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712.0179 | Rates of convergence for minimal distances in the central limit theorem
under projective criteria | In this paper, we give estimates of ideal or minimal distances between the
distribution of the normalized partial sum and the limiting Gaussian
distribution for stationary martingale difference sequences or stationary
sequences satisfying projective criteria. Applications to functions of linear
processes and to functions of expanding maps of the interval are given.
| math.ST math.PR stat.TH | in this paper we give estimates of ideal or minimal distances between the distribution of the normalized partial sum and the limiting gaussian distribution for stationary martingale difference sequences or stationary sequences satisfying projective criteria applications to functions of linear processes and to functions of expanding maps of the interval are given | [['in', 'this', 'paper', 'we', 'give', 'estimates', 'of', 'ideal', 'or', 'minimal', 'distances', 'between', 'the', 'distribution', 'of', 'the', 'normalized', 'partial', 'sum', 'and', 'the', 'limiting', 'gaussian', 'distribution', 'for', 'stationary', 'martingale', 'difference', 'sequences', 'or', 'stationary', 'sequences', 'satisfying', 'projective', 'criteria', 'applications', 'to', 'functions', 'of', 'linear', 'processes', 'and', 'to', 'functions', 'of', 'expanding', 'maps', 'of', 'the', 'interval', 'are', 'given']] | [-0.1145923519686151, 0.06579050950061244, -0.08213827279038154, 0.10477309300376174, -0.00937100537479497, -0.07217360533272418, 0.05240950370073104, 0.3886754086259036, -0.3240398745625638, -0.20186302689119026, 0.11898424701827864, -0.29128283708213043, -0.07515230367425829, 0.18011736195498648, -0.06608314901733628, 0.1257812776065503, 0.030031608019131593, 0.0018940196515849004, -0.1364369668567983, -0.24037684734167458, 0.39083564293105155, -0.011136526438909082, 0.2504394982332507, 0.009196361598487083, 0.17292295634531632, 0.0339316892831658, -0.08105280824775736, -0.03838406521110581, -0.18809560367550987, 0.13966843309418225, 0.23260938487230584, 0.16666028874281508, 0.2489841582540136, -0.3666807251373449, -0.16351174893609893, 0.25705079718206364, 0.1286664568962386, 0.016644542879266037, 0.023387206772055764, -0.23548687478670707, 0.10408866644586222, -0.08264063119601744, -0.15038562641264155, -0.026441214570345786, 0.05771346992025009, 0.18209799515226713, -0.36862127396922845, 0.11387913507552674, 0.11457517859525979, 0.08375032144697168, -0.04391176748322323, -0.11807418353139208, -0.00874399247382266, 0.15162412787321955, 0.025208172030173816, -0.00547333462880208, 0.07929562080579881, -0.10046298968014665, -0.10195145308255003, 0.3239702409348236, -0.09109124029950741, -0.29611309547013104, 0.1548308360730656, -0.2015149906420937, -0.07805077490271427, 0.10874923061615285, 0.16465325171772677, 0.13344037328631833, -0.1578370195168715, 0.06663397411018825, -0.04448695253365888, 0.07555321097159041, 0.12138944890242644, 0.08876294596568467, 0.1776841604240382, 0.043234796424467974, 0.13399432994461116, 0.1802712084295658, -0.027513356753983177, -0.12751241447404027, -0.3785327263176441, -0.14747797495398957, -0.17438011813478974, 0.07991636222085127, -0.13239335363883023, -0.25515275828253764, 0.37937206408689517, 0.07744758783911283, 0.19791255498197502, 0.13476780861114654, 0.2341013463715521, 0.17722367932303593, -0.05027049245116079, 0.04464652665102711, 0.09232012300232711, 0.17428481865387696, 0.01633145996870903, -0.10276433898924062, 0.06202684900759218, 0.09902007836633576] |
712.018 | Spots on the surface of HgMn stars: Clues to the origin of Hg and Mn
peculiarities | The important result achieved in our recent study of a large sample of HgMn
stars using UVES at the VLT and FEROS at the ESO 2.2m telescope is the finding
that most HgMn stars exhibit spectral variability of various chemical elements,
proving that the presence of an inhomogeneous distribution on the surface of
these stars is a rather common characteristics and not a rare phenomenon.
| astro-ph | the important result achieved in our recent study of a large sample of hgmn stars using uves at the vlt and feros at the eso 22m telescope is the finding that most hgmn stars exhibit spectral variability of various chemical elements proving that the presence of an inhomogeneous distribution on the surface of these stars is a rather common characteristics and not a rare phenomenon | [['the', 'important', 'result', 'achieved', 'in', 'our', 'recent', 'study', 'of', 'a', 'large', 'sample', 'of', 'hgmn', 'stars', 'using', 'uves', 'at', 'the', 'vlt', 'and', 'feros', 'at', 'the', 'eso', '22m', 'telescope', 'is', 'the', 'finding', 'that', 'most', 'hgmn', 'stars', 'exhibit', 'spectral', 'variability', 'of', 'various', 'chemical', 'elements', 'proving', 'that', 'the', 'presence', 'of', 'an', 'inhomogeneous', 'distribution', 'on', 'the', 'surface', 'of', 'these', 'stars', 'is', 'a', 'rather', 'common', 'characteristics', 'and', 'not', 'a', 'rare', 'phenomenon']] | [-0.10133010972864352, 0.10376853658660995, -0.12262742599615684, 0.030289770709350704, -0.11773723352413912, -0.07920073917708718, 0.04595040666082731, 0.3810281006189493, -0.1493656859607794, -0.32972863807987707, 0.06841919438447804, -0.3125762725392213, -0.08670903238682792, 0.23640401503787592, -0.07154425295213095, -0.028763964913713816, 0.17025499154741947, -0.04683419824219667, -0.022819448665429194, -0.28827637101595216, 0.33192374717730744, 0.08187382396606084, 0.22198066997986574, -0.05679575984294598, 0.05331714837453686, -0.12683209345604365, -0.06605060897910824, -0.010546193243219303, -0.07775085740476452, 0.07396768228365824, 0.2655030438497376, 0.1031777670678611, 0.23889714834781794, -0.3129633356596549, -0.19423753278186687, 0.04828009384397704, 0.14749754941305862, 0.04613904911451615, -0.1057608627445566, -0.27082357899500775, 0.11414456027918136, -0.08632476854209717, -0.21061988846183968, 0.022367887772046603, 0.03125471644676649, 0.04756730108235318, -0.23850578600540756, 0.020740068515834327, 0.02971473574781647, 0.22444763604838114, -0.1143342528742953, -0.15620766353721802, -0.05374061858568054, 0.1251494329637633, -0.00048259735250702273, 0.014484599651768803, 0.042683203145861624, -0.1441035615423551, 0.010986281673495586, 0.386154122535999, -0.1473255479045642, 0.01304317301501914, 0.23816482631059793, -0.2380800923762413, -0.23859703205525876, 0.10997550238926823, 0.18286768989637495, 0.24509352734312415, -0.19509063417521808, 0.05302056515266976, -0.046097662371511645, 0.19186305759044794, 0.06135841810072844, 0.10599667402700735, 0.27003846642059776, 0.15234124902098511, -0.004251343162300495, 0.07834564542191891, -0.26051115575246514, -0.013607493623231466, -0.23116034580251346, -0.14115600482059212, -0.166019513264585, 0.05494937632756773, -0.13778807439151794, -0.18427996073777858, 0.3829940560632027, 0.09948329155404981, 0.1980104768433823, -0.001889608478030333, 0.2692873840721754, 0.07129762645703382, 0.1215081355892695, 0.059938831985569915, 0.29118130404788717, 0.17717296357194964, 0.1326029480005113, -0.2832396940399821, 0.12528210713062435, 0.021075112501589152] |
712.0181 | Circumstellar magnetic fields in Herbig Ae stars | We present the results of our latest studies of the circumstellar magnetic
fields in Herbig Ae stars and briefly discuss the cause of the failure of
another recent study by our colleagues to confirm the Zeeman features in our
spectra.
| astro-ph | we present the results of our latest studies of the circumstellar magnetic fields in herbig ae stars and briefly discuss the cause of the failure of another recent study by our colleagues to confirm the zeeman features in our spectra | [['we', 'present', 'the', 'results', 'of', 'our', 'latest', 'studies', 'of', 'the', 'circumstellar', 'magnetic', 'fields', 'in', 'herbig', 'ae', 'stars', 'and', 'briefly', 'discuss', 'the', 'cause', 'of', 'the', 'failure', 'of', 'another', 'recent', 'study', 'by', 'our', 'colleagues', 'to', 'confirm', 'the', 'zeeman', 'features', 'in', 'our', 'spectra']] | [-0.10116701854858548, 0.0722630209987983, -0.04721869882196188, 0.027075637178495527, -0.08018572549335659, 0.0016709068091586231, 0.051722541236085814, 0.37427449189126494, -0.20039294175803662, -0.29679405614733695, 0.04827666292549111, -0.27629913387354466, -0.14125560079701244, 0.19031361183151602, -0.09078393818199401, -0.041498813102953135, 0.12155555365607143, -0.02057801871560514, -0.037361257965676485, -0.2974475190974772, 0.3749260584823787, 0.08108417720068246, 0.15499419460538774, 0.06088275723159313, -0.05748208501609042, -0.07969998228363692, -0.10936968399910256, -0.04578044777736068, -0.16781883293297142, 0.1022761328611523, 0.21005826292093843, 0.1261464769602753, 0.24019899156410246, -0.42707740822806955, -0.255613291283953, -0.004239379987120628, 0.1040963347768411, 0.09607378384098411, -0.09904808190185577, -0.343055288065807, 0.11220050062984228, -0.1196225346182473, -0.17370512745110317, -0.06595417263451964, 0.011974747129715978, 0.10761393098509871, -0.21026925900951027, 0.0564094841160113, 0.10139630515186582, 0.1323489693691954, -0.14336139764345718, -0.1563825466670096, -0.0027933013683650644, 0.061581178777851166, 0.14479212486185133, 0.04374211668618955, 0.10473378832684829, -0.14780661679105833, -0.18680275846272706, 0.37288223626092076, -0.14400839284062386, -0.0200767592061311, 0.23461650202516465, -0.2308806940098293, -0.197325474396348, 0.03186089526861906, 0.14972042480949313, 0.18901324411854148, -0.10985511478502304, 0.008103907793702092, -0.042836912372149524, 0.11906018173322082, -0.049137323768809436, 0.04576486153528094, 0.2562758445274085, 0.13511767908930777, -0.09876368487020955, 0.1925355240877252, -0.20580389657989145, -0.03715138453990221, -0.27505124006420373, -0.1830119109712541, -0.1552892160601914, 0.02477947131264955, -0.06932679619603732, -0.09579519000835716, 0.4302836976014078, 0.23718709712848068, 0.2321315656416118, -0.026256913947872818, 0.2946521991165355, 0.05903028039901983, 0.0892575241625309, 0.09396944791078568, 0.3584069604054093, 0.19130797035177238, 0.18173768003471197, -0.2965535596013069, 0.048989030395750886, -0.03885371615178883] |
712.0182 | Magnetic Flux Diffusion and Expulsion with Thin Conducting Sheets | We present visualizations of the diffusion and expulsion of magnetic flux for
thin conducting sheets, both stationary and moving, including representations
of the eddy currents and of the associated magnetic fields. Such visualizations
can play an important role in making the abstract mathematics of eddy current
phenomena more understandable from a physical and conceptual point of view.
| physics.class-ph physics.ed-ph | we present visualizations of the diffusion and expulsion of magnetic flux for thin conducting sheets both stationary and moving including representations of the eddy currents and of the associated magnetic fields such visualizations can play an important role in making the abstract mathematics of eddy current phenomena more understandable from a physical and conceptual point of view | [['we', 'present', 'visualizations', 'of', 'the', 'diffusion', 'and', 'expulsion', 'of', 'magnetic', 'flux', 'for', 'thin', 'conducting', 'sheets', 'both', 'stationary', 'and', 'moving', 'including', 'representations', 'of', 'the', 'eddy', 'currents', 'and', 'of', 'the', 'associated', 'magnetic', 'fields', 'such', 'visualizations', 'can', 'play', 'an', 'important', 'role', 'in', 'making', 'the', 'abstract', 'mathematics', 'of', 'eddy', 'current', 'phenomena', 'more', 'understandable', 'from', 'a', 'physical', 'and', 'conceptual', 'point', 'of', 'view']] | [-0.13227719241516306, 0.15022376422558936, -0.06763821319072393, 0.08613188536184137, -0.0953211138645808, -0.024230147197254394, -0.014186417649749242, 0.351185013817852, -0.2681182327173781, -0.3383818229889138, 0.07273662074166759, -0.24095534196679005, -0.14802176639306963, 0.25241727738134695, -0.01881973136608538, -0.008772896083986811, 0.023927629778259678, -0.025462380005863674, -0.03612564135702294, -0.12557261752724452, 0.3329221955255458, 0.03502639387162369, 0.2854018675555524, 0.06430600447122727, 0.09534603894050968, -0.05397493388961282, -0.08071123693228226, 0.08392299337541326, -0.08483829367252295, 0.12768470319478134, 0.26217172644509557, 0.03693981500538556, 0.26135545491502343, -0.5575641468167305, -0.20061536313018255, 0.015295365482176604, 0.1581684754050353, 0.09955707511031314, -0.08521728353751537, -0.29506604275421094, 0.025657199004566984, -0.121153203888976, -0.12690469000096383, -0.11186506446214034, 0.022823661770018048, 0.027437465265393257, -0.2612670987094916, 0.08744913053682499, 0.13158111339802608, 0.16646133083850145, -0.10631071926470388, -0.12111571126437762, -0.06192120622124588, 0.17014903933822847, 0.0775701889294412, 0.024947696316399072, 0.2096737942233551, -0.2733708721373165, -0.11918265263043475, 0.3589843435441716, 0.0013721057851063577, -0.19183315663484105, 0.22986120109756789, -0.1266213569528701, -0.06996791972370263, 0.13174718225440174, 0.1729116048868092, 0.07071902353741359, -0.12613857885937027, 0.03827054741825059, -0.022044894628618892, 0.05891068483010473, 0.03161949487893205, -0.009458930623766622, 0.32220221382745523, 0.21826938668821463, 0.03271834071921675, 0.12362933158057562, -0.14167673557510665, -0.09335928766481709, -0.3201500130980684, -0.2230874660931397, -0.09536796219630592, 0.0978948935348614, -0.09190531772573625, -0.24831557236285062, 0.3935724824601621, 0.223774194153712, 0.13610626554541422, -0.055745330230708705, 0.27546864572356927, 0.08281428056662869, 0.033197417732720315, 0.11275027652287431, 0.17276140991925149, 0.16212112827455266, 0.1814374160064944, -0.17069030185066686, 0.06332846568374519, 0.035577878976861634] |
712.0183 | Semiclassical theories of the anomalous Hall effect | Recently, the semiclassical theory of the anomalous Hall effect induced by
the Berry curvature in Bloch bands has been introduced. The theory operates
only with gauge invariant concepts, that have a simple semiclassical
interpretation and provides a clear distinction among various contributions to
the Hall current. While the construction of such an approach to the anomalous
Hall effect problem has been long sought, only the new semiclassical theory
demonstrated the agreement with quantitative results of rigorous approaches
based on the Green function techniques. The purpose of this work is to review
the semiclassical approach including the early ideas and the recent
achievements.
| cond-mat.mes-hall | recently the semiclassical theory of the anomalous hall effect induced by the berry curvature in bloch bands has been introduced the theory operates only with gauge invariant concepts that have a simple semiclassical interpretation and provides a clear distinction among various contributions to the hall current while the construction of such an approach to the anomalous hall effect problem has been long sought only the new semiclassical theory demonstrated the agreement with quantitative results of rigorous approaches based on the green function techniques the purpose of this work is to review the semiclassical approach including the early ideas and the recent achievements | [['recently', 'the', 'semiclassical', 'theory', 'of', 'the', 'anomalous', 'hall', 'effect', 'induced', 'by', 'the', 'berry', 'curvature', 'in', 'bloch', 'bands', 'has', 'been', 'introduced', 'the', 'theory', 'operates', 'only', 'with', 'gauge', 'invariant', 'concepts', 'that', 'have', 'a', 'simple', 'semiclassical', 'interpretation', 'and', 'provides', 'a', 'clear', 'distinction', 'among', 'various', 'contributions', 'to', 'the', 'hall', 'current', 'while', 'the', 'construction', 'of', 'such', 'an', 'approach', 'to', 'the', 'anomalous', 'hall', 'effect', 'problem', 'has', 'been', 'long', 'sought', 'only', 'the', 'new', 'semiclassical', 'theory', 'demonstrated', 'the', 'agreement', 'with', 'quantitative', 'results', 'of', 'rigorous', 'approaches', 'based', 'on', 'the', 'green', 'function', 'techniques', 'the', 'purpose', 'of', 'this', 'work', 'is', 'to', 'review', 'the', 'semiclassical', 'approach', 'including', 'the', 'early', 'ideas', 'and', 'the', 'recent', 'achievements']] | [-0.10498867875111162, 0.108080903157351, -0.15437795648205221, 0.057702902421428295, -0.10724815492308241, -0.1063139293064345, 0.006146608168195349, 0.31826064498255063, -0.212560589559657, -0.29453138563343706, 0.03815284078625743, -0.2703578154026878, -0.24896854094649648, 0.2125800854763856, -0.06361706587303356, 0.09132126681324021, 0.003151962287066614, 0.017233056687366438, -0.08673737291703183, -0.22756859067457674, 0.29844995899874643, 0.056959453965628556, 0.3410618704214108, 0.1214120683497658, 0.10625127992391878, 0.009538301892176854, -0.06296790124136298, 0.049863025966082136, -0.16150215068210302, 0.1316132113033924, 0.19573236265055396, 0.02229670185924453, 0.28153308144971434, -0.4531646324686852, -0.2534118101395114, 0.017153722562772387, 0.0959237725011703, 0.17282203986428166, -0.0484337058413646, -0.3091675033827093, 0.043832491503517125, -0.1749085086196953, -0.12700919316757434, -0.09394856277675204, 0.04848715856525244, -0.09987654948810243, -0.19340921236275166, 0.05609596467134086, 0.08231347350988026, 0.060430524809121644, -0.03149504016162645, -0.13942401774921545, 0.032277379218059794, 0.12795045349619114, 0.10008239404038143, 0.05733615698694598, 0.08003636337725409, -0.11723117205980874, -0.211010629475555, 0.33234134307313784, -0.08861630245604936, -0.15641157909789505, 0.17807039456195473, -0.15072760911996239, -0.13208753449440586, 0.0995375690479562, 0.07641188083581772, 0.1114564245003481, -0.15895872420686133, 0.15208630023556122, -0.04567294146902129, 0.06694458697593826, 0.018873242423960976, 0.0866684081647334, 0.22721018349094427, 0.1583178177768109, 0.008216929806889418, 0.07743998744077615, -0.08056558377118599, -0.11779118470811084, -0.283279685559226, -0.13668305251785035, -0.21444764855208204, 0.05861648168487876, -0.005612577740548123, -0.17637548996500818, 0.41210686755092707, 0.16055007412226177, 0.1675505017697373, 0.002536124604589799, 0.3350660460293476, 0.16431789938360453, 0.06524206730811034, 0.0063047215374478814, 0.28633724051577897, 0.1972402993831601, 0.11877039937512475, -0.2507907579522854, 0.02124542624155498, 0.10479835749092493] |
712.0184 | Femtosecond Photodissociation of Molecules Facilitated by Noise | We investigate the dynamics of diatomic molecules subjected to both a
femtosecond mid-infrared laser pulse and Gaussian white noise. The stochastic
Schr\"odinger equation with a Morse potential is used to describe the molecular
vibrations under noise and the laser pulse. For weak laser intensity, well
below the dissociation threshold, it is shown that one can find an optimum
amount of noise that leads to a dramatic enhancement of the dissociation
probability. The enhancement landscape which is shown as a function of both the
noise and the laser strength, exhibits a global maximum. A frequency-resolved
gain profile is recorded with a pump-probe set-up which is experimentally
realizable. With this profile we identify the linear and nonlinear multiphoton
processes created by the interplay between laser and noise and assess their
relative contribution to the dissociation enhancement.
| quant-ph | we investigate the dynamics of diatomic molecules subjected to both a femtosecond midinfrared laser pulse and gaussian white noise the stochastic schrodinger equation with a morse potential is used to describe the molecular vibrations under noise and the laser pulse for weak laser intensity well below the dissociation threshold it is shown that one can find an optimum amount of noise that leads to a dramatic enhancement of the dissociation probability the enhancement landscape which is shown as a function of both the noise and the laser strength exhibits a global maximum a frequencyresolved gain profile is recorded with a pumpprobe setup which is experimentally realizable with this profile we identify the linear and nonlinear multiphoton processes created by the interplay between laser and noise and assess their relative contribution to the dissociation enhancement | [['we', 'investigate', 'the', 'dynamics', 'of', 'diatomic', 'molecules', 'subjected', 'to', 'both', 'a', 'femtosecond', 'midinfrared', 'laser', 'pulse', 'and', 'gaussian', 'white', 'noise', 'the', 'stochastic', 'schrodinger', 'equation', 'with', 'a', 'morse', 'potential', 'is', 'used', 'to', 'describe', 'the', 'molecular', 'vibrations', 'under', 'noise', 'and', 'the', 'laser', 'pulse', 'for', 'weak', 'laser', 'intensity', 'well', 'below', 'the', 'dissociation', 'threshold', 'it', 'is', 'shown', 'that', 'one', 'can', 'find', 'an', 'optimum', 'amount', 'of', 'noise', 'that', 'leads', 'to', 'a', 'dramatic', 'enhancement', 'of', 'the', 'dissociation', 'probability', 'the', 'enhancement', 'landscape', 'which', 'is', 'shown', 'as', 'a', 'function', 'of', 'both', 'the', 'noise', 'and', 'the', 'laser', 'strength', 'exhibits', 'a', 'global', 'maximum', 'a', 'frequencyresolved', 'gain', 'profile', 'is', 'recorded', 'with', 'a', 'pumpprobe', 'setup', 'which', 'is', 'experimentally', 'realizable', 'with', 'this', 'profile', 'we', 'identify', 'the', 'linear', 'and', 'nonlinear', 'multiphoton', 'processes', 'created', 'by', 'the', 'interplay', 'between', 'laser', 'and', 'noise', 'and', 'assess', 'their', 'relative', 'contribution', 'to', 'the', 'dissociation', 'enhancement']] | [-0.0972353035372112, 0.15014377620808325, -0.10413495887682508, 0.06869038009717227, 0.017134181474015783, -0.13626180481123948, 0.047551549190078486, 0.43858057449557886, -0.27884785475125956, -0.2780761100880023, 0.01044222443545265, -0.2701760953632809, -0.15282402027731956, 0.18587470204055087, -0.02834588206206351, 0.06500977957134706, 0.023146584362431027, -0.0065146355734227585, 0.012856973920698598, -0.16778823555405462, 0.2666917034744549, 0.10406834947695928, 0.30510807906124576, 0.07832030698078435, 0.1391404895876437, -0.018443092290284253, 0.037435509801369664, -0.055784533099174055, -0.11526937229237814, 0.07642116583710008, 0.21020264838780486, 0.029412843846479683, 0.27018979232091067, -0.4016535909839475, -0.2728260017500551, 0.09752569336152232, 0.09633546867368764, 0.15975560680372336, -0.07454865386904176, -0.283796680868784, 0.021509649822794234, -0.1199495419025866, -0.11593853641621102, -0.06156790760213704, 0.02505119029543738, 0.10597992873291916, -0.32584807454650083, 0.036337569077957925, 0.03341965367193308, 0.04951663963051874, -0.043081293612329374, -0.03138595676299796, -0.045813027267177495, 0.04892323972177761, 0.005616289749394046, 0.06407257464172235, 0.21738905689345478, -0.151961203263169, -0.06911034892146378, 0.3849295796657071, -0.1595584298431901, -0.1450345322894586, 0.17167019096564556, -0.16574714651831718, -0.010244362061467968, 0.21402981613220565, 0.11914831619890434, 0.09652548458830301, -0.14548266472976043, 0.014476758696368214, 0.047618236472663375, 0.2531780586786457, 0.12703323437234582, 0.08360127675861342, 0.15711288027371517, 0.18071503022254737, 0.08288079502630923, 0.21172263672047142, -0.1560489867080914, -0.07889815988088611, -0.2625999900081487, -0.0722309909552447, -0.1560620553009629, 0.08180841189937722, -0.03371478359535538, -0.13530617888883076, 0.4154363235340579, 0.12110594902952104, 0.17414399777685027, -0.017552247599337194, 0.30701267840027974, 0.21754691367074083, -0.006538471959378404, -0.018343383428960372, 0.24915363281398817, 0.19161738897673786, 0.08173814379095809, -0.30891263409545505, 0.04607467130938573, -0.04251983187529745] |
712.0185 | Deformation of electron holes in phase space as prerequisite for narrow
band maser emission: A qualitative discussion | A qualitative discussion is given of the role electron holes play in
generating fine structure on the electron cyclotron maser radiation. It is
argued that electron holes become deformed in phase space when interacting with
an incomplete ring or horseshoe distribution which occurs in the presence of
strong field aligned electric fields in the upward current region and in the
presence of a loss cone. This interaction is based on momentum balance
considerations. Deformed narrow electron holes cause steep velocity space
gradients on the ring distribution that lead to intense but narrow band
emission from their high speed sides and absorption at slightly higher
frequency from their low speed sides. The twins of banded emission and
absorption move in frequency space due to the average real space displacement
of the deformed electron hole.
| physics.space-ph | a qualitative discussion is given of the role electron holes play in generating fine structure on the electron cyclotron maser radiation it is argued that electron holes become deformed in phase space when interacting with an incomplete ring or horseshoe distribution which occurs in the presence of strong field aligned electric fields in the upward current region and in the presence of a loss cone this interaction is based on momentum balance considerations deformed narrow electron holes cause steep velocity space gradients on the ring distribution that lead to intense but narrow band emission from their high speed sides and absorption at slightly higher frequency from their low speed sides the twins of banded emission and absorption move in frequency space due to the average real space displacement of the deformed electron hole | [['a', 'qualitative', 'discussion', 'is', 'given', 'of', 'the', 'role', 'electron', 'holes', 'play', 'in', 'generating', 'fine', 'structure', 'on', 'the', 'electron', 'cyclotron', 'maser', 'radiation', 'it', 'is', 'argued', 'that', 'electron', 'holes', 'become', 'deformed', 'in', 'phase', 'space', 'when', 'interacting', 'with', 'an', 'incomplete', 'ring', 'or', 'horseshoe', 'distribution', 'which', 'occurs', 'in', 'the', 'presence', 'of', 'strong', 'field', 'aligned', 'electric', 'fields', 'in', 'the', 'upward', 'current', 'region', 'and', 'in', 'the', 'presence', 'of', 'a', 'loss', 'cone', 'this', 'interaction', 'is', 'based', 'on', 'momentum', 'balance', 'considerations', 'deformed', 'narrow', 'electron', 'holes', 'cause', 'steep', 'velocity', 'space', 'gradients', 'on', 'the', 'ring', 'distribution', 'that', 'lead', 'to', 'intense', 'but', 'narrow', 'band', 'emission', 'from', 'their', 'high', 'speed', 'sides', 'and', 'absorption', 'at', 'slightly', 'higher', 'frequency', 'from', 'their', 'low', 'speed', 'sides', 'the', 'twins', 'of', 'banded', 'emission', 'and', 'absorption', 'move', 'in', 'frequency', 'space', 'due', 'to', 'the', 'average', 'real', 'space', 'displacement', 'of', 'the', 'deformed', 'electron', 'hole']] | [-0.13394451500406782, 0.17827830903148506, -0.03277421668802101, 0.09132655803289236, -0.06359360531791765, -0.12114715902835019, 0.011799714811622425, 0.43390055643604664, -0.23427875100501946, -0.2942628072088066, 0.037322772052349115, -0.2792089155181906, -0.05034781998562578, 0.1759091607676609, -0.01881767810638329, -0.04371688969055176, 0.016875984493811103, -0.0073925729567899294, -0.06941118287762865, -0.15010299016826584, 0.3329101905709875, 0.12320144181804997, 0.3045671799997414, 0.05547663364279315, 0.07168168314781628, 0.012811207573132631, 0.025119717547992117, 0.02854313874963839, -0.059722600916695526, 0.08828990150390095, 0.1792517990032316, 0.021072943575848314, 0.23073192203550466, -0.4297352140161902, -0.21622939220860712, 0.04982873810721295, 0.16802321922356137, 0.07625019089826487, -0.10471649359144915, -0.25878322128420067, -0.013431494516369543, -0.15629705741889494, -0.20120388180493637, 0.008118965922105582, 0.055577182519963866, 0.0200342757529334, -0.22580374030727207, 0.12987795344000697, 0.06593230233223114, 0.05265854110002966, -0.09252189028276396, -0.06290138325534929, -0.07709792254254558, 0.06388831076387726, 0.07921231528428993, 0.0687348214056889, 0.21619862717089655, -0.12965229119230967, -0.03823985518971668, 0.36893354025774433, -0.0715018976794878, -0.14733396562978737, 0.17897264306657576, -0.29559779262627106, -0.05761530366551159, 0.2563705131537596, 0.17350999582418822, 0.09845910095294616, -0.035542159975979905, 0.059141426214806496, -0.012305242828744695, 0.15478805985819913, 0.11989906702638793, 0.08703740681976752, 0.3419527194722682, 0.09406385139240078, 0.06555977546744735, 0.09673156573864303, -0.1530187408373292, -0.09494195617752892, -0.24918461580501688, -0.10867335230000037, -0.15697154790492154, 0.05130319369810676, -0.0734872202091558, -0.19323902493132686, 0.3642660098927642, 0.09035752499756172, 0.20776934196115157, -0.06240395201751752, 0.2928065946579224, 0.13972946233641273, 0.06367093985340089, 0.08838532417592473, 0.29224308070383576, 0.14124004382472066, 0.11931610395571679, -0.2593477154378184, 0.029364806298810737, 0.015060942066847383] |
712.0186 | Two-photon decay of light scalars: a comparison of tetraquark and
quarkonium assignments | Two-photon decays of light scalar mesons are discussed within the quarkonium
and tetraquark asignements: in both cases the decay rate of the sigma
resonances turns out to be smaller than 1 keV.
| hep-ph | twophoton decays of light scalar mesons are discussed within the quarkonium and tetraquark asignements in both cases the decay rate of the sigma resonances turns out to be smaller than 1 kev | [['twophoton', 'decays', 'of', 'light', 'scalar', 'mesons', 'are', 'discussed', 'within', 'the', 'quarkonium', 'and', 'tetraquark', 'asignements', 'in', 'both', 'cases', 'the', 'decay', 'rate', 'of', 'the', 'sigma', 'resonances', 'turns', 'out', 'to', 'be', 'smaller', 'than', '1', 'kev']] | [-0.04022403222118174, 0.28958950720487103, -0.06253517289916354, 0.20590817599347042, -0.0038669552774198593, -0.22880066011942202, 0.04085977383393554, 0.3399235334007009, -0.13720184518024325, -0.15839622446125554, -0.0490706360020164, -0.37344113079410407, 0.06288847723795522, 0.14109944071500533, 0.12840184000801416, 0.09860937082539162, 0.07334322088788595, 0.0492933881018431, -0.03650009958073497, -0.2545837538857614, 0.27581149892460916, -0.007500989903365412, 0.11018651145540419, 0.1734807809153872, -0.077060638371134, -0.0411941320935805, 0.015235845420149064, -0.11867105050887697, -0.09483088396729962, 0.014049154105446032, 0.21484367273026897, 0.09042968382240243, 0.17065727353216179, -0.31479091197252274, -0.15152682934422046, 0.14924935395679167, 0.2758727402486388, 0.06257279933760723, 0.04338739816129448, -0.36937381677149284, 0.16791962956889503, -0.11644366985907958, -0.1041225296174807, -0.075252985281329, 0.027814087457954884, -0.06901567946037938, -0.30863242983938227, 0.13691915914175973, -0.08392083903233852, 0.009076484569138097, -0.035292374676153544, -0.28419733996833524, -0.019414038066902468, -0.049777365920524445, 0.1700023367039619, 0.07694371601927184, 0.22432048841109198, -0.1486935239705828, -0.13113712961409962, 0.42925316383761747, -0.09662165852768662, -0.18255995959043503, 0.07416010453485913, -0.1917461735166369, -0.054196935672793656, 0.2148087821420162, 0.15620380519859253, 0.10333617785645108, -0.1301015321345579, 0.05042277797568409, -0.003425595057647555, 0.23350228152928815, 0.14758284656601328, 0.17819365528562375, 0.2195080682755478, 0.17536494334138208, -0.06304159987672803, 0.1001434473944227, -0.07250546387607051, -0.12319968965265059, -0.40003308906189855, -0.13373339080041455, -0.03320345069251714, 0.09632442831512421, -0.047908448508561345, -0.035385768349853255, 0.42179454274235234, -0.012068733152362609, 0.23081896332423052, -0.01691474510176528, 0.27242503976148946, 0.13781336009983094, 0.06208076159800253, 0.10654456697164043, 0.3893250722077585, 0.25733462159311576, 0.10961574027615209, -0.27721045761098784, -0.06653815377203207, -0.04823373933322728] |
712.0187 | The Broadband Spectrum of Galaxy Clusters | We examine whether nonthermal protons energized during a cluster merger are
simultaneously responsible for the Coma cluster's diffuse radio flux (via
secondary decay) and the departure of its intra-cluster medium (ICM) from a
thermal profile via Coulomb collisions between the quasithermal electrons and
the hadrons. Rather than approximating the influence of nonthermal
proton/thermal electron collisions as extremely rare events which cause an
injection of nonthermal, power-law electrons (the `knock-on' approximation), we
self-consistently solve (to our knowledge, for the first time) the covariant
kinetic equations for the two populations. The electron population resulting
from these collisions is out of equilibrium, yet not a power law, and
importantly displays a higher bremsstrahlung radiative efficiency than a pure
power law. Observations with GLAST will test this model directly.
| astro-ph | we examine whether nonthermal protons energized during a cluster merger are simultaneously responsible for the coma clusters diffuse radio flux via secondary decay and the departure of its intracluster medium icm from a thermal profile via coulomb collisions between the quasithermal electrons and the hadrons rather than approximating the influence of nonthermal protonthermal electron collisions as extremely rare events which cause an injection of nonthermal powerlaw electrons the knockon approximation we selfconsistently solve to our knowledge for the first time the covariant kinetic equations for the two populations the electron population resulting from these collisions is out of equilibrium yet not a power law and importantly displays a higher bremsstrahlung radiative efficiency than a pure power law observations with glast will test this model directly | [['we', 'examine', 'whether', 'nonthermal', 'protons', 'energized', 'during', 'a', 'cluster', 'merger', 'are', 'simultaneously', 'responsible', 'for', 'the', 'coma', 'clusters', 'diffuse', 'radio', 'flux', 'via', 'secondary', 'decay', 'and', 'the', 'departure', 'of', 'its', 'intracluster', 'medium', 'icm', 'from', 'a', 'thermal', 'profile', 'via', 'coulomb', 'collisions', 'between', 'the', 'quasithermal', 'electrons', 'and', 'the', 'hadrons', 'rather', 'than', 'approximating', 'the', 'influence', 'of', 'nonthermal', 'protonthermal', 'electron', 'collisions', 'as', 'extremely', 'rare', 'events', 'which', 'cause', 'an', 'injection', 'of', 'nonthermal', 'powerlaw', 'electrons', 'the', 'knockon', 'approximation', 'we', 'selfconsistently', 'solve', 'to', 'our', 'knowledge', 'for', 'the', 'first', 'time', 'the', 'covariant', 'kinetic', 'equations', 'for', 'the', 'two', 'populations', 'the', 'electron', 'population', 'resulting', 'from', 'these', 'collisions', 'is', 'out', 'of', 'equilibrium', 'yet', 'not', 'a', 'power', 'law', 'and', 'importantly', 'displays', 'a', 'higher', 'bremsstrahlung', 'radiative', 'efficiency', 'than', 'a', 'pure', 'power', 'law', 'observations', 'with', 'glast', 'will', 'test', 'this', 'model', 'directly']] | [-0.040615937931673424, 0.2136361796997775, -0.12483769535057006, 0.16398781182755146, -0.05260240721831759, -0.1001261722506775, 0.04527613315956607, 0.3688351656610687, -0.24513837802148755, -0.3280685483177583, -0.03712206257830163, -0.31988972751423717, 0.02786272877616988, 0.1791601143232847, 0.08009134905202495, -0.03133825896234597, 0.05892550352690441, -0.06488671342301514, -0.0022969599888329546, -0.1690050266427739, 0.28192160022445023, 0.18237005687889554, 0.22114701588795851, 0.06219626270091882, 0.0809627893914078, -0.046051562606026566, -0.0266611494589597, -0.007388407935298259, -0.06437171237062543, 0.019984026504502136, 0.18942519404264468, 0.06646334625510199, 0.22607652210412668, -0.4723205657886161, -0.25042275941344877, 0.12427855668694622, 0.19052278637630685, 0.05169575495716755, -0.07683605835923264, -0.22680724074692285, 0.01856450728542592, -0.23332860978365305, -0.16798219652170496, 0.027967753444587993, 0.0036960446842943294, 0.03151860158240813, -0.275808310034805, 0.17593970299029962, 0.03753394494020951, -0.00857351936640278, -0.10582223570729125, -0.06276611100897313, -0.04206264867623817, 0.05970245026307361, 0.07653803281737642, -0.011043519397536594, 0.23304896714961937, -0.13062241299532265, -0.08406557368054506, 0.4219102949024208, -0.022258428545272532, -0.06912021664902568, 0.19782949950932827, -0.19565836742009607, -0.13685897751636203, 0.2189680146759436, 0.17226152582424542, 0.08620580248105163, -0.2159368494270189, -0.007658027312924875, -0.004590863600418332, 0.1636010288812911, 0.043545821182159404, 0.0294061726965611, 0.27314429244612376, 0.11329400712894576, 0.011416713902426342, 0.14469773870622438, -0.16273573890794069, -0.056254586474331576, -0.27856821484953886, -0.09344044295064505, -0.16125982846396283, 0.10732693799910785, -0.09617000900834682, -0.1211394727804638, 0.3648192199323075, 0.09483236817815792, 0.15604125936102542, 0.01777343703490201, 0.3584243002152371, 0.13713330685746886, 0.001832666553861101, 0.15507081061256148, 0.2762913342148456, 0.16448531363670144, 0.1420731671058738, -0.29141497500841657, 0.0816888355484773, 0.0004404735124309457] |
712.0188 | Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds | We propose defect lines as a useful tool to study bulk perturbations of
conformal field theories, in particular to analyse the induced renormalisation
group flows of boundary conditions. As a concrete example we investigate bulk
perturbations of N=2 supersymmetric minimal models. To these perturbations we
associate a special class of defects between the respective UV and IR theories,
whose fusion with boundary conditions indeed reproduces the behaviour of the
latter under the corresponding RG flows. v2: Some explanations added in section
4, minor changes.
| hep-th | we propose defect lines as a useful tool to study bulk perturbations of conformal field theories in particular to analyse the induced renormalisation group flows of boundary conditions as a concrete example we investigate bulk perturbations of n2 supersymmetric minimal models to these perturbations we associate a special class of defects between the respective uv and ir theories whose fusion with boundary conditions indeed reproduces the behaviour of the latter under the corresponding rg flows v2 some explanations added in section 4 minor changes | [['we', 'propose', 'defect', 'lines', 'as', 'a', 'useful', 'tool', 'to', 'study', 'bulk', 'perturbations', 'of', 'conformal', 'field', 'theories', 'in', 'particular', 'to', 'analyse', 'the', 'induced', 'renormalisation', 'group', 'flows', 'of', 'boundary', 'conditions', 'as', 'a', 'concrete', 'example', 'we', 'investigate', 'bulk', 'perturbations', 'of', 'n2', 'supersymmetric', 'minimal', 'models', 'to', 'these', 'perturbations', 'we', 'associate', 'a', 'special', 'class', 'of', 'defects', 'between', 'the', 'respective', 'uv', 'and', 'ir', 'theories', 'whose', 'fusion', 'with', 'boundary', 'conditions', 'indeed', 'reproduces', 'the', 'behaviour', 'of', 'the', 'latter', 'under', 'the', 'corresponding', 'rg', 'flows', 'v2', 'some', 'explanations', 'added', 'in', 'section', '4', 'minor', 'changes']] | [-0.15429304364979976, 0.12803684576785945, -0.06980421342000011, 0.09173400826486093, -0.030413450955945467, -0.1465576425294525, -0.03568448514505733, 0.36048326861401575, -0.22676813652339792, -0.26285384568369147, 0.11644402332881111, -0.24651652676264002, -0.17811209385815477, 0.11886342156157341, -0.07582226199364024, 0.04129465830711914, 0.0007413548716743078, 0.05394222902222758, -0.11755436937701666, -0.1982960657637921, 0.35820446968344705, 0.025194811324278515, 0.2350944022279388, 0.05856495972243249, 0.01667225532721551, -0.027985548583923707, -0.02144297880918852, 0.06955076051720728, -0.20406150277371385, 0.11071205929060636, 0.22333743100383194, 0.03759794160058456, 0.17639385868928262, -0.4418827212814774, -0.25199196906760335, 0.11236667458433658, 0.08812335910763414, 0.12549158328744983, -0.031237217838809426, -0.2412685357322473, 0.08843420860024967, -0.1480711476123404, -0.190266411962165, -0.05787592823062802, 0.010966097466215225, -0.05894586290620888, -0.24972059724608525, 0.04652316049517443, 0.02732030514536226, 0.07724887593871071, -0.08225737814514321, -0.028812735992860758, -0.12010651968497162, 0.11850983368986774, 0.13051088160968252, -0.016782982188964353, 0.17883218972322842, -0.20363677000915187, -0.09873307388763697, 0.4127144452982715, -0.12117933703675157, -0.18033830501094816, 0.2292183443593482, -0.1217824853291469, -0.18279532030490891, 0.09598006228389706, 0.15975373159606188, 0.15608022950445524, -0.12887890835381335, 0.13067223318406226, -0.040416684242830216, 0.09578373987183329, 0.08694039412685448, 0.03694000135874376, 0.2003097322636417, 0.07180423453627598, 0.050489828356408646, 0.18045242660515387, -0.03399375688085066, -0.06915323946824563, -0.43358949048533324, -0.15137377553175957, -0.04226236352475271, 0.07223896919250754, -0.12829711233453486, -0.19904632650459894, 0.397490815946921, 0.15530572770287454, 0.22805904426855877, 0.018254558101207727, 0.18026819563515128, 0.09490331847475664, 0.07425716965614508, 0.0649318109721034, 0.19422193650063405, 0.17547187509037376, 0.05856995657502141, -0.24271775240499882, -0.04106917408561068, 0.12563512262533463] |
712.0189 | Summarization and Classification of Non-Poisson Point Processes | Fitting models for non-Poisson point processes is complicated by the lack of
tractable models for much of the data. By using large samples of independent
and identically distributed realizations and statistical learning, it is
possible to identify absence of fit through finding a classification rule that
can efficiently identify single realizations of each type. The method requires
a much wider range of descriptive statistics than are currently in use, and a
new concept of model fitting which is derive from how physical laws are judged
to fit data.
| stat.ME stat.AP stat.ML | fitting models for nonpoisson point processes is complicated by the lack of tractable models for much of the data by using large samples of independent and identically distributed realizations and statistical learning it is possible to identify absence of fit through finding a classification rule that can efficiently identify single realizations of each type the method requires a much wider range of descriptive statistics than are currently in use and a new concept of model fitting which is derive from how physical laws are judged to fit data | [['fitting', 'models', 'for', 'nonpoisson', 'point', 'processes', 'is', 'complicated', 'by', 'the', 'lack', 'of', 'tractable', 'models', 'for', 'much', 'of', 'the', 'data', 'by', 'using', 'large', 'samples', 'of', 'independent', 'and', 'identically', 'distributed', 'realizations', 'and', 'statistical', 'learning', 'it', 'is', 'possible', 'to', 'identify', 'absence', 'of', 'fit', 'through', 'finding', 'a', 'classification', 'rule', 'that', 'can', 'efficiently', 'identify', 'single', 'realizations', 'of', 'each', 'type', 'the', 'method', 'requires', 'a', 'much', 'wider', 'range', 'of', 'descriptive', 'statistics', 'than', 'are', 'currently', 'in', 'use', 'and', 'a', 'new', 'concept', 'of', 'model', 'fitting', 'which', 'is', 'derive', 'from', 'how', 'physical', 'laws', 'are', 'judged', 'to', 'fit', 'data']] | [-0.012546055886725133, 0.07523624505847692, -0.08826792054936629, 0.0985624072213382, -0.11179285266817632, -0.17246701985872773, 0.08902956789825112, 0.36446660761298105, -0.26647644021961076, -0.37423849482597277, 0.10922292374280831, -0.25239025708287954, -0.10327452833669006, 0.24607237724756653, -0.047321264356882733, 0.038057271602817556, 0.057957415527198464, 0.007510036706331779, -0.05435033096860438, -0.2111828831574795, 0.31108458834536246, 0.061887712191409344, 0.3103534314908426, -0.06206137496999211, 0.06864715263046409, 0.00212595403321426, -0.08998459518294442, 0.003569545775958845, -0.09809036372768208, 0.1392018982468554, 0.24603916116864805, 0.17761622492906265, 0.25293602811341936, -0.3661312776490707, -0.2612937067275528, 0.1323815172813325, 0.14524238389011854, 0.12236613300443754, 0.0012843221828172152, -0.2276415980939584, 0.09395715583708476, -0.1403867540754039, -0.10182588854381307, -0.15207479839260818, 0.02138576534079303, 0.03825916892806576, -0.3171665964817459, 0.09775124965976416, 0.03777496626769954, 0.06779675598954782, -0.021363412548618562, -0.11261024968486956, 0.005228066819571805, 0.11258140754018148, 0.024282391761186194, -0.01751385285751894, 0.11045364898481322, -0.13940855172801425, -0.10532451041085138, 0.40666691065681254, -0.005330369607525592, -0.20313739405140618, 0.2046094258548692, -0.0915892395106229, -0.1418368408022533, 0.1438307099795731, 0.1743595453921113, 0.11463414516765624, -0.2340231687253849, 0.04252200734878319, -0.05310754985971884, 0.1587904858689316, -0.0156194334638051, -0.0017623952431180937, 0.23784126070941883, 0.19302334958179432, 0.02645025037186728, 0.12869626136324025, -0.08302300818666647, -0.12286838276420232, -0.29511161720041523, -0.08328265944675711, -0.21768547186035325, 0.026531664675778964, -0.0987357028850304, -0.15904305294283072, 0.38606388244079426, 0.20346649101173336, 0.22716673895907166, 0.08275206131061581, 0.29314419059929525, 0.12019999262305316, 0.10597260056105866, 0.044037701188988816, 0.1952350867742842, 0.0880710231193172, 0.036796916064552286, -0.11769738694155504, 0.11298259109025821, -0.02541381906485185] |
712.019 | A Family of Non-Abelian Kitaev Models on a Lattice: Topological
Confinement and Condensation | We study a family of non-Abelian topological models in a lattice that arise
by modifying the Kitaev model through the introduction of single-qudit terms.
The effect of these terms amounts to a reduction of the discrete gauge symmetry
with respect to the original systems, which corresponds to a generalized
mechanism of explicit symmetry breaking. The topological order is either
partially lost or completely destroyed throughout the various models. The new
systems display condensation and confinement of the topological charges present
in the standard non-Abelian Kitaev models, which we study in terms of ribbon
operator algebras.
| cond-mat.str-el hep-th quant-ph | we study a family of nonabelian topological models in a lattice that arise by modifying the kitaev model through the introduction of singlequdit terms the effect of these terms amounts to a reduction of the discrete gauge symmetry with respect to the original systems which corresponds to a generalized mechanism of explicit symmetry breaking the topological order is either partially lost or completely destroyed throughout the various models the new systems display condensation and confinement of the topological charges present in the standard nonabelian kitaev models which we study in terms of ribbon operator algebras | [['we', 'study', 'a', 'family', 'of', 'nonabelian', 'topological', 'models', 'in', 'a', 'lattice', 'that', 'arise', 'by', 'modifying', 'the', 'kitaev', 'model', 'through', 'the', 'introduction', 'of', 'singlequdit', 'terms', 'the', 'effect', 'of', 'these', 'terms', 'amounts', 'to', 'a', 'reduction', 'of', 'the', 'discrete', 'gauge', 'symmetry', 'with', 'respect', 'to', 'the', 'original', 'systems', 'which', 'corresponds', 'to', 'a', 'generalized', 'mechanism', 'of', 'explicit', 'symmetry', 'breaking', 'the', 'topological', 'order', 'is', 'either', 'partially', 'lost', 'or', 'completely', 'destroyed', 'throughout', 'the', 'various', 'models', 'the', 'new', 'systems', 'display', 'condensation', 'and', 'confinement', 'of', 'the', 'topological', 'charges', 'present', 'in', 'the', 'standard', 'nonabelian', 'kitaev', 'models', 'which', 'we', 'study', 'in', 'terms', 'of', 'ribbon', 'operator', 'algebras']] | [-0.16289435463320268, 0.19845102620556165, -0.052795597077592425, 0.07314781749155372, -0.05835139555366416, -0.1195275280722662, 0.03337255970967051, 0.30727667996757907, -0.28477637144357065, -0.27814176094191345, 0.10200008957426211, -0.24451349965345703, -0.167993584512978, 0.09670348077718365, -0.04342983579400951, 0.012271755718086896, -0.014763130620121957, 0.021611450024341283, -0.13222246180092426, -0.25906113996905716, 0.33469604903734046, 0.008355110634951608, 0.2860622713146241, 0.05800980204520257, 0.06110675339341948, -0.003647121355721825, 0.01984363698253506, 0.009848126318109662, -0.11106623030109883, 0.13902891071170176, 0.16301862571023154, -0.018316073205910232, 0.15853516504560647, -0.4254385285275547, -0.243671727974556, 0.13072556296461507, 0.12753910101509017, 0.16768629501671775, -0.04095024660376734, -0.3186670444415588, 0.08846532162769061, -0.246011257250058, -0.13880701992097066, -0.08608308107788233, -0.03460427929990386, -0.0421076494269073, -0.21640544955520646, 0.0820348970641039, 0.12775376323414475, 0.08752890251772968, -0.05043077102378256, -0.03517502376711682, -0.09720834633948183, 0.0722074711817856, 0.06137929438784914, -0.00016332519191660378, 0.06669814188866631, -0.1841846289566571, -0.1747284990073623, 0.4394803707212161, -0.05078740577139941, -0.2181476895011177, 0.19419562812698515, -0.09085921104507226, -0.12782738450669537, 0.11818997510708869, 0.14041926639681485, 0.10084043798330976, -0.11867715289914295, 0.1337375867566535, -0.04933205012624201, 0.12211543659091388, 0.007841183529480508, 0.0642184888306809, 0.2512616632996421, 0.10106841137718507, 0.04891318322012299, 0.21805633328070767, 0.00949542639458454, -0.14634491689503193, -0.3484660217244374, -0.1636106675294669, -0.1616764871207507, 0.0540126129200584, -0.05186258910061473, -0.19963616262141026, 0.45507143875093836, 0.15303470080130194, 0.20603712915295833, -0.0116087968436707, 0.1929207683050711, 0.1298549438091485, 0.11647982735456408, -0.0013823912987534544, 0.16231583594099472, 0.1636398648230457, 0.05409654757240787, -0.24245828707996558, 0.00017772620347769637, 0.15339153791826807] |
712.0191 | Magnetic fields in massive stars | We review the recent discoveries of magnetic fields in different types of
massive stars and briefly discuss strategies for spectropolarimetric
observations to be carried out in the future.
| astro-ph | we review the recent discoveries of magnetic fields in different types of massive stars and briefly discuss strategies for spectropolarimetric observations to be carried out in the future | [['we', 'review', 'the', 'recent', 'discoveries', 'of', 'magnetic', 'fields', 'in', 'different', 'types', 'of', 'massive', 'stars', 'and', 'briefly', 'discuss', 'strategies', 'for', 'spectropolarimetric', 'observations', 'to', 'be', 'carried', 'out', 'in', 'the', 'future']] | [-0.13247595275087015, 0.1502771751090352, -0.016694278589316776, 0.04901141633412668, -0.10690365485580904, -0.053003334772906134, 0.0756157685204276, 0.39765327104500364, -0.17916545777448586, -0.30642075206352665, 0.144522318890917, -0.26611880475788247, -0.1290066735818982, 0.23616239016077348, -0.027742569600897177, -0.033115548347788196, 0.11059727473184466, -0.05678438441827893, -0.06903772062755056, -0.34415700705721974, 0.3369504881224462, 0.08413175054426704, 0.2078179994464985, -0.017404394756470407, -0.004623570745544774, -0.06257008485096906, -0.200222784653306, 0.042422555786158354, -0.17244177677431644, 0.03160092479083687, 0.28248199906998445, 0.20063632779887744, 0.24178121272208436, -0.49940199850659284, -0.2376399141004575, 0.03523222247271666, 0.14918306064126746, 0.11272005676957113, -0.09261268433848661, -0.3074307932651469, 0.0857586100194437, -0.11535128711589746, -0.20970240760860698, -0.08960787592721838, 0.032265722236063867, 0.08229393252570714, -0.2281490270314472, 0.011027520942401938, -0.031148357329324687, 0.12771008289044922, -0.10485443696961738, -0.21501344362539904, 0.05566226012472596, 0.07525510380842856, 0.14216820815844194, -0.007183288190779942, 0.08029571117367595, -0.19424325555363403, -0.17295083616461074, 0.3136573052033782, -0.04157307916986091, -0.05803998273664287, 0.2041019609148082, -0.20970916621653096, -0.28188191780022215, 0.011830346126641546, 0.21907533798366785, 0.18507163379607455, -0.1750056485845042, -0.009628949555917643, 0.02468140052431928, 0.050657181268824, 0.010625115828588605, 0.11502555079225983, 0.4151159304061106, 0.1753197481988796, -0.07199091459291854, 0.12537583024823107, -0.2121980479319713, -0.07718434901575424, -0.27815718915579574, -0.1807233101156141, -0.06072631611355713, 0.04892977044385459, -0.024895957288078665, -0.029375082779941813, 0.40941283266459194, 0.2678739762465869, 0.14584418486005493, -0.08027973059298736, 0.27446218446961473, 0.01870136501799737, 0.07965107731121991, 0.03145051817409694, 0.3538181417222534, 0.1863040846905538, 0.1791696998822902, -0.18900123195323562, -0.08420404555259406, -0.05478302289598754] |
712.0192 | The Non-Backtracking Spectrum of the Universal Cover of a Graph | A non-backtracking walk on a graph, $H$, is a directed path of directed edges
of $H$ such that no edge is the inverse of its preceding edge. Non-backtracking
walks of a given length can be counted using the non-backtracking adjacency
matrix, $B$, indexed by $H$'s directed edges and related to Ihara's Zeta
function. We show how to determine $B$'s spectrum in the case where $H$ is a
tree covering a finite graph. We show that when $H$ is not regular, this
spectrum can have positive measure in the complex plane, unlike the regular
case. We show that outside of $B$'s spectrum, the corresponding Green function
has ``periodic decay ratios.'' The existence of such a ``ratio system'' can be
effectively checked, and is equivalent to being outside the spectrum. We also
prove that the spectral radius of the non-backtracking walk operator on the
tree covering a finite graph is exactly $\sqrt\gr$, where $\gr$ is the growth
rate of the tree. This further motivates the definition of the graph
theoretical Riemann hypothesis proposed by Stark and Terras \cite{ST}. Finally,
we give experimental evidence that for a fixed, finite graph, $H$, a random
lift of large degree has non-backtracking new spectrum near that of $H$'s
universal cover. This suggests a new generalization of Alon's second eigenvalue
conjecture.
| math.CO | a nonbacktracking walk on a graph h is a directed path of directed edges of h such that no edge is the inverse of its preceding edge nonbacktracking walks of a given length can be counted using the nonbacktracking adjacency matrix b indexed by hs directed edges and related to iharas zeta function we show how to determine bs spectrum in the case where h is a tree covering a finite graph we show that when h is not regular this spectrum can have positive measure in the complex plane unlike the regular case we show that outside of bs spectrum the corresponding green function has periodic decay ratios the existence of such a ratio system can be effectively checked and is equivalent to being outside the spectrum we also prove that the spectral radius of the nonbacktracking walk operator on the tree covering a finite graph is exactly sqrtgr where gr is the growth rate of the tree this further motivates the definition of the graph theoretical riemann hypothesis proposed by stark and terras citest finally we give experimental evidence that for a fixed finite graph h a random lift of large degree has nonbacktracking new spectrum near that of hs universal cover this suggests a new generalization of alons second eigenvalue conjecture | [['a', 'nonbacktracking', 'walk', 'on', 'a', 'graph', 'h', 'is', 'a', 'directed', 'path', 'of', 'directed', 'edges', 'of', 'h', 'such', 'that', 'no', 'edge', 'is', 'the', 'inverse', 'of', 'its', 'preceding', 'edge', 'nonbacktracking', 'walks', 'of', 'a', 'given', 'length', 'can', 'be', 'counted', 'using', 'the', 'nonbacktracking', 'adjacency', 'matrix', 'b', 'indexed', 'by', 'hs', 'directed', 'edges', 'and', 'related', 'to', 'iharas', 'zeta', 'function', 'we', 'show', 'how', 'to', 'determine', 'bs', 'spectrum', 'in', 'the', 'case', 'where', 'h', 'is', 'a', 'tree', 'covering', 'a', 'finite', 'graph', 'we', 'show', 'that', 'when', 'h', 'is', 'not', 'regular', 'this', 'spectrum', 'can', 'have', 'positive', 'measure', 'in', 'the', 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712.0193 | First detection of polarized scattered light from an exoplanetary
atmosphere | We report the first direct detection of an exoplanet in the visible polarized
light. The transiting planet HD189733b is one of the very hot Jupiters with
shortest periods and, thus, smallest orbits, which makes them ideal candidates
for polarimetric detections. We obtained polarimetric measurements of HD189733
in the $B$ band well distributed over the orbital period and detected two
polarization maxima near planetary elongations with a peak amplitude of
$\sim2\cdot10^{-4}$. Assuming Rayleigh scattering, we estimated the effective
size of the scattering atmosphere (Lambert sphere) to be 1.5$\pm$0.2 $R_{\rm
J}$, which is 30% larger than the radius of the opaque body previously inferred
from transits. If the scattering matter fills the planetary Roche lobe, the
lower limit of the geometrical albedo can be estimated as 0.14. The phase
dependence of polarization indicates that the planetary orbit is oriented
almost in a north-south direction with a longitude of ascending node
$\Omega$=(16\degr or 196\degr)$\pm$8\degr. We obtain independent estimates of
the orbit inclination $i$=98\degr$\pm$8\degr and eccentricity $e$=0.0 (with an
uncertainty of 0.05) which are in excellent agreement with values determined
previously from transits and radial velocities. Our findings clearly
demonstrate the power of polarimetry and open a new dimension in exploring
exoplanetary atmospheres even for systems without transits.
| astro-ph | we report the first direct detection of an exoplanet in the visible polarized light the transiting planet hd189733b is one of the very hot jupiters with shortest periods and thus smallest orbits which makes them ideal candidates for polarimetric detections we obtained polarimetric measurements of hd189733 in the b band well distributed over the orbital period and detected two polarization maxima near planetary elongations with a peak amplitude of sim2cdot104 assuming rayleigh scattering we estimated the effective size of the scattering atmosphere lambert sphere to be 15pm02 r_rm j which is 30 larger than the radius of the opaque body previously inferred from transits if the scattering matter fills the planetary roche lobe the lower limit of the geometrical albedo can be estimated as 014 the phase dependence of polarization indicates that the planetary orbit is oriented almost in a northsouth direction with a longitude of ascending node omega16degr or 196degrpm8degr we obtain independent estimates of the orbit inclination i98degrpm8degr and eccentricity e00 with an uncertainty of 005 which are in excellent agreement with values determined previously from transits and radial velocities our findings clearly demonstrate the power of polarimetry and open a new dimension in exploring exoplanetary atmospheres even for systems without transits | [['we', 'report', 'the', 'first', 'direct', 'detection', 'of', 'an', 'exoplanet', 'in', 'the', 'visible', 'polarized', 'light', 'the', 'transiting', 'planet', 'hd189733b', 'is', 'one', 'of', 'the', 'very', 'hot', 'jupiters', 'with', 'shortest', 'periods', 'and', 'thus', 'smallest', 'orbits', 'which', 'makes', 'them', 'ideal', 'candidates', 'for', 'polarimetric', 'detections', 'we', 'obtained', 'polarimetric', 'measurements', 'of', 'hd189733', 'in', 'the', 'b', 'band', 'well', 'distributed', 'over', 'the', 'orbital', 'period', 'and', 'detected', 'two', 'polarization', 'maxima', 'near', 'planetary', 'elongations', 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712.0194 | Computing High Accuracy Power Spectra with Pico | This paper presents the second release of Pico (Parameters for the Impatient
COsmologist). Pico is a general purpose machine learning code which we have
applied to computing the CMB power spectra and the WMAP likelihood. For this
release, we have made improvements to the algorithm as well as the data sets
used to train Pico, leading to a significant improvement in accuracy. For the 9
parameter nonflat case presented here Pico can on average compute the TT, TE
and EE spectra to better than 1% of cosmic standard deviation for nearly all
$\ell$ values over a large region of parameter space. Performing a cosmological
parameter analysis of current CMB and large scale structure data, we show that
these power spectra give very accurate 1 and 2 dimensional parameter
posteriors. We have extended Pico to allow computation of the tensor power
spectrum and the matter transfer function. Pico runs about 1500 times faster
than CAMB at the default accuracy and about 250,000 times faster at high
accuracy. Training Pico can be done using massively parallel computing
resources, including distributed computing projects such as Cosmology@Home. On
the homepage for Pico, located at http://cosmos.astro.uiuc.edu/pico, we provide
new sets of regression coefficients and make the training code available for
public use.
| astro-ph | this paper presents the second release of pico parameters for the impatient cosmologist pico is a general purpose machine learning code which we have applied to computing the cmb power spectra and the wmap likelihood for this release we have made improvements to the algorithm as well as the data sets used to train pico leading to a significant improvement in accuracy for the 9 parameter nonflat case presented here pico can on average compute the tt te and ee spectra to better than 1 of cosmic standard deviation for nearly all ell values over a large region of parameter space performing a cosmological parameter analysis of current cmb and large scale structure data we show that these power spectra give very accurate 1 and 2 dimensional parameter posteriors we have extended pico to allow computation of the tensor power spectrum and the matter transfer function pico runs about 1500 times faster than camb at the default accuracy and about 250000 times faster at high accuracy training pico can be done using massively parallel computing resources including distributed computing projects such as cosmologyhome on the homepage for pico located at httpcosmosastrouiucedupico we provide new sets of regression coefficients and make the training code available for public use | [['this', 'paper', 'presents', 'the', 'second', 'release', 'of', 'pico', 'parameters', 'for', 'the', 'impatient', 'cosmologist', 'pico', 'is', 'a', 'general', 'purpose', 'machine', 'learning', 'code', 'which', 'we', 'have', 'applied', 'to', 'computing', 'the', 'cmb', 'power', 'spectra', 'and', 'the', 'wmap', 'likelihood', 'for', 'this', 'release', 'we', 'have', 'made', 'improvements', 'to', 'the', 'algorithm', 'as', 'well', 'as', 'the', 'data', 'sets', 'used', 'to', 'train', 'pico', 'leading', 'to', 'a', 'significant', 'improvement', 'in', 'accuracy', 'for', 'the', '9', 'parameter', 'nonflat', 'case', 'presented', 'here', 'pico', 'can', 'on', 'average', 'compute', 'the', 'tt', 'te', 'and', 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712.0195 | Quantum scattering at low energies | For a class of negative slowly decaying potentials, including
$V(x):=-\gamma|x|^{-\mu}$ with $0<\mu<2$, we study the quantum mechanical
scattering theory in the low-energy regime. Using modifiers of the
Isozaki-Kitada type we show that scattering theory is well behaved on the whole
continuous spectrum of the Hamiltonian, including the energy 0. We show that
the S-matrices are well-defined and strongly continuous down to the zero energy
threshold. Similarly, we prove that the wave matrices and generalized
eigenfunctions are norm continuous down to the zero energy if we use
appropriate weighted spaces. These results are used to derive (oscillatory)
asymptotics of the standard short-range and Dollard type S-matrices for the
subclasses of potentials where both kinds of S-matrices are defined. For
potentials whose leading part is $-\gamma|x|^{-\mu}$ we show that the location
of singularities of the kernel of $S(\lambda)$ experiences an abrupt change
from passing from positive energies $\lambda$ to the limiting energy
$\lambda=0$. This change corresponds to the behaviour of the classical orbits.
Under stronger conditions we extract the leading term of the asymptotics of the
kernel of $S(\lambda)$ at its singularities; this leading term defines a
Fourier integral operator in the sense of H\"ormander.
| math-ph math.AP math.MP | for a class of negative slowly decaying potentials including vxgammaxmu with 0mu2 we study the quantum mechanical scattering theory in the lowenergy regime using modifiers of the isozakikitada type we show that scattering theory is well behaved on the whole continuous spectrum of the hamiltonian including the energy 0 we show that the smatrices are welldefined and strongly continuous down to the zero energy threshold similarly we prove that the wave matrices and generalized eigenfunctions are norm continuous down to the zero energy if we use appropriate weighted spaces these results are used to derive oscillatory asymptotics of the standard shortrange and dollard type smatrices for the subclasses of potentials where both kinds of smatrices are defined for potentials whose leading part is gammaxmu we show that the location of singularities of the kernel of slambda experiences an abrupt change from passing from positive energies lambda to the limiting energy lambda0 this change corresponds to the behaviour of the classical orbits under stronger conditions we extract the leading term of the asymptotics of the kernel of slambda at its singularities this leading term defines a fourier integral operator in the sense of hormander | [['for', 'a', 'class', 'of', 'negative', 'slowly', 'decaying', 'potentials', 'including', 'vxgammaxmu', 'with', '0mu2', 'we', 'study', 'the', 'quantum', 'mechanical', 'scattering', 'theory', 'in', 'the', 'lowenergy', 'regime', 'using', 'modifiers', 'of', 'the', 'isozakikitada', 'type', 'we', 'show', 'that', 'scattering', 'theory', 'is', 'well', 'behaved', 'on', 'the', 'whole', 'continuous', 'spectrum', 'of', 'the', 'hamiltonian', 'including', 'the', 'energy', '0', 'we', 'show', 'that', 'the', 'smatrices', 'are', 'welldefined', 'and', 'strongly', 'continuous', 'down', 'to', 'the', 'zero', 'energy', 'threshold', 'similarly', 'we', 'prove', 'that', 'the', 'wave', 'matrices', 'and', 'generalized', 'eigenfunctions', 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712.0196 | Robust Bayesian detection of unmodelled bursts | A Bayesian treatment of the problem of detecting an unmodelled gravitational
wave burst with a global network of gravitational wave observatories reveals
that several previously proposed statistics have implicit biases that render
them sub-optimal for realistic signal populations.
| gr-qc | a bayesian treatment of the problem of detecting an unmodelled gravitational wave burst with a global network of gravitational wave observatories reveals that several previously proposed statistics have implicit biases that render them suboptimal for realistic signal populations | [['a', 'bayesian', 'treatment', 'of', 'the', 'problem', 'of', 'detecting', 'an', 'unmodelled', 'gravitational', 'wave', 'burst', 'with', 'a', 'global', 'network', 'of', 'gravitational', 'wave', 'observatories', 'reveals', 'that', 'several', 'previously', 'proposed', 'statistics', 'have', 'implicit', 'biases', 'that', 'render', 'them', 'suboptimal', 'for', 'realistic', 'signal', 'populations']] | [-0.17371039528791843, 0.016060306669571315, -0.09834593561428942, 0.17855176122516, -0.14425814112550334, -0.09738757586302726, 0.040768492378686606, 0.3777093458920717, -0.20287348467268443, -0.3227488394140413, 0.06358084065447513, -0.2445036780187174, -0.21505045988842061, 0.23715545619396786, 0.016692437501134055, 0.08238105372966904, 0.1003713657785403, -0.04189892309276681, -0.049391216071518626, -0.2097600095072075, 0.34639118924295825, 0.12465834441153627, 0.23163818793469354, -0.08477589739854202, 0.13818778225150277, -5.9491991506595363e-05, -0.08179275448875208, 0.010571818480170086, -0.0389813239840135, 0.030711629915075672, 0.2857290795563083, 0.23424017419548412, 0.3349248802191333, -0.465104029538404, -0.36154432967305183, 0.13910786263448627, 0.12058223293800104, 0.18200559796471344, -0.07874087771204741, -0.3816043682347395, -0.00013940263000365935, -0.23331122666499332, -0.09964628248034339, -0.012740619701186293, 0.03470322276514612, 0.06415409553722527, -0.283091894203895, 0.13071398765436912, -0.02126786581510188, 0.001911430325555174, -0.0809294884950903, -0.08950377304695155, 0.017454563713583508, 0.10071077945299055, 0.0898180205718075, 0.052616323920358955, 0.12072740941259422, -0.15887962296409042, -0.13058814778923988, 0.3268619293445035, -0.012445719587910724, -0.1795020349090919, 0.16833400380748667, -0.09326920962255252, -0.1697242325416913, 0.22991837534171186, 0.18236327043881542, 0.06231301670011721, -0.21791006369810356, -0.038971555125164356, -0.018090532136021034, 0.17888280146412158, 0.081120052656747, 0.0725211586411062, 0.26057777994949566, 0.16450892729488642, 0.1093667614776151, 0.0668603278892605, -0.19798482020345737, 0.0043789433119328395, -0.2385939302560138, -0.04239453049376607, -0.16147137906304315, -0.005148814596683032, -0.09921404627445889, -0.21339106518088988, 0.4003547210932562, 0.20469777342422227, 0.08694526212485998, 0.1211928428934985, 0.3174739540799668, 0.09169108306033243, 0.016840708687117224, 0.0251730396412313, 0.33451609431128754, 0.08897974508765497, 0.06078476115669075, -0.22400639539486483, 0.09530307348866604, -0.020843769203087215] |
712.0197 | Pulsar Kicks With Sterile Neutrinos and Landau Levels | We use a model with two sterile neutrinos obtained by fits to the MiniBoone
and LSND experiments. Using formulations with neutrinos created by URCA
Processes in a strong magnetic field, so the lowest Landau level has a sizable
probability, we find that with known paramenters the assymetric sterile
neutrino emissivity might account for large pulsar kicks.
| astro-ph | we use a model with two sterile neutrinos obtained by fits to the miniboone and lsnd experiments using formulations with neutrinos created by urca processes in a strong magnetic field so the lowest landau level has a sizable probability we find that with known paramenters the assymetric sterile neutrino emissivity might account for large pulsar kicks | [['we', 'use', 'a', 'model', 'with', 'two', 'sterile', 'neutrinos', 'obtained', 'by', 'fits', 'to', 'the', 'miniboone', 'and', 'lsnd', 'experiments', 'using', 'formulations', 'with', 'neutrinos', 'created', 'by', 'urca', 'processes', 'in', 'a', 'strong', 'magnetic', 'field', 'so', 'the', 'lowest', 'landau', 'level', 'has', 'a', 'sizable', 'probability', 'we', 'find', 'that', 'with', 'known', 'paramenters', 'the', 'assymetric', 'sterile', 'neutrino', 'emissivity', 'might', 'account', 'for', 'large', 'pulsar', 'kicks']] | [-0.06534548677842725, 0.3001684314994649, -0.006501631133935668, 0.22235334986312824, -0.09078401205214587, -0.1383647213689983, 0.10568282001397826, 0.3455637371336872, -0.15503679310733623, -0.34607810979201037, -0.044057358100756325, -0.31400941007516603, -0.03431381540034305, 0.1636178382249041, 0.053748941641639576, -0.008052970181134614, 0.11844718383244154, -0.04504584744572639, -0.06499250210736963, -0.21664603848026176, 0.27666581413623964, 0.12138648415831002, 0.19348136924884535, 0.06710587006739595, 0.11336472447622906, -0.06729390438307416, -0.01949079978195104, -0.025559031997214664, -0.09631310670533408, -0.015877945111556487, 0.1959162708498876, 0.09922767997804013, 0.1428970198400996, -0.4588465385816314, -0.2538241770922799, 0.1509057100629434, 0.1477946745443412, 0.10030462538654154, -0.12913218598643486, -0.33724922490390863, 0.024605090001767332, -0.2548153199932792, -0.1352497871118513, -0.061580371259796346, -0.08631568326911127, -0.02970742227678949, -0.32181889055804774, 0.06768618659116328, -0.031627204624766654, -0.04906311502510851, -0.08213746234435927, -0.20993036939339205, 0.02475763691419905, 0.003773539077321237, 0.18866344256622886, -0.041230410876662724, 0.08303064856339584, -0.1557585499757393, -0.14516117557121272, 0.40924378647045656, -0.13929379050281238, -0.13770812241868538, 0.12425691812637854, -0.23716698554767804, -0.14278017634695225, 0.17198082968931305, 0.11445066439495845, -0.005769837715409018, -0.18745787665247918, 0.08841269946635955, -0.12760688748041338, 0.18399493860250168, 0.08170358343473212, -0.043641336846419354, 0.3073282106525519, 0.19388226643310522, 0.07366636932234873, -0.03175437073646621, -0.20393023823119372, 0.019412759826941923, -0.31429675526239653, -0.04173389579254118, -0.07542151028967717, 0.10434642882848327, -0.04782368804894346, -0.10512450523674488, 0.35523380134254695, 0.13635108175433494, 0.18345246626572176, -0.01669959088110111, 0.3054845625703985, 0.13755905427546664, 0.0750182728367773, 0.07707204463976351, 0.32441841561177914, 0.17003109499981459, 0.11031838486140425, -0.2423016699200327, 0.009612374312498354, 0.04364277449521151] |
712.0198 | Screening-Limited Response of NanoBiosensors | Despite tremendous potential of highly sensitive electronic detection of
bio-molecules by nanoscale biosensors for genomics and proteomic applications,
many aspects of experimentally observed sensor response (S) are unexplained
within consistent theoretical frameworks of kinetic response or electrical
screening. In this paper, we combine analytic solutions of Poisson-Boltzmann
and reaction-diffusion equations to show that the electrical response of
nanobiosensor varies logarithmically with the concentration of target
molecules, time, the salt concentration, and inversely with the fractal
dimension of sensor surface. Our analysis provides a coherent theoretical
interpretation of wide variety of puzzling experimental data that have so far
defied intuitive explanation.
| cond-mat.soft cond-mat.mes-hall | despite tremendous potential of highly sensitive electronic detection of biomolecules by nanoscale biosensors for genomics and proteomic applications many aspects of experimentally observed sensor response s are unexplained within consistent theoretical frameworks of kinetic response or electrical screening in this paper we combine analytic solutions of poissonboltzmann and reactiondiffusion equations to show that the electrical response of nanobiosensor varies logarithmically with the concentration of target molecules time the salt concentration and inversely with the fractal dimension of sensor surface our analysis provides a coherent theoretical interpretation of wide variety of puzzling experimental data that have so far defied intuitive explanation | [['despite', 'tremendous', 'potential', 'of', 'highly', 'sensitive', 'electronic', 'detection', 'of', 'biomolecules', 'by', 'nanoscale', 'biosensors', 'for', 'genomics', 'and', 'proteomic', 'applications', 'many', 'aspects', 'of', 'experimentally', 'observed', 'sensor', 'response', 's', 'are', 'unexplained', 'within', 'consistent', 'theoretical', 'frameworks', 'of', 'kinetic', 'response', 'or', 'electrical', 'screening', 'in', 'this', 'paper', 'we', 'combine', 'analytic', 'solutions', 'of', 'poissonboltzmann', 'and', 'reactiondiffusion', 'equations', 'to', 'show', 'that', 'the', 'electrical', 'response', 'of', 'nanobiosensor', 'varies', 'logarithmically', 'with', 'the', 'concentration', 'of', 'target', 'molecules', 'time', 'the', 'salt', 'concentration', 'and', 'inversely', 'with', 'the', 'fractal', 'dimension', 'of', 'sensor', 'surface', 'our', 'analysis', 'provides', 'a', 'coherent', 'theoretical', 'interpretation', 'of', 'wide', 'variety', 'of', 'puzzling', 'experimental', 'data', 'that', 'have', 'so', 'far', 'defied', 'intuitive', 'explanation']] | [-0.10100874768104404, 0.09869888915680348, -0.05463115124031901, 0.016975932776695117, -0.06466517705935985, -0.17296561126131565, 0.030619720740942283, 0.36103503324091435, -0.23766416382510214, -0.3225981445237994, 0.0353353208664339, -0.32465845830738543, -0.213466820390895, 0.2062815815862268, -0.04901573902228847, 0.10764967757277191, 0.05037829232402146, -0.013751507867127657, -0.0007510805851779878, -0.1639147476758808, 0.22508438114076854, 0.05155471888079774, 0.3275606084894389, 0.12506619468796998, 0.10571634725318291, -0.025078339744359256, -0.015557100004516542, 0.05554992349818349, -0.14764180501530064, 0.1638868050929159, 0.3160976035613567, 0.0783683171053417, 0.24285436863079668, -0.48158314552158116, -0.2838835897948593, 0.043191227724964844, 0.14847110325965332, 0.10753055116161704, -0.12428488013334572, -0.23926456388086081, 0.04443463489646092, -0.12544326301664113, -0.14942289050202817, -0.13090069829486312, 0.07650044103269465, 0.07842677785083652, -0.203270685877651, 0.12628860991215332, -0.01695695552043617, 0.11697415929287672, -0.12303270168136805, -0.15131148183718324, 0.005460140246432274, 0.07895337770343758, 0.07799144527758471, -0.0035270437900908292, 0.20966611845418812, -0.1505154117872007, -0.08432520487811417, 0.34425892821978776, -0.04720453873276711, -0.13759658318944276, 0.2460982794337906, -0.15986004698090256, -0.10782437518937513, 0.1733894503582269, 0.1598957565939054, 0.0975937099289149, -0.19825605841353536, 0.08120316789310891, -0.01647058389149606, 0.19594482690095902, 0.05162263032281771, 0.09438876891508699, 0.20541344506666065, 0.25423066260293126, 0.0231431940960465, 0.09491713251918554, -0.08013875893782824, -0.07648447389248758, -0.2592870025709271, -0.12773398240969983, -0.1778219313453883, 0.053457375029101965, -0.08577077987094527, -0.20013698739930988, 0.3967570191435516, 0.18769136428833008, 0.181919015601743, 0.008073984982911498, 0.26795269092544916, 0.045430921852821486, 0.06415084471227601, -0.046606829427182674, 0.2247255838708952, 0.144751006483566, 0.13432407050393522, -0.2550063532299828, 0.12050051764119417, -0.050156202223151924] |
712.0199 | Magnetism in pre-MS intermediate-mass stars and the fossil field
hypothesis | Today, one of the greatest challenges concerning the Ap/Bp stars is to
understand the origin of their slow rotation and their magnetic fields. The
favoured hypothesis for the latter is the fossil field, which implies that the
magnetic fields subsist throughout the different evolutionary phases, and in
particular during the pre-main sequence phase. The existence of magnetic fields
at the pre-main sequence phase is also required to explain the slow rotation of
Ap/Bp stars. However, until recently, essentially no information was available
about the magnetic properties of intermediate-mass pre-main sequence stars, the
so-called Herbig Ae/Be stars. The new high-resolution spectropolarimeter
ESPaDOnS, installed in 2005 at the Canada-France-Hawaii telescope, provided the
capability necessary to perform surveys of the Herbig Ae/Be stars in order to
investigate their magnetism and rotation. These investigations have resulted in
the detection and/or confirmation of magnetic fields in 8 Herbig Ae/Be stars,
ranging in mass from 2 to nearly 15 solar masses. In this contribution I will
present the results of our survey, as well as their implications for the origin
and evolution of the magnetic fields and rotation.
| astro-ph | today one of the greatest challenges concerning the apbp stars is to understand the origin of their slow rotation and their magnetic fields the favoured hypothesis for the latter is the fossil field which implies that the magnetic fields subsist throughout the different evolutionary phases and in particular during the premain sequence phase the existence of magnetic fields at the premain sequence phase is also required to explain the slow rotation of apbp stars however until recently essentially no information was available about the magnetic properties of intermediatemass premain sequence stars the socalled herbig aebe stars the new highresolution spectropolarimeter espadons installed in 2005 at the canadafrancehawaii telescope provided the capability necessary to perform surveys of the herbig aebe stars in order to investigate their magnetism and rotation these investigations have resulted in the detection andor confirmation of magnetic fields in 8 herbig aebe stars ranging in mass from 2 to nearly 15 solar masses in this contribution i will present the results of our survey as well as their implications for the origin and evolution of the magnetic fields and rotation | [['today', 'one', 'of', 'the', 'greatest', 'challenges', 'concerning', 'the', 'apbp', 'stars', 'is', 'to', 'understand', 'the', 'origin', 'of', 'their', 'slow', 'rotation', 'and', 'their', 'magnetic', 'fields', 'the', 'favoured', 'hypothesis', 'for', 'the', 'latter', 'is', 'the', 'fossil', 'field', 'which', 'implies', 'that', 'the', 'magnetic', 'fields', 'subsist', 'throughout', 'the', 'different', 'evolutionary', 'phases', 'and', 'in', 'particular', 'during', 'the', 'premain', 'sequence', 'phase', 'the', 'existence', 'of', 'magnetic', 'fields', 'at', 'the', 'premain', 'sequence', 'phase', 'is', 'also', 'required', 'to', 'explain', 'the', 'slow', 'rotation', 'of', 'apbp', 'stars', 'however', 'until', 'recently', 'essentially', 'no', 'information', 'was', 'available', 'about', 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712.02 | 2MASS Galaxies in the Fornax Cluster Spectroscopic Survey | The Fornax Cluster Spectroscopic Survey (FCSS) is an all-object survey of a
region around the Fornax Cluster of galaxies undertaken using the 2dF
multi-object spectrograph on the Anglo-Australian Telescope. Its aim was to
obtain spectra for a complete sample of all objects with 16.5 < b_j < 19.7
irrespective of their morphology (i.e. including `stars', `galaxies' and
`merged' images). We explore the extent to which (nearby) cluster galaxies are
present in 2MASS. We consider the reasons for the omission of 2MASS galaxies
from the FCSS and vice versa. We consider the intersection (2.9 square degrees
on the sky) of our data set with the infra-red 2 Micron All-Sky Survey (2MASS),
using both the 2MASS Extended Source Catalogue (XSC) and the Point Source
Catalogue (PSC). We match all the XSC objects to FCSS counterparts by position
and also extract a sample of galaxies, selected by their FCSS redshifts, from
the PSC. We confirm that all 114 XSC objects in the overlap sample are
galaxies, on the basis of their FCSS velocities. A total of 23 Fornax Cluster
galaxies appear in the matched data, while, as expected, the remainder of the
sample lie at redshifts out to z = 0.2 (the spectra show that 61% are early
type galaxies, 18% are intermediate types and 21% are strongly star
forming).The PSC sample turns out to contain twice as many galaxies as does the
XSC. However, only one of these 225 galaxies is a (dwarf) cluster member. On
the other hand, galaxies which are unresolved in the 2MASS data (though almost
all are resolved in the optical) amount to 71% of the non-cluster galaxies with
2MASS detections and have redshifts out to z=0.32.
| astro-ph | the fornax cluster spectroscopic survey fcss is an allobject survey of a region around the fornax cluster of galaxies undertaken using the 2df multiobject spectrograph on the angloaustralian telescope its aim was to obtain spectra for a complete sample of all objects with 165 b_j 197 irrespective of their morphology ie including stars galaxies and merged images we explore the extent to which nearby cluster galaxies are present in 2mass we consider the reasons for the omission of 2mass galaxies from the fcss and vice versa we consider the intersection 29 square degrees on the sky of our data set with the infrared 2 micron allsky survey 2mass using both the 2mass extended source catalogue xsc and the point source catalogue psc we match all the xsc objects to fcss counterparts by position and also extract a sample of galaxies selected by their fcss redshifts from the psc we confirm that all 114 xsc objects in the overlap sample are galaxies on the basis of their fcss velocities a total of 23 fornax cluster galaxies appear in the matched data while as expected the remainder of the sample lie at redshifts out to z 02 the spectra show that 61 are early type galaxies 18 are intermediate types and 21 are strongly star formingthe psc sample turns out to contain twice as many galaxies as does the xsc however only one of these 225 galaxies is a dwarf cluster member on the other hand galaxies which are unresolved in the 2mass data though almost all are resolved in the optical amount to 71 of the noncluster galaxies with 2mass detections and have redshifts out to z032 | [['the', 'fornax', 'cluster', 'spectroscopic', 'survey', 'fcss', 'is', 'an', 'allobject', 'survey', 'of', 'a', 'region', 'around', 'the', 'fornax', 'cluster', 'of', 'galaxies', 'undertaken', 'using', 'the', '2df', 'multiobject', 'spectrograph', 'on', 'the', 'angloaustralian', 'telescope', 'its', 'aim', 'was', 'to', 'obtain', 'spectra', 'for', 'a', 'complete', 'sample', 'of', 'all', 'objects', 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'to', 'z032']] | [-0.039789437950269256, 0.028434574675891142, -0.08249895743699405, 0.07029944189983917, -0.13834956471543133, -0.02461553289088502, 0.09166520648639323, 0.4521314339154828, -0.12181799329671139, -0.3608671808972221, 0.10219045365900549, -0.38002424010748626, -0.006075345852453071, 0.1883968548083603, -0.022555784625362393, -0.05564446025124384, 0.06876303342232196, -0.06281142202749794, -0.019148603405031873, -0.3536945945319013, 0.29771404676003393, 0.0375835156836377, 0.1910796341950237, -0.13788648193657915, 0.08168701988468151, -0.08204089977139485, -0.16125609694782944, -0.028042823520665783, -0.1468820418293327, 0.0072688907342385095, 0.26617095894248216, 0.12140727042896932, 0.21162939216069754, -0.2512228761837182, -0.12829792432072334, 0.07231669700500576, 0.206423692431566, 0.04526769223004362, -0.04026788114366142, -0.31238943963977817, 0.13420711000714228, -0.13873371025746015, -0.15563911497490956, 0.05652914528163952, 0.03274932125605384, 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0.010940116449961537, 0.15467061989611, 0.0991357935012155, 0.3095141913738428, 0.12928168613286892, 0.05992039170347317, -0.17437427269675546, -0.016555419640596886, 0.0022855776321333257] |
712.0201 | Some finiteness results for Fourier-Mukai partners | We develop some methods for studying the Fourier-Mukai partners of an
algebraic variety. As applications we prove that abelian varieties have
finitely many Fourier-Mukai partners and that they are uniquely determined by
their derived category of coherent $D$-modules. We also generalize a famous
theorem due to A. Bondal and D. Orlov.
| math.AG math.CT | we develop some methods for studying the fouriermukai partners of an algebraic variety as applications we prove that abelian varieties have finitely many fouriermukai partners and that they are uniquely determined by their derived category of coherent dmodules we also generalize a famous theorem due to a bondal and d orlov | [['we', 'develop', 'some', 'methods', 'for', 'studying', 'the', 'fouriermukai', 'partners', 'of', 'an', 'algebraic', 'variety', 'as', 'applications', 'we', 'prove', 'that', 'abelian', 'varieties', 'have', 'finitely', 'many', 'fouriermukai', 'partners', 'and', 'that', 'they', 'are', 'uniquely', 'determined', 'by', 'their', 'derived', 'category', 'of', 'coherent', 'dmodules', 'we', 'also', 'generalize', 'a', 'famous', 'theorem', 'due', 'to', 'a', 'bondal', 'and', 'd', 'orlov']] | [-0.12430586775436121, 0.07286811955803868, -0.15489601205084838, 0.17834090708079292, -0.10588040495035696, -0.2121570437744844, -0.011730744594744607, 0.3673065551647953, -0.3826509384694053, -0.22104534742367618, 0.10009933538807958, -0.20158636299710647, -0.198551225119873, 0.2639414212282966, -0.21163175891463956, -0.021035196971805656, 0.05993716731466645, 0.04482855131922692, -0.03811443525631273, -0.3150430710566248, 0.4256370464230285, -0.09895893241114476, 0.2523217653015665, 0.13459136278149397, 0.10384489293666739, 0.039555315183950404, -0.03296045176502244, -0.06943487518412225, -0.13416651298443777, 0.1820229249549847, 0.35237951437924425, 0.10562809963948001, 0.17860803963369964, -0.37152156321441426, -0.11462723403511678, 0.2369936555441396, 0.13740483226822964, 0.09622179583518528, -0.06236882351211035, -0.3341476596051864, 0.14918697850468257, -0.2156909786109977, -0.18275617991628892, -0.16929095266980357, 0.08231241447741494, 0.07081606424431883, -0.1818986630898115, -0.07251831670987931, 0.10083771668666718, 0.13770115052295082, -0.04244996708653429, -0.10749515680842758, -0.08217565893816452, 0.07064190091492206, 0.05006852147041583, -0.003732403795070508, 0.12781155685547227, -0.12956809250674411, -0.1888615575929483, 0.34012441705985397, -0.04707821367271975, -0.2188568254265085, 0.2010823428840833, -0.06779947295310158, -0.15734906766709744, 0.09854222770195965, 0.0404552218741646, 0.1866752213944553, -0.0393329433841156, 0.1748508869410109, -0.16893703240316874, 0.02156266453219395, 0.15115977519684853, 0.05334024352258911, 0.11809176884080265, 0.023865457861592956, -0.022028374865733308, 0.09413625583892651, 0.02171326841355539, -0.030745445065857732, -0.31208904208067584, -0.17346172074915148, -0.10450443382575816, 0.14359181235526122, -0.009284481506077937, -0.10794748654406444, 0.3875742262119756, 0.06658675045907206, 0.16845366451889277, 0.1428622782924304, 0.20766162179757422, 0.056496023143386, 0.01345630566242571, 0.008094457909464836, 0.1659238020023194, 0.2856158972854781, -0.015337151310899678, -0.08941865164567442, -0.04273835877321806, 0.19039507356344484] |
712.0202 | Vector bundles with Theta divisors I: Bundles on Castelnuovo curves | In this paper we show that semistable vector bundles on a Castelnuovo curve
of genus g >= 2 have theta divisors. As a corollary, we deduce that semistable
vector bundles on a smooth, general curve of genus g >= 2 which extend to
semistable vector bundles on any Castelnuovo degeneration of the general curve
admit a theta divisor.
| math.AG | in this paper we show that semistable vector bundles on a castelnuovo curve of genus g 2 have theta divisors as a corollary we deduce that semistable vector bundles on a smooth general curve of genus g 2 which extend to semistable vector bundles on any castelnuovo degeneration of the general curve admit a theta divisor | [['in', 'this', 'paper', 'we', 'show', 'that', 'semistable', 'vector', 'bundles', 'on', 'a', 'castelnuovo', 'curve', 'of', 'genus', 'g', '2', 'have', 'theta', 'divisors', 'as', 'a', 'corollary', 'we', 'deduce', 'that', 'semistable', 'vector', 'bundles', 'on', 'a', 'smooth', 'general', 'curve', 'of', 'genus', 'g', '2', 'which', 'extend', 'to', 'semistable', 'vector', 'bundles', 'on', 'any', 'castelnuovo', 'degeneration', 'of', 'the', 'general', 'curve', 'admit', 'a', 'theta', 'divisor']] | [-0.26903911044688095, 0.04643378147427159, -0.18069714241261994, 0.04754214410162864, -0.17546501496274555, -0.22648449464967207, 0.021854203641331487, 0.34297919722406994, -0.295951272394242, -0.12736745823972992, 0.09359303262109668, -0.2008107895962894, -0.20183575686366698, 0.23842222143762878, -0.2443508619243013, -0.010515563722167696, 0.07869365194346756, 0.13290870898137136, -0.09337078647929177, -0.3526695691315191, 0.5123960455613477, -0.17469419182244955, 0.20916335006976233, 0.09402894120596882, 0.12475708534475416, 0.05962494440609589, 0.0991712596733123, -0.07492398871441505, -0.16595894921634421, 0.15207952839721525, 0.3613936225218432, 0.05625724420782977, 0.13202816673687526, -0.32323523850313257, -0.22822377737611532, 0.315691327676177, 0.09547773542414818, -0.08313553448741524, 0.03923089569382553, -0.1505837248239134, 0.09281643825982298, -0.09246820507438056, -0.24392175218755646, -0.12336626070152436, 0.11277270124160818, 0.021899232807170068, -0.20018932925138092, -0.07211207779723086, 0.11684555234387517, 0.21889614360406995, -0.027301309746690094, -0.15110615134887798, -0.17083708145323076, -0.08799422389295485, 0.041876165329345634, 0.17411359708057716, 0.04482332634506747, -0.1493171164391762, -0.09858892241027206, 0.31182413208963616, -0.18415676216994012, -0.2338310268241912, 0.02119822321193559, -0.13532067772134074, -0.15011600657765353, 0.17253311736775295, 0.1823334990351993, 0.29795340654839364, 0.14125215458417578, 0.16133312560019217, -0.18836307179714953, 0.08929057502453881, 0.10402760373628032, -0.13815211475386086, 0.1408464822015958, 0.05833758691525353, 0.05067887455308145, 0.08073515544778534, -0.05141782258786926, 0.04592998152449062, -0.4451789613813162, -0.28131921659223735, -0.0413110399053299, 0.27947068703360856, -0.15270932471113546, -0.17821575013970556, 0.46259577512475, 0.02414818635276918, 0.2770545523214553, 0.24646540959240934, 0.19912722695153207, 0.023756533486968174, 0.019841184590144882, 0.05061636120080948, 0.17417353944620118, 0.22924855273283487, -0.10117975234087291, -0.033540585182241296, -0.06429816864796781, 0.23611409983797266] |
712.0203 | Some Nonlinear Equations with Double Solutions: Soliton and Chaos | The fundamental characteristics of soliton and chaos in nonlinear equation
are completely different. But all nonlinear equations with a soliton solution
may derive chaos. While only some equations with a chaos solution have a
soliton. The conditions of the two solutions are different. When some
parameters are certain constants, the soliton is derived; while these
parameters vary in a certain region, the bifurcation-chaos appears. It connects
a chaotic control probably. The double solutions correspond possibly to the
wave-particle duality in quantum theory, and connect the double solution theory
of the nonlinear wave mechanics. Some nonlinear equations possess soliton and
chaos, whose new meanings are discussed briefly in mathematics, physics and
particle theory.
| math.GM math-ph math.MP | the fundamental characteristics of soliton and chaos in nonlinear equation are completely different but all nonlinear equations with a soliton solution may derive chaos while only some equations with a chaos solution have a soliton the conditions of the two solutions are different when some parameters are certain constants the soliton is derived while these parameters vary in a certain region the bifurcationchaos appears it connects a chaotic control probably the double solutions correspond possibly to the waveparticle duality in quantum theory and connect the double solution theory of the nonlinear wave mechanics some nonlinear equations possess soliton and chaos whose new meanings are discussed briefly in mathematics physics and particle theory | [['the', 'fundamental', 'characteristics', 'of', 'soliton', 'and', 'chaos', 'in', 'nonlinear', 'equation', 'are', 'completely', 'different', 'but', 'all', 'nonlinear', 'equations', 'with', 'a', 'soliton', 'solution', 'may', 'derive', 'chaos', 'while', 'only', 'some', 'equations', 'with', 'a', 'chaos', 'solution', 'have', 'a', 'soliton', 'the', 'conditions', 'of', 'the', 'two', 'solutions', 'are', 'different', 'when', 'some', 'parameters', 'are', 'certain', 'constants', 'the', 'soliton', 'is', 'derived', 'while', 'these', 'parameters', 'vary', 'in', 'a', 'certain', 'region', 'the', 'bifurcationchaos', 'appears', 'it', 'connects', 'a', 'chaotic', 'control', 'probably', 'the', 'double', 'solutions', 'correspond', 'possibly', 'to', 'the', 'waveparticle', 'duality', 'in', 'quantum', 'theory', 'and', 'connect', 'the', 'double', 'solution', 'theory', 'of', 'the', 'nonlinear', 'wave', 'mechanics', 'some', 'nonlinear', 'equations', 'possess', 'soliton', 'and', 'chaos', 'whose', 'new', 'meanings', 'are', 'discussed', 'briefly', 'in', 'mathematics', 'physics', 'and', 'particle', 'theory']] | [-0.17332056536641274, 0.15095561804870763, -0.12740072456968798, 0.10268919243422749, -0.09500301386196133, -0.1993481572255962, -0.04888486540414863, 0.28149339073413127, -0.3119326487565329, -0.2219466900396337, 0.1417697072092041, -0.27440611500846773, -0.2143069756561303, 0.20903892486947714, -0.010908861923805514, 0.07807013499844181, 0.02539107542661195, 0.06608085651454088, -0.0713394939026854, -0.19250617332353787, 0.3297886924549669, -0.047082507199406425, 0.24626021645124163, 0.00555685001450616, 0.12041351300253121, -0.09082197970165326, 0.0008535299634745529, -0.011927181162644882, -0.1755442627714024, 0.06679615173656661, 0.25870691711368327, 0.08450745078441393, 0.2633376785025403, -0.4428329094908796, -0.24971112780071594, 0.042945242172258126, 0.13841866456739907, 0.167800212618769, -0.046023203177495045, -0.2925943027865058, 0.033526507416018494, -0.10671451575382873, -0.20788329780974366, -0.05339023999008245, -0.0004405866771399438, 0.11663384085651152, -0.19637139639943033, 0.08958760437740197, 0.05644186596629453, -0.007725061822539984, -0.09193529217264841, -0.03610393049212189, -0.030520478569743065, 0.05683301999113052, 0.04761717845224314, -0.03579865725341815, 0.06459898038070884, -0.17871969086243897, -0.11477335109501272, 0.38879215527695044, -0.03004309536704609, -0.269974752874659, 0.20744648734149565, -0.13673184305295213, -0.09877743969277085, 0.14499112331887354, 0.11278941582989048, 0.11861837629086196, -0.1580980396479513, 0.11897911546491757, -0.03968777430339754, 0.13963471095891553, 0.14277930671835806, 0.10379684069571463, 0.2188537218146496, 0.09586946053119998, 0.04983812928627673, 0.07635947967552252, 0.029462251159874303, -0.22805674147985136, -0.33765536696893406, -0.09977300521741445, -0.08310094413762861, 0.03687979249104853, -0.1361520337606864, -0.1971451186046407, 0.4022709831830349, 0.10082490029556022, 0.16455770282259397, -0.014327083023155931, 0.19068964609356076, 0.21987278398696905, 0.00894125683551973, 0.05621595002358427, 0.28945806965641974, 0.2041261251701193, 0.1333452374590477, -0.21335791481600083, 0.002228875740993399, 0.10661304063952386] |
712.0204 | FDTD Simulation of Thermal Noise in Open Cavities | A numerical model based on the finite-difference time-domain (FDTD) method is
developed to simulate thermal noise in open cavities owing to output coupling.
The absorbing boundary of the FDTD grid is treated as a blackbody, whose
thermal radiation penetrates the cavity in the grid. The calculated amount of
thermal noise in a one-dimensional dielectric cavity recovers the standard
result of the quantum Langevin equation in the Markovian regime. Our FDTD
simulation also demonstrates that in the non-Markovian regime the buildup of
the intracavity noise field depends on the ratio of the cavity photon lifetime
to the coherence time of thermal radiation. The advantage of our numerical
method is that the thermal noise is introduced in the time domain without prior
knowledge of cavity modes.
| physics.optics physics.gen-ph | a numerical model based on the finitedifference timedomain fdtd method is developed to simulate thermal noise in open cavities owing to output coupling the absorbing boundary of the fdtd grid is treated as a blackbody whose thermal radiation penetrates the cavity in the grid the calculated amount of thermal noise in a onedimensional dielectric cavity recovers the standard result of the quantum langevin equation in the markovian regime our fdtd simulation also demonstrates that in the nonmarkovian regime the buildup of the intracavity noise field depends on the ratio of the cavity photon lifetime to the coherence time of thermal radiation the advantage of our numerical method is that the thermal noise is introduced in the time domain without prior knowledge of cavity modes | [['a', 'numerical', 'model', 'based', 'on', 'the', 'finitedifference', 'timedomain', 'fdtd', 'method', 'is', 'developed', 'to', 'simulate', 'thermal', 'noise', 'in', 'open', 'cavities', 'owing', 'to', 'output', 'coupling', 'the', 'absorbing', 'boundary', 'of', 'the', 'fdtd', 'grid', 'is', 'treated', 'as', 'a', 'blackbody', 'whose', 'thermal', 'radiation', 'penetrates', 'the', 'cavity', 'in', 'the', 'grid', 'the', 'calculated', 'amount', 'of', 'thermal', 'noise', 'in', 'a', 'onedimensional', 'dielectric', 'cavity', 'recovers', 'the', 'standard', 'result', 'of', 'the', 'quantum', 'langevin', 'equation', 'in', 'the', 'markovian', 'regime', 'our', 'fdtd', 'simulation', 'also', 'demonstrates', 'that', 'in', 'the', 'nonmarkovian', 'regime', 'the', 'buildup', 'of', 'the', 'intracavity', 'noise', 'field', 'depends', 'on', 'the', 'ratio', 'of', 'the', 'cavity', 'photon', 'lifetime', 'to', 'the', 'coherence', 'time', 'of', 'thermal', 'radiation', 'the', 'advantage', 'of', 'our', 'numerical', 'method', 'is', 'that', 'the', 'thermal', 'noise', 'is', 'introduced', 'in', 'the', 'time', 'domain', 'without', 'prior', 'knowledge', 'of', 'cavity', 'modes']] | [-0.12405204364744525, 0.12450687731465986, -0.10443087663471458, -0.022178143885309597, -0.03409970653123192, -0.09671128045902738, 0.026052721016552118, 0.3853994753632334, -0.235533676290464, -0.27670861354835646, 0.04508305880834439, -0.24044499120434687, -0.054567966476878935, 0.23034818053166684, -0.03862564750165949, 0.06879717080418261, 0.048610303716193286, -0.026203470574992317, 0.015792506375169803, -0.1775011855286486, 0.28253693360414717, 0.09372767176941008, 0.2994538874125048, 0.047355846351673524, 0.10465837197919045, -0.058814606531673384, -0.024093294981867075, -0.01653830054771876, -0.07839726442867803, 0.0071723292424013055, 0.19737931910616857, -0.013832962286898927, 0.28598382788890553, -0.4750248520605026, -0.2843672907610814, 0.057690018829288744, 0.126883722586377, 0.14332723850196588, -0.03521338226405093, -0.2797252110941636, -0.010185014897762168, -0.12437963389769016, -0.13252912443732062, -0.01206781866119033, -0.04476895866889296, -0.016434271414313587, -0.27610677779622134, 0.10032257912168843, 0.06916706728741466, -0.014075103211472461, -0.047628326979916424, -0.03736008446843874, 0.002616079858384065, 0.06971471755945634, -0.02248272758762112, -0.0046410093219169685, 0.19418577112317567, -0.11803459557854841, -0.07558206194305732, 0.37031034453050987, -0.138142000943903, -0.21349629921127006, 0.14229723043935072, -0.1813211886272315, 0.010968014030837483, 0.20605468740236135, 0.1285724105320931, 0.09414785623835821, -0.14376313753441097, 0.09205871969912081, 0.011415642612020395, 0.23841855704719614, 0.0627193330569313, 0.05809978020918225, 0.14660576592770316, 0.22011471317044548, -0.02458382016348262, 0.22548160347486695, -0.11081750406822632, -0.13445419545807394, -0.29093697815833075, -0.12979321973398328, -0.27119066140280224, 0.04833443301932646, -0.14399511637091036, -0.2168860573006133, 0.39754684979186183, 0.21248821925462014, 0.07991792105378644, 0.03527211038125379, 0.40697194439651924, 0.1667611340742423, 0.03301315302509935, 0.07155439018219288, 0.2841719790707312, 0.1988253189070571, 0.13565891192692722, -0.381489297082167, -0.0091734821288546, 0.01621633372081804] |
712.0205 | The virial equation of state for unitary fermion thermodynamics with
non-Gaussian correlations | We study the roles of the dynamical high order perturbation and statistically
non-linear infrared fluctuation/correlation in the virial equation of state for
the Fermi gas in the unitary limit. Incorporating the quantum level crossing
rearrangement effects, the spontaneously generated entropy departing from the
mean-field theory formalism leads to concise thermodynamical expressions. The
dimensionless virial coefficients with complex non-local correlations are
calculated up to the fourth order for the first time. The virial coefficients
of unitary Fermi gas are found to be proportional to those of the ideal quantum
gas with integer ratios through a general term formula. Counterintuitively,
contrary to those of the ideal bosons ($a^{(0)}_2=-\frac{1}{4 \sqrt{2}}$) or
fermions($a^{(0)}_2=\frac{1}{4 \sqrt{2}}$), the second virial coefficient $a_2$
of Fermi gas at unitarity is found to be equal to zero. With the vanishing
leading order quantum correction, the BCS-BEC crossover thermodynamics
manifests the famous pure classical Boyle's law in the Boltzmann regime. The
non-Gaussian correlation phenomena can be validated by studying the
Joule-Thomson effect.
| cond-mat.stat-mech cond-mat.quant-gas hep-ph nucl-th quant-ph | we study the roles of the dynamical high order perturbation and statistically nonlinear infrared fluctuationcorrelation in the virial equation of state for the fermi gas in the unitary limit incorporating the quantum level crossing rearrangement effects the spontaneously generated entropy departing from the meanfield theory formalism leads to concise thermodynamical expressions the dimensionless virial coefficients with complex nonlocal correlations are calculated up to the fourth order for the first time the virial coefficients of unitary fermi gas are found to be proportional to those of the ideal quantum gas with integer ratios through a general term formula counterintuitively contrary to those of the ideal bosons a0_2frac14 sqrt2 or fermionsa0_2frac14 sqrt2 the second virial coefficient a_2 of fermi gas at unitarity is found to be equal to zero with the vanishing leading order quantum correction the bcsbec crossover thermodynamics manifests the famous pure classical boyles law in the boltzmann regime the nongaussian correlation phenomena can be validated by studying the joulethomson effect | [['we', 'study', 'the', 'roles', 'of', 'the', 'dynamical', 'high', 'order', 'perturbation', 'and', 'statistically', 'nonlinear', 'infrared', 'fluctuationcorrelation', 'in', 'the', 'virial', 'equation', 'of', 'state', 'for', 'the', 'fermi', 'gas', 'in', 'the', 'unitary', 'limit', 'incorporating', 'the', 'quantum', 'level', 'crossing', 'rearrangement', 'effects', 'the', 'spontaneously', 'generated', 'entropy', 'departing', 'from', 'the', 'meanfield', 'theory', 'formalism', 'leads', 'to', 'concise', 'thermodynamical', 'expressions', 'the', 'dimensionless', 'virial', 'coefficients', 'with', 'complex', 'nonlocal', 'correlations', 'are', 'calculated', 'up', 'to', 'the', 'fourth', 'order', 'for', 'the', 'first', 'time', 'the', 'virial', 'coefficients', 'of', 'unitary', 'fermi', 'gas', 'are', 'found', 'to', 'be', 'proportional', 'to', 'those', 'of', 'the', 'ideal', 'quantum', 'gas', 'with', 'integer', 'ratios', 'through', 'a', 'general', 'term', 'formula', 'counterintuitively', 'contrary', 'to', 'those', 'of', 'the', 'ideal', 'bosons', 'a0_2frac14', 'sqrt2', 'or', 'fermionsa0_2frac14', 'sqrt2', 'the', 'second', 'virial', 'coefficient', 'a_2', 'of', 'fermi', 'gas', 'at', 'unitarity', 'is', 'found', 'to', 'be', 'equal', 'to', 'zero', 'with', 'the', 'vanishing', 'leading', 'order', 'quantum', 'correction', 'the', 'bcsbec', 'crossover', 'thermodynamics', 'manifests', 'the', 'famous', 'pure', 'classical', 'boyles', 'law', 'in', 'the', 'boltzmann', 'regime', 'the', 'nongaussian', 'correlation', 'phenomena', 'can', 'be', 'validated', 'by', 'studying', 'the', 'joulethomson', 'effect']] | [-0.13080691642116216, 0.1935790139279744, -0.10131489874541748, 0.0811624841738211, -0.028258541319958586, -0.1458780070709697, 0.026478616663535952, 0.23132789130879086, -0.2697903426282061, -0.2400331093209251, 0.024656151642484015, -0.34787796935324306, -0.08303016612932976, 0.14442711537879593, 0.04997487999674565, 0.0828233551345297, -0.04086864468789478, 0.028939928560746165, -0.12149706328252577, -0.2561903854234601, 0.3313452214406768, 0.061269342027305856, 0.25548118381005414, 0.06252123666458628, 0.06855048522728044, -0.042077779083486366, 0.012012214370587337, 0.012925087509430805, -0.16133225555736688, 0.04023202554668364, 0.23474260551398093, -0.059876827168741126, 0.2225775045669292, -0.39873086647628425, -0.17717714822534822, 0.074562549857575, 0.12498351685708659, 0.12471623332005392, 0.020894779416861717, -0.27539416272544637, 0.01230073767661486, -0.21428595332914976, -0.2118640953979496, -0.09278926258004687, 0.00018430003345762408, -0.026383636784359062, -0.2513558245835088, 0.21654628832958517, 0.05386162986272343, 0.018974836028339166, -0.04392014482093729, -0.08875882348452795, 0.0012107614410232822, 0.09407820286809133, 0.025918561257949134, 0.015610438232118287, 0.17551210021553268, -0.14910426433051718, -0.05913658576846158, 0.4365021362725013, -0.11077793724629911, -0.15697402472586008, 0.1606539954759368, -0.2278627759613003, -0.09281100284413628, 0.1440463205418731, 0.09019154212408283, 0.059996226149965914, -0.14859502211669987, 0.08734874809475662, -0.013313378572739286, 0.14100682522820415, 0.08088565601984847, 0.029169903053688294, 0.24110089761128872, 0.05483765088449344, 0.0088740507662062, 0.13817576185504338, -0.05566085438952787, -0.18354985250874697, -0.3089714979155446, -0.14727259154632227, -0.19913319822506242, 0.08345845013669452, -0.11713629134821943, -0.13669041829965659, 0.3134737364690071, 0.12008470402109443, 0.1892005883496981, 0.054697611703062955, 0.26424463346319377, 0.23158244657441504, 0.06379218665010196, 0.066922604772643, 0.26651044346358477, 0.18373176555805285, 0.06851558329291502, -0.29789484329298344, 0.03661880059879414, 0.1346839788082823] |
712.0206 | The limits of nested subclasses of several classes of infinitely
divisible distributions are identical with the closure of the class of stable
distributions | It is shown that the limits of the nested subclasses of five classes of
infinitely divisible distributions on $R^d$, which are the Jurek class, the
Goldie-Steutel-Bondesson class, the class of selfdecomposable distributions,
the Thorin class and the class of generalized type $G$ distributions, are
identical with the closure of the class of stable distributions. More general
results are also given.
| math.PR | it is shown that the limits of the nested subclasses of five classes of infinitely divisible distributions on rd which are the jurek class the goldiesteutelbondesson class the class of selfdecomposable distributions the thorin class and the class of generalized type g distributions are identical with the closure of the class of stable distributions more general results are also given | [['it', 'is', 'shown', 'that', 'the', 'limits', 'of', 'the', 'nested', 'subclasses', 'of', 'five', 'classes', 'of', 'infinitely', 'divisible', 'distributions', 'on', 'rd', 'which', 'are', 'the', 'jurek', 'class', 'the', 'goldiesteutelbondesson', 'class', 'the', 'class', 'of', 'selfdecomposable', 'distributions', 'the', 'thorin', 'class', 'and', 'the', 'class', 'of', 'generalized', 'type', 'g', 'distributions', 'are', 'identical', 'with', 'the', 'closure', 'of', 'the', 'class', 'of', 'stable', 'distributions', 'more', 'general', 'results', 'are', 'also', 'given']] | [-0.073733526317529, 0.1528769805474933, -0.03919663930595931, 0.09587030764077238, -0.05108754952453961, -0.10317293403007216, -0.05559221971622211, 0.3731898558720694, -0.2703170717962213, -0.2635501237207298, 0.07530773193496516, -0.2695277662221658, -0.10222871795738653, 0.24502960090541234, -0.04143511368182756, 0.05254964184773676, 0.043093704302811016, 0.04100494260378813, -0.08166171890936035, -0.27204540687597406, 0.4285729916419013, -0.07272981513899325, 0.28233626727172634, -0.05312787716955704, 0.0656589377292637, -0.056368865498679026, -0.04909745635370077, 0.05650487049656399, -0.14188079706896828, 0.15920791109250385, 0.2085487842244112, 0.10009267750211943, 0.2440118905535694, -0.25487694545191225, -0.19847256360354565, 0.22701513415234068, 0.03942336810563328, -0.008420670036052874, 0.007378138681445508, -0.26854193182188574, 0.10194896474101786, -0.19604379849476836, -0.16798676687718953, -0.03487258999592672, 0.08898328397012616, 0.15387327154561625, -0.29881240250700614, 0.0025230212629401773, 0.16814080998301506, -0.01608153506797754, -0.0348903587230055, -0.17649528088829464, -0.023759741067760073, 0.07906544023840609, 0.02822012300760943, -0.06869446679602488, 0.04290898492307228, -0.09819601487242065, -0.09315044898539782, 0.3443905741481458, -0.01467021640681936, -0.27382738200032103, 0.20176263164602598, -0.19792914442654888, -0.23640349882228648, 0.16787685319718162, 0.13602353776094772, 0.2252621614074303, -0.1467705136796428, 0.12272037976022841, -0.13585148320801682, 0.03555836211258577, 0.04334795808861569, 0.06753411771181056, 0.15518890183134856, 0.10462614520594983, 0.07132732867405324, 0.15809227603929654, -0.08650376232167295, -0.14748555800672306, -0.39582231779724864, -0.11961661786693385, -0.1462733351025667, 0.0497743136296838, -0.08028946666148594, -0.22030023720768532, 0.42231584257067384, 0.02036443432414178, 0.12547571376218633, 0.1727640377061631, 0.08321238343872256, 0.11944898629908339, 0.04063708268074413, 0.1055127336738347, 0.13421035613233256, 0.1394843237910625, -0.030830401777274023, -0.11524672289300016, 0.11135430191248907, 0.07108167786214312] |
712.0207 | Custodial bulk Randall-Sundrum model and B->K* l+ l'- | The custodial Randall-Sundrum model based on SU(2)_L X SU(2)_R X U(1)_(B-L)
generates new flavor-changing-neutral-current (FCNC) phenomena at tree level,
mediated by Kaluza-Klein neutral gauge bosons. Based on two natural assumptions
of universal 5D Yukawa couplings and no-cancellation in explaining the observed
standard model fermion mixing matrices, we determine the bulk Dirac mass
parameters. Phenomenological constraints from lepton-flavor-violations are also
used to specify the model. From the comprehensive study of B->K* l+ l'-, we
found that only the B->K*ee decay has sizable new physics effects. The zero
value position of the forward-backward asymmetry in this model is also
evaluated, with about 5% deviation from the SM result. Other effective
observables are also suggested such as the ratio of two differential (or
partially integrated) decay rates of B->K*ee and B->K*mu mu. For the first KK
gauge boson mass of M_A^(1)=2-4 TeV, we can have about 10-20% deviation from
the SM results.
| hep-ph | the custodial randallsundrum model based on su2_l x su2_r x u1_bl generates new flavorchangingneutralcurrent fcnc phenomena at tree level mediated by kaluzaklein neutral gauge bosons based on two natural assumptions of universal 5d yukawa couplings and nocancellation in explaining the observed standard model fermion mixing matrices we determine the bulk dirac mass parameters phenomenological constraints from leptonflavorviolations are also used to specify the model from the comprehensive study of bk l l we found that only the bkee decay has sizable new physics effects the zero value position of the forwardbackward asymmetry in this model is also evaluated with about 5 deviation from the sm result other effective observables are also suggested such as the ratio of two differential or partially integrated decay rates of bkee and bkmu mu for the first kk gauge boson mass of m_a124 tev we can have about 1020 deviation from the sm results | [['the', 'custodial', 'randallsundrum', 'model', 'based', 'on', 'su2_l', 'x', 'su2_r', 'x', 'u1_bl', 'generates', 'new', 'flavorchangingneutralcurrent', 'fcnc', 'phenomena', 'at', 'tree', 'level', 'mediated', 'by', 'kaluzaklein', 'neutral', 'gauge', 'bosons', 'based', 'on', 'two', 'natural', 'assumptions', 'of', 'universal', '5d', 'yukawa', 'couplings', 'and', 'nocancellation', 'in', 'explaining', 'the', 'observed', 'standard', 'model', 'fermion', 'mixing', 'matrices', 'we', 'determine', 'the', 'bulk', 'dirac', 'mass', 'parameters', 'phenomenological', 'constraints', 'from', 'leptonflavorviolations', 'are', 'also', 'used', 'to', 'specify', 'the', 'model', 'from', 'the', 'comprehensive', 'study', 'of', 'bk', 'l', 'l', 'we', 'found', 'that', 'only', 'the', 'bkee', 'decay', 'has', 'sizable', 'new', 'physics', 'effects', 'the', 'zero', 'value', 'position', 'of', 'the', 'forwardbackward', 'asymmetry', 'in', 'this', 'model', 'is', 'also', 'evaluated', 'with', 'about', '5', 'deviation', 'from', 'the', 'sm', 'result', 'other', 'effective', 'observables', 'are', 'also', 'suggested', 'such', 'as', 'the', 'ratio', 'of', 'two', 'differential', 'or', 'partially', 'integrated', 'decay', 'rates', 'of', 'bkee', 'and', 'bkmu', 'mu', 'for', 'the', 'first', 'kk', 'gauge', 'boson', 'mass', 'of', 'm_a124', 'tev', 'we', 'can', 'have', 'about', '1020', 'deviation', 'from', 'the', 'sm', 'results']] | [-0.09081069256403837, 0.22375886906420106, -0.026390129183258476, 0.16025259568002717, -0.09126627596109255, -0.1895089430156453, 0.04332767401195677, 0.3011549264064123, -0.2266868874751802, -0.3159648799465905, 0.00859318511833533, -0.2883110428710693, -0.049468600037025995, 0.11122862386902602, 0.045956452510415996, 0.05003681539172499, -0.0012738995908374159, 0.03594464343683473, -0.08802571390948162, -0.22361569379392113, 0.30081877357743936, 6.187896822290174e-05, 0.23389017516747118, 0.07208898729596544, 0.0892577215675907, -0.027628368537487655, -0.015896121711181155, -0.08405173639606299, -0.1388362983677733, 0.06704398221336305, 0.1342010985032238, 0.0602157282803593, 0.09675364779822271, -0.34404426056506304, -0.13820987200396584, 0.1222439454707863, 0.15334758042389976, 0.10311356135965165, -0.06615781778116421, -0.3334339131456639, 0.10474110805140487, -0.19538905206778698, -0.09728804835889103, -0.037991891273072564, -0.029959938352413732, -0.1194231755790654, -0.3440785243464955, 0.10648433460115359, -0.02391132396035667, 0.04720231081632062, 0.007817444328925218, -0.2250661351910696, -0.11857544771106593, 0.01066832272175314, 0.18379027299615072, 0.009494104904548169, 0.16995110241375092, -0.12814007713379147, -0.1633248507302126, 0.394761151537813, -0.1609192157228445, -0.19855539409507966, 0.1644712797895973, -0.1763617919468931, -0.17291775831836276, 0.131645388425938, 0.1984772496294744, 0.06729539625732035, -0.20114054061665104, 0.21836544423572848, -0.06937148782328285, 0.16715661542939728, 0.0358648557665533, 0.07133177307209577, 0.22668183905811146, 0.18141354046408728, 0.023276439953017338, 0.01729824030651422, -0.06668483505250308, -0.08736839331525924, -0.39989531636238096, -0.10801524930986865, -0.07953367012568974, 0.09746235683560371, -0.09908093365194308, -0.07051709088143604, 0.38337328146886207, 0.16757574419587337, 0.2517563516402553, 0.036882997700816086, 0.22842998270362871, 0.10151797057659333, 0.09674247234481675, 0.016084570967560184, 0.28317019298094614, 0.14518673964133808, 0.07808957802581376, -0.23391829134318334, 0.004134529554445682, 0.09867331416442476] |
712.0208 | Global monopole surrounded by quintessence-like matter | We present new static spherically-symmetric solutions of Einstein equations
with the quintessence-like matter surrounding a global monopole. These new
solutions of the coupling scalar-Einstein equations are more complicated, which
depend on the parameter of equation of state $-1 < w_{q} <-{1/3}$. A
gravitating global monopole produces a gravitational field of de Sitter kind
outside the core in addition to a solid angular deficit. In the $w_{q} =
-{1/3}$ case, we have proved that the solution cannot exist since the density
of quintessence-like tends to zero if $w_{q} \to -{1/3}$. As a new feature,
these monopoles have the outer horizon depending on both Goldstone field and
quintessence-like. Since current observations constrain $-1.14 < w_{q} <
-0.93$, new global monopoles have interesting astrophysical applications.
| gr-qc astro-ph hep-th | we present new static sphericallysymmetric solutions of einstein equations with the quintessencelike matter surrounding a global monopole these new solutions of the coupling scalareinstein equations are more complicated which depend on the parameter of equation of state 1 w_q 13 a gravitating global monopole produces a gravitational field of de sitter kind outside the core in addition to a solid angular deficit in the w_q 13 case we have proved that the solution cannot exist since the density of quintessencelike tends to zero if w_q to 13 as a new feature these monopoles have the outer horizon depending on both goldstone field and quintessencelike since current observations constrain 114 w_q 093 new global monopoles have interesting astrophysical applications | [['we', 'present', 'new', 'static', 'sphericallysymmetric', 'solutions', 'of', 'einstein', 'equations', 'with', 'the', 'quintessencelike', 'matter', 'surrounding', 'a', 'global', 'monopole', 'these', 'new', 'solutions', 'of', 'the', 'coupling', 'scalareinstein', 'equations', 'are', 'more', 'complicated', 'which', 'depend', 'on', 'the', 'parameter', 'of', 'equation', 'of', 'state', '1', 'w_q', '13', 'a', 'gravitating', 'global', 'monopole', 'produces', 'a', 'gravitational', 'field', 'of', 'de', 'sitter', 'kind', 'outside', 'the', 'core', 'in', 'addition', 'to', 'a', 'solid', 'angular', 'deficit', 'in', 'the', 'w_q', '13', 'case', 'we', 'have', 'proved', 'that', 'the', 'solution', 'can', 'not', 'exist', 'since', 'the', 'density', 'of', 'quintessencelike', 'tends', 'to', 'zero', 'if', 'w_q', 'to', '13', 'as', 'a', 'new', 'feature', 'these', 'monopoles', 'have', 'the', 'outer', 'horizon', 'depending', 'on', 'both', 'goldstone', 'field', 'and', 'quintessencelike', 'since', 'current', 'observations', 'constrain', '114', 'w_q', '093', 'new', 'global', 'monopoles', 'have', 'interesting', 'astrophysical', 'applications']] | [-0.16119779773083898, 0.14443973872904517, -0.09470382213060345, 0.08353874016897518, -0.14176450682287456, -0.13679819333390528, -0.029663980877840845, 0.24747395578051815, -0.17306170898231388, -0.3317081864860629, 0.10968714208193436, -0.27896493681150825, -0.07457962089038196, 0.14406987749619268, 0.00220862846477192, 0.01889082427066164, -0.013492560839797017, 0.07818270897289284, -0.09902548615012646, -0.21930200786979384, 0.3732906181772216, 0.014662100718270581, 0.22453432133374343, 0.007706584733668245, 0.1030111220633971, -0.06589530245205309, 0.019697666590829856, 0.046184716448813924, -0.18790443441391572, 0.013964696090762355, 0.19160309352544175, 0.11850407827614236, 0.2130421940706858, -0.4153181177665706, -0.2034388089849919, 0.154486233532867, 0.20238456587471507, 0.13150419985402, -0.08134824648451064, -0.31081900206597973, 0.0790377931301032, -0.19587694617974408, -0.17843789254323023, -0.07045467619729393, 0.06600943196881875, 0.022899112100673823, -0.2134501053795156, 0.11471649852557843, 0.030267741165256927, -0.03257489334322324, -0.17095399790780008, -0.1306985868101924, -0.06614016812928647, 0.046664188905548645, 0.09699381637864378, 0.05606682123929387, 0.12843365023037842, -0.17856111657461388, -0.059577497850297444, 0.34507433289834183, -0.1088798700424866, -0.21061751223756237, 0.17623346380325927, -0.16893293640670218, -0.12346636276582584, 0.1435332743670134, 0.13290582035331666, 0.14500498462530995, -0.09441769139512497, 0.1444818529710291, -0.03369114500716986, 0.19102194759370603, 0.11466170142663001, 0.017873749211274024, 0.3002539059507246, 0.09454772179993261, 0.09767424019284453, 0.07021040607149862, -0.084674476408654, -0.10926719758456119, -0.34771992385919603, -0.1517657438966156, -0.14114226223979176, 0.10276706107638232, -0.15022393497978356, -0.18810602664916204, 0.334820142054946, 0.10930411395922053, 0.1697614972143113, -0.027273191237908265, 0.20232394404959778, 0.09359700069175798, 0.03604702976289667, 0.10778089564199708, 0.35481494159962074, 0.10788153747816671, 0.17737717286707097, -0.21642111169375838, -0.06211484473261262, 0.04412772613499282] |
712.0209 | A closed-form solution in a dynamical system related to Bianchi IX | The Bianchi IX cosmological model in vacuum can be represented by several
six-dimensional dynamical systems. In one of them we present a new closed form
solution expressed by a third Painleve' function.
| nlin.SI nlin.CD | the bianchi ix cosmological model in vacuum can be represented by several sixdimensional dynamical systems in one of them we present a new closed form solution expressed by a third painleve function | [['the', 'bianchi', 'ix', 'cosmological', 'model', 'in', 'vacuum', 'can', 'be', 'represented', 'by', 'several', 'sixdimensional', 'dynamical', 'systems', 'in', 'one', 'of', 'them', 'we', 'present', 'a', 'new', 'closed', 'form', 'solution', 'expressed', 'by', 'a', 'third', 'painleve', 'function']] | [-0.20872470800532028, 0.024896339018596336, -0.036050672439159825, 0.082200521545019, -0.08115556970005855, -0.18861170004311134, -0.05885257406771416, 0.2838852715212852, -0.26840175574761815, -0.2526076165959239, 0.09161170939478325, -0.22455626929877326, -0.1642226148833288, 0.16686001377092907, -0.012710695460555144, 0.02020966145209968, -0.01554182297695661, 0.0216216545086354, -0.10671262309188023, -0.2785822253936203, 0.39596851138048805, -0.06561080226674676, 0.1375586286012549, -0.07684885591152124, 0.0999681450339267, -0.08168654549081111, 0.0061856898246333, 0.08372688890085556, -0.10892143863020465, 0.0808497057587374, 0.22709649447642732, 0.17662160498730373, 0.21104752126848325, -0.42233723495155573, -0.22463478732970543, 0.09416671136568766, 0.19632390557671897, 0.13268540182616562, -0.04740796331316233, -0.35282714338973165, 0.011796844599302858, -0.2617569214780815, -0.2188238697417546, -0.1200721753120888, -0.03126011457061395, 0.012348815289442427, -0.2306942258728668, 0.1244486717187101, -0.032793684445096005, 0.0054925189760979265, -0.09114218782633543, -0.050664415255596396, 0.012052059289999306, 0.06357593738357536, 0.02275445148916333, 0.003501302460790612, 0.056509915229980834, -0.14282016355082305, -0.11520413051766809, 0.43466799217276275, -0.17566498029555078, -0.26654916192637756, 0.031747103872476146, -0.10003631975996541, -0.15476033894810826, 0.11850676615722477, 0.10455972672207281, 0.16114045478752814, -0.26410214719362557, 0.15329698611458298, -0.01359174761455506, 0.14739547576755285, 0.07039495845674537, -0.037524591461988166, 0.299085630918853, 0.07978308346355334, -0.04091889239498414, 0.1530653629124572, 0.05848422050530644, -0.12160766712622717, -0.41690259927418083, -0.20255148014985025, -0.13420216986560263, 0.13882627140264958, -0.1550644637318328, -0.17631216248264536, 0.40257525062042987, 0.04538543881790247, 0.16920493509678636, -0.02319066407653736, 0.17993497755378485, 0.14021640171995386, 0.03553280359483324, 0.05144102603662759, 0.23958135655266233, 0.08776606600440573, 0.10506398318102583, -0.1873582674888894, -0.01974842463096138, 0.17872061052185018] |
712.021 | Quantum transport theory of anomalous electric, thermoelectric, and
thermal Hall effects in ferromagnets | The mechanism of the anomalous Hall transport phenomena, if it is of the
intrinsic or extrinsic origin, has been controversial. We present a unified
theory of them for ferromagnetic metals with dilute impurities at the zero
temperature, in terms of a quantum transport theory with the self-consistent
T-matrix approximation. With the Fermi energy E_F and the spin-orbit
interaction energy E_{SO} being fixed (E_F > E_{SO}), three regimes are found
as a function of the scattering rate \hbar/\tau. (i) In the superclean case
\hbar/\tau < u_{imp} E_{SO}D, the skew scattering from the vertex correction
dominates the anomalous Hall conductivity \sigma_{xy}, where u_{imp} is the
impurity potential strength and D is the density of states. With increasing
\hbar/\tau, this extrinsic skew-scattering contribution rapidly decays. (ii) In
the moderately dirty regime u_{imp}E_{SO}D < \hbar/\tau < E_{SO}, \sigma_{xy}
is dominated by the intrinsic dissipationless Berry-phase contribution, which
is resonantly enhanced to the order of e^2/\hbar when an accidental degeneracy
of band dispersions around the Fermi level is lifted by the spin-orbit
interaction. (iii) Further increasing \hbar/\tau, a
\sigma_{xy}\propto\sigma_{xx}^{1.6} scaling appears, which has been verified by
recent experiments. The themal and thermoelectric Hall conductivities are also
discussed.
| cond-mat.mes-hall cond-mat.str-el | the mechanism of the anomalous hall transport phenomena if it is of the intrinsic or extrinsic origin has been controversial we present a unified theory of them for ferromagnetic metals with dilute impurities at the zero temperature in terms of a quantum transport theory with the selfconsistent tmatrix approximation with the fermi energy e_f and the spinorbit interaction energy e_so being fixed e_f e_so three regimes are found as a function of the scattering rate hbartau i in the superclean case hbartau u_imp e_sod the skew scattering from the vertex correction dominates the anomalous hall conductivity sigma_xy where u_imp is the impurity potential strength and d is the density of states with increasing hbartau this extrinsic skewscattering contribution rapidly decays ii in the moderately dirty regime u_impe_sod hbartau e_so sigma_xy is dominated by the intrinsic dissipationless berryphase contribution which is resonantly enhanced to the order of e2hbar when an accidental degeneracy of band dispersions around the fermi level is lifted by the spinorbit interaction iii further increasing hbartau a sigma_xyproptosigma_xx16 scaling appears which has been verified by recent experiments the themal and thermoelectric hall conductivities are also discussed | [['the', 'mechanism', 'of', 'the', 'anomalous', 'hall', 'transport', 'phenomena', 'if', 'it', 'is', 'of', 'the', 'intrinsic', 'or', 'extrinsic', 'origin', 'has', 'been', 'controversial', 'we', 'present', 'a', 'unified', 'theory', 'of', 'them', 'for', 'ferromagnetic', 'metals', 'with', 'dilute', 'impurities', 'at', 'the', 'zero', 'temperature', 'in', 'terms', 'of', 'a', 'quantum', 'transport', 'theory', 'with', 'the', 'selfconsistent', 'tmatrix', 'approximation', 'with', 'the', 'fermi', 'energy', 'e_f', 'and', 'the', 'spinorbit', 'interaction', 'energy', 'e_so', 'being', 'fixed', 'e_f', 'e_so', 'three', 'regimes', 'are', 'found', 'as', 'a', 'function', 'of', 'the', 'scattering', 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'been', 'verified', 'by', 'recent', 'experiments', 'the', 'themal', 'and', 'thermoelectric', 'hall', 'conductivities', 'are', 'also', 'discussed']] | [-0.18381826784156385, 0.22399475838541488, -0.044504992350874864, 0.054665548628313174, -0.01914793851943127, -0.18543959815879582, 0.05677627093385131, 0.31173682161937644, -0.2922276100449142, -0.2541490189363427, -0.007537316202053729, -0.3665538322577467, -0.12570673327885384, 0.14285102419051357, 0.034455365002603155, 0.004765880965917814, -0.05228055216870754, -0.03526578619669044, -0.07647977127372975, -0.20303947286224858, 0.3200978011432323, 0.0503732404929886, 0.2895378626353754, 0.14201452947206428, 0.026476219229023556, 0.005695826727693361, 0.07707922821171083, 0.04283635091364811, -0.11721266249622234, 0.024820729905339924, 0.23350062973980532, -0.13894547673980476, 0.1961255266427831, -0.3898446682453807, -0.1920358041298825, 0.013970431548548363, 0.15693284981359876, 0.13817161674193956, -0.05347301311984332, 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712.0211 | Student Behavior and Epistemological Framing: Examples from
Collaborative Active-Learning Activities in Physics | Questions of participant understanding of the nature of an activity have been
addressed in anthropology and sociolinguistics with the concepts of frames and
framing. For example, a student may frame a learning activity as an opportunity
for sensemaking or as an assignment to fill out a worksheet. The student's
understanding of the nature of the activity affects what she notices, what
knowledge she accesses, and how she thinks to act. Previous analyses have found
evidence of framing primarily in linguistic markers associated with speech
acts. In this paper, we show that there is useful evidence of framing in easily
observed features of students' behavior. We apply this observational
methodology to explore dynamics among behavior, framing, and the conceptual
substance of student reasoning in the context of collaborative active-learning
activities in an introductory university physics course.
| physics.ed-ph | questions of participant understanding of the nature of an activity have been addressed in anthropology and sociolinguistics with the concepts of frames and framing for example a student may frame a learning activity as an opportunity for sensemaking or as an assignment to fill out a worksheet the students understanding of the nature of the activity affects what she notices what knowledge she accesses and how she thinks to act previous analyses have found evidence of framing primarily in linguistic markers associated with speech acts in this paper we show that there is useful evidence of framing in easily observed features of students behavior we apply this observational methodology to explore dynamics among behavior framing and the conceptual substance of student reasoning in the context of collaborative activelearning activities in an introductory university physics course | [['questions', 'of', 'participant', 'understanding', 'of', 'the', 'nature', 'of', 'an', 'activity', 'have', 'been', 'addressed', 'in', 'anthropology', 'and', 'sociolinguistics', 'with', 'the', 'concepts', 'of', 'frames', 'and', 'framing', 'for', 'example', 'a', 'student', 'may', 'frame', 'a', 'learning', 'activity', 'as', 'an', 'opportunity', 'for', 'sensemaking', 'or', 'as', 'an', 'assignment', 'to', 'fill', 'out', 'a', 'worksheet', 'the', 'students', 'understanding', 'of', 'the', 'nature', 'of', 'the', 'activity', 'affects', 'what', 'she', 'notices', 'what', 'knowledge', 'she', 'accesses', 'and', 'how', 'she', 'thinks', 'to', 'act', 'previous', 'analyses', 'have', 'found', 'evidence', 'of', 'framing', 'primarily', 'in', 'linguistic', 'markers', 'associated', 'with', 'speech', 'acts', 'in', 'this', 'paper', 'we', 'show', 'that', 'there', 'is', 'useful', 'evidence', 'of', 'framing', 'in', 'easily', 'observed', 'features', 'of', 'students', 'behavior', 'we', 'apply', 'this', 'observational', 'methodology', 'to', 'explore', 'dynamics', 'among', 'behavior', 'framing', 'and', 'the', 'conceptual', 'substance', 'of', 'student', 'reasoning', 'in', 'the', 'context', 'of', 'collaborative', 'activelearning', 'activities', 'in', 'an', 'introductory', 'university', 'physics', 'course']] | [-0.04590329180161158, 0.07614846061095941, -0.130057002522517, 0.10100849023588968, -0.1754663434293535, -0.13904860898921334, 0.07735875495407661, 0.3984978410932753, -0.250424384997125, -0.380453203869035, 0.045982112161194286, -0.2967742760148313, -0.21635613220536876, 0.15261319969711756, -0.14605688692794905, -0.04254967640671465, 0.05348921172251856, 0.07886689870997711, 0.0029116878234263922, -0.253387297069033, 0.29104475652867995, 0.11572181512084272, 0.27791206091685494, 0.04069583226961118, 0.05915284744394874, 0.0038871746165332973, -0.07982003813333534, -0.020341208342600753, -0.08817629654987724, 0.12060541095970957, 0.3862167189449624, 0.22684620257501525, 0.38286864133896653, -0.4309085232378156, -0.17769746947343704, 0.03993232791070585, 0.10637019269892739, 0.07101838912607895, -0.07057436382811931, -0.32036176115550374, 0.009645791170704696, -0.1603134394140431, -0.0970528202769519, -0.06469670571645515, 0.017702038644778508, -0.04401006771044599, -0.18266698423497102, -0.021406828384432527, 0.13255821951380414, 0.1850241444855109, -0.06642527549907014, -0.1018392901695161, 0.04199747837803982, 0.23611667560137534, 0.09586909533374839, 0.023512650008692786, 0.13835384195187578, -0.20883194404757685, -0.19580010728289685, 0.3862697717440487, -0.0029461193760788, -0.16479434011486807, 0.17677814820867585, -0.14276404579846982, -0.16565262596640323, 0.03695356485399383, 0.2257589044670264, 0.06580058414558018, -0.1676919544322623, 0.011736704938596597, -0.037487505031404675, 0.19661214504804875, 0.0331658269106238, -0.0031898411637586023, 0.2674168616429799, 0.1985186641001039, -0.02403552848500786, 0.08552069797835968, -0.02147076153067044, -0.07963732551369403, -0.26660958349152847, -0.2063262448404674, -0.11842903875642352, 0.05411320400803729, 0.029416773059940036, -0.10082869432452653, 0.4034265599799929, 0.20143956332036328, 0.15562984653990025, -0.02736016312027695, 0.2258620261732075, 0.021848518999845343, 0.056213155454369605, 0.05313672805894856, 0.19563409000014265, 0.043133152441846, 0.17421798721921664, -0.17972687697296755, 0.1409151740199714, -0.011366482302859098] |
712.0212 | The String Topology Loop Coproduct and Cohomology Operations | This note explores the interaction between cohomology operations in a
generalized cohomology theory and a string topology loop coproduct dual to the
Chas--Sullivan loop product. More precisely, we ask for a description for the
failure of a given operation to commute with the loop coproduct, and will
obtain a satisfactory answer in the case where the operation preserves both
sums and products. Examples of such operations include the total Steenrod
square in ordinary mod 2 cohomology and the Adams operations in K-theory.
| math.AT | this note explores the interaction between cohomology operations in a generalized cohomology theory and a string topology loop coproduct dual to the chassullivan loop product more precisely we ask for a description for the failure of a given operation to commute with the loop coproduct and will obtain a satisfactory answer in the case where the operation preserves both sums and products examples of such operations include the total steenrod square in ordinary mod 2 cohomology and the adams operations in ktheory | [['this', 'note', 'explores', 'the', 'interaction', 'between', 'cohomology', 'operations', 'in', 'a', 'generalized', 'cohomology', 'theory', 'and', 'a', 'string', 'topology', 'loop', 'coproduct', 'dual', 'to', 'the', 'chassullivan', 'loop', 'product', 'more', 'precisely', 'we', 'ask', 'for', 'a', 'description', 'for', 'the', 'failure', 'of', 'a', 'given', 'operation', 'to', 'commute', 'with', 'the', 'loop', 'coproduct', 'and', 'will', 'obtain', 'a', 'satisfactory', 'answer', 'in', 'the', 'case', 'where', 'the', 'operation', 'preserves', 'both', 'sums', 'and', 'products', 'examples', 'of', 'such', 'operations', 'include', 'the', 'total', 'steenrod', 'square', 'in', 'ordinary', 'mod', '2', 'cohomology', 'and', 'the', 'adams', 'operations', 'in', 'ktheory']] | [-0.21807144877427007, 0.09371654476925004, -0.07340749947172476, 0.11945619694633046, -0.05096017223464825, -0.13351048594454257, 0.04343533912736059, 0.31813768384319435, -0.3465816827502283, -0.2542453097383969, 0.11718031850916039, -0.2275323720496977, -0.19666093944503768, 0.1531457596503925, -0.18573623177277424, -0.027179365636917148, 0.08550258893973944, 0.14326205022814797, -0.12804385197417037, -0.2687205041690571, 0.35616556946301786, 0.04152187824720607, 0.20767268546425352, 0.041512621177655716, 0.08099187455685218, 0.04400355661878499, -0.05356985004050884, -0.04259277382729257, -0.11400676301748651, 0.12008716857270905, 0.30191198200421837, 0.061669359486209364, 0.17313277760020843, -0.4604870750591522, -0.0524834482362721, 0.1297850650039547, 0.09360616512187733, 0.009170697016709643, 0.03916922507707524, -0.21613468456638568, 0.06324613640630027, -0.2646062819786915, -0.06872688498484289, -0.1319262969489323, 0.06065826102091772, -0.022750439712914024, -0.26986630174626663, -0.04531548307390838, 0.07778169471407081, 0.08731475380453758, -0.051406480587746314, -0.03745481479776705, -0.030980840291282754, 0.13402829723001072, -0.04314454676960384, 0.034052691825597385, 0.1162736344480569, -0.12716523877901548, -0.19424178131015563, 0.3738484078018767, -0.02340979563787852, -0.20237076741347954, 0.08344634517277705, -0.19147606998136857, -0.2060227297337317, 0.07423247289048826, 0.021528595428141516, 0.1235477458004181, -0.024131351491300072, 0.16769231521672137, -0.03560478462860352, 0.08254632832789112, 0.11674591982964336, 0.035205625349701175, 0.1373491984587617, 0.08316708746843221, 0.10198443890094938, 0.15685029013264107, 0.01919331009181716, -0.10787199389916367, -0.3770583285268669, -0.22794498206775, -0.0803877510948152, 0.13326525320753274, -0.0716523384588782, -0.17799805262603047, 0.428032360607531, 0.0860001849033302, 0.17767388970454837, 0.1074409559667224, 0.3042155959211835, 0.06592121210926008, 0.09201176082942544, 0.057005523050930804, 0.12354801375157677, 0.22500301718075827, 0.04771372123916701, -0.13444261446243105, -0.06172296549647865, 0.23634345807907423] |
712.0213 | $^3_\eta He$ nucleus modeling in the frame optical potential model | The conditions, at which quasi-bound $\eta-^{3}$He state is possible, have
been investigated and compared with the available findings about
$\eta$N-scattering length and the information about $^{3}$He nucleus from
references. We conclud that the existence of quasi-bound $\eta-^{3}$He state
within the framework of the optical potential model, which doesn`t contradict
all collected findings, is not possible, but the observing anomaly of
$\eta^{3}$He-interaction at low energies is a virtual state.
| nucl-th | the conditions at which quasibound eta3he state is possible have been investigated and compared with the available findings about etanscattering length and the information about 3he nucleus from references we conclud that the existence of quasibound eta3he state within the framework of the optical potential model which doesnt contradict all collected findings is not possible but the observing anomaly of eta3heinteraction at low energies is a virtual state | [['the', 'conditions', 'at', 'which', 'quasibound', 'eta3he', 'state', 'is', 'possible', 'have', 'been', 'investigated', 'and', 'compared', 'with', 'the', 'available', 'findings', 'about', 'etanscattering', 'length', 'and', 'the', 'information', 'about', '3he', 'nucleus', 'from', 'references', 'we', 'conclud', 'that', 'the', 'existence', 'of', 'quasibound', 'eta3he', 'state', 'within', 'the', 'framework', 'of', 'the', 'optical', 'potential', 'model', 'which', 'doesnt', 'contradict', 'all', 'collected', 'findings', 'is', 'not', 'possible', 'but', 'the', 'observing', 'anomaly', 'of', 'eta3heinteraction', 'at', 'low', 'energies', 'is', 'a', 'virtual', 'state']] | [-0.0917094549128356, 0.14689326814304177, -0.10766678214556752, 0.06063209793422944, -0.037037256481842355, -0.1443027710613723, 0.09236408561611405, 0.35758877718248044, -0.1864843714194229, -0.31045065086621504, 0.08624490831190577, -0.33135117054558716, -0.05124426018446684, 0.15652621793560684, 0.03923565742846292, 0.031425210409081326, 0.06756028239973462, 0.11734308823943138, -0.0226205261836115, -0.1952534537189282, 0.3249726434883017, 0.08472557050677446, 0.2747763001288359, 0.15720912163121215, 0.084597816841247, -0.027753861570874085, 0.03458604185770337, -0.029824605125647326, -0.10938473948906624, 0.06864775516665898, 0.259989744080947, 0.10041841782557849, 0.2195580636795897, -0.4261332234224448, -0.21728626916614863, 0.062212457579488935, 0.1317128332475057, 0.1798032054068664, -0.015265027834818914, -0.32149532640782685, 0.08873185595640769, -0.159057875464742, -0.16534618915846713, -0.05099793123797729, 0.03992259829090192, -0.030040204652155247, -0.21404075958551122, 0.08017201248842937, -0.0007897466170386626, 0.0364547946705268, -0.16837357892654836, -0.174088549384704, -0.037562678052255744, 0.11330619306805043, 0.038314604947271826, 0.04346909007021727, 0.13181644519791008, -0.12967495385270852, -0.10840914054917028, 0.3461658735114794, -0.00785227082311534, -0.11556021605546658, 0.1899505326631837, -0.1621014646970882, -0.09045471619957915, 0.18013010722799944, 0.11552398136028877, 0.09029800753968839, -0.13882953281012866, 0.03144866393099969, -0.06758557397585649, 0.21147021372587635, 0.07093481502782267, 0.09035131660504983, 0.20198385698290972, 0.16846724367485597, -0.022683158742550474, 0.0620225895769321, -0.108228340659004, -0.11698523264987251, -0.33855114258252655, -0.11698094443059885, -0.17806199425294136, 0.0262411704754833, 0.015172130528998632, -0.07438659465226989, 0.35601894885588153, 0.13969319679129583, 0.1923196399691873, -0.020791870452320345, 0.24829156991954032, 0.07069799312605307, 0.09470271913764569, 0.11207669855167086, 0.2842759223941427, 0.1052700726261649, 0.09785743030504539, -0.22245842152848266, 0.09702818943187594, -0.051749680219934535] |
712.0214 | Upper bound for isometric embeddings \ell_2^m\to\ell_p^n | The isometric embeddings $\ell_{2;K}^m\to\ell_{p;K}^n$ ($m\geq 2$, $p\in
2\N$) over a field $K\in{R, C, H}$ are considered, and an upper bound for the
minimal $n$ is proved. In the commutative case ($K\neq H$) the bound was
obtained by Delbaen, Jarchow and Pe{\l}czy{\'n}ski (1998) in a different way.
| math.FA | the isometric embeddings ell_2kmtoell_pkn mgeq 2 pin 2n over a field kinr c h are considered and an upper bound for the minimal n is proved in the commutative case kneq h the bound was obtained by delbaen jarchow and pelczynski 1998 in a different way | [['the', 'isometric', 'embeddings', 'ell_2kmtoell_pkn', 'mgeq', '2', 'pin', '2n', 'over', 'a', 'field', 'kinr', 'c', 'h', 'are', 'considered', 'and', 'an', 'upper', 'bound', 'for', 'the', 'minimal', 'n', 'is', 'proved', 'in', 'the', 'commutative', 'case', 'kneq', 'h', 'the', 'bound', 'was', 'obtained', 'by', 'delbaen', 'jarchow', 'and', 'pelczynski', '1998', 'in', 'a', 'different', 'way']] | [-0.1714599075575554, 0.1470079149886408, -0.004909263653030922, 0.06763101608741509, 0.007003531466389812, -0.212009338293831, -0.006801394962294157, 0.32338004480224364, -0.237838170036327, -0.3160126153379679, 0.08006423621351809, -0.29045669517891354, -0.06878110723634966, 0.19440911547822315, -0.08314007815233497, 0.0010186390799665174, 0.00038794735663158947, 0.12159382716514343, -0.02608842515321665, -0.33211903763545114, 0.2559710128536058, -0.03320277605725582, 0.18899558482388423, 0.04744287571588228, 0.025132366845947364, 0.00983101544295286, -0.01995268520400968, -0.04080823689785808, -0.24058960352179615, 0.09439254910576829, 0.252617392212499, 0.10332485592685813, 0.21248313362255347, -0.317476223504474, -0.15938858695728922, 0.16962597770399826, 0.16688317596522528, -0.0024932444442150206, 0.005824411807711734, -0.27675608815733604, 0.12199211934395947, -0.11670681357730267, -0.13379235341495208, 0.01607536139009997, 0.15767204817005454, -0.07202623186762942, -0.3333542170869403, -0.02990964077802938, 0.20034220985808346, 0.06612190848343659, -0.05965998564132078, -0.18980247563097713, -0.04227121525205845, 0.0742578688185922, -0.06877897379291785, 0.12533440969364587, 0.002502991579646288, -0.05957613979076404, -0.0969706749067057, 0.298488951201529, -0.12119172504821489, -0.2145785724007806, 0.09287448582607646, -0.1375318127900882, -0.11281670732856837, 0.12783997399775787, 0.0673208124285867, 0.18526337998594308, -0.07548794050722621, 0.3024385480486333, -0.16014986579458035, 0.11644084005464994, 0.15490534549665658, -0.050393565709507745, 0.04448905955393647, 0.05549694584725901, 0.1280176966602719, 0.12067526249691497, -0.020972498627596124, 0.026770066145027794, -0.311703818417046, -0.1863559415092865, -0.17989827235510877, 0.1402704638623914, -0.13383247065398474, -0.02810936470970858, 0.2784040717538013, -0.009038032877237298, 0.21141309654989907, 0.07498595031887986, 0.17921877557108568, 0.07042364644016637, 0.0010495196383576407, 0.16188279854480264, 0.18193803724378002, 0.19399931026774264, -0.016397757425925932, -0.11106620506426795, -0.01858105746552695, 0.1602669293494072] |
712.0215 | Validity of strong lensing statistics for constraints on the galaxy
evolution model | We examine the usefulness of the strong lensing statistics to constrain the
evolution of the number density of lensing galaxies by adopting the values of
the cosmological parameters determined by recent WMAP observation. For this
purpose, we employ the lens-redshift test proposed by Kochanek (1992) and
constrain the parameters in two evolution models, simple power-law model
characterized by the power law indexes $nu_{n}$ and $\nu_{v}$ and the evolution
model by Mitchell et al. (2005) based on CDM structure formation scenario. We
use the well-defined lens sample from the Sloan Digital Sky Survey (SDSS) and
this is similarly sized samples used in the previous studies. Furthermore, we
adopt the velocity dispersion function of early-type galaxies based on SDSS DR1
and DR5. It turns out that the indexes of power-law model are consistent with
the previous studies, thus our results indicate the mild evolution in the
number and velocity dispersion of early-type galaxies out to z = 1. However we
found that the values for p and q used by Mitchell et al. are inconsistent with
the presently available observational data. More complete sample is necessary
to withdraw more realistic determination on these parameters.
| astro-ph | we examine the usefulness of the strong lensing statistics to constrain the evolution of the number density of lensing galaxies by adopting the values of the cosmological parameters determined by recent wmap observation for this purpose we employ the lensredshift test proposed by kochanek 1992 and constrain the parameters in two evolution models simple powerlaw model characterized by the power law indexes nu_n and nu_v and the evolution model by mitchell et al 2005 based on cdm structure formation scenario we use the welldefined lens sample from the sloan digital sky survey sdss and this is similarly sized samples used in the previous studies furthermore we adopt the velocity dispersion function of earlytype galaxies based on sdss dr1 and dr5 it turns out that the indexes of powerlaw model are consistent with the previous studies thus our results indicate the mild evolution in the number and velocity dispersion of earlytype galaxies out to z 1 however we found that the values for p and q used by mitchell et al are inconsistent with the presently available observational data more complete sample is necessary to withdraw more realistic determination on these parameters | [['we', 'examine', 'the', 'usefulness', 'of', 'the', 'strong', 'lensing', 'statistics', 'to', 'constrain', 'the', 'evolution', 'of', 'the', 'number', 'density', 'of', 'lensing', 'galaxies', 'by', 'adopting', 'the', 'values', 'of', 'the', 'cosmological', 'parameters', 'determined', 'by', 'recent', 'wmap', 'observation', 'for', 'this', 'purpose', 'we', 'employ', 'the', 'lensredshift', 'test', 'proposed', 'by', 'kochanek', '1992', 'and', 'constrain', 'the', 'parameters', 'in', 'two', 'evolution', 'models', 'simple', 'powerlaw', 'model', 'characterized', 'by', 'the', 'power', 'law', 'indexes', 'nu_n', 'and', 'nu_v', 'and', 'the', 'evolution', 'model', 'by', 'mitchell', 'et', 'al', '2005', 'based', 'on', 'cdm', 'structure', 'formation', 'scenario', 'we', 'use', 'the', 'welldefined', 'lens', 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712.0216 | Connecting the Galactic and Cosmological Scales: Dark Energy and the
Cuspy-Core Problem | We propose a solution to the `cuspy-core' problem by extending the geodesic
equations of motion using the Dark Energy length scale
$\lambda_{DE}=c/(\Lambda_{DE} G)^{1/2}$. This extension does not affect the
motion of photons; gravitational lensing is unchanged. A cosmological check of
the theory is made, and $\sigma_8$ is calculated to be $0.68_{\pm0.11}$,
compared to $0.761_{-0.048}^{+0.049}$ for WMAP. We estimate the fractional
density of matter that cannot be determined through gravity at $0.197_{\pm
0.017}$, compared to $0.196^{+0.025}_{-0.026}$, the fractional density of
nonbaryonic matter. The fractional density of matter that can be determined
through gravity is estimated at $0.041_{-0.031}^{+0.030}$, compared to
$0.0416_{-0.0039}^{+0.0038}$ for $\Omega_B$.
| astro-ph | we propose a solution to the cuspycore problem by extending the geodesic equations of motion using the dark energy length scale lambda_declambda_de g12 this extension does not affect the motion of photons gravitational lensing is unchanged a cosmological check of the theory is made and sigma_8 is calculated to be 068_pm011 compared to 0761_00480049 for wmap we estimate the fractional density of matter that cannot be determined through gravity at 0197_pm 0017 compared to 01960025_0026 the fractional density of nonbaryonic matter the fractional density of matter that can be determined through gravity is estimated at 0041_00310030 compared to 00416_0003900038 for omega_b | [['we', 'propose', 'a', 'solution', 'to', 'the', 'cuspycore', 'problem', 'by', 'extending', 'the', 'geodesic', 'equations', 'of', 'motion', 'using', 'the', 'dark', 'energy', 'length', 'scale', 'lambda_declambda_de', 'g12', 'this', 'extension', 'does', 'not', 'affect', 'the', 'motion', 'of', 'photons', 'gravitational', 'lensing', 'is', 'unchanged', 'a', 'cosmological', 'check', 'of', 'the', 'theory', 'is', 'made', 'and', 'sigma_8', 'is', 'calculated', 'to', 'be', '068_pm011', 'compared', 'to', '0761_00480049', 'for', 'wmap', 'we', 'estimate', 'the', 'fractional', 'density', 'of', 'matter', 'that', 'can', 'not', 'be', 'determined', 'through', 'gravity', 'at', '0197_pm', '0017', 'compared', 'to', '01960025_0026', 'the', 'fractional', 'density', 'of', 'nonbaryonic', 'matter', 'the', 'fractional', 'density', 'of', 'matter', 'that', 'can', 'be', 'determined', 'through', 'gravity', 'is', 'estimated', 'at', '0041_00310030', 'compared', 'to', '00416_0003900038', 'for', 'omega_b']] | [-0.10724372369683503, 0.13580207258928567, -0.14058013118240828, 0.09019067763559481, -0.1001331701457578, -0.072270698818708, -0.03174316904066169, 0.2988275855671721, -0.2642562508602471, -0.35021817742381245, 0.07134434978312736, -0.28556948942908394, -0.014606519260875453, 0.18424308665150116, -0.037056201581435744, 0.03886994890247782, -0.01738457504446463, 0.02908041768629725, -0.07939891434216406, -0.22129412289359607, 0.2836506820312934, 0.08205849428971608, 0.17745075619313866, 0.03885293150475869, 0.10949694528244436, -0.055199154417399164, -0.07427941659989301, 0.061149501852924004, -0.18856749065965536, 0.0666802199666563, 0.18951840442362786, 0.07042491012058842, 0.19649421245412668, -0.38208509705145843, -0.24867735776933841, 0.14679247221404998, 0.1696611953569421, 0.12035327608449127, -0.00603476586790445, -0.3258998777988988, 0.12325727901043138, -0.17104420969068693, -0.13985297220642678, -0.03956688426357383, -0.00307058352821817, -0.021467148384545, -0.24881550409675887, 0.1968986872137369, -0.054572564016173906, -0.07509149482939392, -0.09580288069385763, -0.10259681348300849, -0.032999645089148544, 0.02004606120560008, 0.0721356663586145, 0.06664658512939543, 0.17957265196794955, -0.15515596871409798, -0.05913795152688787, 0.43521578221892315, -0.15506919081963133, -0.22130709427862408, 0.0899569760755791, -0.1565836873536076, -0.12235598991780232, 0.12622929036539668, 0.11646705843061984, 0.07606688334226419, -0.13383585549308918, 0.11728456471792015, -0.011250216221621182, 0.23575088196715419, 0.09370687387612027, 0.010055569058749825, 0.2859507507722204, 0.13263918569039865, 0.08087135878546785, 0.054716403514854996, -0.09848402172792703, -0.03411924032358608, -0.31492660867904004, -0.13220627740762816, -0.22192411900808415, 0.04333540645438916, -0.09375144850234089, -0.10698420732902984, 0.33877471739348647, 0.16708710683936565, 0.1527657425661649, 0.07440870571493481, 0.282596186210867, 0.1694550809394665, 0.03888220531613721, 0.07484980777371675, 0.3249310044532952, 0.1729197070004981, 0.044073653229133924, -0.26654212452316034, 0.02615031393361278, 0.0358202299757977] |
712.0217 | A Note on Exact Solutions and Attractor Mechanism for Non-BPS Black
Holes | We obtain two extremal, spherically symmetric, non-BPS black hole solutions
to 4D supergravity, one of which carries D2-D6 charges and the other carries
D0-D2-D4 charges. For the D2-D6 case, rather than solving the equations of
motion directly, we assume the form of the solution and then find that the
assumption satisfies the equations of motion and the constraint. Our D2-D6
solution is manifestly dual to the solution presented in 0710.4967. The
D0-D2-D4 solution is obtained by performing certain $[SL(2,{\bf Z})]^{3}$
duality transformations on the D0-D4 solution in 0710.4967.
| hep-th | we obtain two extremal spherically symmetric nonbps black hole solutions to 4d supergravity one of which carries d2d6 charges and the other carries d0d2d4 charges for the d2d6 case rather than solving the equations of motion directly we assume the form of the solution and then find that the assumption satisfies the equations of motion and the constraint our d2d6 solution is manifestly dual to the solution presented in 07104967 the d0d2d4 solution is obtained by performing certain sl2bf z3 duality transformations on the d0d4 solution in 07104967 | [['we', 'obtain', 'two', 'extremal', 'spherically', 'symmetric', 'nonbps', 'black', 'hole', 'solutions', 'to', '4d', 'supergravity', 'one', 'of', 'which', 'carries', 'd2d6', 'charges', 'and', 'the', 'other', 'carries', 'd0d2d4', 'charges', 'for', 'the', 'd2d6', 'case', 'rather', 'than', 'solving', 'the', 'equations', 'of', 'motion', 'directly', 'we', 'assume', 'the', 'form', 'of', 'the', 'solution', 'and', 'then', 'find', 'that', 'the', 'assumption', 'satisfies', 'the', 'equations', 'of', 'motion', 'and', 'the', 'constraint', 'our', 'd2d6', 'solution', 'is', 'manifestly', 'dual', 'to', 'the', 'solution', 'presented', 'in', '07104967', 'the', 'd0d2d4', 'solution', 'is', 'obtained', 'by', 'performing', 'certain', 'sl2bf', 'z3', 'duality', 'transformations', 'on', 'the', 'd0d4', 'solution', 'in', '07104967']] | [-0.16123101000435824, 0.03321860392772874, -0.08017682096227831, 0.06247452544968922, -0.08929272547234283, -0.17226083860407734, -0.02029047421244688, 0.2637651209573283, -0.19851122525802187, -0.23753371429196452, 0.12844175368893979, -0.3453279595692144, -0.11682234431053837, 0.12081200724770856, -0.03350593623986771, 0.018460676588421297, 0.005454608290672822, 0.08416709960113432, -0.1224365339500743, -0.23134694234901215, 0.36356861425866915, -0.03625347279012203, 0.27951340650229956, -0.011332137312545159, 0.1695421293302071, 0.0030029234313947517, 0.020555896478431666, 0.03385689535698052, -0.1348176582877661, 0.08583966754160302, 0.18524262759574625, 0.139272291469117, 0.12277082709032436, -0.4428893617505944, -0.1611461365530484, 0.07998641693780502, 0.14832851533144495, 0.14944388080512844, -0.09372085324919807, -0.2681678072414036, 0.09766172966378373, -0.1387611597743925, -0.19444724623395435, -0.07166657365078843, 0.03673629755110935, -0.039136937252235014, -0.27312088993832817, 0.09132246549652759, 0.057965275395639934, -0.08577980801766348, -0.1781647581888666, -0.049266590969637036, -0.08707775775245716, 0.051812288221404997, 0.1381352486218824, 0.04388110679682604, 0.10609113341089078, -0.1453026658070252, -0.08677100600284893, 0.3770256208277546, -0.03420356044706179, -0.3205648378663978, 0.12330330483247201, -0.17289625562532523, -0.12278234152946362, 0.11094453814439476, 0.057712555391887244, 0.25081517437992745, -0.15067309714030735, 0.17933682932553618, -0.06773840053938329, 0.1431700758281337, 0.11624936166024485, 0.0223432187110099, 0.2417588944568537, 0.07008595594616476, 0.10293333364994438, 0.16315125774789796, 0.009729746239108229, -0.17237323575631477, -0.35295243032796436, -0.1402234986050834, -0.1155946793110478, 0.14658107981085777, -0.15225869670004696, -0.1691510095883724, 0.3382217473821541, 0.10064036036749523, 0.137578692298036, 0.054241535552983104, 0.19648211571756144, 0.15050590442910486, 0.044320368511212425, 0.0959251040896011, 0.26553219797219646, 0.110364644376691, 0.10030132755203995, -0.24060387635430278, -0.07885398364864117, 0.22465738363910553] |
712.0218 | Spectral imaging of the Sagittarius B2 region in multiple 3-mm molecular
lines with the Mopra telescope | Using the Mopra telescope, we have undertaken a 3-mm spectral-line imaging
survey of a 5 x 5 arcmin^2 area around Sgr B2. We covered almost the complete
spectral the range from 81.7 to 113.5 GHz, with 2.2 MHz wide spectral channels
or ~ 6 km/s, and have observed 24 lines, with 0.033 MHz wide, or ~ 0.1 km/s
channels. We discuss the distribution of around 50 lines, and present
velocity-integrated emission images for 38 of the lines. In addition, we have
detected around 120 more lines, mostly concentrated at the particularly
spectral line-rich Sgr B2(N) source. There are significant differences in
molecular emission, pointing to both abundance and excitation differences
throughout the region. Seven distinct spatial locations are identified for the
emitting species, including peaks near the prominent star forming cores of Sgr
B2(N), (M) and (S) that are seen in IR-to-radio continuum images. The other
features are a 'North Ridge' and a 'North Cloud' to the north of the Sgr B2
N-M-S cores, a 'South-East Peak' and a 'West Ridge'. The column density, as
evident through C^{18}O, peaks at the Sgr B2(N) and (M) cores, where strong
absorption is also evident in otherwise generally bright lines such as HCO^{+},
HCN and HNC. Most molecules trace a ridge line to the west of the Sgr B2 N-M-S
cores, wrapping around the cores and extending NE to the North Cloud. This is
most clearly evident in the species HC_{3}N, CH_{3}CN, CH_{3}OH and OCS. They
are found to be closer in distribution to the cooler dust traced by the sub-mm
continuum than either the warmer dust seen in the mid-IR or to the radio
continuum. The molecule CN, in contrast, is reasonably uniform over the entire
region mapped, aside from strong absorption at the positions of the Sgr B2(N)
and (M) cores.
| astro-ph | using the mopra telescope we have undertaken a 3mm spectralline imaging survey of a 5 x 5 arcmin2 area around sgr b2 we covered almost the complete spectral the range from 817 to 1135 ghz with 22 mhz wide spectral channels or 6 kms and have observed 24 lines with 0033 mhz wide or 01 kms channels we discuss the distribution of around 50 lines and present velocityintegrated emission images for 38 of the lines in addition we have detected around 120 more lines mostly concentrated at the particularly spectral linerich sgr b2n source there are significant differences in molecular emission pointing to both abundance and excitation differences throughout the region seven distinct spatial locations are identified for the emitting species including peaks near the prominent star forming cores of sgr b2n m and s that are seen in irtoradio continuum images the other features are a north ridge and a north cloud to the north of the sgr b2 nms cores a southeast peak and a west ridge the column density as evident through c18o peaks at the sgr b2n and m cores where strong absorption is also evident in otherwise generally bright lines such as hco hcn and hnc most molecules trace a ridge line to the west of the sgr b2 nms cores wrapping around the cores and extending ne to the north cloud this is most clearly evident in the species hc_3n ch_3cn ch_3oh and ocs they are found to be closer in distribution to the cooler dust traced by the submm continuum than either the warmer dust seen in the midir or to the radio continuum the molecule cn in contrast is reasonably uniform over the entire region mapped aside from strong absorption at the positions of the sgr b2n and m cores | [['using', 'the', 'mopra', 'telescope', 'we', 'have', 'undertaken', 'a', '3mm', 'spectralline', 'imaging', 'survey', 'of', 'a', '5', 'x', '5', 'arcmin2', 'area', 'around', 'sgr', 'b2', 'we', 'covered', 'almost', 'the', 'complete', 'spectral', 'the', 'range', 'from', '817', 'to', '1135', 'ghz', 'with', 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'or', 'to', 'the', 'radio', 'continuum', 'the', 'molecule', 'cn', 'in', 'contrast', 'is', 'reasonably', 'uniform', 'over', 'the', 'entire', 'region', 'mapped', 'aside', 'from', 'strong', 'absorption', 'at', 'the', 'positions', 'of', 'the', 'sgr', 'b2n', 'and', 'm', 'cores']] | [-0.06715071408872991, 0.04463470488122699, 0.00508399480116563, 0.039417951668045084, -0.012795820271342316, -0.08982676116283983, 0.059731084658209276, 0.4907500294824241, -0.1514053297164828, -0.31009340076981684, 0.07971517781347588, -0.3131569087119641, 0.005853562265977903, 0.11200714248204321, 0.02524397121068178, -0.082647731690158, 0.02391283001879274, -0.10660545754102169, -0.007850082909603297, -0.13485936995365214, 0.22396435287094327, 0.07403986968307032, 0.16781750487897432, 0.0399721843058789, 0.021504510470794557, -0.18432840290482302, -0.05175995066729045, -0.0338050045091847, -0.08870163912307616, 0.07341002017770727, 0.29312223514231545, 0.10952494044197089, 0.1806678851417294, 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712.0219 | Structure of the Star with Ideal Gases | In this paper, we provide a simplified stellar structure model for ideal
gases, in which the particles are only driven by gravity. According to the
model, the structural information of the star can be roughly solved by the
total mass and radius of a star. To get more accurate results, the model should
be modified by introducing other interaction among particles and rotation of
the star.
| physics.gen-ph | in this paper we provide a simplified stellar structure model for ideal gases in which the particles are only driven by gravity according to the model the structural information of the star can be roughly solved by the total mass and radius of a star to get more accurate results the model should be modified by introducing other interaction among particles and rotation of the star | [['in', 'this', 'paper', 'we', 'provide', 'a', 'simplified', 'stellar', 'structure', 'model', 'for', 'ideal', 'gases', 'in', 'which', 'the', 'particles', 'are', 'only', 'driven', 'by', 'gravity', 'according', 'to', 'the', 'model', 'the', 'structural', 'information', 'of', 'the', 'star', 'can', 'be', 'roughly', 'solved', 'by', 'the', 'total', 'mass', 'and', 'radius', 'of', 'a', 'star', 'to', 'get', 'more', 'accurate', 'results', 'the', 'model', 'should', 'be', 'modified', 'by', 'introducing', 'other', 'interaction', 'among', 'particles', 'and', 'rotation', 'of', 'the', 'star']] | [-0.05709136330176878, 0.17312022488013926, -0.09555983532107237, 0.07689300689415893, -0.0739233791404827, -0.12302999141992944, 0.016290391133886507, 0.3419499687398925, -0.24394178723521304, -0.38377589526388683, 0.07217051362915133, -0.24884401199718317, -0.08091101564015403, 0.17561650111438762, -0.038881549992683256, -0.013426318919907013, 0.061930328219508134, 0.048637778650366024, -0.041737846077673814, -0.2518688502904931, 0.337356641733398, 0.09291079437190836, 0.13297785626667918, 0.022337199146436018, 0.044183218498911825, -0.03943942866118794, -0.024139944717965343, 0.0586470030202966, -0.1680462589826096, 0.11706571108802702, 0.16867813935845555, 0.1089594651747382, 0.20522253613594468, -0.43271781526731723, -0.2497553304684433, 0.055793965997343715, 0.16400413207399347, 0.10256466203700808, -0.058176171180314144, -0.27006024884229357, 0.06140457573487903, -0.21535711223259568, -0.13818144942916027, -0.03747811345877408, -0.0034320404484980936, 0.03422090517723876, -0.28422439805052074, 0.10741416704982068, 0.08237199696966192, 0.007437832713494021, -0.07627680286708655, -0.04401779344136065, -0.05492662745669032, 0.10082774274897846, 0.021808451755945993, 0.05463671650222474, 0.12932691199592117, -0.15133265985500519, -0.04067801713421376, 0.4555975053685181, -0.08840405841880111, -0.21640788509764455, 0.17009204829281027, -0.14863476871907938, -0.09535339797113204, 0.10211843418691194, 0.17242688540312828, 0.11835918285545301, -0.22474044023847178, 0.0057140438602249505, -0.040919445700252036, 0.16787568286456395, 0.03506709616207941, 0.00018282713029872286, 0.3132600618639227, 0.15847862977534533, 0.03771282949795326, 0.11101657074653883, -0.08726267637261613, -0.09712024179823471, -0.22673508124143787, -0.14832164662705813, -0.15559613941039777, 0.015396964432897441, -0.10937271848149865, -0.06792388166385618, 0.3733807126003684, 0.13651656609903456, 0.20344307965768332, 0.02170961055460132, 0.2763608046084163, 0.127346886392457, 0.09035173422572287, 0.07858784962445498, 0.28751116840055946, 0.15376616832024106, 0.04991783518838047, -0.2307007408517441, 0.06912840810378618, 0.067160509413842] |
712.022 | A Birthday Paradox for Markov chains with an optimal bound for collision
in the Pollard Rho algorithm for discrete logarithm | We show a Birthday Paradox for self-intersections of Markov chains with
uniform stationary distribution. As an application, we analyze Pollard's Rho
algorithm for finding the discrete logarithm in a cyclic group $G$ and find
that if the partition in the algorithm is given by a random oracle, then with
high probability a collision occurs in $\Theta(\sqrt{|G|})$ steps. Moreover,
for the parallelized distinguished points algorithm on $J$ processors we find
that $\Theta(\sqrt{|G|}/J)$ steps suffices. These are the first proofs of the
correct order bounds which do not assume that every step of the algorithm
produces an i.i.d. sample from $G$.
| math.PR math.CO | we show a birthday paradox for selfintersections of markov chains with uniform stationary distribution as an application we analyze pollards rho algorithm for finding the discrete logarithm in a cyclic group g and find that if the partition in the algorithm is given by a random oracle then with high probability a collision occurs in thetasqrtg steps moreover for the parallelized distinguished points algorithm on j processors we find that thetasqrtgj steps suffices these are the first proofs of the correct order bounds which do not assume that every step of the algorithm produces an iid sample from g | [['we', 'show', 'a', 'birthday', 'paradox', 'for', 'selfintersections', 'of', 'markov', 'chains', 'with', 'uniform', 'stationary', 'distribution', 'as', 'an', 'application', 'we', 'analyze', 'pollards', 'rho', 'algorithm', 'for', 'finding', 'the', 'discrete', 'logarithm', 'in', 'a', 'cyclic', 'group', 'g', 'and', 'find', 'that', 'if', 'the', 'partition', 'in', 'the', 'algorithm', 'is', 'given', 'by', 'a', 'random', 'oracle', 'then', 'with', 'high', 'probability', 'a', 'collision', 'occurs', 'in', 'thetasqrtg', 'steps', 'moreover', 'for', 'the', 'parallelized', 'distinguished', 'points', 'algorithm', 'on', 'j', 'processors', 'we', 'find', 'that', 'thetasqrtgj', 'steps', 'suffices', 'these', 'are', 'the', 'first', 'proofs', 'of', 'the', 'correct', 'order', 'bounds', 'which', 'do', 'not', 'assume', 'that', 'every', 'step', 'of', 'the', 'algorithm', 'produces', 'an', 'iid', 'sample', 'from', 'g']] | [-0.12295766130327392, 0.09757350943532542, -0.1318475985515517, 0.041816668158886745, -0.039021107454582586, -0.1677418890692409, 0.09385678141387467, 0.40724337243081365, -0.2627435552205929, -0.28851883837559555, 0.08477701379835952, -0.24698836809581087, -0.13800001929192468, 0.16488087012254893, -0.07313554044620893, 0.03942854715434393, 0.10143280058100666, 0.09568735162641123, -0.04466420831878852, -0.2900562757558967, 0.2717072744421738, -0.004778273806897635, 0.23124499102369114, 0.010674995206987736, 0.14271740283884263, 0.037124116746612736, -0.005767285287351415, 0.017974926946089438, -0.14691015833515622, 0.03715320359243406, 0.22650820608298802, 0.13306248629196865, 0.3040644321302624, -0.39896194935713586, -0.13250269291480793, 0.17233765488202424, 0.15156533433239638, 0.11227833696991474, -0.02989259798718213, -0.23212452140665546, 0.13571038118746018, -0.12396601892854135, -0.1075175764115969, -0.03598959682048442, 0.04356383439873528, 0.050471430596386646, -0.32745347964126115, 0.023108371415837985, 0.10969158083430885, 0.024074998367385764, 0.00609253800099658, -0.10760760079762063, 0.018903698104904176, 0.09683018008285423, 0.016705209262112213, 0.038866483649603795, 0.06685554230262852, -0.074935350487892, -0.1626599292587681, 0.35299167807991666, -0.06347775757528804, -0.16765599867770659, 0.11624631765730602, -0.1227231272784321, -0.20714627163599908, 0.1277697924716571, 0.14083612091916123, 0.15458817026318655, -0.08960489021372962, 0.12318406872314487, -0.09788785854680944, 0.16329117707869747, 0.054859021942601685, -0.025730545810164557, 0.11650491551227253, 0.089979509722211, 0.14833140307701356, 0.1579629696867208, -0.06609006065121592, -0.06181299018183934, -0.35495811004729305, -0.17964142471427078, -0.2626168623797058, 0.05002316785031166, -0.13873920411927046, -0.18914061589718595, 0.3285298328558655, 0.1501114438911996, 0.22001827413158626, 0.14531906760062485, 0.2539841700345278, 0.12100591159008021, 0.0002516621493340768, 0.18665117223161398, 0.10113829169806439, 0.10812257216119966, 0.018917255262008954, -0.17233395243313201, 0.09553769203959052, 0.12057268299815274] |
712.0221 | Tunable resonators for quantum circuits | We have designed, fabricated and measured high-Q $\lambda/2$ coplanar
waveguide microwave resonators whose resonance frequency is made tunable with
magnetic field by inserting a DC-SQUID array (including 1 or 7 SQUIDs) inside.
Their tunability range is 30% of the zero field frequency. Their quality factor
reaches up to 3$\times10^4$. We present a model based on thermal fluctuations
that accounts for the dependance of the quality factor with magnetic field.
| quant-ph cond-mat.mes-hall cond-mat.supr-con | we have designed fabricated and measured highq lambda2 coplanar waveguide microwave resonators whose resonance frequency is made tunable with magnetic field by inserting a dcsquid array including 1 or 7 squids inside their tunability range is 30 of the zero field frequency their quality factor reaches up to 3times104 we present a model based on thermal fluctuations that accounts for the dependance of the quality factor with magnetic field | [['we', 'have', 'designed', 'fabricated', 'and', 'measured', 'highq', 'lambda2', 'coplanar', 'waveguide', 'microwave', 'resonators', 'whose', 'resonance', 'frequency', 'is', 'made', 'tunable', 'with', 'magnetic', 'field', 'by', 'inserting', 'a', 'dcsquid', 'array', 'including', '1', 'or', '7', 'squids', 'inside', 'their', 'tunability', 'range', 'is', '30', 'of', 'the', 'zero', 'field', 'frequency', 'their', 'quality', 'factor', 'reaches', 'up', 'to', '3times104', 'we', 'present', 'a', 'model', 'based', 'on', 'thermal', 'fluctuations', 'that', 'accounts', 'for', 'the', 'dependance', 'of', 'the', 'quality', 'factor', 'with', 'magnetic', 'field']] | [-0.22177889759220398, 0.20069371840066236, 0.04304747639790825, -0.11467645217097648, -0.06406764133725369, -0.16893484656685503, 0.03391278607170165, 0.4783525270396385, -0.15267375794549784, -0.38641816569303256, 0.03410595057505197, -0.27173178718573804, -0.043800247175133096, 0.2565981551964322, 0.055066789702876755, 0.05455094172308842, -0.028810623938730663, -0.014891664214108301, -0.02114597293784491, -0.15315272429438334, 0.2791210666798271, 0.08636509430378783, 0.33355320417119755, 0.038112759178477354, 0.14138693211978112, -0.04935445557550892, 0.09156477513412635, 0.027856519553756367, -0.1434228766303167, 0.06793142060843715, 0.1822836840039362, -0.03557759486273795, 0.24196271265796182, -0.4188570984355781, -0.1652224684620033, 0.03616526108775018, 0.14241463579642383, 0.08082025703312694, -0.036049535283751356, -0.2770149098722723, 0.09224679761066817, -0.14092893627863648, -0.1451212972254101, -0.05316946041378854, -0.03191706285967181, -0.011938897717366184, -0.27020263472113054, 0.03224555662144785, 0.029148274911162647, 0.11413333222836904, -0.01335692693533349, -0.1051775437604258, 0.03650446163247461, 0.04751500750189998, -0.06979041317970479, 0.06378648523916153, 0.26002109524510475, -0.10175181717436382, -0.09836081214977996, 0.3103482608642915, -0.13279397414821753, -0.11574652085107738, 0.10154605511427466, -0.21211719807858267, 0.047635713956602245, 0.1849282164281855, 0.15365571170991313, 0.007680921685423, -0.11790642133859945, 0.06777753528339141, 0.07253547317172954, 0.2648829098595171, 0.14992015243278464, 0.0992347184582141, 0.2634238380284143, 0.22256283950485775, -0.014291635782802072, 0.1634956289578796, -0.14783340863768768, 0.047525687858570316, -0.20553018831803152, -0.052092186894024846, -0.17487911936705527, 0.09292300148070723, -0.11844218394063595, -0.21305436086233542, 0.4170315303718266, 0.14570448428824329, 0.18546356984238693, -0.032867398254735315, 0.30886481426980184, 0.13794238015037516, 0.14532069132352868, 0.04261519731548817, 0.3163799601269589, 0.21710309724026508, 0.11425834986637684, -0.23703175323232467, -0.07360033667308913, -0.08991971921067739] |
712.0222 | 2-photon ionization and necessary laser and vacuum systems for
experiments with trapped strontium ions | We describe a efficient way to photoionize strontium atoms in a linear
radio-frequency trap. We use a 2-photon second order process to excite the
autoionization resonance (4d2 + 5p2) 1D2. A doubled pulsed Ti:Saphire laser
system is used at 431nm to provide 100fsec pulses at 82Mhz. The fabrication of
the laser systems for addressing the Sr+ transitions necessary for laser
cooling and excitation of quantum jumps, vacuum system and ion trap structure
are also described in detail. With the current setup a easy and repeatable
trapping of linear ion chains is achieved at UHV pressures.
| quant-ph | we describe a efficient way to photoionize strontium atoms in a linear radiofrequency trap we use a 2photon second order process to excite the autoionization resonance 4d2 5p2 1d2 a doubled pulsed tisaphire laser system is used at 431nm to provide 100fsec pulses at 82mhz the fabrication of the laser systems for addressing the sr transitions necessary for laser cooling and excitation of quantum jumps vacuum system and ion trap structure are also described in detail with the current setup a easy and repeatable trapping of linear ion chains is achieved at uhv pressures | [['we', 'describe', 'a', 'efficient', 'way', 'to', 'photoionize', 'strontium', 'atoms', 'in', 'a', 'linear', 'radiofrequency', 'trap', 'we', 'use', 'a', '2photon', 'second', 'order', 'process', 'to', 'excite', 'the', 'autoionization', 'resonance', '4d2', '5p2', '1d2', 'a', 'doubled', 'pulsed', 'tisaphire', 'laser', 'system', 'is', 'used', 'at', '431nm', 'to', 'provide', '100fsec', 'pulses', 'at', '82mhz', 'the', 'fabrication', 'of', 'the', 'laser', 'systems', 'for', 'addressing', 'the', 'sr', 'transitions', 'necessary', 'for', 'laser', 'cooling', 'and', 'excitation', 'of', 'quantum', 'jumps', 'vacuum', 'system', 'and', 'ion', 'trap', 'structure', 'are', 'also', 'described', 'in', 'detail', 'with', 'the', 'current', 'setup', 'a', 'easy', 'and', 'repeatable', 'trapping', 'of', 'linear', 'ion', 'chains', 'is', 'achieved', 'at', 'uhv', 'pressures']] | [-0.10884948116209772, 0.22705569342037457, -0.012845317411443426, 0.01240541223614855, 0.0395976005290221, -0.2201050986794548, 0.07714212323125037, 0.4701036105449829, -0.21964801779637735, -0.2549787872341565, 0.029409579661053915, -0.24192327827008234, 0.017266116042931875, 0.2110130549201535, 0.014004454228820072, 0.08122233553634335, 0.01968572648604297, -0.053101456519410326, -0.0008741672409491407, -0.1781250556077187, 0.22398761777828138, 0.11254694621052799, 0.259633842172722, 0.03780923525078429, 0.13659389725782806, -0.03449390278094345, 0.13820635852300459, -0.08455646112561226, -0.13695426115817907, 0.09988683506639467, 0.27356567812773086, -0.0041651689421592485, 0.21906642930116504, -0.46290610511269836, -0.19352012560185458, 0.03325353854646285, 0.1254117326759216, 0.23374675858293711, -0.08630083944234583, -0.2483247778378427, -0.013198492231054439, -0.15076935593452717, -0.17924083974212407, -0.12323937144958311, -0.0090810919387473, 0.03452741110102377, -0.3327701097438371, -0.007117323932147378, 0.05421885768106828, 0.10992389778710074, -0.05364910831881894, -0.03256084507900393, 0.030315418732869956, 0.002656605213673578, -0.08057271801485008, 0.038096642877078715, 0.2367018963624206, -0.052674804294171436, -0.09142357972967956, 0.3787175278593269, -0.11027023134261577, -0.08171560329695543, 0.17594349364646608, -0.20657935680355877, -0.063181686516489, 0.1944577472594877, 0.14555367079252998, 0.12825138898462884, -0.15046799976650316, 0.02991927961322492, 0.0844868247811165, 0.19712210799374993, 0.18185356224938815, 0.07029847200804701, 0.20796748383177652, 0.2018668801096889, 0.058101771275202434, 0.1828377827358458, -0.09683211717444161, -0.023946584854274987, -0.26295150188315247, -0.14963305082379116, -0.14487802414999654, 0.03537659788400763, 0.04979899271646799, -0.1099435715108282, 0.3959003699115581, 0.11275770212006238, 0.12380303845016492, -0.08298459811808748, 0.3153465519659221, 0.14298278144851792, 0.025242062233802345, -0.011284285773419672, 0.24605990658229632, 0.18761056556055944, 0.14706374555308785, -0.3084085744006896, 0.0052329176829920875, -0.017983034850719073] |
712.0223 | Electron energy loss spectroscopy determination of Ti oxidation state at
the (001) LaAlO3/SrTiO3 interface as a function of LaAlO3 growth conditions | At the (001) interface between the two band-insulators LaAlO3 and SrTiO3, a
high-mobility electron gas may appear, which has been the object of numerous
works over the last four years. Its origin is a subject of debate between the
interface polarity and unintended doping. Here we use electron energy loss
'spectrum images', recorded in cross-section in a scanning transmission
electron microscope, to analyse the Ti3+ ratio, characteristic of extra
electrons. We find an interface concentration of Ti3+ that depends on growth
conditions.
| cond-mat.mtrl-sci | at the 001 interface between the two bandinsulators laalo3 and srtio3 a highmobility electron gas may appear which has been the object of numerous works over the last four years its origin is a subject of debate between the interface polarity and unintended doping here we use electron energy loss spectrum images recorded in crosssection in a scanning transmission electron microscope to analyse the ti3 ratio characteristic of extra electrons we find an interface concentration of ti3 that depends on growth conditions | [['at', 'the', '001', 'interface', 'between', 'the', 'two', 'bandinsulators', 'laalo3', 'and', 'srtio3', 'a', 'highmobility', 'electron', 'gas', 'may', 'appear', 'which', 'has', 'been', 'the', 'object', 'of', 'numerous', 'works', 'over', 'the', 'last', 'four', 'years', 'its', 'origin', 'is', 'a', 'subject', 'of', 'debate', 'between', 'the', 'interface', 'polarity', 'and', 'unintended', 'doping', 'here', 'we', 'use', 'electron', 'energy', 'loss', 'spectrum', 'images', 'recorded', 'in', 'crosssection', 'in', 'a', 'scanning', 'transmission', 'electron', 'microscope', 'to', 'analyse', 'the', 'ti3', 'ratio', 'characteristic', 'of', 'extra', 'electrons', 'we', 'find', 'an', 'interface', 'concentration', 'of', 'ti3', 'that', 'depends', 'on', 'growth', 'conditions']] | [-0.17893947839876068, 0.1431743243168656, -0.063978171498492, 0.036194814303776295, 0.0074163164614086475, -0.17849553655833006, 0.04733175930862383, 0.4310517712189566, -0.2438191481434354, -0.3317092210281549, 0.023972681703659276, -0.3343872577179132, -0.09336081335162062, 0.19669768277828287, -0.011795561153032794, 0.00400666207452759, -0.03386388897396079, -0.04258152082698738, -0.0996878025229884, -0.24088392390801414, 0.2859439978648613, 0.08689944989263738, 0.3306945943267925, 0.16834958320449492, 0.09596060621892898, 0.0033278680639341474, 0.07743410414039362, -0.027453458708960835, -0.1460939795379534, 0.07148465849232019, 0.2272791004648841, -0.021402433931986552, 0.25955073903428344, -0.5037590830200692, -0.2214903787755203, -0.01649592988897206, 0.14388101388382293, 0.08926421324807651, -0.1409772259776662, -0.21109530806723165, 0.023739330633827372, -0.12448775482068701, -0.059398394075176886, 0.06169428602968365, 0.007251462701810297, -0.034034338296339964, -0.22473633784528185, 0.1038872082376989, -0.004479308039086257, 0.11944109579355161, -0.1355748905036485, -0.06739495034193302, -0.08111110103327962, 0.09383576053546787, 0.09693222209845283, 0.039515458422190536, 0.21255761170873372, -0.09352132764349623, -0.08895777171000657, 0.310009168937984, -0.03413055499833895, -0.1019462888418674, 0.24807675755242023, -0.23364408579995719, -0.04483144289654929, 0.18486927360830055, 0.17378082798748481, 0.08052872424723762, -0.15882504397503486, 0.08033904810180524, -0.0571176446292822, 0.21251985528392764, 0.1559171252514849, 0.06687223654035933, 0.26856204033715697, 0.15773808981132945, 0.05248930356635644, 0.10204569077709826, -0.21328284112997808, 0.018531789321724963, -0.19707304516398325, -0.19175364643977047, -0.18657535336565273, 0.0638235361065443, -0.020928852293830614, -0.1663508678718311, 0.4057224552351527, 0.11066822665204044, 0.21281235853618966, -0.11091775954104732, 0.27887546604998953, 0.09247554572889717, 0.0558530364537657, 0.008301806374930026, 0.2135151096778672, 0.12169459306566817, 0.1380946256842169, -0.22957667419346187, 0.12363332759222674, -0.007160141896570056] |
712.0224 | Characteristic molecular properties of one-electron double quantum rings
under magnetic fields | The molecular states of conduction electrons in laterally coupled quantum
rings are investigated theoretically. The states are shown to have a distinct
magnetic field dependence, which gives rise to periodic fluctuations of the
tunnel splitting and ring angular momentum in the vicinity of the ground state
crossings. The origin of these effects can be traced back to the Aharonov-Bohm
oscillations of the energy levels, along with the quantum mechanical tunneling
between the rings. We propose a setup using double quantum rings which shows
that Aharonov-Bohm effects can be observed even if the net magnetic flux
trapped by the carriers is zero.
| cond-mat.mes-hall | the molecular states of conduction electrons in laterally coupled quantum rings are investigated theoretically the states are shown to have a distinct magnetic field dependence which gives rise to periodic fluctuations of the tunnel splitting and ring angular momentum in the vicinity of the ground state crossings the origin of these effects can be traced back to the aharonovbohm oscillations of the energy levels along with the quantum mechanical tunneling between the rings we propose a setup using double quantum rings which shows that aharonovbohm effects can be observed even if the net magnetic flux trapped by the carriers is zero | [['the', 'molecular', 'states', 'of', 'conduction', 'electrons', 'in', 'laterally', 'coupled', 'quantum', 'rings', 'are', 'investigated', 'theoretically', 'the', 'states', 'are', 'shown', 'to', 'have', 'a', 'distinct', 'magnetic', 'field', 'dependence', 'which', 'gives', 'rise', 'to', 'periodic', 'fluctuations', 'of', 'the', 'tunnel', 'splitting', 'and', 'ring', 'angular', 'momentum', 'in', 'the', 'vicinity', 'of', 'the', 'ground', 'state', 'crossings', 'the', 'origin', 'of', 'these', 'effects', 'can', 'be', 'traced', 'back', 'to', 'the', 'aharonovbohm', 'oscillations', 'of', 'the', 'energy', 'levels', 'along', 'with', 'the', 'quantum', 'mechanical', 'tunneling', 'between', 'the', 'rings', 'we', 'propose', 'a', 'setup', 'using', 'double', 'quantum', 'rings', 'which', 'shows', 'that', 'aharonovbohm', 'effects', 'can', 'be', 'observed', 'even', 'if', 'the', 'net', 'magnetic', 'flux', 'trapped', 'by', 'the', 'carriers', 'is', 'zero']] | [-0.2252893094607343, 0.22662506093464718, -0.08683467938076003, 0.07303604153146286, 0.010224832590706277, -0.1315763765521864, 0.008863856518032526, 0.34828277530683444, -0.2982243843708593, -0.29753998017842226, -0.02271509564039067, -0.27463464121712317, -0.08842271517058557, 0.17555870483675512, 0.011598231929059297, -0.037638272412379485, 0.03228339989033371, 0.009670368617050128, -0.0518806484737664, -0.1973543275380507, 0.30536954810308053, 0.06019494916879489, 0.28074889453957874, 0.08727057179952465, 0.052588044444449464, -0.03893255846952964, 0.10119334897164735, 0.07207900951478151, -0.11506457173210478, 0.051190777159627936, 0.20186781380463872, -0.07831571918755474, 0.20077730303095415, -0.5131699500587021, -0.17288518202776956, 0.07282655581942585, 0.16985155902987364, 0.15698758439197769, -0.03833986559679898, -0.3097820626756195, 0.03413992840796709, -0.12651502748600918, -0.1347660409265871, -0.0711155490152132, 0.010696873028467566, 0.04066705653019766, -0.21373064938637584, 0.09467585581253365, 0.04705167546324284, 0.04350305983962694, -0.05235189376491131, -0.05731581523380528, -0.06275456448980045, 0.09215723547051743, 0.023807778770085608, -0.0023756378772899064, 0.18620788968527818, -0.09104071643277264, -0.15766002240102037, 0.33742284462187844, -0.07052784568703926, -0.15436759669481231, 0.15015444368824804, -0.22069821338224602, 0.008036716453878595, 0.18203559969690178, 0.08692510491513675, 0.0706150658465553, -0.108107863886064, 0.08896743514434444, -0.03376283373056662, 0.09986604264208881, 0.06634182709103248, 0.10630187020166823, 0.32912985001238854, 0.0791104596896595, 0.05564512646933418, 0.169580500220216, -0.17693785844499818, -0.11928892940845304, -0.26524121930251027, -0.16014970415778976, -0.17679340954141526, 0.12716384836481792, 0.026161164870758837, -0.17837962026951032, 0.4400285198768177, 0.10171160515453113, 0.20681789154555685, -0.09093498833717244, 0.2807677704610373, 0.16700821272143634, 0.09402424583469729, 0.07130799844450696, 0.26488946648291545, 0.2305287975993118, 0.07912184790440716, -0.3283994852583671, 0.010987419658109988, -0.009332041896990325] |
712.0225 | Residual Coulomb interaction fluctuations in chaotic systems: the
boundary, random plane waves, and semiclassical theory | New fluctuation properties arise in problems where both spatial integration
and energy summation are necessary ingredients. The quintessential example is
given by the short-range approximation to the first order ground state
contribution of the residual Coulomb interaction. The dominant features come
from the region near the boundary where there is an interplay between Friedel
oscillations and fluctuations in the eigenstates. Quite naturally, the
fluctuation scale is significantly enhanced for Neumann boundary conditions as
compared to Dirichlet. Elements missing from random plane wave modeling of
chaotic eigenstates lead surprisingly to significant errors, which can be
corrected within a purely semiclassical approach.
| cond-mat.mes-hall | new fluctuation properties arise in problems where both spatial integration and energy summation are necessary ingredients the quintessential example is given by the shortrange approximation to the first order ground state contribution of the residual coulomb interaction the dominant features come from the region near the boundary where there is an interplay between friedel oscillations and fluctuations in the eigenstates quite naturally the fluctuation scale is significantly enhanced for neumann boundary conditions as compared to dirichlet elements missing from random plane wave modeling of chaotic eigenstates lead surprisingly to significant errors which can be corrected within a purely semiclassical approach | [['new', 'fluctuation', 'properties', 'arise', 'in', 'problems', 'where', 'both', 'spatial', 'integration', 'and', 'energy', 'summation', 'are', 'necessary', 'ingredients', 'the', 'quintessential', 'example', 'is', 'given', 'by', 'the', 'shortrange', 'approximation', 'to', 'the', 'first', 'order', 'ground', 'state', 'contribution', 'of', 'the', 'residual', 'coulomb', 'interaction', 'the', 'dominant', 'features', 'come', 'from', 'the', 'region', 'near', 'the', 'boundary', 'where', 'there', 'is', 'an', 'interplay', 'between', 'friedel', 'oscillations', 'and', 'fluctuations', 'in', 'the', 'eigenstates', 'quite', 'naturally', 'the', 'fluctuation', 'scale', 'is', 'significantly', 'enhanced', 'for', 'neumann', 'boundary', 'conditions', 'as', 'compared', 'to', 'dirichlet', 'elements', 'missing', 'from', 'random', 'plane', 'wave', 'modeling', 'of', 'chaotic', 'eigenstates', 'lead', 'surprisingly', 'to', 'significant', 'errors', 'which', 'can', 'be', 'corrected', 'within', 'a', 'purely', 'semiclassical', 'approach']] | [-0.1400150713417679, 0.16472831425853657, -0.1013868627185002, 0.13317837495706045, -0.0455651335674338, -0.11321904372191056, 0.006534911242779344, 0.28280512266792357, -0.31670930232852695, -0.2685890959855169, 0.0700079770735465, -0.3070578206703067, -0.13080916456878186, 0.1581478880252689, -0.016062390129372942, 0.03365164623886813, 0.06663630169117823, 0.005311675984412432, -0.07341215818538331, -0.1527773297112435, 0.3371504359599203, 0.05471942659467459, 0.2801464506331831, 0.06667517487891018, 0.02627634936477989, -0.022023316307459028, 0.036485081911087035, 0.02481982234399766, -0.08143633082640007, 0.07299736394546925, 0.24515521778783295, -0.01043889464926906, 0.23537692375481128, -0.45740327298641204, -0.22135990180075168, 0.09691949531901628, 0.17290130909066648, 0.12306472480646334, -0.020593826994299888, -0.2987701553571969, 0.02666729351505637, -0.14660858494229614, -0.11815995065029711, -0.07946236731717363, 0.0029110509250313043, -0.004030917239142582, -0.3109914912283421, 0.1675715530104935, 0.05925001081312075, 0.024317149892449378, -0.07909076828509569, -0.12112254754174501, -0.0227574828825891, 0.14136148151475936, 0.06274251301772893, 0.015361715484177694, 0.0956569743109867, -0.13302157803904266, -0.06654491140972824, 0.3797116702049971, -0.0487779246608261, -0.20368730502203106, 0.16693169447593392, -0.14085985380690544, -0.07806243124883622, 0.17178468592930585, 0.12831511497497558, 0.061789171469863506, -0.15189664904028177, 0.09423242778400891, 0.04506810356178903, 0.157361806826666, 0.06073620410403237, 0.06099097076803446, 0.20931333143264055, 0.10750132156070322, 0.08165325932670385, 0.13253061368013733, -0.0931316045532003, -0.1815593021735549, -0.35599828269332645, -0.06521556003019213, -0.2063721810944844, 0.03062111455525155, -0.09591997808747692, -0.1959563115052879, 0.3946016239692108, 0.15958912923932075, 0.21355494073126466, -0.02577674896339886, 0.2684824226424098, 0.16101408039976378, 0.06991481373086572, 0.04853341336012818, 0.24732621818780898, 0.15409196876731585, 0.08332638565567323, -0.23920041038654744, 0.04375420141499489, 0.06295654565561563] |
712.0226 | Detection of the lithium depletion boundary in the young open cluster IC
4665 | The so-called lithium depletion boundary (LDB) provides a secure and
independent tool for deriving the ages of young open clusters.In this context,
our goal is to determine membership for a sample of 147 photometrically
selected candidates of the young open cluster IC 4665 and to use confirmed
members to establish an age based on the LDB. Employing the FLAMES multi-object
spectrograph on VLT/UT2, we have obtained intermediate-resolution spectra of
the cluster candidates. The spectra were used to measure radial velocities and
to infer the presence of the Li I 670.8 nm doublet and Halpha emission. We have
identified 39 bona fide cluster members based on radial velocity, Halpha
emission, and Li absorption. The mean radial velocity of IC 4665 is found to be
vrad=-15.95 +/- 1.13 km/s. Confirmed cluster members display a sharp transition
in magnitude between stars with and without lithium, both in the Im vs. Im-z
and in the Ks vs. Im-Ks diagrams.From this boundary, we deduce a cluster age of
27.7^(+4.2)_(-3.5) +/- 1.1 +/- 2 Myr. IC 4665 is the fifth cluster for which an
LDB age has been determined, and it is the youngest cluster among these five.
Thus, the LDB is established from relatively bright stars still in the
contracting pre-main sequence phase. The mass of the boundary is M*=0.24 +/-
0.04 Msun. The LDB age agrees well with the ages derived from isochrone fitting
of both low and high mass, turn-off stars, a result similar to what is found in
the slightly older NGC 2547.
| astro-ph | the socalled lithium depletion boundary ldb provides a secure and independent tool for deriving the ages of young open clustersin this context our goal is to determine membership for a sample of 147 photometrically selected candidates of the young open cluster ic 4665 and to use confirmed members to establish an age based on the ldb employing the flames multiobject spectrograph on vltut2 we have obtained intermediateresolution spectra of the cluster candidates the spectra were used to measure radial velocities and to infer the presence of the li i 6708 nm doublet and halpha emission we have identified 39 bona fide cluster members based on radial velocity halpha emission and li absorption the mean radial velocity of ic 4665 is found to be vrad1595 113 kms confirmed cluster members display a sharp transition in magnitude between stars with and without lithium both in the im vs imz and in the ks vs imks diagramsfrom this boundary we deduce a cluster age of 27742_35 11 2 myr ic 4665 is the fifth cluster for which an ldb age has been determined and it is the youngest cluster among these five thus the ldb is established from relatively bright stars still in the contracting premain sequence phase the mass of the boundary is m024 004 msun the ldb age agrees well with the ages derived from isochrone fitting of both low and high mass turnoff stars a result similar to what is found in the slightly older ngc 2547 | [['the', 'socalled', 'lithium', 'depletion', 'boundary', 'ldb', 'provides', 'a', 'secure', 'and', 'independent', 'tool', 'for', 'deriving', 'the', 'ages', 'of', 'young', 'open', 'clustersin', 'this', 'context', 'our', 'goal', 'is', 'to', 'determine', 'membership', 'for', 'a', 'sample', 'of', '147', 'photometrically', 'selected', 'candidates', 'of', 'the', 'young', 'open', 'cluster', 'ic', '4665', 'and', 'to', 'use', 'confirmed', 'members', 'to', 'establish', 'an', 'age', 'based', 'on', 'the', 'ldb', 'employing', 'the', 'flames', 'multiobject', 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712.0227 | Interface waves in pre-stressed incompressible solids | We study incremental wave propagation for what is seemingly the simplest
boundary value problem, namely that constitued by the plane interface of a
semi-infinite solid. With a view to model loaded elastomers and soft tissues,
we focus on incompressible solids, subjected to large homogeneous static
deformations. The resulting strain-induced anisotropy complicates matters for
the incremental boundary value problem, but we transpose and take advantage of
powerful techniques and results from the linear anisotropic elastodynamics
theory. In particular we cover several situations where fully explicit secular
equations can be derived, including Rayleigh and Stoneley waves in principal
directions, and Rayleigh waves polarized in a principal plane or propagating in
any direction in a principal plane. We also discuss the merits of polynomial
secular equations with respect to more robust, but less transparent, exact
secular equations.
| cond-mat.mtrl-sci | we study incremental wave propagation for what is seemingly the simplest boundary value problem namely that constitued by the plane interface of a semiinfinite solid with a view to model loaded elastomers and soft tissues we focus on incompressible solids subjected to large homogeneous static deformations the resulting straininduced anisotropy complicates matters for the incremental boundary value problem but we transpose and take advantage of powerful techniques and results from the linear anisotropic elastodynamics theory in particular we cover several situations where fully explicit secular equations can be derived including rayleigh and stoneley waves in principal directions and rayleigh waves polarized in a principal plane or propagating in any direction in a principal plane we also discuss the merits of polynomial secular equations with respect to more robust but less transparent exact secular equations | [['we', 'study', 'incremental', 'wave', 'propagation', 'for', 'what', 'is', 'seemingly', 'the', 'simplest', 'boundary', 'value', 'problem', 'namely', 'that', 'constitued', 'by', 'the', 'plane', 'interface', 'of', 'a', 'semiinfinite', 'solid', 'with', 'a', 'view', 'to', 'model', 'loaded', 'elastomers', 'and', 'soft', 'tissues', 'we', 'focus', 'on', 'incompressible', 'solids', 'subjected', 'to', 'large', 'homogeneous', 'static', 'deformations', 'the', 'resulting', 'straininduced', 'anisotropy', 'complicates', 'matters', 'for', 'the', 'incremental', 'boundary', 'value', 'problem', 'but', 'we', 'transpose', 'and', 'take', 'advantage', 'of', 'powerful', 'techniques', 'and', 'results', 'from', 'the', 'linear', 'anisotropic', 'elastodynamics', 'theory', 'in', 'particular', 'we', 'cover', 'several', 'situations', 'where', 'fully', 'explicit', 'secular', 'equations', 'can', 'be', 'derived', 'including', 'rayleigh', 'and', 'stoneley', 'waves', 'in', 'principal', 'directions', 'and', 'rayleigh', 'waves', 'polarized', 'in', 'a', 'principal', 'plane', 'or', 'propagating', 'in', 'any', 'direction', 'in', 'a', 'principal', 'plane', 'we', 'also', 'discuss', 'the', 'merits', 'of', 'polynomial', 'secular', 'equations', 'with', 'respect', 'to', 'more', 'robust', 'but', 'less', 'transparent', 'exact', 'secular', 'equations']] | [-0.1735534733957856, 0.11692881919233535, -0.06591667064738677, 0.01842726133693766, -0.13943113377177738, -0.12990737628345764, -0.025177384633045728, 0.3776772472223169, -0.3055512193972035, -0.19873599142853268, 0.11399744960384905, -0.24857542842199423, -0.18654569971403176, 0.18825549635461958, -0.020196029793863233, 0.07373818025497117, 0.044364542817640906, -0.03944046598862633, -0.09409780786206413, -0.18164987676983518, 0.31765675590254533, -0.00045840974540022533, 0.270606304049716, 0.0034547943037171337, 0.0977665776582925, 0.05612288800390311, 0.006719363023547974, 0.06532097361015535, -0.15532429454809, 0.0842777789304299, 0.2800284465844918, 0.025790623896860314, 0.22826582630676098, -0.5070048830142819, -0.22755552449130587, 0.06881612506379983, 0.14203707275464011, 0.14744758309404316, -0.007394713188256347, -0.24816270286735512, 0.03575173431142632, -0.12480996817672499, -0.18899180258865403, -0.0460463352676453, 0.025805602705323213, -0.000831917801843886, -0.24320690169986478, 0.10570949226371854, 0.08057592835459382, 0.0665074153558204, -0.10857406459552676, -0.10759553099331215, -0.016864335630089045, 0.0339460353965738, 0.08362045269231907, 0.0013899594366802532, 0.10106265028112364, -0.14145596193751894, -0.07115107249202472, 0.4226541160570836, -0.055784261129845525, -0.2671120103126518, 0.1863747912763681, -0.1174597195251162, -0.09273472377379194, 0.16848225067929834, 0.2201350547523847, 0.1220441300779077, -0.10948514577248168, 0.07514294586100623, -0.02824882350507966, 0.15062290778439633, 0.09957992136863557, -0.03290351666510105, 0.1961685335543707, 0.10798490160193883, 0.0744715249568532, 0.16549108771316678, -0.05744286971271766, -0.10300558585939663, -0.2854039904878552, -0.13516330295084814, -0.1090259254985328, 0.03185739692445421, -0.12045541339100048, -0.20308433048763222, 0.36790056605788324, 0.14090046713555834, 0.14593378040778512, 0.021354626948223973, 0.3097179161797845, 0.12628228771692857, 0.004190670634458836, 0.08283306322501678, 0.26705675778465865, 0.174031735203558, 0.0881457546886925, -0.19092664745884871, 0.03167988935177375, 0.051275162969862946] |
712.0228 | Generalized double extension and descriptions of qadratic Lie
superalgebras | A Lie superalgebra endowed with a supersymmetric, even, non-degenerate,
invariant bilinear form is called a quadratic Lie superalgebra. In this paper
we give inductive descriptions of quadratic Lie superalgebras in terms of
generalized double extensions.
| math-ph math.MP math.RA | a lie superalgebra endowed with a supersymmetric even nondegenerate invariant bilinear form is called a quadratic lie superalgebra in this paper we give inductive descriptions of quadratic lie superalgebras in terms of generalized double extensions | [['a', 'lie', 'superalgebra', 'endowed', 'with', 'a', 'supersymmetric', 'even', 'nondegenerate', 'invariant', 'bilinear', 'form', 'is', 'called', 'a', 'quadratic', 'lie', 'superalgebra', 'in', 'this', 'paper', 'we', 'give', 'inductive', 'descriptions', 'of', 'quadratic', 'lie', 'superalgebras', 'in', 'terms', 'of', 'generalized', 'double', 'extensions']] | [-0.2530606459294047, 0.05153501297214202, 0.009061203364815031, 0.10490686638014657, -0.2745233042165637, -0.24141287123784422, -0.07411541541971799, 0.29324673627104075, -0.28628380224108696, -0.16182794515043497, 0.08228596357096518, -0.1954938634431788, -0.24732175400214537, 0.16730788424611093, -0.15733540326889073, -0.12657709307968618, 0.02146148344368807, 0.21898025069385768, -0.22387834654987923, -0.254061120642083, 0.41480906741427526, -0.052144709725065956, 0.141237502012934, -0.05201671602470534, 0.21262670545173543, 0.022476227900811604, 0.10236341197575842, -0.05192087609320879, -0.1141444854704397, 0.1743509755868997, 0.36179333701729777, -0.02513937976743494, 0.14899783874196665, -0.35170594810375144, -0.04583527287468314, 0.22298167017953738, 0.19420079755197678, -0.013156188146344254, -0.0699761366205556, -0.2463247299194336, 0.056073461399812785, -0.29064202095781055, -0.15204215001847063, -0.07267686216426747, 0.0007410494244790502, -0.10472483853144306, -0.2648595746074404, 0.0708318422681519, 0.14514902931904153, 0.15450141475136792, -0.128380193002522, -0.08981152373099965, -0.01988508121243545, -0.10229956160432525, -0.12203471610721733, 0.0130105445427554, 0.1346886013767549, -0.07498221646861307, -0.24670357858496053, 0.37289930752345496, -0.06410463726414102, -0.3438586791711194, 0.07756166455468962, -0.15841632349682705, -0.23804175832441876, 0.06774021621261324, 0.09581646589296204, 0.15374826568045785, -0.16089649870991707, 0.334346416965127, -0.14034316247063025, -0.09263045223695891, 0.08515300146703209, 0.03730704643364464, 0.1968507995063971, 0.11410812764827694, 0.0453954971528479, 0.17406542178775583, 0.14752227632062775, -0.08020221314259939, -0.45876664149441887, -0.18847042908226805, -0.027785246513251746, 0.166107199281188, -0.10213815354342971, -0.20392288139888218, 0.45569854008166916, 0.03736089358904532, 0.20491528492420913, 0.20546069520392587, 0.15450075002653257, 0.17817117672945773, 0.20803082532116346, 0.04083325152418443, 0.13110391202249697, 0.31462246041212766, -0.060542957704248175, -0.10295606666643704, -0.18129048025501626, 0.23238174713083676] |
712.0229 | Creep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic
solid | We present a constitutive model capturing some of the experimentally observed
features of soft biological tissues: nonlinear viscoelasticity, nonlinear
elastic anisotropy, and nonlinear viscous anisotropy. For this model we derive
the equation governing rectilinear shear motion in the plane of the fiber
reinforcement; it is a nonlinear partial differential equation for the shear
strain. Specializing the equation to the quasi-static processes of creep and
recovery, we find that usual (exponential-like) time growth and decay exist in
general, but that for certain ranges of values for the material parameters and
for the angle between the shearing direction and the fiber direction, some
anomalous behaviors emerge. These include persistence of a nonzero strain in
the recovery experiment, strain growth in recovery, strain decay in creep,
disappearance of the solution after a finite time, and similar odd
comportments. For the full dynamical equation of motion, we find kink
(traveling wave) solutions which cannot reach their assigned asymptotic limit.
| cond-mat.soft | we present a constitutive model capturing some of the experimentally observed features of soft biological tissues nonlinear viscoelasticity nonlinear elastic anisotropy and nonlinear viscous anisotropy for this model we derive the equation governing rectilinear shear motion in the plane of the fiber reinforcement it is a nonlinear partial differential equation for the shear strain specializing the equation to the quasistatic processes of creep and recovery we find that usual exponentiallike time growth and decay exist in general but that for certain ranges of values for the material parameters and for the angle between the shearing direction and the fiber direction some anomalous behaviors emerge these include persistence of a nonzero strain in the recovery experiment strain growth in recovery strain decay in creep disappearance of the solution after a finite time and similar odd comportments for the full dynamical equation of motion we find kink traveling wave solutions which cannot reach their assigned asymptotic limit | [['we', 'present', 'a', 'constitutive', 'model', 'capturing', 'some', 'of', 'the', 'experimentally', 'observed', 'features', 'of', 'soft', 'biological', 'tissues', 'nonlinear', 'viscoelasticity', 'nonlinear', 'elastic', 'anisotropy', 'and', 'nonlinear', 'viscous', 'anisotropy', 'for', 'this', 'model', 'we', 'derive', 'the', 'equation', 'governing', 'rectilinear', 'shear', 'motion', 'in', 'the', 'plane', 'of', 'the', 'fiber', 'reinforcement', 'it', 'is', 'a', 'nonlinear', 'partial', 'differential', 'equation', 'for', 'the', 'shear', 'strain', 'specializing', 'the', 'equation', 'to', 'the', 'quasistatic', 'processes', 'of', 'creep', 'and', 'recovery', 'we', 'find', 'that', 'usual', 'exponentiallike', 'time', 'growth', 'and', 'decay', 'exist', 'in', 'general', 'but', 'that', 'for', 'certain', 'ranges', 'of', 'values', 'for', 'the', 'material', 'parameters', 'and', 'for', 'the', 'angle', 'between', 'the', 'shearing', 'direction', 'and', 'the', 'fiber', 'direction', 'some', 'anomalous', 'behaviors', 'emerge', 'these', 'include', 'persistence', 'of', 'a', 'nonzero', 'strain', 'in', 'the', 'recovery', 'experiment', 'strain', 'growth', 'in', 'recovery', 'strain', 'decay', 'in', 'creep', 'disappearance', 'of', 'the', 'solution', 'after', 'a', 'finite', 'time', 'and', 'similar', 'odd', 'comportments', 'for', 'the', 'full', 'dynamical', 'equation', 'of', 'motion', 'we', 'find', 'kink', 'traveling', 'wave', 'solutions', 'which', 'can', 'not', 'reach', 'their', 'assigned', 'asymptotic', 'limit']] | [-0.16919573519469028, 0.16378307456090566, -0.08855341888603664, 0.0327095519871481, -0.09538568455872366, -0.12009288657591828, -0.014268999085611394, 0.3398609442996883, -0.3432612463456368, -0.22708313010873332, 0.08508637825312514, -0.2493136256332359, -0.17265341368845605, 0.17905407511148483, 0.03325028354001622, 0.10110981112520676, 0.02023615629727682, 0.0011899093796889628, -0.05356583979221121, -0.1788994393221313, 0.2576756820052622, -0.01511532043016726, 0.2973227032310059, 0.014133832833707153, 0.11484271146417145, 0.017881437586320024, 0.027846592908064204, 0.0386357830657113, -0.22738469430863212, 0.036997905860264454, 0.22661157540015636, 0.008448475205730046, 0.22082970326225604, -0.4536690216992171, -0.24816054861632086, 0.0771232987303407, 0.11955053525706452, 0.15306931228842585, -0.02810087333613586, -0.23379770805758815, 0.04207514773213094, -0.11374739316712705, -0.17354767737729895, -0.06906055769612712, 0.05680649080539062, 0.0527041913077776, -0.26720540773258694, 0.19023426533526472, 0.08321570187202475, 0.04314033934290731, -0.15821214662414165, -0.04943524867882051, -0.03758672910081523, 0.07424091056530033, 0.1136021348767944, -0.01986222000672452, 0.14522548932281712, -0.19494743073629517, -0.04542006376620022, 0.37942760877551573, -0.05446502921833833, -0.2100871906585751, 0.13497242571245277, -0.18848939032233772, -0.08459586032793948, 0.1917434484367409, 0.20455511673503826, 0.085065288216837, -0.1353751560913459, 0.03722785885010155, 0.009129980352290365, 0.1267326293152667, 0.11147665406667417, -0.009651497491229807, 0.1521266960779265, 0.1864459070647436, 0.04978076057929185, 0.11477570633494084, -0.09316953779357831, -0.07436230957748428, -0.3529751792880556, -0.15063929631705245, -0.12007945885716546, 0.07068713554819565, -0.1535921218838813, -0.19807287032806103, 0.39857252945883137, 0.11702116425299357, 0.17490974150808347, 0.08457276723122284, 0.23037633427133364, 0.14951095133719425, 0.02687834751371655, 0.045938231676982175, 0.316048909563406, 0.15088492447900917, 0.14667425558812194, -0.2888134729533997, 0.0880828216348985, 0.051152491196990016] |
712.023 | Experimental test of uncertainty relations for quantum mechanics on a
circle | We rederive uncertainty relations for the angular position and momentum of a
particle on a circle by employing the exponential of the angle instead of the
angle itself, which leads to circular variance as a natural measure of
resolution. Intelligent states minimizing the uncertainty product under the
constraint of a given uncertainty in angle or in angular momentum turn out to
be given by Mathieu wave functions. We also discuss a number of physically
feasible approximations to these optimal states. The theory is applied to the
orbital angular momentum of a beam of photons and verified in an experiment
that employs computer-controlled spatial light modulators both at the state
preparation and analyzing stages.
| quant-ph | we rederive uncertainty relations for the angular position and momentum of a particle on a circle by employing the exponential of the angle instead of the angle itself which leads to circular variance as a natural measure of resolution intelligent states minimizing the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum turn out to be given by mathieu wave functions we also discuss a number of physically feasible approximations to these optimal states the theory is applied to the orbital angular momentum of a beam of photons and verified in an experiment that employs computercontrolled spatial light modulators both at the state preparation and analyzing stages | [['we', 'rederive', 'uncertainty', 'relations', 'for', 'the', 'angular', 'position', 'and', 'momentum', 'of', 'a', 'particle', 'on', 'a', 'circle', 'by', 'employing', 'the', 'exponential', 'of', 'the', 'angle', 'instead', 'of', 'the', 'angle', 'itself', 'which', 'leads', 'to', 'circular', 'variance', 'as', 'a', 'natural', 'measure', 'of', 'resolution', 'intelligent', 'states', 'minimizing', 'the', 'uncertainty', 'product', 'under', 'the', 'constraint', 'of', 'a', 'given', 'uncertainty', 'in', 'angle', 'or', 'in', 'angular', 'momentum', 'turn', 'out', 'to', 'be', 'given', 'by', 'mathieu', 'wave', 'functions', 'we', 'also', 'discuss', 'a', 'number', 'of', 'physically', 'feasible', 'approximations', 'to', 'these', 'optimal', 'states', 'the', 'theory', 'is', 'applied', 'to', 'the', 'orbital', 'angular', 'momentum', 'of', 'a', 'beam', 'of', 'photons', 'and', 'verified', 'in', 'an', 'experiment', 'that', 'employs', 'computercontrolled', 'spatial', 'light', 'modulators', 'both', 'at', 'the', 'state', 'preparation', 'and', 'analyzing', 'stages']] | [-0.15210479482044095, 0.15461811648830628, -0.11729603704576076, 0.06667276023190666, -0.057392690561513984, -0.08331802047261622, 0.07793969902997029, 0.3676867772025608, -0.2634698043668033, -0.319578662456994, 0.07199647702973139, -0.2387264149069819, -0.04971707104787692, 0.21628065490827328, -0.04871072112458997, 0.09637566825912738, 0.05747093805894915, 0.00679543543508095, -0.09665810186992836, -0.14980900163177105, 0.3361893612108465, 0.10719781261827566, 0.25510740552542616, 0.02445422547026661, 0.18252579997648047, 0.0660075158160489, -0.03251285600451242, 0.01848012531192693, -0.10691186854240033, 0.10981590943967313, 0.21972213860650638, 0.10365684922533192, 0.22881205554688927, -0.3930440598653745, -0.16668887910396024, 0.07510058754391606, 0.11978367228159863, 0.09613555497840146, -0.01591749700606364, -0.2602216010105557, -0.021883893086352444, -0.15017066308115898, -0.19101207441262966, -0.06152509310307492, 0.03444212259296163, 0.02422206726057076, -0.27334390781753887, 0.07850547926886774, 0.039466594446829595, 0.02566898126666129, -0.017669638668277622, -0.10639300051483169, -0.0523163722374732, 0.07605272551495747, 0.04470774349220823, 0.04976463689988034, 0.12435525143519044, -0.1237703171369117, -0.10927322499486988, 0.3573767941329727, -0.02273384074008801, -0.26620326118659127, 0.0955179948792422, -0.16697960321838345, -0.06723003363055466, 0.11923975530245333, 0.1876710487150513, 0.10872759888426656, -0.1280058945685757, 0.02989459739826966, -0.03591409919820046, 0.18547315195005024, 0.12167728543940899, 0.07669229502583631, 0.23327455666344776, 0.11529602709564224, 0.09177399785706024, 0.1351265477962314, -0.13297025721511943, -0.09741823946175256, -0.2990007899635661, -0.16214474457917752, -0.20377189455867079, 0.04992218391052385, -0.08558781167084817, -0.09716410715693394, 0.40479173143682756, 0.11274962040257797, 0.21828961803421246, 0.037920358418734264, 0.30565343057093897, 0.14519460514843036, 0.058089471592122806, 0.03982214813770477, 0.26723375442990027, 0.1391936174461997, 0.08419748345406446, -0.2591378602644313, 0.03046337892177754, 0.029913177730235378] |
712.0231 | Product formulas for the cyclotomic v-Schur algebra and for the
canonical bases of the Fock space | In our earlier work, we have proved a product formula for certain
decomposition numbers of the cyclotomic v-Schur algebra associated to the
Ariki-Koike algebra. It is conjectured by Yvonne that the decomposition numbers
of this algebra can be described in terms of the canonical basis of the higher
level Fock space studied by Uglov. In this paper we prove a product formula
related to the canonical basis of the Fock space. In view of Yvonne's
conjecture, this formula is regarded as a counter-part for the Fock space of
our previous formula.
| math.RT math.QA | in our earlier work we have proved a product formula for certain decomposition numbers of the cyclotomic vschur algebra associated to the arikikoike algebra it is conjectured by yvonne that the decomposition numbers of this algebra can be described in terms of the canonical basis of the higher level fock space studied by uglov in this paper we prove a product formula related to the canonical basis of the fock space in view of yvonnes conjecture this formula is regarded as a counterpart for the fock space of our previous formula | [['in', 'our', 'earlier', 'work', 'we', 'have', 'proved', 'a', 'product', 'formula', 'for', 'certain', 'decomposition', 'numbers', 'of', 'the', 'cyclotomic', 'vschur', 'algebra', 'associated', 'to', 'the', 'arikikoike', 'algebra', 'it', 'is', 'conjectured', 'by', 'yvonne', 'that', 'the', 'decomposition', 'numbers', 'of', 'this', 'algebra', 'can', 'be', 'described', 'in', 'terms', 'of', 'the', 'canonical', 'basis', 'of', 'the', 'higher', 'level', 'fock', 'space', 'studied', 'by', 'uglov', 'in', 'this', 'paper', 'we', 'prove', 'a', 'product', 'formula', 'related', 'to', 'the', 'canonical', 'basis', 'of', 'the', 'fock', 'space', 'in', 'view', 'of', 'yvonnes', 'conjecture', 'this', 'formula', 'is', 'regarded', 'as', 'a', 'counterpart', 'for', 'the', 'fock', 'space', 'of', 'our', 'previous', 'formula']] | [-0.14816688310899093, 0.097066581667809, -0.1281945409902026, 0.06661200158564855, -0.05492895885548565, -0.03953150030372016, 0.007131098101198087, 0.29394260915310194, -0.28568495880665906, -0.24687013971839059, 0.08663383967588457, -0.1578013287370585, -0.18245939728333038, 0.21192631884111782, -0.1108209870211529, -0.0158198516648472, 0.06215303713518582, 0.0968384611723798, -0.10866636340506375, -0.25598899817115134, 0.38073319079500906, 0.0454470260026917, 0.25403911773157256, 0.011737689230685237, 0.1002921662554982, 0.030950697437138033, -0.0332984607248159, -0.026393787334660027, -0.12689292536869584, 0.18013902567327023, 0.2861149979315782, 0.13658990475265415, 0.23759528957935197, -0.3611505954955401, -0.1412369536780072, 0.15244833582991293, 0.1634256751433517, 0.0487579797300395, 0.030441131178561724, -0.2474861266091466, 0.06076232877035437, -0.2775906925246622, -0.18773714057431462, -0.10024645608546359, 0.04415825152706899, -0.03562091991012351, -0.2356343623878581, 0.04572674437436495, 0.09006961802376455, 0.061586566897255654, -0.09765666454318869, -0.14116440593066176, -0.050702598735983116, 0.045739320193134834, -0.017922556388788344, 0.07284426754974928, 0.028970185416133217, -0.09043266317869923, -0.155474119338343, 0.3518897981037585, -0.05023699963276976, -0.2398564572330941, 0.07088980888633915, -0.20012184172826872, -0.17599637657822517, 0.0708964421842875, 0.04352980353764855, 0.1507225250720643, -0.06064508048545444, 0.16814067757832674, -0.15545817462497213, 0.027101449673639588, 0.11814647547775105, 0.042044051833911224, 0.10503173434290658, 0.07381215167305108, 0.020439380876657167, 0.20664600768320138, 0.04413784100619155, -0.07318090340528072, -0.3353915768204613, -0.25131529918087, -0.2229273867782917, 0.10342328431440538, -0.08053989289851671, -0.16901442493322524, 0.36288691256090666, 0.1051602239636809, 0.1860298143616051, 0.07020986428630821, 0.2417446677102132, 0.20453845096485207, 0.10781593412014373, -0.010808132646417015, 0.16505264558337546, 0.2361803179805617, 0.035369198511647625, -0.1267280447704906, -0.0031821565085163946, 0.23460454628750516] |
712.0232 | Role of External Flow and Frame Invariance in Stochastic Thermodynamics | For configurational changes of soft matter systems affected or caused by
external hydrodynamic flow, we identify applied work, exchanged heat, and
entropy change on the level of a single trajectory. These expressions guarantee
invariance of stochastic thermodynamics under a change of frame of reference.
As criterion for equilibrium \textit{vs.} nonequilibrium, zero \textit{vs.}
nonzero applied work replaces detailed balance \textit{vs.} nonvanishing
currents, since both latter criteria are shown to depend on the frame of
reference. Our results are illustrated quantitatively by calculating the large
deviation function for the entropy production of a dumbbell in shear flow.
| cond-mat.soft | for configurational changes of soft matter systems affected or caused by external hydrodynamic flow we identify applied work exchanged heat and entropy change on the level of a single trajectory these expressions guarantee invariance of stochastic thermodynamics under a change of frame of reference as criterion for equilibrium textitvs nonequilibrium zero textitvs nonzero applied work replaces detailed balance textitvs nonvanishing currents since both latter criteria are shown to depend on the frame of reference our results are illustrated quantitatively by calculating the large deviation function for the entropy production of a dumbbell in shear flow | [['for', 'configurational', 'changes', 'of', 'soft', 'matter', 'systems', 'affected', 'or', 'caused', 'by', 'external', 'hydrodynamic', 'flow', 'we', 'identify', 'applied', 'work', 'exchanged', 'heat', 'and', 'entropy', 'change', 'on', 'the', 'level', 'of', 'a', 'single', 'trajectory', 'these', 'expressions', 'guarantee', 'invariance', 'of', 'stochastic', 'thermodynamics', 'under', 'a', 'change', 'of', 'frame', 'of', 'reference', 'as', 'criterion', 'for', 'equilibrium', 'textitvs', 'nonequilibrium', 'zero', 'textitvs', 'nonzero', 'applied', 'work', 'replaces', 'detailed', 'balance', 'textitvs', 'nonvanishing', 'currents', 'since', 'both', 'latter', 'criteria', 'are', 'shown', 'to', 'depend', 'on', 'the', 'frame', 'of', 'reference', 'our', 'results', 'are', 'illustrated', 'quantitatively', 'by', 'calculating', 'the', 'large', 'deviation', 'function', 'for', 'the', 'entropy', 'production', 'of', 'a', 'dumbbell', 'in', 'shear', 'flow']] | [-0.14884976207548262, 0.14140188861148137, -0.11069407102676403, 0.0653660132892822, -0.01676449808047006, -0.15023022540599892, 0.05518155614845455, 0.2993518392016229, -0.26714491247150457, -0.2851027974270676, 0.04253686707540366, -0.26618809029459956, -0.0966159277963207, 0.18587655439531725, -0.05807846582641727, 0.09180724046340114, 0.04307670186053177, 0.05215776691605386, -0.07359142396599054, -0.1744766457496505, 0.2920630035921931, 0.06678238433638686, 0.3403160593717506, 0.08304501239786316, 0.12248387459265742, 0.025671560851562965, -0.06212772543872952, 0.09808703762368838, -0.16815130478751503, 0.061699564869616697, 0.1761511049233377, 0.03886983061307355, 0.2042704648877445, -0.42345982766465134, -0.2410123977785636, 0.0823458190517206, 0.07618419814481106, 0.10914433720570646, -0.031756899993572583, -0.2262298295078309, 0.06268772077991774, -0.17001459056413487, -0.11964431110965579, -0.1338314852946879, 0.010503914236630264, 0.05171231451983514, -0.26575467655631274, 0.17463385573049126, 0.07692460537348923, 0.112913866990589, -0.10722680762655248, -0.0739327469350476, -0.07370391133437423, 0.1250577573198825, 0.09224736595918473, 0.03434108163775435, 0.2506304920822578, -0.11923673034792667, -0.05370957880329929, 0.37659973207076913, -0.09806904389130834, -0.24586712155295046, 0.1572673019144292, -0.12912602852049626, -0.12575275612210757, 0.12440164692111705, 0.15723949473743376, 0.12397611323547991, -0.17669798913166712, 0.03592906697395895, 0.03547392528700201, 0.1209636222840728, 0.10002063184388374, 0.002904139269805072, 0.2295081749068279, 0.089968534907032, 0.05939733263129662, 0.1731006323335398, -0.0398736720757657, -0.165237164262094, -0.3771002795351179, -0.1389474865514785, -0.21113436183843173, 0.052034931654404655, -0.05974596055503322, -0.16242927760958034, 0.35722157077275607, 0.11082062222504695, 0.1795670206401203, 0.030087016098887514, 0.27503890512805235, 0.14955049614471042, 0.012885758058607614, 0.06540563423676711, 0.27257866490338195, 0.14197682871875403, 0.1408928142860532, -0.28193049923467794, 0.10576909599139502, 0.07735941975720619] |
712.0233 | On completing three cyclic transversals to a latin square | Let $P$ be a partial latin square of prime order $p>7$ consisting of three
cyclically generated transversals. Specifically, let $P$ be a partial latin
square of the form: \[ P=\{(i,c+i,s+i),(i,c'+i,s'+i),(i,c''+i,s''+i)\mid 0 \leq
i< p\} \] for some distinct $c,c',c''$ and some distinct $s,s',s''$. In this
paper we show that any such $P$ completes to a latin square which is diagonally
cyclic.
| math.CO | let p be a partial latin square of prime order p7 consisting of three cyclically generated transversals specifically let p be a partial latin square of the form picisiicisiicisimid 0 leq i p for some distinct ccc and some distinct sss in this paper we show that any such p completes to a latin square which is diagonally cyclic | [['let', 'p', 'be', 'a', 'partial', 'latin', 'square', 'of', 'prime', 'order', 'p7', 'consisting', 'of', 'three', 'cyclically', 'generated', 'transversals', 'specifically', 'let', 'p', 'be', 'a', 'partial', 'latin', 'square', 'of', 'the', 'form', 'picisiicisiicisimid', '0', 'leq', 'i', 'p', 'for', 'some', 'distinct', 'ccc', 'and', 'some', 'distinct', 'sss', 'in', 'this', 'paper', 'we', 'show', 'that', 'any', 'such', 'p', 'completes', 'to', 'a', 'latin', 'square', 'which', 'is', 'diagonally', 'cyclic']] | [-0.2409133639965399, 0.1686675782829266, -0.013061485189045298, -0.028031125793169284, -0.06699337941947682, -0.1659783813861552, -0.030361630823382914, 0.3177114551373083, -0.3293826827650954, -0.19262636485027856, 0.13850211790273095, -0.35457992817050427, -0.14674060417596121, 0.10225787550082495, -0.07012409444673565, -0.07102920577042447, 0.015752251962488837, 0.07960705237527346, -0.08152692711607007, -0.3457351140356783, 0.2987688951965036, -0.11149256535131356, 0.11650942302116289, -0.02243771226193499, 0.08393956891036239, 0.0051059203206336706, 0.019410774424864816, 0.056569146393830406, -0.2039630225071019, 0.04400248595930893, 0.3065495566818221, 0.13768908542034955, 0.2845744463326088, -0.3540138216560771, -0.08527236555478182, 0.2529116333783444, 0.1727000362528809, -0.0029786517301670693, 0.007841693638856041, -0.2060663272337667, 0.20005237942978996, -0.1791387952799941, -0.12796229491781058, 0.0078783151854215, 0.09929869462061545, 0.043911808748440494, -0.34831333092959793, -0.031020529712710916, 0.1688615981939024, 0.12411867049201553, 0.06752384648104359, -0.27588247596125665, 0.023888359633113802, 0.06882082140233753, -0.05854305434281584, 0.072229492470044, -0.08826896032029442, 0.020971338734319753, -0.15261166302109908, 0.41619138432473973, -0.03560425396727655, -0.17829613074467615, 0.042083522272777965, -0.23141602039786763, -0.14012004245586437, 0.18249523074462495, 0.15368224678818007, 0.0937406914629813, -0.038756252892700765, 0.11293948677685593, -0.17999280873557616, 0.16582490404232822, 0.13497800352694145, -0.059808316479983, 0.1267021753833276, 0.06341009349401655, 0.1000369746510967, 0.1442863411583199, -0.04158047060000485, 0.03147371768437583, -0.3628219908167576, -0.1864195440189335, -0.16870127138199992, 0.17272135144870343, -0.08232757691288937, -0.17920370467392535, 0.3710552126385978, 0.047562000277484286, 0.11872422000080154, 0.056783087513457724, 0.18482839190882855, 0.007714007949006969, -0.008558435526130528, 0.08605168256426937, -0.008681680118978217, 0.1576101969734862, -0.12824058465274243, -0.16055574981849, -0.025978780455951547, 0.12168433978061738] |
712.0234 | Temporal evolution of magnetic elements | We study the structure and evolution of the magnetic field of the quiet Sun
by investigating weak spectro-polarimetric signals. To this end, we observed a
quiet region close to the disk center with the German VTT in Tenerife, July 07,
2006. We recorded 38 scans of the same area. Each scan was eight arcsec wide
and observed within about 100 seconds. We used POLIS to simultaneously observe
Stokes profiles of the neutral iron lines at 630.15 and 630.25 nm, the Stokes-I
profile of the Ca II H line at 396.8 nm, and a continuum speckle channel at 500
nm. We witness two examples of magnetic flux cancellation of small-scale
opposite-polarity patches, followed by an enhanced chromospheric emission. In
each case, the two opposite-polarity patches gradually became smaller and,
within a few minutes, the smaller one completely disappeared. The larger patch
also diminished significantly. We provide evidence for a cancellation scenario
in the photosphere which leaves minor traces at the chromospheric level.
| astro-ph | we study the structure and evolution of the magnetic field of the quiet sun by investigating weak spectropolarimetric signals to this end we observed a quiet region close to the disk center with the german vtt in tenerife july 07 2006 we recorded 38 scans of the same area each scan was eight arcsec wide and observed within about 100 seconds we used polis to simultaneously observe stokes profiles of the neutral iron lines at 63015 and 63025 nm the stokesi profile of the ca ii h line at 3968 nm and a continuum speckle channel at 500 nm we witness two examples of magnetic flux cancellation of smallscale oppositepolarity patches followed by an enhanced chromospheric emission in each case the two oppositepolarity patches gradually became smaller and within a few minutes the smaller one completely disappeared the larger patch also diminished significantly we provide evidence for a cancellation scenario in the photosphere which leaves minor traces at the chromospheric level | [['we', 'study', 'the', 'structure', 'and', 'evolution', 'of', 'the', 'magnetic', 'field', 'of', 'the', 'quiet', 'sun', 'by', 'investigating', 'weak', 'spectropolarimetric', 'signals', 'to', 'this', 'end', 'we', 'observed', 'a', 'quiet', 'region', 'close', 'to', 'the', 'disk', 'center', 'with', 'the', 'german', 'vtt', 'in', 'tenerife', 'july', '07', '2006', 'we', 'recorded', '38', 'scans', 'of', 'the', 'same', 'area', 'each', 'scan', 'was', 'eight', 'arcsec', 'wide', 'and', 'observed', 'within', 'about', '100', 'seconds', 'we', 'used', 'polis', 'to', 'simultaneously', 'observe', 'stokes', 'profiles', 'of', 'the', 'neutral', 'iron', 'lines', 'at', '63015', 'and', '63025', 'nm', 'the', 'stokesi', 'profile', 'of', 'the', 'ca', 'ii', 'h', 'line', 'at', '3968', 'nm', 'and', 'a', 'continuum', 'speckle', 'channel', 'at', '500', 'nm', 'we', 'witness', 'two', 'examples', 'of', 'magnetic', 'flux', 'cancellation', 'of', 'smallscale', 'oppositepolarity', 'patches', 'followed', 'by', 'an', 'enhanced', 'chromospheric', 'emission', 'in', 'each', 'case', 'the', 'two', 'oppositepolarity', 'patches', 'gradually', 'became', 'smaller', 'and', 'within', 'a', 'few', 'minutes', 'the', 'smaller', 'one', 'completely', 'disappeared', 'the', 'larger', 'patch', 'also', 'diminished', 'significantly', 'we', 'provide', 'evidence', 'for', 'a', 'cancellation', 'scenario', 'in', 'the', 'photosphere', 'which', 'leaves', 'minor', 'traces', 'at', 'the', 'chromospheric', 'level']] | [-0.08109242069066404, 0.15541598857432873, 0.03214991995036206, 0.07621323379401626, -0.01645914894186898, -0.13513812235330944, 0.032163836109677546, 0.438452856626755, -0.21378492466564528, -0.37685635766326825, 0.09052827811050836, -0.2909636067324868, -0.032827389814098426, 0.13749873408503968, -0.0052464377666138085, -0.06828258867716845, 0.0605198706772109, -0.025135510391230343, -0.04816156829004494, -0.20109803394431838, 0.24228882167187538, 0.10770288825046664, 0.2644790374899503, 0.02658266403209071, 0.05908081092042357, -0.08610334088418471, -0.05200213501345574, 0.023438244680613743, -0.10799295283414377, 0.04277328301730178, 0.19549568452559968, 0.09506976023686599, 0.24452334083761348, -0.4172468409173607, -0.17479825602636112, 0.022231183758132763, 0.15500988514214661, 0.0592756642582566, 0.0023993932561058064, -0.30358159146560876, 0.1048191675253976, -0.07934463510331546, -0.12281213799688201, 0.1203917001564958, 0.0391971960480134, -0.06251193793860745, -0.24799387702343823, 0.03646105565604326, 0.016038014139164447, 0.18785854365448149, -0.08074768827881039, -0.09004339153635436, -0.06814781807779526, 0.10533784939300107, 0.015650417837921694, 0.037902447570191976, 0.17491541451467954, -0.0915246850554976, -0.04233533538073903, 0.312054081030352, -0.12541045504188317, 0.028744689238066813, 0.17175828228503617, -0.24425403379707927, -0.10505288766182942, 0.26809415336761927, 0.12822773811401603, 0.12231453793030811, -0.0863449489282045, -0.015398075555737552, -0.05384985852107313, 0.22310072425658878, 0.12076306903896772, -0.0006577159988155924, 0.2625931142973974, 0.08420655325124538, 0.017063874300129664, 0.14373030391795075, -0.314890806623937, -0.04964423022285011, -0.29101730895377637, -0.11119161390913476, -0.06214036495766099, 0.02397314610786921, -0.08965213118677436, -0.1271297140972492, 0.4406768437474966, 0.1411850340895771, 0.24377213574668266, -0.02831594647061635, 0.27419576460715406, 0.06106627691155357, 0.11236515972815361, 0.11965796231402095, 0.295183164677843, 0.16633486910000073, 0.21455886003769925, -0.18935446451007396, -0.0028097385798019838, 0.027695435151365234] |
712.0235 | Lyapunov conditions for logarithmic Sobolev and Super Poincar\'e
inequality | We show how to use Lyapunov functions to obtain functional inequalities which
are stronger than Poincar\'e inequality (for instance logarithmic Sobolev or
$F$-Sobolev). The case of Poincar\'e and weak Poincar\'e inequalities was
studied in Bakry and al. This approach allows us to recover and extend in an
unified way some known criteria in the euclidean case (Bakry-Emery, Wang,
Kusuoka-Stroock ...).
| math.PR | we show how to use lyapunov functions to obtain functional inequalities which are stronger than poincare inequality for instance logarithmic sobolev or fsobolev the case of poincare and weak poincare inequalities was studied in bakry and al this approach allows us to recover and extend in an unified way some known criteria in the euclidean case bakryemery wang kusuokastroock | [['we', 'show', 'how', 'to', 'use', 'lyapunov', 'functions', 'to', 'obtain', 'functional', 'inequalities', 'which', 'are', 'stronger', 'than', 'poincare', 'inequality', 'for', 'instance', 'logarithmic', 'sobolev', 'or', 'fsobolev', 'the', 'case', 'of', 'poincare', 'and', 'weak', 'poincare', 'inequalities', 'was', 'studied', 'in', 'bakry', 'and', 'al', 'this', 'approach', 'allows', 'us', 'to', 'recover', 'and', 'extend', 'in', 'an', 'unified', 'way', 'some', 'known', 'criteria', 'in', 'the', 'euclidean', 'case', 'bakryemery', 'wang', 'kusuokastroock']] | [-0.038510274554586464, -0.01127383169047167, -0.11639262203192502, 0.19049394266116187, -0.12030744412096969, -0.18965529710904025, 0.01282337749338088, 0.2937163995546207, -0.2720595432053271, -0.27289466731446355, 0.08108170102799736, -0.2586566775819193, -0.18905239694817155, 0.2316598005423306, -0.1429733091540504, 0.09432679389423707, -0.05969222643200243, -0.0008306756386892838, -0.09987639315965537, -0.3176576254333843, 0.3184827508551902, 0.011614149044218817, 0.24610091657622865, 0.0735491182687774, 0.022677164220479887, 0.041483329919477306, -0.04159378641889545, -0.01081503115659743, -0.24536297882073804, 0.1795012862666657, 0.22623920706999406, 0.10406284988449331, 0.2680897705845143, -0.4229795070724529, -0.1944161714463119, 0.1477352412307243, 0.11350297788158059, 0.06234065987978523, -0.00794338888341659, -0.32914734029684933, 0.06150686567681923, -0.09505085140597402, -0.21223387341096736, -0.1621060942119935, 0.007091613527256669, -0.006770671051191657, -0.3334958895942883, 0.16424652461877517, 0.10706886613185991, 0.01135535399723602, -0.10181921994285005, -0.03330602529540397, 0.014536378341481873, 0.044686095319328864, 0.016851416053740603, 0.06261767183937002, 0.0706525243688048, -0.010972059536071723, -0.14728992692145862, 0.28755411948485854, -0.04578837394237461, -0.2542829457016891, 0.1804480143054797, -0.18153731631147757, -0.1885721727862562, 0.00038116001278946276, 0.14151375061064436, 0.16558511292954026, -0.15382955094652348, 0.16033590813432902, -0.08961633690877964, 0.08030527490272857, 0.1595280756765421, 0.0375638206963215, -0.03856688273841875, 0.0016289661197285902, 0.1858222127908416, 0.19824324046637407, -0.013745323358626481, -0.11430313303891014, -0.32892034897221284, -0.23189250124912514, -0.14273993041889185, 0.09603833887121525, -0.1303544298231524, -0.10231464073519435, 0.3072819165035821, 0.07641757760000856, 0.1639192492344719, 0.1412777299441299, 0.16656875237822533, 0.10380075753486731, 0.0658001990211089, 0.08564307524520381, 0.2789665242568222, 0.22074456104453197, 0.12209821923782951, -0.07639614135647814, 0.017094330821317016, 0.22000659637872064] |
712.0236 | The stress field in a pulled cork and some subtle points in the
semi-inverse method of nonlinear elasticity | In an attempt to describe cork-pulling, we model a cork as an incompressible
rubber-like material and consider that it is subject to a helical shear
deformation superimposed onto a shrink fit and a simple torsion. It turns out
that this deformation field provides an insight into the possible appearance of
secondary deformation fields for special classes of materials. We also find
that these latent deformation fields are woken up by normal stress differences.
We present some explicit examples based on the neo-Hookean, the generalized
neo-Hookean and the Mooney-Rivlin forms of the strain-energy density. Using the
simple exact solution found in the neo-Hookean case, we conjecture that it is
advantageous to accompany the usual vertical axial force by a twisting moment,
in order to extrude a cork from the neck of a bottle efficiently. Then we
analyse departures from the neo-Hookean behaviour by exact and asymptotic
analyses. In that process, we are able to give an elegant and analytic example
of secondary (or latent) deformations in the framework of nonlinear elasticity.
| physics.class-ph | in an attempt to describe corkpulling we model a cork as an incompressible rubberlike material and consider that it is subject to a helical shear deformation superimposed onto a shrink fit and a simple torsion it turns out that this deformation field provides an insight into the possible appearance of secondary deformation fields for special classes of materials we also find that these latent deformation fields are woken up by normal stress differences we present some explicit examples based on the neohookean the generalized neohookean and the mooneyrivlin forms of the strainenergy density using the simple exact solution found in the neohookean case we conjecture that it is advantageous to accompany the usual vertical axial force by a twisting moment in order to extrude a cork from the neck of a bottle efficiently then we analyse departures from the neohookean behaviour by exact and asymptotic analyses in that process we are able to give an elegant and analytic example of secondary or latent deformations in the framework of nonlinear elasticity | [['in', 'an', 'attempt', 'to', 'describe', 'corkpulling', 'we', 'model', 'a', 'cork', 'as', 'an', 'incompressible', 'rubberlike', 'material', 'and', 'consider', 'that', 'it', 'is', 'subject', 'to', 'a', 'helical', 'shear', 'deformation', 'superimposed', 'onto', 'a', 'shrink', 'fit', 'and', 'a', 'simple', 'torsion', 'it', 'turns', 'out', 'that', 'this', 'deformation', 'field', 'provides', 'an', 'insight', 'into', 'the', 'possible', 'appearance', 'of', 'secondary', 'deformation', 'fields', 'for', 'special', 'classes', 'of', 'materials', 'we', 'also', 'find', 'that', 'these', 'latent', 'deformation', 'fields', 'are', 'woken', 'up', 'by', 'normal', 'stress', 'differences', 'we', 'present', 'some', 'explicit', 'examples', 'based', 'on', 'the', 'neohookean', 'the', 'generalized', 'neohookean', 'and', 'the', 'mooneyrivlin', 'forms', 'of', 'the', 'strainenergy', 'density', 'using', 'the', 'simple', 'exact', 'solution', 'found', 'in', 'the', 'neohookean', 'case', 'we', 'conjecture', 'that', 'it', 'is', 'advantageous', 'to', 'accompany', 'the', 'usual', 'vertical', 'axial', 'force', 'by', 'a', 'twisting', 'moment', 'in', 'order', 'to', 'extrude', 'a', 'cork', 'from', 'the', 'neck', 'of', 'a', 'bottle', 'efficiently', 'then', 'we', 'analyse', 'departures', 'from', 'the', 'neohookean', 'behaviour', 'by', 'exact', 'and', 'asymptotic', 'analyses', 'in', 'that', 'process', 'we', 'are', 'able', 'to', 'give', 'an', 'elegant', 'and', 'analytic', 'example', 'of', 'secondary', 'or', 'latent', 'deformations', 'in', 'the', 'framework', 'of', 'nonlinear', 'elasticity']] | [-0.11973135362891756, 0.10849601193227855, -0.117830562682746, 0.05893372383060841, -0.11465097506414856, -0.11422085261920235, -0.00820264962505957, 0.3654570493560571, -0.2953369082420094, -0.24157909557950744, 0.08855654553099696, -0.23520743029368435, -0.2243016016953377, 0.18152857873555736, -0.04820038738643982, 0.019589269654990655, 0.007390402581201062, 0.035027183917455774, -0.0729177109514826, -0.1987594595336019, 0.3173885323636278, 0.04222779988225814, 0.2708263499056094, 0.013750627213956777, 0.0968398162096287, -0.02223190331842596, 0.027256784244225576, 0.05635444354334813, -0.19555102890194978, 0.09943778128996933, 0.217250826030132, 0.03393858717694209, 0.2067501011618672, -0.4720825020378158, -0.20364008587233987, 0.057981128090739076, 0.1074029475136401, 0.12830819770247406, -0.053164803914136124, -0.22441936875748608, 0.05804867568403791, -0.19148469669813256, -0.16487574536276198, -0.1349526796608436, 0.026170421389658995, 0.013597739581431996, -0.27001954875500683, 0.09073873701592847, 0.11831176659290696, 0.0389237697739099, -0.12149709677833447, -0.07162661118069168, -0.019078131176850942, 0.07789377080408867, 0.11228753193595017, 0.014281885657106808, 0.10943455743715691, -0.14364147073445985, -0.03867490229764457, 0.3910024172389472, -0.048347759447005416, -0.240174625553852, 0.15292464635891498, -0.07892435623784742, -0.11702500479350958, 0.17342471223139927, 0.17558212178764787, 0.09655957829107988, -0.13770007074827098, 0.05783121374720906, -0.05756118317539721, 0.12213250080443169, 0.08056251459325162, -0.10010909814023848, 0.20829398164073742, 0.12673874873083812, 0.037215519795668194, 0.20222196212026688, -0.07116183338923787, -0.06711992752612926, -0.3408776322192342, -0.1799316779013238, -0.12955116637508501, 0.07981010001240926, -0.08595509722389036, -0.1964727367230377, 0.3717496860607048, 0.09607235482238101, 0.19326188275521655, 0.028160331572389462, 0.2531022457502364, 0.06955569705956191, 0.05867219694267363, 0.05764401762211729, 0.25208387387032655, 0.15412306506462262, 0.04532416545945776, -0.19380749500847075, 0.01728137448077371, 0.07395257791828022] |
712.0237 | SU_f(3)-Symmetry Breaking Effects of the B\to K Transition Form Factor
in the QCD Light-Cone Sum Rules | We present an improved calculation of the $B\to K$ transition form factor
with chiral current in the QCD light-cone sum rule (LCSR) approach. Under the
present approach, the most uncertain twist-3 contribution is eliminated. And
the contributions from the twist-2 and the twist-4 structures of the kaon wave
function are discussed, including the $SU_f(3)$-breaking effects. One-loop
radiative corrections to the kaonic twist-2 contribution together with the
leading-order twist-4 corrections are studied. The $SU_f(3)$ breaking effect is
obtained, $ \frac{F^{B\to K}_{+}(0)}{F^{B\to\pi}_{+}(0)}=1.16\pm 0.03$. By
combining the LCSR results with the newly obtained perturbative QCD results
that have been calculated up to ${\cal O}(1/m^2_b)$ in Ref.\cite{hwf0}, we
present a consistent analysis of the $B\to K$ transition form factor in the
large and intermediate energy regions.
| hep-ph | we present an improved calculation of the bto k transition form factor with chiral current in the qcd lightcone sum rule lcsr approach under the present approach the most uncertain twist3 contribution is eliminated and the contributions from the twist2 and the twist4 structures of the kaon wave function are discussed including the su_f3breaking effects oneloop radiative corrections to the kaonic twist2 contribution together with the leadingorder twist4 corrections are studied the su_f3 breaking effect is obtained fracfbto k_0fbtopi_0116pm 003 by combining the lcsr results with the newly obtained perturbative qcd results that have been calculated up to cal o1m2_b in refcitehwf0 we present a consistent analysis of the bto k transition form factor in the large and intermediate energy regions | [['we', 'present', 'an', 'improved', 'calculation', 'of', 'the', 'bto', 'k', 'transition', 'form', 'factor', 'with', 'chiral', 'current', 'in', 'the', 'qcd', 'lightcone', 'sum', 'rule', 'lcsr', 'approach', 'under', 'the', 'present', 'approach', 'the', 'most', 'uncertain', 'twist3', 'contribution', 'is', 'eliminated', 'and', 'the', 'contributions', 'from', 'the', 'twist2', 'and', 'the', 'twist4', 'structures', 'of', 'the', 'kaon', 'wave', 'function', 'are', 'discussed', 'including', 'the', 'su_f3breaking', 'effects', 'oneloop', 'radiative', 'corrections', 'to', 'the', 'kaonic', 'twist2', 'contribution', 'together', 'with', 'the', 'leadingorder', 'twist4', 'corrections', 'are', 'studied', 'the', 'su_f3', 'breaking', 'effect', 'is', 'obtained', 'fracfbto', 'k_0fbtopi_0116pm', '003', 'by', 'combining', 'the', 'lcsr', 'results', 'with', 'the', 'newly', 'obtained', 'perturbative', 'qcd', 'results', 'that', 'have', 'been', 'calculated', 'up', 'to', 'cal', 'o1m2_b', 'in', 'refcitehwf0', 'we', 'present', 'a', 'consistent', 'analysis', 'of', 'the', 'bto', 'k', 'transition', 'form', 'factor', 'in', 'the', 'large', 'and', 'intermediate', 'energy', 'regions']] | [-0.09147592885897328, 0.17879910182924721, -0.07878861560398696, 0.08935955602826917, -0.04887946241368086, -0.01229459297660197, 0.06212971853211713, 0.3304336363624813, -0.16297154523070073, -0.20235209404212287, -0.011835483172470624, -0.35981923369611174, -0.0766859375513517, 0.08432112833978529, 0.10392634843627357, 0.08764775357762368, 0.02202789690425126, -0.019716832229596935, -0.1187588097448023, -0.1992331287658447, 0.33283476133504486, 0.02577933684612314, 0.24560166989317816, 0.15070938003502196, -0.004302335727928031, -0.02110240737008106, -0.10148395083717301, -0.02223467042781094, -0.13926743331762542, 0.07439983156947498, 0.21673266034032035, 0.037492162549871214, 0.10012469053841554, -0.376473155639803, -0.12440164977063735, 0.030056332373338886, 0.14661973697813943, 0.13532682177889296, 0.010289671625862392, -0.30470919702998084, 0.07963618723691529, -0.21021522568841267, -0.13566268116641694, -0.15903862501279667, -0.036458348471305184, -0.09236339912710027, -0.3354975859610698, 0.11411894606346758, -0.04664146424963688, 0.0030332589044402805, -0.026790251063867513, -0.29675727443865096, 0.005961248794427285, 0.07739135597705141, 0.11317558396352917, 0.11938381307702671, 0.13038232546044976, -0.17603830623830485, -0.14721356921343723, 0.4455079012391213, -0.08216283038163032, -0.13659027229365694, 0.013609311607085232, -0.20778583332848471, -0.16913534849324924, 0.2002395461512427, 0.14543802068473247, 0.10637163700417489, -0.20116761094755214, 0.11446337909169066, 0.02539806346556781, 0.12499702314778557, 0.06346706332415979, 0.05769048327118413, 0.15178014543385077, 0.13858946614190298, -0.09542152075232285, 0.11199382674864405, -0.0478168314235269, -0.10382213591972095, -0.4023404673506052, -0.032189725603685417, -0.10179786373757654, 0.07646630983140507, -0.13416177001306648, -0.12385896518508084, 0.3345963425703474, 0.11130963034657204, 0.2304200191154248, 0.06390536964162548, 0.3435219162000486, 0.18587454430993774, 0.1402918587739253, 0.07879988030076791, 0.30752710898757046, 0.18297491749971467, 0.08310485058161877, -0.31415710913248235, 0.02079684431784046, 0.09492766693767765] |
712.0238 | Space-time deformations as extended conformal transformations | A definition of space-time metric deformations on an $n$-dimensional manifold
is given. We show that such deformations can be regarded as extended conformal
transformations. In particular, their features can be related to the
perturbation theory giving a natural picture by which gravitational waves are
described by small deformations of the metric. As further result, deformations
can be related to approximate Killing vectors (approximate symmetries) by which
it is possible to parameterize the deformed region of a given manifold. The
perspectives and some possible physical applications of such an approach are
discussed.
| gr-qc | a definition of spacetime metric deformations on an ndimensional manifold is given we show that such deformations can be regarded as extended conformal transformations in particular their features can be related to the perturbation theory giving a natural picture by which gravitational waves are described by small deformations of the metric as further result deformations can be related to approximate killing vectors approximate symmetries by which it is possible to parameterize the deformed region of a given manifold the perspectives and some possible physical applications of such an approach are discussed | [['a', 'definition', 'of', 'spacetime', 'metric', 'deformations', 'on', 'an', 'ndimensional', 'manifold', 'is', 'given', 'we', 'show', 'that', 'such', 'deformations', 'can', 'be', 'regarded', 'as', 'extended', 'conformal', 'transformations', 'in', 'particular', 'their', 'features', 'can', 'be', 'related', 'to', 'the', 'perturbation', 'theory', 'giving', 'a', 'natural', 'picture', 'by', 'which', 'gravitational', 'waves', 'are', 'described', 'by', 'small', 'deformations', 'of', 'the', 'metric', 'as', 'further', 'result', 'deformations', 'can', 'be', 'related', 'to', 'approximate', 'killing', 'vectors', 'approximate', 'symmetries', 'by', 'which', 'it', 'is', 'possible', 'to', 'parameterize', 'the', 'deformed', 'region', 'of', 'a', 'given', 'manifold', 'the', 'perspectives', 'and', 'some', 'possible', 'physical', 'applications', 'of', 'such', 'an', 'approach', 'are', 'discussed']] | [-0.12358815894861307, 0.1392361176392744, -0.08519003916900236, 0.09193138478856001, -0.11611855476275905, -0.104430515463029, -0.06436737391529707, 0.3525203274010302, -0.31834819576713247, -0.2651246935922325, 0.12437647998756422, -0.24531027947931172, -0.2509638499468565, 0.16930479326050032, -0.10620748613235684, 0.039355430457802425, 0.007389401382469869, 0.0921581533256468, -0.11128839368773318, -0.21633655377305472, 0.35846541729336096, 0.07120631088676689, 0.23461892803782944, 0.04292350932623127, 0.10571455855209094, -0.044072731935347505, 0.004091866887532747, 0.09070660583265536, -0.10324941465292435, 0.11465262057218742, 0.27778899149744063, 0.15344777002746424, 0.167022912921691, -0.4045046914450742, -0.2510393090292832, 0.07626659593258339, 0.14516436301714197, 0.1428749723907478, -0.005451727764691216, -0.35854808910453057, 0.07641868650462928, -0.15464994363975457, -0.20918783771160704, -0.17499145716019385, 0.026531083171593618, -0.0234087423861518, -0.23652019857295922, 0.035008749566399135, 0.09758373638512668, -0.008720898130847202, -0.09403511680212322, -0.025423072692349676, -0.05311441562742322, 0.0837290727400354, 0.07814063010532614, 0.0863376526509995, 0.14094852792754115, -0.08838999592750282, -0.1284811576255239, 0.427461713879973, -0.02805598313500593, -0.3165911747204078, 0.14504918280047374, -0.07246511895721267, -0.10580781359061762, 0.08257480052678468, 0.1673522219368881, 0.15746025713979378, -0.13985753210855054, 0.12039784626508512, -0.03146138240757224, 0.07417033434651055, 0.10501235995728236, 0.03749716928699515, 0.24093415741655197, 0.0958167878286606, 0.0687020135183747, 0.13439948543788519, -0.007651424104511574, -0.09429448786329805, -0.38368460204411337, -0.13084279594733125, -0.1683319294722853, 0.11691487255342468, -0.13129772221817312, -0.16455223682530962, 0.3665617451910953, 0.08034696689071927, 0.24486360994965903, -0.0004076955067300862, 0.1813048408469083, 0.1348463087278715, 0.09283460006066649, 0.022401691639570745, 0.23394756130317665, 0.14922919356427922, -0.011093637098783402, -0.13118272666706815, -0.005719190002879598, 0.09198621292803232] |
712.0239 | Coupled-channels analyses for large-angle quasi-elastic scattering in
massive systems | We discuss in detail the coupled-channels approach for the large-angle
quasi-elastic scattering in massive systems, where many degrees of freedom may
be involved in the reaction. We especially investigate the effects of single,
double and triple phonon excitations on the quasi-elastic scattering for
$^{48}$Ti,$^{54}$Cr,$^{56}$Fe,$^{64}$Ni and $^{70}$Zn$+^{208}$Pb systems, for
which the experimental cross sections have been measured recently. We show that
the present coupled-channels calculations well account for the overall width of
the experimental barrier distribution for these systems. In particular, it is
shown that the calculations taking into account single quadrupole phonon
excitations in $^{48}$Ti and triple octupole phonon excitations in $^{208}$Pb
reasonably well reproduce the experimental quasi-elastic cross section and
barrier distribution for the $^{48}$Ti$+^{208}$Pb reaction. On the other hand,
$^{54}$Cr,$^{56}$Fe,$^{64}$Ni and $^{70}$Zn$+^{208}$Pb systems seem to require
the double quadrupole phonon excitations in the projectiles in order to
reproduce the experimental data.
| nucl-th | we discuss in detail the coupledchannels approach for the largeangle quasielastic scattering in massive systems where many degrees of freedom may be involved in the reaction we especially investigate the effects of single double and triple phonon excitations on the quasielastic scattering for 48ti54cr56fe64ni and 70zn208pb systems for which the experimental cross sections have been measured recently we show that the present coupledchannels calculations well account for the overall width of the experimental barrier distribution for these systems in particular it is shown that the calculations taking into account single quadrupole phonon excitations in 48ti and triple octupole phonon excitations in 208pb reasonably well reproduce the experimental quasielastic cross section and barrier distribution for the 48ti208pb reaction on the other hand 54cr56fe64ni and 70zn208pb systems seem to require the double quadrupole phonon excitations in the projectiles in order to reproduce the experimental data | [['we', 'discuss', 'in', 'detail', 'the', 'coupledchannels', 'approach', 'for', 'the', 'largeangle', 'quasielastic', 'scattering', 'in', 'massive', 'systems', 'where', 'many', 'degrees', 'of', 'freedom', 'may', 'be', 'involved', 'in', 'the', 'reaction', 'we', 'especially', 'investigate', 'the', 'effects', 'of', 'single', 'double', 'and', 'triple', 'phonon', 'excitations', 'on', 'the', 'quasielastic', 'scattering', 'for', '48ti54cr56fe64ni', 'and', '70zn208pb', 'systems', 'for', 'which', 'the', 'experimental', 'cross', 'sections', 'have', 'been', 'measured', 'recently', 'we', 'show', 'that', 'the', 'present', 'coupledchannels', 'calculations', 'well', 'account', 'for', 'the', 'overall', 'width', 'of', 'the', 'experimental', 'barrier', 'distribution', 'for', 'these', 'systems', 'in', 'particular', 'it', 'is', 'shown', 'that', 'the', 'calculations', 'taking', 'into', 'account', 'single', 'quadrupole', 'phonon', 'excitations', 'in', '48ti', 'and', 'triple', 'octupole', 'phonon', 'excitations', 'in', '208pb', 'reasonably', 'well', 'reproduce', 'the', 'experimental', 'quasielastic', 'cross', 'section', 'and', 'barrier', 'distribution', 'for', 'the', '48ti208pb', 'reaction', 'on', 'the', 'other', 'hand', '54cr56fe64ni', 'and', '70zn208pb', 'systems', 'seem', 'to', 'require', 'the', 'double', 'quadrupole', 'phonon', 'excitations', 'in', 'the', 'projectiles', 'in', 'order', 'to', 'reproduce', 'the', 'experimental', 'data']] | [-0.07067765387709833, 0.1532946976468615, -0.0803274627866905, 0.11389321227898767, 0.009697265492792687, -0.08397730435852123, 0.016228872236620256, 0.3694215269516344, -0.20537584735944436, -0.25169584232018044, -0.0529418138254002, -0.35988472769900726, -0.08468305575967162, 0.19475367772932825, 0.065175234583085, 0.09231807522313751, 0.09013786798586017, 0.0343531842294581, -0.005596454343016165, -0.16702812316193097, 0.31800074204532564, 0.07561481101573378, 0.27553326908526, 0.17253351600948666, 0.02987651888743394, 0.08822428255233968, 0.05126722463393125, -0.03654256400287799, -0.13281538312214147, 0.0727951341389638, 0.29310766116216563, -0.006764806491538774, 0.10807929462685749, -0.4506160226596546, -0.21565340470144714, 0.04999460555963974, 0.2025125415361338, 0.18212181254732085, -0.03976475189446701, -0.27247596482840786, 0.026947177794721465, -0.2080293256667969, -0.10675257739321618, -0.1411662551007517, 0.02014241275332018, 0.05105054572872494, -0.2513282593825589, 0.06674587380383974, 0.02225780826014723, 0.035234990815587335, -0.1196527414030625, -0.2118177537644363, -0.031559039210981646, 0.07506923363679022, 0.05517143473548788, -0.04284656071905519, 0.15085796330906992, -0.08757156286257035, -0.11198082700813783, 0.4192584222857503, -0.0029750762050094054, -0.1604718460728401, 0.10766398754524256, -0.2239727714686128, -0.1585382507385119, 0.1682928561543425, 0.17844226436210336, 0.09114938951603582, -0.15840098403218755, 0.07688780091289579, 0.024084377909025203, 0.14964118809945395, 0.04887834968099344, 0.06766068840237416, 0.1661088137846926, 0.19687408046624827, -0.04565354242483896, 0.05188156062259636, -0.1637179943618189, -0.12472970540756764, -0.31165685280617594, -0.10511610893181701, -0.11288485724134775, 0.01632357463645546, 0.0052902241667903, -0.12898473313438497, 0.3568427961617472, 0.11072151330839572, 0.23303470684323405, -0.01977105506112043, 0.3033633100786719, 0.149486997893647, 0.12978629664555058, 0.0047676764442113, 0.3354366945433498, 0.18773937334670968, 0.06869310469272127, -0.3131955947888934, 0.054238587921566286, -0.03722212829735076] |
712.024 | Non-Markovian diffusion equations and processes: analysis and
simulations | In this paper we introduce and analyze a class of diffusion type equations
related to certain non-Markovian stochastic processes. We start from the
forward drift equation which is made non-local in time by the introduction of a
suitable chosen memory kernel K(t). The resulting non-Markovian equation can be
interpreted in a natural way as the evolution equation of the marginal density
function of a random time process l(t). We then consider the subordinated
process Y(t)=X(l(t)) where X(t) is a Markovian diffusion. The corresponding
time evolution of the marginal density function of Y(t) is governed by a
non-Markovian Fokker-Planck equation which involves the memory kernel K(t). We
develop several applications and derive the exact solutions. We consider
different stochastic models for the given equations providing path simulations.
| math-ph cond-mat.stat-mech math.MP math.PR physics.data-an | in this paper we introduce and analyze a class of diffusion type equations related to certain nonmarkovian stochastic processes we start from the forward drift equation which is made nonlocal in time by the introduction of a suitable chosen memory kernel kt the resulting nonmarkovian equation can be interpreted in a natural way as the evolution equation of the marginal density function of a random time process lt we then consider the subordinated process ytxlt where xt is a markovian diffusion the corresponding time evolution of the marginal density function of yt is governed by a nonmarkovian fokkerplanck equation which involves the memory kernel kt we develop several applications and derive the exact solutions we consider different stochastic models for the given equations providing path simulations | [['in', 'this', 'paper', 'we', 'introduce', 'and', 'analyze', 'a', 'class', 'of', 'diffusion', 'type', 'equations', 'related', 'to', 'certain', 'nonmarkovian', 'stochastic', 'processes', 'we', 'start', 'from', 'the', 'forward', 'drift', 'equation', 'which', 'is', 'made', 'nonlocal', 'in', 'time', 'by', 'the', 'introduction', 'of', 'a', 'suitable', 'chosen', 'memory', 'kernel', 'kt', 'the', 'resulting', 'nonmarkovian', 'equation', 'can', 'be', 'interpreted', 'in', 'a', 'natural', 'way', 'as', 'the', 'evolution', 'equation', 'of', 'the', 'marginal', 'density', 'function', 'of', 'a', 'random', 'time', 'process', 'lt', 'we', 'then', 'consider', 'the', 'subordinated', 'process', 'ytxlt', 'where', 'xt', 'is', 'a', 'markovian', 'diffusion', 'the', 'corresponding', 'time', 'evolution', 'of', 'the', 'marginal', 'density', 'function', 'of', 'yt', 'is', 'governed', 'by', 'a', 'nonmarkovian', 'fokkerplanck', 'equation', 'which', 'involves', 'the', 'memory', 'kernel', 'kt', 'we', 'develop', 'several', 'applications', 'and', 'derive', 'the', 'exact', 'solutions', 'we', 'consider', 'different', 'stochastic', 'models', 'for', 'the', 'given', 'equations', 'providing', 'path', 'simulations']] | [-0.12004199074953795, 0.10718596908729523, -0.09982719001919031, 0.08162150879498221, -0.071805993296206, -0.13766586060076952, 0.009032585554756225, 0.3281161162853241, -0.35306477299891414, -0.2110181736126542, 0.08959333681967109, -0.22917211166024207, -0.15241311079263686, 0.15300787849910558, -0.020884720489382745, 0.08181148335151374, 0.04449808732979, 0.025750133499503135, -0.07064074497669935, -0.1930194496754557, 0.33188589485362174, 0.0209805446267128, 0.19323530615121126, -0.02990572839975357, 0.1988099168203771, -0.005434910248965025, -0.06297661881893873, 0.009493197213858367, -0.1712698687016964, 0.037957830836996435, 0.22320638981592492, 0.0828742310628295, 0.3270959445610642, -0.45304906399548056, -0.2546301237419248, 0.10507767367362976, 0.11935323064727708, 0.11016711984574795, -0.0291096445992589, -0.2887458800077438, 0.013384410347789526, -0.1694751392826438, -0.14586171163991093, -0.04299834648519754, 0.028635867800563573, 0.07184489943087101, -0.2896803205818869, 0.14143856946378947, 0.09148371689021588, -0.044717844046652314, -0.0586104952909518, -0.07590232444927096, 0.030868203662335874, 0.06702686218265444, 0.010985486942809075, 0.0008661607522517442, 0.11080809334293008, -0.13100339059904217, -0.09832080780342221, 0.3431805186793208, -0.13994163324311376, -0.26284004732221367, 0.1524788904376328, -0.11807729455828667, -0.1027586693558842, 0.12267028984054923, 0.18442135199718176, 0.1516531272754073, -0.26626968716830013, 0.15944081660266965, 0.005104484369978309, 0.111314586520195, 0.01357697013579309, 0.00046561910957098007, 0.11445707997848513, 0.18636513495258986, 0.056299878779798744, 0.17567682916577906, -0.04829320415109396, -0.19447709693014623, -0.3485551526397467, -0.18699011700879783, -0.15791988246887922, 0.1387534358073026, -0.13631665700278245, -0.18646828272938729, 0.3888018041960895, 0.17231425727903843, 0.20478689689934254, 0.08012361481785774, 0.2114439251758158, 0.2927530432464555, -0.01811790436739102, 0.10035926358960569, 0.08267372316122056, 0.13762735329568387, 0.1482332716807723, -0.24446401012223215, 0.11306689846795052, 0.10486745079979301] |
712.0241 | The variational particle-mesh method for matching curves | Diffeomorphic matching (only one of several names for this technique) is a
technique for non-rigid registration of curves and surfaces in which the curve
or surface is embedded in the flow of a time-series of vector fields. One seeks
the flow between two topologically-equivalent curves or surfaces which
minimises some metric defined on the vector fields, \emph{i.e.} the flow
closest to the identity in some sense.
In this paper, we describe a new particle-mesh discretisation for the
evolution of the geodesic flow and the embedded shape. Particle-mesh algorithms
are very natural for this problem because Lagrangian particles (particles
moving with the flow) can represent the movement of the shape whereas the
vector field is Eulerian and hence best represented on a static mesh. We
explain the derivation of the method, and prove conservation properties: the
discrete method has a set of conserved momenta corresponding to the
particle-relabelling symmetry which converge to conserved quantities in the
continuous problem. We also introduce a new discretisation for the geometric
current matching condition of (Vaillant and Glaunes, 2005). We illustrate the
method and the derived properties with numerical examples.
| math.NA | diffeomorphic matching only one of several names for this technique is a technique for nonrigid registration of curves and surfaces in which the curve or surface is embedded in the flow of a timeseries of vector fields one seeks the flow between two topologicallyequivalent curves or surfaces which minimises some metric defined on the vector fields emphie the flow closest to the identity in some sense in this paper we describe a new particlemesh discretisation for the evolution of the geodesic flow and the embedded shape particlemesh algorithms are very natural for this problem because lagrangian particles particles moving with the flow can represent the movement of the shape whereas the vector field is eulerian and hence best represented on a static mesh we explain the derivation of the method and prove conservation properties the discrete method has a set of conserved momenta corresponding to the particlerelabelling symmetry which converge to conserved quantities in the continuous problem we also introduce a new discretisation for the geometric current matching condition of vaillant and glaunes 2005 we illustrate the method and the derived properties with numerical examples | [['diffeomorphic', 'matching', 'only', 'one', 'of', 'several', 'names', 'for', 'this', 'technique', 'is', 'a', 'technique', 'for', 'nonrigid', 'registration', 'of', 'curves', 'and', 'surfaces', 'in', 'which', 'the', 'curve', 'or', 'surface', 'is', 'embedded', 'in', 'the', 'flow', 'of', 'a', 'timeseries', 'of', 'vector', 'fields', 'one', 'seeks', 'the', 'flow', 'between', 'two', 'topologicallyequivalent', 'curves', 'or', 'surfaces', 'which', 'minimises', 'some', 'metric', 'defined', 'on', 'the', 'vector', 'fields', 'emphie', 'the', 'flow', 'closest', 'to', 'the', 'identity', 'in', 'some', 'sense', 'in', 'this', 'paper', 'we', 'describe', 'a', 'new', 'particlemesh', 'discretisation', 'for', 'the', 'evolution', 'of', 'the', 'geodesic', 'flow', 'and', 'the', 'embedded', 'shape', 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712.0242 | Gravitational corrections to Standard Model vacuum decay | We refine and update the metastability constraint on the Standard Model top
and Higgs masses, by analytically including gravitational corrections to the
vacuum decay rate. Present best-fit ranges of the top and Higgs masses mostly
lie in the narrow metastable region. Furthermore, we show that the SM potential
can be fine-tuned in order to be made suitable for inflation. However, SM
inflation results in a power spectrum of cosmological perturbations not
consistent with observations.
| hep-ph hep-th | we refine and update the metastability constraint on the standard model top and higgs masses by analytically including gravitational corrections to the vacuum decay rate present bestfit ranges of the top and higgs masses mostly lie in the narrow metastable region furthermore we show that the sm potential can be finetuned in order to be made suitable for inflation however sm inflation results in a power spectrum of cosmological perturbations not consistent with observations | [['we', 'refine', 'and', 'update', 'the', 'metastability', 'constraint', 'on', 'the', 'standard', 'model', 'top', 'and', 'higgs', 'masses', 'by', 'analytically', 'including', 'gravitational', 'corrections', 'to', 'the', 'vacuum', 'decay', 'rate', 'present', 'bestfit', 'ranges', 'of', 'the', 'top', 'and', 'higgs', 'masses', 'mostly', 'lie', 'in', 'the', 'narrow', 'metastable', 'region', 'furthermore', 'we', 'show', 'that', 'the', 'sm', 'potential', 'can', 'be', 'finetuned', 'in', 'order', 'to', 'be', 'made', 'suitable', 'for', 'inflation', 'however', 'sm', 'inflation', 'results', 'in', 'a', 'power', 'spectrum', 'of', 'cosmological', 'perturbations', 'not', 'consistent', 'with', 'observations']] | [-0.07299225603708544, 0.18330029723536526, -0.03988172814904435, 0.13198194159446536, -0.08948176238383795, -0.16339507016252625, 0.05033226264955325, 0.34497217662833835, -0.2185943496186991, -0.29826469363241986, 0.0952550099731574, -0.22327140895366618, -0.03341162982522636, 0.16318565287086106, -0.004241212727769429, 0.07093183118598284, 0.06395100799666063, 0.019369512595034933, -0.051425367716473304, -0.2850397890512328, 0.32011449953692184, 0.07012780189413477, 0.18881834118400473, 0.05697202755844636, 0.013100862905785843, -0.0718669359748428, 0.026991966104990727, -0.027807213177250045, -0.17854520063455975, 0.07938563935081097, 0.12412395835535545, 0.08248405760733059, 0.15265156579128392, -0.3615997912160851, -0.19785769317752203, 0.15975246613694205, 0.15924513901306972, 0.1343243840351902, -0.06383240486753199, -0.3228620778693742, 0.12941684641850157, -0.1961683298310114, -0.0908766542183789, -0.07892390024672086, -0.05536646195813208, -0.06833909217715012, -0.34667922066197404, 0.09264358107906741, -0.06612030981184058, -0.018591509376828734, -0.07446000830748596, -0.11332830338034074, -0.07413372834766838, 0.024334137850264843, 0.15534568993968384, -0.011033825164132222, 0.18352480108119748, -0.15973385617943112, -0.10492548383646519, 0.40077006504745094, -0.19973708170220708, -0.14312414371257498, 0.1203660594828024, -0.19279545501528964, -0.14057218486945006, 0.13502465375397052, 0.16862021045557954, 0.07762531493790448, -0.14207954972831383, 0.18322434277994232, 0.04104749549249489, 0.20004369404066252, 0.055966210325022005, 0.02298282102581013, 0.32017042812564084, 0.13933502190519828, 0.018980613846734568, 0.054363984375487305, -0.06323900297472908, -0.11479591052173763, -0.3828857404028846, -0.08649427008286521, -0.09056407928064063, 0.005854747462836787, -0.11198331770503649, -0.11827364266925566, 0.4123692010730706, 0.16788096822219323, 0.2628518251412724, 0.0841745904621643, 0.27221409493201487, 0.07949864976517101, 0.09221386990660953, 0.040389120264129864, 0.393287257303962, 0.11663004120723722, 0.11372473947955547, -0.1973151481156615, -0.019861648026366113, 0.03451511066885212] |
712.0243 | Incremental Magnetoelastic Deformations, with Application to Surface
Instability | In this paper the equations governing the deformations of infinitesimal
(incremental) disturbances superimposed on finite static deformation fields
involving magnetic and elastic interactions are presented. The coupling between
the equations of mechanical equilibrium and Maxwell's equations complicates the
incremental formulation and particular attention is therefore paid to the
derivation of the incremental equations, of the tensors of magnetoelastic
moduli and of the incremental boundary conditions at a magnetoelastic/vacuum
interface. The problem of surface stability for a solid half-space under plane
strain with a magnetic field normal to its surface is used to illustrate the
general results. The analysis involved leads to the simultaneous resolution of
a bicubic and vanishing of a 7x7 determinant. In order to provide specific
demonstration of the effect of the magnetic field, the material model is
specialized to that of a "magnetoelastic Mooney-Rivlin solid". Depending on the
magnitudes of the magnetic field and the magnetoelastic coupling parameters,
this shows that the half-space may become either more stable or less stable
than in the absence of a magnetic field.
| physics.class-ph | in this paper the equations governing the deformations of infinitesimal incremental disturbances superimposed on finite static deformation fields involving magnetic and elastic interactions are presented the coupling between the equations of mechanical equilibrium and maxwells equations complicates the incremental formulation and particular attention is therefore paid to the derivation of the incremental equations of the tensors of magnetoelastic moduli and of the incremental boundary conditions at a magnetoelasticvacuum interface the problem of surface stability for a solid halfspace under plane strain with a magnetic field normal to its surface is used to illustrate the general results the analysis involved leads to the simultaneous resolution of a bicubic and vanishing of a 7x7 determinant in order to provide specific demonstration of the effect of the magnetic field the material model is specialized to that of a magnetoelastic mooneyrivlin solid depending on the magnitudes of the magnetic field and the magnetoelastic coupling parameters this shows that the halfspace may become either more stable or less stable than in the absence of a magnetic field | [['in', 'this', 'paper', 'the', 'equations', 'governing', 'the', 'deformations', 'of', 'infinitesimal', 'incremental', 'disturbances', 'superimposed', 'on', 'finite', 'static', 'deformation', 'fields', 'involving', 'magnetic', 'and', 'elastic', 'interactions', 'are', 'presented', 'the', 'coupling', 'between', 'the', 'equations', 'of', 'mechanical', 'equilibrium', 'and', 'maxwells', 'equations', 'complicates', 'the', 'incremental', 'formulation', 'and', 'particular', 'attention', 'is', 'therefore', 'paid', 'to', 'the', 'derivation', 'of', 'the', 'incremental', 'equations', 'of', 'the', 'tensors', 'of', 'magnetoelastic', 'moduli', 'and', 'of', 'the', 'incremental', 'boundary', 'conditions', 'at', 'a', 'magnetoelasticvacuum', 'interface', 'the', 'problem', 'of', 'surface', 'stability', 'for', 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0.06593396519011224] |
712.0244 | Chemical composition of A and F dwarf members of the Coma Berenices open
cluster | Abundances of 18 chemical elements have been derived for 11 A (normal and Am)
and 11 F dwarfs members of the Coma Berenices open cluster in order to set
constraints on evolutionary models including transport processes (radiative and
turbulent diffusion)calculated with the Montreal code. A spectral synthesis
iterative procedure has been applied to derive the abundances from selected
high quality lines in high resolution high signal-to-noise echelle spectra
obtained with ELODIE at the Observatoire de Haute Provence. The chemical
pattern found for the A and F dwarfs in Coma Berenices is reminiscent of that
found in the Hyades and the UMa moving group. In graphs representing the
abundances [X/H] versus the effective temperature, the A stars often display
abundances much more scattered around their mean values than the F stars do.
Large star-to-star variations are detected for A stars in their abundances
which we interpret as evidence of transport processes competing with radiative
diffusion. The F stars have solar abundances for almost all elements except for
Mg, Si, V and Ba. The derived abundances patterns, [X/H] versus atomic number,
for the slow rotator HD108642 (A2m) and the moderately fast rotator HD106887
(A4m) were compared to the predictions of self consistent evolutionary model
codes including radiative and different amounts of turbulent diffusion. None of
the models reproduces entirely the overall shape of the abundance pattern.
While part of the discrepancies between derived and predicted abundances may be
accounted for by non-LTE effects, the inclusion of competing processes such as
rotational mixing in the radiative zones of these stars seems necessary to
improve the agreement between observed and predicted abundance patterns.
| astro-ph | abundances of 18 chemical elements have been derived for 11 a normal and am and 11 f dwarfs members of the coma berenices open cluster in order to set constraints on evolutionary models including transport processes radiative and turbulent diffusioncalculated with the montreal code a spectral synthesis iterative procedure has been applied to derive the abundances from selected high quality lines in high resolution high signaltonoise echelle spectra obtained with elodie at the observatoire de haute provence the chemical pattern found for the a and f dwarfs in coma berenices is reminiscent of that found in the hyades and the uma moving group in graphs representing the abundances xh versus the effective temperature the a stars often display abundances much more scattered around their mean values than the f stars do large startostar variations are detected for a stars in their abundances which we interpret as evidence of transport processes competing with radiative diffusion the f stars have solar abundances for almost all elements except for mg si v and ba the derived abundances patterns xh versus atomic number for the slow rotator hd108642 a2m and the moderately fast rotator hd106887 a4m were compared to the predictions of self consistent evolutionary model codes including radiative and different amounts of turbulent diffusion none of the models reproduces entirely the overall shape of the abundance pattern while part of the discrepancies between derived and predicted abundances may be accounted for by nonlte effects the inclusion of competing processes such as rotational mixing in the radiative zones of these stars seems necessary to improve the agreement between observed and predicted abundance patterns | [['abundances', 'of', '18', 'chemical', 'elements', 'have', 'been', 'derived', 'for', '11', 'a', 'normal', 'and', 'am', 'and', '11', 'f', 'dwarfs', 'members', 'of', 'the', 'coma', 'berenices', 'open', 'cluster', 'in', 'order', 'to', 'set', 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712.0245 | On the Structure of Equidistant Foliations of Euclidean Space | This thesis is concerned with equidistant foliations of Euclidean space, i.e.
partitions into complete, connected, properly embedded smooth submanifolds. The
space of leaves is an Alexandrov space of nonnegative curvature and the
canonical projection is a submetry. Generalizing a result of Gromoll and
Walschap we show that an equidistant foliation always has an affine leaf and we
prove homogeneneity of the foliation under certain additional assumptions.
Moreover, we give several reducibility results and construct new (noncompact)
inhomogeneous examples of equidistant foliations.
| math.DG | this thesis is concerned with equidistant foliations of euclidean space ie partitions into complete connected properly embedded smooth submanifolds the space of leaves is an alexandrov space of nonnegative curvature and the canonical projection is a submetry generalizing a result of gromoll and walschap we show that an equidistant foliation always has an affine leaf and we prove homogeneneity of the foliation under certain additional assumptions moreover we give several reducibility results and construct new noncompact inhomogeneous examples of equidistant foliations | [['this', 'thesis', 'is', 'concerned', 'with', 'equidistant', 'foliations', 'of', 'euclidean', 'space', 'ie', 'partitions', 'into', 'complete', 'connected', 'properly', 'embedded', 'smooth', 'submanifolds', 'the', 'space', 'of', 'leaves', 'is', 'an', 'alexandrov', 'space', 'of', 'nonnegative', 'curvature', 'and', 'the', 'canonical', 'projection', 'is', 'a', 'submetry', 'generalizing', 'a', 'result', 'of', 'gromoll', 'and', 'walschap', 'we', 'show', 'that', 'an', 'equidistant', 'foliation', 'always', 'has', 'an', 'affine', 'leaf', 'and', 'we', 'prove', 'homogeneneity', 'of', 'the', 'foliation', 'under', 'certain', 'additional', 'assumptions', 'moreover', 'we', 'give', 'several', 'reducibility', 'results', 'and', 'construct', 'new', 'noncompact', 'inhomogeneous', 'examples', 'of', 'equidistant', 'foliations']] | [-0.22485162859084085, 0.10617606752111897, -0.10571116590872406, 0.09668102207651827, -0.1055388868553564, -0.1353806931641884, -0.07057653436204418, 0.3746840602485463, -0.2593855950050056, -0.1523013102763798, 0.11587171061546542, -0.273998106981162, -0.1615766428925781, 0.1600634648988489, -0.21936182996578282, 0.0025990999674831983, 0.10249008437676821, 0.07557394788600505, -0.10473903844540473, -0.2862262638751417, 0.48882367587648334, -0.03702534693220514, 0.20891735557233915, 0.05088328593046754, 0.2065742323291488, -0.0012244819139596076, -0.0033478948869742455, 0.03143378685890639, -0.19349084896139174, 0.12229344297375064, 0.22337916060350835, 0.10457120004321041, 0.21415254376188386, -0.36043738045264034, -0.17887175180949272, 0.21440493210102432, 0.14535473571741023, 0.023773404319945256, -0.006102006662695203, -0.3028151411563158, 0.06824624337295973, -0.04347465712489793, -0.2160423451452516, -0.10477493886137382, -0.009252933616517111, -0.03463044271338731, -0.17766638682223856, -0.02492894498864189, 0.17651646415470168, 0.1238746951916255, -0.11587975934380665, -0.0744196813320741, -0.08191337608732283, 0.05955209510284476, -0.007035516793257557, 0.10384451584541239, 0.055051243555499244, 0.027965957604465075, -0.11837266295915469, 0.3174802900350187, -0.06183328297338449, -0.3056137746432796, 0.11290449656080455, -0.1219665399636142, -0.18112621108302845, 0.1302751160459593, 0.11452961191534997, 0.15744252985459753, -0.08997378596395719, 0.19381709227745886, -0.10099049696000292, 0.06052674138918519, 0.13415569807402788, -0.020230853060638765, 0.09837960225704592, 0.14365261042985367, 0.20017671484965832, 0.16502426376391668, 0.002739537617890164, -0.06306832230766304, -0.3749352058861405, -0.2247292925749207, -0.15343395246891306, 0.1592644917574944, -0.15702459457024814, -0.22410938185639678, 0.3860119678603951, -0.009167182387318461, 0.23260803818702697, 0.12076335384044797, 0.2518039491027594, 0.031259708432480694, -0.01868358872452518, 0.12746587130823173, 0.1422733064595377, 0.16569835592526944, -0.041769015858881174, -0.07692602863608045, -0.0633724905521376, 0.14893003966426477] |
712.0246 | Tidal Disruption of Stellar Objects by Hard Supermassive Black Hole
Binaries | Supermassive black hole binaries (SMBHBs) are expected by the hierarchical
galaxy formation model in $\Lambda$CDM cosmology. There is some evidence in the
literature for SMBHBs in AGNs, but there are few observational constraints on
the evolution of SMBHBs in inactive galaxies and gas-poor mergers. On the
theoretical front, it is unclear how long is needed for a SMBHB in a typical
galaxy to coalesce. In this paper we investigate the tidal interaction between
stars and binary BHs and calculate the tidal disruption rates of stellar
objects by the BH components of binary. We derive the interaction cross
sections between SMBHBs and stars from intensive numerical scattering
experiments with particle number $\sim10^7$ and calculate the tidal disruption
rates by both single and binary BHs for a sample of realistic galaxy models,
taking into account the general relativistic effect and the loss cone refilling
because of two-body interaction. We estimate the frequency of tidal flares for
different types of galaxies using the BH mass function in the literature. We
find that because of the three-body slingshot effect, the tidal disruption rate
in SMBHB system is more than one order of magnitude smaller than that in single
SMBH system. The difference is more significant in less massive galaxies and
does not depend on detailed stellar dynamical processes. Our calculations
suggest that comparisons of the calculated tidal disruption rates for both
single and binary BHs and the surveys of X-ray or UV flares at galactic centers
could tell us whether most SMBHs in nearby galaxies are single and whether the
SMBHBs formed in gas-poor galaxy mergers coalesce rapidly.
| astro-ph | supermassive black hole binaries smbhbs are expected by the hierarchical galaxy formation model in lambdacdm cosmology there is some evidence in the literature for smbhbs in agns but there are few observational constraints on the evolution of smbhbs in inactive galaxies and gaspoor mergers on the theoretical front it is unclear how long is needed for a smbhb in a typical galaxy to coalesce in this paper we investigate the tidal interaction between stars and binary bhs and calculate the tidal disruption rates of stellar objects by the bh components of binary we derive the interaction cross sections between smbhbs and stars from intensive numerical scattering experiments with particle number sim107 and calculate the tidal disruption rates by both single and binary bhs for a sample of realistic galaxy models taking into account the general relativistic effect and the loss cone refilling because of twobody interaction we estimate the frequency of tidal flares for different types of galaxies using the bh mass function in the literature we find that because of the threebody slingshot effect the tidal disruption rate in smbhb system is more than one order of magnitude smaller than that in single smbh system the difference is more significant in less massive galaxies and does not depend on detailed stellar dynamical processes our calculations suggest that comparisons of the calculated tidal disruption rates for both single and binary bhs and the surveys of xray or uv flares at galactic centers could tell us whether most smbhs in nearby galaxies are single and whether the smbhbs formed in gaspoor galaxy mergers coalesce rapidly | [['supermassive', 'black', 'hole', 'binaries', 'smbhbs', 'are', 'expected', 'by', 'the', 'hierarchical', 'galaxy', 'formation', 'model', 'in', 'lambdacdm', 'cosmology', 'there', 'is', 'some', 'evidence', 'in', 'the', 'literature', 'for', 'smbhbs', 'in', 'agns', 'but', 'there', 'are', 'few', 'observational', 'constraints', 'on', 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712.0247 | The self-enrichment scenario in intermediate metallicity globular
clusters | We present stellar yields computed from detailed models of intermediate mass
asymptotic giant branch stars of low metallicity. In this work, the whole main
microphysics inputs have been updated, and in particular alpha-enhancement is
explicitly taken into account both in the opacities and equation of state. The
target of this work is to provide a basis to test the reliability of the AGB
self-enrichment scenario for Globular Clusters of intermediate metallicity.
These Globular Clusters exhibit well defined abundance patterns, which have
often been interpreted as a consequence of the pollution of the interstellar
medium by the ejecta of massive AGBs. We calculated a grid of intermediate mass
models with metallicity Z=0.001; the evolutionary sequences are followed from
the pre-Main sequence along the whole AGB phase. We focus our attention on
those elements largely studied in the spectroscopic investigations of Globular
Clusters stars, i.e. oxygen, sodium, aluminum, magnesium and fluorine.} The
predictions of our models show an encouraging agreement with the demand of the
self-enrichment scenario for what concerns the abundances of oxygen, aluminum,
fluorine and magnesium. The question of sodium is more tricky, due to the large
uncertainties of the cross-sections of the Ne-Na cycle. The present results
show that only a relatively small range of initial masses (M=5,6 solar masses)
can be responsible for the self enrichment.
| astro-ph | we present stellar yields computed from detailed models of intermediate mass asymptotic giant branch stars of low metallicity in this work the whole main microphysics inputs have been updated and in particular alphaenhancement is explicitly taken into account both in the opacities and equation of state the target of this work is to provide a basis to test the reliability of the agb selfenrichment scenario for globular clusters of intermediate metallicity these globular clusters exhibit well defined abundance patterns which have often been interpreted as a consequence of the pollution of the interstellar medium by the ejecta of massive agbs we calculated a grid of intermediate mass models with metallicity z0001 the evolutionary sequences are followed from the premain sequence along the whole agb phase we focus our attention on those elements largely studied in the spectroscopic investigations of globular clusters stars ie oxygen sodium aluminum magnesium and fluorine the predictions of our models show an encouraging agreement with the demand of the selfenrichment scenario for what concerns the abundances of oxygen aluminum fluorine and magnesium the question of sodium is more tricky due to the large uncertainties of the crosssections of the nena cycle the present results show that only a relatively small range of initial masses m56 solar masses can be responsible for the self enrichment | [['we', 'present', 'stellar', 'yields', 'computed', 'from', 'detailed', 'models', 'of', 'intermediate', 'mass', 'asymptotic', 'giant', 'branch', 'stars', 'of', 'low', 'metallicity', 'in', 'this', 'work', 'the', 'whole', 'main', 'microphysics', 'inputs', 'have', 'been', 'updated', 'and', 'in', 'particular', 'alphaenhancement', 'is', 'explicitly', 'taken', 'into', 'account', 'both', 'in', 'the', 'opacities', 'and', 'equation', 'of', 'state', 'the', 'target', 'of', 'this', 'work', 'is', 'to', 'provide', 'a', 'basis', 'to', 'test', 'the', 'reliability', 'of', 'the', 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712.0248 | Pac-Bayesian Supervised Classification: The Thermodynamics of
Statistical Learning | This monograph deals with adaptive supervised classification, using tools
borrowed from statistical mechanics and information theory, stemming from the
PACBayesian approach pioneered by David McAllester and applied to a conception
of statistical learning theory forged by Vladimir Vapnik. Using convex analysis
on the set of posterior probability measures, we show how to get local measures
of the complexity of the classification model involving the relative entropy of
posterior distributions with respect to Gibbs posterior measures. We then
discuss relative bounds, comparing the generalization error of two
classification rules, showing how the margin assumption of Mammen and Tsybakov
can be replaced with some empirical measure of the covariance structure of the
classification model.We show how to associate to any posterior distribution an
effective temperature relating it to the Gibbs prior distribution with the same
level of expected error rate, and how to estimate this effective temperature
from data, resulting in an estimator whose expected error rate converges
according to the best possible power of the sample size adaptively under any
margin and parametric complexity assumptions. We describe and study an
alternative selection scheme based on relative bounds between estimators, and
present a two step localization technique which can handle the selection of a
parametric model from a family of those. We show how to extend systematically
all the results obtained in the inductive setting to transductive learning, and
use this to improve Vapnik's generalization bounds, extending them to the case
when the sample is made of independent non-identically distributed pairs of
patterns and labels. Finally we review briefly the construction of Support
Vector Machines and show how to derive generalization bounds for them,
measuring the complexity either through the number of support vectors or
through the value of the transductive or inductive margin.
| stat.ML | this monograph deals with adaptive supervised classification using tools borrowed from statistical mechanics and information theory stemming from the pacbayesian approach pioneered by david mcallester and applied to a conception of statistical learning theory forged by vladimir vapnik using convex analysis on the set of posterior probability measures we show how to get local measures of the complexity of the classification model involving the relative entropy of posterior distributions with respect to gibbs posterior measures we then discuss relative bounds comparing the generalization error of two classification rules showing how the margin assumption of mammen and tsybakov can be replaced with some empirical measure of the covariance structure of the classification modelwe show how to associate to any posterior distribution an effective temperature relating it to the gibbs prior distribution with the same level of expected error rate and how to estimate this effective temperature from data resulting in an estimator whose expected error rate converges according to the best possible power of the sample size adaptively under any margin and parametric complexity assumptions we describe and study an alternative selection scheme based on relative bounds between estimators and present a two step localization technique which can handle the selection of a parametric model from a family of those we show how to extend systematically all the results obtained in the inductive setting to transductive learning and use this to improve vapniks generalization bounds extending them to the case when the sample is made of independent nonidentically distributed pairs of patterns and labels finally we review briefly the construction of support vector machines and show how to derive generalization bounds for them measuring the complexity either through the number of support vectors or through the value of the transductive or inductive margin | [['this', 'monograph', 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712.0249 | ECSS in the eXtreme | The ESAC Gaia team engages in a form of eXtreme programming while the DPAC
will follow a series of six month development cycles modeled on this approach.
As a project within the European Space Agency the European Committee for Space
Standardization (ECSS) standards are required. We present the bringing together
of these realms.
| astro-ph | the esac gaia team engages in a form of extreme programming while the dpac will follow a series of six month development cycles modeled on this approach as a project within the european space agency the european committee for space standardization ecss standards are required we present the bringing together of these realms | [['the', 'esac', 'gaia', 'team', 'engages', 'in', 'a', 'form', 'of', 'extreme', 'programming', 'while', 'the', 'dpac', 'will', 'follow', 'a', 'series', 'of', 'six', 'month', 'development', 'cycles', 'modeled', 'on', 'this', 'approach', 'as', 'a', 'project', 'within', 'the', 'european', 'space', 'agency', 'the', 'european', 'committee', 'for', 'space', 'standardization', 'ecss', 'standards', 'are', 'required', 'we', 'present', 'the', 'bringing', 'together', 'of', 'these', 'realms']] | [-0.13299080038900082, 0.07261246173941302, -0.10472610135966877, 0.05713741342264737, -0.11287062889281309, -0.04014761094882522, 0.10214267292868276, 0.34467277169789906, -0.2093952746429252, -0.3477843512763392, 0.17655147486014888, -0.27270617343063625, -0.10276289319483352, 0.2132532014423665, -0.11732830434492877, 0.02125605496244048, 0.1105426917652125, -0.05011366056454069, -0.009840069439719027, -0.2883313296995354, 0.2889949461831799, 0.10299744704773403, 0.2797241764107965, -0.0989620067741511, 0.08495004345083011, 0.020295241636768827, -0.12962350927574454, 0.0012389367725260836, -0.08170953816470672, 0.21426724754976775, 0.32986451250079246, 0.2612459142868108, 0.3934220550757534, -0.4107953397873438, -0.16709114568975736, 0.004460665476969707, 0.05246582782809746, 0.011315457613749939, 0.030991840626569993, -0.31506570906571624, -0.057080586124562994, -0.2648306470364332, -0.1482951847093953, -0.053216870821450116, 0.02673189978132833, 0.03927046121076136, -0.20312531691325722, -0.0694358929253693, -0.039272681335514446, 0.10422652336013205, -0.09687071159165704, -0.12363740417860308, 0.0051414006881697, 0.19855480452226298, -0.017513405628291505, 0.05318130749576497, 0.08783855434190833, -0.07841392941685077, -0.14127306159330918, 0.44494460410666914, -0.054169130581870395, -0.03993667212297332, 0.12284106833262826, -0.1673808664364635, -0.21855913939938512, 0.019502978266726406, 0.21758088532764958, 0.050356556362700915, -0.1930626613913842, 0.0522759363740542, 0.0010789020760160572, 0.14187313807811938, 0.09050559679063845, 0.00616174477662118, 0.2556144444377355, 0.24828427179523235, 0.08304331784206882, 0.10786080985980213, -0.07331797000424901, -0.10702953995469044, -0.3320388071240917, -0.15363921933227553, -0.1093308094115752, -0.001264939436091567, -0.01527367781777427, -0.12333657183983135, 0.37593690920533296, 0.09086707065690239, 0.048395674025534456, 0.026340449382638874, 0.2662751498930859, 0.02738791747009909, 0.11022170687551205, 0.06439061193668749, 0.2492712895684647, 0.007409134352544569, 0.17207665550346785, -0.1394502858385303, 0.05431827517085761, 0.03644082547639901] |
712.025 | Small overlap monoids: the word problem | We develop a combinatorial approach to the study of semigroups and monoids
with finite presentations satisfying small overlap conditions. In contrast to
existing geometric methods, our approach facilitates a sequential left-right
analysis of words which lends itself to the development of practical, efficient
computational algorithms. In particular, we obtain a highly practical linear
time solution to the word problem for monoids and semigroups with finite
presentations satisfying the condition C(4), and a polynomial time solution to
the uniform word problem for presentations satisfying the same condition.
| math.RA | we develop a combinatorial approach to the study of semigroups and monoids with finite presentations satisfying small overlap conditions in contrast to existing geometric methods our approach facilitates a sequential leftright analysis of words which lends itself to the development of practical efficient computational algorithms in particular we obtain a highly practical linear time solution to the word problem for monoids and semigroups with finite presentations satisfying the condition c4 and a polynomial time solution to the uniform word problem for presentations satisfying the same condition | [['we', 'develop', 'a', 'combinatorial', 'approach', 'to', 'the', 'study', 'of', 'semigroups', 'and', 'monoids', 'with', 'finite', 'presentations', 'satisfying', 'small', 'overlap', 'conditions', 'in', 'contrast', 'to', 'existing', 'geometric', 'methods', 'our', 'approach', 'facilitates', 'a', 'sequential', 'leftright', 'analysis', 'of', 'words', 'which', 'lends', 'itself', 'to', 'the', 'development', 'of', 'practical', 'efficient', 'computational', 'algorithms', 'in', 'particular', 'we', 'obtain', 'a', 'highly', 'practical', 'linear', 'time', 'solution', 'to', 'the', 'word', 'problem', 'for', 'monoids', 'and', 'semigroups', 'with', 'finite', 'presentations', 'satisfying', 'the', 'condition', 'c4', 'and', 'a', 'polynomial', 'time', 'solution', 'to', 'the', 'uniform', 'word', 'problem', 'for', 'presentations', 'satisfying', 'the', 'same', 'condition']] | [-0.09273952960448209, 0.05679262949283733, -0.08006555478759976, 0.10164256990605662, -0.1616367749669481, -0.14448405887260166, 0.06528725090090098, 0.3924483627427456, -0.34691810044784877, -0.24582723548993207, 0.11965876202867907, -0.23400063710936972, -0.10386642990471405, 0.20697704059421085, -0.1155122198424367, 0.08282644704504069, 0.10645317580269346, 0.05466378092505904, -0.14439612851594236, -0.24759799784839934, 0.3027039309313824, 0.024004043264011312, 0.30181828554892953, 0.06901178858378296, 0.1445691810086976, -0.018919111976703238, -0.0447579262518259, 0.00809907540678978, -0.16538553646505746, 0.13392518933721667, 0.3491847990134861, 0.15188165695059958, 0.2894397650867008, -0.4304744768021412, -0.13859197010589375, 0.14974162907090557, 0.10185150693029944, 0.12120395730287487, -0.09353671198017723, -0.26213582609455255, 0.13338987288054424, -0.15307019696419322, -0.08995309592289634, -0.06905006953016964, 0.01052305903718915, 0.0026929686252071066, -0.33057139801716995, 0.02752699051864532, 0.13253749124597497, 0.08063668933112261, -0.05657215963854173, -0.06585383747682669, 0.07495356966513968, 0.07827062382860932, 0.037061438570882, -0.013566972939622437, 0.04659995006743905, -0.09846619129462471, -0.1465083114304688, 0.4243395683723827, -0.012824690586692371, -0.24894852506343362, 0.18566290683351283, -0.09920942908975967, -0.16992399286814466, 0.12615606076961253, 0.13332831769705164, 0.15132366726716417, -0.09796762321588345, 0.12892185290192448, -0.1031269310692022, 0.12909867987036705, 0.0720204483327824, 0.03573538863836506, 0.09419972962851442, 0.15914150075932834, 0.12150825064109508, 0.17196447009134086, 0.06996690209543463, -0.06397151938358019, -0.29810266898468485, -0.1562230927506895, -0.10920218694521937, -0.008996254644020958, -0.10477097508200406, -0.24342336051902452, 0.39466747039452543, 0.14118335263933554, 0.11797123932994383, 0.18627047880558123, 0.26667057358941365, 0.09567435907313687, 0.040204637965490654, 0.0549116967852379, 0.046084704410912856, 0.16230905281791333, 0.07384107822855544, -0.1767591285779206, 0.03847033887300207, 0.17933571239023707] |
712.0251 | Duality, Magnetic space group and their applications to quantum phases
and phase transitions on bipartite lattices in several experimental systems | By using a dual vortex method, we study phases such as superfluid, solids,
supersolids and quantum phase transitions in a unified scheme in extended boson
Hubbard models at and slightly away from half filling on bipartite optical
lattices such as honeycomb and square lattice. We also map out its global phase
diagram at $ T=0 $ of chemical potential versus the ratio of kinetic energy
over the interaction. We stress the importance of the self-consistence
condition on the saddle point structure of the dual gauge fields in the
translational symmetry breaking insulating sides, especially in the charge
density wave side. We find that in the translational symmetry breaking side,
different kinds of supersolids are generic possible states slightly away from
half filling. We propose a new kind of supersolid: valence bond supersolid
(VB-SS). In this VB-SS, the density fluctuation at any site is very large
indicating its superfluid nature, but the boson kinetic energies on bonds
between two sites are given and break the lattice translational symmetries
indicating its valence bound nature. Implications on possible future QMC
simulations in both bipartite lattices are given. All these phases and phase
transitions can be potentially realized in ultra-cold atoms loaded on optical
bipartite lattices.
| cond-mat.stat-mech cond-mat.str-el math-ph math.MP | by using a dual vortex method we study phases such as superfluid solids supersolids and quantum phase transitions in a unified scheme in extended boson hubbard models at and slightly away from half filling on bipartite optical lattices such as honeycomb and square lattice we also map out its global phase diagram at t0 of chemical potential versus the ratio of kinetic energy over the interaction we stress the importance of the selfconsistence condition on the saddle point structure of the dual gauge fields in the translational symmetry breaking insulating sides especially in the charge density wave side we find that in the translational symmetry breaking side different kinds of supersolids are generic possible states slightly away from half filling we propose a new kind of supersolid valence bond supersolid vbss in this vbss the density fluctuation at any site is very large indicating its superfluid nature but the boson kinetic energies on bonds between two sites are given and break the lattice translational symmetries indicating its valence bound nature implications on possible future qmc simulations in both bipartite lattices are given all these phases and phase transitions can be potentially realized in ultracold atoms loaded on optical bipartite lattices | [['by', 'using', 'a', 'dual', 'vortex', 'method', 'we', 'study', 'phases', 'such', 'as', 'superfluid', 'solids', 'supersolids', 'and', 'quantum', 'phase', 'transitions', 'in', 'a', 'unified', 'scheme', 'in', 'extended', 'boson', 'hubbard', 'models', 'at', 'and', 'slightly', 'away', 'from', 'half', 'filling', 'on', 'bipartite', 'optical', 'lattices', 'such', 'as', 'honeycomb', 'and', 'square', 'lattice', 'we', 'also', 'map', 'out', 'its', 'global', 'phase', 'diagram', 'at', 't0', 'of', 'chemical', 'potential', 'versus', 'the', 'ratio', 'of', 'kinetic', 'energy', 'over', 'the', 'interaction', 'we', 'stress', 'the', 'importance', 'of', 'the', 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712.0252 | Structure properties of ${}^{226}$Th and ${}^{256,258,260}$Fm fission
fragments: mean field analysis with the Gogny force | The constrained Hartree-Fock-Bogoliubov method is used with the Gogny
interaction D1S to calculate potential energy surfaces of fissioning nuclei
${}^{226}$Th and ${}^{256,258,260}$Fm up to very large deformations. The
constraints employed are the mass quadrupole and octupole moments. In this
subspace of collective coordinates, many scission configurations are identified
ranging from symmetric to highly asymmetric fragmentations. Corresponding
fragment properties at scission are derived yielding fragment deformations,
deformation energies, energy partitioning, neutron binding energies at
scission, neutron multiplicities, charge polarization and total fragment
kinetic energies.
| nucl-th | the constrained hartreefockbogoliubov method is used with the gogny interaction d1s to calculate potential energy surfaces of fissioning nuclei 226th and 256258260fm up to very large deformations the constraints employed are the mass quadrupole and octupole moments in this subspace of collective coordinates many scission configurations are identified ranging from symmetric to highly asymmetric fragmentations corresponding fragment properties at scission are derived yielding fragment deformations deformation energies energy partitioning neutron binding energies at scission neutron multiplicities charge polarization and total fragment kinetic energies | [['the', 'constrained', 'hartreefockbogoliubov', 'method', 'is', 'used', 'with', 'the', 'gogny', 'interaction', 'd1s', 'to', 'calculate', 'potential', 'energy', 'surfaces', 'of', 'fissioning', 'nuclei', '226th', 'and', '256258260fm', 'up', 'to', 'very', 'large', 'deformations', 'the', 'constraints', 'employed', 'are', 'the', 'mass', 'quadrupole', 'and', 'octupole', 'moments', 'in', 'this', 'subspace', 'of', 'collective', 'coordinates', 'many', 'scission', 'configurations', 'are', 'identified', 'ranging', 'from', 'symmetric', 'to', 'highly', 'asymmetric', 'fragmentations', 'corresponding', 'fragment', 'properties', 'at', 'scission', 'are', 'derived', 'yielding', 'fragment', 'deformations', 'deformation', 'energies', 'energy', 'partitioning', 'neutron', 'binding', 'energies', 'at', 'scission', 'neutron', 'multiplicities', 'charge', 'polarization', 'and', 'total', 'fragment', 'kinetic', 'energies']] | [-0.09229116729551518, 0.22278885349557484, -0.0918475617171924, 0.16568978173976265, 0.015497366338400397, -0.0877545003654299, -0.05159576947051214, 0.3793493948888215, -0.24092882933526685, -0.31162581842665266, -0.10759955926985684, -0.30857181385522936, 0.06366651234779189, 0.09924307534976567, 0.08771249261207698, 0.05158427885233811, 0.0695542515391802, 0.06153469388202832, -0.1252412639342521, -0.11871714350801506, 0.2944925203692259, 0.14018224022442066, 0.22878969489687645, 0.0935618471774477, 0.05867922957986593, 0.029920172485772792, 0.09478729279575551, 0.00137986021865977, -0.17504312812418835, 0.11992180551879289, 0.301313605410098, 0.021685318941841038, 0.11811276132286322, -0.444302509129956, -0.14009645126941728, 0.11300440918563343, 0.10446273848391706, 0.20359556919826968, -0.049836831814723044, -0.25205470713582345, 0.0085453427220672, -0.27161344449694563, -0.1961554979519328, -0.1722787959450038, 0.07986317319432046, 0.17673119983533625, -0.22162116439331594, 0.11833960442553933, -0.03673471319602757, 0.0348766131053974, -0.18503628533174535, -0.2593984005336718, -0.11603923912852912, -0.002015327160223955, 0.11982876390343668, 0.01480657849801568, 0.2980676827691041, -0.056898282560457404, -0.02685803184200578, 0.4079409589445809, 0.10974442599931868, -0.1631388775322859, 0.13742958526865284, -0.12266737412485271, -0.16224588967132858, 0.2873038998180319, 0.18239590205343031, 0.16456265120608052, -0.1734791513725479, 0.07666153749010934, 0.10299230669057224, 0.1633920248118002, 0.16990152397193015, 0.021462100302437094, 0.23258814570016978, 0.13577436194641562, 0.004857072753621629, 0.08362332096028073, -0.17797064933380702, -0.17599642963898254, -0.3008891270586812, 0.018055754299162, -0.1521510656968486, 0.005036381453775414, -0.05569104864435957, -0.10589168712542188, 0.3503545304851198, -0.014870409950295963, 0.17752326599026963, 0.029108835327461724, 0.2197507934179157, 0.06776604122232373, 0.11312948095025892, 0.02973032541425399, 0.2771126060809077, 0.23161391736712397, 0.046582425430576065, -0.3142906457509437, -0.022338668105942084, 0.09618563793894903] |
712.0253 | Dark Energy and Dark Matter, Mirror World and E_6 Unification | In the present talk we have developed a concept of parallel ordinary (O) and
mirror (M) worlds. We have shown that in the case of a broken mirror parity
(MP), the evolutions of fine structure constants in the O- and M-worlds are not
identical. It is assumed that E_6-unification inspired by superstring theory
restores the broken MP at the scale \sim 10^{18} GeV, what unavoidably leads to
the different E_6-breakdowns at this scale: E_6 \to SO(10)\times U(1)_Z - in
the O-world, and E'_6 \to SU(6)'\times SU(2)'_Z - in the M-world. Considering
only asymptotically free theories, we have presented the running of all the
inverse gauge constants \alpha_i^{-1} in the one-loop approximation. Then a
`quintessence' scenario is discussed for the model of accelerating universe.
Such a scenario is related with an axion (`acceleron') of a new gauge group
SU(2)'_Z which has a coupling constant g_Z extremely growing at the scale
\Lambda_Z\sim 10^{-3} eV.
| hep-ph astro-ph | in the present talk we have developed a concept of parallel ordinary o and mirror m worlds we have shown that in the case of a broken mirror parity mp the evolutions of fine structure constants in the o and mworlds are not identical it is assumed that e_6unification inspired by superstring theory restores the broken mp at the scale sim 1018 gev what unavoidably leads to the different e_6breakdowns at this scale e_6 to so10times u1_z in the oworld and e_6 to su6times su2_z in the mworld considering only asymptotically free theories we have presented the running of all the inverse gauge constants alpha_i1 in the oneloop approximation then a quintessence scenario is discussed for the model of accelerating universe such a scenario is related with an axion acceleron of a new gauge group su2_z which has a coupling constant g_z extremely growing at the scale lambda_zsim 103 ev | [['in', 'the', 'present', 'talk', 'we', 'have', 'developed', 'a', 'concept', 'of', 'parallel', 'ordinary', 'o', 'and', 'mirror', 'm', 'worlds', 'we', 'have', 'shown', 'that', 'in', 'the', 'case', 'of', 'a', 'broken', 'mirror', 'parity', 'mp', 'the', 'evolutions', 'of', 'fine', 'structure', 'constants', 'in', 'the', 'o', 'and', 'mworlds', 'are', 'not', 'identical', 'it', 'is', 'assumed', 'that', 'e_6unification', 'inspired', 'by', 'superstring', 'theory', 'restores', 'the', 'broken', 'mp', 'at', 'the', 'scale', 'sim', '1018', 'gev', 'what', 'unavoidably', 'leads', 'to', 'the', 'different', 'e_6breakdowns', 'at', 'this', 'scale', 'e_6', 'to', 'so10times', 'u1_z', 'in', 'the', 'oworld', 'and', 'e_6', 'to', 'su6times', 'su2_z', 'in', 'the', 'mworld', 'considering', 'only', 'asymptotically', 'free', 'theories', 'we', 'have', 'presented', 'the', 'running', 'of', 'all', 'the', 'inverse', 'gauge', 'constants', 'alpha_i1', 'in', 'the', 'oneloop', 'approximation', 'then', 'a', 'quintessence', 'scenario', 'is', 'discussed', 'for', 'the', 'model', 'of', 'accelerating', 'universe', 'such', 'a', 'scenario', 'is', 'related', 'with', 'an', 'axion', 'acceleron', 'of', 'a', 'new', 'gauge', 'group', 'su2_z', 'which', 'has', 'a', 'coupling', 'constant', 'g_z', 'extremely', 'growing', 'at', 'the', 'scale', 'lambda_zsim', '103', 'ev']] | [-0.14653535330031373, 0.22751141466023353, -0.061668343279751486, 0.10082703386750198, -0.05657426223830402, -0.16309945552204388, -0.003130480845072338, 0.3344670945070098, -0.21299725740539785, -0.3211379574586441, 0.06933548939604388, -0.23057601800454514, -0.08125241391588839, 0.10419342459059086, -0.014650277948627869, -0.018731446401374478, -0.03775736258751681, 0.05596155316337664, -0.05573663788651224, -0.24990485129453444, 0.2846979228051088, 0.06866111346602845, 0.25509808311986476, 0.041274062718968, 0.10794544797929219, -0.05376427203138061, 0.024882975794679046, -0.044331167194181356, -0.11597890896316013, 0.08875612080173224, 0.20121504451927483, 0.053894320224114015, 0.18362857033276841, -0.38866755788271523, -0.15487647869427795, 0.11144017741609948, 0.1560110354314552, 0.09556656933886944, -0.06129530192745634, -0.2588659412509502, 0.12327732806344244, -0.18040162897003548, -0.1413036147560164, -0.011325514895150907, 0.001224410143636522, -0.09602153535653539, -0.24928934256535112, 0.06777359288483605, -0.011201232690744254, 0.02563197497709268, -0.0347234989155312, -0.09707586185335099, 0.0023818672943518174, 0.015629923911955283, 0.12714257528514405, 0.0522071692148591, 0.0904052718827615, -0.14144527061674492, -0.09786445081081925, 0.43963746373624013, -0.09533977101170489, -0.15479645909754192, 0.14470632956046484, -0.12874467767692696, -0.18478655388743495, 0.1101748626251534, 0.09140744230703635, 0.127028009828915, -0.09987693637978526, 0.236031286632658, -0.03261955153374445, 0.1572223984561924, 0.07805984399477843, -0.0030938071035621624, 0.20913185296440814, 0.13476644666092533, 0.03670027475569676, 0.03703695978711163, -0.014034168145359576, -0.0880208489497756, -0.3618386065726783, -0.11206226584938717, -0.12626719593029267, 0.0869576276493216, -0.09473670651745383, -0.12673906242648347, 0.3680247076768048, 0.10138017169776417, 0.2097334626422194, 0.03399252873880244, 0.20319009961902487, 0.09510878118097174, 0.1052534772181364, 0.06200970941520974, 0.27825738721508153, 0.11489932297976041, 0.09940385815511667, -0.23039384998799284, -0.04687260676073988, 0.09248500995711759] |
712.0254 | Diquark effects in light baryon correlators from lattice QCD | We study the role of diquarks in light baryons through point to point baryon
correlators. We contrast results from quenched simulations with ones with two
flavors of dynamical overlap fermions. The scalar, pseudoscalar and axial
vector diquarks are combined with light quarks to form color singlets. The
quenched simulation shows large zero mode effects in correlators containing the
scalar and pseudoscalar diquark. The two scalar diquarks created by gamma_5 and
gamma_0gamma_5 lead to different behavior in baryon correlators, showing that
the interaction of diquarks with the third light quark matters: we do not see
an isolated diquark. In our quark mass range, the scalar diquark created by
gamma_5 seems to play a greater role than the others.
| hep-ph hep-lat | we study the role of diquarks in light baryons through point to point baryon correlators we contrast results from quenched simulations with ones with two flavors of dynamical overlap fermions the scalar pseudoscalar and axial vector diquarks are combined with light quarks to form color singlets the quenched simulation shows large zero mode effects in correlators containing the scalar and pseudoscalar diquark the two scalar diquarks created by gamma_5 and gamma_0gamma_5 lead to different behavior in baryon correlators showing that the interaction of diquarks with the third light quark matters we do not see an isolated diquark in our quark mass range the scalar diquark created by gamma_5 seems to play a greater role than the others | [['we', 'study', 'the', 'role', 'of', 'diquarks', 'in', 'light', 'baryons', 'through', 'point', 'to', 'point', 'baryon', 'correlators', 'we', 'contrast', 'results', 'from', 'quenched', 'simulations', 'with', 'ones', 'with', 'two', 'flavors', 'of', 'dynamical', 'overlap', 'fermions', 'the', 'scalar', 'pseudoscalar', 'and', 'axial', 'vector', 'diquarks', 'are', 'combined', 'with', 'light', 'quarks', 'to', 'form', 'color', 'singlets', 'the', 'quenched', 'simulation', 'shows', 'large', 'zero', 'mode', 'effects', 'in', 'correlators', 'containing', 'the', 'scalar', 'and', 'pseudoscalar', 'diquark', 'the', 'two', 'scalar', 'diquarks', 'created', 'by', 'gamma_5', 'and', 'gamma_0gamma_5', 'lead', 'to', 'different', 'behavior', 'in', 'baryon', 'correlators', 'showing', 'that', 'the', 'interaction', 'of', 'diquarks', 'with', 'the', 'third', 'light', 'quark', 'matters', 'we', 'do', 'not', 'see', 'an', 'isolated', 'diquark', 'in', 'our', 'quark', 'mass', 'range', 'the', 'scalar', 'diquark', 'created', 'by', 'gamma_5', 'seems', 'to', 'play', 'a', 'greater', 'role', 'than', 'the', 'others']] | [-0.11477336628314365, 0.3406109330657085, -0.08888239103594217, 0.14944188316063634, -0.052944115718328875, -0.12892756144744985, 0.053511260061300005, 0.365479530413346, -0.0966836840540556, -0.240378949903594, -0.05970926137625015, -0.3431024622605664, -0.042161853801346676, 0.02844068568685606, 0.0938017022844147, 0.017560125722003907, 0.03316458888303746, 0.034992642961603045, -0.06527834975538005, -0.27839124635472123, 0.4022750073144662, -0.10009122266562591, 0.19916431943821752, 0.14885346051947823, -0.0067485184007292165, 0.029723953493822623, -0.026040633867398418, -0.06990275470989532, -0.029417792867363835, 0.010630136584574035, 0.15317572384685327, 0.0171949287579427, 0.16292888250057425, -0.39329384045739624, -0.177271211539909, 0.1646876035193945, 0.2200131394442749, 0.13982195618305485, -0.07890842726518368, -0.3097129914636627, 0.0952607517869308, -0.18040938080280441, -0.20143401963186675, -0.1246561796388364, -0.06140433833934367, -0.055157770663660406, -0.33040143356754864, 0.13836730402043282, -0.04261911236645919, 0.03881558848962445, -0.01321912801760281, -0.23021470709575403, -0.08262923838980175, 0.04328676605504809, 0.14661842464381059, 0.10060193832634531, 0.1548616144422779, -0.23533746681641787, -0.13477857328614157, 0.4090571708511561, -0.12691405188688176, -0.2057912671207932, 0.13799745491545262, -0.1542653906448134, -0.08408741386816034, 0.0744432527090198, 0.18046572052970014, 0.05686631335090075, -0.16552332681523443, 0.041082729591992044, -0.03607076056430052, 0.17987177455607112, 0.0784035117630365, 0.08867287999902178, 0.31478962824069734, 0.11640644013271506, -0.06532544150330319, 0.0995867650751185, 0.01044748608992136, -0.15190590492546044, -0.3466362790044012, -0.10417395415274298, -0.1325445105590163, 0.032284707166550575, -0.1275692018315222, -0.10654636097425627, 0.40414818099113825, 0.1155730999307707, 0.21050567684919927, -0.03297618720610224, 0.27567814126739215, 0.03994109703665439, 0.11672363823665113, 0.1106321924117169, 0.2990402277872159, 0.20728241552293686, 0.1523781698879561, -0.28657117827016665, -0.14414303908967574, 0.07494138735988788] |
712.0255 | Confined nanorods: jamming due to helical buckling | We investigate a longitudinally loaded elastic nanorod inside a cylindrical
channel and show within the context of classical elasticity theory that the
Euler buckling instability leads to a helical postbuckling form of the rod
within the channel. The local pitch of the confined helix changes along the
channel and so does the longitudinal force transmitted along the rod,
diminishing away from the loaded end. This creates a possibility of jamming of
the nanorod within the channel.
| cond-mat.soft | we investigate a longitudinally loaded elastic nanorod inside a cylindrical channel and show within the context of classical elasticity theory that the euler buckling instability leads to a helical postbuckling form of the rod within the channel the local pitch of the confined helix changes along the channel and so does the longitudinal force transmitted along the rod diminishing away from the loaded end this creates a possibility of jamming of the nanorod within the channel | [['we', 'investigate', 'a', 'longitudinally', 'loaded', 'elastic', 'nanorod', 'inside', 'a', 'cylindrical', 'channel', 'and', 'show', 'within', 'the', 'context', 'of', 'classical', 'elasticity', 'theory', 'that', 'the', 'euler', 'buckling', 'instability', 'leads', 'to', 'a', 'helical', 'postbuckling', 'form', 'of', 'the', 'rod', 'within', 'the', 'channel', 'the', 'local', 'pitch', 'of', 'the', 'confined', 'helix', 'changes', 'along', 'the', 'channel', 'and', 'so', 'does', 'the', 'longitudinal', 'force', 'transmitted', 'along', 'the', 'rod', 'diminishing', 'away', 'from', 'the', 'loaded', 'end', 'this', 'creates', 'a', 'possibility', 'of', 'jamming', 'of', 'the', 'nanorod', 'within', 'the', 'channel']] | [-0.2208156110657575, 0.18091759273145153, -0.08629806058505844, -0.02101239205895629, -0.04567318548154282, -0.16807589436096973, 0.054474641363700164, 0.3627066546805987, -0.33175710127934027, -0.19279955097131038, 0.04573420165750002, -0.24840372832381705, -0.14038037753811008, 0.07333689266325612, 0.0028816740622891017, 0.04466284073791221, 0.007498071247123574, 0.0356464188080281, -0.05227612198857395, -0.09937604418710659, 0.2635513246365774, 0.059644495443391954, 0.34426416606201155, 0.048289067087400904, 0.09468819475870605, 0.07710734351636156, 0.044631021759031636, 0.04383044014684856, -0.19013341359756228, 0.08183983468849251, 0.12934547822040163, -0.044654038949183336, 0.25203796528206257, -0.5177989450871552, -0.20467817116724818, 0.005668498097771877, 0.19950664624277697, 0.14571496341867665, -0.01103666483878011, -0.2493778253648136, 0.058499946712369195, -0.15520736988707395, -0.17925139829075257, 0.07270563325207484, -0.014373471739848978, 0.056818540257058646, -0.2304502398780498, 0.09204609876523089, 0.08505717959058912, 0.02138169500731716, -0.11385702545215425, -0.04087587015850371, -0.03501596096229102, 0.07979115587046468, 0.0873222514545839, 0.03990719501713389, 0.24124836557740836, -0.16164204760800777, -0.02173679630198565, 0.39892156020199, -0.028053078420558257, -0.21864639857698134, 0.11256809858605266, -0.16251132124422216, 0.01770435498512693, 0.2207660195050075, 0.2342535836475068, 0.027245963298666635, -0.08844489030736058, 0.0048642790199281945, -0.07181893903180026, 0.19028051865691514, 0.142480532105669, -0.031084921119097424, 0.2555817792094068, 0.19536684605440027, 0.02431908148144813, 0.23465895627956151, -0.17245457659622557, -0.11442507475026344, -0.3203023835820587, -0.16967782986007238, -0.12477217058308031, 0.011617862490790063, -0.05504678581852013, -0.2082202980463511, 0.3929843367659487, 0.05270592880936563, 0.17725309320284346, 0.04584248308214898, 0.29046316348984347, 0.018729168407030795, 0.08990189222324836, 0.05112662627729342, 0.3198473180435892, 0.16561302426577496, 0.11686357243237772, -0.2589994883991925, 0.040879649275570716, -0.014832735637594996] |
712.0256 | Hamiltonian Design in Atom-Light Interactions with Rubidium Ensembles: A
Quantum Information Toolbox | We study the coupling between collective variables of atomic spin and light
polarization in an ensemble of cold 87Rb probed with polarized light. The
effects of multiple hyperfine levels manifest themselves as a rank-2 tensor
polarizability, whose irreducible components can be selected by means of probe
detuning. The D1 and D2 lines of Rb are explored and we identify different
detunings which lead to Hamiltonians with different symmetries for rotations.
As possible applications of these Hamiltonians, we describe schemes for spin
squeezing, quantum cloning, quantum memory, and measuring atom number.
| quant-ph | we study the coupling between collective variables of atomic spin and light polarization in an ensemble of cold 87rb probed with polarized light the effects of multiple hyperfine levels manifest themselves as a rank2 tensor polarizability whose irreducible components can be selected by means of probe detuning the d1 and d2 lines of rb are explored and we identify different detunings which lead to hamiltonians with different symmetries for rotations as possible applications of these hamiltonians we describe schemes for spin squeezing quantum cloning quantum memory and measuring atom number | [['we', 'study', 'the', 'coupling', 'between', 'collective', 'variables', 'of', 'atomic', 'spin', 'and', 'light', 'polarization', 'in', 'an', 'ensemble', 'of', 'cold', '87rb', 'probed', 'with', 'polarized', 'light', 'the', 'effects', 'of', 'multiple', 'hyperfine', 'levels', 'manifest', 'themselves', 'as', 'a', 'rank2', 'tensor', 'polarizability', 'whose', 'irreducible', 'components', 'can', 'be', 'selected', 'by', 'means', 'of', 'probe', 'detuning', 'the', 'd1', 'and', 'd2', 'lines', 'of', 'rb', 'are', 'explored', 'and', 'we', 'identify', 'different', 'detunings', 'which', 'lead', 'to', 'hamiltonians', 'with', 'different', 'symmetries', 'for', 'rotations', 'as', 'possible', 'applications', 'of', 'these', 'hamiltonians', 'we', 'describe', 'schemes', 'for', 'spin', 'squeezing', 'quantum', 'cloning', 'quantum', 'memory', 'and', 'measuring', 'atom', 'number']] | [-0.1568461253091098, 0.28367462758016904, -3.737801453098655e-05, 0.011151063236563155, 0.016450153415401778, -0.20877278080830972, 0.025445340007233124, 0.43195852467583284, -0.23717152368691233, -0.28283439618017936, -0.009666090837628063, -0.2420099244142572, -0.0669609274301264, 0.17931158086284996, 0.059433021148045856, 0.03703211756526596, -0.02471143283570806, -0.027668996419136723, -0.06622143845759436, -0.207013673045569, 0.3283188112390538, -0.008943502899880211, 0.2580975684026877, 0.031713104868928595, 0.11293920984284746, 0.013386397265518706, 0.028532531790228355, -0.017316058287138326, -0.05889706207542784, 0.09634842477842337, 0.2898783003652675, 0.06717333497686519, 0.16116501778985062, -0.4371354906095399, -0.16680935944766842, 0.13365036024608545, 0.14374459234273268, 0.22141914227848045, 0.010251340683963564, -0.3341612475510273, -0.07757761208340526, -0.15697452761232852, -0.164686072891992, -0.2079091732028044, 0.022136421739641164, 0.021522041578363214, -0.2601126037951973, 0.045780329902966814, 0.03873919375861685, 0.12311917778311504, -0.048056075059705314, -0.12819796069266481, -0.023552731378003955, 0.09992649854523027, 0.0004180174915947848, -0.03802050456740997, 0.1824672618518687, -0.11062967665234788, -0.16408686282941037, 0.38196991725514334, -0.08683152892626822, -0.182218923787069, 0.1538488357120918, -0.13122681483315926, -0.09297745168312556, 0.07551988796330988, 0.1622957802274161, 0.12174272361314958, -0.09319330668076872, 0.035859833189493255, -0.006072324395386709, 0.17159402158318293, 0.13072379922959954, 0.18965766115321053, 0.24024383743397063, 0.06856446695617503, 0.00988757782284261, 0.15640714015074383, -0.10894679574088918, -0.10681991692334931, -0.26902596998196615, -0.14054606031729944, -0.1922907318531846, 0.10239328503505224, -0.09087666475226999, -0.09769834502496653, 0.4066935056923992, 0.1140527502581891, 0.18141554135686924, -0.0592768258919629, 0.266035410327216, 0.11459892158034361, 0.06033206439266602, 0.010693916849171122, 0.2609438076718814, 0.2137529459497374, -0.0036142625328567293, -0.33104940451578135, -0.027398415168540344, -0.007324077199316687] |
712.0257 | Contributions from SUSY-FCNC couplings to the interpretation of the
HyperCP events for the decay \Sigma^+ \to p \mu^+ \mu^- | The observation of three events for the decay $\Sigma^+ \to p \mu^+ \mu^-$
with a dimuon invariant mass of $214.3\pm0.5$MeV by the HyperCP collaboration
imply that a new particle X may be needed to explain the observed dimuon
invariant mass distribution. We show that there are regions in the SUSY-FCNC
parameter space where the $A^0_1$ in the NMSSM can be used to explain the
HyperCP events without contradicting all the existing constraints from the
measurements of the kaon decays, and the constraints from the $K^0-\bar{K}^0$
mixing are automatically satisfied once the constraints from kaon decays are
satisfied.
| hep-ph | the observation of three events for the decay sigma to p mu mu with a dimuon invariant mass of 2143pm05mev by the hypercp collaboration imply that a new particle x may be needed to explain the observed dimuon invariant mass distribution we show that there are regions in the susyfcnc parameter space where the a0_1 in the nmssm can be used to explain the hypercp events without contradicting all the existing constraints from the measurements of the kaon decays and the constraints from the k0bark0 mixing are automatically satisfied once the constraints from kaon decays are satisfied | [['the', 'observation', 'of', 'three', 'events', 'for', 'the', 'decay', 'sigma', 'to', 'p', 'mu', 'mu', 'with', 'a', 'dimuon', 'invariant', 'mass', 'of', '2143pm05mev', 'by', 'the', 'hypercp', 'collaboration', 'imply', 'that', 'a', 'new', 'particle', 'x', 'may', 'be', 'needed', 'to', 'explain', 'the', 'observed', 'dimuon', 'invariant', 'mass', 'distribution', 'we', 'show', 'that', 'there', 'are', 'regions', 'in', 'the', 'susyfcnc', 'parameter', 'space', 'where', 'the', 'a0_1', 'in', 'the', 'nmssm', 'can', 'be', 'used', 'to', 'explain', 'the', 'hypercp', 'events', 'without', 'contradicting', 'all', 'the', 'existing', 'constraints', 'from', 'the', 'measurements', 'of', 'the', 'kaon', 'decays', 'and', 'the', 'constraints', 'from', 'the', 'k0bark0', 'mixing', 'are', 'automatically', 'satisfied', 'once', 'the', 'constraints', 'from', 'kaon', 'decays', 'are', 'satisfied']] | [-0.08465192357176228, 0.2542091838525314, -0.0975893944109741, 0.15638300897063392, -0.07508246288879922, -0.1265309661136646, 0.05974274428904449, 0.26708970677695776, -0.23047189853938393, -0.3085423745214939, 0.042730937226626436, -0.3175870525993799, -0.008534957331262137, 0.16286780603450576, 0.012326462253143914, 0.1083107739735983, 0.08594447626291137, 0.03247574756019994, -0.08583192041535911, -0.2031214314292332, 0.32791362947318703, 0.0022370174674219206, 0.1751897145160719, 0.07113446748178257, 0.032786505046839776, -0.04683509777839247, -0.05883943007180565, -0.02007636000972094, -0.16032656157269803, 0.032367532229737234, 0.19738314751731723, 0.15743396120317477, 0.08897622004151344, -0.3289917120881575, -0.1396186651956094, 0.2092118630969995, 0.14741898929504188, 0.013380164623652635, -0.05818727581124557, -0.3649022295678917, 0.13755556804765212, -0.1361470606374113, -0.06186646220617389, -0.037925768849488936, -0.01359965421847607, -0.025189490106544997, -0.4040854991364636, 0.09607456299035173, -0.014397463001506893, -0.023321330834082082, -0.03471111815765892, -0.1584074301007939, -0.05399745958612153, 0.07554626950111828, 0.16470854747060099, 0.06184827246164021, 0.16837219759135655, -0.11975986817116407, -0.14282573405653237, 0.389821452559217, -0.06443570532198799, -0.20758283179449408, 0.12955625628084436, -0.23673190628913673, -0.18913848080525272, 0.17375373882486633, 0.16024395342131978, 0.036594959426867336, -0.20093665709351435, 0.128260112102266, -0.07544977413000245, 0.16691627489696992, 0.054100051752634735, 0.06981278665755924, 0.22116519457807665, 0.14856696383733498, 0.03932784050703049, 0.02788547581110738, -0.10374633088511856, -0.039289769123455415, -0.40183167853637747, -0.11712469068711232, -0.10571124081769467, 0.049295617635116765, -0.029968844954457476, -0.022454382508601014, 0.3522647112068769, 0.11417408276863984, 0.33126269135820235, 0.044379663202715545, 0.2623585046219983, 0.10970029145552727, 0.1181275909472453, 0.05557020223993612, 0.30861859870584385, 0.10954955736861417, 0.1066466652151001, -0.25093803886373184, 0.0763927258011934, 0.0031906648048836933] |
712.0258 | Extragalactic sources towards the central region of the Galaxy | We have observed a sample of 64 small diameter sources towards the central -6
degree < l< 6 degree, -2 degree < b < 2 degree of the Galaxy with the aim of
studying the Faraday rotation measure near the Galactic Centre (GC) region. All
the sources were observed at 6 and 3.6 cm wavelengths using the ATCA and the
VLA. Fifty nine of these sources are inferred to be extragalactic. The
observations presented here constitute the first systematic study of the radio
polarisation properties of the background sources towards this direction and
increases the number of known extragalactic radio sources in this part of the
sky by almost an order of magnitude. Based on the morphology, spectral indices
and lack of polarised emission, we identify four Galactic HII regions in the
sample.
| astro-ph | we have observed a sample of 64 small diameter sources towards the central 6 degree l 6 degree 2 degree b 2 degree of the galaxy with the aim of studying the faraday rotation measure near the galactic centre gc region all the sources were observed at 6 and 36 cm wavelengths using the atca and the vla fifty nine of these sources are inferred to be extragalactic the observations presented here constitute the first systematic study of the radio polarisation properties of the background sources towards this direction and increases the number of known extragalactic radio sources in this part of the sky by almost an order of magnitude based on the morphology spectral indices and lack of polarised emission we identify four galactic hii regions in the sample | [['we', 'have', 'observed', 'a', 'sample', 'of', '64', 'small', 'diameter', 'sources', 'towards', 'the', 'central', '6', 'degree', 'l', '6', 'degree', '2', 'degree', 'b', '2', 'degree', 'of', 'the', 'galaxy', 'with', 'the', 'aim', 'of', 'studying', 'the', 'faraday', 'rotation', 'measure', 'near', 'the', 'galactic', 'centre', 'gc', 'region', 'all', 'the', 'sources', 'were', 'observed', 'at', '6', 'and', '36', 'cm', 'wavelengths', 'using', 'the', 'atca', 'and', 'the', 'vla', 'fifty', 'nine', 'of', 'these', 'sources', 'are', 'inferred', 'to', 'be', 'extragalactic', 'the', 'observations', 'presented', 'here', 'constitute', 'the', 'first', 'systematic', 'study', 'of', 'the', 'radio', 'polarisation', 'properties', 'of', 'the', 'background', 'sources', 'towards', 'this', 'direction', 'and', 'increases', 'the', 'number', 'of', 'known', 'extragalactic', 'radio', 'sources', 'in', 'this', 'part', 'of', 'the', 'sky', 'by', 'almost', 'an', 'order', 'of', 'magnitude', 'based', 'on', 'the', 'morphology', 'spectral', 'indices', 'and', 'lack', 'of', 'polarised', 'emission', 'we', 'identify', 'four', 'galactic', 'hii', 'regions', 'in', 'the', 'sample']] | [-0.09938732249877201, 0.09232587240952013, 0.0005466686167682592, 0.031810962758027014, -0.05290357112669601, -0.005168364472830525, 0.050098294909828554, 0.43580124226327127, -0.1777669881291401, -0.37113880401907057, 0.08753503776477793, -0.3222601080743166, -0.01231498931033107, 0.19546167028020137, 0.036504520492739036, -0.05096966316207097, -0.025320189125620975, -0.0621498065140958, 0.01688139765935305, -0.24302186898600597, 0.29614180592246925, 0.09545635595702781, 0.21437450387658408, -0.025609136580561215, 0.08969143583940772, -0.09482006543817428, -0.1545107325538993, -0.009479590261784883, -0.09807235872587905, 0.11869048685408555, 0.23723818750586362, 0.12971044423667571, 0.165807452898186, -0.31704367623035346, -0.1880711477661792, 0.11155189884873555, 0.14356709957445182, 0.05604024953208864, -0.021176476738093277, -0.27127121584489944, 0.09359787768469408, -0.1268008406242678, -0.25349437354777293, 0.09139917896379932, 0.05339317045783481, 0.04985195169619356, -0.12949955821789513, 0.0892387341246761, 0.022425019801057017, 0.156731508528957, -0.07682868159519365, -0.16331817442909458, -0.022036258625583005, 0.11795531880432883, -0.010003993094253998, 0.0939106279787106, 0.136629039932114, -0.1256844294615663, -0.10147531388255839, 0.3562699059812495, -0.024975542079370756, -0.03153838864885844, 0.19447656631505547, -0.27241543008802604, -0.2017384830336176, 0.17829155089118734, 0.1934932507861119, 0.12203699715005664, -0.14566106484629787, 0.022703306511259423, -0.003461021543122255, 0.22717079448585326, 0.0729988464476684, 0.09141363668302521, 0.2616804973938717, 0.09076041245179323, 0.07826604389836295, 0.1636265543782009, -0.3105971326567949, 0.02173521501871829, -0.29433701248266375, -0.07534853525889608, -0.13789600209924036, 0.12057971769513992, -0.15694724125026438, -0.07566215891095524, 0.4167321772225058, 0.09188355251143758, 0.19738977408896272, 0.036601738283374846, 0.2809683370618866, 0.043510225218219255, 0.0886719600633324, 0.11666966815111944, 0.3281272246144139, 0.1788915467269432, 0.07487603209626216, -0.18317909285855982, 0.028374243749735448, -0.04053831833343093] |
712.0259 | Photo-Emission of a Single-Electron Wave-Packet in a Strong Laser Field | The radiation emitted by a single-electron wave packet in an intense laser
field is considered. A relation between the exact quantum formulation and its
classical counterpart is established via the electron's Wigner function. In
particular we show that the wave packet, even when it spreads to the scale of
the wavelength of the driving laser field, cannot be treated as an extended
classical charge distribution but rather behaves as a point-like emitter
carrying information on its initial quantum state. We outline an experimental
setup dedicated to put this conclusion to the test.
| quant-ph physics.atom-ph | the radiation emitted by a singleelectron wave packet in an intense laser field is considered a relation between the exact quantum formulation and its classical counterpart is established via the electrons wigner function in particular we show that the wave packet even when it spreads to the scale of the wavelength of the driving laser field cannot be treated as an extended classical charge distribution but rather behaves as a pointlike emitter carrying information on its initial quantum state we outline an experimental setup dedicated to put this conclusion to the test | [['the', 'radiation', 'emitted', 'by', 'a', 'singleelectron', 'wave', 'packet', 'in', 'an', 'intense', 'laser', 'field', 'is', 'considered', 'a', 'relation', 'between', 'the', 'exact', 'quantum', 'formulation', 'and', 'its', 'classical', 'counterpart', 'is', 'established', 'via', 'the', 'electrons', 'wigner', 'function', 'in', 'particular', 'we', 'show', 'that', 'the', 'wave', 'packet', 'even', 'when', 'it', 'spreads', 'to', 'the', 'scale', 'of', 'the', 'wavelength', 'of', 'the', 'driving', 'laser', 'field', 'can', 'not', 'be', 'treated', 'as', 'an', 'extended', 'classical', 'charge', 'distribution', 'but', 'rather', 'behaves', 'as', 'a', 'pointlike', 'emitter', 'carrying', 'information', 'on', 'its', 'initial', 'quantum', 'state', 'we', 'outline', 'an', 'experimental', 'setup', 'dedicated', 'to', 'put', 'this', 'conclusion', 'to', 'the', 'test']] | [-0.14605873909225608, 0.1644067108793552, -0.12231600957532082, 0.10828631914499896, -0.04191995621784039, -0.14042131942997296, 0.04345372075875921, 0.40250549873998087, -0.255949587511119, -0.25694514296308, 0.04965512388415875, -0.25885177463773756, -0.08547626734180476, 0.20990766610910175, -0.0025352780977564472, 0.03404064141889854, 0.02544441886286261, 0.04802701123539479, -0.02971509304298188, -0.17713419524752486, 0.28536598014354864, 0.11775370828196487, 0.29012656110208684, 0.044042490487818116, 0.0978968705761657, 0.05704711491282108, 0.036923397102102795, -0.011210838993710856, -0.07466811423920038, 0.02288036917646726, 0.21267966339264505, 0.1054423283985866, 0.25734515318406687, -0.47755708921981116, -0.2425779099926673, 0.05509061340533037, 0.13600558842662522, 0.1605677825989582, -0.07350777188361052, -0.3097248611250712, 0.002403664632990796, -0.1784333020300975, -0.18803917948577192, 0.007947659670745814, 0.020562701931183217, 0.024542648084862256, -0.23579222853646004, 0.03180057468063008, 0.04746526089416797, -0.016499891636833068, -0.045073751605526416, -0.024959843675856307, -0.007286817556427371, 0.0843443948245402, 0.0397998697865474, 0.11048907794243586, 0.16403275267947065, -0.1560482209002579, -0.09361782027108054, 0.38460217362209675, -0.07679799394631978, -0.22080667429072884, 0.15216052834124816, -0.164286727421186, -0.020291531688824135, 0.12128761404704663, 0.0996848079526136, 0.1186875473377445, -0.13498391250917632, 0.04313224390266784, -0.03288389122588009, 0.2014438479698153, 0.07613719359881455, 0.09508168708873532, 0.22352262851732072, 0.1346747564322125, 0.05733780703577463, 0.1807732627644474, -0.11209796744358716, -0.12474338873790236, -0.31299452311409415, -0.153967940090825, -0.24305664912186642, 0.12155511355767983, -0.008162036968579126, -0.16546685174257764, 0.37436197962241385, 0.14980416792890516, 0.13225603084109963, -0.010690934675675567, 0.3123099778338225, 0.19714312841965548, 0.02956948563536649, 0.036307300511066634, 0.2774193632423938, 0.13934204564828823, 0.09648984040994878, -0.2204633461867249, 0.008643252154191336, -0.00632583004202173] |
712.026 | Die lokale Struktur von T-Dualit\"atstripeln | We show that the $C^*$-algebraic approach to T-duality of Mathai and
Rosenberg is equivalent to the topological approach of Bunke and Schick.
| math.OA math.AT | we show that the calgebraic approach to tduality of mathai and rosenberg is equivalent to the topological approach of bunke and schick | [['we', 'show', 'that', 'the', 'calgebraic', 'approach', 'to', 'tduality', 'of', 'mathai', 'and', 'rosenberg', 'is', 'equivalent', 'to', 'the', 'topological', 'approach', 'of', 'bunke', 'and', 'schick']] | [-0.09541630253873089, 0.026834798415868798, -0.18247913061217827, 0.10684102805945175, -0.12281716581095349, -0.15056326655163008, 0.031730215149846946, 0.36586649783632974, -0.273457140407779, -0.24176880888725547, 0.020528842250562528, -0.24614932455799796, -0.2804359571838921, 0.17451648668132044, -0.2617640991441228, 0.05783552631989799, -0.027543870732188225, -0.03757599199360067, -0.09186345587526872, -0.2985391928391023, 0.37801505388184026, 0.014986461044331505, 0.2987941246141087, 0.10601095550439575, 0.13376085832715034, -0.015528186605396595, -0.04125853517854756, 0.022041961381381207, -0.13607329063663862, 0.19357493354684926, 0.2291380429471081, 0.11078614328818565, 0.1263310485942797, -0.30818802533163264, -0.16176464290104128, 0.02009111689403653, 0.051081929271194065, 0.08226120759817687, 0.07597541089423678, -0.4136421132663434, 0.17368748716332696, -0.2108673917298967, -0.051678142341023144, -0.17090246284549887, 0.06360577250068838, -0.0770194311202927, -0.20713384161618623, 0.02080418694425713, 0.1675185425715013, 0.013532926116816023, -0.09187010988931764, -0.011277559552003037, -0.07625319351526824, 0.026615069332447918, 0.07827853973404589, 0.07864484034309333, 0.06741300549104133, -0.033679023893042045, -0.19701894770630382, 0.3402601875026118, -0.05710791914977811, -0.160869813693518, 0.1559023314092139, -0.08748613401654769, -0.21372409063306722, 0.04132042054764249, -0.02181839214807207, 0.17320481044324962, -0.06208632245067169, 0.19636756079588932, -0.10278200324286114, 0.031703824854709885, 0.0734103007919409, -0.04799379186112095, 0.059356155381961304, 0.06530650146305561, 0.061067665588449345, 0.164285609257852, 0.007511971687728708, -0.04694243427366018, -0.28392766128209507, -0.2601807523010807, -0.11799014765578746, 0.1503563039428131, 0.02138274531435772, -0.15040276252495294, 0.3981875494461168, 0.22621021284298462, 0.1053174033083699, 0.09622741880064661, 0.19446934895081955, 0.06211519436064092, -0.00799967297776179, 0.05828507856296545, 0.16111132384023882, 0.25901342217217793, 0.009444768963889643, -0.27174341189675033, -0.16921737768941306, 0.26074015484614804] |
712.0261 | Koszul complexes and fully faithful integral functors | We characterise those objects in the derived category of a scheme which are a
sheaf supported on a closed subscheme in terms of Koszul complexes. This is
applied to generalize to arbitrary schemes the fully faithfullness criteria of
an integral functor.
| math.AG | we characterise those objects in the derived category of a scheme which are a sheaf supported on a closed subscheme in terms of koszul complexes this is applied to generalize to arbitrary schemes the fully faithfullness criteria of an integral functor | [['we', 'characterise', 'those', 'objects', 'in', 'the', 'derived', 'category', 'of', 'a', 'scheme', 'which', 'are', 'a', 'sheaf', 'supported', 'on', 'a', 'closed', 'subscheme', 'in', 'terms', 'of', 'koszul', 'complexes', 'this', 'is', 'applied', 'to', 'generalize', 'to', 'arbitrary', 'schemes', 'the', 'fully', 'faithfullness', 'criteria', 'of', 'an', 'integral', 'functor']] | [-0.20379523844458164, -0.05540036008133029, -0.11314110674429685, 0.10790102272294462, -0.06837703930214048, -0.10138888325309381, -0.01112438617274165, 0.39629265693947674, -0.3583066089078784, -0.15809324856381862, 0.07026332934037782, -0.13811234907625475, -0.10388429660815746, 0.22347149420529605, -0.22769934677053244, -0.05944222661200911, 0.05058464445755817, 0.06994298801291735, -0.04716835161671042, -0.29780815369449554, 0.45372938895598053, -0.021287105907686055, 0.2544470777735114, 0.018026687105884776, 0.13963866943959147, -0.06297742826864124, -0.040116748143918815, 0.044445315888151524, -0.17550209253968205, 0.20270939880865627, 0.3454843547195196, 0.05287910362239927, 0.16978574011300224, -0.38739012223668395, -0.135760700609535, 0.15202845179010183, 0.14502856138860806, 0.07627235868421849, 0.03282212543708738, -0.2996478281915188, 0.13225414713378997, -0.2237933699740097, -0.1372190137859434, -0.07491391173098236, 0.03985640981700271, 0.05526070090709254, -0.30314508710289373, -0.06803832082659937, 0.03551085791550577, 0.1133197386865504, -0.14044870043871924, -0.020895222085528076, -0.051591175608336926, 0.07097487079736312, -0.11515551910852082, 0.05898943010251969, 0.1288204327924177, -0.11869663863326423, -0.15694864795077593, 0.37349809473380446, -0.06963973909150808, -0.2789254345232621, 0.15560629143728874, -0.12700376973953098, -0.12129082009196282, 0.18538963446626439, 0.03382711508311331, 0.22624083689879626, -0.0966937501449138, 0.15470883895177395, -0.10703487899154425, 0.04905756958760321, 0.04054586071288213, 0.06671818327158689, 0.12559092106530442, 0.10606558453291655, 0.03803028893889859, 0.15182671184884383, 0.014793145685689523, -0.05337272929027677, -0.35453819585964086, -0.2063458242919296, -0.10045587867498398, 0.0837018950143829, -0.02983881940599531, -0.1906122206710279, 0.3658154223553538, 0.10231969989836216, 0.2067383353598416, 0.11525592138350475, 0.279032647702843, 0.08491984216962009, 0.07212289574881652, 0.01235989984124899, 0.14998392874840646, 0.2529181905090809, -0.005685696646105498, -0.08977498864987865, 0.009366500040050596, 0.21964249364100397] |
712.0262 | The XMM-LSS cluster sample and its cosmological applications. Prospects
for the XMM next decade | The well defined selection function of the XMM-LSS survey enables a
simultaneous modelling of the observed cluster number counts and of the
evolution of the L-T relation. We present results pertaining to the first 5
deg2 for a well controlled sample comprising 30 objects: they are compatible
with the WMAP3 parameter set along with cluster self-similar evolution.
Extending such a survey to 200 deg2 would (1) allow discriminating between the
major scenarios of the cluster L-T evolution and (2) provide a unique
self-sufficient determination of sigma8 and Gamma with an accuracy of ~ 5% and
10% respectively, when adding mass information from weak lensing and S-Z
observations.
| astro-ph | the well defined selection function of the xmmlss survey enables a simultaneous modelling of the observed cluster number counts and of the evolution of the lt relation we present results pertaining to the first 5 deg2 for a well controlled sample comprising 30 objects they are compatible with the wmap3 parameter set along with cluster selfsimilar evolution extending such a survey to 200 deg2 would 1 allow discriminating between the major scenarios of the cluster lt evolution and 2 provide a unique selfsufficient determination of sigma8 and gamma with an accuracy of 5 and 10 respectively when adding mass information from weak lensing and sz observations | [['the', 'well', 'defined', 'selection', 'function', 'of', 'the', 'xmmlss', 'survey', 'enables', 'a', 'simultaneous', 'modelling', 'of', 'the', 'observed', 'cluster', 'number', 'counts', 'and', 'of', 'the', 'evolution', 'of', 'the', 'lt', 'relation', 'we', 'present', 'results', 'pertaining', 'to', 'the', 'first', '5', 'deg2', 'for', 'a', 'well', 'controlled', 'sample', 'comprising', '30', 'objects', 'they', 'are', 'compatible', 'with', 'the', 'wmap3', 'parameter', 'set', 'along', 'with', 'cluster', 'selfsimilar', 'evolution', 'extending', 'such', 'a', 'survey', 'to', '200', 'deg2', 'would', '1', 'allow', 'discriminating', 'between', 'the', 'major', 'scenarios', 'of', 'the', 'cluster', 'lt', 'evolution', 'and', '2', 'provide', 'a', 'unique', 'selfsufficient', 'determination', 'of', 'sigma8', 'and', 'gamma', 'with', 'an', 'accuracy', 'of', '5', 'and', '10', 'respectively', 'when', 'adding', 'mass', 'information', 'from', 'weak', 'lensing', 'and', 'sz', 'observations']] | [-0.09466267253254664, 0.07319084314296115, -0.046598584645972496, 0.05671709689821275, -0.09498253295786749, -0.05937012102244035, 0.0650438274111915, 0.35377921578737925, -0.2310383349024462, -0.4237169370951377, 0.09550987799895734, -0.30106666288777906, -0.031753277524708294, 0.21704549193909428, 0.0180066817501595, 0.01651769210057298, 0.04506185676964035, -0.01750090880784039, -0.06679989840453139, -0.25112907576401067, 0.3046316741526408, 0.084667641414716, 0.20671458806807422, -0.026806095263586856, 0.11030254530817059, 0.0106749034767865, -0.14169620821595122, 0.03949457463228478, -0.18001941795337875, 0.06806554963355357, 0.21581305012783422, 0.15715487711219434, 0.22914328478839038, -0.30062908437595875, -0.15517953384825783, 0.08551356099756821, 0.15361593036806948, 0.06164114613894303, -0.0365382949118766, -0.28878654170131207, 0.11088534362640513, -0.1799711504391557, -0.14676638958395793, 0.013577718226203942, 0.010772519951405109, 0.07316317049927025, -0.25290225340901296, 0.12955084880638235, 0.008715955010903033, 0.07802229705003072, -0.11461976363174266, -0.12733778104686863, -0.017723869754194793, 0.14761430438402556, -0.027485372153778543, 0.08277330794789002, 0.12243172797629223, -0.1412236282935823, -0.06625157113204587, 0.38468883416773575, -0.05768312997500992, -0.068398642705156, 0.18939618152162097, -0.18020477888332503, -0.16430566842966485, 0.09942316392410265, 0.13687779117410756, 0.06272007608874086, -0.1556687938376991, 0.036267646515350964, 0.014109075464800282, 0.23210512669669148, 0.04056940434658724, 0.03446051978312854, 0.2676048776011844, 0.15585931779526807, 0.07041403306823857, 0.11658194502277458, -0.22414926684654826, -0.04274769944692347, -0.31044107149377076, -0.08921550746286674, -0.0938565333567138, 0.0866202895643787, -0.15850292855172465, -0.12544393147570346, 0.3668747357409096, 0.11816464852155098, 0.2488575834728215, 0.10692547837860952, 0.23473942872874862, 0.058978440366462444, 0.07298262325062785, 0.06302142224959889, 0.23809129551474778, 0.17091548292379263, 0.05856455554241174, -0.16869133777195974, -0.008012857450664325, -0.06143893290724043] |
712.0263 | Exact bulk correlation functions in one-dimensional nonadditive
hard-core mixtures | In a recent paper [Phys. Rev. E \textbf{76}, 031202 (2007)], Schmidt has
proposed a Fundamental Measure Density Functional Theory for one-dimensional
nonadditive hard-rod fluid mixtures and has compared its predictions for the
bulk structural properties with Monte Carlo simulations. The aim of this Brief
Report is to recall that the problem admits an exact solution in the bulk,
which is briefly summarized in a self-contained way.
| cond-mat.soft cond-mat.stat-mech physics.chem-ph | in a recent paper phys rev e textbf76 031202 2007 schmidt has proposed a fundamental measure density functional theory for onedimensional nonadditive hardrod fluid mixtures and has compared its predictions for the bulk structural properties with monte carlo simulations the aim of this brief report is to recall that the problem admits an exact solution in the bulk which is briefly summarized in a selfcontained way | [['in', 'a', 'recent', 'paper', 'phys', 'rev', 'e', 'textbf76', '031202', '2007', 'schmidt', 'has', 'proposed', 'a', 'fundamental', 'measure', 'density', 'functional', 'theory', 'for', 'onedimensional', 'nonadditive', 'hardrod', 'fluid', 'mixtures', 'and', 'has', 'compared', 'its', 'predictions', 'for', 'the', 'bulk', 'structural', 'properties', 'with', 'monte', 'carlo', 'simulations', 'the', 'aim', 'of', 'this', 'brief', 'report', 'is', 'to', 'recall', 'that', 'the', 'problem', 'admits', 'an', 'exact', 'solution', 'in', 'the', 'bulk', 'which', 'is', 'briefly', 'summarized', 'in', 'a', 'selfcontained', 'way']] | [-0.07161524793706261, 0.08294655152869662, -0.13062281125726607, -0.031207450441657923, -0.04179624135677631, -0.09781445184579263, 0.026610164451771057, 0.33316123075783255, -0.20232755715170733, -0.28164340128692295, 0.025179137979060986, -0.2922311545564578, -0.18949887574865268, 0.15486426658641833, -0.11303602154724873, 0.06826386991798734, 0.07568650052237968, -0.003813659750784819, -0.10900429806385475, -0.23578046230742564, 0.19326744263705153, 0.13567197630898312, 0.289319519401313, 0.06121158953039692, 0.09755410057707475, 0.030982745238221608, -0.04753474943483105, 0.029645022406027868, -0.2805843272896779, 0.08366385092063305, 0.24643404505287225, 0.060566035371560314, 0.26250432026214326, -0.4151980878641972, -0.24739175198169855, 0.06448603286766089, 0.04958724107306737, 0.11740587938827678, -0.07009007638463607, -0.2676149913038199, 0.058524524853923, -0.23658583708680592, -0.14577301538621004, -0.12822174345324477, 0.10585289555959977, -0.014140170941559168, -0.2221786434403979, 0.1396948278380128, 0.01821315183949012, 0.04135837941072308, -0.025897398626861665, -0.12835490719343606, 0.02674565233576756, 0.0026150860214749208, 0.00830661091917696, 0.0879380685922045, 0.06510785317334991, -0.09283374979232366, -0.14516310615178485, 0.3732108604306212, -0.06893751433190819, -0.18678312462826188, 0.2440338725456968, -0.0792858303237993, -0.16167241099935312, 0.11298830984876707, 0.11647834461898758, 0.14037411614106252, -0.19667735760315105, 0.18476252858079253, -0.11611592471375703, 0.1387648254879213, 0.0031515773099202375, -0.005387551760157714, 0.18879054773312348, 0.20526679067944104, -0.023833375753691564, 0.14003620729423485, -0.05312825672221012, -0.11943363445596053, -0.30012102668675095, -0.21237610653580094, -0.21232148353010416, 0.06764433873960606, -0.001820678915604591, -0.16600745902038538, 0.36756352194799824, 0.15014689024537803, 0.1529530732247692, 0.04448573834513529, 0.254575894610025, 0.10325954606613287, -0.08826075146655338, 0.0990509437970244, 0.2466047258904347, 0.22268042446543965, 0.09315460046681646, -0.2095357901058518, 0.03647108827583277, 0.09784705667899778] |
712.0264 | Nanoelectromechanical systems based on multi-walled nanotubes:
nanothermometer, nanorelay and nanoactuator | We report on three new types of nanoelectromechanical systems based on carbon
nanotubes: an electromechanical nanothermometer, a nanorelay and a nanomotor.
The nanothermometer can be used for accurate temperature measurements in
spatially localized regions with dimensions of several hundred nanometers. The
nanorelay is a prototype of a memory cell, and the nanoactuator can be used for
transformation of the forward force into the relative rotation of the walls.
Relative motion of the walls in these nanosystems is defined by the shape of
the interwall interaction energy surface. Ab initio and semi-empirical
calculations have been used to estimate the operational characteristics and
dimensions of these nanosystems.
| cond-mat.other cond-mat.mes-hall | we report on three new types of nanoelectromechanical systems based on carbon nanotubes an electromechanical nanothermometer a nanorelay and a nanomotor the nanothermometer can be used for accurate temperature measurements in spatially localized regions with dimensions of several hundred nanometers the nanorelay is a prototype of a memory cell and the nanoactuator can be used for transformation of the forward force into the relative rotation of the walls relative motion of the walls in these nanosystems is defined by the shape of the interwall interaction energy surface ab initio and semiempirical calculations have been used to estimate the operational characteristics and dimensions of these nanosystems | [['we', 'report', 'on', 'three', 'new', 'types', 'of', 'nanoelectromechanical', 'systems', 'based', 'on', 'carbon', 'nanotubes', 'an', 'electromechanical', 'nanothermometer', 'a', 'nanorelay', 'and', 'a', 'nanomotor', 'the', 'nanothermometer', 'can', 'be', 'used', 'for', 'accurate', 'temperature', 'measurements', 'in', 'spatially', 'localized', 'regions', 'with', 'dimensions', 'of', 'several', 'hundred', 'nanometers', 'the', 'nanorelay', 'is', 'a', 'prototype', 'of', 'a', 'memory', 'cell', 'and', 'the', 'nanoactuator', 'can', 'be', 'used', 'for', 'transformation', 'of', 'the', 'forward', 'force', 'into', 'the', 'relative', 'rotation', 'of', 'the', 'walls', 'relative', 'motion', 'of', 'the', 'walls', 'in', 'these', 'nanosystems', 'is', 'defined', 'by', 'the', 'shape', 'of', 'the', 'interwall', 'interaction', 'energy', 'surface', 'ab', 'initio', 'and', 'semiempirical', 'calculations', 'have', 'been', 'used', 'to', 'estimate', 'the', 'operational', 'characteristics', 'and', 'dimensions', 'of', 'these', 'nanosystems']] | [-0.12402089676331907, 0.13197085958409366, -0.059343526636560756, -0.015144798911309668, -0.01573364904948643, -0.11303576270029658, 0.031079317185850372, 0.42037737447591056, -0.23797002145577045, -0.31524873940008025, 0.06953741034625896, -0.2566685856985194, -0.10309745476725289, 0.23622118013112672, -0.016071778890632448, 0.06500939062486093, 0.015409364522479119, -0.009625515088971172, -0.04215714864078022, -0.16537956073880195, 0.25421804660665137, 0.012930193534564404, 0.27271953938262805, 0.08656816088505799, 0.09578526586826358, -0.056136044931952796, 0.04371544411849408, 0.06642620104941584, -0.1579494823391239, 0.1651033842226579, 0.2016012327396311, -0.01574134951058243, 0.22614087575736144, -0.5059095427748703, -0.2204535801407127, 0.0015210269285099848, 0.12934409638290248, 0.1270464820876008, -0.02828714622938562, -0.2868920965918473, 0.03776453254478318, -0.1538930389143172, -0.10992609917496642, -0.08607741866615556, 0.0355049083630244, 0.08516288314103371, -0.21571964172513358, 0.0627948303419717, 0.004809667787187556, 0.07567857558599263, -0.10645018157693335, -0.11833303354104005, -0.019363337693115077, 0.1295821560502407, -0.015570167385573899, -0.005981843750036898, 0.2223323769734374, -0.07812538578485449, -0.11799702092650391, 0.3918887405966719, -0.05375969613059645, -0.18312094809398766, 0.2185500514050502, -0.09016564951522187, -0.06992564943752118, 0.11857521353023392, 0.17271609005651303, 0.13152946450171016, -0.19001523391731703, 0.031592282854641475, 0.026950692110473202, 0.1841716714735542, 0.06258499295938583, 0.04685729175273861, 0.23247001413699417, 0.22843717143294356, 0.006374376154105578, 0.12680646412828495, -0.17009114890492388, -0.03781184674284997, -0.2518255399983554, -0.1845219203990252, -0.17927544697054795, 0.0406032013263376, -0.0886333720509096, -0.16918971307043518, 0.4165265852851527, 0.12134143185047876, 0.14429140069876753, -0.03901247514766597, 0.26689607002550647, 0.08069441568971213, 0.12483549346437767, -0.013006084940085809, 0.27454059369684686, 0.15996762221634742, 0.07984790949239617, -0.24503764255593222, 0.04002902608010031, 0.0214377095878479] |
712.0265 | An Extension of the Classical Gauss Series-product Identity by Fermionic
Construction of \hat{sl}_n | The main result of this paper is two infinity classes of series-product
identities which is based on classical Gauss identity and two different
interpretations of character formula for irreducible highest weight modules of
affine Lie algebras.
| math.RT math.NT | the main result of this paper is two infinity classes of seriesproduct identities which is based on classical gauss identity and two different interpretations of character formula for irreducible highest weight modules of affine lie algebras | [['the', 'main', 'result', 'of', 'this', 'paper', 'is', 'two', 'infinity', 'classes', 'of', 'seriesproduct', 'identities', 'which', 'is', 'based', 'on', 'classical', 'gauss', 'identity', 'and', 'two', 'different', 'interpretations', 'of', 'character', 'formula', 'for', 'irreducible', 'highest', 'weight', 'modules', 'of', 'affine', 'lie', 'algebras']] | [-0.18438085498554366, 0.06241700904709952, -0.10335104194070611, 0.03554444161709398, -0.16017935435686792, -0.1794858471623489, -0.04101056876658861, 0.3106316300641213, -0.3305788593632834, -0.21890860689537867, 0.11302875462985996, -0.21621024113680634, -0.1926291699920382, 0.2319019691752536, -0.10425792347107615, -0.05435132501380784, 0.05750321292850588, 0.12114277085555451, -0.1325854778156749, -0.29971983821264336, 0.49270615055824496, -0.026637360167556575, 0.2841769652707236, 0.05333958601113409, 0.17440142297086172, -0.0002780153416097164, -0.04765863211027214, -0.08920904703970467, -0.08812263953898634, 0.20235749471134373, 0.3035605457212244, 0.08362395683569568, 0.20889448222837279, -0.32344156237585203, -0.06012634259781667, 0.1756573117471167, 0.15331369079316834, 0.007235553019147898, 0.03438534088366266, -0.2047056888363191, 0.08057140425911971, -0.203578854684851, -0.1318500267341733, 0.018691293150186538, 0.04932642938303096, 0.05038687427129064, -0.189469333418778, 0.07057824024398412, 0.15944852408553872, 0.13483247751636165, -0.14251698356653963, -0.20015071889917765, 0.01019061521760055, 0.12689900708251767, 0.012113235185721091, -0.010044226968394859, 0.07479147716824497, -0.11319527934039278, -0.18951629287164126, 0.3152243989918913, 0.02863604961229222, -0.2184901804796287, 0.1866181632304298, -0.1578768588602543, -0.20835861193814448, 0.10792013920311416, 0.05346785404586366, 0.12781879369701657, -0.12989080511033535, 0.11645043718329232, -0.10043102449604444, -0.013792170956730843, 0.1386629902358566, 0.022285176121762822, 0.14918475119130953, 0.02517458475860102, -0.002754818807755198, 0.16508575180279358, 0.033787225699052216, -0.035234648534762006, -0.39564596031393323, -0.25812785670693433, -0.1524405998843057, 0.10376900620758533, -0.14305347629914258, -0.16507414680506502, 0.4537741138466767, 0.1194839847457063, 0.18311017262084142, 0.15569568854157945, 0.243568308491792, 0.11839050807590995, 0.10474907846323081, -0.02281716287668262, 0.08775955623547946, 0.25747230611741545, -0.06496925059972065, -0.08621107019217951, -0.013957069311124672, 0.25667582909975734] |
712.0266 | Deformation of Brody curves and mean dimension | The main purpose of this paper is to show that ideas of deformation theory
can be applied to "infinite dimensional geometry". We develop the deformation
theory of Brody curves. Brody curve is a kind of holomorphic map from the
complex plane to the projective space. Since the complex plane is not compact,
the parameter space of the deformation can be infinite dimensional. As an
application we prove a lower bound on the mean dimension of the space of Brody
curves.
| math.DG math.CV | the main purpose of this paper is to show that ideas of deformation theory can be applied to infinite dimensional geometry we develop the deformation theory of brody curves brody curve is a kind of holomorphic map from the complex plane to the projective space since the complex plane is not compact the parameter space of the deformation can be infinite dimensional as an application we prove a lower bound on the mean dimension of the space of brody curves | [['the', 'main', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'show', 'that', 'ideas', 'of', 'deformation', 'theory', 'can', 'be', 'applied', 'to', 'infinite', 'dimensional', 'geometry', 'we', 'develop', 'the', 'deformation', 'theory', 'of', 'brody', 'curves', 'brody', 'curve', 'is', 'a', 'kind', 'of', 'holomorphic', 'map', 'from', 'the', 'complex', 'plane', 'to', 'the', 'projective', 'space', 'since', 'the', 'complex', 'plane', 'is', 'not', 'compact', 'the', 'parameter', 'space', 'of', 'the', 'deformation', 'can', 'be', 'infinite', 'dimensional', 'as', 'an', 'application', 'we', 'prove', 'a', 'lower', 'bound', 'on', 'the', 'mean', 'dimension', 'of', 'the', 'space', 'of', 'brody', 'curves']] | [-0.13291189471492543, 0.10917453353340534, -0.1588463734369725, 0.08163790836988483, -0.11171228612074628, -0.05311071907635778, -0.011595195102563594, 0.3257843059953302, -0.29786336090182886, -0.22137417597696185, 0.10907258354127407, -0.19820545888505875, -0.22783337337896228, 0.2627099841833115, -0.16048847459023818, 0.014266621577553451, 0.0040856874809833245, 0.06578461929457262, -0.10009748757292983, -0.29564346962142735, 0.4054386458243243, -0.0045693045482039455, 0.24108315005432815, 0.02628178836166626, 0.10639671753160655, 0.0410402309789788, 0.038193109689746055, 0.0498375996528921, -0.18172655855642006, 0.18769956323085352, 0.2631744846701622, 0.09456165376468562, 0.1744287794455886, -0.34331590856891125, -0.2739099653437734, 0.1764764355670195, 0.14687051688088104, 0.08657069209730253, 0.04556404204486171, -0.23088131041731685, 0.06205586583091645, -0.1168568037217483, -0.23261700571747496, -0.08657046374864877, 0.02843430293723941, 0.008500187587924302, -0.19828678968478924, 0.006994187395321205, 0.09326119566103444, 0.09231876353733241, -0.07117331337649375, -0.03586309043457732, -0.059638447978068145, 0.0736570876542828, 0.0013860996841685846, 0.08937940019823146, 0.08757332022069023, -0.05607075623647688, -0.08590248949476517, 0.36177250372129494, -0.06459969017887487, -0.24063848247751593, 0.13648545693140476, -0.17690174677118192, -0.1118368466210086, 0.14174227706389503, 0.21272471812553703, 0.1474280874012038, -0.050234434590674934, 0.19269861482316628, -0.07576090959482826, 0.1555676834890619, 0.05509502877248451, -0.06301356180920266, 0.14076872087607625, 0.13469071600120514, 0.10890782477799803, 0.1649746050417889, -0.09459332517290023, -0.09459108117735013, -0.35677045499905946, -0.23319631777485483, -0.18778628761938307, 0.11503926661407604, -0.11054455433040858, -0.18444413105025886, 0.3747605292883236, 0.04063880476605845, 0.23987475328613073, 0.04127079377649352, 0.2700678960303776, 0.13675675008707913, 0.019761272857431324, 0.030520300619537012, 0.20046172279689928, 0.17423764222767205, 0.0023182829434517773, -0.12830091720970813, -0.010539203434018419, 0.1628550071036443] |
712.0267 | The uniformly frustrated two-dimensional XY model in the limit of weak
frustration | We consider the two-dimensional uniformly frustrated XY model in the limit of
small frustration, which is equivalent to an XY system, for instance a
Josephson junction array, in a weak uniform magnetic field applied along a
direction orthogonal to the lattice. We show that the uniform frustration
(equivalently, the magnetic field) destabilizes the line of fixed points which
characterize the critical behaviour of the XY model for T <= T_{KT}, where
T_{KT} is the Kosterlitz-Thouless transition temperature: the system is
paramagnetic at any temperature for sufficiently small frustration. We predict
the critical behaviour of the correlation length and of gauge-invariant
magnetic susceptibilities as the frustration goes to zero. These predictions
are fully confirmed by the numerical simulations.
| cond-mat.stat-mech | we consider the twodimensional uniformly frustrated xy model in the limit of small frustration which is equivalent to an xy system for instance a josephson junction array in a weak uniform magnetic field applied along a direction orthogonal to the lattice we show that the uniform frustration equivalently the magnetic field destabilizes the line of fixed points which characterize the critical behaviour of the xy model for t t_kt where t_kt is the kosterlitzthouless transition temperature the system is paramagnetic at any temperature for sufficiently small frustration we predict the critical behaviour of the correlation length and of gaugeinvariant magnetic susceptibilities as the frustration goes to zero these predictions are fully confirmed by the numerical simulations | [['we', 'consider', 'the', 'twodimensional', 'uniformly', 'frustrated', 'xy', 'model', 'in', 'the', 'limit', 'of', 'small', 'frustration', 'which', 'is', 'equivalent', 'to', 'an', 'xy', 'system', 'for', 'instance', 'a', 'josephson', 'junction', 'array', 'in', 'a', 'weak', 'uniform', 'magnetic', 'field', 'applied', 'along', 'a', 'direction', 'orthogonal', 'to', 'the', 'lattice', 'we', 'show', 'that', 'the', 'uniform', 'frustration', 'equivalently', 'the', 'magnetic', 'field', 'destabilizes', 'the', 'line', 'of', 'fixed', 'points', 'which', 'characterize', 'the', 'critical', 'behaviour', 'of', 'the', 'xy', 'model', 'for', 't', 't_kt', 'where', 't_kt', 'is', 'the', 'kosterlitzthouless', 'transition', 'temperature', 'the', 'system', 'is', 'paramagnetic', 'at', 'any', 'temperature', 'for', 'sufficiently', 'small', 'frustration', 'we', 'predict', 'the', 'critical', 'behaviour', 'of', 'the', 'correlation', 'length', 'and', 'of', 'gaugeinvariant', 'magnetic', 'susceptibilities', 'as', 'the', 'frustration', 'goes', 'to', 'zero', 'these', 'predictions', 'are', 'fully', 'confirmed', 'by', 'the', 'numerical', 'simulations']] | [-0.2367792246514, 0.22762060270291967, -0.00951049246841335, 0.0535082371317348, -0.03252550082658578, -0.17564105292669788, 0.05052624911005641, 0.3521502822123725, -0.2721885195451564, -0.21401599174815006, 0.05430335737363403, -0.3104593238255394, -0.08358165005559166, 0.13256033186816835, 0.0659732724507821, 0.017223543178386473, -0.0372619901679392, 0.05425618802486309, -0.1004851749949639, -0.19821922258867336, 0.2841518275471854, -0.007025988615952946, 0.29335215335294346, 0.04455043478961231, 0.06873082708776125, 0.0018666383111849427, 0.16612391234857254, 0.12446754847267835, -0.19255489620194693, -0.013384393705376264, 0.1925722592799314, -0.07025809187827439, 0.1838094158065987, -0.3772685367790661, -0.2044419350568205, 0.10104716851592771, 0.15211763436873926, 0.1350602071937013, 0.025467695411423158, -0.2572985548317304, 0.07431242395683386, -0.12566155432884035, -0.16535661132315752, -0.08203312686387577, 0.0019076908547190372, 0.049849735267845724, -0.32093191378075503, 0.07427581903476525, 0.11913325812603379, 0.1482927086602511, -0.048011554971112515, -0.07581892142981564, -0.050548321936793365, 0.1070717178849134, 0.05644120878423564, 0.1200676161538938, 0.1136367200785477, -0.13696403884738362, -0.07902063991711876, 0.36584452980454885, -0.06878800352067879, -0.13303261398385954, 0.14642413299338058, -0.2046067605240688, -0.1032338445958007, 0.17346471145042572, 0.11249457622460764, 0.08171419070327077, -0.10314653738771148, 0.12179097846895055, -0.03375746850887763, 0.18246135312325223, -0.030349042182306534, -0.012081915978342295, 0.27712915796015797, 0.14767233675731153, 0.09747014605392028, 0.21225203069504991, -0.1106547838887842, -0.11619163164868951, -0.29295308689651045, -0.13566374090692862, -0.24119022144968139, 0.08036608222855962, -0.14025642498030533, -0.25079419358296257, 0.3585405997482353, 0.22150770185418941, 0.2118803213816136, 0.003212824489937389, 0.23954987092794658, 0.1367209999860216, 0.01759614219792701, 0.06331031812166249, 0.22768782378888913, 0.1812729967491107, 0.1107398452044561, -0.2735798904985382, 0.023345352001969927, 0.082478181450981] |
712.0268 | Exact solution of Schrodinger equation for modified Kratzer's molecular
potential with the position-dependent mass | Exact solutions of Schrodinger equation are obtained for the modified Kratzer
and the corrected Morse potentials with the position-dependent effective mass.
The bound state energy eigenvalues and the corresponding eigenfunctions are
calculated for any angular momentum for target potentials. Various forms of
point canonical transformations are applied. PACS numbers: 03.65.-w; 03.65.Ge;
12.39.Fd Keywords: Morse potential, Kratzer potential, Position-dependent mass,
Point canonical transformation, Effective mass Schr\"{o}dinger equation.
| quant-ph | exact solutions of schrodinger equation are obtained for the modified kratzer and the corrected morse potentials with the positiondependent effective mass the bound state energy eigenvalues and the corresponding eigenfunctions are calculated for any angular momentum for target potentials various forms of point canonical transformations are applied pacs numbers 0365w 0365ge 1239fd keywords morse potential kratzer potential positiondependent mass point canonical transformation effective mass schrodinger equation | [['exact', 'solutions', 'of', 'schrodinger', 'equation', 'are', 'obtained', 'for', 'the', 'modified', 'kratzer', 'and', 'the', 'corrected', 'morse', 'potentials', 'with', 'the', 'positiondependent', 'effective', 'mass', 'the', 'bound', 'state', 'energy', 'eigenvalues', 'and', 'the', 'corresponding', 'eigenfunctions', 'are', 'calculated', 'for', 'any', 'angular', 'momentum', 'for', 'target', 'potentials', 'various', 'forms', 'of', 'point', 'canonical', 'transformations', 'are', 'applied', 'pacs', 'numbers', '0365w', '0365ge', '1239fd', 'keywords', 'morse', 'potential', 'kratzer', 'potential', 'positiondependent', 'mass', 'point', 'canonical', 'transformation', 'effective', 'mass', 'schrodinger', 'equation']] | [-0.11501277607793992, 0.12546022845826182, -0.08106683524898611, 0.19144813011472042, -0.04873895438101429, -0.20683588217943907, -0.03529004137425755, 0.3276199067154756, -0.19466724298321283, -0.2900131278886245, -0.024541767514668977, -0.32387198771421727, -0.10791500792838633, 0.1686569759908777, 0.03133159599338586, 0.15455477813330407, 0.06182421438682538, 0.057772731179228196, -0.13916144924811447, -0.13989541358672655, 0.3702057943607752, 0.024752527102828027, 0.1952527042155942, 0.05468569631473376, 0.09835697934031487, 0.012373096750189478, 0.03756113917781757, -0.0633155233799838, -0.16985541605032406, 0.07517764295737904, 0.1786015938107784, -0.003413092402311472, 0.18957270379536428, -0.3709542151827079, -0.20510877810705166, 0.14735433337493584, 0.12786317399631325, 0.12583543579452314, -0.11635074907770523, -0.33591000987933234, -0.05286895060025227, -0.12079294395561402, -0.2893692626689489, -0.1362328779955323, 0.0880064488746799, 0.14094213856240878, -0.2744708520861772, 0.15099020093033547, -0.058764157082455665, 0.002579544670879841, -0.2215418837319773, -0.21073457226157188, -0.14832190956669644, 0.03645732726615209, -0.04583610703165714, 0.017619954572560697, 0.15613213021021624, -0.08962383885652973, -0.024388755299150945, 0.38310702281216014, -0.07087071194098546, -0.31311316887060037, 0.058699498210962, -0.05159817845202409, -0.08127693377363567, 0.12444496670594582, 0.08344976912037684, 0.09859151527142296, -0.2067655398295476, 0.20808649206211646, 0.06197526580295884, 0.11050427392340051, 0.1709410664625466, 0.013378968849205053, 0.16754196648700878, -0.016676941227454407, 0.03792850869492843, 0.056945045149097075, -0.03521957603784708, -0.20857702598262293, -0.28199400678277015, -0.1239804800769959, -0.22603324529929802, 0.11068957531108306, -0.15446387789382313, -0.15799394387465257, 0.36751997595509656, 0.05048778385926898, 0.15084355406534786, 0.08713215346663045, 0.22280955660658386, 0.28020492683236414, 0.041951898406617914, 0.030858339469593304, 0.19895761369485765, 0.20907367539520447, 0.10060075684987868, -0.24691408501508144, -0.1915725633645287, 0.18978036326857714] |
712.0269 | Magnetic field near the central region of the Galaxy: Rotation measure
of extragalactic sources | To determine the properties of the Faraday screen and the magnetic field near
the central region of the Galaxy, we measured the Faraday rotation measure (RM)
towards 60 background extragalactic source components through the -6 deg < l <6
deg, -2 deg < b < 2 deg region of the Galaxy using the 4.8 and 8.5 GHz bands of
the ATCA and VLA. Here we use the measured RMs to estimate the systematic and
the random components of the magnetic fields. The measured RMs are found to be
mostly positive for the sample sources in the region. This is consistent with
either a large scale bisymmetric spiral magnetic fields in the Galaxy or with
fields oriented along the central bar of the Galaxy. The outer scale of the RM
fluctuation is found to be about 40 pc, which is much larger than the observed
RM size scales towards the non-thermal filaments (NTFs). The RM structure
function is well-fitted with a power law index of 0.7 +/- 0.1 at length scales
of 0.3 to 100 pc. If Gaussian random processes in the ISM are valid, the power
law index is consistent with a two dimensional Kolmogorov turbulence. If there
is indeed a strong magnetic field within 1 degree (radius 150 pc) from the GC,
the strength of the random field in the region is estimated to be 20
microGauss. Given the highly turbulent magnetoionic ISM in this region, the
strength of the systematic component of the magnetic fields would most likely
be close to that of the random component. This suggests that the earlier
estimated milliGauss magnetic field near the NTFs is localised and does not
pervade the central 300 pc of the Galaxy.
| astro-ph | to determine the properties of the faraday screen and the magnetic field near the central region of the galaxy we measured the faraday rotation measure rm towards 60 background extragalactic source components through the 6 deg l 6 deg 2 deg b 2 deg region of the galaxy using the 48 and 85 ghz bands of the atca and vla here we use the measured rms to estimate the systematic and the random components of the magnetic fields the measured rms are found to be mostly positive for the sample sources in the region this is consistent with either a large scale bisymmetric spiral magnetic fields in the galaxy or with fields oriented along the central bar of the galaxy the outer scale of the rm fluctuation is found to be about 40 pc which is much larger than the observed rm size scales towards the nonthermal filaments ntfs the rm structure function is wellfitted with a power law index of 07 01 at length scales of 03 to 100 pc if gaussian random processes in the ism are valid the power law index is consistent with a two dimensional kolmogorov turbulence if there is indeed a strong magnetic field within 1 degree radius 150 pc from the gc the strength of the random field in the region is estimated to be 20 microgauss given the highly turbulent magnetoionic ism in this region the strength of the systematic component of the magnetic fields would most likely be close to that of the random component this suggests that the earlier estimated milligauss magnetic field near the ntfs is localised and does not pervade the central 300 pc of the galaxy | [['to', 'determine', 'the', 'properties', 'of', 'the', 'faraday', 'screen', 'and', 'the', 'magnetic', 'field', 'near', 'the', 'central', 'region', 'of', 'the', 'galaxy', 'we', 'measured', 'the', 'faraday', 'rotation', 'measure', 'rm', 'towards', '60', 'background', 'extragalactic', 'source', 'components', 'through', 'the', '6', 'deg', 'l', '6', 'deg', '2', 'deg', 'b', '2', 'deg', 'region', 'of', 'the', 'galaxy', 'using', 'the', 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712.027 | Random graphs with forbidden vertex degrees | We study the random graph G_{n,\lambda/n} conditioned on the event that all
vertex degrees lie in some given subset S of the non-negative integers. Subject
to a certain hypothesis on S, the empirical distribution of the vertex degrees
is asymptotically Poisson with some parameter \mux given as the root of a
certain `characteristic equation' of S that maximises a certain function
\psis(\mu). Subject to a hypothesis on S, we obtain a partial description of
the structure of such a random graph, including a condition for the existence
(or not) of a giant component. The requisite hypothesis is in many cases
benign, and applications are presented to a number of choices for the set S
including the sets of (respectively) even and odd numbers. The random
\emph{even} graph is related to the random-cluster model on the complete graph
K_n.
| math.PR math.CO | we study the random graph g_nlambdan conditioned on the event that all vertex degrees lie in some given subset s of the nonnegative integers subject to a certain hypothesis on s the empirical distribution of the vertex degrees is asymptotically poisson with some parameter mux given as the root of a certain characteristic equation of s that maximises a certain function psismu subject to a hypothesis on s we obtain a partial description of the structure of such a random graph including a condition for the existence or not of a giant component the requisite hypothesis is in many cases benign and applications are presented to a number of choices for the set s including the sets of respectively even and odd numbers the random empheven graph is related to the randomcluster model on the complete graph k_n | [['we', 'study', 'the', 'random', 'graph', 'g_nlambdan', 'conditioned', 'on', 'the', 'event', 'that', 'all', 'vertex', 'degrees', 'lie', 'in', 'some', 'given', 'subset', 's', 'of', 'the', 'nonnegative', 'integers', 'subject', 'to', 'a', 'certain', 'hypothesis', 'on', 's', 'the', 'empirical', 'distribution', 'of', 'the', 'vertex', 'degrees', 'is', 'asymptotically', 'poisson', 'with', 'some', 'parameter', 'mux', 'given', 'as', 'the', 'root', 'of', 'a', 'certain', 'characteristic', 'equation', 'of', 's', 'that', 'maximises', 'a', 'certain', 'function', 'psismu', 'subject', 'to', 'a', 'hypothesis', 'on', 's', 'we', 'obtain', 'a', 'partial', 'description', 'of', 'the', 'structure', 'of', 'such', 'a', 'random', 'graph', 'including', 'a', 'condition', 'for', 'the', 'existence', 'or', 'not', 'of', 'a', 'giant', 'component', 'the', 'requisite', 'hypothesis', 'is', 'in', 'many', 'cases', 'benign', 'and', 'applications', 'are', 'presented', 'to', 'a', 'number', 'of', 'choices', 'for', 'the', 'set', 's', 'including', 'the', 'sets', 'of', 'respectively', 'even', 'and', 'odd', 'numbers', 'the', 'random', 'empheven', 'graph', 'is', 'related', 'to', 'the', 'randomcluster', 'model', 'on', 'the', 'complete', 'graph', 'k_n']] | [-0.19020442140069516, 0.10307376459412113, -0.05786451665164136, 0.042801585287259726, -0.0825534763828139, -0.11312229084604256, 0.06521486845004427, 0.3152859322795206, -0.24983942196430528, -0.2678603995557162, 0.10786193519358195, -0.2947709025020766, -0.13902475498787895, 0.16572436621508507, -0.045864652609452605, 0.0511517024201834, 0.07130610421026017, 0.15388916766695568, -0.015044015720965998, -0.2704243579757852, 0.32903562931973923, -0.033643805914941954, 0.2079832457101849, 0.038913906428634244, 0.12000857014893829, 0.04034991984885624, -0.004745093064711374, 0.045583495047715, -0.1455490997799215, 0.0773867570079507, 0.1897052293369437, 0.16106836794300333, 0.28144377855043035, -0.36894122900112586, -0.18842309810604682, 0.19145097675979794, 0.06643414373085012, 0.046101480598094095, 0.011079786002964657, -0.2306017763878438, 0.16291243239881142, -0.12934434686458723, -0.14062382745118263, -0.010005474200143534, 0.06876122098936535, 0.04703206764636835, -0.33277215742076377, 0.0073869742713320785, 0.10628669585703927, 0.05360507824191112, -0.006479722269646385, -0.16082985825521653, -0.033256671088405285, 0.07941874264061506, 0.008263610276866102, 0.05059040155474042, 0.06972416277344831, -0.13801703501410564, -0.10562071070307866, 0.3669690580744132, -0.016592813224312577, -0.24005881757201517, 0.16229928847101024, -0.1542414272656007, -0.15969247083686403, 0.10135270259343088, 0.1336045567466713, 0.12770394100987367, -0.10333810900791672, 0.1195186358758399, -0.10313145525972633, 0.10747011493453208, 0.06620863604578464, 0.023599007468232337, 0.16454971706330337, 0.11659285591518068, 0.10412433445119806, 0.13820678948917808, -0.046601465417017394, -0.054982609348371625, -0.3859498512123109, -0.1150475113912869, -0.22318338265947257, 0.11325352973322236, -0.15457005514198338, -0.23661962319987223, 0.43456763622131855, 0.10424116008011076, 0.24622293329979156, 0.07647167673498831, 0.200942896950223, 0.0998031159175726, 0.022407297661308858, 0.07371743499713963, 0.07458109205104205, 0.17224965640514925, -0.013734325629604213, -0.16762229474603801, 0.08400316827464849, 0.09323999502778273] |
712.0271 | Distributed Arithmetic Coding for the Asymmetric Slepian-Wolf problem | Distributed source coding schemes are typically based on the use of channels
codes as source codes. In this paper we propose a new paradigm, termed
"distributed arithmetic coding", which exploits the fact that arithmetic codes
are good source as well as channel codes. In particular, we propose a
distributed binary arithmetic coder for Slepian-Wolf coding with decoder side
information, along with a soft joint decoder. The proposed scheme provides
several advantages over existing Slepian-Wolf coders, especially its good
performance at small block lengths, and the ability to incorporate arbitrary
source models in the encoding process, e.g. context-based statistical models.
We have compared the performance of distributed arithmetic coding with turbo
codes and low-density parity-check codes, and found that the proposed approach
has very competitive performance.
| cs.IT math.IT | distributed source coding schemes are typically based on the use of channels codes as source codes in this paper we propose a new paradigm termed distributed arithmetic coding which exploits the fact that arithmetic codes are good source as well as channel codes in particular we propose a distributed binary arithmetic coder for slepianwolf coding with decoder side information along with a soft joint decoder the proposed scheme provides several advantages over existing slepianwolf coders especially its good performance at small block lengths and the ability to incorporate arbitrary source models in the encoding process eg contextbased statistical models we have compared the performance of distributed arithmetic coding with turbo codes and lowdensity paritycheck codes and found that the proposed approach has very competitive performance | [['distributed', 'source', 'coding', 'schemes', 'are', 'typically', 'based', 'on', 'the', 'use', 'of', 'channels', 'codes', 'as', 'source', 'codes', 'in', 'this', 'paper', 'we', 'propose', 'a', 'new', 'paradigm', 'termed', 'distributed', 'arithmetic', 'coding', 'which', 'exploits', 'the', 'fact', 'that', 'arithmetic', 'codes', 'are', 'good', 'source', 'as', 'well', 'as', 'channel', 'codes', 'in', 'particular', 'we', 'propose', 'a', 'distributed', 'binary', 'arithmetic', 'coder', 'for', 'slepianwolf', 'coding', 'with', 'decoder', 'side', 'information', 'along', 'with', 'a', 'soft', 'joint', 'decoder', 'the', 'proposed', 'scheme', 'provides', 'several', 'advantages', 'over', 'existing', 'slepianwolf', 'coders', 'especially', 'its', 'good', 'performance', 'at', 'small', 'block', 'lengths', 'and', 'the', 'ability', 'to', 'incorporate', 'arbitrary', 'source', 'models', 'in', 'the', 'encoding', 'process', 'eg', 'contextbased', 'statistical', 'models', 'we', 'have', 'compared', 'the', 'performance', 'of', 'distributed', 'arithmetic', 'coding', 'with', 'turbo', 'codes', 'and', 'lowdensity', 'paritycheck', 'codes', 'and', 'found', 'that', 'the', 'proposed', 'approach', 'has', 'very', 'competitive', 'performance']] | [-0.1740915750786662, -0.017190532300621272, -0.10257320312038064, 0.0777719968646561, -0.005781236737966537, -0.30843498356640336, 0.06044708364177495, 0.45290691138803957, -0.32687393717467783, -0.24629134607315065, 0.14569052921701223, -0.22147563840448856, -0.16470719873718917, 0.20414228762686254, -0.18948847801238297, 0.15191740208072588, 0.07464190013706684, 0.04023616833984852, -0.12352187171019614, -0.3109587565436959, 0.26677649434283374, 0.1926776222139597, 0.34542749757505953, -0.014428869470953941, 0.12206440826877951, 0.0007886276207864284, -0.04601713815331459, -0.06527956419903785, -0.059197934005991555, 0.1527701619770378, 0.34642441931628853, 0.18906449944525958, 0.22340358684957026, -0.36670149479806424, -0.2889267098903656, 0.02043030001409352, 0.17752956252207513, 0.16974068735260517, -0.10319819952268153, -0.2125668982611969, 0.13794199671596288, -0.23665179366618394, 0.0842156676237937, -0.003069547086954117, -0.09345381965488195, 0.0693097009435296, -0.2899602124840021, 0.0023495791032910347, 0.0664567156964913, 0.039145640812814235, -0.0008195957513526082, -0.16749017985537648, 0.13121925858221947, 0.1245912920460105, -0.010886308508226647, 0.07358735212590545, 0.06837501829117537, -0.05957188807614148, -0.16664776890166103, 0.3536861266940832, -0.04232133065350354, -0.22352673199772835, 0.16410205684090035, 0.008858110673725605, -0.14282796208560466, 0.13685274181142448, 0.255641659706831, 0.08513506300142035, -0.09922852312482427, 0.058953034587670115, -0.05144039775431156, 0.23609736743569373, 0.07348151192441582, 0.17917724638059734, 0.169404967835173, 0.15064123221300543, 0.006008374961093068, 0.20615857616998257, -0.13343730977736412, -0.1323578386232257, -0.23891039111465215, -0.07407374384254217, -0.16945994745194912, -0.07170535326190293, -0.1472429149147356, -0.186756531894207, 0.3521447215593362, 0.15961486806720496, 0.10498559224233031, 0.15765899047348647, 0.3640849025845528, -0.011954786664806306, 0.10546180544421077, 0.23433622636832296, 0.13120271262526512, 0.16963217144832016, 0.04210192117746919, -0.1492383715696633, 0.0934066428616643, 0.06427732408419251] |
712.0272 | Instability of scalar perturbation in a phantomic cosmological scenario | Scalar perturbations can grow during a phantomic cosmological phase as the
big rip is approached, in spite of the high accelerated expansion regime, if
the equation of state is such that $\frac{p}{\rho} = \alpha < - {5/3}$. It is
shown that such result is independent of the spatial curvature. The perturbed
equations are exactly solved for any value of the curvature parameter $k$ and
of the equation of state parameter $\alpha$. Growing modes are found
asymptotically under the condition $\alpha < - {5/3}$. Since the Hubble radius
decreases in a phantom universe, such result indicates that a phantom scenario
may not survive longtime due to gravitational instability.
| gr-qc astro-ph hep-th | scalar perturbations can grow during a phantomic cosmological phase as the big rip is approached in spite of the high accelerated expansion regime if the equation of state is such that fracprho alpha 53 it is shown that such result is independent of the spatial curvature the perturbed equations are exactly solved for any value of the curvature parameter k and of the equation of state parameter alpha growing modes are found asymptotically under the condition alpha 53 since the hubble radius decreases in a phantom universe such result indicates that a phantom scenario may not survive longtime due to gravitational instability | [['scalar', 'perturbations', 'can', 'grow', 'during', 'a', 'phantomic', 'cosmological', 'phase', 'as', 'the', 'big', 'rip', 'is', 'approached', 'in', 'spite', 'of', 'the', 'high', 'accelerated', 'expansion', 'regime', 'if', 'the', 'equation', 'of', 'state', 'is', 'such', 'that', 'fracprho', 'alpha', '53', 'it', 'is', 'shown', 'that', 'such', 'result', 'is', 'independent', 'of', 'the', 'spatial', 'curvature', 'the', 'perturbed', 'equations', 'are', 'exactly', 'solved', 'for', 'any', 'value', 'of', 'the', 'curvature', 'parameter', 'k', 'and', 'of', 'the', 'equation', 'of', 'state', 'parameter', 'alpha', 'growing', 'modes', 'are', 'found', 'asymptotically', 'under', 'the', 'condition', 'alpha', '53', 'since', 'the', 'hubble', 'radius', 'decreases', 'in', 'a', 'phantom', 'universe', 'such', 'result', 'indicates', 'that', 'a', 'phantom', 'scenario', 'may', 'not', 'survive', 'longtime', 'due', 'to', 'gravitational', 'instability']] | [-0.1783293938520134, 0.21072972724490827, -0.09979858970048257, 0.04427481381370142, -0.05999398254558887, -0.14933920179558272, -0.06008144012550906, 0.27837412583262494, -0.266222104633061, -0.2760461447299412, 0.10971046444305246, -0.2755156890811897, -0.10213240870449802, 0.16300419187357668, -0.005484534404471074, 0.0357324855043645, 0.04730880218972959, 0.08710871897130688, -0.022311843062594237, -0.24086411102988417, 0.3180699523291689, 0.06261617778385482, 0.23343493129209716, 0.015340019895183384, 0.07725785682807759, -0.0976133322813502, 0.0452604004513878, 0.05890001701467698, -0.18342200541137751, -0.07807720780815228, 0.19360747416593055, 0.13056520479297587, 0.29796640136011754, -0.37097004185071086, -0.2459694768514226, 0.1682826565615464, 0.22244257204197715, 0.11019797329929205, -0.02551246847551648, -0.25715384059262897, 0.10031834246341766, -0.13612325118144625, -0.1938768334151937, -0.030048963816670497, 0.04277264730691319, -0.0399393953456737, -0.2822833650579473, 0.1717008394281389, 0.04746283842527335, -0.05569265983851239, -0.12791451383935343, -0.06428447780706505, -0.03979899062968717, 0.034879799992178044, 0.12575999952364011, 0.04750370693227073, 0.12302618748554499, -0.1612293375194958, 0.0010047634996676652, 0.36496439281076487, -0.0986348569374716, -0.1617673308321155, 0.11808021965040134, -0.18641790026098048, -0.10160168858779835, 0.15894331634828435, 0.08906337462646868, 0.12911826745136687, -0.05865102927062181, 0.1713435710171505, 0.04911178714563461, 0.19920231354201562, 0.10533783474642008, -0.0018768259600763864, 0.19919252947046615, 0.10706851901578726, 0.06701668200664002, 0.08961259918564027, -0.045270930035131995, -0.10662055649969837, -0.3279349168227746, -0.15993933684865733, -0.20860595003434337, 0.08524702054389066, -0.1812187494745531, -0.1983025437413996, 0.30290884099494997, 0.09220750661368601, 0.205807369852457, 0.026430175778004203, 0.24067644558219922, 0.14132984943508106, 0.027673767243355216, 0.09936728909390398, 0.3304536410671945, 0.11165170072771535, 0.13120890720424674, -0.21461444141085048, 0.07262263368206597, 0.02935795162315711] |
712.0273 | Characteristics of 2D lattice models from fermionic realization: Ising
and $XYZ$ models | We develop a field theoretical approach to the classical two-dimensional
models, particularly to 2D Ising model (2DIM) and $XYZ$ model, which is simple
to apply for calculation of various correlation functions. We calculate the
partition function of 2DIM and $XY$ model within the developed framework.
Determinant representation of spin-spin correlation functions is derived using
fermionic realization for the Boltzmann weights. The approach also allows
formulation of the partition function of 2DIM in the presence of an external
magnetic field.
| cond-mat.str-el cond-mat.stat-mech | we develop a field theoretical approach to the classical twodimensional models particularly to 2d ising model 2dim and xyz model which is simple to apply for calculation of various correlation functions we calculate the partition function of 2dim and xy model within the developed framework determinant representation of spinspin correlation functions is derived using fermionic realization for the boltzmann weights the approach also allows formulation of the partition function of 2dim in the presence of an external magnetic field | [['we', 'develop', 'a', 'field', 'theoretical', 'approach', 'to', 'the', 'classical', 'twodimensional', 'models', 'particularly', 'to', '2d', 'ising', 'model', '2dim', 'and', 'xyz', 'model', 'which', 'is', 'simple', 'to', 'apply', 'for', 'calculation', 'of', 'various', 'correlation', 'functions', 'we', 'calculate', 'the', 'partition', 'function', 'of', '2dim', 'and', 'xy', 'model', 'within', 'the', 'developed', 'framework', 'determinant', 'representation', 'of', 'spinspin', 'correlation', 'functions', 'is', 'derived', 'using', 'fermionic', 'realization', 'for', 'the', 'boltzmann', 'weights', 'the', 'approach', 'also', 'allows', 'formulation', 'of', 'the', 'partition', 'function', 'of', '2dim', 'in', 'the', 'presence', 'of', 'an', 'external', 'magnetic', 'field']] | [-0.09982113648630396, 0.06761313413871788, -0.08064983091965507, 0.09240678971032082, -0.03894515540686589, -0.14343374823161129, -0.026467664591685126, 0.37343530776568606, -0.25456425061897386, -0.2664702507810736, -0.009310094486403315, -0.24112569274033768, -0.20292727218917275, 0.14661848438090255, 0.0772934146284397, 0.07782070096464286, -0.02722900680006965, 0.027990096012908448, -0.11711578785524338, -0.20601401460958244, 0.3096674914719372, 0.010823436694431908, 0.2868580120981117, 0.06876588150080812, 0.09792910475553532, 0.11415192055150489, 0.04878952893534604, 0.02337206447426277, -0.14890795926669542, 0.12438957996760742, 0.15511759115837823, 0.07769964065379169, 0.21053079785071785, -0.4160738640193698, -0.22579708678907232, 0.10382668907412246, 0.13485788054398815, 0.12158879602793604, 0.0033055548025648805, -0.2219034933213946, 0.05113958212968089, -0.2149384214684273, -0.16129222703225252, -0.1259000159422808, -0.005986497416219945, -0.01413978852590994, -0.3467513152185969, 0.0694595700291227, 0.02690564672156131, 0.04934808912486592, -0.11430310636251882, -0.11757147197812041, 0.013654453781598448, 0.10900096363046125, 0.012386574552842427, 0.12748592602136202, 0.08536492194390938, -0.17553753358653829, -0.12936784943441942, 0.35667484798291815, -0.07566415752237073, -0.2814587454394072, 0.14183756793684127, -0.12214973682089697, -0.13621330384424404, 0.047884182161592605, 0.16259301378085173, 0.11644780660000971, -0.18393450902916397, 0.1587247949644711, -0.06730580751937401, 0.12219886261309627, -0.06460182408542856, -0.007904401667934807, 0.19720356161647204, 0.11419331230506112, -0.022998244572383694, 0.23399531477001273, -0.09771075126821105, -0.16456955012311286, -0.30828139513636693, -0.16453383329230112, -0.24481714112519087, 0.03641754613977067, -0.11340175340316093, -0.23722814258093697, 0.4465778037799593, 0.20199603423744417, 0.17805522714470384, 0.09663978111900719, 0.2504768850564768, 0.17430633952534652, 0.06796557365480481, 0.032702799031770306, 0.15604783117821253, 0.20270978563311923, 0.02178049157226246, -0.20460665593796137, -0.023037796449564586, 0.1764938086153397] |
712.0274 | Ages and metallicities of faint red galaxies in the Shapley Supercluster | We present results on the stellar populations of 232 quiescent galaxies in
the Shapley Supercluster, based on spectroscopy from the AAOmega spectrograph
at the AAT. The key characteristic of this survey is its coverage of many
low-luminosity objects (sigma ~ 50 km/s), with high signal-to-noise (~45 per
Angstrom). Balmer-line age estimates are recovered with ~25% precision even for
the faintest sample members. We summarize the observations and absorption line
data, and present correlations of derived ages and metallicities with mass and
luminosity. We highlight the strong correlation between age and alpha-element
abundance ratio, and the anti-correlation of age and metallicity at fixed mass,
which is shown to extend into the low-luminosity regime.
| astro-ph | we present results on the stellar populations of 232 quiescent galaxies in the shapley supercluster based on spectroscopy from the aaomega spectrograph at the aat the key characteristic of this survey is its coverage of many lowluminosity objects sigma 50 kms with high signaltonoise 45 per angstrom balmerline age estimates are recovered with 25 precision even for the faintest sample members we summarize the observations and absorption line data and present correlations of derived ages and metallicities with mass and luminosity we highlight the strong correlation between age and alphaelement abundance ratio and the anticorrelation of age and metallicity at fixed mass which is shown to extend into the lowluminosity regime | [['we', 'present', 'results', 'on', 'the', 'stellar', 'populations', 'of', '232', 'quiescent', 'galaxies', 'in', 'the', 'shapley', 'supercluster', 'based', 'on', 'spectroscopy', 'from', 'the', 'aaomega', 'spectrograph', 'at', 'the', 'aat', 'the', 'key', 'characteristic', 'of', 'this', 'survey', 'is', 'its', 'coverage', 'of', 'many', 'lowluminosity', 'objects', 'sigma', '50', 'kms', 'with', 'high', 'signaltonoise', '45', 'per', 'angstrom', 'balmerline', 'age', 'estimates', 'are', 'recovered', 'with', '25', 'precision', 'even', 'for', 'the', 'faintest', 'sample', 'members', 'we', 'summarize', 'the', 'observations', 'and', 'absorption', 'line', 'data', 'and', 'present', 'correlations', 'of', 'derived', 'ages', 'and', 'metallicities', 'with', 'mass', 'and', 'luminosity', 'we', 'highlight', 'the', 'strong', 'correlation', 'between', 'age', 'and', 'alphaelement', 'abundance', 'ratio', 'and', 'the', 'anticorrelation', 'of', 'age', 'and', 'metallicity', 'at', 'fixed', 'mass', 'which', 'is', 'shown', 'to', 'extend', 'into', 'the', 'lowluminosity', 'regime']] | [-0.03016504076590577, 0.08560715476050973, -0.06107655413415249, 0.10093865720743968, -0.04894313127586937, -0.08452825598536176, 0.08140783297602792, 0.4707409866355561, -0.11873266402934049, -0.4182164707632215, 0.04092977324244776, -0.32776062996000854, 0.031583402746331854, 0.17999966718940283, -0.04711147010544533, -0.05206145500074149, 0.08169664248094163, -0.05766352515684457, -0.04982562904111907, -0.2822657109275964, 0.30378268144999604, 0.07349124752605955, 0.18652077440617118, -0.017411052433958463, 0.08862527799771612, -0.10467475768480752, -0.10329498280404001, -0.018068849052478735, -0.19961998203081321, 0.04465131311434078, 0.2623989097438417, 0.16214104578620545, 0.24198975671200199, -0.24445905654683556, -0.12146187808180044, 0.05423718196683907, 0.2144399641778085, 0.007779476319876005, -0.07244178391615483, -0.2855164952542599, 0.05678789067996649, -0.13122618434162023, -0.17389490304363742, 0.10727051407233015, 0.03528092528047325, 0.037355203038870216, -0.21591062582861464, 0.19156914280500967, -0.06397636012417508, 0.1832893767524175, -0.15438752105933623, -0.1868849762941937, -0.07034843220367087, 0.09935136466771616, -0.003063396639861838, 0.016958786321485095, 0.1397809592990188, -0.14349081160643282, 0.02076357047688132, 0.36334643853610166, -0.12115211360290781, 0.06360146990633225, 0.22511833684669957, -0.244439840746775, -0.18002868304029107, 0.11145473973561279, 0.1675702155324387, 0.09953981045599994, -0.15307952075156275, -0.00440936646296282, -0.016989553519230975, 0.25685684976948275, 0.017816992900292348, 0.10513845598744648, 0.26797308560527927, 0.11980670479940134, 0.03371025519477002, 0.028826197670135008, -0.2866409847823282, -0.003579468894246462, -0.22558714326068358, -0.10333496635687445, -0.08977436238106944, 0.08228776136597803, -0.18663001670368407, -0.08084169608359393, 0.3410454810731247, 0.15626622843010737, 0.24499803909251616, 0.1584656562012209, 0.2887175324507192, 0.10758560607293705, 0.12737473660056386, 0.09745820139761309, 0.31201330230462254, 0.22694945822864235, 0.08823110120840841, -0.24878731210346897, 0.07571443729522126, -0.0023059326744227257] |
712.0275 | The effect of time distribution shape on simulated epidemic models | By convention, and even more often, as an unintentional consequence of
design, time distributions of latency and infectious durations in stochastic
epidemic simulations are often exponential. The skewed distribtion typically
leads to unrealistically short times. We examine the effects of altering the
distribution latency and infectious times by comparing the key results after
simulation with exponential and gamma distributions in a homogeneous mixing
model aswell as a model with regional divisions connected by a travel intensity
matrix. We show a delay in spread with more realistic latency times and offer
an explanation of the effect.
| q-bio.QM | by convention and even more often as an unintentional consequence of design time distributions of latency and infectious durations in stochastic epidemic simulations are often exponential the skewed distribtion typically leads to unrealistically short times we examine the effects of altering the distribution latency and infectious times by comparing the key results after simulation with exponential and gamma distributions in a homogeneous mixing model aswell as a model with regional divisions connected by a travel intensity matrix we show a delay in spread with more realistic latency times and offer an explanation of the effect | [['by', 'convention', 'and', 'even', 'more', 'often', 'as', 'an', 'unintentional', 'consequence', 'of', 'design', 'time', 'distributions', 'of', 'latency', 'and', 'infectious', 'durations', 'in', 'stochastic', 'epidemic', 'simulations', 'are', 'often', 'exponential', 'the', 'skewed', 'distribtion', 'typically', 'leads', 'to', 'unrealistically', 'short', 'times', 'we', 'examine', 'the', 'effects', 'of', 'altering', 'the', 'distribution', 'latency', 'and', 'infectious', 'times', 'by', 'comparing', 'the', 'key', 'results', 'after', 'simulation', 'with', 'exponential', 'and', 'gamma', 'distributions', 'in', 'a', 'homogeneous', 'mixing', 'model', 'aswell', 'as', 'a', 'model', 'with', 'regional', 'divisions', 'connected', 'by', 'a', 'travel', 'intensity', 'matrix', 'we', 'show', 'a', 'delay', 'in', 'spread', 'with', 'more', 'realistic', 'latency', 'times', 'and', 'offer', 'an', 'explanation', 'of', 'the', 'effect']] | [-0.1299898964724444, 0.151404531531722, -0.08323147127087763, 0.11410149428597156, 0.008177850593594795, -0.15114614377392732, 0.0820993172002342, 0.41566089802282924, -0.22799675405382158, -0.3297296417282617, 0.11360862320214708, -0.24912965707381832, -0.1433660685817929, 0.18397690567306857, -0.0858714460256569, 0.02664346691404291, 0.06488500447309714, -0.017977693381947168, -0.043667691058796296, -0.24122856357233954, 0.26190144029703544, 0.1165619338515829, 0.2491855280711613, 0.02263950459173623, 0.05529330349329146, 0.010795586455137805, -0.06438323463551066, 0.006348120363211219, -0.08780910696789741, 0.054826473319368, 0.21766502641765598, 0.11774427626044193, 0.3016833412421352, -0.5046509530474531, -0.2483971891825662, 0.1253380636000966, 0.1406282077520526, 0.08367461420873061, -0.016194348923547413, -0.27135384345347896, 0.027395887543110453, -0.20223736819474303, -0.13859604954461943, 0.0050795663004503284, 0.06559207687213858, 0.09322994191476956, -0.29471749894722227, 0.13968014137502363, 0.013209009196292212, 0.05575339486506679, 0.004112674101711588, -0.10164643921195826, -0.01777162288929871, 0.1040657235549743, 0.10757242377966325, -0.008113491591660584, 0.10757618893849406, -0.14117799589331162, -0.10574107759810508, 0.37873821668425933, -0.052698703492654764, -0.17867810893469452, 0.1444613044645558, -0.11110384419976556, -0.05641285081374201, 0.16190860818754485, 0.2189771440350748, 0.0674794433400669, -0.15792039938845692, -0.011931120918969564, 0.014920796832426432, 0.1640638564180761, 0.06578953576303939, 0.01597882197932043, 0.1644592580108091, 0.23459155137274176, 0.09262964992407471, 0.07502921788824445, -0.08203077800026996, -0.12650615393996556, -0.2532494696639874, -0.09343637166386272, -0.11467870481391536, 0.115456652064669, -0.16079051185698381, -0.140125073081358, 0.3854945062540789, 0.1355619414243847, 0.2391679530388656, 0.13653753925005885, 0.2961358071126519, 0.11438643650716528, 0.0346248671759237, 0.09248878775171296, 0.09555053585357567, 0.07226867434330919, 0.07896321788033907, -0.18504562114979675, 0.18809641123144946, -0.05454819591497963] |
712.0276 | Energy-momentum complexes in f(R) theories of gravity | Despite the fact that modified theories of gravity, in particular the f(R)
gravity models have attracted much attention in the last years, the problem of
the energy localization in the framework of these models has not been
addressed. In the present work the concept of energy-momentum complexes is
presented in this context. We generalize the Landau-Lifshitz prescription of
calculating the energy-momentum complex to the framework of f(R) gravity. As an
important special case, we explicitly calculate the energy-momentum complex for
the Schwarzschild-de Sitter metric for a general f(R) theory as well as for a
number of specific, popular choices of f(R).
| gr-qc astro-ph hep-th | despite the fact that modified theories of gravity in particular the fr gravity models have attracted much attention in the last years the problem of the energy localization in the framework of these models has not been addressed in the present work the concept of energymomentum complexes is presented in this context we generalize the landaulifshitz prescription of calculating the energymomentum complex to the framework of fr gravity as an important special case we explicitly calculate the energymomentum complex for the schwarzschildde sitter metric for a general fr theory as well as for a number of specific popular choices of fr | [['despite', 'the', 'fact', 'that', 'modified', 'theories', 'of', 'gravity', 'in', 'particular', 'the', 'fr', 'gravity', 'models', 'have', 'attracted', 'much', 'attention', 'in', 'the', 'last', 'years', 'the', 'problem', 'of', 'the', 'energy', 'localization', 'in', 'the', 'framework', 'of', 'these', 'models', 'has', 'not', 'been', 'addressed', 'in', 'the', 'present', 'work', 'the', 'concept', 'of', 'energymomentum', 'complexes', 'is', 'presented', 'in', 'this', 'context', 'we', 'generalize', 'the', 'landaulifshitz', 'prescription', 'of', 'calculating', 'the', 'energymomentum', 'complex', 'to', 'the', 'framework', 'of', 'fr', 'gravity', 'as', 'an', 'important', 'special', 'case', 'we', 'explicitly', 'calculate', 'the', 'energymomentum', 'complex', 'for', 'the', 'schwarzschildde', 'sitter', 'metric', 'for', 'a', 'general', 'fr', 'theory', 'as', 'well', 'as', 'for', 'a', 'number', 'of', 'specific', 'popular', 'choices', 'of', 'fr']] | [-0.1045727099126002, 0.038547450557983906, -0.06153755212239552, 0.11966399509127777, -0.08880567244521462, -0.11606989764045961, -0.1057231687758542, 0.32001827223835017, -0.17873695637975442, -0.29043211452294104, 0.03767234592186748, -0.20479320294205283, -0.1867163776775066, 0.16592551604786998, -0.08692492521598492, 0.04648999009502701, -0.02795271023342589, 0.07362510664111907, -0.09231151072631157, -0.22793811524637264, 0.38155487226322293, 0.11634151802610347, 0.2753197778993757, 0.05322127938408884, 0.08764757264848097, -0.013649701413993567, -0.019928140833162435, 0.08775772272244944, -0.1635368740706074, 0.10992798211726149, 0.23978931535507084, 0.14448849718307727, 0.2857677490533431, -0.4273924556477825, -0.31627092569476306, 0.11078096101392466, 0.12874333848162453, 0.17239975215553646, -0.06890034735534746, -0.25853646107451383, 0.047763887989924904, -0.24096071999520063, -0.11609069705654931, -0.05277827822621727, 0.06014448278906322, -0.05257321291114434, -0.18528264880383222, 0.07165867043428566, 0.044502067924846, -0.01860133340895766, -0.09288767153526296, -0.09795101634157581, -0.00572932378785445, 0.10111006352552536, 0.14158074177644853, 0.033383255838278204, 0.07226679893671581, -0.17527168671748056, -0.09938932539915925, 0.44472201218330626, -0.08199160604156774, -0.23861149510387147, 0.1419425450615806, -0.12160096301392902, -0.19752270348443843, 0.02176207053765544, 0.15936164176183762, 0.21841821826920652, -0.15002884145936754, 0.19235319466016595, -0.046237861931250235, 0.0664214932977563, 0.07759468553882867, 0.051471132170155386, 0.2529903868591358, 0.11770138271973643, -0.009587414707933175, 0.1415847284202971, -0.03447029547360126, -0.12247570128281518, -0.32734862471571063, -0.18968362374505546, -0.16015444973041074, 0.02954254280859351, -0.11867581367363582, -0.16392383530809737, 0.4094322609466196, 0.15976317371440577, 0.12289379067294816, 0.06313851250261807, 0.26638087903213975, 0.12050798838833661, 0.08276760770413692, 0.04269451301286716, 0.31497187375339986, 0.14177566021680832, 0.12822431918132202, -0.19922507097391357, -0.023348810243429524, 0.1090947052390121] |
712.0277 | The effect of radiation pressure on dusty absorbing gas around AGN | Many Active Galactic Nuclei (AGN) are surrounded by gas which absorbs the
radiation produced by accretion onto the central black hole and obscures the
nucleus from direct view. The dust component of the gas greatly enhances the
effect of radiation pressure above that for Thomson scattering so that an AGN
which is sub-Eddington for ionized gas in the usual sense can appear
super-Eddington for cold dusty gas. The radiation-pressure enhancement factor
depends on the AGN spectrum but ranges between unity and about 500, depending
on the column density. It means that an AGN for which the absorption is
long-lived should have a column density N_H>5x10^23 lambda cm^-2, where lambda
is its Eddington fraction L_bol/L_Edd, provided that N_H}>5x10^21 cm^-2. We
have compared the distribution of several samples of AGN - local, CDFS and
Lockman Hole - with this expectation and find good agreement. We show that the
limiting enhancement factor can explain the black hole mass - bulge mass
relation and note that the effect of radiation pressure on dusty gas may be a
key component in the feedback of momentum and energy from a central black hole
to a galaxy.
| astro-ph | many active galactic nuclei agn are surrounded by gas which absorbs the radiation produced by accretion onto the central black hole and obscures the nucleus from direct view the dust component of the gas greatly enhances the effect of radiation pressure above that for thomson scattering so that an agn which is subeddington for ionized gas in the usual sense can appear supereddington for cold dusty gas the radiationpressure enhancement factor depends on the agn spectrum but ranges between unity and about 500 depending on the column density it means that an agn for which the absorption is longlived should have a column density n_h5x1023 lambda cm2 where lambda is its eddington fraction l_boll_edd provided that n_h5x1021 cm2 we have compared the distribution of several samples of agn local cdfs and lockman hole with this expectation and find good agreement we show that the limiting enhancement factor can explain the black hole mass bulge mass relation and note that the effect of radiation pressure on dusty gas may be a key component in the feedback of momentum and energy from a central black hole to a galaxy | [['many', 'active', 'galactic', 'nuclei', 'agn', 'are', 'surrounded', 'by', 'gas', 'which', 'absorbs', 'the', 'radiation', 'produced', 'by', 'accretion', 'onto', 'the', 'central', 'black', 'hole', 'and', 'obscures', 'the', 'nucleus', 'from', 'direct', 'view', 'the', 'dust', 'component', 'of', 'the', 'gas', 'greatly', 'enhances', 'the', 'effect', 'of', 'radiation', 'pressure', 'above', 'that', 'for', 'thomson', 'scattering', 'so', 'that', 'an', 'agn', 'which', 'is', 'subeddington', 'for', 'ionized', 'gas', 'in', 'the', 'usual', 'sense', 'can', 'appear', 'supereddington', 'for', 'cold', 'dusty', 'gas', 'the', 'radiationpressure', 'enhancement', 'factor', 'depends', 'on', 'the', 'agn', 'spectrum', 'but', 'ranges', 'between', 'unity', 'and', 'about', '500', 'depending', 'on', 'the', 'column', 'density', 'it', 'means', 'that', 'an', 'agn', 'for', 'which', 'the', 'absorption', 'is', 'longlived', 'should', 'have', 'a', 'column', 'density', 'n_h5x1023', 'lambda', 'cm2', 'where', 'lambda', 'is', 'its', 'eddington', 'fraction', 'l_boll_edd', 'provided', 'that', 'n_h5x1021', 'cm2', 'we', 'have', 'compared', 'the', 'distribution', 'of', 'several', 'samples', 'of', 'agn', 'local', 'cdfs', 'and', 'lockman', 'hole', 'with', 'this', 'expectation', 'and', 'find', 'good', 'agreement', 'we', 'show', 'that', 'the', 'limiting', 'enhancement', 'factor', 'can', 'explain', 'the', 'black', 'hole', 'mass', 'bulge', 'mass', 'relation', 'and', 'note', 'that', 'the', 'effect', 'of', 'radiation', 'pressure', 'on', 'dusty', 'gas', 'may', 'be', 'a', 'key', 'component', 'in', 'the', 'feedback', 'of', 'momentum', 'and', 'energy', 'from', 'a', 'central', 'black', 'hole', 'to', 'a', 'galaxy']] | [-0.047836538915037856, 0.12950752969419055, -0.039375740626977906, 0.09540329019388033, -0.049262386729084964, -0.060662702269650794, 0.034521793735188405, 0.4044982255033746, -0.16321465997843423, -0.3088528794714728, 0.05071910615834231, -0.3308118789179905, 0.019657148926745395, 0.21634154111348294, -0.019717574743805706, -0.053737127484212555, -0.042601681631561875, -0.0649755948462297, -0.03849099177766491, -0.2271442871465272, 0.36258203948822776, 0.14004702760611434, 0.1907083583026621, 0.03968717726407654, 0.11673099864525972, -0.06699687300023396, -0.018193617880948493, 0.004651041410083102, -0.1240260285859443, 0.03998837271969564, 0.2402849823135782, 0.08710085144266486, 0.23048383427683164, -0.3633399712978988, -0.24066493387862636, 0.07633971429706828, 0.20165823253274368, 0.050627193345084184, -0.1232737894377646, -0.19707905871642603, 0.03457449435986377, -0.267918099749934, -0.14042975433115537, 0.05087500537015699, 0.05256239522399532, 0.010898947725640814, -0.24606825225055218, 0.16741712928900646, 0.05650727659293979, -0.022735599282424194, -0.10354709810942311, -0.07164846978628554, -0.08860674241645815, 0.03257070927805192, 0.08269277196377516, 0.0758455328363296, 0.32824989720876957, -0.17496251444634353, 0.009329827380920383, 0.37196649772719154, -0.049158225138042425, -0.04084723718288178, 0.20058473744681357, -0.25473140619091084, -0.11239884306701857, 0.2175005687211917, 0.13328471244564533, 0.0909895600801384, -0.09082719556030792, 0.03254659586724498, -0.10061712231348596, 0.26256762489273744, 0.04199517488328589, 0.06372171056655872, 0.37265199012047534, 0.08278025844814003, 0.024469953686993166, 0.10937026715648637, -0.15403795512267263, -0.030804411128062655, -0.251039909149325, -0.10795353987833133, -0.14934170380536768, 0.12517684540975638, -0.15616254861454001, -0.103827286179404, 0.2758377078417185, 0.10565482733985157, 0.2458762417320867, -0.0007342990759974094, 0.3094041409147148, 0.14202307550979124, 0.0658587703091168, 0.15836787026979635, 0.35718182284334626, 0.16538100360917884, 0.05737880766328827, -0.26744889752889, 0.05655538284930092, 0.02825459642461627] |
712.0278 | Entropy Rate of Diffusion Processes on Complex Networks | The concept of entropy rate for a dynamical process on a graph is introduced.
We study diffusion processes where the node degrees are used as a local
information by the random walkers. We describe analitically and numerically how
the degree heterogeneity and correlations affect the diffusion entropy rate. In
addition, the entropy rate is used to characterize complex networks from the
real world. Our results point out how to design optimal diffusion processes
that maximize the entropy for a given network structure, providing a new
theoretical tool with applications to social, technological and communication
networks.
| cond-mat.stat-mech physics.data-an | the concept of entropy rate for a dynamical process on a graph is introduced we study diffusion processes where the node degrees are used as a local information by the random walkers we describe analitically and numerically how the degree heterogeneity and correlations affect the diffusion entropy rate in addition the entropy rate is used to characterize complex networks from the real world our results point out how to design optimal diffusion processes that maximize the entropy for a given network structure providing a new theoretical tool with applications to social technological and communication networks | [['the', 'concept', 'of', 'entropy', 'rate', 'for', 'a', 'dynamical', 'process', 'on', 'a', 'graph', 'is', 'introduced', 'we', 'study', 'diffusion', 'processes', 'where', 'the', 'node', 'degrees', 'are', 'used', 'as', 'a', 'local', 'information', 'by', 'the', 'random', 'walkers', 'we', 'describe', 'analitically', 'and', 'numerically', 'how', 'the', 'degree', 'heterogeneity', 'and', 'correlations', 'affect', 'the', 'diffusion', 'entropy', 'rate', 'in', 'addition', 'the', 'entropy', 'rate', 'is', 'used', 'to', 'characterize', 'complex', 'networks', 'from', 'the', 'real', 'world', 'our', 'results', 'point', 'out', 'how', 'to', 'design', 'optimal', 'diffusion', 'processes', 'that', 'maximize', 'the', 'entropy', 'for', 'a', 'given', 'network', 'structure', 'providing', 'a', 'new', 'theoretical', 'tool', 'with', 'applications', 'to', 'social', 'technological', 'and', 'communication', 'networks']] | [-0.11235912404464264, 0.08891846184912873, -0.07300910280135117, 0.07906357992854426, -0.0435716060578431, -0.11381460111710782, 0.08500761724028148, 0.3558531629803934, -0.33214522704089944, -0.2284357023866553, 0.09513391806670514, -0.2841265948832427, -0.23311689808768662, 0.1740857681014428, -0.043816033966447177, 0.08593229872027511, 0.04618827407248318, 0.06561184175018417, 0.03207451182809708, -0.24779144026933386, 0.32359619241599974, 0.10980725441324084, 0.30645088217172184, 0.0859559780084773, 0.11532126038678382, 0.008701462112367154, -0.02326861382094457, 0.03996829363443938, -0.18614225964296277, 0.1345558955089042, 0.2542913476691434, 0.16871174816532356, 0.27371546167537175, -0.4013024072407892, -0.27049254779949, 0.12978212584398294, 0.09927551091991757, 0.103143125110747, -0.03316356456274853, -0.25520226397600615, 0.0667557871606397, -0.16081820761089483, -0.11405718532930079, -0.10117901857868818, 0.007874584364655771, 0.044010351889913805, -0.29463928453440436, 0.07008550485694094, 0.03159701700022101, 0.04669702603040557, 0.013404039803304171, -0.05258570902637745, -0.036165583141050055, 0.1952067126961131, 0.0075936885057384836, 0.004747064726574248, 0.18352809239571033, -0.1219160235903569, -0.1822436061050547, 0.35566543034817044, -0.04935123969580194, -0.2363940011391318, 0.1947128184213254, -0.1003271197949193, -0.11582254818885734, 0.10657531965867077, 0.2579819460301415, 0.10462187537923455, -0.1987752910415446, 0.03343444076231926, 0.021084894396756825, 0.15097536800190267, 0.00797703204382407, 0.05105688590556383, 0.15583542755461838, 0.1833864323402706, 0.08452151769183969, 0.15682957098623249, -0.07308131848265859, -0.16648845117735236, -0.24769486588867087, -0.18522928169879474, -0.2235805172252616, 0.0685701753821616, -0.15078332844683534, -0.11063987712718938, 0.40214611820288393, 0.17328636457800473, 0.21547854092266214, 0.06589350086685858, 0.2595805753292026, 0.10114124560924737, 0.03351908706520733, 0.09816959540506727, 0.17557105591618702, 0.14946557381619258, 0.15074116670967716, -0.21112290241167342, 0.135548612203351, 0.04976858216779013] |
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