary graph
states | withdrawn by the authors because of an error.
| quant-ph | withdrawn by the authors because of an error | [['withdrawn', 'by', 'the', 'authors', 'because', 'of', 'an', 'error']] | [-0.1120248157531023, -0.08911704183083202, -0.051461207680404186, -0.028530369279906154, -0.034761413000524044, -0.02113846456632018, 0.06282268709037453, 0.25568898022174835, -0.3380048223771155, -0.3927389325108379, 0.1172591750510037, -0.2983392346650362, -0.07453011628240347, 0.13353655044920743, -0.3949138855095953, 0.06327481102198362, 0.04039787780493498, -0.054439338855445385, -0.05444168428948615, -0.4315474387258291, 0.3189828544855118, 0.2535613854415715, 0.21797950519248843, 0.18436850875150412, 0.014565359335392714, -0.05266409780597314, -0.14683848642744124, -0.06821188575122505, -0.1492048790678382, 0.11185631202533841, 0.16501353401690722, 0.005908851511776447, 0.5141638964414597, -0.41366210381966084, -0.16096116043627262, 0.043238293495960534, 0.19383798306807876, 0.13846548041328788, -0.10533496993593872, -0.5240942994132638, 0.1612924970104359, -0.31482111872173846, -0.1322810075362213, 0.08389526000246406, 0.15311618195846677, -0.0963395587168634, -0.151874968316406, 0.12791945796925575, 0.21147745288908482, 0.25973468751180917, 0.05337089579552412, -0.2399706831201911, 0.042519309325143695, 0.19131534546613693, 0.2891337093897164, 0.06871308636618778, 0.010210200678557158, -0.15531384665519, -0.10746863903477788, 0.31275702151469886, 0.08947229210752994, -0.29099881602451205, -0.023735888302326202, 0.043294881645124406, -0.02683315332978964, 0.25557039212435484, 0.10543646659061778, 0.041796734323725104, -0.270480087492615, 0.12850798713043332, 0.04968550766352564, 0.30450509628281, 0.15447214746382087, -0.04636478703469038, 0.08900969102978706, 0.07977080903947353, 0.059740276425145566, 0.12644611031282693, 0.015612827613949776, 0.038002084009349346, -0.27757070399820805, -0.2080829944461584, -0.39917146041989326, 0.05528927408158779, 0.16578458645381033, -0.17760410904884338, 0.3477979935705662, 0.17946065496653318, 0.1430402109399438, -0.09074602136388421, 0.2891257731243968, 0.14159365381055977, 0.06876505864784122, 0.05418099043890834, 0.3806686997413635, 0.12362029918585904, 0.09531563590280712, -0.08768230862915516, 0.261334580660332, 0.23364628199487925] |
708.312 | Soliton Solution for the Spin Current in Ferromagnetic Nanowire | We investigate the interaction of a periodic solution and one-soliton
solution for the spin-polarized current in a uniaxial ferromagnetic nanowire.
The amplitude and wave number of the periodic solution for the spin current
have the different contribution to the width, velocity, and the amplitude of
soliton solution, respectively. Moreover, we found that the soliton can be
trapped only in space with a proper condition. At last we analyze the
modulation instability and discuss dark solitary wave propagation for the spin
current on the background of a periodic solution. In some special cases the
solution can be expressed by the linear combination of periodic solution and
soliton solution.
| cond-mat.other cond-mat.mtrl-sci | we investigate the interaction of a periodic solution and onesoliton solution for the spinpolarized current in a uniaxial ferromagnetic nanowire the amplitude and wave number of the periodic solution for the spin current have the different contribution to the width velocity and the amplitude of soliton solution respectively moreover we found that the soliton can be trapped only in space with a proper condition at last we analyze the modulation instability and discuss dark solitary wave propagation for the spin current on the background of a periodic solution in some special cases the solution can be expressed by the linear combination of periodic solution and soliton solution | [['we', 'investigate', 'the', 'interaction', 'of', 'a', 'periodic', 'solution', 'and', 'onesoliton', 'solution', 'for', 'the', 'spinpolarized', 'current', 'in', 'a', 'uniaxial', 'ferromagnetic', 'nanowire', 'the', 'amplitude', 'and', 'wave', 'number', 'of', 'the', 'periodic', 'solution', 'for', 'the', 'spin', 'current', 'have', 'the', 'different', 'contribution', 'to', 'the', 'width', 'velocity', 'and', 'the', 'amplitude', 'of', 'soliton', 'solution', 'respectively', 'moreover', 'we', 'found', 'that', 'the', 'soliton', 'can', 'be', 'trapped', 'only', 'in', 'space', 'with', 'a', 'proper', 'condition', 'at', 'last', 'we', 'analyze', 'the', 'modulation', 'instability', 'and', 'discuss', 'dark', 'solitary', 'wave', 'propagation', 'for', 'the', 'spin', 'current', 'on', 'the', 'background', 'of', 'a', 'periodic', 'solution', 'in', 'some', 'special', 'cases', 'the', 'solution', 'can', 'be', 'expressed', 'by', 'the', 'linear', 'combination', 'of', 'periodic', 'solution', 'and', 'soliton', 'solution']] | [-0.23060693962240555, 0.09683041475608806, -0.039998509973357216, 0.04754670119243805, -0.06836102970780056, -0.096373514202641, 0.011437468056645349, 0.3722394345171541, -0.27329048365093417, -0.22521401581432776, 0.1420773574788663, -0.2711693139542242, -0.11623898568067038, 0.1928355920903176, 0.055118025418710415, 0.05718014150788294, 0.06849280213850124, 0.05111933189278869, -0.05755481561515306, -0.1829858815371468, 0.32666769993674255, -0.0411183830768427, 0.2725747098502155, 0.05266227157107581, 0.09822378663572474, -0.0014035313381491421, 0.056653440198817545, 0.02442647970514304, -0.1728732022438465, 0.025587509732223422, 0.18736623125814475, 0.03853059061759404, 0.19954137878588218, -0.4546796539885418, -0.20350051655599447, 0.06707259493000875, 0.1768952083260378, 0.1975016780937456, -0.07090604617847913, -0.31226755650365884, 0.0695359743641968, -0.14453179537205496, -0.20796801352211944, -0.05248114819829918, 0.035015540684912805, 0.09808919302875473, -0.2448953885202096, 0.09427510167115202, 0.04840937505745999, -0.04328896461280985, -0.13723732397900285, -0.052607532216357854, -0.04695488112569551, 0.022831070376124894, 0.08395836646799172, 0.04615110991017841, 0.06108750160957608, -0.15790380749886282, -0.07603335233865453, 0.34283762355552655, -0.15470865254821342, -0.23977360709039408, 0.13352171855621806, -0.1430979567918835, -0.03518766813223886, 0.1701501994012968, 0.16376043932738704, 0.09290795998700033, -0.12385698220753502, 0.06589743742778044, -0.030468616538591873, 0.17244632091486356, 0.16198120066008279, 0.04259064969406507, 0.24696888027834557, 0.17153965241371472, 0.10625869874890337, 0.11918169939585865, -0.10330476377498811, -0.06892362292246701, -0.2958896341864194, -0.1566731348137641, -0.1650910113032942, 0.024958898660141504, -0.0913020053645324, -0.18020011558606525, 0.472190870446475, 0.10785159393796855, 0.12921227079111142, -0.00830869082465907, 0.2496047288257733, 0.18492777198150528, -0.00018433626375605013, 0.06143953963226386, 0.29826072335953685, 0.13431978663734256, 0.12035297604591072, -0.2840329793316669, 0.0007044649682939053, 0.045884230626729604] |
708.3121 | Holographic dark energy in a cyclic universe | In this paper we study the cosmological evolution of the holographic dark
energy in a cyclic universe, generalizing the model of holographic dark energy
proposed by Li. The holographic dark energy with $c<1$ can realize a quintom
behavior; namely, it evolves from a quintessence-like component to a
phantom-like one. The holographic phantom energy density grows rapidly and
dominates the late-time expanding phase, helping realize a cyclic universe
scenario in which the high energy regime is modified by the effects of quantum
gravity, causing a turnaround (and a bounce) of the universe. The dynamical
evolution of holographic dark energy in the regimes of low energy and high
energy is governed by two differential equations, respectively. It is of
importance to link the two regimes for this scenario. We propose a link
condition giving rise to a complete picture of holographic evolution of a
cyclic universe.
| hep-th astro-ph gr-qc hep-ph | in this paper we study the cosmological evolution of the holographic dark energy in a cyclic universe generalizing the model of holographic dark energy proposed by li the holographic dark energy with c1 can realize a quintom behavior namely it evolves from a quintessencelike component to a phantomlike one the holographic phantom energy density grows rapidly and dominates the latetime expanding phase helping realize a cyclic universe scenario in which the high energy regime is modified by the effects of quantum gravity causing a turnaround and a bounce of the universe the dynamical evolution of holographic dark energy in the regimes of low energy and high energy is governed by two differential equations respectively it is of importance to link the two regimes for this scenario we propose a link condition giving rise to a complete picture of holographic evolution of a cyclic universe | [['in', 'this', 'paper', 'we', 'study', 'the', 'cosmological', 'evolution', 'of', 'the', 'holographic', 'dark', 'energy', 'in', 'a', 'cyclic', 'universe', 'generalizing', 'the', 'model', 'of', 'holographic', 'dark', 'energy', 'proposed', 'by', 'li', 'the', 'holographic', 'dark', 'energy', 'with', 'c1', 'can', 'realize', 'a', 'quintom', 'behavior', 'namely', 'it', 'evolves', 'from', 'a', 'quintessencelike', 'component', 'to', 'a', 'phantomlike', 'one', 'the', 'holographic', 'phantom', 'energy', 'density', 'grows', 'rapidly', 'and', 'dominates', 'the', 'latetime', 'expanding', 'phase', 'helping', 'realize', 'a', 'cyclic', 'universe', 'scenario', 'in', 'which', 'the', 'high', 'energy', 'regime', 'is', 'modified', 'by', 'the', 'effects', 'of', 'quantum', 'gravity', 'causing', 'a', 'turnaround', 'and', 'a', 'bounce', 'of', 'the', 'universe', 'the', 'dynamical', 'evolution', 'of', 'holographic', 'dark', 'energy', 'in', 'the', 'regimes', 'of', 'low', 'energy', 'and', 'high', 'energy', 'is', 'governed', 'by', 'two', 'differential', 'equations', 'respectively', 'it', 'is', 'of', 'importance', 'to', 'link', 'the', 'two', 'regimes', 'for', 'this', 'scenario', 'we', 'propose', 'a', 'link', 'condition', 'giving', 'rise', 'to', 'a', 'complete', 'picture', 'of', 'holographic', 'evolution', 'of', 'a', 'cyclic', 'universe']] | [-0.19696583995311004, 0.17397406130395313, -0.18143049970320943, 0.10784730520309596, -0.09019451357663558, -0.1496128144378114, -0.020508266759861726, 0.2561426555039361, -0.2251767657451435, -0.31324940036413157, 0.030549142192790493, -0.23440470347284442, -0.0691637274576351, 0.12401816725388118, -0.007124399300664663, -0.015334324595945267, -0.01999126753071323, 0.026589017924076568, -0.06256254124067102, -0.22679433662496093, 0.3709757449493433, 0.11061751699324102, 0.2834923430928029, 0.04640653745850108, 0.12444979328817378, -0.061758998930195555, 0.008157800537042527, 0.033985763221709125, -0.22061525807819432, 0.034181317844842046, 0.21533487952223773, 0.08561831845953646, 0.24167666310030553, -0.412863431381993, -0.3014036052950865, 0.18029810823079767, 0.15426668172262403, 0.14083209456991122, -0.08367695739596254, -0.22511224103962174, 0.032541986658341356, -0.22655842291189604, -0.15122223558945633, -0.00728753747858314, -0.029703267901721928, -0.043346915151535846, -0.2225818450937772, 0.15330700879631978, -0.011168594104472303, -0.06264497106733163, -0.09402752655458041, 0.03113780076576707, -0.027760993255974933, 0.02006404440746539, 0.06142139665502731, 0.020900500936679438, 0.11621685263687848, -0.2025281588074803, -0.052297869231551886, 0.40225758569108117, -0.14118467486292097, -0.10270931681023082, 0.1586196754231221, -0.10419104147068639, -0.10212156753146297, 0.12031251538105102, 0.09264716470109609, 0.09639949117425001, -0.11076685557297121, 0.12166466254853327, 0.043160716423396174, 0.12612894692251253, 0.054979183685241476, 0.047693981641512236, 0.3202086546872225, 0.19017728244620635, 0.029576743267373078, 0.14114047686517653, -0.03161234456678762, -0.134750724592272, -0.34756544866185224, -0.20310535827108347, -0.17386110262143323, 0.06761616227837901, -0.14957121542152485, -0.12976053685674238, 0.4343000645813946, 0.06460145657506979, 0.2036569978129895, 0.022565735126489826, 0.2935571891462637, 0.09054585649897086, -0.004713224738629328, 0.08764629209892721, 0.2576433917161517, 0.11208046124051584, 0.16909883319264432, -0.2878669047188143, -0.03105484804675345, 0.05267549709565679] |
708.3122 | An analog of the Iwasawa conjecture for a complete hyperbolic threefold
of finite volume | For a unitary local system of rank one on a complete hyperbolic threefold of
finite volume which has only one cusp, we will compare the order of the
Alexander invariant at t=1 and one of Ruelle-Selberg L-function at s=0. Our
result may be considered as a geometric analog of the Iwasawa main conjecture
in the algebraic number theory.
| math.SP math.DG | for a unitary local system of rank one on a complete hyperbolic threefold of finite volume which has only one cusp we will compare the order of the alexander invariant at t1 and one of ruelleselberg lfunction at s0 our result may be considered as a geometric analog of the iwasawa main conjecture in the algebraic number theory | [['for', 'a', 'unitary', 'local', 'system', 'of', 'rank', 'one', 'on', 'a', 'complete', 'hyperbolic', 'threefold', 'of', 'finite', 'volume', 'which', 'has', 'only', 'one', 'cusp', 'we', 'will', 'compare', 'the', 'order', 'of', 'the', 'alexander', 'invariant', 'at', 't1', 'and', 'one', 'of', 'ruelleselberg', 'lfunction', 'at', 's0', 'our', 'result', 'may', 'be', 'considered', 'as', 'a', 'geometric', 'analog', 'of', 'the', 'iwasawa', 'main', 'conjecture', 'in', 'the', 'algebraic', 'number', 'theory']] | [-0.2017895922538612, 0.03849896233071361, -0.17115827027316155, 0.0740234377026035, -0.049185646134183594, -0.13567947695162474, -0.017507092326699773, 0.24616195094412224, -0.25359781282512767, -0.23394944785538604, 0.13514799104897274, -0.23546765917470971, -0.12617542632250933, 0.20672071494750285, -0.09225294350139927, 0.013977129012346268, -0.00944087599616563, 0.1608979973345668, -0.08871203711615842, -0.34039423984001604, 0.391772172111495, -0.03898500136442875, 0.17555053491276085, 0.06275034513071245, 0.10281216280469507, 0.014393238804156059, 0.01088525302577437, -0.035620038250559254, -0.0979766433960513, 0.1127032060502914, 0.286600686707779, 0.03001132730002466, 0.23246159405741645, -0.3785611463107144, -0.13477751835282042, 0.16529752575514609, 0.10934717188540258, 0.08053992223607279, 0.0060989625707039965, -0.2293073771880907, 0.14306371975199958, -0.1820219232978528, -0.22970753700652144, -0.05047277295798586, 0.017168878367285065, -0.02721786977755919, -0.22049867984299598, 0.048515760780949345, 0.09447061620946777, 0.09489313704206755, -0.05103376206304682, -0.1342561021733114, -0.03470782231000301, 0.09867307073191593, 0.008628986400078264, 0.09365007312347491, 0.08384350295946524, -0.08750543746639762, -0.09924011630120508, 0.36037712897125046, -0.058749456528427176, -0.16295931913497808, 0.1720698209675519, -0.19494574925486455, -0.2045340164188753, 0.1445710112487799, 0.13900036895811035, 0.10803635669269665, -0.019407557879100767, 0.11288415202605456, -0.11902700255526916, 0.10428760767701947, 0.10247716913816698, -0.006517266446169009, 0.17228604829053215, 0.09227314214793998, 0.1094320218258521, 0.12809225860186607, -0.019241310144456004, -0.048112860790927685, -0.3654326719738412, -0.22279068570289956, -0.21532007180187002, 0.13998366658690206, -0.10772709875227679, -0.13748644831541337, 0.4321925583900067, 0.03519814240280539, 0.1757967873035293, 0.10106658640015348, 0.2827668729189195, 0.0893934460228162, 0.07616773786088615, 0.01823928897481477, 0.16309209321543836, 0.1956426067964027, 0.009986096249664561, -0.1908077596678611, -0.005057875679707841, 0.19124175384313913] |
708.3123 | On a special value of the Ruelle L-function | For a unitary local system of rank one on a complete hyperbolic threefold of
finite volume which has only one cusp, the Ruelle L-function is defined. We
will show that if the first cohomology group of the local system vanishes its
value at s=0 is equal to the square of the Franz-Reidemeister torsion.
| math.DG math.SP | for a unitary local system of rank one on a complete hyperbolic threefold of finite volume which has only one cusp the ruelle lfunction is defined we will show that if the first cohomology group of the local system vanishes its value at s0 is equal to the square of the franzreidemeister torsion | [['for', 'a', 'unitary', 'local', 'system', 'of', 'rank', 'one', 'on', 'a', 'complete', 'hyperbolic', 'threefold', 'of', 'finite', 'volume', 'which', 'has', 'only', 'one', 'cusp', 'the', 'ruelle', 'lfunction', 'is', 'defined', 'we', 'will', 'show', 'that', 'if', 'the', 'first', 'cohomology', 'group', 'of', 'the', 'local', 'system', 'vanishes', 'its', 'value', 'at', 's0', 'is', 'equal', 'to', 'the', 'square', 'of', 'the', 'franzreidemeister', 'torsion']] | [-0.23714188305446163, 0.053904717322438955, -0.13441746867297646, 0.025737037967281558, -0.0628604612295301, -0.1269295826428928, -0.012261494429996954, 0.28360822116239714, -0.27817471081820816, -0.1576051436445246, 0.12285630744344626, -0.27917039351394546, -0.12661045343758395, 0.17230546666094318, -0.06903472492614618, -0.017140855404879682, -0.006186254429989136, 0.2018187863107484, -0.13521094992309093, -0.34343625931069255, 0.421279405315335, -0.01878147153183818, 0.19897578802192584, 0.06657374408902027, 0.14590976698897207, -0.0001930256481640614, 0.049881757935509086, -0.03954405713683137, -0.10339326684236137, 0.09566375326651794, 0.21703861216799572, 0.02958700430686944, 0.26730159975928613, -0.34267108919672096, -0.11876003673443428, 0.20934668894355687, 0.09013810094732505, 0.04402197296328198, 0.03695966136561205, -0.22909606982452366, 0.16166845165515462, -0.1887707560403774, -0.21864126298504954, -0.031207464778652556, 0.07345078319821578, -0.024798924300389793, -0.2221420019184454, 0.06636700608606379, 0.06635195062531588, 0.10103641627714612, -0.07430321952695242, -0.11315546707303908, -0.08103680034848647, 0.12454420809920591, 0.005022135715430172, 0.06555246328039524, 0.13527152492091632, -0.10488474265170786, -0.05639744358352171, 0.37241181831520337, -0.08275179567639358, -0.1922434559539677, 0.13108018574376518, -0.24642767947023878, -0.14073634025855705, 0.1537316504579324, 0.11195297888480127, 0.12689862209607292, -0.03433287331762795, 0.15675730602099344, -0.1133826776013638, 0.15047307403829807, 0.0406469229895335, -0.05324533050700735, 0.17037823678513703, 0.09991095951185204, 0.17767727197721028, 0.10023521690051823, -0.036920235863922596, -0.041846928025524206, -0.3670059397386817, -0.2259464104247924, -0.24930455524904224, 0.12924769304047984, -0.07712711658006391, -0.17717756481411365, 0.41743689653678584, 0.020753821143164083, 0.17157723382115364, 0.10386544643999794, 0.2540169790243873, 0.15222027189156506, 0.0953812185370435, 0.05621561977582482, 0.19670399765555674, 0.1539050445963557, -0.01570804552354205, -0.2248904195238048, -0.0230157645777441, 0.18816950335167348] |
708.3124 | Asymptotic eigenvalue distribution of large Toeplitz matrices | We study the asymptotic eigenvalue distribution of Toeplitz matrices
generated by a singular symbol. It has been conjectured by Widom that, for a
generic symbol, the eigenvalues converge to the image of the symbol. In this
paper we ask how the eigenvalues converge to the image. For a given Toeplitz
matrix $T_n(a)$ of size $n$, we take the standard approach of looking at
$\det(\zeta-T_n(a))$, of which the asymptotic information is given by the
Fisher-Hartwig theorem. For a symbol with single jump, we obtain the
distribution of eigenvalues as an expansion involving $1/n$ and $\log n/n$. To
demonstrate the validity of our result we compare our result against the
numerics using a pure Fisher-Hartwig symbol.
| math-ph math.MP | we study the asymptotic eigenvalue distribution of toeplitz matrices generated by a singular symbol it has been conjectured by widom that for a generic symbol the eigenvalues converge to the image of the symbol in this paper we ask how the eigenvalues converge to the image for a given toeplitz matrix t_na of size n we take the standard approach of looking at detzetat_na of which the asymptotic information is given by the fisherhartwig theorem for a symbol with single jump we obtain the distribution of eigenvalues as an expansion involving 1n and log nn to demonstrate the validity of our result we compare our result against the numerics using a pure fisherhartwig symbol | [['we', 'study', 'the', 'asymptotic', 'eigenvalue', 'distribution', 'of', 'toeplitz', 'matrices', 'generated', 'by', 'a', 'singular', 'symbol', 'it', 'has', 'been', 'conjectured', 'by', 'widom', 'that', 'for', 'a', 'generic', 'symbol', 'the', 'eigenvalues', 'converge', 'to', 'the', 'image', 'of', 'the', 'symbol', 'in', 'this', 'paper', 'we', 'ask', 'how', 'the', 'eigenvalues', 'converge', 'to', 'the', 'image', 'for', 'a', 'given', 'toeplitz', 'matrix', 't_na', 'of', 'size', 'n', 'we', 'take', 'the', 'standard', 'approach', 'of', 'looking', 'at', 'detzetat_na', 'of', 'which', 'the', 'asymptotic', 'information', 'is', 'given', 'by', 'the', 'fisherhartwig', 'theorem', 'for', 'a', 'symbol', 'with', 'single', 'jump', 'we', 'obtain', 'the', 'distribution', 'of', 'eigenvalues', 'as', 'an', 'expansion', 'involving', '1n', 'and', 'log', 'nn', 'to', 'demonstrate', 'the', 'validity', 'of', 'our', 'result', 'we', 'compare', 'our', 'result', 'against', 'the', 'numerics', 'using', 'a', 'pure', 'fisherhartwig', 'symbol']] | [-0.10440064148783716, 0.039138522424732036, -0.11123653589047294, 0.0657107153602472, -0.013270867287914836, -0.11541947183009665, 0.05069505539619718, 0.31467241375187854, -0.24170744908248296, -0.21315559394146621, 0.13041664054926352, -0.3064167828946086, -0.18847367897489628, 0.12947815578364957, -0.0718907923314028, 0.09332848968297507, 0.08142441945496649, 0.12352752795162718, -0.10563510850244985, -0.25418774355038076, 0.360313162922579, 0.04871712429696216, 0.2137351446966352, 0.036223336662767475, 0.08020581518489439, 0.01690621997551185, -0.005266000137590201, -0.07195379642720244, -0.12804830754908528, 0.11733224792859262, 0.27156540539437096, 0.13351425097274502, 0.24928513722312926, -0.37831007384291265, -0.1565673929779271, 0.14540018751162342, 0.17535631253952738, 0.08114321271175996, -0.013822316694839866, -0.2930981646996585, 0.1724600085856772, -0.17982662040575415, -0.1697669390576636, -0.06647487294003038, 0.002223734463672195, 0.005616630994162596, -0.337550175194917, 0.057270940681672204, 0.12508090558684373, 0.03713834812386637, 0.005368808535776571, -0.12304990675580581, 0.03901803345147487, 0.15016885683253672, 0.05840850592409549, -0.012817485055029063, 0.06196878505128939, -0.05751247189535174, -0.08300342267395648, 0.3152946670502589, -0.08509651816293465, -0.23061885682256084, 0.08067847062231956, -0.17792301025835022, -0.11885535637065109, 0.09037902567172999, 0.11471995008301682, 0.1420417520077487, -0.08941095976768869, 0.14041447928700745, -0.06974773537944508, 0.1339327370896276, 0.1349100403310484, 0.002835527989617755, 0.10981832333403614, 0.08686859205991557, 0.06696978308862092, 0.16097958933611492, -0.07090056454350727, -0.09700661773208231, -0.3056012549544726, -0.17328207518089464, -0.3014896330897556, 0.09519452909914265, -0.1628888656952639, -0.21205800092589538, 0.4144569572918447, 0.15050632806198128, 0.25094156361605346, 0.14944076363462955, 0.23771985227126727, 0.1963053325498147, 0.02270400144192761, 0.07832192379437321, 0.1289619387135701, 0.16106589636930257, 0.08446366565747071, -0.20507723772568645, 0.04544149231643672, 0.1598178864069349] |
708.3125 | Control of spin coherence in semiconductor double quantum dots | We propose a scheme to manipulate the spin coherence in vertically coupled
GaAs double quantum dots. Up to {\em ten} orders of magnitude variation of the
spin relaxation and {\em two} orders of magnitude variation of the spin
dephasing can be achieved by a small gate voltage applied vertically on the
double dot. Specially, large variation of spin relaxation still exists at 0 K.
In the calculation, the equation-of-motion approach is applied to obtain the
electron decoherence time and all the relevant spin decoherence mechanisms,
such as the spin-orbit coupling together with the electron--bulk-phonon
scattering, the direct spin-phonon coupling due to the phonon-induced strain,
the hyperfine interaction and the second-order process of electron-phonon
scattering combined with the hyperfine interaction, are included. The condition
to obtain the large variations of spin coherence is also addressed.
| cond-mat.mtrl-sci | we propose a scheme to manipulate the spin coherence in vertically coupled gaas double quantum dots up to em ten orders of magnitude variation of the spin relaxation and em two orders of magnitude variation of the spin dephasing can be achieved by a small gate voltage applied vertically on the double dot specially large variation of spin relaxation still exists at 0 k in the calculation the equationofmotion approach is applied to obtain the electron decoherence time and all the relevant spin decoherence mechanisms such as the spinorbit coupling together with the electronbulkphonon scattering the direct spinphonon coupling due to the phononinduced strain the hyperfine interaction and the secondorder process of electronphonon scattering combined with the hyperfine interaction are included the condition to obtain the large variations of spin coherence is also addressed | [['we', 'propose', 'a', 'scheme', 'to', 'manipulate', 'the', 'spin', 'coherence', 'in', 'vertically', 'coupled', 'gaas', 'double', 'quantum', 'dots', 'up', 'to', 'em', 'ten', 'orders', 'of', 'magnitude', 'variation', 'of', 'the', 'spin', 'relaxation', 'and', 'em', 'two', 'orders', 'of', 'magnitude', 'variation', 'of', 'the', 'spin', 'dephasing', 'can', 'be', 'achieved', 'by', 'a', 'small', 'gate', 'voltage', 'applied', 'vertically', 'on', 'the', 'double', 'dot', 'specially', 'large', 'variation', 'of', 'spin', 'relaxation', 'still', 'exists', 'at', '0', 'k', 'in', 'the', 'calculation', 'the', 'equationofmotion', 'approach', 'is', 'applied', 'to', 'obtain', 'the', 'electron', 'decoherence', 'time', 'and', 'all', 'the', 'relevant', 'spin', 'decoherence', 'mechanisms', 'such', 'as', 'the', 'spinorbit', 'coupling', 'together', 'with', 'the', 'electronbulkphonon', 'scattering', 'the', 'direct', 'spinphonon', 'coupling', 'due', 'to', 'the', 'phononinduced', 'strain', 'the', 'hyperfine', 'interaction', 'and', 'the', 'secondorder', 'process', 'of', 'electronphonon', 'scattering', 'combined', 'with', 'the', 'hyperfine', 'interaction', 'are', 'included', 'the', 'condition', 'to', 'obtain', 'the', 'large', 'variations', 'of', 'spin', 'coherence', 'is', 'also', 'addressed']] | [-0.18069516815581269, 0.21546593865141608, 0.011706801449978039, 0.055932803139512544, -0.0005005559519885626, -0.14188872314849518, 0.01871088734141698, 0.3914447787070745, -0.31689004992183883, -0.2982162532529661, 0.01334326168263149, -0.26507162106664556, -0.05566827268724827, 0.19552471392080747, 0.0786545845273798, 0.027902943628342978, -0.0019845081724338513, -0.017192039498709198, -0.0906128211514114, -0.2428801251694392, 0.28202367768643943, -0.001677873103679823, 0.26486726320537746, 0.12169524345238854, 0.09667380259869467, 0.04663939493589271, 0.06856339918891549, -0.008545919020373122, -0.12281577156758622, 0.07448366798742331, 0.23363933105221285, -0.06340759728257929, 0.21855922932631539, -0.4435797908196324, -0.1548112300119566, 0.002102186670526862, 0.1210520433286499, 0.20413681621929364, 0.0021172282872441456, -0.28010789890374455, 0.0008435798843944431, -0.16862845843783894, -0.08446995453572922, -0.10386797412879821, 0.010316236945975544, -0.028825117702266777, -0.2959526278624745, 0.09886867399095502, 0.07209661376095355, 0.0016071984782478864, -0.027868008030984635, -0.08270152708291448, 0.010834444051650459, 0.09056046521715659, 0.05674275804177116, 0.06682638586953954, 0.18267197650419617, -0.06193856077436778, -0.1623016973621303, 0.34817074177632656, -0.1255867772532585, -0.15212240024588833, 0.14499803604838207, -0.1724665473789481, -0.03543979065716827, 0.15944833039740255, 0.12231651788640459, 0.11766415935611926, -0.1507182307698925, 0.08423933102723029, 0.05457840891050777, 0.18178417302556055, 0.058681285208357234, 0.11429918773080174, 0.1913436453761463, 0.17124694832285545, 0.08828941706736061, 0.12946662449022348, -0.15004939676430495, -0.08521507509206806, -0.24190167107976468, -0.10415013078722711, -0.213681861472008, 0.14295535445514423, -0.09108631488115657, -0.13043749576812624, 0.4192878160043565, 0.14646449360709385, 0.1553333697357404, -0.017991952633107065, 0.2900554197131397, 0.16594342719605962, 0.12083567035405483, -0.009298521304096943, 0.2819904081481404, 0.2425584156307763, 0.04625322433762757, -0.40215078970291335, 0.05914287386406073, -0.027589860561310797] |
708.3126 | Semilattice Structures of Spreading Models | Given a Banach space X, denote by SP_{w}(X) the set of equivalence classes of
spreading models of X generated by normalized weakly null sequences in X. It is
known that SP_{w}(X) is a semilattice, i.e., it is a partially ordered set in
which every pair of elements has a least upper bound. We show that every
countable semilattice that does not contain an infinite increasing sequence is
order isomorphic to SP_{w}(X) for some separable Banach space X.
| math.FA | given a banach space x denote by sp_wx the set of equivalence classes of spreading models of x generated by normalized weakly null sequences in x it is known that sp_wx is a semilattice ie it is a partially ordered set in which every pair of elements has a least upper bound we show that every countable semilattice that does not contain an infinite increasing sequence is order isomorphic to sp_wx for some separable banach space x | [['given', 'a', 'banach', 'space', 'x', 'denote', 'by', 'sp_wx', 'the', 'set', 'of', 'equivalence', 'classes', 'of', 'spreading', 'models', 'of', 'x', 'generated', 'by', 'normalized', 'weakly', 'null', 'sequences', 'in', 'x', 'it', 'is', 'known', 'that', 'sp_wx', 'is', 'a', 'semilattice', 'ie', 'it', 'is', 'a', 'partially', 'ordered', 'set', 'in', 'which', 'every', 'pair', 'of', 'elements', 'has', 'a', 'least', 'upper', 'bound', 'we', 'show', 'that', 'every', 'countable', 'semilattice', 'that', 'does', 'not', 'contain', 'an', 'infinite', 'increasing', 'sequence', 'is', 'order', 'isomorphic', 'to', 'sp_wx', 'for', 'some', 'separable', 'banach', 'space', 'x']] | [-0.18701504042686581, 0.20927416448131378, -0.04256407686134244, 0.05548727940904073, -0.06635540652741956, -0.10624162134920041, 0.03985629461905254, 0.41066873805331333, -0.3392250072452929, -0.13872837312761452, 0.09656655867342148, -0.3293488714118282, -0.1017367248725775, 0.1771478485263122, -0.09767892838050551, -0.039432608372797925, 0.07084707347313304, 0.14846378492264004, -0.09697910594487828, -0.3124669659036127, 0.3682513734470908, -0.09192231967259053, 0.19964726759096632, -0.011466010268051902, 0.1847221933489714, 0.0019837594651556634, 0.04348704922799166, 0.06038716545724612, -0.11746316237891828, 0.09852913606536949, 0.2843228439797512, 0.17568859903069287, 0.29260381888870346, -0.28848150126596717, -0.17293771182174805, 0.26768096085401955, 0.11133558368431283, -0.06858449262210059, -0.00444763527681156, -0.2627062919948782, 0.16252548653971066, -0.1639353443563057, -0.07548109087004483, -0.07558797107549844, 0.13324160758381734, -0.0026066453474295603, -0.31342684714026847, -0.051746892803288126, 0.17576569906593142, 0.032080597567369, -0.030375971452804743, -0.06682375592312642, -0.12881256014036088, 0.04769083526735375, -0.05267875743183223, 0.1447324699286807, 0.03749296071413034, -0.009917729993822512, -0.11210849940438163, 0.34920445544185574, -0.05616543121037206, -0.22726453112607653, 0.1444521409931121, -0.2130421268717422, -0.15534407035870987, 0.1942648089115883, 0.08670721713501911, 0.14845456634103865, -0.07747190609550128, 0.22739005209757135, -0.2104720100639509, 0.20246763388224115, 0.06435024431096269, 0.0439575454310889, 0.15407734340685722, 0.15556119121127315, 0.15336195479280182, 0.12624796766594246, 0.04982175241381704, 0.029499997179229537, -0.36415879457414924, -0.13710030828460495, -0.20634624787739345, 0.12062321889063785, -0.07666400802478969, -0.23872060531919653, 0.27412236333135276, 0.0699780729679427, 0.1911146653961245, 0.0644197572860262, 0.16698715050837823, 0.0793448580710925, 0.015547406679781323, 0.11052161455154419, 0.07107349700035902, 0.16458540661986193, -0.08880849021740934, -0.06978453424843875, 0.08251652688803998, 0.20365621818965846] |
708.3127 | Question on Conditional Entropy | The problems of conditional entropy's definition and the formula to compute
conditional entropy are analyzed from various perspectives, and the corrected
computing formula is presented. Examples are given to prove the conclusion that
conditional entropy never be increased is not absolute, thus the representation
that information is to decrease uncertainty in the definition of information is
not absolutely correct.
| cs.IT math.IT | the problems of conditional entropys definition and the formula to compute conditional entropy are analyzed from various perspectives and the corrected computing formula is presented examples are given to prove the conclusion that conditional entropy never be increased is not absolute thus the representation that information is to decrease uncertainty in the definition of information is not absolutely correct | [['the', 'problems', 'of', 'conditional', 'entropys', 'definition', 'and', 'the', 'formula', 'to', 'compute', 'conditional', 'entropy', 'are', 'analyzed', 'from', 'various', 'perspectives', 'and', 'the', 'corrected', 'computing', 'formula', 'is', 'presented', 'examples', 'are', 'given', 'to', 'prove', 'the', 'conclusion', 'that', 'conditional', 'entropy', 'never', 'be', 'increased', 'is', 'not', 'absolute', 'thus', 'the', 'representation', 'that', 'information', 'is', 'to', 'decrease', 'uncertainty', 'in', 'the', 'definition', 'of', 'information', 'is', 'not', 'absolutely', 'correct']] | [-0.04446112529781126, 0.11516961436403, -0.15789583532171228, 0.14570111802274013, -0.083887954921288, -0.14312462085636996, 0.02420196316789015, 0.3422586775179637, -0.27999961641380344, -0.30595327399165956, 0.12862329646526693, -0.30686060437080215, -0.11036243126333012, 0.21132382171591585, -0.17400030116155996, 0.05361111919490336, 0.04987967986676652, 0.09788647874937219, -0.10458179911346001, -0.2543666022435083, 0.26964258917181166, 0.03524983001841327, 0.32182649103135375, 0.1331124292860218, 0.11864411527827634, -0.012038592351758378, -0.0842136416970989, 0.04148735102834338, -0.1425663199745833, 0.16235673525449584, 0.2729855982302609, 0.21397385322015292, 0.27167773619294167, -0.33851106070234616, -0.18612891235152038, 0.167200593151531, 0.08752734315486908, 0.1302642212170413, 0.03515105487352584, -0.24700690048225857, 0.1303643029640918, -0.1951301350234613, -0.11423678137362003, -0.11180152573575408, 0.05646619188078379, -0.01451485225204694, -0.2631951781242328, 0.08674097086413432, 0.09459226139647475, 0.05182347531919762, -0.07659343738992841, -0.09082607449805838, -0.05463555888706913, 0.11991412258880624, 0.061943775421734584, 0.03080870747424157, 0.15033358780635617, -0.10195706314328364, -0.10657892243589386, 0.291966648172524, -0.031138887210607022, -0.2479056234361004, 0.07119356289947942, -0.14725770308809766, -0.12780696669025188, 0.11502020274509944, 0.0867096650556235, 0.08681515975208101, -0.18232956812795947, 0.048224420789865996, -0.008020963135049125, 0.11900341577070245, 0.03950186031160213, 0.08593236471889383, 0.15312115702841242, 0.036403793407509384, 0.05663140000522894, 0.16010376038937435, -0.020108445073967262, -0.14660383107819422, -0.3435047246136908, -0.2008080488481259, -0.25433966732126173, 0.00228711622579702, -0.07982146069042433, -0.16630951075230616, 0.3022983368699265, 0.1876054789428994, 0.19168662109759527, 0.10533141368463383, 0.3151297852144403, 0.23384324840064777, 0.037189015897653874, 0.07079267713351775, 0.20676879127020553, 0.1802405019495952, 0.03936953506614003, -0.14446562963885146, 0.165368832040073, 0.10173793947639859] |
708.3128 | The u-invariant of the function fields of p-adic curves | The u-invariant of a field is the maximum dimension of ansiotropic quadratic
forms over the field. It is an open question whether the u-invariant of
function fields of p-aidc curves is 8. In this paper, we answer this question
in the affirmative for function fields of non-dyadic p-adic curves.
| math.NT | the uinvariant of a field is the maximum dimension of ansiotropic quadratic forms over the field it is an open question whether the uinvariant of function fields of paidc curves is 8 in this paper we answer this question in the affirmative for function fields of nondyadic padic curves | [['the', 'uinvariant', 'of', 'a', 'field', 'is', 'the', 'maximum', 'dimension', 'of', 'ansiotropic', 'quadratic', 'forms', 'over', 'the', 'field', 'it', 'is', 'an', 'open', 'question', 'whether', 'the', 'uinvariant', 'of', 'function', 'fields', 'of', 'paidc', 'curves', 'is', '8', 'in', 'this', 'paper', 'we', 'answer', 'this', 'question', 'in', 'the', 'affirmative', 'for', 'function', 'fields', 'of', 'nondyadic', 'padic', 'curves']] | [-0.2234535469712379, 0.08051531070456501, -0.10397917387308553, 0.09313801398820942, -0.0721306809282396, -0.06341558965505101, 0.011284644892536258, 0.31201916133674484, -0.31528863155593473, -0.28009830781957135, 0.06948623401209868, -0.22774314826043943, -0.1728363528770084, 0.25959887421534705, -0.11103115830337629, 0.006566670451623698, -0.0280953545589, 0.09016339514831391, -0.02146910791634582, -0.42567303803904605, 0.4234577692113817, -0.008459605955674002, 0.18519549570434415, 0.097994494572049, 0.09741580672562122, 0.04068071426202854, 0.03171990148257464, -0.026647436713877443, -0.15029924003950632, 0.11408908345038071, 0.2660696097494413, 0.15653152432544934, 0.2720491956764211, -0.3023880856505154, -0.16504701952605197, 0.16415668276992315, 0.12094951869949, 0.058743482222780585, -0.012218722084071487, -0.16381423935915032, 0.08144477618285843, -0.058892136827732124, -0.18442877944714078, 0.014178568691325685, 0.09744234721195728, -0.035805344309968255, -0.2660175009223167, 0.024195588232638936, 0.11517763020916998, 0.20291974001641697, -0.12860569260859242, -0.06526288809254766, 0.07395896028416853, 0.07357020560448291, 0.062043535834296414, 0.1757074220707485, 0.045120264432625845, -0.2079563455093497, -0.10538033989723772, 0.3176884037772349, -0.10053955344483256, -0.19568270180995265, 0.09143050102769242, -0.16225969463509196, -0.08760169272621472, 0.10626331555734699, 0.15909571807060274, 0.16664086286133775, -0.1130029462898771, 0.24029258120572194, -0.16093707447483516, 0.13292238349822583, 0.10503761817623551, -0.057983360874156155, 0.18944831870127624, 0.07529738199082203, 0.0943362111186919, 0.1701500551086307, 0.0018196360518534978, -0.015397222402195135, -0.3201649937933932, -0.25229670375119895, -0.1527140906934316, 0.13519531789885755, -0.06817218633174586, -0.18720626970753074, 0.4704752992838621, 0.12068486376665533, 0.20230549071372175, 0.04114106893151378, 0.22767537436448038, 0.15394292126196282, 0.027692169132327155, 0.0788385648726641, 0.1502866018563509, 0.21333342779932232, 0.0211111600001459, -0.15118420090099485, -0.04146639380875664, 0.07728402204035471] |
708.3129 | Entanglement cost and distillable entanglement of symmetric states | We compute entanglement cost and distillable entanglement of states supported
on symmetric subspace. Not only giving general formula, we apply them to the
output states of optimal cloning machines. Surprisingly, under some settings,
the optimal n to m clone and true m copies are the same in entanglement
measures. However, they differ in the error exponent of entanglement dilution.
We also presented a general theory of entanglement dilution which is applicable
to any non-i.i.d sequence of states.
| quant-ph | we compute entanglement cost and distillable entanglement of states supported on symmetric subspace not only giving general formula we apply them to the output states of optimal cloning machines surprisingly under some settings the optimal n to m clone and true m copies are the same in entanglement measures however they differ in the error exponent of entanglement dilution we also presented a general theory of entanglement dilution which is applicable to any noniid sequence of states | [['we', 'compute', 'entanglement', 'cost', 'and', 'distillable', 'entanglement', 'of', 'states', 'supported', 'on', 'symmetric', 'subspace', 'not', 'only', 'giving', 'general', 'formula', 'we', 'apply', 'them', 'to', 'the', 'output', 'states', 'of', 'optimal', 'cloning', 'machines', 'surprisingly', 'under', 'some', 'settings', 'the', 'optimal', 'n', 'to', 'm', 'clone', 'and', 'true', 'm', 'copies', 'are', 'the', 'same', 'in', 'entanglement', 'measures', 'however', 'they', 'differ', 'in', 'the', 'error', 'exponent', 'of', 'entanglement', 'dilution', 'we', 'also', 'presented', 'a', 'general', 'theory', 'of', 'entanglement', 'dilution', 'which', 'is', 'applicable', 'to', 'any', 'noniid', 'sequence', 'of', 'states']] | [-0.15054954624093778, 0.1756981142203916, -0.0807654107376546, 0.11867565851108255, 0.009848534706344997, -0.2568612301951976, 0.11150302951429765, 0.36128583018268856, -0.2316436291756955, -0.21427953880062545, 0.09517701631472386, -0.2643440423968744, -0.08957480103708804, 0.1781559896824712, -0.13331451548819806, 0.11321113041644408, 0.05143494797302047, 0.07320355116571119, -0.05290652717109891, -0.3251983416206264, 0.33520212146761985, 0.017884873859161002, 0.31253772295479265, 0.0405371199844272, 0.08452444839859743, 0.010946142565846056, 0.02729606514724044, 0.02013461569977271, -0.15042314494282685, 0.11136179309800968, 0.29430975518249847, 0.19143111947561045, 0.21133100301898144, -0.3626271716210169, -0.15541478011805515, 0.19136144486618797, 0.09840247804879562, 0.17561438152802405, 0.006088137673516456, -0.25934667391823485, 0.03533763921057636, -0.16288610526387787, -0.09379121370903858, -0.10625705718328911, 0.03183307035753576, -0.050369775607613486, -0.2982855615351204, 0.09948846067917268, 0.07547304441837908, 0.025553865926703074, -0.021509803849719948, -0.07894209626904845, -0.01813955588096922, 0.16944978071237587, -0.012771685719611002, -0.015324693076409303, 0.15791957205548496, -0.08074186133922308, -0.1468317344325123, 0.2927351654265318, -0.031198127279904755, -0.24383351584146548, 0.19012586514816268, -0.16594840347912018, -0.1426146119370355, 0.08141669865346865, 0.12494159482613013, 0.12724905194980757, -0.07378165532121217, 0.08518944641835262, -0.05984724320277765, 0.1947859597570783, 0.09405829374793337, 0.14578019157082278, 0.10155724910656352, 0.014907633964359374, 0.11153216258465469, 0.2127150177544394, 0.009525018335961095, -0.13210256271179185, -0.32759906629753577, -0.19069831855232258, -0.29275850544066784, 0.10454815922190841, -0.10165864738368115, -0.13859204488334717, 0.37992884460594745, 0.10351110348937573, 0.15421440089484315, 0.1245374193357594, 0.23801617048584023, 0.09209720813366887, 0.05210680897988669, 0.1465041339336955, 0.18823410821783768, 0.1456795734196127, 0.0076012218963693486, -0.226287474501999, 0.08051814978893895, 0.04750883569578072] |
708.313 | Equation of state for shock-compressed porous molybdenum from
first-principles mean-field potential calculations | The Hugoniot curves for shock-compressed molybdenum with initial porosities
of 1.0, 1.26, 1.83, and 2.31 are theoretically investigated. The method of
calculations combines the first-principles treatment for zero- and
finite-temperature electronic contribution and the mean-field-potential
approach for the ion-thermal contribution to the total free energy. Our
calculated results reproduce the Hugoniot properties of porous molybdenum quite
well. At low porosity, in particular, the calculations show a complete
agreement with the experimental measurements over the full range of data. For
the two large porosity values of 1.83 and 2.31, our results are well in accord
with the experimental data points up to the particle velocity of 3.5 km/s, and
tend to overestimate the shock-wave velocity and Hugoniot pressure when further
increasing the particle velocity. In addition, the temperature along the
principal Hugoniot is also extensively investigated for porous molybdenum.
| cond-mat.mtrl-sci cond-mat.stat-mech | the hugoniot curves for shockcompressed molybdenum with initial porosities of 10 126 183 and 231 are theoretically investigated the method of calculations combines the firstprinciples treatment for zero and finitetemperature electronic contribution and the meanfieldpotential approach for the ionthermal contribution to the total free energy our calculated results reproduce the hugoniot properties of porous molybdenum quite well at low porosity in particular the calculations show a complete agreement with the experimental measurements over the full range of data for the two large porosity values of 183 and 231 our results are well in accord with the experimental data points up to the particle velocity of 35 kms and tend to overestimate the shockwave velocity and hugoniot pressure when further increasing the particle velocity in addition the temperature along the principal hugoniot is also extensively investigated for porous molybdenum | [['the', 'hugoniot', 'curves', 'for', 'shockcompressed', 'molybdenum', 'with', 'initial', 'porosities', 'of', '10', '126', '183', 'and', '231', 'are', 'theoretically', 'investigated', 'the', 'method', 'of', 'calculations', 'combines', 'the', 'firstprinciples', 'treatment', 'for', 'zero', 'and', 'finitetemperature', 'electronic', 'contribution', 'and', 'the', 'meanfieldpotential', 'approach', 'for', 'the', 'ionthermal', 'contribution', 'to', 'the', 'total', 'free', 'energy', 'our', 'calculated', 'results', 'reproduce', 'the', 'hugoniot', 'properties', 'of', 'porous', 'molybdenum', 'quite', 'well', 'at', 'low', 'porosity', 'in', 'particular', 'the', 'calculations', 'show', 'a', 'complete', 'agreement', 'with', 'the', 'experimental', 'measurements', 'over', 'the', 'full', 'range', 'of', 'data', 'for', 'the', 'two', 'large', 'porosity', 'values', 'of', '183', 'and', '231', 'our', 'results', 'are', 'well', 'in', 'accord', 'with', 'the', 'experimental', 'data', 'points', 'up', 'to', 'the', 'particle', 'velocity', 'of', '35', 'kms', 'and', 'tend', 'to', 'overestimate', 'the', 'shockwave', 'velocity', 'and', 'hugoniot', 'pressure', 'when', 'further', 'increasing', 'the', 'particle', 'velocity', 'in', 'addition', 'the', 'temperature', 'along', 'the', 'principal', 'hugoniot', 'is', 'also', 'extensively', 'investigated', 'for', 'porous', 'molybdenum']] | [-0.028022538775401395, 0.1260704149485287, -0.05656241077970523, -2.6670164754954133e-05, 0.012026968791088374, -0.0693344960539826, 0.05709135527620568, 0.39979685388886144, -0.22531349024307118, -0.32519379818308963, 0.04667900871216952, -0.3492415841927167, -0.040324976020095354, 0.22381090303631432, 0.04848612391519068, 0.1030149920122319, 0.07187052097266716, -0.023637485778788582, -0.09514302973139242, -0.20576224302070856, 0.24128832475343434, 0.07193977195416054, 0.3064481791951796, 0.11246334979596147, 0.053764949989484716, -0.029947661238987625, -0.005605783639815602, 0.04034216912041833, -0.22146935273899976, 0.07771325054965968, 0.2417040570387549, -0.016531856229229674, 0.18255689767372868, -0.39729446522130146, -0.2142436265585142, 0.002832563437630225, 0.09560064508504894, 0.11249264554005034, -0.03791992648089998, -0.21139689766033723, 0.09880104073727788, -0.16150941212328462, -0.1806050725689117, -0.05322729213584731, 0.026186973920404692, 0.05534631942473624, -0.23363613446045967, 0.13066071926010261, -0.035188215701453335, 0.09235498961985339, -0.15584044793389573, -0.1971824390331052, -0.0901262463396755, 0.041071395834365754, 0.06478688451053616, 0.03255321268318561, 0.17400985714184106, -0.10219477897809043, -0.009308573370119625, 0.43599560676672816, -0.08849182829981411, -0.09537024256589748, 0.19922585870363635, -0.15775652364215875, -0.09920118590281515, 0.2039500213581661, 0.1351852905078295, 0.07368203250174649, -0.10579767776536331, 0.020828474919102665, -0.03855649832518003, 0.1416468374536502, 0.06160128355216588, -0.02570094261196294, 0.1404106264566853, 0.14031199205761952, -0.03868450736287084, 0.07742908177302511, -0.17135227932492747, -0.07955802853531918, -0.28503885564061193, -0.17671871972784406, -0.1494882153211175, 0.0018324613822692068, -0.15239203650862093, -0.1480428886525061, 0.37468630919083407, 0.13301668219424675, 0.23085818791857166, 0.043494823409149244, 0.26351998810296073, 0.08438952361661804, 0.021002439710644694, 0.08096906221403748, 0.2965260351579772, 0.1954145362689058, 0.12776085702331913, -0.25318896674965746, 0.06452444336805356, -0.025949127856560433] |
708.3131 | Scattering of spin-polarized electron in an Aharonov--Bohm potential | The scattering of spin-polarized electrons in an Aharonov--Bohm vector
potential is considered. We solve the Pauli equation in 3+1 dimensions taking
into account explicitly the interaction between the three-dimensional spin
magnetic moment of electron and magnetic field. Expressions for the scattering
amplitude and the cross section are obtained for spin-polarized electron
scattered off a flux tube of small radius. It is also shown that bound electron
states cannot occur in this quantum system. The scattering problem for the
model of a flux tube of zero radius in the Born approximation is briefly
discussed.
| hep-th cond-mat.other math-ph math.MP quant-ph | the scattering of spinpolarized electrons in an aharonovbohm vector potential is considered we solve the pauli equation in 31 dimensions taking into account explicitly the interaction between the threedimensional spin magnetic moment of electron and magnetic field expressions for the scattering amplitude and the cross section are obtained for spinpolarized electron scattered off a flux tube of small radius it is also shown that bound electron states cannot occur in this quantum system the scattering problem for the model of a flux tube of zero radius in the born approximation is briefly discussed | [['the', 'scattering', 'of', 'spinpolarized', 'electrons', 'in', 'an', 'aharonovbohm', 'vector', 'potential', 'is', 'considered', 'we', 'solve', 'the', 'pauli', 'equation', 'in', '31', 'dimensions', 'taking', 'into', 'account', 'explicitly', 'the', 'interaction', 'between', 'the', 'threedimensional', 'spin', 'magnetic', 'moment', 'of', 'electron', 'and', 'magnetic', 'field', 'expressions', 'for', 'the', 'scattering', 'amplitude', 'and', 'the', 'cross', 'section', 'are', 'obtained', 'for', 'spinpolarized', 'electron', 'scattered', 'off', 'a', 'flux', 'tube', 'of', 'small', 'radius', 'it', 'is', 'also', 'shown', 'that', 'bound', 'electron', 'states', 'can', 'not', 'occur', 'in', 'this', 'quantum', 'system', 'the', 'scattering', 'problem', 'for', 'the', 'model', 'of', 'a', 'flux', 'tube', 'of', 'zero', 'radius', 'in', 'the', 'born', 'approximation', 'is', 'briefly', 'discussed']] | [-0.1708645481762397, 0.21827723720606956, -0.03749690906323017, 0.13468219021067737, 0.019829020003213526, -0.10506013391460194, 0.014320695619817149, 0.3504816120133755, -0.22978059856339972, -0.2672734329714737, -0.0123359544024347, -0.29286600602790713, -0.08354034274816513, 0.2012371126973526, 0.058891834968582114, 0.022587169779147556, 0.02432236372879607, 0.050585409356380236, -0.07151645076203536, -0.2177605994313242, 0.30957798123795616, 0.029078918874531273, 0.26362764104665753, 0.1700424743231703, 0.07481212193701178, 0.0785482078208588, 0.053776952390994955, 0.047981031085463595, -0.08219815906611869, 0.036402298597633796, 0.19140477414166138, -0.001431150287587909, 0.13711653303037932, -0.5090708606777355, -0.1899683402375655, 0.02296091737027498, 0.17959178743160706, 0.12865531457429555, -0.0405202233827019, -0.2953838651623339, -0.007335694140179995, -0.1725889581027738, -0.18469337332359653, -0.039473457147981575, 0.06361946687127087, -0.022329474006720047, -0.2669844107474498, 0.10095747806685432, 0.07341466194137614, -0.021931445919611353, -0.14891618962196554, -0.113193931269826, 0.001625409409245278, 0.05878766687423427, 0.07191660430683616, 0.03948746847999381, 0.1345516794108528, -0.12966342172040504, -0.07309090405110606, 0.3415950578835575, -0.043209572211205166, -0.2143057397408213, 0.06503181057447131, -0.21172713222318984, -0.025801073361009834, 0.198389467822903, 0.1555670647624325, 0.08805380074772984, -0.1818739957810241, 0.12642024366180116, -0.055133737675706916, 0.11839416224826524, 0.07954113423685602, 0.005974047495290003, 0.2536231052586214, 0.15830465481477848, 0.04168082391248738, 0.09961740722126783, -0.19738599594107809, -0.08791928909758621, -0.31459722216141983, -0.15121504995152057, -0.19620657762254964, 0.09047929020960781, -0.033252620212225976, -0.1730383095895609, 0.3516983320698776, 0.12797674026954522, 0.16695136354958756, -0.059226150312361885, 0.33001168769724826, 0.22501439213792376, 0.05568586319915336, 0.06664589875714576, 0.29342510758284873, 0.24564984760821817, 0.09310689529879614, -0.28035379903381097, -0.02788286602144387, 0.06488205653744096] |
708.3132 | Casimir Forces in Trapped Dilute Bose Gas Between Two Slabs | We discuss a Casimir force due to zero-temperature quantum fluctuations in a
weakly interacting Bose-Einstein condensate (BEC) with a strong harmonic trap.
The results show that the presence of a strong harmonic trap changes the power
law behavior of Casimir force due to the dimensional reduction effect. At
finite temperature, we calculate Casimir force due to thermal fluctuation and
find an exotic temperature dependent behavior in the first order term. Finally,
we speculate some possible experimental realization and detection of the force
in future experiments.
| cond-mat.other | we discuss a casimir force due to zerotemperature quantum fluctuations in a weakly interacting boseeinstein condensate bec with a strong harmonic trap the results show that the presence of a strong harmonic trap changes the power law behavior of casimir force due to the dimensional reduction effect at finite temperature we calculate casimir force due to thermal fluctuation and find an exotic temperature dependent behavior in the first order term finally we speculate some possible experimental realization and detection of the force in future experiments | [['we', 'discuss', 'a', 'casimir', 'force', 'due', 'to', 'zerotemperature', 'quantum', 'fluctuations', 'in', 'a', 'weakly', 'interacting', 'boseeinstein', 'condensate', 'bec', 'with', 'a', 'strong', 'harmonic', 'trap', 'the', 'results', 'show', 'that', 'the', 'presence', 'of', 'a', 'strong', 'harmonic', 'trap', 'changes', 'the', 'power', 'law', 'behavior', 'of', 'casimir', 'force', 'due', 'to', 'the', 'dimensional', 'reduction', 'effect', 'at', 'finite', 'temperature', 'we', 'calculate', 'casimir', 'force', 'due', 'to', 'thermal', 'fluctuation', 'and', 'find', 'an', 'exotic', 'temperature', 'dependent', 'behavior', 'in', 'the', 'first', 'order', 'term', 'finally', 'we', 'speculate', 'some', 'possible', 'experimental', 'realization', 'and', 'detection', 'of', 'the', 'force', 'in', 'future', 'experiments']] | [-0.17700419855468413, 0.22986327540283502, -0.10963365813059842, 0.03131177732173134, -0.04427690032650443, -0.1225170829497716, 0.013289940444862142, 0.3239571031402139, -0.2361120666925083, -0.22970888334709932, 0.00020553499378044815, -0.321819616514532, -0.14714793338823845, 0.19225991249413174, 0.014971156585413743, 0.05620339163305128, -0.00907351597047904, 0.06105909086763859, -0.04096470422809943, -0.2227041624048177, 0.3253054256824886, 0.07195385929936653, 0.3109517799471231, 0.19679668138132375, 0.0804830740315511, -0.019384025245466653, 0.06324373312732752, 0.047263050309437164, -0.1710066695451935, 0.034147856493483925, 0.16640423798166654, -0.11843205745167593, 0.23024296684957601, -0.4466673255843275, -0.21298853364937445, 0.14634242452790633, 0.08902822451337296, 0.1958646960556507, -0.09166413601898753, -0.2714976117014885, -0.04039166891632383, -0.20974929945214707, -0.19375462591209833, -0.15282615223789917, 0.04986779903445174, 0.02339065428275396, -0.25463792470229024, 0.125182400323341, 0.08209636728005375, 0.08288230691926883, -0.11337921914151486, -0.030916263543836333, 0.06142916070461711, 0.05383139905615655, 0.06705255494179095, 0.013191100664655953, 0.21028960896655918, -0.17524371352158008, -0.09602899220224251, 0.39615562794839637, -0.15247891039026024, -0.11634265747578705, 0.20285376347601414, -0.1822876522974933, -0.0638843252816621, 0.09020840304301066, 0.1631288352805902, 0.04507210400573539, -0.11192935144200045, 0.06428083110025481, 0.046224651025498616, 0.18568544593530104, 0.07853742655750146, 0.026101591722930178, 0.2784981714999851, 0.12744373189394964, 0.05838106950087582, 0.23428057297680746, -0.10657661591163453, -0.11588359841159271, -0.3221721947686199, -0.1378774678991998, -0.208074192089193, 0.07293766950640608, -0.06921806353493594, -0.1763364629162585, 0.31718181692721215, 0.19253417335327386, 0.21058497818132096, 0.014370977815569324, 0.32005981325226673, 0.16425038554212626, 0.05266051620025845, -0.0014480331200448905, 0.2943018881675979, 0.1605235936339287, 0.11708252106738441, -0.36873928111265686, -0.06588069000144434, 0.038940365141367214] |
708.3133 | Elliptical hole pockets in the Fermi surfaces of unhydrated and hydrated
sodium cobalt oxides | The surprise discovery of superconductivity below 5K in sodium cobalt oxides
when hydrated with water has caught the attention of experimentalists and
theorists alike. Most explanations for its occurence have focused heavily on
the properties of some small elliptically shaped pockets predicted to be the
electronically dominant Fermi surface sheet, but direct attempts to look for
them have instead cast serious doubts over their existence. Here we present
evidence that these pockets do indeed exist, based on bulk measurements of the
electron momentum distribution in unhydrated and hydrated sodium cobalt oxides
using the technique of x-ray Compton scattering.
| cond-mat.supr-con cond-mat.str-el | the surprise discovery of superconductivity below 5k in sodium cobalt oxides when hydrated with water has caught the attention of experimentalists and theorists alike most explanations for its occurence have focused heavily on the properties of some small elliptically shaped pockets predicted to be the electronically dominant fermi surface sheet but direct attempts to look for them have instead cast serious doubts over their existence here we present evidence that these pockets do indeed exist based on bulk measurements of the electron momentum distribution in unhydrated and hydrated sodium cobalt oxides using the technique of xray compton scattering | [['the', 'surprise', 'discovery', 'of', 'superconductivity', 'below', '5k', 'in', 'sodium', 'cobalt', 'oxides', 'when', 'hydrated', 'with', 'water', 'has', 'caught', 'the', 'attention', 'of', 'experimentalists', 'and', 'theorists', 'alike', 'most', 'explanations', 'for', 'its', 'occurence', 'have', 'focused', 'heavily', 'on', 'the', 'properties', 'of', 'some', 'small', 'elliptically', 'shaped', 'pockets', 'predicted', 'to', 'be', 'the', 'electronically', 'dominant', 'fermi', 'surface', 'sheet', 'but', 'direct', 'attempts', 'to', 'look', 'for', 'them', 'have', 'instead', 'cast', 'serious', 'doubts', 'over', 'their', 'existence', 'here', 'we', 'present', 'evidence', 'that', 'these', 'pockets', 'do', 'indeed', 'exist', 'based', 'on', 'bulk', 'measurements', 'of', 'the', 'electron', 'momentum', 'distribution', 'in', 'unhydrated', 'and', 'hydrated', 'sodium', 'cobalt', 'oxides', 'using', 'the', 'technique', 'of', 'xray', 'compton', 'scattering']] | [-0.09554748350934943, 0.18334330858814776, -0.054488283201900065, 0.07583409183829719, -0.08451912374881913, -0.16387809713713217, 0.1112279974622652, 0.4255126226047168, -0.17692528437699515, -0.2924591274409346, 0.06004565589757142, -0.3636674998632195, -0.123684930750549, 0.19088560630382057, -0.0016599949971981803, 0.01834827273364217, -0.010351821571132359, -0.05248561878783666, -0.10046587342500915, -0.24967515357884065, 0.312758207093088, 0.0572115267978563, 0.2713700803828293, 0.12090786454286806, 0.024216566524677435, -0.022422811998249203, 0.04847201863683912, -0.0077825424223378, -0.15050006887618017, 0.09768741548878654, 0.27583135415239224, 0.021205370209883063, 0.2453538489965152, -0.5066514133228636, -0.23272227633706466, 0.03580004489999645, 0.14558091226784625, 0.1070101285942507, -0.1402662683549166, -0.25525101112220816, 0.027534608092463136, -0.12904452817628578, -0.15147256382684016, -0.08455916913463829, 0.005217267312014437, -0.010854485582522288, -0.11644926110795718, 0.07271896049912487, 0.051373709031209656, 0.08276067663706382, -0.13958897629909559, -0.1896320508450878, -0.04665133409791303, 0.05638248472366415, 0.14534657917992802, 0.005097099682031085, 0.1680692520648317, -0.13492216800852697, -0.07192763887649896, 0.3663312922878077, -0.03403659251741875, -0.06578074835658985, 0.20948207226572368, -0.2168465212476915, -0.12090894054355365, 0.241284715063984, 0.1288128512987525, 0.11280633194600137, -0.1293803611278774, 0.035355654957333615, -0.09720561744607224, 0.19771834374975641, 0.10644611984738434, 0.07703951329981186, 0.32253157934744137, 0.1933126908391999, -0.020978228666591554, 0.06006755251009777, -0.13746368000075954, 0.0034177919697700714, -0.14488287492446145, -0.15277018259298436, -0.15909019012802414, 0.05668946503357468, 0.016995326729315544, -0.2236944936139851, 0.2942354249312395, 0.13082445434731793, 0.18726661597967756, -0.10070440427837324, 0.23996251494604715, 0.0304424408953922, 0.07960126240386114, 0.0330119679102256, 0.2845911058108441, 0.12567597669929417, 0.08843244652487148, -0.21446963803479163, 0.16570630710220383, -0.0091227901605319] |
708.3134 | Pseudoknot RNA Structures with Arc-Length $\ge 3$ | In this paper we study $k$-noncrossing RNA structures with arc-length $\ge
3$, i.e. RNA molecules in which for any $i$, the nucleotides labeled $i$ and
$i+j$ ($j=1,2$) cannot form a bond and in which there are at most $k-1$
mutually crossing arcs. Let ${\sf S}_{k,3}(n)$ denote their number. Based on a
novel functional equation for the generating function $\sum_{n\ge 0}{\sf
S}_{k,3}(n)z^n$, we derive for arbitrary $k\ge 3$ exponential growth factors
and for $k=3$ the subexponential factor. Our main result is the derivation of
the formula ${\sf S}_{3,3}(n) \sim \frac{6.11170\cdot 4!}{n(n-1)...(n-4)}
4.54920^n$.
| math.CO q-bio.BM | in this paper we study knoncrossing rna structures with arclength ge 3 ie rna molecules in which for any i the nucleotides labeled i and ij j12 cannot form a bond and in which there are at most k1 mutually crossing arcs let sf s_k3n denote their number based on a novel functional equation for the generating function sum_nge 0sf s_k3nzn we derive for arbitrary kge 3 exponential growth factors and for k3 the subexponential factor our main result is the derivation of the formula sf s_33n sim frac611170cdot 4nn1n4 454920n | [['in', 'this', 'paper', 'we', 'study', 'knoncrossing', 'rna', 'structures', 'with', 'arclength', 'ge', '3', 'ie', 'rna', 'molecules', 'in', 'which', 'for', 'any', 'i', 'the', 'nucleotides', 'labeled', 'i', 'and', 'ij', 'j12', 'can', 'not', 'form', 'a', 'bond', 'and', 'in', 'which', 'there', 'are', 'at', 'most', 'k1', 'mutually', 'crossing', 'arcs', 'let', 'sf', 's_k3n', 'denote', 'their', 'number', 'based', 'on', 'a', 'novel', 'functional', 'equation', 'for', 'the', 'generating', 'function', 'sum_nge', '0sf', 's_k3nzn', 'we', 'derive', 'for', 'arbitrary', 'kge', '3', 'exponential', 'growth', 'factors', 'and', 'for', 'k3', 'the', 'subexponential', 'factor', 'our', 'main', 'result', 'is', 'the', 'derivation', 'of', 'the', 'formula', 'sf', 's_33n', 'sim', 'frac611170cdot', '4nn1n4', '454920n']] | [-0.17388674361241419, 0.1470445791519312, -0.013344244885280035, 0.03267520752757094, -0.033689395497488075, -0.167317945591369, 0.03239739830010072, 0.34239768940240667, -0.24098399605704904, -0.2539408345121977, 0.015265621208358383, -0.292438734084541, -0.16842238048394753, 0.13377980099514472, -0.01050207821170388, -0.043832563268573044, -0.020327409577750883, 0.034767406770612956, -0.013212899774919415, -0.2427890818176228, 0.3269859973211275, -0.06450111273578693, 0.17082930928594325, 0.05709550189135899, 0.06287133339034437, 0.013240326883617875, 0.01920477115700758, -0.027573181651965824, -0.26956746391518865, 0.1447451489241144, 0.2613620025614753, 0.14647358213551342, 0.23497979206487882, -0.4154887261562223, -0.1306484014034098, 0.17908243392052692, 0.19458140434188292, 0.0693538366183422, -0.021108590463057245, -0.18653585781278306, 0.14346357116605654, -0.12780562254361982, -0.11837788672338045, -0.03454798755106018, 0.10877382404409176, 0.05415458375179252, -0.31666861858413836, 0.06529108342866219, 0.09663331744715918, 0.08906870688918199, -0.04407806774915391, -0.18440280376586976, -0.01538168586151631, 0.07591628399136108, -0.012158019849922248, 0.09703027274253843, 0.04868155773147009, -0.10883085309056738, -0.10388514127712263, 0.3364500621615281, -0.04140222367159156, -0.18970138194505803, 0.10806447681483575, -0.17939982939035046, -0.199944126565919, 0.11618854379725405, 0.10007434941660397, 0.1519662916043037, -0.08899961091404737, 0.11158729679029716, -0.036284697187934506, 0.15910586781886427, 0.14350529985913876, -0.010142121420696724, 0.12817015550857366, 0.11238796330533575, 0.05544310691224974, 0.11253740275711861, -0.060960939248785546, -0.016549448184885605, -0.332470903692897, -0.19779911967600847, -0.21003940190340198, 0.1285135446383339, -0.1532351099068724, -0.17190437077349702, 0.36734820543625935, 0.025989461056671517, 0.20173390698619187, 0.16201674243229505, 0.20730749667394732, 0.12199838819702394, 0.05520843760771027, 0.10351952832342101, 0.046004219189134624, 0.11844733588365015, -0.05193691771629071, -0.17846837776258243, 0.09103248269990259, 0.10760616787254464] |
708.3135 | Mid-Infrared Instrumentation for the European Extremely Large Telescope | MIDIR is the proposed thermal/mid-IR imager and spectrograph for the European
Extremely Large Telescope (E-ELT). It will cover the wavelength range of 3 to
at least 20 microns. Designed for diffraction-limited performance over the
entire wavelength range, MIDIR will require an adaptive optics system; a
cryogenically cooled system could offer optimal performance in the IR, and this
is a critical aspect of the instrument design. We present here an overview of
the project, including a discussion of MIDIR's science goals and a comparison
with other infrared (IR) facilities planned in the next decade; top level
requirements derived from these goals are outlined. We describe the optical and
mechanical design work carried out in the context of a conceptual design study,
and discuss some important issues to emerge from this work, related to the
design, operation and calibration of the instrument. The impact of telescope
optical design choices on the requirements for the MIDIR instrument is
demonstrated.
| astro-ph | midir is the proposed thermalmidir imager and spectrograph for the european extremely large telescope eelt it will cover the wavelength range of 3 to at least 20 microns designed for diffractionlimited performance over the entire wavelength range midir will require an adaptive optics system a cryogenically cooled system could offer optimal performance in the ir and this is a critical aspect of the instrument design we present here an overview of the project including a discussion of midirs science goals and a comparison with other infrared ir facilities planned in the next decade top level requirements derived from these goals are outlined we describe the optical and mechanical design work carried out in the context of a conceptual design study and discuss some important issues to emerge from this work related to the design operation and calibration of the instrument the impact of telescope optical design choices on the requirements for the midir instrument is demonstrated | [['midir', 'is', 'the', 'proposed', 'thermalmidir', 'imager', 'and', 'spectrograph', 'for', 'the', 'european', 'extremely', 'large', 'telescope', 'eelt', 'it', 'will', 'cover', 'the', 'wavelength', 'range', 'of', '3', 'to', 'at', 'least', '20', 'microns', 'designed', 'for', 'diffractionlimited', 'performance', 'over', 'the', 'entire', 'wavelength', 'range', 'midir', 'will', 'require', 'an', 'adaptive', 'optics', 'system', 'a', 'cryogenically', 'cooled', 'system', 'could', 'offer', 'optimal', 'performance', 'in', 'the', 'ir', 'and', 'this', 'is', 'a', 'critical', 'aspect', 'of', 'the', 'instrument', 'design', 'we', 'present', 'here', 'an', 'overview', 'of', 'the', 'project', 'including', 'a', 'discussion', 'of', 'midirs', 'science', 'goals', 'and', 'a', 'comparison', 'with', 'other', 'infrared', 'ir', 'facilities', 'planned', 'in', 'the', 'next', 'decade', 'top', 'level', 'requirements', 'derived', 'from', 'these', 'goals', 'are', 'outlined', 'we', 'describe', 'the', 'optical', 'and', 'mechanical', 'design', 'work', 'carried', 'out', 'in', 'the', 'context', 'of', 'a', 'conceptual', 'design', 'study', 'and', 'discuss', 'some', 'important', 'issues', 'to', 'emerge', 'from', 'this', 'work', 'related', 'to', 'the', 'design', 'operation', 'and', 'calibration', 'of', 'the', 'instrument', 'the', 'impact', 'of', 'telescope', 'optical', 'design', 'choices', 'on', 'the', 'requirements', 'for', 'the', 'midir', 'instrument', 'is', 'demonstrated']] | [-0.09865364142808483, 0.0843615965547672, -0.07931664123429687, 0.009384098315351436, -0.10030063941421641, -0.12889567702440183, 0.020128220593399526, 0.4407497364785764, -0.2005587287501178, -0.34315708576544346, 0.17782431747537567, -0.2447572401240952, -0.12626920734243408, 0.2682188006235867, -0.08071695321674954, 0.0614406468963565, 0.08840693747654993, -0.08750216551457665, -0.029653340324082157, -0.24819848348171897, 0.2661398111346674, 0.19474380734896699, 0.2911867660851302, 0.0408885571168276, 0.12283254236998883, -0.025032588814055644, -0.08008977315424905, -0.02118707573881929, -0.14383963106635522, 0.11566475568363419, 0.3353518963876096, 0.13465975837286126, 0.30735995496438767, -0.35722400906024043, -0.1555143297852513, 0.03457784012501285, 0.09171489774938915, 0.0033348238779014193, -0.030140026202637026, -0.23383789810702785, 0.01532177045388002, -0.15641117718844832, -0.17451220358322775, -0.021648313620357545, -0.03447581712737099, 0.03475859034020309, -0.2357466487068828, -0.12363592391590249, -0.027769823047610654, 0.11375956274810936, -0.0787211886573849, -0.15194963849022647, 0.028920231881406303, 0.13672880590711903, -0.05668520957515756, 0.013061487103257535, 0.1276474613061344, -0.15778258222747932, -0.06845573701687133, 0.38726737435495895, -0.043412898449444924, -0.047629310413832206, 0.1707754899904906, -0.16414198224952856, -0.12883029247380115, 0.1168305120588123, 0.2071022597782604, 0.09782983479997168, -0.1667271337786375, 0.06590013949929241, 0.05008152031714653, 0.23304115242457815, 0.04583122555239053, 0.14500846938750186, 0.2713220161899876, 0.2645395256203974, 0.06966749770157099, 0.1561448866196805, -0.19925609690457727, -0.046752917489593294, -0.3213561825974324, -0.14007615917906552, -0.11868513007073772, 0.04631610510435391, -0.0276092788858064, -0.06762677795169028, 0.3900209964047392, 0.21879505411745956, 0.10773960471020214, 0.008194351783506089, 0.33451911845159804, 0.02637798829282356, 0.11542448119332942, -0.010204269654305, 0.3346020538254426, 0.03439337821895039, 0.18154874247386932, -0.21132589564598225, -0.031078753433516855, -0.01143370780567699] |
708.3136 | Atmospheric instability as a loss of a metastable equilibrium | General thermodynamic theory of metastable states is used in this short note
to try to understand better atmospheric instabilities. It is shown that not
only cooling of a cloud can lead to rain, but heating also, especially when
there are charged water drops in a cloud (in this case we have rain with
lightning). The influence of the global warming on weather is discussed.
| physics.ao-ph physics.chem-ph | general thermodynamic theory of metastable states is used in this short note to try to understand better atmospheric instabilities it is shown that not only cooling of a cloud can lead to rain but heating also especially when there are charged water drops in a cloud in this case we have rain with lightning the influence of the global warming on weather is discussed | [['general', 'thermodynamic', 'theory', 'of', 'metastable', 'states', 'is', 'used', 'in', 'this', 'short', 'note', 'to', 'try', 'to', 'understand', 'better', 'atmospheric', 'instabilities', 'it', 'is', 'shown', 'that', 'not', 'only', 'cooling', 'of', 'a', 'cloud', 'can', 'lead', 'to', 'rain', 'but', 'heating', 'also', 'especially', 'when', 'there', 'are', 'charged', 'water', 'drops', 'in', 'a', 'cloud', 'in', 'this', 'case', 'we', 'have', 'rain', 'with', 'lightning', 'the', 'influence', 'of', 'the', 'global', 'warming', 'on', 'weather', 'is', 'discussed']] | [-0.0861281197558128, 0.21311114165291656, -0.09806312649379834, 0.13979244273832592, -0.015280685871402966, -0.08958688174607232, 0.03542533605104836, 0.3938126649882179, -0.23091592398122884, -0.2623191513994243, 0.12814633159177902, -0.26507657144975383, -0.1508088305417914, 0.17252766503952444, -0.12802279625611845, 0.0123272074124543, 0.05119054300303105, 0.0305610949289985, -0.01826873267054907, -0.28153322223806754, 0.27063044037640793, 0.11289358006615657, 0.24712107704544906, 0.14510573779261904, 0.014947313000448048, -0.13385928363277344, 0.013889977351936977, 0.0310183469846379, -0.10869554448129293, 0.031049663007252093, 0.26825344597455114, 0.11580954220698914, 0.23119845284963958, -0.501471913914429, -0.2846209920971887, 0.13392853627738077, 0.13197827748808777, 0.12453459243988618, -0.051109049391016015, -0.1966121147161175, 0.059697533113649115, -0.16877376539923716, -0.122282708820876, -0.05337596558092628, 0.02301407801132882, 0.010931438022453221, -0.24840915497770766, 0.058475736349919316, 0.06971145411080215, 0.06075650379352737, -0.0780526047492458, -0.06584172743714589, -0.04493884678231552, 0.10837627318551313, 0.11669899940534378, 0.031954338700415974, 0.17437753210106166, -0.134402016432432, 0.014685137488413602, 0.44652740881429054, -0.06834087047172943, -0.16489277811342617, 0.25871875509619713, -0.17884475970640779, -0.15129142315709032, 0.1640111035812879, 0.1643818536613253, 0.09144204158656066, -0.14210005596146402, -0.019706696315552108, -0.05927072338818107, 0.13247538049472496, 0.09253351324150572, 0.00951408802302467, 0.2483727209328208, 0.20096245496461052, 0.09457315270628897, 0.15300518058938906, -0.11286860568816337, -0.11824367883673403, -0.231720587820746, -0.1335242989298422, -0.09589190054975916, 0.07033754642566237, 0.0024249243579106405, -0.18440930862698224, 0.3667508852377068, 0.2312041654731729, 0.16585627030144678, -0.04397040306503186, 0.2931223165942356, 0.08256460417760536, 0.051653640972290304, 0.10184900921740336, 0.2844549878500402, 0.07239814732020022, 0.15375932389724767, -0.21740089081868064, 0.1180675798896118, 0.016421732023445657] |
708.3137 | Recent Developments on Kaon Condensation and Its Astrophysical
Implications | We discuss three different ways to arrive at kaon condensation at n_c = 3 n_0
where n_0 is nuclear matter density: (1) Fluctuating around the n=0 vacuum in
chiral perturbation theory, (2) fluctuating around n_VM near the chiral
restoration density n_chi where the vector manifestation of hidden local
symmetry is reached and (3) fluctuating around the Fermi liquid fixed point at
n_0. They all share one common theoretical basis, "hidden local symmetry." We
argue that when the critical density n_c < n_chi is reached in a neutron star,
the electrons turn into K^- mesons, which go into an S-wave Bose condensate.
This reduces the pressure substantially and the neutron star goes into a black
hole. Next we develop the argument that the collapse of a neutron star into a
black hole takes place for a star of M = 1.5 M_sun. This means that Supernova
1987A had a black hole as result. We also show that two neutron stars in a
binary have to be within 4% of each other in mass, for neutron stars
sufficiently massive that they escape helium shell burning. For those that are
so light that they do have helium shell burning, after a small correction for
this they must be within 4% of each other in mass. Observations support the
proximity in mass inside of a neutron star binary. The result of strangeness
condensation is that there are 5 times more low-mass black-hole, neutron-star
binaries than double neutron-star binaries although the former are difficult to
observe.
| hep-ph astro-ph nucl-th | we discuss three different ways to arrive at kaon condensation at n_c 3 n_0 where n_0 is nuclear matter density 1 fluctuating around the n0 vacuum in chiral perturbation theory 2 fluctuating around n_vm near the chiral restoration density n_chi where the vector manifestation of hidden local symmetry is reached and 3 fluctuating around the fermi liquid fixed point at n_0 they all share one common theoretical basis hidden local symmetry we argue that when the critical density n_c n_chi is reached in a neutron star the electrons turn into k mesons which go into an swave bose condensate this reduces the pressure substantially and the neutron star goes into a black hole next we develop the argument that the collapse of a neutron star into a black hole takes place for a star of m 15 m_sun this means that supernova 1987a had a black hole as result we also show that two neutron stars in a binary have to be within 4 of each other in mass for neutron stars sufficiently massive that they escape helium shell burning for those that are so light that they do have helium shell burning after a small correction for this they must be within 4 of each other in mass observations support the proximity in mass inside of a neutron star binary the result of strangeness condensation is that there are 5 times more lowmass blackhole neutronstar binaries than double neutronstar binaries although the former are difficult to observe | [['we', 'discuss', 'three', 'different', 'ways', 'to', 'arrive', 'at', 'kaon', 'condensation', 'at', 'n_c', '3', 'n_0', 'where', 'n_0', 'is', 'nuclear', 'matter', 'density', '1', 'fluctuating', 'around', 'the', 'n0', 'vacuum', 'in', 'chiral', 'perturbation', 'theory', '2', 'fluctuating', 'around', 'n_vm', 'near', 'the', 'chiral', 'restoration', 'density', 'n_chi', 'where', 'the', 'vector', 'manifestation', 'of', 'hidden', 'local', 'symmetry', 'is', 'reached', 'and', '3', 'fluctuating', 'around', 'the', 'fermi', 'liquid', 'fixed', 'point', 'at', 'n_0', 'they', 'all', 'share', 'one', 'common', 'theoretical', 'basis', 'hidden', 'local', 'symmetry', 'we', 'argue', 'that', 'when', 'the', 'critical', 'density', 'n_c', 'n_chi', 'is', 'reached', 'in', 'a', 'neutron', 'star', 'the', 'electrons', 'turn', 'into', 'k', 'mesons', 'which', 'go', 'into', 'an', 'swave', 'bose', 'condensate', 'this', 'reduces', 'the', 'pressure', 'substantially', 'and', 'the', 'neutron', 'star', 'goes', 'into', 'a', 'black', 'hole', 'next', 'we', 'develop', 'the', 'argument', 'that', 'the', 'collapse', 'of', 'a', 'neutron', 'star', 'into', 'a', 'black', 'hole', 'takes', 'place', 'for', 'a', 'star', 'of', 'm', '15', 'm_sun', 'this', 'means', 'that', 'supernova', '1987a', 'had', 'a', 'black', 'hole', 'as', 'result', 'we', 'also', 'show', 'that', 'two', 'neutron', 'stars', 'in', 'a', 'binary', 'have', 'to', 'be', 'within', '4', 'of', 'each', 'other', 'in', 'mass', 'for', 'neutron', 'stars', 'sufficiently', 'massive', 'that', 'they', 'escape', 'helium', 'shell', 'burning', 'for', 'those', 'that', 'are', 'so', 'light', 'that', 'they', 'do', 'have', 'helium', 'shell', 'burning', 'after', 'a', 'small', 'correction', 'for', 'this', 'they', 'must', 'be', 'within', '4', 'of', 'each', 'other', 'in', 'mass', 'observations', 'support', 'the', 'proximity', 'in', 'mass', 'inside', 'of', 'a', 'neutron', 'star', 'binary', 'the', 'result', 'of', 'strangeness', 'condensation', 'is', 'that', 'there', 'are', '5', 'times', 'more', 'lowmass', 'blackhole', 'neutronstar', 'binaries', 'than', 'double', 'neutronstar', 'binaries', 'although', 'the', 'former', 'are', 'difficult', 'to', 'observe']] | [-0.10334127960523481, 0.24971111120543252, -0.10246779902381936, 0.12033912783294448, -0.03912422949587738, -0.11520582679960771, 0.07214880875935815, 0.3316090064130814, -0.14661451431862285, -0.28737997270456933, 0.04437790570972932, -0.33326635344108557, -0.009634325139390432, 0.1323950991335208, 0.00677732040592835, -0.02583797080329193, 0.03848440729945084, 0.08952039656293416, -0.11855641454986111, -0.24597287787264024, 0.35564217310180124, -0.013526909965795544, 0.15720625082125156, 0.033393913740480716, 0.025163826312085514, -0.039849394114182785, 0.06041879458013575, -0.01626610812666988, -0.13450221321569106, -0.016986518847541168, 0.2613040241967205, 0.11017698947875666, 0.2208935502343453, -0.44371248871184177, -0.22589703064849262, 0.07181324627672733, 0.19207085824104003, 0.11366207455520552, -0.08779597869276037, -0.22306241547247688, 0.12095856177149272, -0.25101671728346997, -0.1782360409352521, -0.017878866098398862, 0.05656889360586581, -0.007405816622739206, -0.23828008981008716, 0.08931606678659311, 0.08025369763436542, -0.037133010004379366, -0.09104842387388652, -0.12230265092176314, -0.0502806217070322, 0.04934578034086511, 0.07374522101835382, 0.09822399431824504, 0.18752824509919805, -0.15187758650877684, -0.008084545913058133, 0.38772588144791753, -0.04170272355977689, -0.0831435731676245, 0.1637044873169665, -0.23123709697593078, -0.18742240157528867, 0.1781159982175721, 0.1333449431445246, 0.12886461505462765, -0.11958399850825416, 0.013730619130995471, -0.04641368196426932, 0.20854692288492013, 0.11889774399820852, 0.032417040065065, 0.3692756981102501, 0.18423301800199396, 0.027880479285666938, 0.05432690521994387, -0.15446201084287242, -0.07055296757171753, -0.28083106299894317, -0.10738884294518695, -0.15969237678840772, 0.11073556315787288, -0.13322075148952486, -0.12137602925345845, 0.27987648063030107, 0.07928124009367636, 0.2019968841051464, -0.016466976910252652, 0.2532231594918499, 0.10099308083337252, 0.06811462669833167, 0.12821308332721623, 0.3008749657027755, 0.1776588971779384, 0.08526035461778401, -0.2499477810411137, -0.021630697541371525, 0.03897076616533146] |
708.3138 | Dynamics of condensation of wetting layer in time-dependent
Ginzburg-Landau model | The dynamics of liquid condensation on a substrate or within a capillary is
studied when the wetting film grows via interface-limited growth. We use a
phenomenological time-dependent Ginzburg-Landau (TDGL)-type model with
long-range substrate potential. Using an order parameter, which does not
directly represent the density, we can derive an analytic formula for the
interfacial growth velocity that is directly related to the substrate
potential. Using this analytic expression the growth of wetting film is shown
to conform to a power-law-type growth, which is due to the presence of a
long-range dispersion force.
| cond-mat.soft | the dynamics of liquid condensation on a substrate or within a capillary is studied when the wetting film grows via interfacelimited growth we use a phenomenological timedependent ginzburglandau tdgltype model with longrange substrate potential using an order parameter which does not directly represent the density we can derive an analytic formula for the interfacial growth velocity that is directly related to the substrate potential using this analytic expression the growth of wetting film is shown to conform to a powerlawtype growth which is due to the presence of a longrange dispersion force | [['the', 'dynamics', 'of', 'liquid', 'condensation', 'on', 'a', 'substrate', 'or', 'within', 'a', 'capillary', 'is', 'studied', 'when', 'the', 'wetting', 'film', 'grows', 'via', 'interfacelimited', 'growth', 'we', 'use', 'a', 'phenomenological', 'timedependent', 'ginzburglandau', 'tdgltype', 'model', 'with', 'longrange', 'substrate', 'potential', 'using', 'an', 'order', 'parameter', 'which', 'does', 'not', 'directly', 'represent', 'the', 'density', 'we', 'can', 'derive', 'an', 'analytic', 'formula', 'for', 'the', 'interfacial', 'growth', 'velocity', 'that', 'is', 'directly', 'related', 'to', 'the', 'substrate', 'potential', 'using', 'this', 'analytic', 'expression', 'the', 'growth', 'of', 'wetting', 'film', 'is', 'shown', 'to', 'conform', 'to', 'a', 'powerlawtype', 'growth', 'which', 'is', 'due', 'to', 'the', 'presence', 'of', 'a', 'longrange', 'dispersion', 'force']] | [-0.10899436701431993, 0.15383986767751145, -0.12899608367665127, 0.011927320763908818, -0.10217022108794241, -0.11465670174028683, 0.015927775536541018, 0.33813323025274405, -0.2649646336391855, -0.2614231883640309, 0.052453930131517924, -0.26649595655828384, -0.175147482554766, 0.16536251528976628, 0.00040999533618790105, 0.042802948115782426, -0.07135148010994462, -0.010349093578182735, -0.03918482837840342, -0.18911185270625647, 0.3059486606577923, 0.02796059783425305, 0.29083437173228177, 0.14962050244007463, 0.05612814365016235, -0.008250015741725871, 0.10654141790243787, 0.046887776343622706, -0.24916553295994304, 0.0822453242368423, 0.16948626626917457, -0.046466946842374054, 0.22746200674305578, -0.4811409168191009, -0.26564343081234576, 0.04862235510046338, 0.1447224014407986, 0.17970423730714555, -0.0674181616018209, -0.23633658398802465, 0.025721956361699234, -0.163412545070789, -0.1614133524350249, -0.05856203400417344, 0.021882213815882966, 0.04134906649270995, -0.29200695720654757, 0.11229357150367943, 0.023579688210572516, 0.035193168386755576, -0.093933372011224, -0.009405694543742217, -0.09125301020813513, 0.07576124063228605, 0.06888754300358654, 0.06738404440949415, 0.19584857161760658, -0.12696360692044126, -0.01754449929141409, 0.3744702178288947, -0.09243137974952154, -0.2181230870044821, 0.1974982550203964, -0.16122007565470514, -0.0037294065288813647, 0.1763081949736391, 0.15859010423582232, 0.07330308097240688, -0.16209252549486955, 0.07414850857681952, 0.015048063241180729, 0.24576232635549136, 0.07320204186048564, -0.08782184159301304, 0.1966921964885442, 0.22212293230068797, 0.047942373308015394, 0.14558440650516485, -0.0869558159326546, -0.10803187079215934, -0.28695382362047395, -0.17955303815408394, -0.22106215495943696, 0.06508490223975488, -0.08900016572858606, -0.2483722248513144, 0.33536834773290286, 0.11177373567473266, 0.18122872096169126, 0.05803201316118977, 0.2567827562263599, 0.14986452828468447, 0.09273653041448567, 0.004342683222513278, 0.2351082414695686, 0.16459118556435948, 0.0810134845765328, -0.2519578384798389, 0.1487508210312616, 0.054167794721242] |
708.3139 | Baryon vector and axial content up to the 7Q component | We have used the light-cone formulation of Chiral-Quark Soliton Model to
investigate the vector and axial content of octet, decuplet and the
hypothetical antidecuplet in the flavor SU(3) symmetry limit. We have extended
previous works by computing the 7Q contribution to vector and axial charges for
the octet and antidecuplet but stayed at the 5Q sector for the decuplet where
the full computation needs much more time. As expected the 7Q component has a
weaker impact on the quantities but still changes them by a few percent. We
give also a detailed decomposition of those charges into flavor, valence quark,
sea quark and antiquark contributions. Many of them are of course not (yet)
measured or estimated and constitute then a theoretical estimation. Among the
different interesting observations made in this work are the explicit
quadrupole deformation of decuplet baryons due to the pion field and the sum of
quark spins larger than the pentaquark one.
| hep-ph | we have used the lightcone formulation of chiralquark soliton model to investigate the vector and axial content of octet decuplet and the hypothetical antidecuplet in the flavor su3 symmetry limit we have extended previous works by computing the 7q contribution to vector and axial charges for the octet and antidecuplet but stayed at the 5q sector for the decuplet where the full computation needs much more time as expected the 7q component has a weaker impact on the quantities but still changes them by a few percent we give also a detailed decomposition of those charges into flavor valence quark sea quark and antiquark contributions many of them are of course not yet measured or estimated and constitute then a theoretical estimation among the different interesting observations made in this work are the explicit quadrupole deformation of decuplet baryons due to the pion field and the sum of quark spins larger than the pentaquark one | [['we', 'have', 'used', 'the', 'lightcone', 'formulation', 'of', 'chiralquark', 'soliton', 'model', 'to', 'investigate', 'the', 'vector', 'and', 'axial', 'content', 'of', 'octet', 'decuplet', 'and', 'the', 'hypothetical', 'antidecuplet', 'in', 'the', 'flavor', 'su3', 'symmetry', 'limit', 'we', 'have', 'extended', 'previous', 'works', 'by', 'computing', 'the', '7q', 'contribution', 'to', 'vector', 'and', 'axial', 'charges', 'for', 'the', 'octet', 'and', 'antidecuplet', 'but', 'stayed', 'at', 'the', '5q', 'sector', 'for', 'the', 'decuplet', 'where', 'the', 'full', 'computation', 'needs', 'much', 'more', 'time', 'as', 'expected', 'the', '7q', 'component', 'has', 'a', 'weaker', 'impact', 'on', 'the', 'quantities', 'but', 'still', 'changes', 'them', 'by', 'a', 'few', 'percent', 'we', 'give', 'also', 'a', 'detailed', 'decomposition', 'of', 'those', 'charges', 'into', 'flavor', 'valence', 'quark', 'sea', 'quark', 'and', 'antiquark', 'contributions', 'many', 'of', 'them', 'are', 'of', 'course', 'not', 'yet', 'measured', 'or', 'estimated', 'and', 'constitute', 'then', 'a', 'theoretical', 'estimation', 'among', 'the', 'different', 'interesting', 'observations', 'made', 'in', 'this', 'work', 'are', 'the', 'explicit', 'quadrupole', 'deformation', 'of', 'decuplet', 'baryons', 'due', 'to', 'the', 'pion', 'field', 'and', 'the', 'sum', 'of', 'quark', 'spins', 'larger', 'than', 'the', 'pentaquark', 'one']] | [-0.07815547298649143, 0.21879627800765722, -0.06715465503671736, 0.13439966932249567, -0.09560772974129303, -0.08560678252670305, 0.09151448443793735, 0.3662366282462684, -0.14479026390358293, -0.29094502744356204, 0.03001141111865591, -0.2923387074203906, -0.022920103568668946, 0.07358979452949237, 0.058880236505240116, 0.03430518500805144, 0.018295449728231414, 0.08323160727855329, -0.08334100168400742, -0.24613433768303175, 0.3122547064127752, -0.02348512675296637, 0.23357595702377604, 0.12322958038352869, 0.04051407223591715, -0.0016390295369014924, -0.04021302096277865, -0.045772639425848825, -0.08208246607016893, 0.10976022079415212, 0.18036137462716878, 0.058959003690070184, 0.16496594197548975, -0.4189279937654052, -0.1667531374081044, 0.11312025905970265, 0.16845247468430233, 0.16461745564052774, -0.028694669639686383, -0.2996434673493472, 0.09494926507456922, -0.22358749828794422, -0.1498225675561021, -0.1401863205064015, 0.03040363453100344, -0.046802419907370815, -0.2548667600140998, 0.09411771106514684, 0.0009445772001069355, 0.05037672096084243, -0.056301273075328055, -0.2697481669917751, -0.06254518737109512, 0.09610259064375819, 0.14615308197467813, 0.08347480895691643, 0.13119529388324522, -0.1788117025196674, -0.10577856871189878, 0.44346059820450406, -0.03512379396723939, -0.2030991173282363, 0.10233878298035634, -0.1626456072264856, -0.1585526734627053, 0.08720988563217795, 0.1660694361122605, 0.07718092056156405, -0.16699088921806976, 0.07123523878178627, -0.0563670522685534, 0.15825993928973095, 0.07570310019175797, 0.0925854971522794, 0.25365288737016956, 0.1212445817137551, -0.005455236763653826, 0.09200296809461601, -0.049550864646543014, -0.11007655624701988, -0.31694875306334175, -0.09840760294125823, -0.12671986999586712, 0.05474153973530823, -0.07719161410999006, -0.1109999846800206, 0.42805261829003594, 0.08921624405394776, 0.19553758200635415, 0.004363566705518786, 0.3114374601647404, 0.07611471174012419, 0.12880833106103287, 0.08851772380591023, 0.2771157579286499, 0.2093258785248241, 0.12371105249417418, -0.23540857683081984, -0.009904177822903091, 0.06295851210673992] |
708.314 | Optical Identification of 15 Micron Sources in the AKARI Performance
Verification Field toward the North Ecliptic Pole | We present the results of optical identifications for 257 mid-infrared
sources detected with a deep 15um survey over approximately 80 arcmin^2 area in
the AKARI performance verification field near the North Ecliptic Pole. The 15um
fluxes of the sources range from 1 mJy down to 40 uJy, approximately a half of
which are below 100 uJy. Optical counterparts were searched for within a 2-3
arcsec radius in both the BVRi'z' catalog generated by using the deep
Subaru/Suprime-cam field which covers one-third of the performance verification
field, and the g'r'i'z' catalog based on observations made with MegaCam at
CFHT. We found B-R and R-z' colours of sources with successful optical
identifications are systematically redder than that of the entire optical
sample in the same field. Moreover, approximately 40% of the 15um sources show
colours R-L15>5, which cannot be explained by the spectral energy distribution
(SED) of normal quiescent spiral galaxies, but are consistent with SEDs of
redshifted (z>1) starburst or ultraluminous infrared galaxies. This result
indicates that the fraction of the ultraluminous infrared galaxies in our faint
15um sample is much larger than that in our brighter 15um sources, which is
consistent with the evolving mid-infrared luminosity function derived by recent
studies based on the Spitzer 24um deep surveys. Based on an SED fitting
technique, the nature of the faint 15um sources is further discussed for a
selected number of sources with available K_s-band data.
| astro-ph | we present the results of optical identifications for 257 midinfrared sources detected with a deep 15um survey over approximately 80 arcmin2 area in the akari performance verification field near the north ecliptic pole the 15um fluxes of the sources range from 1 mjy down to 40 ujy approximately a half of which are below 100 ujy optical counterparts were searched for within a 23 arcsec radius in both the bvriz catalog generated by using the deep subarusuprimecam field which covers onethird of the performance verification field and the griz catalog based on observations made with megacam at cfht we found br and rz colours of sources with successful optical identifications are systematically redder than that of the entire optical sample in the same field moreover approximately 40 of the 15um sources show colours rl155 which cannot be explained by the spectral energy distribution sed of normal quiescent spiral galaxies but are consistent with seds of redshifted z1 starburst or ultraluminous infrared galaxies this result indicates that the fraction of the ultraluminous infrared galaxies in our faint 15um sample is much larger than that in our brighter 15um sources which is consistent with the evolving midinfrared luminosity function derived by recent studies based on the spitzer 24um deep surveys based on an sed fitting technique the nature of the faint 15um sources is further discussed for a selected number of sources with available k_sband data | [['we', 'present', 'the', 'results', 'of', 'optical', 'identifications', 'for', '257', 'midinfrared', 'sources', 'detected', 'with', 'a', 'deep', '15um', 'survey', 'over', 'approximately', '80', 'arcmin2', 'area', 'in', 'the', 'akari', 'performance', 'verification', 'field', 'near', 'the', 'north', 'ecliptic', 'pole', 'the', '15um', 'fluxes', 'of', 'the', 'sources', 'range', 'from', '1', 'mjy', 'down', 'to', '40', 'ujy', 'approximately', 'a', 'half', 'of', 'which', 'are', 'below', '100', 'ujy', 'optical', 'counterparts', 'were', 'searched', 'for', 'within', 'a', '23', 'arcsec', 'radius', 'in', 'both', 'the', 'bvriz', 'catalog', 'generated', 'by', 'using', 'the', 'deep', 'subarusuprimecam', 'field', 'which', 'covers', 'onethird', 'of', 'the', 'performance', 'verification', 'field', 'and', 'the', 'griz', 'catalog', 'based', 'on', 'observations', 'made', 'with', 'megacam', 'at', 'cfht', 'we', 'found', 'br', 'and', 'rz', 'colours', 'of', 'sources', 'with', 'successful', 'optical', 'identifications', 'are', 'systematically', 'redder', 'than', 'that', 'of', 'the', 'entire', 'optical', 'sample', 'in', 'the', 'same', 'field', 'moreover', 'approximately', '40', 'of', 'the', '15um', 'sources', 'show', 'colours', 'rl155', 'which', 'can', 'not', 'be', 'explained', 'by', 'the', 'spectral', 'energy', 'distribution', 'sed', 'of', 'normal', 'quiescent', 'spiral', 'galaxies', 'but', 'are', 'consistent', 'with', 'seds', 'of', 'redshifted', 'z1', 'starburst', 'or', 'ultraluminous', 'infrared', 'galaxies', 'this', 'result', 'indicates', 'that', 'the', 'fraction', 'of', 'the', 'ultraluminous', 'infrared', 'galaxies', 'in', 'our', 'faint', '15um', 'sample', 'is', 'much', 'larger', 'than', 'that', 'in', 'our', 'brighter', '15um', 'sources', 'which', 'is', 'consistent', 'with', 'the', 'evolving', 'midinfrared', 'luminosity', 'function', 'derived', 'by', 'recent', 'studies', 'based', 'on', 'the', 'spitzer', '24um', 'deep', 'surveys', 'based', 'on', 'an', 'sed', 'fitting', 'technique', 'the', 'nature', 'of', 'the', 'faint', '15um', 'sources', 'is', 'further', 'discussed', 'for', 'a', 'selected', 'number', 'of', 'sources', 'with', 'available', 'k_sband', 'data']] | [-0.01604399373471283, 0.055449431752211426, -0.07821296075753008, 0.08015362949222007, -0.08231013428228788, -0.037266188186720714, 0.06740061887719023, 0.5083204898341463, -0.08712039729202183, -0.3814486272465915, 0.09615280160151321, -0.3349965257395027, -0.004142876107018823, 0.23056492283711463, -0.04213514276800088, -0.03801444728468728, 0.03734314950425815, -0.13904863072591078, -0.016740254318524692, -0.31000657078041893, 0.24822234452909064, 0.07270065055720798, 0.23511317325357953, -0.08658503678838253, 0.06888173952047975, -0.06075422155117849, -0.12697372180817681, -0.027380465661199428, -0.12937026038020527, 0.06194554745323128, 0.2678776093192486, 0.08862044065036516, 0.2239217223653283, -0.2868793715215283, -0.19342028830025312, 0.07666235914927486, 0.18363025630018315, -0.002569350900534445, -0.02959460543984006, -0.31223070101502043, 0.07588126314764158, -0.11576751424706119, -0.16873700355784568, 0.08685556063667321, 0.022984635192327775, 0.05710251274534589, -0.1856603202983164, 0.12032168379956935, -0.05066163302797219, 0.17263680887527955, -0.16068595696069524, -0.1720508574010629, -0.08916259004185215, 0.02752094427581367, -0.05232912722654625, 0.1394004234123744, 0.1691486419910619, -0.1938348564858604, -0.04877351431383027, 0.34987805784096876, -0.09620406952127913, 0.056311446941272617, 0.15591306469212166, -0.20688824797184485, -0.16216860605706263, 0.2212255854297899, 0.1160280358714935, 0.125197971242671, -0.19940108290881428, -0.003248772628677006, -0.027135610894367702, 0.27966992064323437, 0.02184463139428383, 0.12945459062197748, 0.30619509942614687, 0.09470885088786674, 0.03886414550515449, 0.1413882656563193, -0.3159489252885135, -0.00034217588786577055, -0.2678459629846307, -0.032970332807232425, -0.16758286273684034, 0.11492625508527321, -0.12847161357294526, -0.08441076626922561, 0.36526174346207935, 0.14712283772920878, 0.18407052347106206, 0.11097325998732549, 0.31345504605505836, 0.0793832201947474, 0.17716191918191174, 0.13078386842424417, 0.34909750438398784, 0.11046754774979801, 0.07818477022019812, -0.14816286989973268, -0.03433957148659735, -0.04826455536740235] |
708.3141 | On the universality of the Discrete Nonlinear Schroedinger Equation | We address the universal applicability of the discrete nonlinear Schroedinger
equation. By employing an original but general top-down/bottom-up procedure
based on symmetry analysis to the case of optical lattices, we derive the most
widely applicable and the simplest possible model, revealing that the discrete
nonlinear Schroedinger equation is ``universally'' fit to describe light
propagation even in discrete tensorial nonlinear systems and in the presence of
nonparaxial and vectorial effects.
| physics.optics physics.gen-ph | we address the universal applicability of the discrete nonlinear schroedinger equation by employing an original but general topdownbottomup procedure based on symmetry analysis to the case of optical lattices we derive the most widely applicable and the simplest possible model revealing that the discrete nonlinear schroedinger equation is universally fit to describe light propagation even in discrete tensorial nonlinear systems and in the presence of nonparaxial and vectorial effects | [['we', 'address', 'the', 'universal', 'applicability', 'of', 'the', 'discrete', 'nonlinear', 'schroedinger', 'equation', 'by', 'employing', 'an', 'original', 'but', 'general', 'topdownbottomup', 'procedure', 'based', 'on', 'symmetry', 'analysis', 'to', 'the', 'case', 'of', 'optical', 'lattices', 'we', 'derive', 'the', 'most', 'widely', 'applicable', 'and', 'the', 'simplest', 'possible', 'model', 'revealing', 'that', 'the', 'discrete', 'nonlinear', 'schroedinger', 'equation', 'is', 'universally', 'fit', 'to', 'describe', 'light', 'propagation', 'even', 'in', 'discrete', 'tensorial', 'nonlinear', 'systems', 'and', 'in', 'the', 'presence', 'of', 'nonparaxial', 'and', 'vectorial', 'effects']] | [-0.0718746189115758, 0.07062586596884353, -0.07011051951111227, 0.08940529869700634, -0.14059659382463366, -0.18653138421907806, -0.03554248118746108, 0.34576933982147684, -0.2722601976053303, -0.2284451177937613, 0.08368588226469423, -0.22193693542394086, -0.2127307269020357, 0.20114691637834345, -0.0077233753720487375, 0.12718652833448857, -0.015940485117228134, -0.009913813457756803, -0.06111668861568973, -0.20536931542396222, 0.3202701908252809, 0.009270685954370361, 0.31628989795411844, 0.02709468950153045, 0.11273323451472528, 0.08300286509177607, -0.03405065775133562, -0.013715148208311934, -0.08939605639065173, 0.11614496331742924, 0.186807258989311, 0.03608928614741434, 0.21336842479481213, -0.4551780227625716, -0.2948291013557194, 0.1040209194753265, 0.14153789823361929, 0.17552622938123735, -0.02044001060531245, -0.29436058210600435, 0.015142862934727167, -0.09602683083410712, -0.20160121904632103, -0.11608367610344852, 0.003878324225113012, 0.015208871130818043, -0.23677841259463542, 0.1405286775443001, 0.07799935508924334, 0.013646281121865562, -0.09634534843599545, -0.04468289581068414, -0.011601306660019833, 0.02801061578202939, 0.01067432097962423, -0.04810757263550076, 0.028736818543014426, -0.12585386247846528, -0.10364109834831586, 0.47406841253024945, -0.06225433444901221, -0.24823628241817156, 0.15977454021154647, -0.10587307700905882, -0.11399515251210635, 0.09120225494025626, 0.22081706571338724, 0.13077506971666994, -0.17377772180201567, 0.13564814796985086, -0.04810328270389658, 0.19506149574358395, 0.03298478014429734, 0.04165385418277963, 0.11796847906004151, 0.15180350256580993, 0.012144486257887405, 0.13914109855566337, -0.029067993658405823, -0.16796087894835038, -0.3233440650249089, -0.09100361732577068, -0.1637562287505716, 0.044416501552905836, -0.07780889267936193, -0.17074548609662746, 0.42598890110958315, 0.16220391374351323, 0.11621206705930873, 0.026547684830249003, 0.26225806792955036, 0.20812516282919957, 0.023471299217224285, 0.06249937653690037, 0.26423704406867426, 0.18396354361734205, 0.07438898898418182, -0.25752311164472735, -0.020911475395500336, 0.08580979926214702] |
708.3142 | Basic principle of superconductivity | The basic principle of superconductivity is suggested in this paper. There
have been two vital wrong suggestions on the basic principle, one is the
relation between superconductivity and the Bose-Einstein condensation (BEC),
and another is the relation between superconductivity and pseudogap.
| physics.gen-ph | the basic principle of superconductivity is suggested in this paper there have been two vital wrong suggestions on the basic principle one is the relation between superconductivity and the boseeinstein condensation bec and another is the relation between superconductivity and pseudogap | [['the', 'basic', 'principle', 'of', 'superconductivity', 'is', 'suggested', 'in', 'this', 'paper', 'there', 'have', 'been', 'two', 'vital', 'wrong', 'suggestions', 'on', 'the', 'basic', 'principle', 'one', 'is', 'the', 'relation', 'between', 'superconductivity', 'and', 'the', 'boseeinstein', 'condensation', 'bec', 'and', 'another', 'is', 'the', 'relation', 'between', 'superconductivity', 'and', 'pseudogap']] | [-0.16233718081763604, 0.18969737780961868, -0.09970244129256504, 0.14092282354036664, -0.10227194105888285, -0.17156050131633516, 0.09340225889563288, 0.3299035982387822, -0.23479068165690434, -0.2444257902481207, 0.00016275635159506303, -0.31376667893150956, -0.1609969627475593, 0.15884429889890114, -0.02088913525931719, 0.04386009680243527, -0.07316378822050444, 0.020923060115154195, -0.10357951738576336, -0.30269501058430204, 0.4220682673337983, -0.01402034115318845, 0.3872106268365936, 0.1802646101157113, 0.06953711755482889, -0.04082797209891241, 0.08059065508451767, -0.028889745292140216, -0.17205622705926255, 0.07467955771106773, 0.2723207800172088, 0.06486820777673728, 0.2754221797080302, -0.3882052433654303, -0.22800505018179737, 0.08298003464573767, 0.13855249457424734, 0.15818830616289478, -0.07433305775303757, -0.2611808686903337, 0.02786913691315709, -0.14688507213098248, -0.07351598835822831, -0.026541459408202548, 0.04687349266577058, -0.030896463863006454, -0.16421674846149073, 0.11816086308894361, 0.12763986227715887, 0.1135323652770461, -0.0487813484832281, -0.06026539529060445, 0.014314507066113194, 0.06346801354935984, 0.10264016824729014, 0.08968655202855788, 0.01479613198330853, -0.09703752693220428, -0.09965190244838595, 0.3801036266292014, 0.015787052581223045, -0.057395868185089856, 0.23645502160780313, -0.09808420099136306, -0.09390168428057577, 0.023246683203047368, 0.020426242133863723, 0.006880451675231864, -0.17802915431661304, 0.028649178556473243, -0.11310954219320925, 0.16450174897909164, 0.06574190001389603, 0.07154966032177937, 0.3521081688927441, 0.25955928793949323, 0.011557788150839327, 0.07701984029717562, -0.033473121700808406, -0.07361015209519281, -0.3148414442974438, -0.22835086531391957, -0.19776493033803091, -0.011560206097073672, -0.0333858970655611, -0.08591335666615789, 0.31242969850214514, 0.20734120498797515, 0.17233872368204883, -0.10915898772456296, 0.226074610723228, 0.14618064683475873, 0.06277733214381265, 0.0258613140322268, 0.2981747163050785, 0.2240036137447488, 0.11748868450749575, -0.29732833710703543, 0.09656427488321574, 0.0858684651689922] |
708.3143 | Statistical Approach to the Cosmological-Constant Problem on Brane
Worlds | We investigate the physically accepted solutions of general Braneworld
scenarios, scanning uniformly the associated parameter space. Without making
any further assumptions we find that solutions which give "small" Hubble
parameters on the physical brane, and therefore "small" effective cosmological
constants on the 4D Universe, are far more probable than those with "large"
ones. Eventually, their distribution tends to the $\delta$-function in the
limit of continuous covering of the parameter space.
| hep-th astro-ph | we investigate the physically accepted solutions of general braneworld scenarios scanning uniformly the associated parameter space without making any further assumptions we find that solutions which give small hubble parameters on the physical brane and therefore small effective cosmological constants on the 4d universe are far more probable than those with large ones eventually their distribution tends to the deltafunction in the limit of continuous covering of the parameter space | [['we', 'investigate', 'the', 'physically', 'accepted', 'solutions', 'of', 'general', 'braneworld', 'scenarios', 'scanning', 'uniformly', 'the', 'associated', 'parameter', 'space', 'without', 'making', 'any', 'further', 'assumptions', 'we', 'find', 'that', 'solutions', 'which', 'give', 'small', 'hubble', 'parameters', 'on', 'the', 'physical', 'brane', 'and', 'therefore', 'small', 'effective', 'cosmological', 'constants', 'on', 'the', '4d', 'universe', 'are', 'far', 'more', 'probable', 'than', 'those', 'with', 'large', 'ones', 'eventually', 'their', 'distribution', 'tends', 'to', 'the', 'deltafunction', 'in', 'the', 'limit', 'of', 'continuous', 'covering', 'of', 'the', 'parameter', 'space']] | [-0.1304731893003918, 0.15519559801157032, -0.05254855565061527, 0.12663571246500527, -0.1318883523810655, -0.13495654808357357, 0.04770882563399417, 0.3247457661665976, -0.2168741762638092, -0.2860350261858132, 0.10705531103137349, -0.2580238447790699, -0.07432416396747743, 0.19367933520781141, -0.03148556562539722, 0.02975489328216229, 0.020400736507560524, 0.029365930493388856, -0.08901073016542276, -0.2628108438536791, 0.39540558279092825, 0.048160675859877045, 0.2243164512994034, -0.04536148377561144, 0.0650409161778433, -0.0453043032504086, -0.02929595350953085, 0.030375595296832866, -0.2428783801555775, 0.06875409589016011, 0.1812384812959603, 0.10900222680398396, 0.23725707879556077, -0.42067238337227275, -0.24998808545060455, 0.1453417368166681, 0.1734126074971365, 0.14349480712220872, 0.0007548168274557351, -0.2720134949378137, 0.06261592357685523, -0.12411820794056569, -0.17332994045157518, -0.08190778891689011, 0.043588202524863714, -8.568912744522094e-06, -0.24689231145062618, 0.05777653829385859, -0.027588572645826, -0.016235055049349155, -0.14471938511622803, -0.08862578273651057, -0.0254629140054541, 0.06815135146358184, 0.10793409897014498, 0.01913748915706362, 0.12443239166667419, -0.15665656791118507, -0.021114410872438125, 0.4123987428843975, -0.06744064270689186, -0.23382121614579643, 0.20299008118786982, -0.19165390588875328, -0.09614975942365293, 0.11288985736069403, 0.08619937646601881, 0.16502718697967275, -0.13211153273337653, 0.15939194772841542, -0.009873929180737052, 0.1730873164122126, 0.07008211376544621, 0.08284293692974773, 0.21671116772506918, 0.11524646263569593, 0.09578146683052183, 0.09658191353082657, -0.05495551656349562, -0.116623586076977, -0.3511716720248972, -0.1039648604712316, -0.15852103009154753, 0.08527108269211436, -0.23154559181317122, -0.21448847791678938, 0.33070715665817263, 0.1598908111924954, 0.22978065532099987, 0.06010812579687419, 0.25357199430997884, 0.07415849300367491, 0.06598234210229878, 0.05005274684434491, 0.30624685245898686, 0.02732259060389229, 0.08596143752469548, -0.16604920676244156, 0.04649846687513803, 0.0251822323538363] |
708.3144 | Noether theorem for mu-symmetries | We give a version of Noether theorem adapted to the framework of
mu-symmetries; this extends to such case recent work by Muriel, Romero and
Olver in the framework of lambda-symmetries, and connects mu-symmetries of a
Lagrangian to a suitably modified conservation law. In some cases this
"mu-conservation law'' actually reduces to a standard one; we also note a
relation between mu-symmetries and conditional invariants. We also consider the
case where the variational principle is itself formulated as requiring
vanishing variation under mu-prolonged variation fields, leading to modified
Euler-Lagrange equations. In this setting mu-symmetries of the Lagrangian
correspond to standard conservation laws as in the standard Noether theorem. We
finally propose some applications and examples.
| math-ph math.MP | we give a version of noether theorem adapted to the framework of musymmetries this extends to such case recent work by muriel romero and olver in the framework of lambdasymmetries and connects musymmetries of a lagrangian to a suitably modified conservation law in some cases this muconservation law actually reduces to a standard one we also note a relation between musymmetries and conditional invariants we also consider the case where the variational principle is itself formulated as requiring vanishing variation under muprolonged variation fields leading to modified eulerlagrange equations in this setting musymmetries of the lagrangian correspond to standard conservation laws as in the standard noether theorem we finally propose some applications and examples | [['we', 'give', 'a', 'version', 'of', 'noether', 'theorem', 'adapted', 'to', 'the', 'framework', 'of', 'musymmetries', 'this', 'extends', 'to', 'such', 'case', 'recent', 'work', 'by', 'muriel', 'romero', 'and', 'olver', 'in', 'the', 'framework', 'of', 'lambdasymmetries', 'and', 'connects', 'musymmetries', 'of', 'a', 'lagrangian', 'to', 'a', 'suitably', 'modified', 'conservation', 'law', 'in', 'some', 'cases', 'this', 'muconservation', 'law', 'actually', 'reduces', 'to', 'a', 'standard', 'one', 'we', 'also', 'note', 'a', 'relation', 'between', 'musymmetries', 'and', 'conditional', 'invariants', 'we', 'also', 'consider', 'the', 'case', 'where', 'the', 'variational', 'principle', 'is', 'itself', 'formulated', 'as', 'requiring', 'vanishing', 'variation', 'under', 'muprolonged', 'variation', 'fields', 'leading', 'to', 'modified', 'eulerlagrange', 'equations', 'in', 'this', 'setting', 'musymmetries', 'of', 'the', 'lagrangian', 'correspond', 'to', 'standard', 'conservation', 'laws', 'as', 'in', 'the', 'standard', 'noether', 'theorem', 'we', 'finally', 'propose', 'some', 'applications', 'and', 'examples']] | [-0.1017093244840258, 0.04328424441960773, -0.10944790800567716, 0.1115945685367998, -0.11530403615324758, -0.1358113671178996, 0.027960756920427748, 0.2548366697405332, -0.2881817140816046, -0.3064999481939594, 0.06767962751577475, -0.23363542980847082, -0.1829765128204599, 0.15676370204684126, -0.17353738317823236, 0.04358720263657493, -0.0071256507154820225, 0.00561690606368107, -0.09380801149485965, -0.21482271573248518, 0.32927871418983806, 0.0025387328600377907, 0.25339927681488916, 0.06075645392983071, 0.14434411150536366, 0.03248880616488999, -0.00736484703624488, 0.04769553020337623, -0.15759038047482526, 0.12211135625589772, 0.21438014550949447, 0.09996764988838029, 0.23865749106542872, -0.3907616612601227, -0.18913262590441654, 0.12472524241145168, 0.08976976334919787, 0.12293002795195207, -0.019225303549319506, -0.2689699341925526, 0.09268412829468227, -0.20569344949866977, -0.18357635647511675, -0.09038348622354013, -0.012398798908439599, 0.020536209789237807, -0.2732542191848292, 0.12755787838614197, 0.13415347179086115, 0.02401402502021353, -0.06604798932260435, -0.036924290807551836, 0.011938964672611161, 0.027606474759522825, 0.10201168662232314, 0.014208121782368315, 0.08607466520645955, -0.08530148990809851, -0.1261731478443835, 0.400951061530837, -0.0941718261731564, -0.2800072947450514, 0.13597320249287545, -0.05231341264360318, -0.2119456184529034, -0.008283912154313709, 0.12231250537193514, 0.16455066536075588, -0.17159211816033348, 0.14491998848929402, -0.06258548145914185, 0.06749622525863483, 0.09602274143669222, -0.011675941383665693, 0.10484528244705871, 0.06504982370617134, 0.09179185572325618, 0.16132764337401437, -0.006025651199576844, -0.15418838470109872, -0.4016022443704839, -0.19632190755302353, -0.11986054696067835, 0.08295846334346736, -0.06286145430099818, -0.11196430264473227, 0.37042972977672306, 0.14444677378508328, 0.15440311026759446, 0.11586521328094282, 0.2467595790751927, 0.17446414705149696, 0.07245775339626041, 0.05728511619132145, 0.21284725790870393, 0.2034055741740823, 0.1454387744556048, -0.14091481046177382, -0.04567953611902859, 0.1706806710946174] |
708.3145 | Thermodynamics of regular black hole | We investigate thermodynamics for a magnetically charged regular black hole
(MCRBH), which comes from the action of general relativity and nonlinear
electromagnetics, comparing with the Reissner-Norstr\"om (RN) black hole in
both four and two dimensions after dimensional reduction. We find that there is
no thermodynamic difference between the regular and RN black holes for a fixed
charge $Q$ in both dimensions. This means that the condition for either
singularity or regularity at the origin of coordinate does not affect the
thermodynamics of black hole. Furthermore, we describe the near-horizon AdS$_2$
thermodynamics of the MCRBH with the connection of the Jackiw-Teitelboim
theory. We also identify the near-horizon entropy as the statistical entropy by
using the AdS$_2$/CFT$_1$ correspondence.
| gr-qc | we investigate thermodynamics for a magnetically charged regular black hole mcrbh which comes from the action of general relativity and nonlinear electromagnetics comparing with the reissnernorstrom rn black hole in both four and two dimensions after dimensional reduction we find that there is no thermodynamic difference between the regular and rn black holes for a fixed charge q in both dimensions this means that the condition for either singularity or regularity at the origin of coordinate does not affect the thermodynamics of black hole furthermore we describe the nearhorizon ads_2 thermodynamics of the mcrbh with the connection of the jackiwteitelboim theory we also identify the nearhorizon entropy as the statistical entropy by using the ads_2cft_1 correspondence | [['we', 'investigate', 'thermodynamics', 'for', 'a', 'magnetically', 'charged', 'regular', 'black', 'hole', 'mcrbh', 'which', 'comes', 'from', 'the', 'action', 'of', 'general', 'relativity', 'and', 'nonlinear', 'electromagnetics', 'comparing', 'with', 'the', 'reissnernorstrom', 'rn', 'black', 'hole', 'in', 'both', 'four', 'and', 'two', 'dimensions', 'after', 'dimensional', 'reduction', 'we', 'find', 'that', 'there', 'is', 'no', 'thermodynamic', 'difference', 'between', 'the', 'regular', 'and', 'rn', 'black', 'holes', 'for', 'a', 'fixed', 'charge', 'q', 'in', 'both', 'dimensions', 'this', 'means', 'that', 'the', 'condition', 'for', 'either', 'singularity', 'or', 'regularity', 'at', 'the', 'origin', 'of', 'coordinate', 'does', 'not', 'affect', 'the', 'thermodynamics', 'of', 'black', 'hole', 'furthermore', 'we', 'describe', 'the', 'nearhorizon', 'ads_2', 'thermodynamics', 'of', 'the', 'mcrbh', 'with', 'the', 'connection', 'of', 'the', 'jackiwteitelboim', 'theory', 'we', 'also', 'identify', 'the', 'nearhorizon', 'entropy', 'as', 'the', 'statistical', 'entropy', 'by', 'using', 'the', 'ads_2cft_1', 'correspondence']] | [-0.12948229183619556, 0.08453119756131057, -0.05528273937096329, 0.10905552819052614, -0.02887289295700101, -0.15519292097081216, 0.01635062304966707, 0.2698765220529024, -0.19150001326935334, -0.22908267362468077, 0.10397247094946929, -0.35496546687525615, -0.1214029346939928, 0.1545571828273272, -0.06770942602796774, 0.025403001942067294, -0.04049882849907143, 0.07773305550054238, -0.1480930482870654, -0.1938941875194902, 0.40415920622712165, 0.037376985540041666, 0.2598042918222123, 0.041245785545917193, 0.11561490761998452, 0.015747426906927375, 0.046500450196234805, 0.11821922996457208, -0.18888644871708893, 0.07884426385556396, 0.22233684548266688, 0.1254331878092336, 0.19140073976871608, -0.43012756628817633, -0.23602847596467064, 0.08665526431184589, 0.12110885515760042, 0.1389344210170716, -0.11019131354783383, -0.2209152240518546, 0.06895064489850611, -0.19472517641751388, -0.1561934115863487, -0.058511175296939257, 0.041110684278241376, -0.05546425564394316, -0.2017633278186335, 0.1419215518141292, 0.11439023174247459, -0.019026937584082287, -0.12150020567749284, 0.009462558699101863, -0.08950602707224325, 0.10223806678243962, 0.12980618366048458, 0.021063327380831828, 0.13371160569224963, -0.09766482316212077, -0.12689887912404774, 0.34541405513555856, -0.029304074728044503, -0.23520197733274759, 0.20246808295007468, -0.26965140379769237, -0.13190315035171807, 0.06837199227639328, 0.11115256922213328, 0.19743220629007147, -0.14596210832691245, 0.18215018089732007, -0.007311909463616055, 0.16126570494420694, 0.1440764741825038, 0.06431431463958386, 0.34018435639639694, 0.08858341973667082, 0.008017198509422311, 0.16951152351439783, -0.060313417165736224, -0.1381198476076845, -0.35586489250131864, -0.16619405546634083, -0.15420556104570432, 0.13757838425035038, -0.19776462838158376, -0.1702595947886278, 0.3098493302894527, 0.10357377635010746, 0.17015679823561458, 0.017151883371345895, 0.21549494986248374, 0.08577897392617735, -0.009059019615514237, 0.1219751942747583, 0.3140393357515629, 0.11021571757737547, 0.12310779151065569, -0.28163148371069774, -0.083171265661357, 0.15698274911234253] |
708.3146 | Absorption cross section of RN black hole | The behavior of a charged scalar field in the RN black hole space time is
studied using WKB approximation. In the present work it is assumed that matter
waves can get reflected from the event horizon. Using this effect, the Hawking
temperature and the absorption cross section for RN black hole placed in a
charged scalar field are calculated. The absorption cross section $\sigma
_{abs}$ is found to be inversely proportional to square of the Hawking
temperature of the black hole.
| gr-qc | the behavior of a charged scalar field in the rn black hole space time is studied using wkb approximation in the present work it is assumed that matter waves can get reflected from the event horizon using this effect the hawking temperature and the absorption cross section for rn black hole placed in a charged scalar field are calculated the absorption cross section sigma _abs is found to be inversely proportional to square of the hawking temperature of the black hole | [['the', 'behavior', 'of', 'a', 'charged', 'scalar', 'field', 'in', 'the', 'rn', 'black', 'hole', 'space', 'time', 'is', 'studied', 'using', 'wkb', 'approximation', 'in', 'the', 'present', 'work', 'it', 'is', 'assumed', 'that', 'matter', 'waves', 'can', 'get', 'reflected', 'from', 'the', 'event', 'horizon', 'using', 'this', 'effect', 'the', 'hawking', 'temperature', 'and', 'the', 'absorption', 'cross', 'section', 'for', 'rn', 'black', 'hole', 'placed', 'in', 'a', 'charged', 'scalar', 'field', 'are', 'calculated', 'the', 'absorption', 'cross', 'section', 'sigma', '_abs', 'is', 'found', 'to', 'be', 'inversely', 'proportional', 'to', 'square', 'of', 'the', 'hawking', 'temperature', 'of', 'the', 'black', 'hole']] | [-0.1335627041698899, 0.13320190398953854, -0.06861099710222333, 0.12676649055501912, -0.058416080730967226, -0.1310653028660454, -0.04760685048822779, 0.30574868319090454, -0.17738696494488976, -0.26432507620193063, 0.05469774470111588, -0.38835817001527173, -0.050015232886653396, 0.16181294121779502, 0.013541064923629165, 0.03828475450864062, -0.05345101170823909, 0.11344012605259195, -0.05144347397435922, -0.24330392538104206, 0.3589747858932242, 0.10136530635645613, 0.22228024244541303, 0.0845234072272433, 0.08167175055714324, 0.03900143598439172, 0.03051935900002718, 0.08195576312100457, -0.17143044914455458, 0.012672350683715194, 0.2219133102509659, 0.07215713959885761, 0.14643908364814706, -0.38218481570947915, -0.21946512347785757, 0.08780093543464318, 0.1596909649146255, 0.12415515407737984, -0.11224558957619593, -0.2822577551938593, 0.031800756463781, -0.19197800916153937, -0.1493785904836841, 0.040334956743754445, 0.07585925790772308, -0.05416312929883134, -0.2195604819629807, 0.13570549668511375, 0.013862493610940874, -0.10586880393093452, -0.11681400087545626, -0.060938898229505864, -0.07038289948832244, 0.027802719629835337, 0.15784295929188374, 0.05515411922824569, 0.25804060641676185, -0.056953780920594, -0.08814762644760776, 0.36401165653951467, -0.1338215370895341, -0.18627205619122833, 0.07355778666096739, -0.29036420084303244, 0.014027470716973767, 0.20673245459329337, 0.1785409170028288, 0.20370985740446484, -0.18429084891686215, 0.17325291036904672, 0.007664940936956554, 0.19406729814654683, 0.13580261016031728, 0.0354267981951125, 0.3516109195188619, 0.13392698311945422, -0.017360373854171485, 0.15272798521764344, -0.12000274459715002, -0.05787979151355103, -0.3339184587355703, -0.1535561753436923, -0.17147477163234726, 0.1087162556941621, -0.1128973335840783, -0.17969080780167132, 0.2933894780057017, 0.11330337817198596, 0.21302222785307096, 0.010574147023726254, 0.27027824764954855, 0.18110410254448653, 0.01335181471076794, 0.08892293242388405, 0.35355482881423084, 0.1719312774250284, 0.1723982620984316, -0.24191580615297426, -0.022030690469546244, 0.07778194468701258] |
708.3147 | Controllability of Quantum Systems on the Lie Group SU(1,1) | This paper examines the controllability for quantum control systems with
SU(1,1) dynamical symmetry, namely, the ability to use some electromagnetic
field to redirect the quantum system toward a desired evolution. The problem is
formalized as the control of a right invariant bilinear system evolving on the
Lie group SU(1,1) of two dimensional special pseudo-unitary matrices. It is
proved that the elliptic condition of the total Hamiltonian is both sufficient
and necessary for the controllability. Conditions are also given for small time
local controllability and strong controllability. The results obtained are also
valid for the control systems on the Lie groups SO(2,1) and SL(2,R).
| math.OC math.QA | this paper examines the controllability for quantum control systems with su11 dynamical symmetry namely the ability to use some electromagnetic field to redirect the quantum system toward a desired evolution the problem is formalized as the control of a right invariant bilinear system evolving on the lie group su11 of two dimensional special pseudounitary matrices it is proved that the elliptic condition of the total hamiltonian is both sufficient and necessary for the controllability conditions are also given for small time local controllability and strong controllability the results obtained are also valid for the control systems on the lie groups so21 and sl2r | [['this', 'paper', 'examines', 'the', 'controllability', 'for', 'quantum', 'control', 'systems', 'with', 'su11', 'dynamical', 'symmetry', 'namely', 'the', 'ability', 'to', 'use', 'some', 'electromagnetic', 'field', 'to', 'redirect', 'the', 'quantum', 'system', 'toward', 'a', 'desired', 'evolution', 'the', 'problem', 'is', 'formalized', 'as', 'the', 'control', 'of', 'a', 'right', 'invariant', 'bilinear', 'system', 'evolving', 'on', 'the', 'lie', 'group', 'su11', 'of', 'two', 'dimensional', 'special', 'pseudounitary', 'matrices', 'it', 'is', 'proved', 'that', 'the', 'elliptic', 'condition', 'of', 'the', 'total', 'hamiltonian', 'is', 'both', 'sufficient', 'and', 'necessary', 'for', 'the', 'controllability', 'conditions', 'are', 'also', 'given', 'for', 'small', 'time', 'local', 'controllability', 'and', 'strong', 'controllability', 'the', 'results', 'obtained', 'are', 'also', 'valid', 'for', 'the', 'control', 'systems', 'on', 'the', 'lie', 'groups', 'so21', 'and', 'sl2r']] | [-0.21224864246323705, 0.09042178592147324, -0.04821891430030731, 0.05530229247247493, -0.08925039366167943, -0.14433585192886117, -0.029242354541230333, 0.35853315369018074, -0.27817059181702947, -0.24788308587124191, 0.16372133408971493, -0.20969770107083746, -0.14901805058284437, 0.19995449581499963, -0.0592628249048608, 0.12272946367908305, 0.047341394183922164, 0.11435114990612402, -0.10277431858567865, -0.2423290776572579, 0.36678932081383553, 0.009021537674554778, 0.2704767948604252, 0.009542681059791046, 0.14929124517185452, 0.034392655272578176, 0.06113108952113798, -0.026085645430585714, -0.09715972249476676, 0.09801877777259435, 0.2421390067342922, 0.07951750929774806, 0.24913952918271126, -0.41520498000374695, -0.16376667316930676, 0.10739912066463995, 0.1290847823335744, 0.10172705633059434, -0.06123305816944797, -0.34910853141105, 0.0787319698669378, -0.13745362959910654, -0.17148069312199227, -0.07909405691937986, 0.024722044560741813, 0.0014427366838293168, -0.25970553290279746, 0.051962303720500536, 0.09637361915315303, 0.086244101021258, -0.12207001371725092, -0.033871168485453844, -0.05702998178097808, 0.14221683614299568, -0.024276701979863556, -0.02508922489088716, 0.10888081191003648, -0.10267630359023704, -0.09825488820093349, 0.4035715495498435, 0.004676192853084395, -0.25824052110106405, 0.18812342732240564, -0.1333447547756063, -0.1634709772843759, 0.06014347123547267, 0.16587312389346, 0.10694898687556241, -0.16801555820026445, 0.13689825323792354, -0.0753605727567473, 0.10740434156857359, 0.019676028696585048, 0.05931506484511842, 0.14361492175613394, 0.12525447860396313, 0.16557570593431592, 0.12103457612130177, 0.03229086580731481, -0.11888431632005185, -0.34535086961481176, -0.16859492112529798, -0.14183010720168648, 0.07441537313005611, -0.07610507995778586, -0.11138688378913093, 0.4148723694079926, 0.1336736719918582, 0.1368275076214188, 0.09083179921110712, 0.23541507541735485, 0.17121005287558944, 0.039894291389625046, 0.055392482458134586, 0.21193249303269995, 0.24089600846569226, 0.06588337942957878, -0.26461857536952327, -0.007876896941401427, 0.09761568525516727] |
708.3148 | R-symmetry, supersymmetry breaking and metastable vacua in global and
local supersymmetric theories | We study N=1 global and local supersymmetric theories with a continuous
global $U(1)_R$ symmetry as models of dynamical supersymmetry (SUSY) breaking.
We introduce explicit R-symmetry breaking terms into such models, in particular
a generalized O'Raifeartaigh model. Such explicit R-symmetry breaking terms can
lead to a SUSY preserving minimum. We classify explicit R-symmetry breaking
terms by the structure of newly appeared SUSY stationary points as a
consequence of the R-breaking effect, which could make the SUSY breaking vacuum
metastable. We show that the R-breaking terms are basically divided into two
categories. One of them does not generate a SUSY solution, or yields SUSY
solutions that disappear in the case of supergravity when we tune a parameter
so that the original SUSY breaking minimum becomes a Minkowski vacuum. We also
show that the general argument by Nelson and Seiberg for a dynamical SUSY
breaking still holds with a local SUSY except for a certain nontrivial case,
and present concrete examples of the exception.
| hep-th hep-ph | we study n1 global and local supersymmetric theories with a continuous global u1_r symmetry as models of dynamical supersymmetry susy breaking we introduce explicit rsymmetry breaking terms into such models in particular a generalized oraifeartaigh model such explicit rsymmetry breaking terms can lead to a susy preserving minimum we classify explicit rsymmetry breaking terms by the structure of newly appeared susy stationary points as a consequence of the rbreaking effect which could make the susy breaking vacuum metastable we show that the rbreaking terms are basically divided into two categories one of them does not generate a susy solution or yields susy solutions that disappear in the case of supergravity when we tune a parameter so that the original susy breaking minimum becomes a minkowski vacuum we also show that the general argument by nelson and seiberg for a dynamical susy breaking still holds with a local susy except for a certain nontrivial case and present concrete examples of the exception | [['we', 'study', 'n1', 'global', 'and', 'local', 'supersymmetric', 'theories', 'with', 'a', 'continuous', 'global', 'u1_r', 'symmetry', 'as', 'models', 'of', 'dynamical', 'supersymmetry', 'susy', 'breaking', 'we', 'introduce', 'explicit', 'rsymmetry', 'breaking', 'terms', 'into', 'such', 'models', 'in', 'particular', 'a', 'generalized', 'oraifeartaigh', 'model', 'such', 'explicit', 'rsymmetry', 'breaking', 'terms', 'can', 'lead', 'to', 'a', 'susy', 'preserving', 'minimum', 'we', 'classify', 'explicit', 'rsymmetry', 'breaking', 'terms', 'by', 'the', 'structure', 'of', 'newly', 'appeared', 'susy', 'stationary', 'points', 'as', 'a', 'consequence', 'of', 'the', 'rbreaking', 'effect', 'which', 'could', 'make', 'the', 'susy', 'breaking', 'vacuum', 'metastable', 'we', 'show', 'that', 'the', 'rbreaking', 'terms', 'are', 'basically', 'divided', 'into', 'two', 'categories', 'one', 'of', 'them', 'does', 'not', 'generate', 'a', 'susy', 'solution', 'or', 'yields', 'susy', 'solutions', 'that', 'disappear', 'in', 'the', 'case', 'of', 'supergravity', 'when', 'we', 'tune', 'a', 'parameter', 'so', 'that', 'the', 'original', 'susy', 'breaking', 'minimum', 'becomes', 'a', 'minkowski', 'vacuum', 'we', 'also', 'show', 'that', 'the', 'general', 'argument', 'by', 'nelson', 'and', 'seiberg', 'for', 'a', 'dynamical', 'susy', 'breaking', 'still', 'holds', 'with', 'a', 'local', 'susy', 'except', 'for', 'a', 'certain', 'nontrivial', 'case', 'and', 'present', 'concrete', 'examples', 'of', 'the', 'exception']] | [-0.14958072070217465, 0.19343700784009807, -0.03735512670603876, 0.1706036673453839, -0.1027473494155992, -0.18127299719258727, 0.0021600070371876777, 0.32494384397879844, -0.197371405980301, -0.27421213142712664, 0.1311093194768851, -0.20988938645951405, -0.16766284643132812, 0.06537855399471725, -0.05768674199602434, 0.043415702801336595, -0.011197658788603702, 0.014598208334967958, -0.10765918124154765, -0.2282472335276489, 0.28952118137747235, -0.03830925983258216, 0.2200873923655715, 0.05758881149813533, 0.11711832232808012, -0.03497847766609666, 0.05735884862735011, -0.023268376440908876, -0.1195690231175402, 0.09277694301335546, 0.1948367090025278, 0.09061812778923267, 0.13536797929121333, -0.41262112264029727, -0.21706367387748698, 0.19362474334721239, 0.18120218450434922, 0.19071123081256536, -0.07759117184681182, -0.2879649645949697, 0.08833270726554814, -0.19304052069898903, -0.1372083563730699, -0.13601067596872957, -0.04102191285039327, -0.14234478976353368, -0.3129117737169181, 0.09473631854341887, 0.03890741246742318, 0.0453845315919437, -0.046152633389238244, -0.04546277639268093, -0.14839275659970153, 0.021942302961551776, 0.1692389773851353, -0.02850170794914922, 0.12235316791591923, -0.19644175303676195, -0.1559499301152269, 0.43954790270198946, -0.03380908850169746, -0.20195001807723265, 0.15792255662237034, -0.08093213803071228, -0.23180259770846792, 0.11024649765180505, 0.1016367153924028, 0.10996747804481698, -0.09163902937631652, 0.2246344819775586, -0.07014355601985818, 0.1547495670882719, 0.09714206031332753, 0.06192074164130684, 0.245024799996906, 0.11448151249147848, 0.10714163489730867, 0.16314214712402186, 0.04661431952335536, -0.12562877282222606, -0.48632395136754336, -0.13829947243334714, -0.09237614005618955, 0.10999370405390087, -0.10280583918021242, -0.14492831193489134, 0.42482467633180365, 0.10775827977123746, 0.23134408896407171, 0.08494392546148312, 0.19870555630642112, 0.10778572354089723, 0.10128535449567037, 0.017704962862667088, 0.2392448341323537, 0.028613531484806574, 0.0539906462943702, -0.21701088879164887, -0.07759572935770757, 0.1770867678041784] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.