id
float64
706
1.8k
title
stringlengths
1
343
abstract
stringlengths
6
6.09k
categories
stringlengths
5
125
processed_abstract
stringlengths
2
5.96k
tokenized_abstract
stringlengths
8
8.74k
centroid
stringlengths
2.1k
2.17k
706.3514
Charge Inversion of Divalent Ionic Solutions in Silica Channels
Recent experiments (F.H.J. Van Der Heyden et al., PRL 96, 224502 (2006)) of streaming currents in silica nanochannels with divalent ions report charge inversion, i.e. interfacial charges attracting counterions in excess of their own nominal charge, in conflict with existing theoretical and simulation results. We reveal the mechanism of charge inversion by using all-atomic molecular dynamics simulations. Our results show excellent agreement with experiments, both qualitatively and quantitatively. We further discuss the implications of our study for the general problem of ionic correlations in solutions as well as in regards of the properties of silica-water interfaces.
cond-mat.mtrl-sci
recent experiments fhj van der heyden et al prl 96 224502 2006 of streaming currents in silica nanochannels with divalent ions report charge inversion ie interfacial charges attracting counterions in excess of their own nominal charge in conflict with existing theoretical and simulation results we reveal the mechanism of charge inversion by using allatomic molecular dynamics simulations our results show excellent agreement with experiments both qualitatively and quantitatively we further discuss the implications of our study for the general problem of ionic correlations in solutions as well as in regards of the properties of silicawater interfaces
[['recent', 'experiments', 'fhj', 'van', 'der', 'heyden', 'et', 'al', 'prl', '96', '224502', '2006', 'of', 'streaming', 'currents', 'in', 'silica', 'nanochannels', 'with', 'divalent', 'ions', 'report', 'charge', 'inversion', 'ie', 'interfacial', 'charges', 'attracting', 'counterions', 'in', 'excess', 'of', 'their', 'own', 'nominal', 'charge', 'in', 'conflict', 'with', 'existing', 'theoretical', 'and', 'simulation', 'results', 'we', 'reveal', 'the', 'mechanism', 'of', 'charge', 'inversion', 'by', 'using', 'allatomic', 'molecular', 'dynamics', 'simulations', 'our', 'results', 'show', 'excellent', 'agreement', 'with', 'experiments', 'both', 'qualitatively', 'and', 'quantitatively', 'we', 'further', 'discuss', 'the', 'implications', 'of', 'our', 'study', 'for', 'the', 'general', 'problem', 'of', 'ionic', 'correlations', 'in', 'solutions', 'as', 'well', 'as', 'in', 'regards', 'of', 'the', 'properties', 'of', 'silicawater', 'interfaces']]
[-0.08837581232705331, 0.09482793829978463, -0.011797430736825187, 0.0007444482910981837, 0.029183022776975275, -0.10459129528162327, 0.07328115864111943, 0.3719955562871504, -0.19063140296976658, -0.35520975426473517, -0.0044756511639942355, -0.3501925454227293, -0.1823027349235688, 0.17131146698437155, -0.030652402185567435, 0.07590621137406994, 0.06093772968396227, -0.10207645059315527, -0.0459800054854218, -0.2019757942380625, 0.2119910592371796, 0.12217553273001884, 0.31579563778607134, 0.15941198114702043, 0.042402949298117706, -0.008899698194928784, -0.014696296311895106, 0.06044002621375183, -0.20014229143147377, 0.08888718331148451, 0.24875223855339387, -0.019340553915405526, 0.1984004462682741, -0.5077714857130133, -0.22511316423225117, -0.011063237293088373, 0.11767863397030755, 0.17020038854172256, -0.16683224670866387, -0.29558279278113486, 0.04725425305994267, -0.17693490789896074, -0.1311209009157771, -0.0895577083227839, 0.037293499117677514, 0.12856834863084665, -0.2607118846214515, 0.15358113450929523, 0.06304663140450585, 0.09033719815829015, -0.11305436285886358, -0.15212585749674312, -0.06444743580551461, 0.07124552528121252, 0.06462330512821357, -0.0077704647258716696, 0.17627269701358486, -0.106444785237669, -0.17610175668836592, 0.35499430352207667, -0.04414152788701765, -0.14784928350436918, 0.23698252146231366, -0.15154856953155646, -0.08591624082343534, 0.09606442992337683, 0.08469914454233615, 0.09539664263262394, -0.10189754137536511, 0.09841833841129939, -0.07676816146147061, 0.15021666153235005, 0.06107280223551107, 0.04599320879346936, 0.22081221541033147, 0.16933864239941382, -0.030398710933018554, 0.11855689431738822, -0.06345894104959642, -0.1260805091940788, -0.21604886041716376, -0.1849942835681933, -0.17479448058850508, -0.004272114123871669, -0.0582295706445485, -0.11253225395178541, 0.36405896976035323, 0.1957490927084012, 0.19483251116198905, -0.003304836768756046, 0.24393595845507893, -0.0015866685302016582, -0.011422470962490015, 0.040217825419646, 0.28855698586174067, 0.1260094840619515, 0.14636255593653372, -0.29441483070122754, 0.051116408169655965, 0.021797825701217702]
706.3515
Wedderburn polynomials over division rings, II
A polynomial $f(t)$ in an Ore extension $K[t;S,D]$ over a division ring $K$ is a Wedderburn polynomial if $f(t)$ is monic and is the minimal polynomial of an algebraic subset of $K$. These polynomials have been studied in "Wedderburn polynomials over division rings,I (Journal of Pure and Applied Algebra, Vol. 186, (2004), 43-76). In this paper, we continue this study and give some applications to triangulation, diagonalization and eigenvalues of matrices over a division ring in the general setting of $(S,D)$-pseudo-linear transformations. In the last section we introduce and study the notion of $G$-algebraic sets which, in particular, permits generalization of Wedderburn's theorem relative to factorization of central polynomials.
math.RA
a polynomial ft in an ore extension ktsd over a division ring k is a wedderburn polynomial if ft is monic and is the minimal polynomial of an algebraic subset of k these polynomials have been studied in wedderburn polynomials over division ringsi journal of pure and applied algebra vol 186 2004 4376 in this paper we continue this study and give some applications to triangulation diagonalization and eigenvalues of matrices over a division ring in the general setting of sdpseudolinear transformations in the last section we introduce and study the notion of galgebraic sets which in particular permits generalization of wedderburns theorem relative to factorization of central polynomials
[['a', 'polynomial', 'ft', 'in', 'an', 'ore', 'extension', 'ktsd', 'over', 'a', 'division', 'ring', 'k', 'is', 'a', 'wedderburn', 'polynomial', 'if', 'ft', 'is', 'monic', 'and', 'is', 'the', 'minimal', 'polynomial', 'of', 'an', 'algebraic', 'subset', 'of', 'k', 'these', 'polynomials', 'have', 'been', 'studied', 'in', 'wedderburn', 'polynomials', 'over', 'division', 'ringsi', 'journal', 'of', 'pure', 'and', 'applied', 'algebra', 'vol', '186', '2004', '4376', 'in', 'this', 'paper', 'we', 'continue', 'this', 'study', 'and', 'give', 'some', 'applications', 'to', 'triangulation', 'diagonalization', 'and', 'eigenvalues', 'of', 'matrices', 'over', 'a', 'division', 'ring', 'in', 'the', 'general', 'setting', 'of', 'sdpseudolinear', 'transformations', 'in', 'the', 'last', 'section', 'we', 'introduce', 'and', 'study', 'the', 'notion', 'of', 'galgebraic', 'sets', 'which', 'in', 'particular', 'permits', 'generalization', 'of', 'wedderburns', 'theorem', 'relative', 'to', 'factorization', 'of', 'central', 'polynomials']]
[-0.18018316191931566, 0.014790926949353888, -0.12593427473413094, -0.01568334528267206, -0.06158611772670632, -0.08432375064917973, -0.021793707290531268, 0.3088135624703552, -0.33259744991415313, -0.17757266386012946, 0.10239611694899699, -0.20497256397225316, -0.15631473050231026, 0.1822640921920538, -0.14261016137676225, -0.01041545677885768, 0.026376013165073736, 0.07733208314471302, -0.09710399937328129, -0.3275913743989631, 0.30116945039037435, 0.029635001554907787, 0.18568931611121764, 0.03584165396612315, 0.1111431796236762, 0.05605468253738114, -0.06438205477648548, -0.032486241027003246, -0.1686737344777655, 0.09851337281898373, 0.3341023982458171, 0.13443424037125493, 0.25598151807318487, -0.3584906039404727, -0.09302773356570729, 0.22541904344799973, 0.16733603079628664, 0.024035162923281037, 0.0007365454254405839, -0.19990420306677975, 0.13199419768504975, -0.2428948895207473, -0.1248626362776295, -0.05520037388695138, 0.11571878620556422, -0.0018530971459334805, -0.28882861594181686, 0.020011535561865284, 0.10480892309465811, 0.19347270041928694, -0.01904970398616223, -0.13418780917168727, 0.09378165421076119, 0.011683735238122089, -0.05495549080050772, 0.014318899584135838, 0.053320416883521134, -0.047866899169804085, -0.15323216947726906, 0.3799910258324373, -0.03772160434829337, -0.20543900075412933, 0.15180885562939303, -0.19306452608933405, -0.16788490249642304, 0.09501378773489878, 0.1558073359674641, 0.13028602738243839, -0.10767803826768484, 0.2343721652641848, -0.16541078168721426, 0.1005770246010451, 0.1836863055293049, 0.013004490562958554, 0.1219616404867598, 0.05054144013806113, 0.06347699476062275, 0.16422107248966183, 0.014881905753697668, -0.09503212191519284, -0.30319242204229035, -0.2109590906960269, -0.144650309508489, 0.09947500519809269, -0.11864955870010557, -0.16378546974488667, 0.456030738158595, 0.0617760112287388, 0.14248424029598633, 0.07062759870064578, 0.19940366806196316, 0.10280676253494762, 0.06070483033767059, 0.061310535700370865, 0.10335380181453989, 0.2600494980723375, 0.07353702733137955, -0.13562047922917242, -0.02517047358588094, 0.1366446414075437]
706.3516
New Developments and Future Perspectives of Gaseous Detectors
Gaseous detectors are fundamental components of all present and planned high energy physics experiments. Over the past decade two representatives (GEM, Micromegas) of the Micro-Pattern Gas Detector (MPGD) concept have become increasingly important; the high radiation resistance and excellent spatial and time resolution make them an invaluable tool to confront future detector challenges at the next generation of colliders. Novel structures where GEM and Micromegas are directly coupled to the CMOS multi-pixel readout represent an exciting field and allow to reconstruct fine-granularity, two-dimensional images of physics events. Originally developed for the high energy physics, MPGD applications have expanded to astrophysics, neutrino physics, neutron detection and medical imaging.
physics.ins-det
gaseous detectors are fundamental components of all present and planned high energy physics experiments over the past decade two representatives gem micromegas of the micropattern gas detector mpgd concept have become increasingly important the high radiation resistance and excellent spatial and time resolution make them an invaluable tool to confront future detector challenges at the next generation of colliders novel structures where gem and micromegas are directly coupled to the cmos multipixel readout represent an exciting field and allow to reconstruct finegranularity twodimensional images of physics events originally developed for the high energy physics mpgd applications have expanded to astrophysics neutrino physics neutron detection and medical imaging
[['gaseous', 'detectors', 'are', 'fundamental', 'components', 'of', 'all', 'present', 'and', 'planned', 'high', 'energy', 'physics', 'experiments', 'over', 'the', 'past', 'decade', 'two', 'representatives', 'gem', 'micromegas', 'of', 'the', 'micropattern', 'gas', 'detector', 'mpgd', 'concept', 'have', 'become', 'increasingly', 'important', 'the', 'high', 'radiation', 'resistance', 'and', 'excellent', 'spatial', 'and', 'time', 'resolution', 'make', 'them', 'an', 'invaluable', 'tool', 'to', 'confront', 'future', 'detector', 'challenges', 'at', 'the', 'next', 'generation', 'of', 'colliders', 'novel', 'structures', 'where', 'gem', 'and', 'micromegas', 'are', 'directly', 'coupled', 'to', 'the', 'cmos', 'multipixel', 'readout', 'represent', 'an', 'exciting', 'field', 'and', 'allow', 'to', 'reconstruct', 'finegranularity', 'twodimensional', 'images', 'of', 'physics', 'events', 'originally', 'developed', 'for', 'the', 'high', 'energy', 'physics', 'mpgd', 'applications', 'have', 'expanded', 'to', 'astrophysics', 'neutrino', 'physics', 'neutron', 'detection', 'and', 'medical', 'imaging']]
[-0.030424742402930995, 0.136238056302743, -0.04720493248080678, 0.06370134622067491, -0.07591100002282133, -0.19282089471795258, -0.12753222634902694, 0.3497500889020685, -0.22861824776089498, -0.38785457115394073, 0.11066327545852792, -0.3248947098999171, -0.018997626540155334, 0.2556170530521494, 0.01385524193973881, 0.13341244549336018, 0.09050744272350708, -0.05846945650953904, -0.055049032402642625, -0.2342680158195843, 0.2134927450439884, 0.21957751854636193, 0.30819775177183273, 0.046846401899461154, 0.17587996663734595, -0.04912011424149169, -0.10335810053397283, -0.061188103287332804, -0.11120540924804398, 0.11584685905618924, 0.3878849731914908, 0.11607415035092837, 0.23455100490877004, -0.5252127530244745, -0.20687730150802114, 0.05464330158048423, 0.11044172130124731, 0.0040567050857695745, -0.15959592566256428, -0.2695852238946011, 0.04854868012251959, -0.24814504738810045, -0.13505848456243766, -0.06317358331376181, -0.005960845220921056, 0.02185284845839977, -0.19345888676487397, -0.0379890146856762, -0.05478125754700295, 0.0020820610573358627, -0.028377449401071137, -0.13372420589221973, 0.08185205992450502, 0.08956821543103624, -0.029316453062972734, 0.029604745241073527, 0.1811099604885181, -0.21975240768934381, -0.13189826409602276, 0.3166063194659269, -0.018052888968872412, -0.10651992147823221, 0.2715172942632061, -0.19850133581382928, -0.1272479507323598, 0.1500495146594454, 0.22105473253841154, 0.06488025507010589, -0.20298387951905203, 0.06912636689114968, 0.07348942503367907, 0.15548727913785762, 0.0777424426518694, 0.1205918193940578, 0.3512142400527112, 0.2937604677493501, 0.04979620371431397, 0.055556923471974363, -0.21504598120733373, -0.002175240525018389, -0.2710877106281293, -0.20804119462617368, -0.09881846364435226, -0.001899328154607493, 0.016035290799162428, -0.13971468135845092, 0.40538759326788587, 0.17645433461554696, 0.09380289289238646, -0.10525380804912822, 0.364723667885377, 0.016380554158131756, 0.12232608587489785, -0.02584846570617824, 0.28038406229325546, 0.17152306118927826, 0.18187224192960433, -0.15097656658911537, 0.0017111613197582905, 0.014641997421804432]
706.3517
Phase structure of matrix quantum mechanics at finite temperature
We study matrix quantum mechanics at finite temperature by Monte Carlo simulation. The model is obtained by dimensionally reducing 10d U(N) pure Yang-Mills theory to 1d. Following Aharony et al., one can view the same model as describing the high temperature regime of (1+1)d U(N) super Yang-Mills theory on a circle. In this interpretation an analog of the deconfinement transition was conjectured to be a continuation of the black-hole/black-string transition in the dual gravity theory. Our detailed analysis in the critical regime up to N=32 suggests the existence of the non-uniform phase, in which the eigenvalue distribution of the holonomy matrix is non-uniform but gapless. The transition to the gapped phase is of second order. The internal energy is constant (giving the ground state energy) in the uniform phase, and rises quadratically in the non-uniform phase, which implies that the transition between these two phases is of third order.
hep-th hep-lat
we study matrix quantum mechanics at finite temperature by monte carlo simulation the model is obtained by dimensionally reducing 10d un pure yangmills theory to 1d following aharony et al one can view the same model as describing the high temperature regime of 11d un super yangmills theory on a circle in this interpretation an analog of the deconfinement transition was conjectured to be a continuation of the blackholeblackstring transition in the dual gravity theory our detailed analysis in the critical regime up to n32 suggests the existence of the nonuniform phase in which the eigenvalue distribution of the holonomy matrix is nonuniform but gapless the transition to the gapped phase is of second order the internal energy is constant giving the ground state energy in the uniform phase and rises quadratically in the nonuniform phase which implies that the transition between these two phases is of third order
[['we', 'study', 'matrix', 'quantum', 'mechanics', 'at', 'finite', 'temperature', 'by', 'monte', 'carlo', 'simulation', 'the', 'model', 'is', 'obtained', 'by', 'dimensionally', 'reducing', '10d', 'un', 'pure', 'yangmills', 'theory', 'to', '1d', 'following', 'aharony', 'et', 'al', 'one', 'can', 'view', 'the', 'same', 'model', 'as', 'describing', 'the', 'high', 'temperature', 'regime', 'of', '11d', 'un', 'super', 'yangmills', 'theory', 'on', 'a', 'circle', 'in', 'this', 'interpretation', 'an', 'analog', 'of', 'the', 'deconfinement', 'transition', 'was', 'conjectured', 'to', 'be', 'a', 'continuation', 'of', 'the', 'blackholeblackstring', 'transition', 'in', 'the', 'dual', 'gravity', 'theory', 'our', 'detailed', 'analysis', 'in', 'the', 'critical', 'regime', 'up', 'to', 'n32', 'suggests', 'the', 'existence', 'of', 'the', 'nonuniform', 'phase', 'in', 'which', 'the', 'eigenvalue', 'distribution', 'of', 'the', 'holonomy', 'matrix', 'is', 'nonuniform', 'but', 'gapless', 'the', 'transition', 'to', 'the', 'gapped', 'phase', 'is', 'of', 'second', 'order', 'the', 'internal', 'energy', 'is', 'constant', 'giving', 'the', 'ground', 'state', 'energy', 'in', 'the', 'uniform', 'phase', 'and', 'rises', 'quadratically', 'in', 'the', 'nonuniform', 'phase', 'which', 'implies', 'that', 'the', 'transition', 'between', 'these', 'two', 'phases', 'is', 'of', 'third', 'order']]
[-0.13890436217912497, 0.2210104860314459, -0.1029130527560876, 0.030577923533053615, -0.01839111651595984, -0.09121369315638535, 0.04284763813720437, 0.2905608173522696, -0.21580013104185863, -0.3030856730985908, 0.09036503841540448, -0.2904331458203897, -0.15592068803144266, 0.08328242177407988, -0.026671551067281415, 0.0551472629536088, -0.04099771644404108, 0.03898145473323058, -0.14447654770039073, -0.21824224641848658, 0.28426969690858767, 0.0634334168823222, 0.3131703809973457, 0.04558106408630674, 0.05678168276475894, -0.0079987476055976, 0.04501331031851068, 0.003500074988256234, -0.13322080704376668, 0.03812558703577599, 0.23164139584185103, 0.029282099494987446, 0.18163340668370193, -0.4188704621676054, -0.24900078924523816, 0.08716535431842597, 0.1373482602963073, 0.1370207700749381, -0.017210671109480883, -0.27352106321691155, 0.042429712833836675, -0.15761702093319352, -0.17767706978436862, -0.04917333515146999, -0.016087783802602743, -0.06841276410016911, -0.24824654063008525, 0.1015287241741159, 0.04846827882952434, 0.02655898251730439, -0.039220449673578246, -0.07000836860419982, -0.06379248723985527, 0.095243699666163, 0.024212112422164127, 0.09986822492902393, 0.07185299248698898, -0.1343184858576294, -0.0889560258538286, 0.3545772593367744, -0.07690564782918759, -0.13215861449999786, 0.16883084629158918, -0.18060048750605248, -0.14131938852999057, 0.16600529196816874, 0.10226823562265348, 0.12698286752896132, -0.06927381254531242, 0.1571484405348373, -0.025220859956273156, 0.16447010636958923, 0.03161346531045195, -0.020308667400574965, 0.21362031700177672, 0.15045461398423524, 0.05172778926380734, 0.16405817095388509, -0.03665706356853637, -0.1913017315048303, -0.3362349811941385, -0.17222166531782196, -0.2062995303154772, 0.05891886622113226, -0.12829174077430522, -0.19265818167981263, 0.37791521954224316, 0.1309477575367153, 0.1664654478254552, 0.023786092052752204, 0.22833196114043933, 0.17025219805450556, -0.012139940428283267, 0.045592226596970764, 0.2655878295285023, 0.19867864390835166, 0.10028798354795908, -0.275455975368803, -0.03195601467175309, 0.17674960425387867]
706.3518
Towards lattice simulation of the gauge theory duals to black holes and hot strings
A generalization of the AdS/CFT conjecture postulates a duality between IIA string theory and 16 supercharge Yang-Mills quantum mechanics in the large N 't Hooft limit. At low temperatures string theory describes black holes, whose thermodynamics may hence be studied using the dual quantum mechanics. This quantum mechanics is strongly coupled which motivates the use of lattice techniques. We argue that, contrary to expectation, the theory when discretized naively will nevertheless recover continuum supersymmetry as the lattice spacing is sent to zero. We test these ideas by studying the 4 supercharge version of this Yang-Mills quantum mechanics in the 't Hooft limit. We use both a naive lattice action and a manifestly supersymmetric action. Using Monte Carlo methods we simulate the Euclidean theories, and study the lattice continuum limit, for both thermal and non-thermal periodic boundary conditions, confirming continuum supersymmetry is recovered for the naive action when appropriate. We obtain results for the thermal system with N up to 12. These favor the existence of a single deconfined phase for all non-zero temperatures. These results are an encouraging indication that the 16 supercharge theory is within reach using similar methods and resources.
hep-lat gr-qc hep-th
a generalization of the adscft conjecture postulates a duality between iia string theory and 16 supercharge yangmills quantum mechanics in the large n t hooft limit at low temperatures string theory describes black holes whose thermodynamics may hence be studied using the dual quantum mechanics this quantum mechanics is strongly coupled which motivates the use of lattice techniques we argue that contrary to expectation the theory when discretized naively will nevertheless recover continuum supersymmetry as the lattice spacing is sent to zero we test these ideas by studying the 4 supercharge version of this yangmills quantum mechanics in the t hooft limit we use both a naive lattice action and a manifestly supersymmetric action using monte carlo methods we simulate the euclidean theories and study the lattice continuum limit for both thermal and nonthermal periodic boundary conditions confirming continuum supersymmetry is recovered for the naive action when appropriate we obtain results for the thermal system with n up to 12 these favor the existence of a single deconfined phase for all nonzero temperatures these results are an encouraging indication that the 16 supercharge theory is within reach using similar methods and resources
[['a', 'generalization', 'of', 'the', 'adscft', 'conjecture', 'postulates', 'a', 'duality', 'between', 'iia', 'string', 'theory', 'and', '16', 'supercharge', 'yangmills', 'quantum', 'mechanics', 'in', 'the', 'large', 'n', 't', 'hooft', 'limit', 'at', 'low', 'temperatures', 'string', 'theory', 'describes', 'black', 'holes', 'whose', 'thermodynamics', 'may', 'hence', 'be', 'studied', 'using', 'the', 'dual', 'quantum', 'mechanics', 'this', 'quantum', 'mechanics', 'is', 'strongly', 'coupled', 'which', 'motivates', 'the', 'use', 'of', 'lattice', 'techniques', 'we', 'argue', 'that', 'contrary', 'to', 'expectation', 'the', 'theory', 'when', 'discretized', 'naively', 'will', 'nevertheless', 'recover', 'continuum', 'supersymmetry', 'as', 'the', 'lattice', 'spacing', 'is', 'sent', 'to', 'zero', 'we', 'test', 'these', 'ideas', 'by', 'studying', 'the', '4', 'supercharge', 'version', 'of', 'this', 'yangmills', 'quantum', 'mechanics', 'in', 'the', 't', 'hooft', 'limit', 'we', 'use', 'both', 'a', 'naive', 'lattice', 'action', 'and', 'a', 'manifestly', 'supersymmetric', 'action', 'using', 'monte', 'carlo', 'methods', 'we', 'simulate', 'the', 'euclidean', 'theories', 'and', 'study', 'the', 'lattice', 'continuum', 'limit', 'for', 'both', 'thermal', 'and', 'nonthermal', 'periodic', 'boundary', 'conditions', 'confirming', 'continuum', 'supersymmetry', 'is', 'recovered', 'for', 'the', 'naive', 'action', 'when', 'appropriate', 'we', 'obtain', 'results', 'for', 'the', 'thermal', 'system', 'with', 'n', 'up', 'to', '12', 'these', 'favor', 'the', 'existence', 'of', 'a', 'single', 'deconfined', 'phase', 'for', 'all', 'nonzero', 'temperatures', 'these', 'results', 'are', 'an', 'encouraging', 'indication', 'that', 'the', '16', 'supercharge', 'theory', 'is', 'within', 'reach', 'using', 'similar', 'methods', 'and', 'resources']]
[-0.08879286363177623, 0.2085371357686654, -0.10142092659225455, 0.10029995627822548, -0.023711362836669043, -0.17707799807976699, 0.05810465562960113, 0.3232622324867407, -0.20134515406061837, -0.26134355196457665, 0.09559078154537322, -0.2825883664469681, -0.12964173291038605, 0.11631931434506744, -0.05038285189827244, 0.05633553909471326, 0.051863040333652556, 0.04570402169156296, -0.11512484484167847, -0.2646165988359523, 0.26314253427335643, 0.03250994099168262, 0.2781902774725798, 0.06795316699814673, 0.08738913384877378, 0.016851790805958444, 0.021309664400178008, 0.03554480722959852, -0.12137526297290908, 0.09070222397713223, 0.22935523997512064, 0.04503313769237138, 0.17731844976030212, -0.44311078981263563, -0.23385666645117453, 0.08336170141410548, 0.12844229235088278, 0.1658744440640779, 0.03348966025061865, -0.24514206706589903, 0.08512226832196272, -0.1624008459233058, -0.1908911751282479, -0.0940174988572835, -0.0162687327817063, -0.10799689790413443, -0.24201413304035668, 0.07069739434215687, 0.02422051222705098, 0.057042852102692145, -0.033747330834254775, -0.08310205522927087, -0.016161126653363073, 0.08693385437224303, 0.05551539414773288, 0.06261023891753818, 0.13172039478862038, -0.15101207290839133, -0.17908926208353174, 0.38426726175142295, -0.07501944362472084, -0.19109090075896043, 0.19216934176074574, -0.14725607628982593, -0.1938685347874222, 0.10358545364094122, 0.06643660049788498, 0.14860027411729484, -0.12889202591835178, 0.1768596156748572, -0.058274051358239376, 0.15733826630579037, 0.07328051005727805, 0.0439184919038477, 0.27219104138202965, 0.11381467646666958, 0.01146578048549903, 0.1354503589724724, -0.028153940282209078, -0.18645189572271192, -0.3947519049421923, -0.12486296496960374, -0.18386259003151886, 0.13750827022522571, -0.1393446279419095, -0.16128952919583148, 0.27038324776246253, 0.17700530530964897, 0.14863686196379908, 0.09507920355038853, 0.20737996472153478, 0.143587012543018, 0.04770297844819046, 0.07151328628848812, 0.23930301023513798, 0.18526971606964557, 0.10243509372958215, -0.25928984679436934, -0.13376274926789242, 0.1772069431268998]
706.3519
Triggering Mechanism for the Filament Eruption on 2005 September 13 in Active Region NOAA 10808
On 2005 September 13 a filament eruption accompanied by a halo CME occurred in the most flare-productive active region NOAA 10808 in Solar Cycle 23. Using multi-wavelength observations before the filament eruption on Sep. 13th, we investigate the processes leading to the catastrophic eruption. We find that the filament slowly ascended at a speed of 0.1km/s over two days before the eruption. During slow ascending, many small flares were observed close to the footpoints of the filament, where new magnetic elements were emerging. On the basis of the observational facts we discuss the triggering mechanism leading to the filament eruption. We suggest the process toward the eruption as follows: First, a series of small flares played a role in changing the topology of the loops overlying the filament. Second, the small flares gradually changed the equilibrium state of the filament and caused the filament to ascend slowly over two days. Finally, a C2.9 flare that occurred when the filament was close to the critical point for loss of equilibrium directly led to the catastrophic filament eruption right after itself.
astro-ph
on 2005 september 13 a filament eruption accompanied by a halo cme occurred in the most flareproductive active region noaa 10808 in solar cycle 23 using multiwavelength observations before the filament eruption on sep 13th we investigate the processes leading to the catastrophic eruption we find that the filament slowly ascended at a speed of 01kms over two days before the eruption during slow ascending many small flares were observed close to the footpoints of the filament where new magnetic elements were emerging on the basis of the observational facts we discuss the triggering mechanism leading to the filament eruption we suggest the process toward the eruption as follows first a series of small flares played a role in changing the topology of the loops overlying the filament second the small flares gradually changed the equilibrium state of the filament and caused the filament to ascend slowly over two days finally a c29 flare that occurred when the filament was close to the critical point for loss of equilibrium directly led to the catastrophic filament eruption right after itself
[['on', '2005', 'september', '13', 'a', 'filament', 'eruption', 'accompanied', 'by', 'a', 'halo', 'cme', 'occurred', 'in', 'the', 'most', 'flareproductive', 'active', 'region', 'noaa', '10808', 'in', 'solar', 'cycle', '23', 'using', 'multiwavelength', 'observations', 'before', 'the', 'filament', 'eruption', 'on', 'sep', '13th', 'we', 'investigate', 'the', 'processes', 'leading', 'to', 'the', 'catastrophic', 'eruption', 'we', 'find', 'that', 'the', 'filament', 'slowly', 'ascended', 'at', 'a', 'speed', 'of', '01kms', 'over', 'two', 'days', 'before', 'the', 'eruption', 'during', 'slow', 'ascending', 'many', 'small', 'flares', 'were', 'observed', 'close', 'to', 'the', 'footpoints', 'of', 'the', 'filament', 'where', 'new', 'magnetic', 'elements', 'were', 'emerging', 'on', 'the', 'basis', 'of', 'the', 'observational', 'facts', 'we', 'discuss', 'the', 'triggering', 'mechanism', 'leading', 'to', 'the', 'filament', 'eruption', 'we', 'suggest', 'the', 'process', 'toward', 'the', 'eruption', 'as', 'follows', 'first', 'a', 'series', 'of', 'small', 'flares', 'played', 'a', 'role', 'in', 'changing', 'the', 'topology', 'of', 'the', 'loops', 'overlying', 'the', 'filament', 'second', 'the', 'small', 'flares', 'gradually', 'changed', 'the', 'equilibrium', 'state', 'of', 'the', 'filament', 'and', 'caused', 'the', 'filament', 'to', 'ascend', 'slowly', 'over', 'two', 'days', 'finally', 'a', 'c29', 'flare', 'that', 'occurred', 'when', 'the', 'filament', 'was', 'close', 'to', 'the', 'critical', 'point', 'for', 'loss', 'of', 'equilibrium', 'directly', 'led', 'to', 'the', 'catastrophic', 'filament', 'eruption', 'right', 'after', 'itself']]
[-0.13770906204682137, 0.2095893930403118, -0.018874326451378088, 0.08686042802702523, -0.08385344767178682, -0.0354385588441065, 0.08507264944465748, 0.4274637809159297, -0.20943320131784807, -0.3234981720419496, 0.11908748675872875, -0.24366506759935383, -0.13494357167418752, 0.17474366147417753, -0.051048451451371483, -0.006169318311110014, 0.1376925498362254, 0.00723577572655435, -0.02398126085126626, -0.24581044915477546, 0.24987718423702912, 0.109945316798985, 0.1847174540322321, -0.020468369355226418, 0.10778283906362825, -0.10841620331525467, -0.03040739997509825, -0.06952495569509737, -0.12372983816602029, -0.012091180367206925, 0.10676566760573704, 0.08983729604312501, 0.30504078026651665, -0.48580512974746104, -0.21760136486303186, 0.005974425345638327, 0.1863486853917391, -0.019588012311063455, 0.02350399383275738, -0.2712843127239998, 0.04688205324169615, -0.15466332809444977, -0.1479199808849587, 0.1302813394596863, 0.08701823719285345, -0.008149646055816641, -0.24272383808935313, 0.09738545042588219, 0.043221610377207814, 0.09484370852450401, -0.10462756240034078, -0.01992378398655715, -0.07827334994910641, 0.13993229644240293, 0.15829648193886917, 0.10184440769391197, 0.23308046609215605, -0.12208986661679457, -0.07024127897921573, 0.3007976570613996, -0.008052692682223311, 0.08914626537288507, 0.14912228584498838, -0.22421606162071145, -0.18338610433837335, 0.23862466718896888, 0.1443759565283492, 0.04327361746835051, -0.08940398722556432, -0.08531523173383249, -0.009045162655771552, 0.10609844192850085, 0.08345573044021018, -0.08322422421966376, 0.28419897612445894, 0.13280618068333086, 0.04200812165195049, 0.1813785745605324, -0.23310682630255358, -0.13267099176235286, -0.30421240183032966, -0.11798079133496797, -0.07680152444786319, 0.062031343899843196, -0.05913971598007326, -0.20147938826356837, 0.43285060354529387, 0.11648037734675598, 0.2941301816164024, -0.07651012833884216, 0.20695883376795923, 0.06221091508632526, 0.08429782185441909, 0.15784423192047378, 0.34411934765547597, 0.17905982894943295, 0.24374653989307876, -0.20179060792430759, 0.10463583775209996, 0.10672083667353884]
706.352
On probabilities for separating sets of order statistics
Consider a set of order statistics that arise from sorting samples from two different populations, each with their own, possibly different distribution function. The probability that these order statistics fall in disjoint, ordered intervals, and that of the smallest statistics, a certain number come from the first populations, are given in terms of the two distribution functions. The result is applied to computing the joint probability of the number of rejections and the number of false rejections for the Benjamini-Hochberg false discovery rate procedure.
stat.CO math.PR math.ST stat.TH
consider a set of order statistics that arise from sorting samples from two different populations each with their own possibly different distribution function the probability that these order statistics fall in disjoint ordered intervals and that of the smallest statistics a certain number come from the first populations are given in terms of the two distribution functions the result is applied to computing the joint probability of the number of rejections and the number of false rejections for the benjaminihochberg false discovery rate procedure
[['consider', 'a', 'set', 'of', 'order', 'statistics', 'that', 'arise', 'from', 'sorting', 'samples', 'from', 'two', 'different', 'populations', 'each', 'with', 'their', 'own', 'possibly', 'different', 'distribution', 'function', 'the', 'probability', 'that', 'these', 'order', 'statistics', 'fall', 'in', 'disjoint', 'ordered', 'intervals', 'and', 'that', 'of', 'the', 'smallest', 'statistics', 'a', 'certain', 'number', 'come', 'from', 'the', 'first', 'populations', 'are', 'given', 'in', 'terms', 'of', 'the', 'two', 'distribution', 'functions', 'the', 'result', 'is', 'applied', 'to', 'computing', 'the', 'joint', 'probability', 'of', 'the', 'number', 'of', 'rejections', 'and', 'the', 'number', 'of', 'false', 'rejections', 'for', 'the', 'benjaminihochberg', 'false', 'discovery', 'rate', 'procedure']]
[-0.13168876316575778, 0.1410924225956911, -0.07350585365756637, 0.07391922870634257, -0.01192230834913928, -0.0846777602786287, 0.11150956708782662, 0.300088076852262, -0.27550076512575505, -0.35924802075273227, 0.08505841096519448, -0.2822453584522009, -0.0965227800687509, 0.18389832804955186, -0.07363316030906779, 0.06576883417022016, 0.052846535408337204, 0.05949069524095172, -0.009378914025590001, -0.32611361095249386, 0.3386040977091484, -0.013251526613852807, 0.3057178830217925, -0.06764985075486558, 0.07346751605204883, 0.02042895833784271, -0.0510624207256894, 0.04912078527351176, -0.07819661480183034, 0.11488663230002635, 0.2243781841271335, 0.21698872704014538, 0.3315902236139491, -0.37195831122586415, -0.14691401744909985, 0.1789686088505689, 0.11423723166254127, 0.10372811155615463, -0.044951380108527485, -0.24663519477915197, 0.10143132259725549, -0.1815223192929157, -0.08034593494985962, 0.014348703893899386, 0.00908153832867919, 0.11091480458465715, -0.2864739557151638, 0.09365747138370006, 0.029211474626901605, 0.017026605220356334, -0.03448765140048982, -0.17782959009387664, -0.0005587882645029042, 0.18393179449984537, 0.10633147001360721, -0.018144350792724816, 0.10233628396720935, -0.1298027068620459, -0.1273050940639916, 0.3040770953299389, 0.004364179389085621, -0.19903815961221144, 0.21045997474824876, -0.2030038296404763, -0.13988816728150205, 0.1764915836697799, 0.17155790184707648, 0.11977120755251408, -0.13221622151987894, 0.029952364728420174, -0.01753891674092128, 0.11351338129801054, 0.09658413773424745, 0.051545006453081785, 0.23976374386499325, 0.05693488685037231, 0.06862378597725183, 0.13931885123851576, -0.1222441381985499, -0.0825486404521923, -0.33792505171593457, -0.13412486511238275, -0.23362974168377973, 0.01903230862669824, -0.11643938576612743, -0.1925270208157599, 0.4018878466227934, 0.1506665446476767, 0.2594563554573272, 0.14348058376344852, 0.2550807733620916, 0.12118539505605613, 0.027108965278048777, 0.03878941685183063, 0.13711942970708368, 0.08786932244072973, -0.030307781938019963, -0.17240794387457536, 0.11636086783948399, 0.041241219910305174]
706.3521
Towards the Typology of Elections at Russia
A distinction in reasons and motives for choosing a particular political leader establishes the key difference between older and young democracy. The former is based on electoral history, while the latter is based on feelings and personal attitude. Besides, a comparatively abundant number of political figures (persons or parties and associations) is specific for young democracies. The problem of a reference votes' distribution is analyzed. Lefevbre's theory of a reflexive control is supposed to make the basis for indifferent choice of political figures. This theory yields a golden section split of votes (or the series of Fibonacci numbers, for the case of multiple choice). A typology of political campaigns based on this theory is proposed. A proximity of ratings of competing persons means the highest electoral tension, a leadership of a person means a high level of mobilization; a neutral situation corresponds to Fibonacci numbers distribution of votes.
physics.soc-ph
a distinction in reasons and motives for choosing a particular political leader establishes the key difference between older and young democracy the former is based on electoral history while the latter is based on feelings and personal attitude besides a comparatively abundant number of political figures persons or parties and associations is specific for young democracies the problem of a reference votes distribution is analyzed lefevbres theory of a reflexive control is supposed to make the basis for indifferent choice of political figures this theory yields a golden section split of votes or the series of fibonacci numbers for the case of multiple choice a typology of political campaigns based on this theory is proposed a proximity of ratings of competing persons means the highest electoral tension a leadership of a person means a high level of mobilization a neutral situation corresponds to fibonacci numbers distribution of votes
[['a', 'distinction', 'in', 'reasons', 'and', 'motives', 'for', 'choosing', 'a', 'particular', 'political', 'leader', 'establishes', 'the', 'key', 'difference', 'between', 'older', 'and', 'young', 'democracy', 'the', 'former', 'is', 'based', 'on', 'electoral', 'history', 'while', 'the', 'latter', 'is', 'based', 'on', 'feelings', 'and', 'personal', 'attitude', 'besides', 'a', 'comparatively', 'abundant', 'number', 'of', 'political', 'figures', 'persons', 'or', 'parties', 'and', 'associations', 'is', 'specific', 'for', 'young', 'democracies', 'the', 'problem', 'of', 'a', 'reference', 'votes', 'distribution', 'is', 'analyzed', 'lefevbres', 'theory', 'of', 'a', 'reflexive', 'control', 'is', 'supposed', 'to', 'make', 'the', 'basis', 'for', 'indifferent', 'choice', 'of', 'political', 'figures', 'this', 'theory', 'yields', 'a', 'golden', 'section', 'split', 'of', 'votes', 'or', 'the', 'series', 'of', 'fibonacci', 'numbers', 'for', 'the', 'case', 'of', 'multiple', 'choice', 'a', 'typology', 'of', 'political', 'campaigns', 'based', 'on', 'this', 'theory', 'is', 'proposed', 'a', 'proximity', 'of', 'ratings', 'of', 'competing', 'persons', 'means', 'the', 'highest', 'electoral', 'tension', 'a', 'leadership', 'of', 'a', 'person', 'means', 'a', 'high', 'level', 'of', 'mobilization', 'a', 'neutral', 'situation', 'corresponds', 'to', 'fibonacci', 'numbers', 'distribution', 'of', 'votes']]
[-0.14909893322338472, 0.10013753083870322, -0.1142637720648326, 0.09696197171131668, -0.1498518518780415, -0.15679915580062234, 0.14528004736813785, 0.32645268498786856, -0.20480229571892494, -0.31074023747905377, 0.04922208425566731, -0.3133120066486299, -0.13411003191873025, 0.1506576344064361, -0.14027493022584997, -0.02364285857746137, 0.035614048732685394, 0.08734242908567899, 0.02543653026983446, -0.3027975702465062, 0.32361467868734317, 0.034214780748295946, 0.2953370152560829, 0.01574424145581695, 0.09914873015819764, 0.02288374279112536, -0.0602350249830285, 0.009319999977490124, -0.0758519158112582, 0.16246767791754688, 0.28411901760592956, 0.16681975613785338, 0.3932379815176281, -0.3428658910323771, -0.10069190926032559, 0.09969292285212246, 0.07576810191607192, 0.0589831682178667, -0.03053241656050973, -0.3047044874734378, 0.025694867014745566, -0.22698937781585926, -0.11519072408832255, -0.018643821272872337, 0.06448892635755799, 0.04027976897239469, -0.27021541595446114, 0.0847430725258832, -0.0045020747193306385, 0.16622159890054414, -0.04126624309388148, -0.11853340758029751, -0.009343145554568492, 0.19322609896676576, 0.08854232402716376, -0.026412223087786856, 0.13790085727386936, -0.18341379873391214, -0.15158021761117135, 0.4400909275329691, 0.026923202008300392, -0.2032496003421391, 0.14274967622588433, -0.12733151099714293, -0.13900516279909733, 0.03797134676580729, 0.14142642595938273, 0.10093308272832913, -0.1109301385209978, -0.01343296291655069, -0.09522310478951732, 0.2070322582065793, 0.10862207593282266, -0.017633409201338584, 0.24882688942099257, 0.1700660705956041, 0.07168894073114965, 0.09493788572813884, -0.02712052166430267, -0.14251885053758717, -0.24919749554729748, -0.17505881609711924, -0.1580538527349479, 0.06216947695313237, -0.09014204139092645, -0.16747960809706933, 0.3948811796259414, 0.0847291438096895, 0.15473639058275068, 0.03923503409589634, 0.2707035995443307, 0.02160129950818967, 0.015487627818432896, 0.004542808994400588, 0.17365893483047887, 0.08606983832127992, 0.10767214392235845, -0.13387646730102243, 0.17431630166944395, 0.044076415135993995]
706.3522
A dynamical law for slow crack growth in polycarbonate films
We study experimentally the slow growth of a single crack in polycarbonate films submitted to uniaxial and constant imposed stress. For this visco-plastic material, we uncover a dynamical law that describes the dependence of the instantaneous crack velocity with experimental parameters. The law involves a Dugdale-Barenblatt static description of crack tip plastic zones associated to an Eyring's law and an empirical dependence with the crack length that may come from a residual elastic field.
physics.class-ph
we study experimentally the slow growth of a single crack in polycarbonate films submitted to uniaxial and constant imposed stress for this viscoplastic material we uncover a dynamical law that describes the dependence of the instantaneous crack velocity with experimental parameters the law involves a dugdalebarenblatt static description of crack tip plastic zones associated to an eyrings law and an empirical dependence with the crack length that may come from a residual elastic field
[['we', 'study', 'experimentally', 'the', 'slow', 'growth', 'of', 'a', 'single', 'crack', 'in', 'polycarbonate', 'films', 'submitted', 'to', 'uniaxial', 'and', 'constant', 'imposed', 'stress', 'for', 'this', 'viscoplastic', 'material', 'we', 'uncover', 'a', 'dynamical', 'law', 'that', 'describes', 'the', 'dependence', 'of', 'the', 'instantaneous', 'crack', 'velocity', 'with', 'experimental', 'parameters', 'the', 'law', 'involves', 'a', 'dugdalebarenblatt', 'static', 'description', 'of', 'crack', 'tip', 'plastic', 'zones', 'associated', 'to', 'an', 'eyrings', 'law', 'and', 'an', 'empirical', 'dependence', 'with', 'the', 'crack', 'length', 'that', 'may', 'come', 'from', 'a', 'residual', 'elastic', 'field']]
[-0.16695339671285772, 0.1690315226807945, -0.15048631955240224, -0.052028121258371286, -0.10820025081645597, -0.11385327619909485, 0.02677745107133445, 0.3686185330089584, -0.32092775395014195, -0.23242779541760683, 0.03135919575170438, -0.2616370419493398, -0.1534981185104698, 0.1730475768295897, -0.03534181217184743, 0.0915722526622483, -0.004271479112700232, -0.02630404393012459, -0.03970591411799998, -0.15366990881896503, 0.25844833655031146, 0.07207749333434008, 0.3673897481749992, 0.06204524809318419, 0.10503527657380579, 0.01940999670281402, 0.03601592455713733, 0.08273997246539472, -0.25015008722127546, 0.06069387555927844, 0.1721186435567467, -0.038723169247040876, 0.22716264465723085, -0.49660599266959204, -0.20761624620472258, 0.014105404399939486, 0.09216643998877623, 0.13662320269724806, -0.030702555319294333, -0.20413837342749577, 0.05908181640395039, -0.13204096933524753, -0.2023749250912334, -0.009566001996800706, 0.050256292846972576, 0.05113534540066974, -0.25173657188015813, 0.16844960414124904, 0.06243048678584888, 0.12502711012839918, -0.1317019239571449, -0.01528707516656534, -0.004557225994790929, 0.0754000761646878, 0.14568448633056236, 0.006096828895671344, 0.23904924432596042, -0.145549662420652, -0.023168209839511563, 0.3823164228752658, -0.03456882316449254, -0.11924753799984181, 0.15467644538856237, -0.12310561097252208, -0.04556463217060711, 0.17171713021093024, 0.1890311821779186, 0.03245524922454639, -0.17930016075135083, 0.01587146788527182, 0.015064481071611817, 0.2063482397840031, 0.0800565888765394, -0.09243841090466122, 0.17978512362350482, 0.20730600076903766, -0.006062880271693339, 0.17860009986907244, -0.10632986389179211, -0.06038969042836814, -0.34980218897800186, -0.15704213866076708, -0.16194258119306854, 0.07721242385387823, -0.17561731405038625, -0.25237714008402984, 0.34142455766984336, 0.06449098882070314, 0.20025128002807097, 0.06380912398516729, 0.21724591983129848, 0.07145024956883611, 0.0705590303011893, 0.04621709680587456, 0.2897370188824228, 0.13356625839239583, 0.12867888878728892, -0.2703984871025298, 0.13244359608664102, 0.02493148051655373]
706.3523
There Exist some Omega-Powers of Any Borel Rank
Omega-powers of finitary languages are languages of infinite words (omega-languages) in the form V^omega, where V is a finitary language over a finite alphabet X. They appear very naturally in the characterizaton of regular or context-free omega-languages. Since the set of infinite words over a finite alphabet X can be equipped with the usual Cantor topology, the question of the topological complexity of omega-powers of finitary languages naturally arises and has been posed by Niwinski (1990), Simonnet (1992) and Staiger (1997). It has been recently proved that for each integer n > 0, there exist some omega-powers of context free languages which are Pi^0_n-complete Borel sets, that there exists a context free language L such that L^omega is analytic but not Borel, and that there exists a finitary language V such that V^omega is a Borel set of infinite rank. But it was still unknown which could be the possible infinite Borel ranks of omega-powers. We fill this gap here, proving the following very surprising result which shows that omega-powers exhibit a great topological complexity: for each non-null countable ordinal alpha, there exist some Sigma^0_alpha-complete omega-powers, and some Pi^0_alpha-complete omega-powers.
cs.LO cs.CC math.LO
omegapowers of finitary languages are languages of infinite words omegalanguages in the form vomega where v is a finitary language over a finite alphabet x they appear very naturally in the characterizaton of regular or contextfree omegalanguages since the set of infinite words over a finite alphabet x can be equipped with the usual cantor topology the question of the topological complexity of omegapowers of finitary languages naturally arises and has been posed by niwinski 1990 simonnet 1992 and staiger 1997 it has been recently proved that for each integer n 0 there exist some omegapowers of context free languages which are pi0_ncomplete borel sets that there exists a context free language l such that lomega is analytic but not borel and that there exists a finitary language v such that vomega is a borel set of infinite rank but it was still unknown which could be the possible infinite borel ranks of omegapowers we fill this gap here proving the following very surprising result which shows that omegapowers exhibit a great topological complexity for each nonnull countable ordinal alpha there exist some sigma0_alphacomplete omegapowers and some pi0_alphacomplete omegapowers
[['omegapowers', 'of', 'finitary', 'languages', 'are', 'languages', 'of', 'infinite', 'words', 'omegalanguages', 'in', 'the', 'form', 'vomega', 'where', 'v', 'is', 'a', 'finitary', 'language', 'over', 'a', 'finite', 'alphabet', 'x', 'they', 'appear', 'very', 'naturally', 'in', 'the', 'characterizaton', 'of', 'regular', 'or', 'contextfree', 'omegalanguages', 'since', 'the', 'set', 'of', 'infinite', 'words', 'over', 'a', 'finite', 'alphabet', 'x', 'can', 'be', 'equipped', 'with', 'the', 'usual', 'cantor', 'topology', 'the', 'question', 'of', 'the', 'topological', 'complexity', 'of', 'omegapowers', 'of', 'finitary', 'languages', 'naturally', 'arises', 'and', 'has', 'been', 'posed', 'by', 'niwinski', '1990', 'simonnet', '1992', 'and', 'staiger', '1997', 'it', 'has', 'been', 'recently', 'proved', 'that', 'for', 'each', 'integer', 'n', '0', 'there', 'exist', 'some', 'omegapowers', 'of', 'context', 'free', 'languages', 'which', 'are', 'pi0_ncomplete', 'borel', 'sets', 'that', 'there', 'exists', 'a', 'context', 'free', 'language', 'l', 'such', 'that', 'lomega', 'is', 'analytic', 'but', 'not', 'borel', 'and', 'that', 'there', 'exists', 'a', 'finitary', 'language', 'v', 'such', 'that', 'vomega', 'is', 'a', 'borel', 'set', 'of', 'infinite', 'rank', 'but', 'it', 'was', 'still', 'unknown', 'which', 'could', 'be', 'the', 'possible', 'infinite', 'borel', 'ranks', 'of', 'omegapowers', 'we', 'fill', 'this', 'gap', 'here', 'proving', 'the', 'following', 'very', 'surprising', 'result', 'which', 'shows', 'that', 'omegapowers', 'exhibit', 'a', 'great', 'topological', 'complexity', 'for', 'each', 'nonnull', 'countable', 'ordinal', 'alpha', 'there', 'exist', 'some', 'sigma0_alphacomplete', 'omegapowers', 'and', 'some', 'pi0_alphacomplete', 'omegapowers']]
[-0.16932909155543396, 0.15924798116588437, -0.0624211945566025, 0.13121472723049954, -0.13556944770130883, -0.18632329553913543, 0.09381456827535667, 0.3675305193245291, -0.3159863341021984, -0.1976715552789921, 0.0923372157500748, -0.2876719372461545, -0.1195748024178111, 0.17530470968437017, -0.1536426059777206, 0.022299605282272567, 0.04461347469798523, 0.11333486131506967, -0.037992252290614925, -0.27861093466523734, 0.3245229657520266, -0.10525791904077253, 0.20125049337953888, 0.041190798287304806, 0.12168107224556114, -0.06399677739538412, -0.005301717256649054, 0.08228253852077984, -0.12803122589361846, 0.05837371267837766, 0.4065897417239805, 0.2036840228879336, 0.3074449654867783, -0.31610888491738287, -0.17009403172477003, 0.18509896322437389, 0.10798439594672964, 0.012295674940416798, -0.029876415645155835, -0.2753033150624942, 0.13103673235578014, -0.21596850218988436, -0.04568160108893233, -0.050224848582165284, 0.17997809762526104, -0.008207245858729803, -0.21805312921713918, -0.02994193124739244, 0.21534770612609896, 0.1202115646692959, 0.006375411662327892, -0.1192277519550314, -0.0355308970699789, 0.08875801536145017, 0.04133859900931982, 0.09292966117310453, -0.011571567657498274, -0.03342563789032828, -0.17377614462997187, 0.3814596876721172, -0.030905211653142053, -0.22627622157056382, 0.22009824164321318, -0.1729001450267705, -0.20513027233076606, 0.1015477830439527, 0.03651641713539985, 0.06931907341228474, -0.05261207449145336, 0.2928803104883618, -0.19831775939141844, 0.1846372801362273, 0.20544661985919438, 0.04597703223540024, 0.16364551859753415, 0.11787959690178361, 0.03691110215622952, 0.10497659373465666, 0.09891946536655673, -0.03268039723102471, -0.2961190439820449, -0.13384862296173677, -0.1290264336621379, 0.09364569638888438, -0.06021778877136014, -0.2657602593541783, 0.31024605531325156, 0.09204218398660102, 0.12193552962439583, 0.1271913982448442, 0.16515927280568304, 0.0998061772096307, 0.04940741957367004, 0.10237485537913076, 0.060043005925014284, 0.11198354985211344, 0.002710095406285821, -0.10710492472968657, 0.09029598536379486, 0.11699210791624484]
706.3524
Relative velocities among accreting planetesimals in binary systems: the circumbinary case
We numerically investigate the possibility of planetesimal accretion in circumbinary disks, under the coupled influence of both stars' secular perturbations and friction due to the gaseous component of the protoplanetary disk. We focus on one crucial parameter: the distribution of encounter velocities between planetesimals in the 0.5 to 100km size range. An extended range of binary systems with differing orbital parameters is explored. The resulting encounter velocities are compared to the threshold velocities below which the net outcome of a collision is accumulation into a larger body instead of mass erosion. For each binary configuration, we derive the critical radial distance from the binary barycenter beyond which planetesimal accretion is possible. This critical radial distance is smallest for equal-mass binaries on almost circular orbits. It shifts to larger values for increasing eccentricities and decreasing mass ratio. The importance of the planetesimals' orbital alignments of planetesimals due to gas drag effects is discussed.
astro-ph
we numerically investigate the possibility of planetesimal accretion in circumbinary disks under the coupled influence of both stars secular perturbations and friction due to the gaseous component of the protoplanetary disk we focus on one crucial parameter the distribution of encounter velocities between planetesimals in the 05 to 100km size range an extended range of binary systems with differing orbital parameters is explored the resulting encounter velocities are compared to the threshold velocities below which the net outcome of a collision is accumulation into a larger body instead of mass erosion for each binary configuration we derive the critical radial distance from the binary barycenter beyond which planetesimal accretion is possible this critical radial distance is smallest for equalmass binaries on almost circular orbits it shifts to larger values for increasing eccentricities and decreasing mass ratio the importance of the planetesimals orbital alignments of planetesimals due to gas drag effects is discussed
[['we', 'numerically', 'investigate', 'the', 'possibility', 'of', 'planetesimal', 'accretion', 'in', 'circumbinary', 'disks', 'under', 'the', 'coupled', 'influence', 'of', 'both', 'stars', 'secular', 'perturbations', 'and', 'friction', 'due', 'to', 'the', 'gaseous', 'component', 'of', 'the', 'protoplanetary', 'disk', 'we', 'focus', 'on', 'one', 'crucial', 'parameter', 'the', 'distribution', 'of', 'encounter', 'velocities', 'between', 'planetesimals', 'in', 'the', '05', 'to', '100km', 'size', 'range', 'an', 'extended', 'range', 'of', 'binary', 'systems', 'with', 'differing', 'orbital', 'parameters', 'is', 'explored', 'the', 'resulting', 'encounter', 'velocities', 'are', 'compared', 'to', 'the', 'threshold', 'velocities', 'below', 'which', 'the', 'net', 'outcome', 'of', 'a', 'collision', 'is', 'accumulation', 'into', 'a', 'larger', 'body', 'instead', 'of', 'mass', 'erosion', 'for', 'each', 'binary', 'configuration', 'we', 'derive', 'the', 'critical', 'radial', 'distance', 'from', 'the', 'binary', 'barycenter', 'beyond', 'which', 'planetesimal', 'accretion', 'is', 'possible', 'this', 'critical', 'radial', 'distance', 'is', 'smallest', 'for', 'equalmass', 'binaries', 'on', 'almost', 'circular', 'orbits', 'it', 'shifts', 'to', 'larger', 'values', 'for', 'increasing', 'eccentricities', 'and', 'decreasing', 'mass', 'ratio', 'the', 'importance', 'of', 'the', 'planetesimals', 'orbital', 'alignments', 'of', 'planetesimals', 'due', 'to', 'gas', 'drag', 'effects', 'is', 'discussed']]
[-0.1693420111554779, 0.18565958406476343, -0.0497301017534674, 0.06484465411593096, -0.06090038750124605, -0.030726134587128303, 0.00680554803540489, 0.3397329154877776, -0.2474313245666532, -0.3053401834270182, 0.04603202807668008, -0.2611012958835712, -0.01997052118071894, 0.19058365762803556, -0.04332622870079879, 0.06849676370247355, 0.12114172304006245, -0.039269970462651384, -0.0713805337961132, -0.22851126925716495, 0.3597222854242366, 0.08546523841735172, 0.07666616286396195, -0.011298204389612166, 0.059428132503710096, -0.019957468973691567, 0.021291333014807224, -0.04026298305804008, -0.23149338972718014, 0.04055661357032429, 0.17257287730123944, 0.06982930024816214, 0.25565146679706996, -0.3595032085891274, -0.18888745319992795, 0.0704150426838743, 0.18085665541155704, 0.09848964737734366, -0.04215806354554125, -0.20942359447163703, 0.06381897501475912, -0.2504367341936909, -0.19905012830062524, 0.05370602591612719, 0.16481581076636517, 0.02379671952650441, -0.2748228889973497, 0.1298077347463205, 0.09291508134552523, 0.06485105769120549, -0.13425848851789182, -0.13608172655987896, -0.09454934210761597, 0.0850272401799693, 0.10005964408130814, 0.007442613083281015, 0.23204634738412047, -0.0852604711468111, -0.00300095620944998, 0.4330977144111928, -0.04919809223639803, -0.13743888843256222, 0.26262724367705614, -0.22717596502901105, -0.05392625568263037, 0.18183557788755647, 0.2634773368604089, 0.12512514060577623, -0.11487385160743495, -0.01282336373620446, 0.01431301965280191, 0.19228155685490683, 0.12538456966132416, 0.023946272538619508, 0.37674627264373395, 0.14800439607719645, 0.07024172326399773, 0.09990334489817829, -0.2025423226724869, -0.13860506508507042, -0.1758777540342539, -0.09678203938758663, -0.17214169953934433, 0.015311208529869634, -0.14782833993893674, -0.13023820092999622, 0.29881797452138636, 0.16508041596956136, 0.25770035724609014, 0.04384978509532582, 0.29546094168970166, 0.11104199974062412, 0.11337358004560597, 0.10469231022963006, 0.3347636916380572, 0.1603329477917501, 0.056266245092142765, -0.2976161870648962, 0.12733218992606885, 0.011598852154412797]
706.3525
Insights into the Evolution of Horizons from Non-Orthogonal Temporal Coordinates
The introduction of coordinates representing the points of view of various observers results in the possibility of horizons when acceleration and gravitation are included. A horizon is a surface of possible light beams in a region of space of finite distance from the observer, which means that since nothing travels faster than light, events on the far side of a horizon cannot influence those on the causal side. A black hole has such a horizon, where some radially outgoing light beams can never reach a distant (or even nearby) observer. However, since one suspects that black holes can swallow energy, and even evaporate by Hawking radiation, such horizons must take on a time dependency. A naive introduction of temporal dependency results in infinities (singularities) in energy densities, suggesting in such descriptions that an in-falling observer would encounter a hard surface at the horizon. However, if coordinates representing space-time as analogous to a "flowing river" are used to describe the dynamics of a black hole, no such singularities are encountered. Such a parameterization of time dependent horizons will be offered in this presentation. A Penrose space-time diagram (which represents the entire space-time on a finite diagram with light beams always moving at a 45 degree angle to vertical) describing the growth and evaporation of an example black hole, along with the resulting coordinate anomaly, will be constructed.
gr-qc
the introduction of coordinates representing the points of view of various observers results in the possibility of horizons when acceleration and gravitation are included a horizon is a surface of possible light beams in a region of space of finite distance from the observer which means that since nothing travels faster than light events on the far side of a horizon cannot influence those on the causal side a black hole has such a horizon where some radially outgoing light beams can never reach a distant or even nearby observer however since one suspects that black holes can swallow energy and even evaporate by hawking radiation such horizons must take on a time dependency a naive introduction of temporal dependency results in infinities singularities in energy densities suggesting in such descriptions that an infalling observer would encounter a hard surface at the horizon however if coordinates representing spacetime as analogous to a flowing river are used to describe the dynamics of a black hole no such singularities are encountered such a parameterization of time dependent horizons will be offered in this presentation a penrose spacetime diagram which represents the entire spacetime on a finite diagram with light beams always moving at a 45 degree angle to vertical describing the growth and evaporation of an example black hole along with the resulting coordinate anomaly will be constructed
[['the', 'introduction', 'of', 'coordinates', 'representing', 'the', 'points', 'of', 'view', 'of', 'various', 'observers', 'results', 'in', 'the', 'possibility', 'of', 'horizons', 'when', 'acceleration', 'and', 'gravitation', 'are', 'included', 'a', 'horizon', 'is', 'a', 'surface', 'of', 'possible', 'light', 'beams', 'in', 'a', 'region', 'of', 'space', 'of', 'finite', 'distance', 'from', 'the', 'observer', 'which', 'means', 'that', 'since', 'nothing', 'travels', 'faster', 'than', 'light', 'events', 'on', 'the', 'far', 'side', 'of', 'a', 'horizon', 'can', 'not', 'influence', 'those', 'on', 'the', 'causal', 'side', 'a', 'black', 'hole', 'has', 'such', 'a', 'horizon', 'where', 'some', 'radially', 'outgoing', 'light', 'beams', 'can', 'never', 'reach', 'a', 'distant', 'or', 'even', 'nearby', 'observer', 'however', 'since', 'one', 'suspects', 'that', 'black', 'holes', 'can', 'swallow', 'energy', 'and', 'even', 'evaporate', 'by', 'hawking', 'radiation', 'such', 'horizons', 'must', 'take', 'on', 'a', 'time', 'dependency', 'a', 'naive', 'introduction', 'of', 'temporal', 'dependency', 'results', 'in', 'infinities', 'singularities', 'in', 'energy', 'densities', 'suggesting', 'in', 'such', 'descriptions', 'that', 'an', 'infalling', 'observer', 'would', 'encounter', 'a', 'hard', 'surface', 'at', 'the', 'horizon', 'however', 'if', 'coordinates', 'representing', 'spacetime', 'as', 'analogous', 'to', 'a', 'flowing', 'river', 'are', 'used', 'to', 'describe', 'the', 'dynamics', 'of', 'a', 'black', 'hole', 'no', 'such', 'singularities', 'are', 'encountered', 'such', 'a', 'parameterization', 'of', 'time', 'dependent', 'horizons', 'will', 'be', 'offered', 'in', 'this', 'presentation', 'a', 'penrose', 'spacetime', 'diagram', 'which', 'represents', 'the', 'entire', 'spacetime', 'on', 'a', 'finite', 'diagram', 'with', 'light', 'beams', 'always', 'moving', 'at', 'a', '45', 'degree', 'angle', 'to', 'vertical', 'describing', 'the', 'growth', 'and', 'evaporation', 'of', 'an', 'example', 'black', 'hole', 'along', 'with', 'the', 'resulting', 'coordinate', 'anomaly', 'will', 'be', 'constructed']]
[-0.14771814907489175, 0.1523089530778534, -0.14709955872224217, 0.1123671245877631, -0.10911935740786437, -0.1439175062652858, 0.012698352341370919, 0.35329561319308855, -0.22260027460236972, -0.27916369669032715, 0.12526093804101063, -0.32610562806107957, -0.06914168014909071, 0.1982235974229109, -0.06733297118786333, -0.015446161667689156, 0.032781669195117796, 0.08301953824302633, -0.09540957580387206, -0.2031612990994318, 0.3241557596171365, 0.10473999586599952, 0.22264198014832673, 0.019271208172344033, 0.13862034838055856, 0.02596110023869948, 0.009979198169832976, 0.09915373793745204, -0.10019951128953579, 0.03327105156174709, 0.22090191565790432, 0.13791294584034364, 0.23507767773360538, -0.4385290075963289, -0.253905487443743, 0.09880798556411122, 0.18270929938383268, 0.15009123355351256, -0.08015876127015142, -0.2634609828165646, 0.007981437231754547, -0.1603154373619452, -0.19204873244774565, 0.02560520169247221, 0.04959949158903392, -0.021742104142155532, -0.1826374501724305, 0.0436858610549556, 0.057601988848938815, 0.010142814060688503, -0.0586754899035569, -0.019384430934744786, -0.052320322742386176, 0.09622455149771551, 0.09682086218324888, 0.04752972695590838, 0.17975087578732538, -0.09836171832784912, -0.09836432061851484, 0.36527249400015704, -0.01810554946324786, -0.191635151163958, 0.1845508042891153, -0.21898067511191452, -0.0528435707317936, 0.16120291239323528, 0.1654356088610325, 0.16048782708334616, -0.13639292740172015, 0.0691806163189067, 0.007615886599908579, 0.1510872957840283, 0.15759568674580116, 0.049844368922499535, 0.35292068531219783, 0.10807439814514526, 0.05800102786099464, 0.10145809593413534, -0.08223906844969231, -0.09990116060092954, -0.3452032784867769, -0.1689652438739126, -0.15110171399497743, 0.08883502444111084, -0.12520879346269362, -0.17918076421162893, 0.3309542331603532, 0.09373404834489235, 0.20584221818127427, -0.012763041757777465, 0.2771588643864373, 0.06527694507085591, 0.06309256471625821, 0.13374418639249705, 0.2745173074052995, 0.03830445965337628, 0.11686735855423669, -0.176272027587594, 0.04250776729011079, 0.04919008569923201]
706.3526
"No Information Without Disturbance": Quantum Limitations of Measurement
In this contribution I review rigorous formulations of a variety of limitations of measurability in quantum mechanics. To this end I begin with a brief presentation of the conceptual tools of modern measurement theory. I will make precise the notion that quantum measurements necessarily alter the system under investigation and elucidate its connection with the complementarity and uncertainty principles.
quant-ph
in this contribution i review rigorous formulations of a variety of limitations of measurability in quantum mechanics to this end i begin with a brief presentation of the conceptual tools of modern measurement theory i will make precise the notion that quantum measurements necessarily alter the system under investigation and elucidate its connection with the complementarity and uncertainty principles
[['in', 'this', 'contribution', 'i', 'review', 'rigorous', 'formulations', 'of', 'a', 'variety', 'of', 'limitations', 'of', 'measurability', 'in', 'quantum', 'mechanics', 'to', 'this', 'end', 'i', 'begin', 'with', 'a', 'brief', 'presentation', 'of', 'the', 'conceptual', 'tools', 'of', 'modern', 'measurement', 'theory', 'i', 'will', 'make', 'precise', 'the', 'notion', 'that', 'quantum', 'measurements', 'necessarily', 'alter', 'the', 'system', 'under', 'investigation', 'and', 'elucidate', 'its', 'connection', 'with', 'the', 'complementarity', 'and', 'uncertainty', 'principles']]
[-0.09913586491671533, 0.0971705920647009, -0.13684517741834712, 0.04018281349296666, -0.10579791286234129, -0.14803248897226431, 0.06482589434461385, 0.29585006492117705, -0.291696148427298, -0.27734722197055817, 0.08905946732877548, -0.2675098022288185, -0.18118139651556642, 0.1456029549619909, -0.14608947493893615, 0.012469180495580816, 0.11198013624713077, -0.018599892812544257, -0.16885681842232786, -0.17335006414707435, 0.33839515256458674, 0.08043270107848033, 0.2916286465577718, 0.09129694542527925, 0.07720203302806575, 0.030360195663426133, -0.10583714312100309, 0.04582455476461831, -0.21521049503188175, 0.18516871835089335, 0.2619633188868786, 0.20831701681175727, 0.30456718737733063, -0.4739774667294854, -0.16123408487982163, 0.04248075169842627, 0.04616340490500048, 0.13340749140134303, -0.03574899871936226, -0.25403782905284633, 0.02039666848762308, -0.1895199804251098, -0.16682909929461903, -0.06142026545890307, 0.018091531241533614, -0.025431079821566404, -0.14189808253767128, 0.008925918900107934, 0.11139607300066341, 0.11682672340864853, -0.012555252510059815, -0.06961688066840614, 0.1308501987694368, 0.10439921497225256, 0.021045761151333987, -0.011118656214991569, 0.12049446696952237, -0.13231515221424023, -0.14961900205304057, 0.39745462120715846, 0.0059257634023551714, -0.18780500080310186, 0.17242144541696536, -0.14795792965470986, -0.22772845701645997, 0.022712467638854632, 0.14123660659070236, 0.0494897243551026, -0.16611240808141686, 0.08551508555843858, 0.02129671144914829, 0.1161381219971483, -0.034006889538555324, 0.12666471338815102, 0.2520235276986229, 0.1659176908512363, 0.01861802193383544, 0.05452051913065804, 0.0031365338926029915, -0.15933155944034205, -0.4393562415330592, -0.20923861704956173, -0.1286564326403126, 0.12708052489275146, -0.0050537793623812305, -0.13038221500435118, 0.3778430840189932, 0.2204761469452563, 0.1319089419824087, 0.04695869779009056, 0.30499126070763094, 0.06556173905402705, -0.024139237890051582, -0.041730548870765556, 0.30036376157807093, 0.22712240986904855, 0.10920251313975807, -0.20520027269119934, 0.0329094902864831, 0.031112562825556023]
706.3527
Model for monitoring of a charge qubit using a radio-frequency quantum point contact including experimental imperfections
The extension of quantum trajectory theory to incorporate realistic imperfections in the measurement of solid-state qubits is important for quantum computation, particularly for the purposes of state preparation and error-correction as well as for readout of computations. Previously this has been achieved for low-frequency (dc) weak measurements. In this paper we extend realistic quantum trajectory theory to include radio frequency (rf) weak measurements where a low-transparency quantum point contact (QPC), coupled to a charge qubit, is used to damp a classical oscillator circuit. The resulting realistic quantum trajectory equation must be solved numerically. We present an analytical result for the limit of large dissipation within the oscillator (relative to the QPC), where the oscillator slaves to the qubit. The rf+dc mode of operation is considered. Here the QPC is biased (dc) as well as subjected to a small-amplitude sinusoidal carrier signal (rf). The rf+dc QPC is shown to be a low-efficiency charge-qubit detector, that may nevertheless be higher than the dc-QPC (which is subject to 1/f noise).
cond-mat.mes-hall quant-ph
the extension of quantum trajectory theory to incorporate realistic imperfections in the measurement of solidstate qubits is important for quantum computation particularly for the purposes of state preparation and errorcorrection as well as for readout of computations previously this has been achieved for lowfrequency dc weak measurements in this paper we extend realistic quantum trajectory theory to include radio frequency rf weak measurements where a lowtransparency quantum point contact qpc coupled to a charge qubit is used to damp a classical oscillator circuit the resulting realistic quantum trajectory equation must be solved numerically we present an analytical result for the limit of large dissipation within the oscillator relative to the qpc where the oscillator slaves to the qubit the rfdc mode of operation is considered here the qpc is biased dc as well as subjected to a smallamplitude sinusoidal carrier signal rf the rfdc qpc is shown to be a lowefficiency chargequbit detector that may nevertheless be higher than the dcqpc which is subject to 1f noise
[['the', 'extension', 'of', 'quantum', 'trajectory', 'theory', 'to', 'incorporate', 'realistic', 'imperfections', 'in', 'the', 'measurement', 'of', 'solidstate', 'qubits', 'is', 'important', 'for', 'quantum', 'computation', 'particularly', 'for', 'the', 'purposes', 'of', 'state', 'preparation', 'and', 'errorcorrection', 'as', 'well', 'as', 'for', 'readout', 'of', 'computations', 'previously', 'this', 'has', 'been', 'achieved', 'for', 'lowfrequency', 'dc', 'weak', 'measurements', 'in', 'this', 'paper', 'we', 'extend', 'realistic', 'quantum', 'trajectory', 'theory', 'to', 'include', 'radio', 'frequency', 'rf', 'weak', 'measurements', 'where', 'a', 'lowtransparency', 'quantum', 'point', 'contact', 'qpc', 'coupled', 'to', 'a', 'charge', 'qubit', 'is', 'used', 'to', 'damp', 'a', 'classical', 'oscillator', 'circuit', 'the', 'resulting', 'realistic', 'quantum', 'trajectory', 'equation', 'must', 'be', 'solved', 'numerically', 'we', 'present', 'an', 'analytical', 'result', 'for', 'the', 'limit', 'of', 'large', 'dissipation', 'within', 'the', 'oscillator', 'relative', 'to', 'the', 'qpc', 'where', 'the', 'oscillator', 'slaves', 'to', 'the', 'qubit', 'the', 'rfdc', 'mode', 'of', 'operation', 'is', 'considered', 'here', 'the', 'qpc', 'is', 'biased', 'dc', 'as', 'well', 'as', 'subjected', 'to', 'a', 'smallamplitude', 'sinusoidal', 'carrier', 'signal', 'rf', 'the', 'rfdc', 'qpc', 'is', 'shown', 'to', 'be', 'a', 'lowefficiency', 'chargequbit', 'detector', 'that', 'may', 'nevertheless', 'be', 'higher', 'than', 'the', 'dcqpc', 'which', 'is', 'subject', 'to', '1f', 'noise']]
[-0.1483333644464217, 0.14167023608046514, -0.053918665963591954, 0.015197936736160156, -0.023139464175046393, -0.24627586953962843, 0.05325684545942667, 0.34876110784596565, -0.22966217180770454, -0.2733151393632094, 0.06827079740310596, -0.24434164150928459, -0.12350510300179436, 0.2773867350029336, -0.07532761583199979, 0.11396591861337198, 0.05313324690231997, 0.018774067472214953, -0.03257728153557488, -0.18068553238373364, 0.22383678790012543, 0.10463297155078952, 0.2752940930454343, 0.02657723613224472, 0.10409053744127353, -0.006207337761015603, 0.06094108674336563, 0.009768880988386545, -0.08171659942710187, 0.018893665628451288, 0.30012683810835533, 0.005149608459605864, 0.23395179930340612, -0.45256892164435353, -0.23174669085719596, 0.07505890282901061, 0.1347984018862586, 0.21058068025052887, -0.013427723718411994, -0.29829171188740117, 0.07816648864836404, -0.19956257939620903, -0.10747694158256337, -0.06620332607435006, 0.012349462966349992, 0.0060903034116508385, -0.27144893008199605, 0.06505791289788304, 0.06498328589178996, 0.026129365825291836, 0.00740154475665115, -0.03751792222204985, 0.04659900659356605, 0.12725503704030858, -0.03425908674433947, 0.054664702747355805, 0.2172740563270495, -0.09846916154986529, -0.12381330010848063, 0.3562907450691317, -0.069404883106031, -0.2169580655228911, 0.13893673757062944, -0.12291346244852651, -0.07707594271297707, 0.08623290299579049, 0.14418450593383927, 0.05440007900311188, -0.18839997442820194, 0.06229057861809534, 0.03987069626084783, 0.18269651780049598, 0.049315039261780456, 0.08357733590528368, 0.1835811037090466, 0.16526395457119428, 0.12109189264081192, 0.19456279556986622, -0.12234067629006776, -0.12389574418634627, -0.29592954637553315, -0.12919501235115935, -0.21968617058327336, 0.12543629550685484, -0.014914988873043154, -0.16777568694369896, 0.40541714024588915, 0.14986184706283506, 0.13385831429905287, -0.02136991634950832, 0.3631680558379175, 0.21027342607408311, 0.06226142292672938, 0.01476634463690447, 0.280771888810859, 0.21238322490544032, 0.1003048648465086, -0.26374359891016147, 0.00646869470506455, -0.02443664655174044]
706.3528
RF Shimming Pulses For Ex-Situ NMR Spectroscopy and Imaging Using B1 Inhomogeneities
I describe a method for generating "shim pulses" for NMR spectroscopy and imaging (MRI) by taking advantage of the inherent inhomogeneity in the static and radiofrequency (RF) fields of a one-sided NMR system. The RF inhomogeneity here is assumed, without loss of generality, to be a linear gradient. General polynomials in the spatial variables can be generated using x, y and z RF gradients using trains of hard pulses which result in linear combinations of monomials xy, y^2, xz etc., and any desired scalings of these monomials. The basic shim pulse is constructed using small tip angle approximations.
physics.chem-ph
i describe a method for generating shim pulses for nmr spectroscopy and imaging mri by taking advantage of the inherent inhomogeneity in the static and radiofrequency rf fields of a onesided nmr system the rf inhomogeneity here is assumed without loss of generality to be a linear gradient general polynomials in the spatial variables can be generated using x y and z rf gradients using trains of hard pulses which result in linear combinations of monomials xy y2 xz etc and any desired scalings of these monomials the basic shim pulse is constructed using small tip angle approximations
[['i', 'describe', 'a', 'method', 'for', 'generating', 'shim', 'pulses', 'for', 'nmr', 'spectroscopy', 'and', 'imaging', 'mri', 'by', 'taking', 'advantage', 'of', 'the', 'inherent', 'inhomogeneity', 'in', 'the', 'static', 'and', 'radiofrequency', 'rf', 'fields', 'of', 'a', 'onesided', 'nmr', 'system', 'the', 'rf', 'inhomogeneity', 'here', 'is', 'assumed', 'without', 'loss', 'of', 'generality', 'to', 'be', 'a', 'linear', 'gradient', 'general', 'polynomials', 'in', 'the', 'spatial', 'variables', 'can', 'be', 'generated', 'using', 'x', 'y', 'and', 'z', 'rf', 'gradients', 'using', 'trains', 'of', 'hard', 'pulses', 'which', 'result', 'in', 'linear', 'combinations', 'of', 'monomials', 'xy', 'y2', 'xz', 'etc', 'and', 'any', 'desired', 'scalings', 'of', 'these', 'monomials', 'the', 'basic', 'shim', 'pulse', 'is', 'constructed', 'using', 'small', 'tip', 'angle', 'approximations']]
[-0.14089366744215392, 0.13319041680221502, -0.0587402361122017, 0.03138085537143432, -0.06397440198960962, -0.17164010284183434, 0.009336565816014702, 0.4354163986934843, -0.31656704244336914, -0.2543844519069, 0.05296594679132294, -0.22231111154958075, -0.07688686969613999, 0.21644927171648157, -0.015144215454822597, 0.057924246133366906, 0.012447349023910202, -0.028897195911909243, -0.09558092782687282, -0.20893251747890776, 0.2700071825398778, 0.010996573718682843, 0.24675502352017378, -0.03839623830186165, 0.16951018213579544, 0.03307082655062134, 0.019741981779700334, 0.015261842489090502, -0.06953242265771391, 0.08274409964642658, 0.2536165949209042, 0.09056178369079432, 0.23929745660695648, -0.422393992201102, -0.22612993014330157, 0.11203087167398605, 0.1600950516413479, 0.09297534290728472, -0.05682514848102036, -0.24712844397896444, 0.08103982270188922, -0.1150441996548895, -0.13542387741427792, -0.09203607721102176, -0.015543714122922749, 0.14717280477456443, -0.35233884205927657, 0.06831406682910283, 0.0913922134869998, 0.14000714503523268, -0.04758365322094487, -0.09917493026979192, -0.0076561339427622, 0.053556706276437153, -0.02080994309876494, 0.09297356095963291, 0.1284038176836104, -0.11365895372416292, -0.09437120100483298, 0.2993913588817326, -0.05216273462770469, -0.220220708145703, 0.10998857123967336, -0.17307449274753428, -0.07263833722004628, 0.13998651714301763, 0.1486281469507067, 0.11377592651382545, -0.14675028528067835, 0.10113657119075711, 0.01834738025517792, 0.20279882004370495, 0.12642180851936263, 0.028760911486401433, 0.1625513888287301, 0.08416343477972764, 0.0029577145314946466, 0.14771599782754344, -0.13800090864984965, 0.007436615001524286, -0.27926207561882177, -0.11042940618508325, -0.21540420749272238, 0.06719231956201244, -0.10159300738525083, -0.1381372190175616, 0.41684598716127935, 0.10548684397731356, 0.16163908203645627, -0.0210076692521249, 0.3306379639353527, 0.12148618747537233, 0.0634465357573817, 0.029790914579465682, 0.17799551174405734, 0.20544103402121716, 0.084289686578535, -0.22374846614310423, 0.06129604365144457, 0.048085057884644795]
706.3529
Mesoscopic fluctuations of spin currents
Spin currents may be generated by applying bias voltages V to the nanostructures even in the absence of spin-active ferromagnetic interfaces. Most theoretical proposals concentrate on a concrete spin-orbit interaction and on the disorder-averaged effect. It remains underappreciated that any spin-orbit interaction produces random spin currents with a typical amplitude e^2 V/\hbar not affected by disorder. This work addresses such mesoscopic fluctuations of spin currents for generic model of a nanostructure where several quantum connectors meet in a single node. The analysis is performed in the framework of recently developed quantum circuit theory of G_Q corrections and reveals four distinct mechanisms of spin current fluctuations. The results are elaborated for simple models of tunnel and ballistic connectors.
cond-mat.mes-hall
spin currents may be generated by applying bias voltages v to the nanostructures even in the absence of spinactive ferromagnetic interfaces most theoretical proposals concentrate on a concrete spinorbit interaction and on the disorderaveraged effect it remains underappreciated that any spinorbit interaction produces random spin currents with a typical amplitude e2 vhbar not affected by disorder this work addresses such mesoscopic fluctuations of spin currents for generic model of a nanostructure where several quantum connectors meet in a single node the analysis is performed in the framework of recently developed quantum circuit theory of g_q corrections and reveals four distinct mechanisms of spin current fluctuations the results are elaborated for simple models of tunnel and ballistic connectors
[['spin', 'currents', 'may', 'be', 'generated', 'by', 'applying', 'bias', 'voltages', 'v', 'to', 'the', 'nanostructures', 'even', 'in', 'the', 'absence', 'of', 'spinactive', 'ferromagnetic', 'interfaces', 'most', 'theoretical', 'proposals', 'concentrate', 'on', 'a', 'concrete', 'spinorbit', 'interaction', 'and', 'on', 'the', 'disorderaveraged', 'effect', 'it', 'remains', 'underappreciated', 'that', 'any', 'spinorbit', 'interaction', 'produces', 'random', 'spin', 'currents', 'with', 'a', 'typical', 'amplitude', 'e2', 'vhbar', 'not', 'affected', 'by', 'disorder', 'this', 'work', 'addresses', 'such', 'mesoscopic', 'fluctuations', 'of', 'spin', 'currents', 'for', 'generic', 'model', 'of', 'a', 'nanostructure', 'where', 'several', 'quantum', 'connectors', 'meet', 'in', 'a', 'single', 'node', 'the', 'analysis', 'is', 'performed', 'in', 'the', 'framework', 'of', 'recently', 'developed', 'quantum', 'circuit', 'theory', 'of', 'g_q', 'corrections', 'and', 'reveals', 'four', 'distinct', 'mechanisms', 'of', 'spin', 'current', 'fluctuations', 'the', 'results', 'are', 'elaborated', 'for', 'simple', 'models', 'of', 'tunnel', 'and', 'ballistic', 'connectors']]
[-0.2179807571288294, 0.19770160694328, -0.00898458002310278, 0.03733345445118144, -0.03172494492167209, -0.201104717886346, 0.025127764724585045, 0.3596709194776212, -0.21948544619083563, -0.2728660180209539, -0.008179172267540334, -0.27923495456194264, -0.1437736615920678, 0.22748624253023064, 0.01912258331003225, 0.019150088092463456, 0.008292025731255611, -0.022413284963585883, -0.04510375365622851, -0.18522408638451981, 0.2913965120469817, -0.006843593319814302, 0.3059283185105484, 0.1099797919448306, 0.0645615877623423, 0.00981281233083807, 0.05100009053085859, 0.05458824153050271, -0.10423795099433115, 0.06293983873712201, 0.22925194145348068, -0.04670052960292142, 0.20517236641488779, -0.508301693898363, -0.21227772753590193, 0.03176906603810369, 0.11063457481387971, 0.18566108567433226, -0.055713741118725166, -0.29909590865748054, 0.06387539318554764, -0.19226941444043422, -0.10613112355399336, -0.07371463193597956, 0.015419295881516658, -0.009999187647277473, -0.2621125648699653, 0.06328480510025197, 0.11668499497274876, 0.07019713362002283, -0.003549792033691819, -0.11138254730428895, -0.047077086473552465, 0.09192371671685041, 0.013253952092968691, 0.013344000400099745, 0.20148114261464176, -0.15893841057649663, -0.18730014615142956, 0.3178394596036683, -0.0426401237770119, -0.19234755566307846, 0.145024241374121, -0.14898775854649451, -0.11154333197981374, 0.09080700045968923, 0.10676858936332995, 0.08136888470850949, -0.18291463646400943, 0.11085401858953345, 0.031947578868677474, 0.1196305028672338, 0.02098375545321112, 0.044947231761538066, 0.25876315456265825, 0.19194660940740862, 0.03729182013915454, 0.11244447485038327, -0.08917927082516572, -0.08072801360175905, -0.2665825913079147, -0.10842939176692222, -0.21828063598905617, 0.08185075593897854, -0.05888981472774962, -0.17887615726098546, 0.43874821319786084, 0.195671253460539, 0.16190164545789743, -0.019605910166715965, 0.30102046007592964, 0.12493516639288929, 0.08497105930279145, 0.027417054600714166, 0.22688913406828085, 0.1811636427664158, 0.06289510467511594, -0.26018860075288475, 0.0850079003850826, 0.007753052653219455]
706.353
Rescattering effects and the determination of the gluon density for x << 1
We consider the possible role of rescattering effects in the determination of the gluon density for the LHC from DIS data. We discuss a method that uses results of s-channel calculations to estimate these effects, and comment on potential applications to diffractive and multi-parton interactions.
hep-ph
we consider the possible role of rescattering effects in the determination of the gluon density for the lhc from dis data we discuss a method that uses results of schannel calculations to estimate these effects and comment on potential applications to diffractive and multiparton interactions
[['we', 'consider', 'the', 'possible', 'role', 'of', 'rescattering', 'effects', 'in', 'the', 'determination', 'of', 'the', 'gluon', 'density', 'for', 'the', 'lhc', 'from', 'dis', 'data', 'we', 'discuss', 'a', 'method', 'that', 'uses', 'results', 'of', 'schannel', 'calculations', 'to', 'estimate', 'these', 'effects', 'and', 'comment', 'on', 'potential', 'applications', 'to', 'diffractive', 'and', 'multiparton', 'interactions']]
[-0.03894370194110605, 0.14402058378068938, -0.15327099029414562, 0.17016028196861346, -0.0726839969969458, -0.009832575016965469, 0.04768043595055739, 0.35684553649690415, -0.18594516190803714, -0.23941292866236633, -0.0011115405630941191, -0.3264008230012324, -0.12887187875005313, 0.15836940421722828, 0.06468374520126316, 0.05825418142808808, 0.11654257712264855, -0.04218435916635725, -0.0517829639901821, -0.22658323103872438, 0.3989679096887509, 0.044914202640453975, 0.19994189482596186, 0.26192587469187045, 0.07658516748342663, 0.16777176385124523, -0.11937003343676528, -0.06589614341242446, -0.160105984187976, 0.0912456450983882, 0.25818044272147944, 0.06657372612713111, 0.1715566460457113, -0.4458443867870503, -0.13150578543750777, 0.0822749876934621, 0.12050908857749568, 0.167732279371315, -0.0837647988486828, -0.24569086116842098, 0.05404385117710465, -0.2137621277736293, -0.16313406972007619, -0.12192258377456003, -0.021949275996949937, 0.0007336141489860085, -0.34934292377697096, 0.07387081974496444, -0.037725089262757035, -0.03708673607600051, -0.044902210392885736, -0.19278936822795206, -0.035800780573238926, 0.058260273136612445, 0.11800325592307168, 0.03695883925797211, 0.18368443430711826, -0.2302121139028006, -0.1988420248342057, 0.3937106649080912, -0.025674007972702383, -0.14955847416487006, 0.15703002838417887, -0.16912263442451755, -0.17356327158502408, 0.079426853151785, 0.281061869342294, 0.04789869756334358, -0.1438723214591543, 0.11095465472123275, 0.03775958366847287, 0.12220811625528667, 0.04458609364098973, 0.10281387189817097, 0.13922719905773798, 0.22259467614607678, -0.0575708679544429, 0.07131060703864528, -0.16704236944206058, -0.07455032692523673, -0.4099247340526846, -0.09012813530862332, -0.11490763914253976, 0.007657716982066631, -0.07911198148439225, -0.12811477919005684, 0.35455659122930633, 0.2394494415157371, 0.2350993911166572, -0.03192467668818103, 0.3289696964952681, 0.08630455519176192, 0.05864488145129548, 0.021874529661403762, 0.2837677026788394, 0.18053348389350707, 0.11048426856804225, -0.27979710476162534, 0.043939018316127156, 0.05549726807512343]
706.3531
On the Origin of the "Ridge" phenomenon induced by Jets in Heavy Ion Collisions
We argue that "ridge" in 2-particle correlation function associated with hard trigger at RHIC heavy ion collisions is naturally explained by an interrelation of jet quenching and hydrodynamical transverse flow. The excess particles forming the ridge are produced by QCD bremsstrahlung along the beam (and thus have wide rapidity distribution) and then boosted by transverse flow. Nontrivial correlation between directions of the jet and the radial flow is provided by jet quenching: our straightforward and basically parameter-independent calculation reproduces the angular shape, width and other properties of the "ridge".
nucl-th
we argue that ridge in 2particle correlation function associated with hard trigger at rhic heavy ion collisions is naturally explained by an interrelation of jet quenching and hydrodynamical transverse flow the excess particles forming the ridge are produced by qcd bremsstrahlung along the beam and thus have wide rapidity distribution and then boosted by transverse flow nontrivial correlation between directions of the jet and the radial flow is provided by jet quenching our straightforward and basically parameterindependent calculation reproduces the angular shape width and other properties of the ridge
[['we', 'argue', 'that', 'ridge', 'in', '2particle', 'correlation', 'function', 'associated', 'with', 'hard', 'trigger', 'at', 'rhic', 'heavy', 'ion', 'collisions', 'is', 'naturally', 'explained', 'by', 'an', 'interrelation', 'of', 'jet', 'quenching', 'and', 'hydrodynamical', 'transverse', 'flow', 'the', 'excess', 'particles', 'forming', 'the', 'ridge', 'are', 'produced', 'by', 'qcd', 'bremsstrahlung', 'along', 'the', 'beam', 'and', 'thus', 'have', 'wide', 'rapidity', 'distribution', 'and', 'then', 'boosted', 'by', 'transverse', 'flow', 'nontrivial', 'correlation', 'between', 'directions', 'of', 'the', 'jet', 'and', 'the', 'radial', 'flow', 'is', 'provided', 'by', 'jet', 'quenching', 'our', 'straightforward', 'and', 'basically', 'parameterindependent', 'calculation', 'reproduces', 'the', 'angular', 'shape', 'width', 'and', 'other', 'properties', 'of', 'the', 'ridge']]
[-0.06094540926638279, 0.20904051024467407, -0.1630560658673306, 0.12105980094030416, -0.034729541111946774, -0.08978763262981947, -0.10748610568096799, 0.4720095083708718, -0.27090709567530435, -0.272203589391926, -0.01535681981117245, -0.29734836452839414, 0.050214698118385935, 0.1506391902757662, 0.07115726047352458, 0.09105942335523916, 0.09207380054455795, -0.07269420135201196, -0.05232119453244246, -0.11018840954482054, 0.35129697384637143, 0.1223018370945467, 0.2389593468769715, 0.15053999311489502, 0.0976270519960881, 0.07413640140629049, -0.06832463820360266, 0.04167827018379663, -0.10286616878572583, 0.042602140192541535, 0.18034993126214052, 0.02131928266496973, 0.1564196374037125, -0.3454382819427031, -0.20441459521148983, 0.014806543976549855, 0.19694389339557358, 0.016819356851740165, -0.07367185222801198, -0.2025726657632864, 0.06445330917688735, -0.21936864744652104, -0.18103161544193713, -0.04000232843263598, -0.007641112170276347, 0.05126087871913829, -0.24002190641901885, 0.1688642379464163, 0.045660294483159405, 0.06062483565693491, 0.028336569693023235, -0.11493876907618696, -0.11856111260183323, 0.020802699824732342, 0.1253288913403083, 0.11472985561900469, 0.2186845067804784, -0.1799774904378292, -0.13475813813313967, 0.35422494340415916, -0.0055164731934331775, -0.14193609466232107, 0.1907733150959287, -0.21782130982433812, -0.10331393739083007, 0.18506371826875243, 0.2005262200254947, 0.06623283901848318, -0.12574168387538848, -0.018930029682553466, -0.04298670310527086, 0.1133552407972162, 0.08025114810136094, 0.025155813176854606, 0.2484871335746197, 0.11658706423941623, 0.014326188046213113, 0.13820506674790195, -0.1538244826160633, -0.10976269889591533, -0.38455944148342264, -0.0805982241061715, -0.13321040705725384, -0.001445512592091403, -0.1173584587297146, -0.08849165796072045, 0.38524585229794633, 0.03170259871384066, 0.30748085534786074, -0.011987876629697556, 0.3135327420542749, 0.10525662209864789, 0.0830037879229136, 0.16016881803071567, 0.294360811738402, 0.1791272557607402, 0.15889288902314108, -0.30602159936587964, 0.0877531284748922, 0.05739829523405165]
706.3532
On the Sharpness and Bias of Quantum Effects
The question of quantifying the sharpness (or unsharpness) of a quantum mechanical effect is investigated. Apart from sharpness, another property, bias, is found to be relevant for the joint measurability or coexistence of two effects. Measures of bias will be defined and examples given.
math-ph math.MP quant-ph
the question of quantifying the sharpness or unsharpness of a quantum mechanical effect is investigated apart from sharpness another property bias is found to be relevant for the joint measurability or coexistence of two effects measures of bias will be defined and examples given
[['the', 'question', 'of', 'quantifying', 'the', 'sharpness', 'or', 'unsharpness', 'of', 'a', 'quantum', 'mechanical', 'effect', 'is', 'investigated', 'apart', 'from', 'sharpness', 'another', 'property', 'bias', 'is', 'found', 'to', 'be', 'relevant', 'for', 'the', 'joint', 'measurability', 'or', 'coexistence', 'of', 'two', 'effects', 'measures', 'of', 'bias', 'will', 'be', 'defined', 'and', 'examples', 'given']]
[-0.13314751395955682, 0.14666997353461655, -0.0770121044055982, 0.1035536099489863, -0.07448733811774715, -0.1562494210031053, 0.03192493250720541, 0.31853723542934115, -0.30713034996932204, -0.2788336233405227, 0.09514259827450257, -0.27922489045357163, -0.1483596206579188, 0.23194001669021833, -0.11120431952771138, 0.04991414317522536, -0.0061306257478215475, 0.02498554420361126, -0.0791300936305726, -0.22611515535126356, 0.3646974131803621, 0.04999820894127796, 0.27586242090910673, 0.1349434122887694, 0.0765296465463259, -0.04754017506175759, -0.031426009203476664, 0.12224481676027855, -0.16139437560923398, 0.046103758652779186, 0.2115508191160519, 0.1336623001843691, 0.3173420297151262, -0.32191250452094455, -0.20792416895909066, 0.13436493046835743, 0.08428940464827148, 0.10300226333889771, -0.035783935422924434, -0.34253249706869776, 0.06608507457845421, -0.10500936015424403, -0.11768071954561905, -0.051112096322785044, 0.0029053173705258155, 0.007460291624407877, -0.285163982369175, 0.12144639838317578, 0.1151955702490258, 0.09426575467329133, -0.017839958298612724, -0.08592597113668242, -0.02252690383995121, 0.20054347487166524, 0.04631791118828749, -0.016836461411664706, 0.1691523538902402, -0.1038223513063382, -0.14998222804173234, 0.3582416798242114, 0.017937291201881388, -0.2435438787903298, 0.14713165832852776, -0.17072879391807047, -0.0950829119485041, 0.05900312936864793, 0.11270192635922947, 0.047396448885344646, -0.13681830818214538, 0.04439947381483349, 0.04393774360968647, 0.15037152213467794, 0.08291187825274061, 0.09797167985446074, 0.21372669118202545, 0.1269442640160295, 0.06766280507541854, 0.185000802797731, -0.06391975969414819, -0.04981939909471707, -0.3084238412663002, -0.1355568559162996, -0.2200107691513205, 0.06883989270268516, -0.07253518474085881, -0.15413320205301384, 0.3966553005686199, 0.15145933043889023, 0.19825873709156772, -0.004517526011279022, 0.2529562862420624, 0.12016967041629621, 0.0004338722422041676, -0.041973801504354924, 0.2695106857837262, 0.15051855974492023, -0.018151731230318546, -0.20063835254933854, 0.1541358644290912, 0.023246136811477216]
706.3533
Rotational dynamics of a superhelix towed in a Stokes fluid
Motivated by the intriguing motility of spirochetes (helically-shaped bacteria that screw through viscous fluids due to the action of internal periplasmic flagella), we examine the fundamental fluid dynamics of superhelices translating and rotating in a Stokes fluid. A superhelical structure may be thought of as a helix whose axial centerline is not straight, but also a helix. We examine the particular case where these two superimposed helices have different handedness, and employ a combination of experimental, analytic, and computational methods to determine the rotational velocity of superhelical bodies being towed through a very viscous fluid. We find that the direction and rate of the rotation of the body is a result of competition between the two superimposed helices; for small axial helix amplitude, the body dynamics is controlled by the short-pitched helix, while there is a cross-over at larger amplitude to control by the axial helix. We find far better, and excellent, agreement of our experimental results with numerical computations based upon the method of Regularized Stokeslets than upon the predictions of classical resistive force theory.
physics.flu-dyn physics.bio-ph
motivated by the intriguing motility of spirochetes helicallyshaped bacteria that screw through viscous fluids due to the action of internal periplasmic flagella we examine the fundamental fluid dynamics of superhelices translating and rotating in a stokes fluid a superhelical structure may be thought of as a helix whose axial centerline is not straight but also a helix we examine the particular case where these two superimposed helices have different handedness and employ a combination of experimental analytic and computational methods to determine the rotational velocity of superhelical bodies being towed through a very viscous fluid we find that the direction and rate of the rotation of the body is a result of competition between the two superimposed helices for small axial helix amplitude the body dynamics is controlled by the shortpitched helix while there is a crossover at larger amplitude to control by the axial helix we find far better and excellent agreement of our experimental results with numerical computations based upon the method of regularized stokeslets than upon the predictions of classical resistive force theory
[['motivated', 'by', 'the', 'intriguing', 'motility', 'of', 'spirochetes', 'helicallyshaped', 'bacteria', 'that', 'screw', 'through', 'viscous', 'fluids', 'due', 'to', 'the', 'action', 'of', 'internal', 'periplasmic', 'flagella', 'we', 'examine', 'the', 'fundamental', 'fluid', 'dynamics', 'of', 'superhelices', 'translating', 'and', 'rotating', 'in', 'a', 'stokes', 'fluid', 'a', 'superhelical', 'structure', 'may', 'be', 'thought', 'of', 'as', 'a', 'helix', 'whose', 'axial', 'centerline', 'is', 'not', 'straight', 'but', 'also', 'a', 'helix', 'we', 'examine', 'the', 'particular', 'case', 'where', 'these', 'two', 'superimposed', 'helices', 'have', 'different', 'handedness', 'and', 'employ', 'a', 'combination', 'of', 'experimental', 'analytic', 'and', 'computational', 'methods', 'to', 'determine', 'the', 'rotational', 'velocity', 'of', 'superhelical', 'bodies', 'being', 'towed', 'through', 'a', 'very', 'viscous', 'fluid', 'we', 'find', 'that', 'the', 'direction', 'and', 'rate', 'of', 'the', 'rotation', 'of', 'the', 'body', 'is', 'a', 'result', 'of', 'competition', 'between', 'the', 'two', 'superimposed', 'helices', 'for', 'small', 'axial', 'helix', 'amplitude', 'the', 'body', 'dynamics', 'is', 'controlled', 'by', 'the', 'shortpitched', 'helix', 'while', 'there', 'is', 'a', 'crossover', 'at', 'larger', 'amplitude', 'to', 'control', 'by', 'the', 'axial', 'helix', 'we', 'find', 'far', 'better', 'and', 'excellent', 'agreement', 'of', 'our', 'experimental', 'results', 'with', 'numerical', 'computations', 'based', 'upon', 'the', 'method', 'of', 'regularized', 'stokeslets', 'than', 'upon', 'the', 'predictions', 'of', 'classical', 'resistive', 'force', 'theory']]
[-0.1809367755151886, 0.16479807880041855, -0.08871526199792112, 0.0031687226173068798, -0.06717960804933681, -0.14619771261832543, 0.009763483550050295, 0.36653508635503906, -0.2515828948521188, -0.26215093614799634, 0.0527058173995465, -0.226726181052093, -0.17864499025845101, 0.19418997976662858, -0.0195366069568055, 0.020125149955440846, 0.04600872140244714, 0.025956595935858785, -0.03044063784980348, -0.13773099735911404, 0.2669832767000688, 0.03791296873773847, 0.26487817879234044, 0.028656627470627426, 0.12448221455461213, -0.02406034915109298, 0.007521316203887441, 0.06415764429473451, -0.18887510149648212, 0.11121650957136547, 0.15153432001891945, 0.014489836546459368, 0.19314921121645187, -0.47554252854415346, -0.20144530886518103, 0.04166606159215527, 0.17967200653228377, 0.14636302665807308, -0.033643449473061735, -0.22938920032632137, 0.05696714627090842, -0.13966316898752537, -0.16176040430952396, -0.06680860926929329, 0.0616781588178128, 0.06883770727851828, -0.21786255555393708, 0.12648520449026754, 0.07758101876825094, 0.10507046215236188, -0.1064524920151702, -0.07938521101006439, -0.04954008741969509, 0.09251889033110014, 0.12414187434640812, 0.0821099564326661, 0.18708669616707735, -0.15506917917036583, -0.08767885125109127, 0.41135566960488046, -0.043718699925728806, -0.23359058954886028, 0.179961782979912, -0.1561370383628777, -0.04472476780680674, 0.1588127700132983, 0.1417361602280289, 0.09547691302640098, -0.10482321427236976, -0.014131367496946561, -0.06045627596122878, 0.15044895792180407, 0.11281002799182066, -0.07010039742275175, 0.24006732573666212, 0.16624058933662517, 0.020838120759331755, 0.145290203422441, -0.10353036742940146, -0.13149082715223942, -0.2668168439875756, -0.14189748416255626, -0.13386303175523478, 0.0257462365673356, -0.08852351739561917, -0.15928327525591676, 0.3685946266619223, 0.06900920737434976, 0.18593747832679322, 0.03709395330399275, 0.2972340615466237, 0.018749432497258696, 0.06217206971985953, 0.05273938121008021, 0.31381242332713943, 0.15610885097379132, 0.09123078435792455, -0.2762316001486033, 0.06206322577116745, 0.04185178163394864]
706.3534
Dynamic metastability in the two-dimensional Potts ferromagnet
We investigate the non-equilibrium dynamics of the 2D Potts model on the square lattice after a quench below the discontinuous transition point. By means of numerical simulations of systems with q =12,24 and 48 we observe the onset of a stationary regime below the temperature-driven transition, in a temperature interval decreasing with the system size and increasing with q. These results obtained dynamically agree with those obtained from the analytical continuation of the free energy (Meunier and Morel, 2000), from which metastability in the 2D Potts model results to be a finite size effect.
cond-mat.stat-mech
we investigate the nonequilibrium dynamics of the 2d potts model on the square lattice after a quench below the discontinuous transition point by means of numerical simulations of systems with q 1224 and 48 we observe the onset of a stationary regime below the temperaturedriven transition in a temperature interval decreasing with the system size and increasing with q these results obtained dynamically agree with those obtained from the analytical continuation of the free energy meunier and morel 2000 from which metastability in the 2d potts model results to be a finite size effect
[['we', 'investigate', 'the', 'nonequilibrium', 'dynamics', 'of', 'the', '2d', 'potts', 'model', 'on', 'the', 'square', 'lattice', 'after', 'a', 'quench', 'below', 'the', 'discontinuous', 'transition', 'point', 'by', 'means', 'of', 'numerical', 'simulations', 'of', 'systems', 'with', 'q', '1224', 'and', '48', 'we', 'observe', 'the', 'onset', 'of', 'a', 'stationary', 'regime', 'below', 'the', 'temperaturedriven', 'transition', 'in', 'a', 'temperature', 'interval', 'decreasing', 'with', 'the', 'system', 'size', 'and', 'increasing', 'with', 'q', 'these', 'results', 'obtained', 'dynamically', 'agree', 'with', 'those', 'obtained', 'from', 'the', 'analytical', 'continuation', 'of', 'the', 'free', 'energy', 'meunier', 'and', 'morel', '2000', 'from', 'which', 'metastability', 'in', 'the', '2d', 'potts', 'model', 'results', 'to', 'be', 'a', 'finite', 'size', 'effect']]
[-0.10046670123584261, 0.18702224983853546, -0.06000813445512285, 0.0013097229740641854, 0.03194746154142504, -0.1170384000461707, 0.09851805200215746, 0.3324666838954262, -0.24447080144222746, -0.2979230442817541, 0.11492837192441159, -0.30078851958697145, -0.11693193028344119, 0.18292089027075215, 0.040351332482346826, 0.07584161387677206, 0.01763872755691409, 0.028618583076712775, -0.12342758197337389, -0.19314435899178398, 0.28389828195894495, 0.02790852603898879, 0.2617323414442387, 0.04888558292890245, 0.04645256219590281, -0.008350685828461676, 0.05721712934888622, 0.05000366729268051, -0.24336664868578156, 0.022683763425757595, 0.15878691310756543, -0.0081234905036523, 0.23879790672675727, -0.36926107924986395, -0.24604513901384903, 0.069698531978189, 0.10326104939598194, 0.13100592917242543, -0.035290001081909605, -0.2848441980115356, 0.08908930290094082, -0.17045437963184049, -0.16359603665075562, -0.02532650009193953, 0.0023968542351367624, 0.06710470128962968, -0.27935939268431964, 0.11730418942789449, 0.06261060141185497, 0.10942991409312061, -0.09968130842366434, -0.10972114722120595, -0.06294364135890723, 0.10756876843887322, 0.007569610916494214, 0.07143877849894319, 0.11331973643478085, -0.12381010024159393, -0.1125458598860163, 0.3555647683468588, -0.08574290381140134, -0.1050016452419631, 0.20590870306292114, -0.20608748985513886, -0.07434293950729548, 0.20073251234010814, 0.11592114745005172, 0.09152498889090295, -0.0637150195110193, 0.08472724109355538, -0.022541838717904498, 0.1737691543496615, 0.019259157308198986, -0.04732748896795067, 0.20484771694433182, 0.18469671293736456, -0.005020178894096232, 0.18547505734146552, -0.06925226864652669, -0.16768421715700088, -0.28666800054463937, -0.0754829038905495, -0.2128158523998362, 0.058637182530451644, -0.123792890685473, -0.16773284864711, 0.3795407329824694, 0.1720890483888302, 0.24340964227597764, 0.08658894799489335, 0.2113450483141586, 0.14793607381301277, 0.01840526368369923, 0.06670444369306193, 0.20924253564605372, 0.1365214314465312, 0.11427486143966621, -0.26754772748817945, -0.03282377281581656, 0.09283961571673764]
706.3535
Avoidable Sets in The Bicyclic Inverse Semigroup
A subset $U$ of a set $S$ with a binary operation is called {\it avoidable} if $S$ can be partitioned into two subsets $A$ and $B$ such that no element of $U$ can be written as a product of two distinct elements of $A$ or as the product of two distinct elements of $B$. The avoidable sets of the bicyclic inverse semigroup are classified.
math.CO math.GR
a subset u of a set s with a binary operation is called it avoidable if s can be partitioned into two subsets a and b such that no element of u can be written as a product of two distinct elements of a or as the product of two distinct elements of b the avoidable sets of the bicyclic inverse semigroup are classified
[['a', 'subset', 'u', 'of', 'a', 'set', 's', 'with', 'a', 'binary', 'operation', 'is', 'called', 'it', 'avoidable', 'if', 's', 'can', 'be', 'partitioned', 'into', 'two', 'subsets', 'a', 'and', 'b', 'such', 'that', 'no', 'element', 'of', 'u', 'can', 'be', 'written', 'as', 'a', 'product', 'of', 'two', 'distinct', 'elements', 'of', 'a', 'or', 'as', 'the', 'product', 'of', 'two', 'distinct', 'elements', 'of', 'b', 'the', 'avoidable', 'sets', 'of', 'the', 'bicyclic', 'inverse', 'semigroup', 'are', 'classified']]
[-0.18806455710728187, 0.17020872065040749, -0.03112496516041574, 0.006396287915777066, -0.020223647530656308, -0.13312939963361714, 0.05321068424382247, 0.33785018051275983, -0.3612173740984872, -0.22432450338237686, 0.14592941261798842, -0.3406518378178589, -0.061800940358807566, 0.17540041417305474, -0.014514277288981248, -0.05585761311522219, 0.08855217094242107, 0.10513915045885369, -0.06219010467248154, -0.22366931848227978, 0.34352721829054644, -0.1510925157017482, 0.12434785813093185, -0.026971965795382857, 0.09237816923996434, -0.0537295959511539, -0.02640792559395777, 0.14452823498868383, -0.03378804529768331, 0.09535873697313946, 0.2621192602091469, 0.20896642742445692, 0.2663636142387986, -0.37374684249516577, -0.1450669703335734, 0.19828688637971936, 0.12140358148462838, -0.032536578946746886, 0.002519828216463793, -0.2235926463999931, 0.15561932281707413, -0.21548752262606286, -0.05799472787475679, -0.03589559344982263, 0.13593162095639855, 0.02321092849888373, -0.36204048451327253, -0.048497373645659536, 0.11840564683734556, 0.02325068902428029, 0.00713837452349253, -0.1881001856381772, -0.06901574616131256, 0.137728873614833, -0.015807746141945245, 0.06792886518087471, 0.04837971171218669, -0.007354113076871727, -0.11462625960120931, 0.4175949507334735, -0.055916479614097625, -0.22001711789198453, 0.1870921510126209, -0.12566852190502686, -0.07550836604059441, 0.10963848048413638, 0.1261640630546026, 0.12052960996516049, -0.14726506527222227, 0.12275619590855058, -0.11774827857152559, 0.1355150239833165, 0.09573919095419114, 0.03724495324968302, 0.19024564992287196, 0.1274835185322445, 0.04993659681349527, 0.12185300531200483, -0.003552373527782038, 0.060286793697741814, -0.36165633937343955, -0.18902821805386338, -0.19133444620820228, 0.11694813171925489, -0.08981545401161384, -0.2442484371131286, 0.4088074723840691, -0.006800609466154128, 0.23341778096801136, -0.07231496037275065, 0.20404674304882064, 0.08738048772124785, 0.08655951314904087, 0.0899799034013995, 0.0793658776965458, 0.11061126919230446, -0.08199747384060174, -0.163820628724352, 0.05571648955083219, 0.12859119809581898]
706.3536
Stokes trapping and planet formation
It is believed that planets are formed by aggregation of dust particles suspended in the turbulent gas forming accretion disks around developing stars. We describe a mechanism, termed 'Stokes trapping', by which turbulence limits the growth of aggregates of dust particles, so that their Stokes number (defined as the ratio of the damping time of the particles to the Kolmogorov dissipation timescale) remains close to unity. We discuss possible mechanisms for avoiding this barrier to further growth. None of these is found to be satisfactory and we introduce a new theory which does not involve the growth of small clusters of dust grains.
astro-ph
it is believed that planets are formed by aggregation of dust particles suspended in the turbulent gas forming accretion disks around developing stars we describe a mechanism termed stokes trapping by which turbulence limits the growth of aggregates of dust particles so that their stokes number defined as the ratio of the damping time of the particles to the kolmogorov dissipation timescale remains close to unity we discuss possible mechanisms for avoiding this barrier to further growth none of these is found to be satisfactory and we introduce a new theory which does not involve the growth of small clusters of dust grains
[['it', 'is', 'believed', 'that', 'planets', 'are', 'formed', 'by', 'aggregation', 'of', 'dust', 'particles', 'suspended', 'in', 'the', 'turbulent', 'gas', 'forming', 'accretion', 'disks', 'around', 'developing', 'stars', 'we', 'describe', 'a', 'mechanism', 'termed', 'stokes', 'trapping', 'by', 'which', 'turbulence', 'limits', 'the', 'growth', 'of', 'aggregates', 'of', 'dust', 'particles', 'so', 'that', 'their', 'stokes', 'number', 'defined', 'as', 'the', 'ratio', 'of', 'the', 'damping', 'time', 'of', 'the', 'particles', 'to', 'the', 'kolmogorov', 'dissipation', 'timescale', 'remains', 'close', 'to', 'unity', 'we', 'discuss', 'possible', 'mechanisms', 'for', 'avoiding', 'this', 'barrier', 'to', 'further', 'growth', 'none', 'of', 'these', 'is', 'found', 'to', 'be', 'satisfactory', 'and', 'we', 'introduce', 'a', 'new', 'theory', 'which', 'does', 'not', 'involve', 'the', 'growth', 'of', 'small', 'clusters', 'of', 'dust', 'grains']]
[-0.1237361583755876, 0.22606873440836528, -0.06489636074498441, 0.06738058357042921, -0.04974738734286025, -0.06922420834923543, 0.01951392434731813, 0.3292015492418799, -0.27774212084421257, -0.2860544638129548, 0.05121408614671328, -0.22101721808639835, -0.07781725633184164, 0.16771664833017055, -0.04642589751504434, 0.03520706553663154, 0.0077298596609854005, -0.08704743992754267, 0.040975659375318586, -0.26102830568730867, 0.32507555442636166, 0.09822951311480652, 0.17449814926615906, 0.04589321057581189, 0.07103157758676601, -0.1169177188528973, -0.019574593354776067, 0.013228273426083107, -0.21599580159083628, 0.08315657844452766, 0.18532456412857162, 0.08424938553311292, 0.24074311117704922, -0.46007171775964856, -0.2410944648068941, 0.0989350748601035, 0.22333411692225744, 0.10229967115446925, -0.06432139214119213, -0.17288398084420603, 0.09464617317669022, -0.1530039894475954, -0.16533856838263428, -0.010045895113347515, 0.07922822260071785, 0.03669619894285858, -0.25976610503349346, 0.11046026233986056, 0.11248016676603301, 0.027127675562916162, -0.08640575830743295, -0.053550644651127674, -0.04778314691525206, 0.07882356220964813, 0.07908140768373874, -0.03698949180814682, 0.2310994080475812, -0.13483317013099808, -0.03868905053410715, 0.4362495537051587, -0.04516044057661541, -0.1474658594222613, 0.26028344406547405, -0.2088637022500478, -0.06914523530082362, 0.19951876005139743, 0.1637632873596497, 0.1107843567219391, -0.13672127448998897, 0.005739936486985173, -0.06106978197563982, 0.17020522473940572, 0.11214463903062336, 0.03907954840224634, 0.3049924305631119, 0.16774139326355123, 0.0312858127019124, 0.116303172097564, -0.12530914735776888, -0.10055959378018776, -0.25147000910008993, -0.1779337740928224, -0.1936552757272967, 0.06586984885662672, -0.09798504071051901, -0.2066357466347009, 0.27990540264409436, 0.13749639226973637, 0.22111332896662858, 0.054200728790093106, 0.2592227924524725, 0.11635019942932735, 0.1193280075428085, 0.11796804543277159, 0.29563720812749805, 0.14187952623368033, 0.11366753589850172, -0.23492959347888104, 0.10567295114120957, 0.04379767249564378]
706.3537
The Yang Mills system and cyclic covering of abelian varieties
In this paper, we consider a dynamical system related to the Yang-Mills system for a field with gauge group SU(2). We solve this system in terms of genus two hyperelliptic functions and we show that it is algebraic completely integrable in the generalized sense.
math-ph math.DS math.MP
in this paper we consider a dynamical system related to the yangmills system for a field with gauge group su2 we solve this system in terms of genus two hyperelliptic functions and we show that it is algebraic completely integrable in the generalized sense
[['in', 'this', 'paper', 'we', 'consider', 'a', 'dynamical', 'system', 'related', 'to', 'the', 'yangmills', 'system', 'for', 'a', 'field', 'with', 'gauge', 'group', 'su2', 'we', 'solve', 'this', 'system', 'in', 'terms', 'of', 'genus', 'two', 'hyperelliptic', 'functions', 'and', 'we', 'show', 'that', 'it', 'is', 'algebraic', 'completely', 'integrable', 'in', 'the', 'generalized', 'sense']]
[-0.19673100850460204, 0.11439286064441231, -0.10341869819570672, 0.07968057377464985, -0.042983688075434075, -0.12977497323299758, -0.03425245733921078, 0.3345072926445441, -0.2817904425954277, -0.21510426704348487, 0.10305045866037042, -0.24206098653799432, -0.2734535309401425, 0.16147641651332378, -0.12672777033664964, 0.04189573344774544, 0.03943854441802779, 0.07701548998011276, -0.1275683247897012, -0.3105496207982386, 0.4437673894519156, -0.10418714628692462, 0.18995772395282984, 0.04304848857943646, 0.16254474541214717, 0.023305183779236606, 0.04759536792566492, 0.01293843878771771, -0.10175536522745626, 0.09294946711849082, 0.2935540611347692, 0.04160402230495079, 0.17709273940206252, -0.3707993092989041, -0.1918489282146435, 0.16655989268540658, 0.1704234656539153, 0.1113029910590161, 0.006418753648176789, -0.23719303847544573, 0.07230858638649806, -0.21013145921328527, -0.1894920354163994, -0.08229206411421976, -0.01416158502318219, -0.0364979115230116, -0.2239502820990641, 0.02307201363146305, 0.041728190661656714, 0.09892823426476256, -0.056896985614333644, -0.04369417059404606, 0.02535813474308022, 0.03728768739595332, 0.05971916750422679, 0.10032953184352002, 0.04188517039768736, -0.1448681467022239, -0.08171032765213485, 0.3814030152809044, -0.08675719860316762, -0.2930650597184219, 0.15349726552482357, -0.1545689876233651, -0.22262560823847624, 0.0401732658078386, 0.16630883926568044, 0.14472494172778996, -0.1486336839893325, 0.17579963413696864, -0.10939335044134747, 0.14706990444524723, 0.012684284116734158, -0.015278743061406369, 0.15532615708864547, 0.1016330910550261, 0.08582597819622606, 0.19485673028975725, 0.05573406270493499, -0.11533870006149466, -0.3394194630567323, -0.21390371619914236, -0.10965695251202719, 0.11095341233621267, -0.04461849978245234, -0.1704445383934812, 0.4658771332522685, 0.17579660096883096, 0.11922256132079796, 0.11060774349607527, 0.20786619423465294, 0.16333149932324886, 0.02099865668225737, 0.09778952886435119, 0.18084064847789705, 0.17056634107773955, 0.045919969296929514, -0.23671173222299496, -0.11154113823166964, 0.18226653999987652]
706.3538
Some solutions with torsion in Chern-Simons gravity and observable effects
It is shown that in all odd dimensional Chern-Simons theories states in which the torsion is non zero (but it can approach smoothly to zero outside suitable regions) do exist. Some possible observational effects related to neutrino oscillations are pointed out. In the theory of continuum media (in which suitable defects can be described by localized non vanishing torsion) "the gravitational intuition" is a rather useful tool to describe the physical effects of such defects. A possible astrophysical application is shortly described.
gr-qc
it is shown that in all odd dimensional chernsimons theories states in which the torsion is non zero but it can approach smoothly to zero outside suitable regions do exist some possible observational effects related to neutrino oscillations are pointed out in the theory of continuum media in which suitable defects can be described by localized non vanishing torsion the gravitational intuition is a rather useful tool to describe the physical effects of such defects a possible astrophysical application is shortly described
[['it', 'is', 'shown', 'that', 'in', 'all', 'odd', 'dimensional', 'chernsimons', 'theories', 'states', 'in', 'which', 'the', 'torsion', 'is', 'non', 'zero', 'but', 'it', 'can', 'approach', 'smoothly', 'to', 'zero', 'outside', 'suitable', 'regions', 'do', 'exist', 'some', 'possible', 'observational', 'effects', 'related', 'to', 'neutrino', 'oscillations', 'are', 'pointed', 'out', 'in', 'the', 'theory', 'of', 'continuum', 'media', 'in', 'which', 'suitable', 'defects', 'can', 'be', 'described', 'by', 'localized', 'non', 'vanishing', 'torsion', 'the', 'gravitational', 'intuition', 'is', 'a', 'rather', 'useful', 'tool', 'to', 'describe', 'the', 'physical', 'effects', 'of', 'such', 'defects', 'a', 'possible', 'astrophysical', 'application', 'is', 'shortly', 'described']]
[-0.15470326342761925, 0.22078686402315592, -0.10535852935892052, 0.16534954173172392, -0.10741110774688423, -0.185814302267007, -0.009210603932066389, 0.3292190185180161, -0.2529933858072249, -0.23798629783502803, 0.0801303196789288, -0.25156307489066043, -0.18831673107200825, 0.1837761177093631, -0.04593969241534246, 0.01822067297449926, -0.004650475798038448, 0.05839175379426196, -0.0412557482103272, -0.25593617606181196, 0.327558550603188, 0.05176165464430729, 0.24959600553918834, 0.0811575200272406, 0.03176573642370541, -0.06328381294748042, -0.043990898718375984, 0.09046680705122105, -0.09702009327414023, 0.019121628194314812, 0.31704398053811816, 0.07617089339736395, 0.2024380941875279, -0.42660045260336343, -0.2743567230588779, 0.11180386511983759, 0.14043666065738694, 0.14307492851881629, 0.0001938152126967907, -0.28621944138871097, 0.07520217333193414, -0.16354605796315322, -0.20840768186693512, -0.11549976579390647, 0.023060148354710604, -0.03776713193780402, -0.2040556251332618, 0.0597917341894084, 0.06872058525701372, 0.003444899237010537, -0.06303096568586714, -0.06372669633341635, -0.05205221219192736, 0.09877365841189535, 0.09832712047074627, 0.020796457214689836, 0.14123665528065274, -0.10588780234160722, -0.07936460087530134, 0.40721829839777657, -0.04737397315968737, -0.24134267261251807, 0.21320611830494116, -0.15220132151834395, -0.13314806262780798, 0.14330335894440552, 0.07624121118200625, 0.13311812262868555, -0.12314410357971721, 0.13591071545368588, -0.014102679143500765, 0.10483320483940699, 0.07359225855197576, 0.03430235194519344, 0.3049873623389342, 0.09008691282715739, 0.06080753336058611, 0.09383543308046306, -0.017523847474921042, -0.08562534750672057, -0.3802490032664159, -0.11625524559739704, -0.15310100823635145, 0.11857580321148128, -0.04429957832823076, -0.20300179805213348, 0.33254094711482163, 0.14033118469240258, 0.14809312156356144, -0.05842995248087568, 0.24827625069812667, 0.0996975570636029, 0.08983415079007788, 0.03489279291640808, 0.2621767990210906, 0.16013680626751808, 0.056057432785675654, -0.17231599201672573, 0.004715051797286767, 0.05325651843464229]
706.3539
The diameter of random Cayley digraphs of given degree
We consider random Cayley digraphs of order $n$ with uniformly distributed generating set of size $k$. Specifically, we are interested in the asymptotics of the probability such a Cayley digraph has diameter two as $n\to\infty$ and $k=f(n)$. We find a sharp phase transition from 0 to 1 at around $k = \sqrt{n \log n}$. In particular, if $f(n)$ is asymptotically linear in $n$, the probability converges exponentially fast to 1.
math.CO
we consider random cayley digraphs of order n with uniformly distributed generating set of size k specifically we are interested in the asymptotics of the probability such a cayley digraph has diameter two as ntoinfty and kfn we find a sharp phase transition from 0 to 1 at around k sqrtn log n in particular if fn is asymptotically linear in n the probability converges exponentially fast to 1
[['we', 'consider', 'random', 'cayley', 'digraphs', 'of', 'order', 'n', 'with', 'uniformly', 'distributed', 'generating', 'set', 'of', 'size', 'k', 'specifically', 'we', 'are', 'interested', 'in', 'the', 'asymptotics', 'of', 'the', 'probability', 'such', 'a', 'cayley', 'digraph', 'has', 'diameter', 'two', 'as', 'ntoinfty', 'and', 'kfn', 'we', 'find', 'a', 'sharp', 'phase', 'transition', 'from', '0', 'to', '1', 'at', 'around', 'k', 'sqrtn', 'log', 'n', 'in', 'particular', 'if', 'fn', 'is', 'asymptotically', 'linear', 'in', 'n', 'the', 'probability', 'converges', 'exponentially', 'fast', 'to', '1']]
[-0.17893072998191675, 0.23611482308394666, -0.004298576511496651, 0.018775961613215073, 0.0026024101652960844, -0.19192801306591087, 0.07274346021206482, 0.3933832263978927, -0.26240354502384644, -0.2428676883649567, 0.06870457167784427, -0.38322397418644116, -0.11574089911469407, 0.08280075461590204, -0.03825132027808307, 0.07796780801499667, -0.023386172781549933, 0.1731623825275481, -0.015154209811294424, -0.27103392367143236, 0.25612327989454015, -0.038231631430486836, 0.18153207470069005, -0.032105164278460586, 0.04216814903623384, -0.021014805086820885, 0.05616488842887507, 0.018821865968082264, -0.1939675292958492, 0.009383224153324314, 0.2911190252373184, 0.09925484368442625, 0.291365625957648, -0.3526726078134084, -0.10728021561289611, 0.20972656911117551, 0.21329775015972013, 0.033240653061564415, 0.013729374288864758, -0.18747831965067788, 0.16744157805890386, -0.08502282402005748, -0.18004777529816804, 0.003339087023683216, 0.11141840356361607, 0.06725041382014751, -0.33942416928492597, 0.010165134039909943, 0.12196962296139395, 0.013115159755545681, 0.09364024855270711, -0.16189122114640972, 0.024070284730903266, 0.10947370652676276, -0.006335617662272483, 0.06645082110923756, 0.03317648202072883, -0.05973838538984242, -0.06170822533043237, 0.3262279347876809, -0.11358529951025233, -0.14488388165372654, 0.09108669236572324, -0.2115985619282161, -0.17225786178048863, 0.14953875869674527, 0.17862822599978984, 0.1991151817196953, -0.031048360145718292, 0.20066588581117895, -0.06965474984473616, 0.16369065778680902, 0.12234098570205379, 0.012950955275986074, 0.09254726679131821, 0.14735916912542196, 0.16989344696217365, 0.17692565019040005, -0.06740161384442363, -0.05422519473358989, -0.30849364151557285, -0.12213488672927454, -0.25570947501430474, 0.15942461853779422, -0.19284212172847154, -0.19536257035814333, 0.30616168596822285, 0.10599658226567334, 0.26918910933739465, 0.20523731915307217, 0.1815546720855586, 0.09611287967835898, -0.061030805944397616, 0.19766721381144464, 0.072227949536392, 0.13663735385120346, 0.004294546793444433, -0.15007576940621695, 0.05744270898698681, 0.13073182941508898]
706.354
Finite Element Formulation of the Bloch Equations with Dipolar Field Effects
A Galerkin finite element (FEM) formulation for the Bloch equations with dipolar field is presented which makes possible the derivation of weak solutions to the Bloch equations. The FEM formulation has the advantage that the equations of motion are local in real space, eliminating the global truncation errors associated with calculations of the dipolar field in Fourier space. The dipolar field and other geometric parameters are calculated only once, before the simulation, and used as an initial condition rather than re-calculated at every time step of some numerical integration.
physics.chem-ph
a galerkin finite element fem formulation for the bloch equations with dipolar field is presented which makes possible the derivation of weak solutions to the bloch equations the fem formulation has the advantage that the equations of motion are local in real space eliminating the global truncation errors associated with calculations of the dipolar field in fourier space the dipolar field and other geometric parameters are calculated only once before the simulation and used as an initial condition rather than recalculated at every time step of some numerical integration
[['a', 'galerkin', 'finite', 'element', 'fem', 'formulation', 'for', 'the', 'bloch', 'equations', 'with', 'dipolar', 'field', 'is', 'presented', 'which', 'makes', 'possible', 'the', 'derivation', 'of', 'weak', 'solutions', 'to', 'the', 'bloch', 'equations', 'the', 'fem', 'formulation', 'has', 'the', 'advantage', 'that', 'the', 'equations', 'of', 'motion', 'are', 'local', 'in', 'real', 'space', 'eliminating', 'the', 'global', 'truncation', 'errors', 'associated', 'with', 'calculations', 'of', 'the', 'dipolar', 'field', 'in', 'fourier', 'space', 'the', 'dipolar', 'field', 'and', 'other', 'geometric', 'parameters', 'are', 'calculated', 'only', 'once', 'before', 'the', 'simulation', 'and', 'used', 'as', 'an', 'initial', 'condition', 'rather', 'than', 'recalculated', 'at', 'every', 'time', 'step', 'of', 'some', 'numerical', 'integration']]
[-0.14172940074434776, 0.09440806554777553, -0.1016248962737285, 0.028836708784030142, -0.08659041639459267, -0.09118213506122486, -0.03298964272017769, 0.349725960366679, -0.2800662002704117, -0.25922425138355976, 0.11941812126478704, -0.2266019827403714, -0.08159837635035176, 0.2043211911621849, 0.009557065271427122, 0.0638882988080215, 0.08849930053765184, 0.024486224051941646, -0.13384043861486625, -0.24045273018059102, 0.30384487914067976, 0.02294022296921591, 0.2327067729797256, -0.02474612971699765, 0.12617466071740924, -0.000246968800515941, -0.03569204972408126, 0.04990751379472989, -0.11843316041737902, 0.07470750836969427, 0.2045839683184128, 0.02544406669612011, 0.2965497675487834, -0.47519322189998164, -0.2224599333987519, 0.06787249103994265, 0.1416155660231964, 0.15603152041328716, -0.037588810362445005, -0.28791146258708467, 0.05997692767446965, -0.10793275444695119, -0.18663699277205748, -0.11485832912868328, 0.03429116520983575, 0.023447110725755102, -0.28060328620328995, 0.06930047888936622, 0.034606521122492434, 0.06370814093916737, -0.13802827211368954, -0.1183819909621909, -0.04199012725226832, 0.07152604931191112, 0.03950933267603095, 0.0323355584980899, 0.08322504279923133, -0.09586613983167021, -0.06374070759904518, 0.41692214203851946, -0.06798211181502962, -0.2846322518595484, 0.15181621692530559, -0.15367391022194302, -0.05511435004620907, 0.18151634204818795, 0.09488457513533616, 0.1137947294536685, -0.12321782520229227, 0.12670602591765856, -0.010377885721456469, 0.1559381527130314, 0.05216556449494, 0.0037712602080840073, 0.1298264144930277, 0.12979415674390418, 0.07125003138829149, 0.060623328081787345, -0.08667956083212466, -0.15461616900950942, -0.3768195864022448, -0.15302097224996666, -0.2073434361811267, -0.006294975847298844, -0.14134149322400047, -0.21621394927582044, 0.3689394983871097, 0.14371832015432334, 0.10007851785362772, 0.043038450541194484, 0.3283282989698849, 0.18846679179474, 0.07215811425213063, 0.049459697725774535, 0.2486400922954611, 0.18876057779521085, 0.10083743883296847, -0.2703986844633905, 0.017052465414084242, 0.16120476470318404]
706.3541
Beyond Gross-Pitaevskii Mean Field Theory
A large number of effects related to the phenomenon of Bose-Einstein Condensation (BEC) can be understood in terms of lowest order mean field theory, whereby the entire system is assumed to be condensed, with thermal and quantum fluctuations completely ignored. Such a treatment leads to the Gross-Pitaevskii Equation (GPE) used extensively throughout this book. Although this theory works remarkably well for a broad range of experimental parameters, a more complete treatment is required for understanding various experiments, including experiments with solitons and vortices. Such treatments should include the dynamical coupling of the condensate to the thermal cloud, the effect of dimensionality, the role of quantum fluctuations, and should also describe the critical regime, including the process of condensate formation. The aim of this Chapter is to give a brief but insightful overview of various recent theories, which extend beyond the GPE. To keep the discussion brief, only the main notions and conclusions will be presented. This Chapter generalizes the presentation of Chapter 1, by explicitly maintaining fluctuations around the condensate order parameter. While the theoretical arguments outlined here are generic, the emphasis is on approaches suitable for describing single weakly-interacting atomic Bose gases in harmonic traps. Interesting effects arising when condensates are trapped in double-well potentials and optical lattices, as well as the cases of spinor condensates, and atomic-molecular coupling, along with the modified or alternative theories needed to describe them, will not be covered here.
cond-mat.other
a large number of effects related to the phenomenon of boseeinstein condensation bec can be understood in terms of lowest order mean field theory whereby the entire system is assumed to be condensed with thermal and quantum fluctuations completely ignored such a treatment leads to the grosspitaevskii equation gpe used extensively throughout this book although this theory works remarkably well for a broad range of experimental parameters a more complete treatment is required for understanding various experiments including experiments with solitons and vortices such treatments should include the dynamical coupling of the condensate to the thermal cloud the effect of dimensionality the role of quantum fluctuations and should also describe the critical regime including the process of condensate formation the aim of this chapter is to give a brief but insightful overview of various recent theories which extend beyond the gpe to keep the discussion brief only the main notions and conclusions will be presented this chapter generalizes the presentation of chapter 1 by explicitly maintaining fluctuations around the condensate order parameter while the theoretical arguments outlined here are generic the emphasis is on approaches suitable for describing single weaklyinteracting atomic bose gases in harmonic traps interesting effects arising when condensates are trapped in doublewell potentials and optical lattices as well as the cases of spinor condensates and atomicmolecular coupling along with the modified or alternative theories needed to describe them will not be covered here
[['a', 'large', 'number', 'of', 'effects', 'related', 'to', 'the', 'phenomenon', 'of', 'boseeinstein', 'condensation', 'bec', 'can', 'be', 'understood', 'in', 'terms', 'of', 'lowest', 'order', 'mean', 'field', 'theory', 'whereby', 'the', 'entire', 'system', 'is', 'assumed', 'to', 'be', 'condensed', 'with', 'thermal', 'and', 'quantum', 'fluctuations', 'completely', 'ignored', 'such', 'a', 'treatment', 'leads', 'to', 'the', 'grosspitaevskii', 'equation', 'gpe', 'used', 'extensively', 'throughout', 'this', 'book', 'although', 'this', 'theory', 'works', 'remarkably', 'well', 'for', 'a', 'broad', 'range', 'of', 'experimental', 'parameters', 'a', 'more', 'complete', 'treatment', 'is', 'required', 'for', 'understanding', 'various', 'experiments', 'including', 'experiments', 'with', 'solitons', 'and', 'vortices', 'such', 'treatments', 'should', 'include', 'the', 'dynamical', 'coupling', 'of', 'the', 'condensate', 'to', 'the', 'thermal', 'cloud', 'the', 'effect', 'of', 'dimensionality', 'the', 'role', 'of', 'quantum', 'fluctuations', 'and', 'should', 'also', 'describe', 'the', 'critical', 'regime', 'including', 'the', 'process', 'of', 'condensate', 'formation', 'the', 'aim', 'of', 'this', 'chapter', 'is', 'to', 'give', 'a', 'brief', 'but', 'insightful', 'overview', 'of', 'various', 'recent', 'theories', 'which', 'extend', 'beyond', 'the', 'gpe', 'to', 'keep', 'the', 'discussion', 'brief', 'only', 'the', 'main', 'notions', 'and', 'conclusions', 'will', 'be', 'presented', 'this', 'chapter', 'generalizes', 'the', 'presentation', 'of', 'chapter', '1', 'by', 'explicitly', 'maintaining', 'fluctuations', 'around', 'the', 'condensate', 'order', 'parameter', 'while', 'the', 'theoretical', 'arguments', 'outlined', 'here', 'are', 'generic', 'the', 'emphasis', 'is', 'on', 'approaches', 'suitable', 'for', 'describing', 'single', 'weaklyinteracting', 'atomic', 'bose', 'gases', 'in', 'harmonic', 'traps', 'interesting', 'effects', 'arising', 'when', 'condensates', 'are', 'trapped', 'in', 'doublewell', 'potentials', 'and', 'optical', 'lattices', 'as', 'well', 'as', 'the', 'cases', 'of', 'spinor', 'condensates', 'and', 'atomicmolecular', 'coupling', 'along', 'with', 'the', 'modified', 'or', 'alternative', 'theories', 'needed', 'to', 'describe', 'them', 'will', 'not', 'be', 'covered', 'here']]
[-0.10515800595206556, 0.18478269606307782, -0.06174756971018199, 0.07319845685515247, -0.045749647404714405, -0.1385247510412937, -1.7577259884200106e-05, 0.31473742394266113, -0.21313460683844732, -0.27980443222400875, 0.08732102140665875, -0.25583469310293955, -0.13809899066405182, 0.17310045821709613, -0.02283424269299465, 0.041506963837260415, 0.017506532258575118, 0.015838863980222367, -0.050125431233397445, -0.27852885361259677, 0.3352377156912491, 0.06275509737426577, 0.26163186686176615, 0.12529513320512675, 0.04245606704914234, -0.00869889127266183, -0.008550092278016825, 0.025859830245504565, -0.1744933177073786, 0.07990660490734519, 0.25620256907353967, 0.038119913621458335, 0.25268246460685895, -0.4597708997395584, -0.25184041074421887, 0.08715848373722727, 0.20088585651621726, 0.1975547004164536, -0.02189509736126638, -0.28884888027786765, -0.013821439939882543, -0.17658557815445683, -0.18533956984223765, -0.12600823023832025, 0.02531038847075128, 0.04825351616467341, -0.22736040906885924, 0.08141778695080883, 0.08790499704997982, 0.07104969815431475, -0.05310125628035413, -0.09648739210067522, 0.033295240834300105, 0.07307759320653948, 0.031526308863495785, 0.0334271818786165, 0.13565384865130725, -0.16852684831246734, -0.07948236091489612, 0.43552845964302955, -0.07372579701448065, -0.1635006057747548, 0.20302977571776926, -0.13166358532537942, -0.08270884209541383, 0.0919403564821242, 0.14879309307952546, 0.09248384156351183, -0.13900534291456945, 0.06410371188271172, -0.003686378032197955, 0.1426098324887265, 0.03435209618044733, 0.08020024299345342, 0.2802230320097405, 0.18470059089970348, -0.00571863141583705, 0.14341197240361708, -0.023559573903740028, -0.1811022315198019, -0.3261996831141128, -0.13047685962805713, -0.151644181752167, 0.03989209856852047, -0.02248964919691404, -0.1476540462532223, 0.3889378462750386, 0.1752903881261788, 0.1838605782606341, -0.014922683870605335, 0.29027091748854617, 0.119271859138912, 0.03733715766220022, -0.013965113996133462, 0.24784537299804515, 0.1674328697302726, 0.09914638290982851, -0.21093593162614693, -0.009301982962593467, 0.04330778204425538]
706.3542
Odd-frequency Pairs and Josephson Current through a Strong Ferromagnet
We study Josephson current in superconductor / diffusive ferromagnet /superconductor junctions by using the recursive Green function method. When the exchange potential in a ferromagnet is sufficiently large as compared to the pair potential in a superconductor, an ensemble average of Josephson current is much smaller than its mesoscopic fluctuations. The Josephson current vanishes when the exchange potential is extremely large so that a ferromagnet is half-metallic. Spin-flip scattering at junction interfaces drastically changes the characteristic behavior of Josephson current. In addition to spin-singlet Cooper pairs, equal-spin triplet pairs penetrate into a half metal. Such equal-spin pairs have an unusual symmetry property called odd-frequency symmetry and carry the Josephson current through a half metal. The penetration of odd-frequency pairs into a half metal enhances the low energy quasiparticle density of states, which could be detected experimentally by scanning tunneling spectroscopy. We will also show that odd-frequency pairs in a half metal cause a nonmonotonic temperature dependence of the critical Josephson current.
cond-mat.supr-con
we study josephson current in superconductor diffusive ferromagnet superconductor junctions by using the recursive green function method when the exchange potential in a ferromagnet is sufficiently large as compared to the pair potential in a superconductor an ensemble average of josephson current is much smaller than its mesoscopic fluctuations the josephson current vanishes when the exchange potential is extremely large so that a ferromagnet is halfmetallic spinflip scattering at junction interfaces drastically changes the characteristic behavior of josephson current in addition to spinsinglet cooper pairs equalspin triplet pairs penetrate into a half metal such equalspin pairs have an unusual symmetry property called oddfrequency symmetry and carry the josephson current through a half metal the penetration of oddfrequency pairs into a half metal enhances the low energy quasiparticle density of states which could be detected experimentally by scanning tunneling spectroscopy we will also show that oddfrequency pairs in a half metal cause a nonmonotonic temperature dependence of the critical josephson current
[['we', 'study', 'josephson', 'current', 'in', 'superconductor', 'diffusive', 'ferromagnet', 'superconductor', 'junctions', 'by', 'using', 'the', 'recursive', 'green', 'function', 'method', 'when', 'the', 'exchange', 'potential', 'in', 'a', 'ferromagnet', 'is', 'sufficiently', 'large', 'as', 'compared', 'to', 'the', 'pair', 'potential', 'in', 'a', 'superconductor', 'an', 'ensemble', 'average', 'of', 'josephson', 'current', 'is', 'much', 'smaller', 'than', 'its', 'mesoscopic', 'fluctuations', 'the', 'josephson', 'current', 'vanishes', 'when', 'the', 'exchange', 'potential', 'is', 'extremely', 'large', 'so', 'that', 'a', 'ferromagnet', 'is', 'halfmetallic', 'spinflip', 'scattering', 'at', 'junction', 'interfaces', 'drastically', 'changes', 'the', 'characteristic', 'behavior', 'of', 'josephson', 'current', 'in', 'addition', 'to', 'spinsinglet', 'cooper', 'pairs', 'equalspin', 'triplet', 'pairs', 'penetrate', 'into', 'a', 'half', 'metal', 'such', 'equalspin', 'pairs', 'have', 'an', 'unusual', 'symmetry', 'property', 'called', 'oddfrequency', 'symmetry', 'and', 'carry', 'the', 'josephson', 'current', 'through', 'a', 'half', 'metal', 'the', 'penetration', 'of', 'oddfrequency', 'pairs', 'into', 'a', 'half', 'metal', 'enhances', 'the', 'low', 'energy', 'quasiparticle', 'density', 'of', 'states', 'which', 'could', 'be', 'detected', 'experimentally', 'by', 'scanning', 'tunneling', 'spectroscopy', 'we', 'will', 'also', 'show', 'that', 'oddfrequency', 'pairs', 'in', 'a', 'half', 'metal', 'cause', 'a', 'nonmonotonic', 'temperature', 'dependence', 'of', 'the', 'critical', 'josephson', 'current']]
[-0.26719313228968533, 0.22010714190128056, -0.03756012775702402, 0.11003132350160741, -0.06548347892385209, -0.18264772193215323, 0.10243572542822221, 0.3511244414956309, -0.22276645849051419, -0.24202889275329653, -0.07691499619468231, -0.3793635115027428, -0.06579814921569778, 0.18988139263237827, 0.08920142682327423, -0.04013664824633452, -0.01823032757747569, -0.044633060722844675, -0.10328127804605174, -0.1971366313722683, 0.32417328127194195, -0.04368685535446275, 0.4067282448304468, 0.11220989999710582, 0.020855430042138322, -0.013141014303255361, 0.17867338172509334, 0.021909902638435598, -0.10074361773486089, -0.013924500651683047, 0.24784111742774256, -0.12381419104858651, 0.19916588558699005, -0.4972923047142103, -0.1604999669645622, 0.07794744079728844, 0.21893242410733366, 0.1778280031758186, -0.044275876140454785, -0.31069037682391354, 0.07082308946119156, -0.20344791352399624, -0.08919211625980097, -0.03881791744788643, 0.01818251628574217, -0.005326841527130454, -0.2344097750756191, 0.05300500601715612, 0.04907560200153967, 0.06024144587572664, 0.006949946197710233, -0.0748770233560208, -0.10444519705779384, -0.015404320747984456, 0.02252212090388639, 0.08281265960395104, 0.16454610996152041, -0.17375652483606246, -0.06630104646392283, 0.2573721510678297, -0.10542915357264064, -0.1153888190019643, 0.10128037576942006, -0.17660261727287435, 0.011935360555071384, 0.16684228185913524, 0.06773697033640928, 0.08235228981648106, -0.1781086564858924, 0.03938317984848254, -0.029580182486824924, 0.15114941081701544, 0.03619204661226831, 0.10376578879076988, 0.31767388214357195, 0.2481946833202528, 0.06232466026995098, 0.15193682596363942, -0.1498378278920427, -0.02956473261874635, -0.2639837968687061, -0.19998371802503243, -0.24039450215059333, 0.09621021461935016, -0.014647804366450145, -0.20627044686116278, 0.4054080542700831, 0.1844419576751534, 0.206689075025497, -0.0643155053294322, 0.286573528329609, 0.17069556179267237, 0.13463363162009045, -0.00042072035430464896, 0.2081751832845839, 0.15545705084077782, 0.10753152587276418, -0.3305966309620999, 0.10178889257076662, -0.004133979267498944]
706.3543
Study of \pi^{-}p \to \eta n at low energies in a chiral constituent quark model
A chiral quark model approach is extended to the study of the $\pi N$ scattering at low energies. The process of $\pi^{-}p \to \eta n$ near threshold is investigated. The model is successful in describing the differential cross sections and total cross section near the $\eta$ production threshold. The roles of the resonances in $n\leq 2$ shells are clarified. Near threshold, the $S_{11}(1535)$ dominates the reactions, while the interferences from the $S_{11}(1650)$ turn out to be destructive around $W\lesssim 1.6$ GeV. The $D_{13}(1520)$ is crucial to give correct shapes of the differential cross sections. The nucleon pole term contributions are significant. The $P_{11}(1710)$ plays an important role around the c.m. energy $W=1.7$ GeV, it is crucial to produce an enhancement in the region of $W>1.6$ GeV as suggested by the data for total cross section. The $t$-channel is negligible in the reactions.
nucl-th
a chiral quark model approach is extended to the study of the pi n scattering at low energies the process of pip to eta n near threshold is investigated the model is successful in describing the differential cross sections and total cross section near the eta production threshold the roles of the resonances in nleq 2 shells are clarified near threshold the s_111535 dominates the reactions while the interferences from the s_111650 turn out to be destructive around wlesssim 16 gev the d_131520 is crucial to give correct shapes of the differential cross sections the nucleon pole term contributions are significant the p_111710 plays an important role around the cm energy w17 gev it is crucial to produce an enhancement in the region of w16 gev as suggested by the data for total cross section the tchannel is negligible in the reactions
[['a', 'chiral', 'quark', 'model', 'approach', 'is', 'extended', 'to', 'the', 'study', 'of', 'the', 'pi', 'n', 'scattering', 'at', 'low', 'energies', 'the', 'process', 'of', 'pip', 'to', 'eta', 'n', 'near', 'threshold', 'is', 'investigated', 'the', 'model', 'is', 'successful', 'in', 'describing', 'the', 'differential', 'cross', 'sections', 'and', 'total', 'cross', 'section', 'near', 'the', 'eta', 'production', 'threshold', 'the', 'roles', 'of', 'the', 'resonances', 'in', 'nleq', '2', 'shells', 'are', 'clarified', 'near', 'threshold', 'the', 's_111535', 'dominates', 'the', 'reactions', 'while', 'the', 'interferences', 'from', 'the', 's_111650', 'turn', 'out', 'to', 'be', 'destructive', 'around', 'wlesssim', '16', 'gev', 'the', 'd_131520', 'is', 'crucial', 'to', 'give', 'correct', 'shapes', 'of', 'the', 'differential', 'cross', 'sections', 'the', 'nucleon', 'pole', 'term', 'contributions', 'are', 'significant', 'the', 'p_111710', 'plays', 'an', 'important', 'role', 'around', 'the', 'cm', 'energy', 'w17', 'gev', 'it', 'is', 'crucial', 'to', 'produce', 'an', 'enhancement', 'in', 'the', 'region', 'of', 'w16', 'gev', 'as', 'suggested', 'by', 'the', 'data', 'for', 'total', 'cross', 'section', 'the', 'tchannel', 'is', 'negligible', 'in', 'the', 'reactions']]
[-0.12264396831832669, 0.15746565369506282, -0.05262786194146775, 0.14416564964002146, 0.022311960192049632, -0.07582039813655363, 0.017739369163394605, 0.30756950844079256, -0.19231961263855263, -0.29431309470985556, -0.056045102772079934, -0.36088967578597103, -0.05129291636305271, 0.154451677205146, 0.05918860895059917, 0.04229413991807107, 0.045005964938367546, 0.07273714021700893, 0.016739431237408394, -0.17734611696689914, 0.3275435634914943, 0.13539307002096215, 0.2173848740664691, 0.20142335951341395, 0.03995916465851544, 0.049500668714885454, -0.009539394873492812, -0.13001373223304538, -0.13186055821412518, 0.04489260071127767, 0.28629726337815775, -0.0014345101736695834, 0.1405845848789347, -0.34576081696727223, -0.11738512357168103, 0.11791380511885377, 0.1628464055444363, 0.06970106361558477, 0.00039557583997367135, -0.2557301508839911, 0.11124530895760702, -0.16115926768184757, -0.1586035089796855, -0.024616725424724355, 0.05784217301021579, -0.058936360095788294, -0.284337461067685, 0.08827924627534435, 0.02877159146624814, 0.013210213114138574, -0.032313394040512054, -0.21302716806203023, -0.0770205821625521, 0.07291596948536454, 0.06713858105608715, 0.0637032091765153, 0.18740802715716123, -0.175594333595347, -0.09831420304647213, 0.37446451780032103, -0.02931740432059471, -0.1487156914376562, 0.0742440402465151, -0.1563401654506968, -0.0992935010540286, 0.26926130001288906, 0.2041556735467297, 0.11524482402957904, -0.16575467578319072, 0.09763828604166482, 0.006868180815576458, 0.15763929351905204, 0.11576298020885024, 0.009281789300254953, 0.1821033965310895, 0.1928082970430104, 0.004680613246024914, 0.05084387185363571, -0.15481139808355399, -0.11836220687714366, -0.3879307883227585, -0.11599428881153229, -0.03508346134298284, 0.04455605745856637, -0.035096216815565615, -0.05825470093126133, 0.3033813173765018, 0.05417059806608398, 0.2872238418966217, -0.05716075306913232, 0.29341638587008584, 0.1717175835986215, 0.09712214723662277, 0.03479027146319605, 0.3412726639153462, 0.1951250503525059, 0.11921775784559915, -0.23202946739317193, 0.0481403627413207, 0.009642267211104259]
706.3544
The Origin of Large-scale HI structures in the Magellanic Bridge
We investigate the formation of a number of key large-scale HI features in the ISM of the Magellanic Bridge using dissipationless numerical simulation techniques. This study comprises the first direct comparison between detailed HI maps of the Bridge and numerical simulations. We confirm that the SMC forms two tidal filaments: a near arm, which forms the connection between the SMC and LMC, and a counterarm. We show that the HI of the most dense part of the Bridge can become arranged into a bimodal configuration, and that the formation of a "loop" of HI, located off the North-Eastern edge of the SMC can be reproduced simply as a projection of the counter-arm, and without invoking localised energy-deposition processes such as SNe or stellar winds.
astro-ph
we investigate the formation of a number of key largescale hi features in the ism of the magellanic bridge using dissipationless numerical simulation techniques this study comprises the first direct comparison between detailed hi maps of the bridge and numerical simulations we confirm that the smc forms two tidal filaments a near arm which forms the connection between the smc and lmc and a counterarm we show that the hi of the most dense part of the bridge can become arranged into a bimodal configuration and that the formation of a loop of hi located off the northeastern edge of the smc can be reproduced simply as a projection of the counterarm and without invoking localised energydeposition processes such as sne or stellar winds
[['we', 'investigate', 'the', 'formation', 'of', 'a', 'number', 'of', 'key', 'largescale', 'hi', 'features', 'in', 'the', 'ism', 'of', 'the', 'magellanic', 'bridge', 'using', 'dissipationless', 'numerical', 'simulation', 'techniques', 'this', 'study', 'comprises', 'the', 'first', 'direct', 'comparison', 'between', 'detailed', 'hi', 'maps', 'of', 'the', 'bridge', 'and', 'numerical', 'simulations', 'we', 'confirm', 'that', 'the', 'smc', 'forms', 'two', 'tidal', 'filaments', 'a', 'near', 'arm', 'which', 'forms', 'the', 'connection', 'between', 'the', 'smc', 'and', 'lmc', 'and', 'a', 'counterarm', 'we', 'show', 'that', 'the', 'hi', 'of', 'the', 'most', 'dense', 'part', 'of', 'the', 'bridge', 'can', 'become', 'arranged', 'into', 'a', 'bimodal', 'configuration', 'and', 'that', 'the', 'formation', 'of', 'a', 'loop', 'of', 'hi', 'located', 'off', 'the', 'northeastern', 'edge', 'of', 'the', 'smc', 'can', 'be', 'reproduced', 'simply', 'as', 'a', 'projection', 'of', 'the', 'counterarm', 'and', 'without', 'invoking', 'localised', 'energydeposition', 'processes', 'such', 'as', 'sne', 'or', 'stellar', 'winds']]
[-0.1350912624977589, 0.037817392430658785, -0.09449962949785855, 0.084982425360302, -0.04562812599714004, -0.014099713550099442, 0.059939558672222996, 0.3878222870970926, -0.23581990930195448, -0.2890309800634221, 0.059584615473267474, -0.24796638839958882, -0.12406070031143064, 0.19107621214765635, 0.0377844418004726, -0.05073317391478697, 0.07257702755187863, -0.10412698259366857, -0.06848508357812065, -0.19684018484211616, 0.3189119236851712, 0.04150586463360777, 0.16076490782847208, -0.009101462373960643, 0.08676748969141514, -0.09945955015709548, -0.07660999813026959, 0.012542209653709564, -0.13152099941051407, 0.11791311069523104, 0.20391678604139615, 0.08105056886110575, 0.2365033509615328, -0.4679530908864352, -0.19438548330518027, 0.0673762773494086, 0.21977987559136725, 0.051307895764400584, -0.06466375981577702, -0.2899585528930108, 0.07663206373164881, -0.19995870193721907, -0.17814661464053055, 0.048132058616066654, -0.006538801766451328, 0.08699578633569481, -0.213189789953298, 0.09173397172191707, 0.03636351674644937, 0.059421016112713505, -0.038348730993382034, -0.06403328779420155, -0.06341348139892122, 0.12602277956020477, -0.0014629071435680794, 0.0395454267479269, 0.1729552623245024, -0.17142546509257367, -0.04960858474125064, 0.3859900085428249, -0.07367454302842699, -0.050574845341484875, 0.24412020952290586, -0.16105191641667438, -0.15522744977891806, 0.08432518904127421, 0.13516319785717754, 0.07727282145811666, -0.10329229235386235, 0.026626375471448315, -0.08952728634880434, 0.17184635819191293, 0.06477429567565841, 0.011994213102415444, 0.2952008597785607, 0.13829934872844588, 0.05887596400064086, 0.15835230496445402, -0.21277087840304199, -0.12906525422623683, -0.2906782120135763, -0.17508608060738734, -0.14995817056361346, 0.038411032701391845, -0.12932449627506656, -0.15693878634802758, 0.3174321287754743, 0.08801121459973435, 0.26422140645914743, 0.025055376010113244, 0.35399645036687294, 0.06843452672136106, 0.09885554491812663, 0.1324283052273395, 0.24555003067437228, 0.17489060174463497, 0.04374537003065099, -0.24737113778715983, 0.0982979124190376, 0.01778703590577108]
706.3545
Cohen-Macaulayness and computation of Newton graded toric rings
Let $H$ be a positive semigroup in $\mathbb{Z}^d$ generated by $A$, and let $K[H]$ be the associated semigroup ring over a field $K$. We investigate heredity of the Cohen-Macaulay property from $K[H]$ to both its $A$-Newton graded ring and to its face rings. We show by example that neither one inherits in general the Cohen-Macaulay property. On the positive side we show that for every $H$ there exist generating sets $A$ for which the Newton graduation preserves Cohen-Macaulayness. This gives an elementary proof for an important vanishing result on $A$-hypergeometric Euler-Koszul homology. As a tool for our investigations we develop an algorithm to compute algorithmically the Newton filtration on a toric ring.
math.AC math.CO
let h be a positive semigroup in mathbbzd generated by a and let kh be the associated semigroup ring over a field k we investigate heredity of the cohenmacaulay property from kh to both its anewton graded ring and to its face rings we show by example that neither one inherits in general the cohenmacaulay property on the positive side we show that for every h there exist generating sets a for which the newton graduation preserves cohenmacaulayness this gives an elementary proof for an important vanishing result on ahypergeometric eulerkoszul homology as a tool for our investigations we develop an algorithm to compute algorithmically the newton filtration on a toric ring
[['let', 'h', 'be', 'a', 'positive', 'semigroup', 'in', 'mathbbzd', 'generated', 'by', 'a', 'and', 'let', 'kh', 'be', 'the', 'associated', 'semigroup', 'ring', 'over', 'a', 'field', 'k', 'we', 'investigate', 'heredity', 'of', 'the', 'cohenmacaulay', 'property', 'from', 'kh', 'to', 'both', 'its', 'anewton', 'graded', 'ring', 'and', 'to', 'its', 'face', 'rings', 'we', 'show', 'by', 'example', 'that', 'neither', 'one', 'inherits', 'in', 'general', 'the', 'cohenmacaulay', 'property', 'on', 'the', 'positive', 'side', 'we', 'show', 'that', 'for', 'every', 'h', 'there', 'exist', 'generating', 'sets', 'a', 'for', 'which', 'the', 'newton', 'graduation', 'preserves', 'cohenmacaulayness', 'this', 'gives', 'an', 'elementary', 'proof', 'for', 'an', 'important', 'vanishing', 'result', 'on', 'ahypergeometric', 'eulerkoszul', 'homology', 'as', 'a', 'tool', 'for', 'our', 'investigations', 'we', 'develop', 'an', 'algorithm', 'to', 'compute', 'algorithmically', 'the', 'newton', 'filtration', 'on', 'a', 'toric', 'ring']]
[-0.16152973396720383, 0.03165856778958859, -0.11125959372903044, 0.04947819791813926, -0.06905549149624668, -0.18028967071593077, -0.05919634829367603, 0.35468886827898993, -0.3737262156162713, -0.1260309960181313, 0.1394010401721037, -0.23365021940438194, -0.13796295768524697, 0.22058583898385903, -0.1253363771515118, -0.0886012702217527, 0.06326861206760949, 0.10290447127720055, -0.023818789075153904, -0.2884148623760756, 0.3581484152121587, 0.01797195591991096, 0.17612001238189437, 0.0670664440420968, 0.12113537508490924, 0.027235975313872972, -0.003986113459324917, 0.05606616777997162, -0.212849420416279, 0.10792811168806742, 0.2731909055665538, 0.12174365330940566, 0.2557481887355984, -0.3819131860559332, -0.10037906788423792, 0.19527697957620058, 0.1187241618932636, 0.02396987956164086, -0.06864493177377258, -0.24207079073263182, 0.1837302875696673, -0.16193776787887956, -0.16348113296008124, -0.123961082751955, 0.08289574275972103, 0.005257473016778628, -0.31016398335152584, -0.06331143088152145, 0.14665202796459198, 0.14102162392222667, -0.028915972857912246, -0.06394620196000245, -0.056559351707078716, 0.03615531006509119, -0.03411496346313003, 0.043659120628207516, 0.09462059004733607, -0.08446491941985851, -0.1410138747961101, 0.3662036364679938, -0.10815485996961896, -0.19038470218646097, 0.1541422306736176, -0.1651040718215308, -0.12744879648341118, 0.1401943379828522, 0.05250250555675577, 0.14756551022465164, -0.007762912744740108, 0.17118046190149175, -0.15809266549862316, 0.0883621542907513, 0.059314965085873195, -0.00894094156342567, 0.17371145375324665, 0.07882933356161523, 0.11991328144155501, 0.1668256562232535, 0.010960820984191823, -0.0023017441182657406, -0.32321291973998956, -0.21441847361993413, -0.18021677718875376, 0.1500597402052524, -0.11070862172464085, -0.1925159415632889, 0.41661521162300763, 0.12572788977408195, 0.19566611593236793, 0.10401641259594979, 0.22931260974691794, 0.06649910192517144, 0.06462918249218985, 0.08077010153666944, 0.08773465570993721, 0.19576196534861182, 0.0005812188180431993, -0.18040140127702323, 0.04529437084623554, 0.215296005494557]
706.3546
stdchk: A Checkpoint Storage System for Desktop Grid Computing
Checkpointing is an indispensable technique to provide fault tolerance for long-running high-throughput applications like those running on desktop grids. This paper argues that a dedicated checkpoint storage system, optimized to operate in these environments, can offer multiple benefits: reduce the load on a traditional file system, offer high-performance through specialization, and, finally, optimize data management by taking into account checkpoint application semantics. Such a storage system can present a unifying abstraction to checkpoint operations, while hiding the fact that there are no dedicated resources to store the checkpoint data. We prototype stdchk, a checkpoint storage system that uses scavenged disk space from participating desktops to build a low-cost storage system, offering a traditional file system interface for easy integration with applications. This paper presents the stdchk architecture, key performance optimizations, support for incremental checkpointing, and increased data availability. Our evaluation confirms that the stdchk approach is viable in a desktop grid setting and offers a low cost storage system with desirable performance characteristics: high write throughput and reduced storage space and network effort to save checkpoint images.
cs.DC
checkpointing is an indispensable technique to provide fault tolerance for longrunning highthroughput applications like those running on desktop grids this paper argues that a dedicated checkpoint storage system optimized to operate in these environments can offer multiple benefits reduce the load on a traditional file system offer highperformance through specialization and finally optimize data management by taking into account checkpoint application semantics such a storage system can present a unifying abstraction to checkpoint operations while hiding the fact that there are no dedicated resources to store the checkpoint data we prototype stdchk a checkpoint storage system that uses scavenged disk space from participating desktops to build a lowcost storage system offering a traditional file system interface for easy integration with applications this paper presents the stdchk architecture key performance optimizations support for incremental checkpointing and increased data availability our evaluation confirms that the stdchk approach is viable in a desktop grid setting and offers a low cost storage system with desirable performance characteristics high write throughput and reduced storage space and network effort to save checkpoint images
[['checkpointing', 'is', 'an', 'indispensable', 'technique', 'to', 'provide', 'fault', 'tolerance', 'for', 'longrunning', 'highthroughput', 'applications', 'like', 'those', 'running', 'on', 'desktop', 'grids', 'this', 'paper', 'argues', 'that', 'a', 'dedicated', 'checkpoint', 'storage', 'system', 'optimized', 'to', 'operate', 'in', 'these', 'environments', 'can', 'offer', 'multiple', 'benefits', 'reduce', 'the', 'load', 'on', 'a', 'traditional', 'file', 'system', 'offer', 'highperformance', 'through', 'specialization', 'and', 'finally', 'optimize', 'data', 'management', 'by', 'taking', 'into', 'account', 'checkpoint', 'application', 'semantics', 'such', 'a', 'storage', 'system', 'can', 'present', 'a', 'unifying', 'abstraction', 'to', 'checkpoint', 'operations', 'while', 'hiding', 'the', 'fact', 'that', 'there', 'are', 'no', 'dedicated', 'resources', 'to', 'store', 'the', 'checkpoint', 'data', 'we', 'prototype', 'stdchk', 'a', 'checkpoint', 'storage', 'system', 'that', 'uses', 'scavenged', 'disk', 'space', 'from', 'participating', 'desktops', 'to', 'build', 'a', 'lowcost', 'storage', 'system', 'offering', 'a', 'traditional', 'file', 'system', 'interface', 'for', 'easy', 'integration', 'with', 'applications', 'this', 'paper', 'presents', 'the', 'stdchk', 'architecture', 'key', 'performance', 'optimizations', 'support', 'for', 'incremental', 'checkpointing', 'and', 'increased', 'data', 'availability', 'our', 'evaluation', 'confirms', 'that', 'the', 'stdchk', 'approach', 'is', 'viable', 'in', 'a', 'desktop', 'grid', 'setting', 'and', 'offers', 'a', 'low', 'cost', 'storage', 'system', 'with', 'desirable', 'performance', 'characteristics', 'high', 'write', 'throughput', 'and', 'reduced', 'storage', 'space', 'and', 'network', 'effort', 'to', 'save', 'checkpoint', 'images']]
[-0.19269607294117416, -0.002657352334285013, -0.07397371951206508, 0.008566713594636843, -0.09333575657558349, -0.22690881715855946, 0.11734326216467857, 0.39281465042129915, -0.2901894199309376, -0.3403592120308829, 0.13283930662730026, -0.23539753908838676, -0.08859125004113141, 0.2262807569218573, -0.14930307625077327, 0.10252377322459288, 0.15863594402469325, -0.03787361319906257, -0.008564911442374716, -0.2805856415886158, 0.1937680615402895, 0.1413320720019503, 0.3423475238973391, 0.027864084210730878, 0.07272782976183999, 0.012946187264659563, -0.0019587741001893233, -0.04815708067022148, -0.03147529993725199, 0.15383431691108113, 0.34388143894141593, 0.24336630348931723, 0.3054741995184193, -0.5033818346811301, -0.18471328855497438, 0.045066945521176745, 0.1551028116458848, 0.0639392180028924, -0.10163533114328308, -0.20978456591440123, 0.11325368373049687, -0.2780913743637713, -0.06859956208437597, -0.16604684767481676, -0.022203632072008893, 0.00017060460700353577, -0.2740706498839887, -0.07003839549708502, -0.00448921330813792, 0.06883414026276119, -0.05126035845664851, -0.06818793935630219, 0.028631756396564303, 0.14865840992253632, -0.06031403286181296, 0.02997317167241021, 0.20635087147097256, -0.04101527562446492, -0.12146791231971087, 0.40641807155462645, 0.008422885865885976, -0.16345337701180035, 0.19307459296006182, 0.008757154454640245, -0.16373382480473042, 0.14257311526854327, 0.2226046826144533, 0.022566069210853197, -0.17163402979172723, 0.05797364490516457, 0.08010631021754132, 0.21784689098643928, 0.050815034586683676, 0.0859161611813473, 0.1760405546020043, 0.2848664655818441, 0.09746553926165663, 0.16766222020200752, -0.02862175380006054, -0.09425774607070758, -0.2026752905343333, -0.21497059775921543, -0.1604264169763037, -0.012388168281670345, -0.07054509834140095, -0.13891042487059146, 0.3338693785402229, 0.2178687367346243, 0.11815655019692024, 0.09872444014270175, 0.4414041908826195, 0.013284258944992671, 0.18127306017993114, 0.1449946227922804, 0.0871130165046786, -0.05240214410565838, 0.24242447468578437, -0.18589570301605945, 0.0952360004444454, -0.015121562232784295]
706.3547
Crossed products of k-graph C*-algebras by Z^l
An action of Z^l by automorphisms of a k-graph induces an action of Z^l by automorphisms of the corresponding k-graph C*-algebra. We show how to construct a (k+l)-graph whose C*-algebra coincides with the crossed product of the original k-graph algebra by Z^l. We then investigate the structure of the crossed-product C*-algebra.
math.OA
an action of zl by automorphisms of a kgraph induces an action of zl by automorphisms of the corresponding kgraph calgebra we show how to construct a klgraph whose calgebra coincides with the crossed product of the original kgraph algebra by zl we then investigate the structure of the crossedproduct calgebra
[['an', 'action', 'of', 'zl', 'by', 'automorphisms', 'of', 'a', 'kgraph', 'induces', 'an', 'action', 'of', 'zl', 'by', 'automorphisms', 'of', 'the', 'corresponding', 'kgraph', 'calgebra', 'we', 'show', 'how', 'to', 'construct', 'a', 'klgraph', 'whose', 'calgebra', 'coincides', 'with', 'the', 'crossed', 'product', 'of', 'the', 'original', 'kgraph', 'algebra', 'by', 'zl', 'we', 'then', 'investigate', 'the', 'structure', 'of', 'the', 'crossedproduct', 'calgebra']]
[-0.14985852099955083, 0.13626619384915103, -0.09054424069821834, -0.03932506596669555, -0.08454760416410863, -0.07937368905171752, -0.04808932385174557, 0.42203229188919067, -0.4384100400283933, -0.1859272133372724, 0.07012655714526772, -0.2702200720086694, -0.14341404458973556, 0.09768461234867573, -0.19749692287296056, -0.08300552084110677, 0.06902243071235717, 0.22323518383316696, -0.12484417429193854, -0.18350918361451476, 0.49941096782684324, 0.04730664353817701, 0.13674861535429955, 0.01980058481916785, 0.1270537307485938, -0.012205880833789706, -0.04366758436895907, -0.0019647653494030237, -0.16232765782624484, 0.08765727870166301, 0.16744560967199504, 0.11145593270659447, 0.17242262553889304, -0.3614640800654888, -0.09469646666198969, 0.19899749636650085, 0.07773722985759378, -0.07654732771217823, -0.01136935755610466, -0.3309990419447422, 0.07160161493346096, -0.30665190309286117, -0.1129802104504779, -0.0639445692487061, 0.08367362586781382, -0.09117452129721641, -0.2731318658369128, -0.06459356263279915, 0.15091505233198405, 0.09564643692225218, -0.09722577130421996, 0.017187048457562925, -0.16450526935979723, 0.07828687701374293, -0.08829894727095962, 0.050145645923912525, 0.1760832136310637, -0.07385586369782686, -0.2006401631468907, 0.4046597007662058, -0.09900786224752664, -0.1523326524347067, 0.0839819985628128, -0.21489164280705153, -0.14171690288931132, 0.12882089395076035, -0.009905001744627953, 0.13027579560875893, -0.0360450890113134, 0.2663958835788071, -0.1951409384049475, 0.09808034907095134, 0.022279569506645204, -0.0109471938572824, 0.06726887226104736, 0.057927087548887354, 0.11774896654300392, 0.26725666934042236, 0.10575874285772442, 0.06414721962995827, -0.33568805098533633, -0.12604977758601307, -0.10472179893404246, 0.23085853796452283, -0.10712464303709567, -0.18725292420014739, 0.4202213113754988, 0.13314419323578477, 0.2428939494676888, 0.08949344221502542, 0.19178226310759783, 0.08229711139574647, 0.07757042957819067, 0.08513526451773941, 0.09357031472027302, 0.33165982508566233, -0.1632321060821414, -0.234793718168512, -0.0800970876403153, 0.2797078404761851]
706.3548
The Impact of Stellar Oscillations on Doppler Velocity Planet Searches
We present a quantitative investigation of the effect of stellar oscillations on Doppler velocity planet searches. Using data from four asteroseismological observation campaigns, we find a power law relationship between the noise impact of these oscillations on Doppler velocities and both the luminosity-to-mass of the target stars, and observed integration times. Including the impact of oscillation jitter should improve the quality of Keplerian fits to Doppler velocity data. The scale of the effect these oscillations have on Doppler velocity measurements is smaller than that produced by stellar activity, but is most significant for giant and subgiant stars, and at short integration times (i.e. less than a few minutes). Such short observation times tend to be used only for very bright stars. However, since it is these very same stars that tend to be targeted for the highest precision observations, as planet searches probe to lower and lower planet masses, oscillation noise for these stars can be significant and needs to be accounted for in observing strategies.
astro-ph
we present a quantitative investigation of the effect of stellar oscillations on doppler velocity planet searches using data from four asteroseismological observation campaigns we find a power law relationship between the noise impact of these oscillations on doppler velocities and both the luminositytomass of the target stars and observed integration times including the impact of oscillation jitter should improve the quality of keplerian fits to doppler velocity data the scale of the effect these oscillations have on doppler velocity measurements is smaller than that produced by stellar activity but is most significant for giant and subgiant stars and at short integration times ie less than a few minutes such short observation times tend to be used only for very bright stars however since it is these very same stars that tend to be targeted for the highest precision observations as planet searches probe to lower and lower planet masses oscillation noise for these stars can be significant and needs to be accounted for in observing strategies
[['we', 'present', 'a', 'quantitative', 'investigation', 'of', 'the', 'effect', 'of', 'stellar', 'oscillations', 'on', 'doppler', 'velocity', 'planet', 'searches', 'using', 'data', 'from', 'four', 'asteroseismological', 'observation', 'campaigns', 'we', 'find', 'a', 'power', 'law', 'relationship', 'between', 'the', 'noise', 'impact', 'of', 'these', 'oscillations', 'on', 'doppler', 'velocities', 'and', 'both', 'the', 'luminositytomass', 'of', 'the', 'target', 'stars', 'and', 'observed', 'integration', 'times', 'including', 'the', 'impact', 'of', 'oscillation', 'jitter', 'should', 'improve', 'the', 'quality', 'of', 'keplerian', 'fits', 'to', 'doppler', 'velocity', 'data', 'the', 'scale', 'of', 'the', 'effect', 'these', 'oscillations', 'have', 'on', 'doppler', 'velocity', 'measurements', 'is', 'smaller', 'than', 'that', 'produced', 'by', 'stellar', 'activity', 'but', 'is', 'most', 'significant', 'for', 'giant', 'and', 'subgiant', 'stars', 'and', 'at', 'short', 'integration', 'times', 'ie', 'less', 'than', 'a', 'few', 'minutes', 'such', 'short', 'observation', 'times', 'tend', 'to', 'be', 'used', 'only', 'for', 'very', 'bright', 'stars', 'however', 'since', 'it', 'is', 'these', 'very', 'same', 'stars', 'that', 'tend', 'to', 'be', 'targeted', 'for', 'the', 'highest', 'precision', 'observations', 'as', 'planet', 'searches', 'probe', 'to', 'lower', 'and', 'lower', 'planet', 'masses', 'oscillation', 'noise', 'for', 'these', 'stars', 'can', 'be', 'significant', 'and', 'needs', 'to', 'be', 'accounted', 'for', 'in', 'observing', 'strategies']]
[-0.09160263399756233, 0.1826971992022773, -0.08099363290659904, 0.10435800286814997, -0.13532644932169513, -0.09710871937252716, 0.07756183983011912, 0.3991501040038574, -0.14982948662974052, -0.39310152988028096, 0.12155543160218049, -0.28376803291380875, -0.02587092858009848, 0.28326084174731947, -0.04218172375884199, 0.011943696700008473, 0.1389384561958891, -0.007262190007211932, -0.03672057834274349, -0.23284903389095968, 0.2513514570593806, 0.07819125130884798, 0.16632769551936044, -0.01552756519284077, 0.03960794074662838, -0.10451595660534699, -0.0754392468651016, 0.008867934508899966, -0.1242819819108482, 0.024468861166836626, 0.22331291350047947, 0.12432619168546545, 0.2291703981358603, -0.3858745308447046, -0.21275467205868406, 0.09226751563430999, 0.19217829563176675, 0.08979237198560353, -0.05395190273229235, -0.2864058828654598, 0.06760556254737887, -0.14541922044570008, -0.09667659990338003, -0.034063337452103756, 0.07343077315410307, 0.02344513881084767, -0.25994582808610184, 0.1197408458634549, 0.026774299677800813, 0.11173099920108735, -0.08294753795096943, -0.13885551692457893, -0.02984678065151829, 0.12246761127818286, 0.08153756249679185, 0.02851680498317737, 0.14166761699682437, -0.1061005434919014, -0.04036801516959242, 0.4129400912964021, -0.1375992403077088, -0.07284312731171229, 0.19672436842762203, -0.23292134185910718, -0.13963649275850123, 0.14140822898971017, 0.2182271642111107, 0.11108293996497755, -0.1402177912272872, -0.08477582429544102, 0.046026734166767405, 0.21157133696791547, 0.10007550868665777, 0.07858004362928311, 0.2979145784166653, 0.15763236769104758, 0.07024514593369137, 0.0160798806843, -0.24506145240374314, -0.022012552123023086, -0.21043237829749215, -0.08192774381121082, -0.13049962936833231, 0.06456984490007499, -0.09639635716557239, -0.08558786609939423, 0.3776474801980587, 0.15870590758206973, 0.2076137345901365, 0.059797992288830676, 0.32937874018876667, 0.1348636458650321, 0.13761626108106315, 0.0743861679010183, 0.3252038521220885, 0.12972419362386173, 0.09488378779637258, -0.250596122197661, 0.09535920258095286, -0.04351399324452841]
706.3549
On the existence of the critical point in finite density lattice QCD
We propose a method to probe the nature of phase transitions in lattice QCD at finite temperature and density, which is based on the investigation of an effective potential as a function of the average plaquette. We analyze data obtained in a simulation of two-flavor QCD using p4-improved staggered quarks with bare quark mass $m/T = 0.4$, and find that a first order phase transition line appears in the high density regime for $\mu_q/T \simge 2.5$. We also discuss the difference between the phase structures of QCD with non-zero quark chemical potential and non-zero isospin chemical potential.
hep-lat hep-ph
we propose a method to probe the nature of phase transitions in lattice qcd at finite temperature and density which is based on the investigation of an effective potential as a function of the average plaquette we analyze data obtained in a simulation of twoflavor qcd using p4improved staggered quarks with bare quark mass mt 04 and find that a first order phase transition line appears in the high density regime for mu_qt simge 25 we also discuss the difference between the phase structures of qcd with nonzero quark chemical potential and nonzero isospin chemical potential
[['we', 'propose', 'a', 'method', 'to', 'probe', 'the', 'nature', 'of', 'phase', 'transitions', 'in', 'lattice', 'qcd', 'at', 'finite', 'temperature', 'and', 'density', 'which', 'is', 'based', 'on', 'the', 'investigation', 'of', 'an', 'effective', 'potential', 'as', 'a', 'function', 'of', 'the', 'average', 'plaquette', 'we', 'analyze', 'data', 'obtained', 'in', 'a', 'simulation', 'of', 'twoflavor', 'qcd', 'using', 'p4improved', 'staggered', 'quarks', 'with', 'bare', 'quark', 'mass', 'mt', '04', 'and', 'find', 'that', 'a', 'first', 'order', 'phase', 'transition', 'line', 'appears', 'in', 'the', 'high', 'density', 'regime', 'for', 'mu_qt', 'simge', '25', 'we', 'also', 'discuss', 'the', 'difference', 'between', 'the', 'phase', 'structures', 'of', 'qcd', 'with', 'nonzero', 'quark', 'chemical', 'potential', 'and', 'nonzero', 'isospin', 'chemical', 'potential']]
[-0.12264923695329344, 0.24303195001402855, -0.11636321807842857, 0.02919318219574052, -0.0002123621767774845, -0.06412767434570317, 0.14859379967674613, 0.3788152033618341, -0.15853451789007522, -0.27340557891875505, 0.035167949479121795, -0.2833340439538006, -0.07711135369027033, 0.05297335781506263, 0.08819663138516869, 0.05271253977601494, -0.014661031387125453, 0.030051038183349494, -0.1627124722751129, -0.18427097747917287, 0.3265761623091142, -0.014820674216025509, 0.24606288051775968, 0.17012317725796797, 0.07753704632947726, -0.03783768791375527, 0.004609661734624145, -0.009533287006585548, -0.13725332038097804, -0.0014488350328368445, 0.18206119812991042, -0.04021206135560836, 0.1542960176593624, -0.3570697719672656, -0.21505481858609224, 0.10661668006165807, 0.11867757741735356, 0.13114797568778158, -0.09935778702129028, -0.24922553927293242, 0.08171150339573312, -0.19882059568772092, -0.1755457727170627, -0.12235958855262652, -0.0034497731054822602, -0.01433764211833477, -0.32175231220511097, 0.10088220428406203, -0.07568308590756108, 0.07184700488384503, -0.0217477135580945, -0.19817491922488747, -0.05864184661671364, 0.07184078312275233, 0.01967289617944819, 0.12830596497951774, 0.11072877224069089, -0.16979532290618712, -0.08958599764628161, 0.4395840757060796, -0.1296108975620882, -0.11024667479796335, 0.14072044819401222, -0.1779616605854244, -0.11150045684674599, 0.11312339124075758, 0.16913064596398422, 0.08402101565782989, -0.14300252244477937, 0.08069213297433937, 0.02047599176633715, 0.20143096606868008, 0.03269032071208736, 0.01602480722067412, 0.2417695227486547, 0.20236486132489517, 0.023951947723010864, 0.11304439523276717, -0.1074606492863192, -0.15203146914427634, -0.322597718986799, -0.11090340946490566, -0.1931475858485404, 0.02754107538506408, -0.1462372872818681, -0.17276251202080553, 0.39826105791144073, 0.15687880850843308, 0.22406181158536734, -2.0361242301684495e-05, 0.2782884847110836, 0.1304247035526108, 0.03668507586068396, 0.04307152301286502, 0.23203164830920286, 0.19654906848882092, 0.16480071999831125, -0.31546104870600783, -0.056911322033556644, 0.0996369795902865]
706.355
The mean curvature flow for isoparametric submanifolds
A submanifold in space forms is isoparametric if the normal bundle is flat and principal curvatures along any parallel normal fields are constant. We study the mean curvature flow with initial data an isoparametric submanifold in Euclidean space and sphere. We show that the mean curvature flow preserves the isoparametric condition, develops singularities in finite time, and converges in finite time to a smooth submanifold of lower dimension. We also give a precise description of the collapsing.
math.DG
a submanifold in space forms is isoparametric if the normal bundle is flat and principal curvatures along any parallel normal fields are constant we study the mean curvature flow with initial data an isoparametric submanifold in euclidean space and sphere we show that the mean curvature flow preserves the isoparametric condition develops singularities in finite time and converges in finite time to a smooth submanifold of lower dimension we also give a precise description of the collapsing
[['a', 'submanifold', 'in', 'space', 'forms', 'is', 'isoparametric', 'if', 'the', 'normal', 'bundle', 'is', 'flat', 'and', 'principal', 'curvatures', 'along', 'any', 'parallel', 'normal', 'fields', 'are', 'constant', 'we', 'study', 'the', 'mean', 'curvature', 'flow', 'with', 'initial', 'data', 'an', 'isoparametric', 'submanifold', 'in', 'euclidean', 'space', 'and', 'sphere', 'we', 'show', 'that', 'the', 'mean', 'curvature', 'flow', 'preserves', 'the', 'isoparametric', 'condition', 'develops', 'singularities', 'in', 'finite', 'time', 'and', 'converges', 'in', 'finite', 'time', 'to', 'a', 'smooth', 'submanifold', 'of', 'lower', 'dimension', 'we', 'also', 'give', 'a', 'precise', 'description', 'of', 'the', 'collapsing']]
[-0.25469246770364123, 0.10915331807544655, -0.11942371869967743, 0.05461160078124663, -0.11487768652740044, -0.10660430925063692, -0.1033248437399214, 0.4155850391593072, -0.2474058773126695, -0.14165926763830197, 0.09080703734335574, -0.27464872995367295, -0.13041819857022205, 0.11416115209024835, -0.14162965772020353, 0.0009120293445401377, 0.08425572706241306, 0.11022200463218736, -0.147710513852706, -0.27429794357007053, 0.4237770045829284, -0.028305142198677188, 0.26095295535376317, 0.07469068623341427, 0.17180174488918976, -0.016439816497217912, 0.034136782811543386, 0.0647953489890576, -0.2174915448712773, 0.0872102752811723, 0.20261221889719402, 0.07459698138794825, 0.21969677169214596, -0.3954120773773689, -0.19981479228704008, 0.19283202994016133, 0.14006504747871454, 0.0263367954689961, -0.017161004063854745, -0.23246686866918168, 0.08392985507410455, -0.0034237204409845465, -0.24026190793117533, -0.07771914660350068, 0.019287404840110572, -0.03878330368270445, -0.2079036154893118, 0.0873634424812747, 0.09489883035693511, 0.1344603154106767, -0.11573466422133051, -0.05290097502580324, -0.07703249379024878, 0.05925070369077919, 0.04287399292935605, 0.10186867656899834, 0.09959331799718829, -0.04830875748453976, -0.021789782487049505, 0.3561337405706865, -0.15495324488154721, -0.33923817486441754, 0.09469289539454433, -0.17370010457642668, -0.05045990522213087, 0.1686974501225178, 0.18450258261004052, 0.16106162873374952, -0.045092004696028185, 0.19200710387214076, -0.04190694479054058, 0.07785935610436, 0.08962041709281794, -0.07097834677060509, 0.1277754782130579, 0.1273203536553623, 0.1863817394916694, 0.11288843073507214, -0.08507167267334925, -0.09617133932067203, -0.42034576315577926, -0.3076966071573945, -0.1727284152762263, 0.12852983134375376, -0.2023991252737522, -0.2288082568821582, 0.3609231065160462, 0.00034630420774995507, 0.24982874637300317, 0.12818877899704814, 0.31209395453333855, 0.03330379050805584, 0.01770200050895574, 0.18762701296235446, 0.1839388444106542, 0.17582909900743465, 0.025708832378898348, -0.1150720818482291, -0.045336213083816815, 0.13191117554322465]
706.3551
Supernovae as Probes of Extra Dimensions
Since the dawn of the new millennium, there has been a revived interest in the concept of extra dimensions.In this scenario all the standard model matter and gauge fields are confined to the 4 dimensions and only gravity can escape to higher dimensions of the universe.This idea can be tested using table-top experiments, collider experiments, astrophysical or cosmological observations. The main astrophysical constraints come from the cooling rate of supernovae, neutron stars, red giants and the sun. In this article, we consider the energy loss mechanism of SN1987A and study the constraints it places on the number and size of extra dimensions and the higher dimensional Planck scale.
hep-ph
since the dawn of the new millennium there has been a revived interest in the concept of extra dimensionsin this scenario all the standard model matter and gauge fields are confined to the 4 dimensions and only gravity can escape to higher dimensions of the universethis idea can be tested using tabletop experiments collider experiments astrophysical or cosmological observations the main astrophysical constraints come from the cooling rate of supernovae neutron stars red giants and the sun in this article we consider the energy loss mechanism of sn1987a and study the constraints it places on the number and size of extra dimensions and the higher dimensional planck scale
[['since', 'the', 'dawn', 'of', 'the', 'new', 'millennium', 'there', 'has', 'been', 'a', 'revived', 'interest', 'in', 'the', 'concept', 'of', 'extra', 'dimensionsin', 'this', 'scenario', 'all', 'the', 'standard', 'model', 'matter', 'and', 'gauge', 'fields', 'are', 'confined', 'to', 'the', '4', 'dimensions', 'and', 'only', 'gravity', 'can', 'escape', 'to', 'higher', 'dimensions', 'of', 'the', 'universethis', 'idea', 'can', 'be', 'tested', 'using', 'tabletop', 'experiments', 'collider', 'experiments', 'astrophysical', 'or', 'cosmological', 'observations', 'the', 'main', 'astrophysical', 'constraints', 'come', 'from', 'the', 'cooling', 'rate', 'of', 'supernovae', 'neutron', 'stars', 'red', 'giants', 'and', 'the', 'sun', 'in', 'this', 'article', 'we', 'consider', 'the', 'energy', 'loss', 'mechanism', 'of', 'sn1987a', 'and', 'study', 'the', 'constraints', 'it', 'places', 'on', 'the', 'number', 'and', 'size', 'of', 'extra', 'dimensions', 'and', 'the', 'higher', 'dimensional', 'planck', 'scale']]
[-0.07858385259004415, 0.19101250862245853, -0.05996008282749725, 0.0962453417914902, -0.10488590133763007, -0.09303424421056472, 0.021607665529580048, 0.2934202536026824, -0.19825659617605917, -0.35543180664755264, 0.10747854755796, -0.2725385402171117, -0.060404644833157224, 0.2053112471717814, -0.023776628676747555, 0.029851730919513358, 0.05084078422448826, 0.01777723747885452, -0.03152017285695897, -0.3305503013752454, 0.3288559545653011, 0.11641076827456928, 0.22525211592657352, 0.03243639978650465, 0.10361699549094686, -0.11007515888195485, -0.06040278099969311, -0.0005297809971039587, -0.13110476026293943, 0.09595948298690173, 0.18490951006819126, 0.16780373841998572, 0.2071378070966534, -0.4424413351346475, -0.2877018311025821, 0.1310541718925859, 0.13522096093577105, 0.11848166216832567, -0.08253712062218736, -0.27994673263571523, 0.04477678589250471, -0.19644110060938336, -0.1293705957996624, 0.015627151384800322, -0.010443220846354961, -0.03508625566335571, -0.24466584579368947, 0.06344253364357359, 0.016866738676260453, 0.02377426542587719, -0.06816790164624043, -0.11053361973334279, -0.01721380877238259, 0.07098137166676165, 0.11400791410716989, 0.014133909198824526, 0.13332304793831734, -0.161384478658737, -0.10308531291325981, 0.43001155337353925, -0.0618087596804747, -0.10327504337589555, 0.25071591860175413, -0.20758840166590228, -0.15655903485252187, 0.07715242193519788, 0.19740343733497387, 0.10615723645138853, -0.13079954403065988, 0.13618144114998187, -0.043012173117120876, 0.16563047313148965, 0.09893876413445708, 0.04114382455942555, 0.2880386593400167, 0.17586827654180662, 0.026005321841265232, 0.07548914611106738, -0.16262081040306683, -0.05817385472660392, -0.31083172753800303, -0.1246349255110682, -0.1520881318972657, 0.05232533922129012, -0.11090276004084307, -0.06405890710159855, 0.3376541277923608, 0.16441769489111327, 0.1726841416587737, -0.004207861196812031, 0.313018769078519, 0.07865760555350275, 0.1046549210817452, 0.04429028625421573, 0.3135126780736137, 0.12040465417411947, 0.10795528657145728, -0.20797792265745196, -0.015615680580080117, 0.04179053137272175]
706.3552
Strongly enhanced effective mass in dilute two-dimensional electron systems: System-independent origin
We measure the effective mass in a dilute two-dimensional electron system in (111)-silicon by analyzing temperature dependence of the Shubnikov-de Haas oscillations in the low-temperature limit. A strong enhancement of the effective mass with decreasing electron density is observed. The mass renormalization as a function of the interaction parameter r_s is in good agreement with that reported for (100)-silicon, which shows that the relative mass enhancement is system- and disorder-independent being determined by electron-electron interactions only.
cond-mat.str-el
we measure the effective mass in a dilute twodimensional electron system in 111silicon by analyzing temperature dependence of the shubnikovde haas oscillations in the lowtemperature limit a strong enhancement of the effective mass with decreasing electron density is observed the mass renormalization as a function of the interaction parameter r_s is in good agreement with that reported for 100silicon which shows that the relative mass enhancement is system and disorderindependent being determined by electronelectron interactions only
[['we', 'measure', 'the', 'effective', 'mass', 'in', 'a', 'dilute', 'twodimensional', 'electron', 'system', 'in', '111silicon', 'by', 'analyzing', 'temperature', 'dependence', 'of', 'the', 'shubnikovde', 'haas', 'oscillations', 'in', 'the', 'lowtemperature', 'limit', 'a', 'strong', 'enhancement', 'of', 'the', 'effective', 'mass', 'with', 'decreasing', 'electron', 'density', 'is', 'observed', 'the', 'mass', 'renormalization', 'as', 'a', 'function', 'of', 'the', 'interaction', 'parameter', 'r_s', 'is', 'in', 'good', 'agreement', 'with', 'that', 'reported', 'for', '100silicon', 'which', 'shows', 'that', 'the', 'relative', 'mass', 'enhancement', 'is', 'system', 'and', 'disorderindependent', 'being', 'determined', 'by', 'electronelectron', 'interactions', 'only']]
[-0.18567618898846008, 0.20798237826926885, -0.06529675718047656, 0.0770364753206613, 0.039127125971119954, -0.09803012689902775, 0.047389318757514294, 0.306181923360438, -0.1726983367792658, -0.3530811779877498, -0.0051403178178982155, -0.3351616463749795, -0.08667366246919374, 0.21451730886474252, 0.033300338407374314, 0.03911960180974691, 0.01049579113621164, 0.026582768149170523, -0.12694965634570532, -0.15043323149438947, 0.3134944578318076, 0.10082785749958979, 0.2944059657637735, 0.13369623594288085, 0.062134558712509835, 0.02997734064750123, 0.06021590812707547, 0.08263719539359413, -0.15234774919942562, -0.005779013604026388, 0.20471833398442943, -0.0785441735658694, 0.19544844268947034, -0.31108975952893897, -0.21055460930172656, 0.02386107322180996, 0.17750271534345843, 0.10049298410524136, -0.1169447876273881, -0.2519370982694012, 0.010566020724237771, -0.18391597132525733, -0.149024056457927, -0.05968306172085372, 0.05630819992841901, 0.0013339037226664054, -0.30870131240855603, 0.2094893901745751, -0.002401277538828671, 0.058556483492154525, -0.07622489859224171, -0.07951706051008424, -0.05327432845542963, 0.0632336552921884, 0.09399491668414525, 0.0799645640371317, 0.18627470836194382, -0.1280777250995507, -0.016492018866277224, 0.3456156291791263, -0.17026489922097204, -0.09826500623957317, 0.16018383498177738, -0.2408860653789865, -0.06701213079882232, 0.1709663460433886, 0.09935645410488989, 0.049956621797251945, -0.16358335985726602, 0.11656335570040864, -0.06817289282775459, 0.20336803593326713, 0.040736448007157526, 0.05326757242663597, 0.2341170150635613, 0.2147141056531738, 0.02721176652640507, 0.03925627974692632, -0.1043131819145905, -0.03214315087786196, -0.20905657709148284, -0.12714416261863065, -0.22552008849153346, 0.05326775777329867, -0.11026516625940064, -0.16759078028435642, 0.378762666683493, 0.14990310158228148, 0.2761527202469674, 0.005591492069494986, 0.2896956776747027, 0.19117245509610134, 0.09165303565316356, 0.028381135125921386, 0.30534034933441795, 0.17577902479034319, 0.08739034446409426, -0.3410406977919912, 0.05406052120206122, 0.03247200024654032]
706.3553
L\'evy Statistics and Anomalous Transport: L\'evy flights and Subdiffusion
Levy flights and subdiffusive processes and their properties are discussed. We derive the space- and time-fractional transport equations, and consider their solutions in external potentials. An extensive list of references is included.
cond-mat.stat-mech
levy flights and subdiffusive processes and their properties are discussed we derive the space and timefractional transport equations and consider their solutions in external potentials an extensive list of references is included
[['levy', 'flights', 'and', 'subdiffusive', 'processes', 'and', 'their', 'properties', 'are', 'discussed', 'we', 'derive', 'the', 'space', 'and', 'timefractional', 'transport', 'equations', 'and', 'consider', 'their', 'solutions', 'in', 'external', 'potentials', 'an', 'extensive', 'list', 'of', 'references', 'is', 'included']]
[-0.16684712347341701, 0.15299405887026296, -0.01691498013678938, 0.10476554515844327, -0.07223761504792492, -0.11669997486751527, 0.01726971019525081, 0.4590678781969473, -0.26454758084582863, -0.2477787427487783, 0.14023263653143658, -0.35109412303427234, -0.1528815269120969, 0.18078950292692753, -0.027741040161345154, 0.08448726186179556, 0.009215128287905827, -0.05556275361959706, 0.003185999230481684, -0.23768403719441267, 0.28937892336398363, 0.027188370644580573, 0.17701162936282344, 0.014473577350145206, 0.11756916157901287, -0.04353884448937606, -0.16441320395097136, -0.05960230591972504, -0.23003687371965498, 0.03840474292519502, 0.19639223720878363, 0.03301452344749123, 0.22711743041872978, -0.4659015662618913, -0.2492639215415693, 0.06755876436363906, 0.13088266518025193, 0.08761172444792464, -0.061849840596551076, -0.3549421748612076, -0.02536082613369217, -0.12012973008677363, -0.20652386726578698, -0.13833710009930655, 0.10352790908655152, 0.17915240206639282, -0.23566372455388773, 0.08937652813619934, 0.05682799036731012, 0.06279640831053257, -0.16077225914341398, -0.15087460773065686, 0.006032471370417625, 0.1215748737740796, 0.0685765278431063, -0.11118673352757469, 0.13505126438394655, -0.15402947380789556, -0.16440314319333993, 0.41403136326698586, -0.03568892656767275, -0.2904014551313594, 0.21286737092304975, -0.13409107577172108, -0.0712086550101958, 0.12302304683544207, 0.20456473114609253, 0.15202616795431823, -0.26949379371944815, 0.13262692291027633, 0.05797279952093959, 0.03208379857824184, 0.03418724563380238, 0.05712670512730256, 0.0836638659966411, 0.11835149419493973, 0.05759704107185826, 0.1484220955753699, -0.020602124495781027, -0.17435119190486148, -0.3608001619577408, -0.16177759144920856, -0.11242627912724856, 0.04413860270869918, -0.09944937043292157, -0.17644447123166174, 0.3372567244950915, 0.14622533079818822, 0.11255127540789545, 0.04291159112472087, 0.15648147655883804, 0.21185541583690792, -0.10204408063873416, 0.09888147767924238, 0.14456942555261776, 0.15791448584059253, 0.20282286178553477, -0.19756924755347427, 0.05176304445194546, 0.051243373680335935]
706.3554
Testing gravity with motion of satellites around galaxies: Newtonian gravity against Modified Newtonian Dynamics
The motion of satellite galaxies around normal galaxies at distances 50-500 kpc provides a sensitive test for the theories. We study the surface density and the velocities of satellites around isolated galaxies in the Sloan Digital Sky Survey. We find that the surface number-density of satellites declines with the projected distance as a power law with the slope -1.5-2. The rms velocities gradually decline: observations exclude constant velocities at a 10 sigma level. We show that observational data strongly favor the standard model: all three major statistics of satellites - the number-density profile, the line-of-sight velocity dispersion, and the distribution function of the velocities -- agree remarkably well with the predictions of the standard cosmological model. Thus, that the success of the standard model extends to scales (50-500) kpc, much lower than what was previously considered. MOND fails on these scales for models which assume any single power-law number-density profile of satellites and any constant velocity anisotropy by predicting nearly constant rms velocities of satellites. Satellite data can be fit by fine-tuned models, which require (1) specific non-power-law density profile, (2) very radial orbits at large distances (velocity anisotropy beta =0.6-0.7 at 200-300 kpc), and (3) 2-2.5 times more stellar mass than what is found in the galaxies. The external gravity force - a necessary component for MOND -- makes the situation even worse. We argue that a combination of satellite data and observational constraints on stellar masses make these models very problematic.
astro-ph
the motion of satellite galaxies around normal galaxies at distances 50500 kpc provides a sensitive test for the theories we study the surface density and the velocities of satellites around isolated galaxies in the sloan digital sky survey we find that the surface numberdensity of satellites declines with the projected distance as a power law with the slope 152 the rms velocities gradually decline observations exclude constant velocities at a 10 sigma level we show that observational data strongly favor the standard model all three major statistics of satellites the numberdensity profile the lineofsight velocity dispersion and the distribution function of the velocities agree remarkably well with the predictions of the standard cosmological model thus that the success of the standard model extends to scales 50500 kpc much lower than what was previously considered mond fails on these scales for models which assume any single powerlaw numberdensity profile of satellites and any constant velocity anisotropy by predicting nearly constant rms velocities of satellites satellite data can be fit by finetuned models which require 1 specific nonpowerlaw density profile 2 very radial orbits at large distances velocity anisotropy beta 0607 at 200300 kpc and 3 225 times more stellar mass than what is found in the galaxies the external gravity force a necessary component for mond makes the situation even worse we argue that a combination of satellite data and observational constraints on stellar masses make these models very problematic
[['the', 'motion', 'of', 'satellite', 'galaxies', 'around', 'normal', 'galaxies', 'at', 'distances', '50500', 'kpc', 'provides', 'a', 'sensitive', 'test', 'for', 'the', 'theories', 'we', 'study', 'the', 'surface', 'density', 'and', 'the', 'velocities', 'of', 'satellites', 'around', 'isolated', 'galaxies', 'in', 'the', 'sloan', 'digital', 'sky', 'survey', 'we', 'find', 'that', 'the', 'surface', 'numberdensity', 'of', 'satellites', 'declines', 'with', 'the', 'projected', 'distance', 'as', 'a', 'power', 'law', 'with', 'the', 'slope', '152', 'the', 'rms', 'velocities', 'gradually', 'decline', 'observations', 'exclude', 'constant', 'velocities', 'at', 'a', '10', 'sigma', 'level', 'we', 'show', 'that', 'observational', 'data', 'strongly', 'favor', 'the', 'standard', 'model', 'all', 'three', 'major', 'statistics', 'of', 'satellites', 'the', 'numberdensity', 'profile', 'the', 'lineofsight', 'velocity', 'dispersion', 'and', 'the', 'distribution', 'function', 'of', 'the', 'velocities', 'agree', 'remarkably', 'well', 'with', 'the', 'predictions', 'of', 'the', 'standard', 'cosmological', 'model', 'thus', 'that', 'the', 'success', 'of', 'the', 'standard', 'model', 'extends', 'to', 'scales', '50500', 'kpc', 'much', 'lower', 'than', 'what', 'was', 'previously', 'considered', 'mond', 'fails', 'on', 'these', 'scales', 'for', 'models', 'which', 'assume', 'any', 'single', 'powerlaw', 'numberdensity', 'profile', 'of', 'satellites', 'and', 'any', 'constant', 'velocity', 'anisotropy', 'by', 'predicting', 'nearly', 'constant', 'rms', 'velocities', 'of', 'satellites', 'satellite', 'data', 'can', 'be', 'fit', 'by', 'finetuned', 'models', 'which', 'require', '1', 'specific', 'nonpowerlaw', 'density', 'profile', '2', 'very', 'radial', 'orbits', 'at', 'large', 'distances', 'velocity', 'anisotropy', 'beta', '0607', 'at', '200300', 'kpc', 'and', '3', '225', 'times', 'more', 'stellar', 'mass', 'than', 'what', 'is', 'found', 'in', 'the', 'galaxies', 'the', 'external', 'gravity', 'force', 'a', 'necessary', 'component', 'for', 'mond', 'makes', 'the', 'situation', 'even', 'worse', 'we', 'argue', 'that', 'a', 'combination', 'of', 'satellite', 'data', 'and', 'observational', 'constraints', 'on', 'stellar', 'masses', 'make', 'these', 'models', 'very', 'problematic']]
[-0.09983909842787139, 0.12857856517209512, -0.10423491318480241, 0.12771556616875746, -0.08098519279543272, -0.1114125221862485, 0.008550855666243131, 0.3750329699024371, -0.17140492571471064, -0.38139507618331386, 0.031710093924736754, -0.29447403639188685, -0.012221509151386728, 0.2163834645837608, -0.00934152549452238, -0.0005017218109859333, 0.04881643758361933, -0.025718967505793038, -0.07701600280689723, -0.2530693627551011, 0.280977178066891, 0.07661164193082928, 0.22029909418718538, -0.0584680263492986, 0.07955124546728919, -0.07045840647921091, -0.051521532432367116, 0.020348853229498295, -0.18572886132941557, 0.03266492089700873, 0.172877383727305, 0.08600365108260924, 0.22038257959255925, -0.3583204827610419, -0.22297076982149863, 0.08418259878787036, 0.17270794186826843, 0.07074121087614182, -0.027529744353745948, -0.2630440065496948, 0.057398356320959944, -0.18292683094572354, -0.22848811786559461, 0.039758281443252476, 0.07341754644384382, 0.02338035640337945, -0.20582665279351767, 0.2114017547890505, 0.007403992466062549, 0.10945759924463772, -0.09268558027113644, -0.1315318025769393, -0.07115266994265333, 0.05779823659437954, 0.0689025001915047, 0.08213408383461412, 0.19537664636144916, -0.15014137054314236, 0.023648164153223756, 0.4312646108636609, -0.10021710045751141, -0.0684407061661465, 0.2013300242619472, -0.2238693449653054, -0.1262059251497262, 0.104039823586242, 0.1553166947915963, 0.05545217890081616, -0.11793823264321024, 0.03588583632679188, -0.025125525812871724, 0.24389132806811106, 0.06821928365802915, 0.001581757163792599, 0.2998722667014811, 0.06411122782379934, 0.10625076071635886, -0.02233883564820256, -0.23045699311241072, -0.04268156497682753, -0.2478736068227301, -0.06327532662349562, -0.14123129724499586, 0.045174519884084434, -0.1711050000858944, -0.09445653703827489, 0.34172071254652414, 0.13869174560012001, 0.27026179505640713, 0.160036578966367, 0.3290709870590762, 0.07756834569685239, 0.13409102822178545, 0.1250563952311967, 0.2963786191603161, 0.11253756276043482, 0.0601655407740528, -0.18406055192657939, 0.061195525779972386, -0.036969621593685956]
706.3555
A formula for the hypergeometric function of type $BC_n$
Formulae of Berezin and Karpelevic for the radial parts of invariant differential operators and the spherical function on a complex Grassmann manifold are generalized to the hypergeometric functions associated with root system of type $BC_n$ under condition that the multiplicity of the middle roots is zero or one.
math.RT math.QA
formulae of berezin and karpelevic for the radial parts of invariant differential operators and the spherical function on a complex grassmann manifold are generalized to the hypergeometric functions associated with root system of type bc_n under condition that the multiplicity of the middle roots is zero or one
[['formulae', 'of', 'berezin', 'and', 'karpelevic', 'for', 'the', 'radial', 'parts', 'of', 'invariant', 'differential', 'operators', 'and', 'the', 'spherical', 'function', 'on', 'a', 'complex', 'grassmann', 'manifold', 'are', 'generalized', 'to', 'the', 'hypergeometric', 'functions', 'associated', 'with', 'root', 'system', 'of', 'type', 'bc_n', 'under', 'condition', 'that', 'the', 'multiplicity', 'of', 'the', 'middle', 'roots', 'is', 'zero', 'or', 'one']]
[-0.1790667584443346, 0.07474702591044913, -0.08616526266361804, 0.10217791876230548, -0.10628986374990261, -0.13252739734115435, -0.05787235080943185, 0.2656708718772898, -0.27102069883666774, -0.191462682599717, 0.12469724956107267, -0.28519088744701065, -0.17117155666780123, 0.19945038739651283, -0.07093014101562228, 0.05412193538343653, 0.04229898857785032, 0.14978473398715575, -0.17081049868856815, -0.22993887013735922, 0.48240310044840296, -0.032792653306387365, 0.1857109709662643, 0.010843347702323994, 0.16057014560445826, 0.023446868089562718, 0.006035772409844905, -0.0606167529650191, -0.08984405139756532, 0.1254096370477705, 0.1855056042129055, 0.08955699201125869, 0.20624197246704964, -0.3712496045342785, -0.09508807017923669, 0.1608972049694746, 0.1370399229208681, -0.03964318479708535, 0.056745589292172265, -0.2629796306285611, 0.08112336696185013, -0.15320249813351225, -0.2677734019581546, -0.03547046943864924, 0.04118834063410759, 0.10005381172324748, -0.27662432269054527, 0.1020695225414919, 0.08581718184212421, 0.12023415511592905, -0.10321293471064022, -0.17939530796262415, -0.06317023951758413, 0.06622993416509572, 0.006731373669104057, 0.0005828664697548176, 0.09775969859688206, -0.11074751516757038, -0.07752379627422766, 0.31658009933109615, -0.019541256422018434, -0.3603615993039405, 0.12660043145668634, -0.20749012192592342, -0.12171175312052698, 0.12107519313019324, 0.13881337452442088, 0.14017802227209222, -0.10062777052851433, 0.12575426909507828, -0.05509422853232381, 0.06856508842332566, 0.10707782342673298, 0.0049115107196601145, 0.14543992976479708, 0.004187910322179186, 0.07972002320704942, 0.15141125078848067, -0.03668263821709069, -0.13698124572476175, -0.35073067469799774, -0.22656553217824152, -0.15820163367359472, 0.08000763477955727, -0.12469865640246389, -0.2283555862909936, 0.43926369402795395, -0.03427823607195565, 0.1878581926068093, 0.09963668375573259, 0.2500203541935758, 0.22277718294966728, 0.1328803607203225, -0.01329727175587013, 0.09675310362883388, 0.24203557674178577, 0.06851955222187593, -0.19875976317463087, 0.0026398661764378242, 0.19704987869617788]
706.3556
Quantum Oscillations in Magnetic Field Induced Antiferromagnetic Phase of Underdoped Cuprates : Application to Ortho-II YBa2Cu3O6.5
Magnetic field induced antiferromagnetic phase of the underdoped cuprates is studied within the t-t'-J model. A magnetic field suppresses the pairing amplitude, which in turn may induce antiferromagnetism. We apply our theory to interpret the recently reported quantum oscillations in high magnetic field in ortho-II YBa2Cu3O6.5 and propose that the total hole density abstracted from the oscillation period is reduced by 50% due to the antiferromagnetism.
cond-mat.supr-con
magnetic field induced antiferromagnetic phase of the underdoped cuprates is studied within the ttj model a magnetic field suppresses the pairing amplitude which in turn may induce antiferromagnetism we apply our theory to interpret the recently reported quantum oscillations in high magnetic field in orthoii yba2cu3o65 and propose that the total hole density abstracted from the oscillation period is reduced by 50 due to the antiferromagnetism
[['magnetic', 'field', 'induced', 'antiferromagnetic', 'phase', 'of', 'the', 'underdoped', 'cuprates', 'is', 'studied', 'within', 'the', 'ttj', 'model', 'a', 'magnetic', 'field', 'suppresses', 'the', 'pairing', 'amplitude', 'which', 'in', 'turn', 'may', 'induce', 'antiferromagnetism', 'we', 'apply', 'our', 'theory', 'to', 'interpret', 'the', 'recently', 'reported', 'quantum', 'oscillations', 'in', 'high', 'magnetic', 'field', 'in', 'orthoii', 'yba2cu3o65', 'and', 'propose', 'that', 'the', 'total', 'hole', 'density', 'abstracted', 'from', 'the', 'oscillation', 'period', 'is', 'reduced', 'by', '50', 'due', 'to', 'the', 'antiferromagnetism']]
[-0.2165998034955313, 0.27803687083845335, -0.015805913163631252, 0.09396309232353374, -0.06023403807458552, -0.07546566770355584, 0.0906019218311871, 0.3078161694222327, -0.25483056509189983, -0.30834863606529933, -0.025358064288880225, -0.2758494586239315, -0.14243966365712835, 0.1546748441778067, 0.00985769018403847, -0.05563373481290358, -0.07904164982733852, 0.0329566015720819, -0.11370226619130169, -0.21655882396170814, 0.25847892318570026, 0.033949744896469354, 0.3389388354015396, 0.041559640120602016, 0.0019444585989483378, 0.016876814160213777, 0.11812682973113349, 0.06602618304278815, -0.1505330943626618, 0.008932546359684431, 0.28939543068973406, -0.054454882657437614, 0.18594961743237395, -0.45217869154205825, -0.25487360342716175, 0.018106857399371536, 0.14256064121075201, 0.18535394075319567, -0.06829630666779297, -0.2993228309505591, 0.05263264203147793, -0.17869709831464922, -0.12676287135620828, -0.11787814264552611, -0.025019038837247837, -0.04729920813362255, -0.2658636822139449, 0.166567304115178, 0.054797750721318705, 0.07346068733287128, -0.12535963006402281, -0.06459664327628685, -0.07239926223657235, -0.002604449259568796, 0.10929217992992507, 0.19022658611930005, 0.13456625648012216, -0.09380398157306692, -0.1176921716383235, 0.30018490743752796, -0.06444546502351647, -0.023568278601901096, 0.09821400234024182, -0.23680929601841577, -0.06668852987191216, 0.1972910684646305, 0.11353831501169638, 0.03528048880539383, -0.11034941559685676, 0.11406137991721291, -0.009702172731825462, 0.20072847980102806, 0.021882055754152436, 0.05878302258100699, 0.2855287068946795, 0.1862592136497948, 0.03482020034271321, 0.13130844271544254, -0.17614654778982652, -0.08254816778582719, -0.20225049648433924, -0.08809373663230376, -0.1768123855475675, 0.02927596635642906, -0.033866635897456115, -0.19195257468769947, 0.39918419377257425, 0.22108898504644237, 0.20644673277539285, -0.1262942575549735, 0.21499528531267337, 0.11344343554546041, 0.09219682568646297, 0.041741377405935164, 0.30622060596237355, 0.24160742254885423, 0.16390092795093855, -0.3322058882754804, 0.06600617541169579, 0.026678000686153995]
706.3557
Datta-Das type spin-field effect transistor in non-ballistic regime
It is revealed that in spin helix state of (001) quantum well system, strong suppression of D'yakonov-Perel' spin relaxation process occurs by an interplay between Rashba and Dresselhaus couplings over a wide range of Rashba coupling strength. Contrary to common belief in early works, this leads to the finding that Datta-Das type spin-field effect transistor is actually applicable to more realistic non-ballistic transport regime in two dimensional electron gas system.
cond-mat.other
it is revealed that in spin helix state of 001 quantum well system strong suppression of dyakonovperel spin relaxation process occurs by an interplay between rashba and dresselhaus couplings over a wide range of rashba coupling strength contrary to common belief in early works this leads to the finding that dattadas type spinfield effect transistor is actually applicable to more realistic nonballistic transport regime in two dimensional electron gas system
[['it', 'is', 'revealed', 'that', 'in', 'spin', 'helix', 'state', 'of', '001', 'quantum', 'well', 'system', 'strong', 'suppression', 'of', 'dyakonovperel', 'spin', 'relaxation', 'process', 'occurs', 'by', 'an', 'interplay', 'between', 'rashba', 'and', 'dresselhaus', 'couplings', 'over', 'a', 'wide', 'range', 'of', 'rashba', 'coupling', 'strength', 'contrary', 'to', 'common', 'belief', 'in', 'early', 'works', 'this', 'leads', 'to', 'the', 'finding', 'that', 'dattadas', 'type', 'spinfield', 'effect', 'transistor', 'is', 'actually', 'applicable', 'to', 'more', 'realistic', 'nonballistic', 'transport', 'regime', 'in', 'two', 'dimensional', 'electron', 'gas', 'system']]
[-0.2527404061111156, 0.18441718018002576, -0.005095091009778636, 0.05511953879875883, -0.06231093036809138, -0.23063898395879992, 0.007976412911167635, 0.3860907208041421, -0.28169071434863974, -0.27667420511133967, -0.08052214706549421, -0.22142910828281726, -0.14625938440273914, 0.24670626164547035, 0.02393456794587629, -0.02426829118547695, -0.014441231485190137, -0.08478913805447519, -0.08057687147520483, -0.23063805878628046, 0.3000926324299404, 0.03361489057507632, 0.3243193609107818, 0.09301369282683092, 0.06355296930830394, 0.0635124722429152, 0.17849055376302983, -0.0065423667963062015, -0.1139011415729848, -0.017872802803425916, 0.24341413560988648, -0.09284573663026094, 0.20876001212745904, -0.4238819055791412, -0.22748917653890594, 0.008572525464530502, 0.1660255391416805, 0.17855270147057517, -0.02926464656006179, -0.2410559714372669, -0.01152370115076857, -0.24062702634504862, -0.10477043989979262, -0.042466053180396555, 0.04505034267702805, -0.06407981189633054, -0.2887736850285104, 0.1410999394953251, 0.11386476084423651, 0.04211999637606953, -0.04565205071786685, -0.06486369867343456, -0.033011656031677765, 0.02688259638047644, 0.08863747532970072, 0.08250510997770887, 0.19129953291267157, -0.12162653150371625, -0.13646974926149205, 0.347824838102263, -0.0898160537322318, -0.15674146095822963, 0.23197535934325839, -0.19028537850161747, -0.03837595439649054, 0.16767728189006448, 0.13917261411302856, 0.07985336413008294, -0.15633654935019356, 0.08581955383581641, 0.0006284110248088836, 0.15581439468743546, 0.0005615196456866605, 0.10847120766660996, 0.27023798619796124, 0.2112827112366046, 0.06673057407939008, 0.0940054207175438, -0.12470237523583429, -0.1653747746853956, -0.19053447274491192, -0.11977983765037996, -0.20073213127574752, 0.15137752226686904, -0.07148233178450028, -0.14871972714816886, 0.3647256064827421, 0.19814684823005727, 0.14830967797897757, -0.060634294597964204, 0.23579053966594593, 0.10677641090338251, 0.06018934284469911, 0.001350040198303759, 0.3066710246460778, 0.21699900539658432, 0.08152716983874728, -0.3387099024906222, 0.10072956706530281, -0.02504458098971684]
706.3558
A phase transition behavior for Brownian motions interacting through their ranks
Consider a time-varying collection of n points on the positive real axis, modeled as exponentials of n Brownian motions whose drift vector at every time point is determined by the relative ranks of the coordinate processes at that time. If at each time point we divide the points by their sum, under suitable assumptions the rescaled point process converges to a stationary distribution (depending on n and the vector of drifts) as time goes to infinity. This stationary distribution can be exactly computed using a recent result of Pal and Pitman. The model and the rescaled point process are both central objects of study in models of equity markets introduced by Banner, Fernholz, and Karatzas. In this paper, we look at the behavior of this point process under the stationary measure as $n$ tends to infinity. Under a certain `continuity at the edge' condition on the drifts, we show that one of the following must happen: either (i) all points converge to zero, or (ii) the maximum goes to one and the rest go to zero, or (iii) the processes converge in law to a non-trivial Poisson-Dirichlet distribution. The proof employs, among other things, techniques from Talagrand's analysis of the low temperature phase of Derrida's Random Energy Model of spin glasses. The main result establishes a universality property for the BFK models and aids in explicit asymptotic computations using known results about the Poisson-Dirichlet law.
math.PR
consider a timevarying collection of n points on the positive real axis modeled as exponentials of n brownian motions whose drift vector at every time point is determined by the relative ranks of the coordinate processes at that time if at each time point we divide the points by their sum under suitable assumptions the rescaled point process converges to a stationary distribution depending on n and the vector of drifts as time goes to infinity this stationary distribution can be exactly computed using a recent result of pal and pitman the model and the rescaled point process are both central objects of study in models of equity markets introduced by banner fernholz and karatzas in this paper we look at the behavior of this point process under the stationary measure as n tends to infinity under a certain continuity at the edge condition on the drifts we show that one of the following must happen either i all points converge to zero or ii the maximum goes to one and the rest go to zero or iii the processes converge in law to a nontrivial poissondirichlet distribution the proof employs among other things techniques from talagrands analysis of the low temperature phase of derridas random energy model of spin glasses the main result establishes a universality property for the bfk models and aids in explicit asymptotic computations using known results about the poissondirichlet law
[['consider', 'a', 'timevarying', 'collection', 'of', 'n', 'points', 'on', 'the', 'positive', 'real', 'axis', 'modeled', 'as', 'exponentials', 'of', 'n', 'brownian', 'motions', 'whose', 'drift', 'vector', 'at', 'every', 'time', 'point', 'is', 'determined', 'by', 'the', 'relative', 'ranks', 'of', 'the', 'coordinate', 'processes', 'at', 'that', 'time', 'if', 'at', 'each', 'time', 'point', 'we', 'divide', 'the', 'points', 'by', 'their', 'sum', 'under', 'suitable', 'assumptions', 'the', 'rescaled', 'point', 'process', 'converges', 'to', 'a', 'stationary', 'distribution', 'depending', 'on', 'n', 'and', 'the', 'vector', 'of', 'drifts', 'as', 'time', 'goes', 'to', 'infinity', 'this', 'stationary', 'distribution', 'can', 'be', 'exactly', 'computed', 'using', 'a', 'recent', 'result', 'of', 'pal', 'and', 'pitman', 'the', 'model', 'and', 'the', 'rescaled', 'point', 'process', 'are', 'both', 'central', 'objects', 'of', 'study', 'in', 'models', 'of', 'equity', 'markets', 'introduced', 'by', 'banner', 'fernholz', 'and', 'karatzas', 'in', 'this', 'paper', 'we', 'look', 'at', 'the', 'behavior', 'of', 'this', 'point', 'process', 'under', 'the', 'stationary', 'measure', 'as', 'n', 'tends', 'to', 'infinity', 'under', 'a', 'certain', 'continuity', 'at', 'the', 'edge', 'condition', 'on', 'the', 'drifts', 'we', 'show', 'that', 'one', 'of', 'the', 'following', 'must', 'happen', 'either', 'i', 'all', 'points', 'converge', 'to', 'zero', 'or', 'ii', 'the', 'maximum', 'goes', 'to', 'one', 'and', 'the', 'rest', 'go', 'to', 'zero', 'or', 'iii', 'the', 'processes', 'converge', 'in', 'law', 'to', 'a', 'nontrivial', 'poissondirichlet', 'distribution', 'the', 'proof', 'employs', 'among', 'other', 'things', 'techniques', 'from', 'talagrands', 'analysis', 'of', 'the', 'low', 'temperature', 'phase', 'of', 'derridas', 'random', 'energy', 'model', 'of', 'spin', 'glasses', 'the', 'main', 'result', 'establishes', 'a', 'universality', 'property', 'for', 'the', 'bfk', 'models', 'and', 'aids', 'in', 'explicit', 'asymptotic', 'computations', 'using', 'known', 'results', 'about', 'the', 'poissondirichlet', 'law']]
[-0.10928740526371179, 0.1301373772659993, -0.1196530886514588, 0.04645459974429073, -0.011730426644034526, -0.1503174233914135, 0.09664810885417652, 0.3283643070093178, -0.28951381895136324, -0.2389826733321744, 0.11382312359749042, -0.2969567935458048, -0.10545822502054433, 0.13028981685836583, -0.05196346171457875, 0.04829977991931299, 0.018852380338184378, 0.05996088049711382, -0.03505044881368373, -0.23208796151398503, 0.3249939213387985, 0.038907432100398744, 0.2760402862497784, -0.012237845429348105, 0.12346977147897903, 0.029115321619703653, -0.027529636355850134, -0.0004675355340487898, -0.13035357749279083, 0.042493346404839066, 0.19311548484073818, 0.10405328829594432, 0.2949298843424371, -0.3864300845204506, -0.17219944345774724, 0.16804128299774404, 0.13241421273126802, 0.04951396423609967, 0.022063623948835154, -0.25496146312340146, 0.11152286040794818, -0.10708603696857995, -0.21120773766863538, -0.02527150606260972, 0.03440441497195353, 0.07818146926410338, -0.27445553730717526, 0.06056234224877776, 0.1320302913848749, 0.038189405076047206, -0.053586183200055294, -0.12109425282898419, -0.025260544043192838, 0.1424068975896436, 0.09982850289457117, 0.007175458239966092, 0.13362513384261623, -0.0811092968960788, -0.12423718275076294, 0.3549111467092595, -0.08924798146187467, -0.19767492645992302, 0.1895130792791222, -0.18183565777825547, -0.13091735071601704, 0.11935478502449808, 0.16025844965268798, 0.12809972449712345, -0.12360279679080431, 0.11693008015182443, -0.03178821035383388, 0.09681404971708346, 0.09977665360264004, -0.017546581294625364, 0.18329760460183026, 0.10511942520698017, 0.10900947036645177, 0.13261816542982025, -0.07370799634348046, -0.13302228742061142, -0.34112060381882287, -0.15781675045219984, -0.2220717651893365, 0.09738222423178006, -0.13709827192447227, -0.16739449339344145, 0.35909072560149224, 0.14420362281157298, 0.25073139197886624, 0.11204301832129862, 0.2424402689650417, 0.161127453038786, 0.006898722563315421, 0.10317238095374975, 0.15414597042291325, 0.10523097929346593, 0.115752175324002, -0.1598942794792473, 0.09084695997606762, 0.08850139374448422]
706.3559
Magnetic and Structural Studies of the Quasi-Two-Dimensional Spin-Gap System (CuCl)LaNb2O7
We report magnetization, nuclear magnetic resonance (NMR), nuclear quadrupole resonance (NQR), and transmission electron microscopy (TEM) studies on the quasi-two-dimensional spin-gap system (CuCl)LaNb2O7, a possible candidate for the J1-J2 model on a square lattice. A sharp single NQR line is observed at the Cu and Cl sites, indicating that both Cu and Cl atoms occupy a unique site. However, the electric field gradient tensors at the Cu, Cl, and La sites do not have axial symmetry. This is incompatible with the reported crystal structure. Thus the J1-J2 model has to be modified. We propose alternative two-dimensional dimer models based on the NMR, NQR, and TEM results. The value of the hyperfine coupling constant at the Cu sites indicates that the spin density is mainly on the d(3z2-r2) orbital (z parallel c). At 1.5 K, Cu- and Nb-NMR signals disappear above the critical field Bc1 = 10.3 T determined from the onset of the magnetization, indicating a field-induced magnetic phase transition at Bc1.
cond-mat.str-el
we report magnetization nuclear magnetic resonance nmr nuclear quadrupole resonance nqr and transmission electron microscopy tem studies on the quasitwodimensional spingap system cucllanb2o7 a possible candidate for the j1j2 model on a square lattice a sharp single nqr line is observed at the cu and cl sites indicating that both cu and cl atoms occupy a unique site however the electric field gradient tensors at the cu cl and la sites do not have axial symmetry this is incompatible with the reported crystal structure thus the j1j2 model has to be modified we propose alternative twodimensional dimer models based on the nmr nqr and tem results the value of the hyperfine coupling constant at the cu sites indicates that the spin density is mainly on the d3z2r2 orbital z parallel c at 15 k cu and nbnmr signals disappear above the critical field bc1 103 t determined from the onset of the magnetization indicating a fieldinduced magnetic phase transition at bc1
[['we', 'report', 'magnetization', 'nuclear', 'magnetic', 'resonance', 'nmr', 'nuclear', 'quadrupole', 'resonance', 'nqr', 'and', 'transmission', 'electron', 'microscopy', 'tem', 'studies', 'on', 'the', 'quasitwodimensional', 'spingap', 'system', 'cucllanb2o7', 'a', 'possible', 'candidate', 'for', 'the', 'j1j2', 'model', 'on', 'a', 'square', 'lattice', 'a', 'sharp', 'single', 'nqr', 'line', 'is', 'observed', 'at', 'the', 'cu', 'and', 'cl', 'sites', 'indicating', 'that', 'both', 'cu', 'and', 'cl', 'atoms', 'occupy', 'a', 'unique', 'site', 'however', 'the', 'electric', 'field', 'gradient', 'tensors', 'at', 'the', 'cu', 'cl', 'and', 'la', 'sites', 'do', 'not', 'have', 'axial', 'symmetry', 'this', 'is', 'incompatible', 'with', 'the', 'reported', 'crystal', 'structure', 'thus', 'the', 'j1j2', 'model', 'has', 'to', 'be', 'modified', 'we', 'propose', 'alternative', 'twodimensional', 'dimer', 'models', 'based', 'on', 'the', 'nmr', 'nqr', 'and', 'tem', 'results', 'the', 'value', 'of', 'the', 'hyperfine', 'coupling', 'constant', 'at', 'the', 'cu', 'sites', 'indicates', 'that', 'the', 'spin', 'density', 'is', 'mainly', 'on', 'the', 'd3z2r2', 'orbital', 'z', 'parallel', 'c', 'at', '15', 'k', 'cu', 'and', 'nbnmr', 'signals', 'disappear', 'above', 'the', 'critical', 'field', 'bc1', '103', 't', 'determined', 'from', 'the', 'onset', 'of', 'the', 'magnetization', 'indicating', 'a', 'fieldinduced', 'magnetic', 'phase', 'transition', 'at', 'bc1']]
[-0.15900372641481225, 0.19176590267452412, 0.023609364952426402, 0.0005055441099102609, -0.022377936162956757, -0.18825741602340712, 0.09972322686408006, 0.4044090400566347, -0.21142846453294623, -0.26469609985360876, -0.003136776597602875, -0.350796744634863, -0.04469329660059884, 0.14001221470171005, 0.14406559685303363, -0.026994668500265107, -0.032354533088800964, 0.056136162670736664, -0.10737923290398613, -0.19741987502056874, 0.24588889746373752, 0.0800402990760631, 0.3236199829087127, 0.10699728121544468, 0.05077347976548481, -0.00521555822197115, 0.1460074317845283, -0.007471306601655669, -0.17672633075608246, 0.03710979420475269, 0.2050352120418438, -0.05139261703589, 0.15242465903429547, -0.4306257599964738, -0.16775829547841567, 0.019311522429052274, 0.13270594971545507, 0.13836241958197207, -0.07317671550063096, -0.2750189626865904, 0.03753776126832235, -0.08192626353666128, -0.09278525974077638, -0.07700027307510027, -0.025310682631970848, -0.0078088875139656014, -0.2958330239129282, 0.15684983019600623, 0.07019424827303737, 0.17555883179593365, -0.15236465222551487, -0.18163361247788998, -0.062289043999044225, -0.014553517283638939, 0.022992622276069595, 0.13613002033453087, 0.1992764333030209, -0.026517668015731032, -0.11115203897061292, 0.3347366495872848, -0.04807772508211201, -0.053031422335152456, 0.14546190786495572, -0.26680866956157845, -0.1455123599153012, 0.1809152541027288, 0.0847542125844484, 0.08522781865322031, -0.11186302542664635, 0.1004551251877274, -0.013219032492634142, 0.23784804879687726, 0.042086504868348126, 0.0010348887124564498, 0.2636518495855853, 0.15935637997317825, 0.027824288324336522, 0.07378154041434755, -0.21051676446804776, -0.03599726952561468, -0.1973453400143626, -0.13999473051080713, -0.22030885317362844, 0.06075855407734707, -0.08120345488368912, -0.13502604516979771, 0.3667648229282349, 0.09152884364011697, 0.20260970486706356, -0.09656440944090719, 0.20796617753512692, 0.07089390229739365, 0.0902087502698123, 0.018849536989000625, 0.25586746890330686, 0.20013405386998784, 0.15766732864431104, -0.33833332910580793, 0.058357195268035865, 0.0051873940552468415]
706.356
Reparametrizations of Continuous Paths
A reparametrization (of a continuous path) is given by a surjective weakly increasing self-map of the unit interval. We show that the monoid of reparametrizations (with respect to compositions) can be understood via ``stop-maps'' that allow to investigate compositions and factorizations, and we compare it to the distributive lattice of countable subsets of the unit interval. The results obtained are used to analyse the space of traces in a topological space, i.e., the space of continuous paths up to reparametrization equivalence. This space is shown to be homeomorphic to the space of regular paths (without stops) up to increasing reparametrizations. Directed versions of the results are important in directed homotopy theory.
math.GN
a reparametrization of a continuous path is given by a surjective weakly increasing selfmap of the unit interval we show that the monoid of reparametrizations with respect to compositions can be understood via stopmaps that allow to investigate compositions and factorizations and we compare it to the distributive lattice of countable subsets of the unit interval the results obtained are used to analyse the space of traces in a topological space ie the space of continuous paths up to reparametrization equivalence this space is shown to be homeomorphic to the space of regular paths without stops up to increasing reparametrizations directed versions of the results are important in directed homotopy theory
[['a', 'reparametrization', 'of', 'a', 'continuous', 'path', 'is', 'given', 'by', 'a', 'surjective', 'weakly', 'increasing', 'selfmap', 'of', 'the', 'unit', 'interval', 'we', 'show', 'that', 'the', 'monoid', 'of', 'reparametrizations', 'with', 'respect', 'to', 'compositions', 'can', 'be', 'understood', 'via', 'stopmaps', 'that', 'allow', 'to', 'investigate', 'compositions', 'and', 'factorizations', 'and', 'we', 'compare', 'it', 'to', 'the', 'distributive', 'lattice', 'of', 'countable', 'subsets', 'of', 'the', 'unit', 'interval', 'the', 'results', 'obtained', 'are', 'used', 'to', 'analyse', 'the', 'space', 'of', 'traces', 'in', 'a', 'topological', 'space', 'ie', 'the', 'space', 'of', 'continuous', 'paths', 'up', 'to', 'reparametrization', 'equivalence', 'this', 'space', 'is', 'shown', 'to', 'be', 'homeomorphic', 'to', 'the', 'space', 'of', 'regular', 'paths', 'without', 'stops', 'up', 'to', 'increasing', 'reparametrizations', 'directed', 'versions', 'of', 'the', 'results', 'are', 'important', 'in', 'directed', 'homotopy', 'theory']]
[-0.126871032838244, 0.1738985261964527, -0.0657965092919767, 0.05750951960534704, -0.09254977428354323, -0.06472984143448147, 0.07111840495649217, 0.4470824424008077, -0.3806604271077297, -0.21035810048448514, 0.10720498167105358, -0.2614922226660631, -0.09496964604001154, 0.18584403398192742, -0.11661312058462169, 0.044683783535252916, 0.06499493558975783, 0.06108393510591916, -0.12080345219424503, -0.26299973433540963, 0.3601031396983837, -0.008731589544649152, 0.21439509209478935, 0.019099166731096125, 0.13085874965922398, -0.008458164630627091, -0.03153801417316903, 0.07027813320931851, -0.1597325403969576, 0.14429088453338904, 0.23670020904392003, 0.11454956507818266, 0.20611026751046832, -0.3847901236943223, -0.2142809279178354, 0.18697316257960417, 0.1161264951864723, 0.0046780129259621555, 0.03830549880460074, -0.27690426969731397, 0.13074564488435333, -0.12273779663849961, -0.11546114755963738, -0.09118532414802095, 0.05590623128651218, 0.029912317827851934, -0.26204525245014915, -0.05337956202301112, 0.08045216392387043, 0.04959300107915293, -0.0721788202740506, -0.004875155741518194, -0.08255330184686252, 0.1413544413802976, 0.03483054677701809, 0.1041832861956209, 0.07995844927023757, -0.05617476216813719, -0.1382592088204216, 0.4328394818035039, -0.06455517929174345, -0.2324106633747843, 0.1748887174339457, -0.17327845174903897, -0.15314221316948534, 0.1632798351178115, 0.1209758223711767, 0.13461975333365528, -0.09141873208467256, 0.1482053062021309, -0.07708753803533248, 0.13197876181114804, 0.06339475077322938, 0.010654131754431133, 0.15899518847826669, 0.13146515358239413, 0.1355412094388157, 0.20628299608784303, 0.03705904028293761, -0.10934471777978946, -0.3073598694564267, -0.17716264268383383, -0.14655445152470334, 0.06361128208650783, -0.09092304858098611, -0.1813201790810457, 0.3592810327568176, 0.12621168694882232, 0.23141903370110825, 0.13612110552970658, 0.19101693583229049, 0.09317839135712182, 0.09220590447075665, 0.034683893328871236, 0.13796340043614194, 0.15112666870594363, 0.013305388221686537, -0.16632990358736027, 0.00897260430607606, 0.13689982071518897]
706.3561
Transport properties of a meson gas
We present recent results on a systematic method to calculate transport coefficients for a meson gas (in particular, we analyze a pion gas) at low temperatures in the context of Chiral Perturbation Theory. Our method is based on the study of Feynman diagrams with a power counting which takes into account collisions in the plasma by means of a non-zero particle width. In this way, we obtain results compatible with analysis of Kinetic Theory with just the leading order diagram. We show the behavior with temperature of electrical and thermal conductivities and shear and bulk viscosities, and we discuss the fundamental role played by unitarity. We obtain that bulk viscosity is negligible against shear viscosity near the chiral phase transition. Relations between the different transport coefficients and bounds on them based on different theoretical approximations are also discussed. We also comment on some applications to heavy-ion collisions.
hep-ph
we present recent results on a systematic method to calculate transport coefficients for a meson gas in particular we analyze a pion gas at low temperatures in the context of chiral perturbation theory our method is based on the study of feynman diagrams with a power counting which takes into account collisions in the plasma by means of a nonzero particle width in this way we obtain results compatible with analysis of kinetic theory with just the leading order diagram we show the behavior with temperature of electrical and thermal conductivities and shear and bulk viscosities and we discuss the fundamental role played by unitarity we obtain that bulk viscosity is negligible against shear viscosity near the chiral phase transition relations between the different transport coefficients and bounds on them based on different theoretical approximations are also discussed we also comment on some applications to heavyion collisions
[['we', 'present', 'recent', 'results', 'on', 'a', 'systematic', 'method', 'to', 'calculate', 'transport', 'coefficients', 'for', 'a', 'meson', 'gas', 'in', 'particular', 'we', 'analyze', 'a', 'pion', 'gas', 'at', 'low', 'temperatures', 'in', 'the', 'context', 'of', 'chiral', 'perturbation', 'theory', 'our', 'method', 'is', 'based', 'on', 'the', 'study', 'of', 'feynman', 'diagrams', 'with', 'a', 'power', 'counting', 'which', 'takes', 'into', 'account', 'collisions', 'in', 'the', 'plasma', 'by', 'means', 'of', 'a', 'nonzero', 'particle', 'width', 'in', 'this', 'way', 'we', 'obtain', 'results', 'compatible', 'with', 'analysis', 'of', 'kinetic', 'theory', 'with', 'just', 'the', 'leading', 'order', 'diagram', 'we', 'show', 'the', 'behavior', 'with', 'temperature', 'of', 'electrical', 'and', 'thermal', 'conductivities', 'and', 'shear', 'and', 'bulk', 'viscosities', 'and', 'we', 'discuss', 'the', 'fundamental', 'role', 'played', 'by', 'unitarity', 'we', 'obtain', 'that', 'bulk', 'viscosity', 'is', 'negligible', 'against', 'shear', 'viscosity', 'near', 'the', 'chiral', 'phase', 'transition', 'relations', 'between', 'the', 'different', 'transport', 'coefficients', 'and', 'bounds', 'on', 'them', 'based', 'on', 'different', 'theoretical', 'approximations', 'are', 'also', 'discussed', 'we', 'also', 'comment', 'on', 'some', 'applications', 'to', 'heavyion', 'collisions']]
[-0.11801872454242318, 0.17314681384180272, -0.12884111362224332, 0.029231980798582288, -0.04017665622546813, -0.06363123727227453, 0.04816681002488449, 0.3535063192881897, -0.21208715261447997, -0.2539266624494272, 0.05335703916644969, -0.2972651708516337, -0.12422451253055411, 0.19401254409648555, 0.012807442375845244, 0.05687309871902879, 0.02174242724170338, 0.013900812516910764, -0.09856783550353024, -0.19875428515809532, 0.332352354843803, 0.042314544123705146, 0.27491721495048327, 0.15952252585846347, 0.06445767888545889, -0.005165359398134711, -0.045278205663016456, 0.07179727366029405, -0.23395486582492495, 0.0752362728971817, 0.2060308912673927, -0.020383617509675978, 0.17453019277091283, -0.44026255453018104, -0.20885554739103027, 0.043435068102949455, 0.10728508608196355, 0.13514564347811373, -0.06963537970548306, -0.2185557736273931, 0.07698349009717809, -0.17614614681283736, -0.11924682206277844, -0.14128272256300767, -0.00610413213203452, -0.009703013132053876, -0.25768968948879006, 0.13013905438326845, 0.0011487057635269197, 0.055282834328102826, -0.06523196266799354, -0.15076158890741415, -0.010642117221972771, 0.08382039753479414, 0.0804028715463165, -0.006955959832574538, 0.14893920361191085, -0.16322203356690299, -0.083742280335476, 0.4040685766154811, -0.08942007754856506, -0.15819199702569417, 0.19762216515674377, -0.17681222983642297, -0.1418803315894792, 0.10023044903452198, 0.19243631067806158, 0.09557155649245837, -0.13915809454256986, 0.05792520280438792, -0.02194492674122254, 0.1251451155348193, 0.06805336659419395, 0.046503299828238635, 0.22108556064111845, 0.1638831837406876, -0.0014187226192328801, 0.1462882251833521, -0.07540658508846378, -0.09862334082904113, -0.34228004105262405, -0.1353399973033237, -0.13383231833450446, 0.024742689161865533, -0.10980246595111375, -0.14582874959724365, 0.3697519740089774, 0.17826362010598384, 0.23098791284755119, 0.027403621491659307, 0.31598492847679527, 0.16584423824045555, 0.01963403386611897, 0.08575204125268751, 0.26651965339329936, 0.1943683454507113, 0.12318682394364253, -0.2800766366603626, 0.01314980493221736, 0.12156636658644139]
706.3562
Subcritical crack growth in fibrous materials
We present experiments on the slow growth of a single crack in a fax paper sheet submitted to a constant force $F$. We find that statistically averaged crack growth curves can be described by only two parameters : the mean rupture time $\tau$ and a characteristic growth length $\zeta$. We propose a model based on a thermally activated rupture process that takes into account the microstructure of cellulose fibers. The model is able to reproduce the shape of the growth curve, the dependence of $\zeta$ on $F$ as well as the effect of temperature on the rupture time $\tau$. We find that the length scale at which rupture occurs in this model is consistently close to the diameter of cellulose microfibrils.
cond-mat.mtrl-sci physics.class-ph
we present experiments on the slow growth of a single crack in a fax paper sheet submitted to a constant force f we find that statistically averaged crack growth curves can be described by only two parameters the mean rupture time tau and a characteristic growth length zeta we propose a model based on a thermally activated rupture process that takes into account the microstructure of cellulose fibers the model is able to reproduce the shape of the growth curve the dependence of zeta on f as well as the effect of temperature on the rupture time tau we find that the length scale at which rupture occurs in this model is consistently close to the diameter of cellulose microfibrils
[['we', 'present', 'experiments', 'on', 'the', 'slow', 'growth', 'of', 'a', 'single', 'crack', 'in', 'a', 'fax', 'paper', 'sheet', 'submitted', 'to', 'a', 'constant', 'force', 'f', 'we', 'find', 'that', 'statistically', 'averaged', 'crack', 'growth', 'curves', 'can', 'be', 'described', 'by', 'only', 'two', 'parameters', 'the', 'mean', 'rupture', 'time', 'tau', 'and', 'a', 'characteristic', 'growth', 'length', 'zeta', 'we', 'propose', 'a', 'model', 'based', 'on', 'a', 'thermally', 'activated', 'rupture', 'process', 'that', 'takes', 'into', 'account', 'the', 'microstructure', 'of', 'cellulose', 'fibers', 'the', 'model', 'is', 'able', 'to', 'reproduce', 'the', 'shape', 'of', 'the', 'growth', 'curve', 'the', 'dependence', 'of', 'zeta', 'on', 'f', 'as', 'well', 'as', 'the', 'effect', 'of', 'temperature', 'on', 'the', 'rupture', 'time', 'tau', 'we', 'find', 'that', 'the', 'length', 'scale', 'at', 'which', 'rupture', 'occurs', 'in', 'this', 'model', 'is', 'consistently', 'close', 'to', 'the', 'diameter', 'of', 'cellulose', 'microfibrils']]
[-0.14990713680939127, 0.1521463253768161, -0.1263449622900225, 0.014308274350651119, -0.03347661648100863, -0.10318415902050522, 0.019693830057318944, 0.3828268937921772, -0.30156129983564217, -0.23634978585566083, 0.061946361265533295, -0.2328240279185896, -0.1536122140278773, 0.20250829380432453, -0.003273978546106567, 0.020518061460461468, 0.02555720841337461, 0.04057032993684213, 0.006832662680729603, -0.2365292249014601, 0.24925691821845247, 0.04726316030137241, 0.28079166790315263, 0.07182475852993472, 0.09458762654103339, -0.01961407100704188, 0.054253547266125676, 0.04645664769535263, -0.24313995082138717, 0.04200054854154587, 0.14443320055725054, 0.023820368751573066, 0.23075305464832732, -0.4508899489417672, -0.2388052130273233, 0.07802207306182633, 0.13080627751381446, 0.06974763757219384, 0.013007023523095995, -0.1924194097518921, 0.0613535567962875, -0.0964643298725908, -0.12039012977523574, 0.010525059940603872, 0.07108649919197584, 0.02847344449449641, -0.25387710152814785, 0.14378250205384877, 0.054474608205297655, 0.04932224716176279, -0.07886919367592782, -0.048251011967659, -0.04737772024042594, 0.10184068695719664, 0.09609638163892668, 0.02531518376975631, 0.20955446946706313, -0.10315202379327577, -0.044406914602344236, 0.3833336809805284, -0.11783684965533515, -0.14513321666357418, 0.1506959066008373, -0.154995154007338, -0.07723078969089935, 0.17778791354454976, 0.21164540839381515, 0.11015242685486253, -0.1250539833524575, 0.03871132633994421, -0.01083905779135724, 0.20026180369313806, 0.09665178953631161, -0.0910403999228341, 0.19199390002759173, 0.2380874021910131, 0.004428244987502694, 0.14736284635437186, -0.12459032148278008, -0.05171025426049406, -0.3258394252664099, -0.18022466927747396, -0.17093732041539625, 0.08045604736350166, -0.1097760121695804, -0.21866355634604892, 0.41020254092291, 0.10567405717059349, 0.2698984508945917, 0.11204151027777698, 0.23487279769033192, 0.08328230987729815, 0.10753400217314872, 0.04052685001709809, 0.21709142646286636, 0.08611738675972447, 0.06278083015543719, -0.24520860353756385, 0.16502566802470633, 0.056532417986697205]
706.3563
Anomaly Analysis of Hawking Radiation from Acoustic Black Hole
The Hawking radiation from the three dimensional rotating acoustic black hole is considered from the viewpoint of anomaly cancellation method initiated by Robinson and Wilczek. Quantum field near the horizon is effectively described by two dimensional charged field with a charge identified as the angular momentum m. The fluxes of charge and energy are obtained from the anomaly cancellation condition and regularity at the horizon, and are shown to match with those of the two dimensional black body radiation at the Hawking temperature.
hep-th
the hawking radiation from the three dimensional rotating acoustic black hole is considered from the viewpoint of anomaly cancellation method initiated by robinson and wilczek quantum field near the horizon is effectively described by two dimensional charged field with a charge identified as the angular momentum m the fluxes of charge and energy are obtained from the anomaly cancellation condition and regularity at the horizon and are shown to match with those of the two dimensional black body radiation at the hawking temperature
[['the', 'hawking', 'radiation', 'from', 'the', 'three', 'dimensional', 'rotating', 'acoustic', 'black', 'hole', 'is', 'considered', 'from', 'the', 'viewpoint', 'of', 'anomaly', 'cancellation', 'method', 'initiated', 'by', 'robinson', 'and', 'wilczek', 'quantum', 'field', 'near', 'the', 'horizon', 'is', 'effectively', 'described', 'by', 'two', 'dimensional', 'charged', 'field', 'with', 'a', 'charge', 'identified', 'as', 'the', 'angular', 'momentum', 'm', 'the', 'fluxes', 'of', 'charge', 'and', 'energy', 'are', 'obtained', 'from', 'the', 'anomaly', 'cancellation', 'condition', 'and', 'regularity', 'at', 'the', 'horizon', 'and', 'are', 'shown', 'to', 'match', 'with', 'those', 'of', 'the', 'two', 'dimensional', 'black', 'body', 'radiation', 'at', 'the', 'hawking', 'temperature']]
[-0.1238251113212185, 0.16531344377491847, -0.038046474561532845, 0.08155183439389858, -0.02516346841108009, -0.1358503918500101, -0.031432426958176565, 0.29446597511779116, -0.18908609064991574, -0.33305393363607216, 0.09378965416676309, -0.33890531465680485, -0.06518969110336649, 0.1840668480242995, -0.037216497630060436, 0.032201703435864794, -0.03410381244787251, 0.09253004152911255, -0.05972067325050572, -0.18979364500033208, 0.40396019511194114, 0.1292779538710321, 0.27541076468236475, 0.048064586296902, 0.13726081351289549, 0.007658625159031117, -0.03967770467882594, 0.10903420222008668, -0.11706840726603047, 0.021860508719481617, 0.2119649405400437, 0.0607717327818454, 0.14290715803403453, -0.3904666658715311, -0.2642775914710329, 0.03256616963589766, 0.08506685978149524, 0.15392681886722526, -0.0983620648979243, -0.2919078562184271, 0.04813610694472151, -0.16029222365693155, -0.1318577570526535, -0.006423893059233585, -0.006191425819331443, -0.06659012420260045, -0.23008782272956457, 0.11906650540677, 0.07680353369698467, -0.004851719605770096, -0.12160871668258705, -0.08250136214276181, -0.08275379383016422, 0.0712612635254052, 0.1643398850090263, 0.04047316859240632, 0.17124070902635535, -0.09292303274043047, -0.12859992384461752, 0.3207130014716861, -0.04562288177121116, -0.16526394566319075, 0.2030651175517993, -0.2324366111824491, 0.006081225771277425, 0.2056438313539039, 0.0919600640513362, 0.1464102709615401, -0.16967871830046896, 0.13244909166187646, 0.0285110465722181, 0.06454930271454021, 0.1672871065135282, 0.046928979602294515, 0.3723401058106178, 0.0669563368568758, 0.0009111448987779847, 0.14510021203882004, -0.11909468272274518, -0.06306943807930472, -0.32147195506616527, -0.14096171916069755, -0.21551072677171015, 0.1066299652433898, -0.0979136749421785, -0.11349536550998497, 0.3250125802559666, 0.1023921362602668, 0.18925801746502338, 0.0005045762195824141, 0.29065831615982285, 0.1308418758850298, 0.06253249997115996, 0.12553523437131242, 0.3093502383892346, 0.14706126224047628, 0.181393033722647, -0.3022211932700621, -0.11619836268161075, 0.15185229439310818]
706.3564
Imaging the stick-slip peeling of an adhesive tape under a constant load
Using a high speed camera, we study the peeling dynamics of an adhesive tape under a constant load with a special focus on the so-called stick-slip regime of the peeling. It is the first time that the very fast motion of the peeling point is imaged. The speed of the camera, up to 16000 fps, allows us to observe and quantify the details of the peeling point motion during the stick and slip phases: stick and slip velocities, durations and amplitudes. First, in contrast with previous observations, the stick-slip regime appears to be only transient in the force controlled peeling. Additionally, we discover that the stick and slip phases have similar durations and that at high mean peeling velocity, the slip phase actually lasts longer than the stick phase. Depending on the mean peeling velocity, we also observe that the velocity change between stick and slip phase ranges from a rather sudden to a smooth transition. These new observations can help to discriminate between the various assumptions used in theoretical models for describing the complex peeling of an adhesive tape. The present imaging technique opens the door for an extensive study of the velocity controlled stick-slip peeling of an adhesive tape that will allow to understand the statistical complexity of the stick-slip in a stationary case.
cond-mat.mtrl-sci physics.class-ph
using a high speed camera we study the peeling dynamics of an adhesive tape under a constant load with a special focus on the socalled stickslip regime of the peeling it is the first time that the very fast motion of the peeling point is imaged the speed of the camera up to 16000 fps allows us to observe and quantify the details of the peeling point motion during the stick and slip phases stick and slip velocities durations and amplitudes first in contrast with previous observations the stickslip regime appears to be only transient in the force controlled peeling additionally we discover that the stick and slip phases have similar durations and that at high mean peeling velocity the slip phase actually lasts longer than the stick phase depending on the mean peeling velocity we also observe that the velocity change between stick and slip phase ranges from a rather sudden to a smooth transition these new observations can help to discriminate between the various assumptions used in theoretical models for describing the complex peeling of an adhesive tape the present imaging technique opens the door for an extensive study of the velocity controlled stickslip peeling of an adhesive tape that will allow to understand the statistical complexity of the stickslip in a stationary case
[['using', 'a', 'high', 'speed', 'camera', 'we', 'study', 'the', 'peeling', 'dynamics', 'of', 'an', 'adhesive', 'tape', 'under', 'a', 'constant', 'load', 'with', 'a', 'special', 'focus', 'on', 'the', 'socalled', 'stickslip', 'regime', 'of', 'the', 'peeling', 'it', 'is', 'the', 'first', 'time', 'that', 'the', 'very', 'fast', 'motion', 'of', 'the', 'peeling', 'point', 'is', 'imaged', 'the', 'speed', 'of', 'the', 'camera', 'up', 'to', '16000', 'fps', 'allows', 'us', 'to', 'observe', 'and', 'quantify', 'the', 'details', 'of', 'the', 'peeling', 'point', 'motion', 'during', 'the', 'stick', 'and', 'slip', 'phases', 'stick', 'and', 'slip', 'velocities', 'durations', 'and', 'amplitudes', 'first', 'in', 'contrast', 'with', 'previous', 'observations', 'the', 'stickslip', 'regime', 'appears', 'to', 'be', 'only', 'transient', 'in', 'the', 'force', 'controlled', 'peeling', 'additionally', 'we', 'discover', 'that', 'the', 'stick', 'and', 'slip', 'phases', 'have', 'similar', 'durations', 'and', 'that', 'at', 'high', 'mean', 'peeling', 'velocity', 'the', 'slip', 'phase', 'actually', 'lasts', 'longer', 'than', 'the', 'stick', 'phase', 'depending', 'on', 'the', 'mean', 'peeling', 'velocity', 'we', 'also', 'observe', 'that', 'the', 'velocity', 'change', 'between', 'stick', 'and', 'slip', 'phase', 'ranges', 'from', 'a', 'rather', 'sudden', 'to', 'a', 'smooth', 'transition', 'these', 'new', 'observations', 'can', 'help', 'to', 'discriminate', 'between', 'the', 'various', 'assumptions', 'used', 'in', 'theoretical', 'models', 'for', 'describing', 'the', 'complex', 'peeling', 'of', 'an', 'adhesive', 'tape', 'the', 'present', 'imaging', 'technique', 'opens', 'the', 'door', 'for', 'an', 'extensive', 'study', 'of', 'the', 'velocity', 'controlled', 'stickslip', 'peeling', 'of', 'an', 'adhesive', 'tape', 'that', 'will', 'allow', 'to', 'understand', 'the', 'statistical', 'complexity', 'of', 'the', 'stickslip', 'in', 'a', 'stationary', 'case']]
[-0.14385816168052973, 0.20850056219717739, -0.15229313915241854, -0.009139927202206174, -0.10284197857793144, -0.1716023583093947, 0.07807554105508004, 0.377687546648236, -0.29345208634536163, -0.28350635617648046, 0.08713826141320169, -0.19895829608685744, -0.13663841271395707, 0.20273156047591734, -0.08254708881334712, 0.05932992283541588, 0.06091910363951077, 0.009309247992523187, -0.0480476972006727, -0.2036950453680388, 0.2263730361936959, 0.0696621247733236, 0.2955498936568835, 0.016877901025576715, 0.0917979578004667, -0.003086574050097692, 0.010741761204877144, 0.03697684355925217, -0.21969380565136548, 0.009360439506255917, 0.16824783033581736, -0.0011549033553348164, 0.2171132225495832, -0.4808339521944247, -0.20538075510584922, 0.06007672700151387, 0.11049529439360076, 0.10605043607453506, 0.00988588914279481, -0.270345159861824, 0.04128251895006677, -0.09093358915480268, -0.15899595240775685, -0.0182102283728185, 0.037603306770540294, 0.06885803427156521, -0.19692023282146287, 0.0823220999951041, 0.051127983541745275, 0.07180452446549747, -0.06092480376510476, 0.0008009353574986259, -0.0025435371019368715, 0.1513074861388843, 0.0656146345799142, 0.02006741780658356, 0.16303934176512822, -0.1576655281710878, -0.059159993263030494, 0.3839915745484177, -0.04061089409009987, -0.13856955649572666, 0.2401609695042242, -0.156294135038479, -0.09682088462027928, 0.21475418949126765, 0.18310233585415753, 0.09146001433880345, -0.12476867351129099, -0.028822243118527154, 0.01764979048069411, 0.18097802831255616, 0.13678378413897008, -0.06437657182148003, 0.20747659427838194, 0.19974413931076587, 0.06286857722659113, 0.17972714908332652, -0.21787367096489849, -0.09605760638671065, -0.31562508464169997, -0.16451112628500494, -0.15714247826124644, 0.015738376321409037, -0.14295990183833324, -0.1629881060779789, 0.3734956248447782, 0.16796994572009513, 0.2231436096782865, 0.09912680751855348, 0.2507659241274706, 0.07090975097337461, 0.06178478785053206, 0.06433251588626902, 0.29388625757268594, 0.10790943953260365, 0.14006823314250344, -0.2372314585459039, 0.10980901564471424, 0.034912819896514215]
706.3565
Experimental Algorithm for the Maximum Independent Set Problem
We develop an experimental algorithm for the exact solving of the maximum independent set problem. The algorithm consecutively finds the maximal independent sets of vertices in an arbitrary undirected graph such that the next such set contains more elements than the preceding one. For this purpose, we use a technique, developed by Ford and Fulkerson for the finite partially ordered sets, in particular, their method for partition of a poset into the minimum number of chains with finding the maximum antichain. In the process of solving, a special digraph is constructed, and a conjecture is formulated concerning properties of such digraph. This allows to offer of the solution algorithm. Its theoretical estimation of running time equals to is $O(n^{8})$, where $n$ is the number of graph vertices. The offered algorithm was tested by a program on random graphs. The testing the confirms correctness of the algorithm.
cs.DS
we develop an experimental algorithm for the exact solving of the maximum independent set problem the algorithm consecutively finds the maximal independent sets of vertices in an arbitrary undirected graph such that the next such set contains more elements than the preceding one for this purpose we use a technique developed by ford and fulkerson for the finite partially ordered sets in particular their method for partition of a poset into the minimum number of chains with finding the maximum antichain in the process of solving a special digraph is constructed and a conjecture is formulated concerning properties of such digraph this allows to offer of the solution algorithm its theoretical estimation of running time equals to is on8 where n is the number of graph vertices the offered algorithm was tested by a program on random graphs the testing the confirms correctness of the algorithm
[['we', 'develop', 'an', 'experimental', 'algorithm', 'for', 'the', 'exact', 'solving', 'of', 'the', 'maximum', 'independent', 'set', 'problem', 'the', 'algorithm', 'consecutively', 'finds', 'the', 'maximal', 'independent', 'sets', 'of', 'vertices', 'in', 'an', 'arbitrary', 'undirected', 'graph', 'such', 'that', 'the', 'next', 'such', 'set', 'contains', 'more', 'elements', 'than', 'the', 'preceding', 'one', 'for', 'this', 'purpose', 'we', 'use', 'a', 'technique', 'developed', 'by', 'ford', 'and', 'fulkerson', 'for', 'the', 'finite', 'partially', 'ordered', 'sets', 'in', 'particular', 'their', 'method', 'for', 'partition', 'of', 'a', 'poset', 'into', 'the', 'minimum', 'number', 'of', 'chains', 'with', 'finding', 'the', 'maximum', 'antichain', 'in', 'the', 'process', 'of', 'solving', 'a', 'special', 'digraph', 'is', 'constructed', 'and', 'a', 'conjecture', 'is', 'formulated', 'concerning', 'properties', 'of', 'such', 'digraph', 'this', 'allows', 'to', 'offer', 'of', 'the', 'solution', 'algorithm', 'its', 'theoretical', 'estimation', 'of', 'running', 'time', 'equals', 'to', 'is', 'on8', 'where', 'n', 'is', 'the', 'number', 'of', 'graph', 'vertices', 'the', 'offered', 'algorithm', 'was', 'tested', 'by', 'a', 'program', 'on', 'random', 'graphs', 'the', 'testing', 'the', 'confirms', 'correctness', 'of', 'the', 'algorithm']]
[-0.14510064734678638, 0.07022520211307581, -0.06970092666986054, 0.020033366477086742, -0.08275844082427658, -0.11841918352659639, 0.08043676283057422, 0.34846324261041894, -0.26377499876671456, -0.3270334402635081, 0.1048464246791124, -0.27788671268294135, -0.13188401018014204, 0.1761768110070939, -0.05685375760666618, 0.09445986708375778, 0.0925434937394441, 0.08268379385276914, 0.009195294181739732, -0.29173100294030196, 0.283096630788051, 0.01307892973522005, 0.22297954234798528, 0.052116394428893514, 0.12282013897592686, 0.0662989484828782, -0.02229397926058569, 0.07964891130870132, -0.1228410260601241, 0.12847403475571398, 0.23976613379606646, 0.23513681782249676, 0.28866466336998425, -0.3943960421068007, -0.13503305949685354, 0.16879748212403223, 0.11509354964810845, 0.10721307352491438, 0.0020857185992684967, -0.22360302694141865, 0.13185258319741752, -0.12358889430251023, -0.12338863870077958, 0.00882236213640195, 0.05510125407304819, -0.0014547513262049793, -0.3079834915888942, -0.022225620027325334, 0.07006551526257232, 0.04407611323284521, 0.0016834955038151972, -0.14327415033907004, 0.01774081412690041, 0.10057654664437095, -0.015384650100477052, 0.045799830989841986, 0.01866369545284327, -0.07073787173111955, -0.1725657510711518, 0.37187809038473524, -0.010531642792083814, -0.18006316527137406, 0.11343227095634051, -0.0810935965417055, -0.16327078762936265, 0.13580118641911126, 0.13835556046042133, 0.16426062939867173, -0.11843118890609643, 0.11293817482719658, -0.11973429011971984, 0.11558168311922314, 0.06575803054267004, -0.02236109807423941, 0.13280827144467056, 0.20857464944886375, 0.1340053753595646, 0.21760428128349404, -0.005781471006865677, -0.04167487101620605, -0.286138842997862, -0.15269117813145947, -0.25057814026902087, 0.002030989850475772, -0.16329538688515727, -0.2123366061323769, 0.42862621377770826, 0.15204378668607965, 0.17800019322001465, 0.10304535492897442, 0.2542815611646702, 0.1076859544840249, 0.011903215552144365, 0.1274075047623315, 0.1339924174029227, 0.16012580934688703, 0.002543835852882021, -0.20810372999284021, 0.10077112164565247, 0.16358574605004683]
706.3566
Algebraic definition of Holonomy on Poisson Manifold
We give an algebraic construction of connection on the symplectic leaves of Poisson manifold, introduced in \cite{Ginzburg}. This construction is suitable for the definition of the linearized holonomy on a regular symplectic foliation.
math.SG
we give an algebraic construction of connection on the symplectic leaves of poisson manifold introduced in citeginzburg this construction is suitable for the definition of the linearized holonomy on a regular symplectic foliation
[['we', 'give', 'an', 'algebraic', 'construction', 'of', 'connection', 'on', 'the', 'symplectic', 'leaves', 'of', 'poisson', 'manifold', 'introduced', 'in', 'citeginzburg', 'this', 'construction', 'is', 'suitable', 'for', 'the', 'definition', 'of', 'the', 'linearized', 'holonomy', 'on', 'a', 'regular', 'symplectic', 'foliation']]
[-0.26012734399409965, 0.04072968413356648, -0.12491001299349591, 0.07849139312747866, -0.16722567792749032, -0.10853553503693547, -0.04798442752507981, 0.29447401873767376, -0.2752787242643535, -0.17744138301350176, 0.06013644837003085, -0.17642761627212167, -0.2050871461397037, 0.16508228797465563, -0.2189365241501946, -0.01493087416747585, 0.0931464332388714, 0.14476308308076113, -0.18510925601003692, -0.24661626311717555, 0.5234309937804937, 0.1003114471968729, 0.24519003450404853, 0.03618590079713613, 0.2181573816051241, 0.014639300119597465, -0.06370125588728115, -0.04457291075959802, -0.1753288455947768, 0.1196639132394921, 0.23296235490124673, 0.07647936043213122, 0.14296210251632147, -0.3944032443105243, -0.12919248669459193, 0.10736880390322767, 0.10203305380127858, 0.055337521189358085, -0.030554977631254587, -0.32454890687949955, 0.1029839079856174, -0.10700966481817886, -0.23495248734252527, -0.11726709658978507, -0.0011853107571369037, -0.07547398295719177, -0.1185700932983309, -0.05515606197877787, 0.17315204709302634, 0.1308921815652866, -0.05179427028633654, -0.03897811885326519, -0.027593074599280953, 0.00907589691632893, -0.05112140850542346, 0.06340037298650714, 0.09560244822932873, 0.01027057889587013, -0.09110621351283044, 0.3366672120173462, -0.040116404998116195, -0.3723957109032199, 0.09686125168809667, -0.05474008712917566, -0.2680582955945283, 0.10718446678947657, 0.11035461546271108, 0.13620996451936662, -0.07284006080590189, 0.24475050848559476, -0.07256925586261787, -0.018255360308103263, 0.12953962254687212, -0.04223623208235949, 0.10455912625184283, 0.1625798304885393, 0.18923235387774184, 0.09199372326838784, -0.004341551612014882, -0.17123957318835892, -0.3699886874528602, -0.21549923130987736, -0.1277301872614771, 0.2324489335587714, -0.16749526020430494, -0.2890021794009954, 0.4476477657444775, 0.0017038502264767885, 0.1994866837048903, 0.13207718197372742, 0.2367712649065652, 0.09208183572627604, 0.008735729323234409, 0.05482753652904648, 0.13582680141553283, 0.2652899065287784, 0.005610648047877476, -0.14395049815357197, -0.0744743690447649, 0.22965030386694707]
706.3567
CMB anisotropy power spectrum using linear combinations of WMAP maps
In recent years the goal of estimating different cosmological parameters precisely has set new challenges in the effort to accurately measure the angular power spectrum of CMB. This has required removal of foreground contamination as well as detector noise bias with reliability and precision. Recently, a novel {\em model-independent} method for the estimation of CMB angular power spectrum solely from multi-frequency observations has been proposed and implemented on the first year WMAP data by Saha et al. 2006. All previous estimates of power spectrum of CMB are based upon foreground templates using data sets from different experiments. However our methodology demonstrates that {\em CMB angular spectrum can be reliably estimated with precision from a self contained analysis of the WMAP data}. In this work we provide a detailed description of this method. We also study and identify the biases present in our power spectrum estimate. We apply our methodoly to extract the power spectrum from the WMAP 1 year and 3 year data.
astro-ph
in recent years the goal of estimating different cosmological parameters precisely has set new challenges in the effort to accurately measure the angular power spectrum of cmb this has required removal of foreground contamination as well as detector noise bias with reliability and precision recently a novel em modelindependent method for the estimation of cmb angular power spectrum solely from multifrequency observations has been proposed and implemented on the first year wmap data by saha et al 2006 all previous estimates of power spectrum of cmb are based upon foreground templates using data sets from different experiments however our methodology demonstrates that em cmb angular spectrum can be reliably estimated with precision from a self contained analysis of the wmap data in this work we provide a detailed description of this method we also study and identify the biases present in our power spectrum estimate we apply our methodoly to extract the power spectrum from the wmap 1 year and 3 year data
[['in', 'recent', 'years', 'the', 'goal', 'of', 'estimating', 'different', 'cosmological', 'parameters', 'precisely', 'has', 'set', 'new', 'challenges', 'in', 'the', 'effort', 'to', 'accurately', 'measure', 'the', 'angular', 'power', 'spectrum', 'of', 'cmb', 'this', 'has', 'required', 'removal', 'of', 'foreground', 'contamination', 'as', 'well', 'as', 'detector', 'noise', 'bias', 'with', 'reliability', 'and', 'precision', 'recently', 'a', 'novel', 'em', 'modelindependent', 'method', 'for', 'the', 'estimation', 'of', 'cmb', 'angular', 'power', 'spectrum', 'solely', 'from', 'multifrequency', 'observations', 'has', 'been', 'proposed', 'and', 'implemented', 'on', 'the', 'first', 'year', 'wmap', 'data', 'by', 'saha', 'et', 'al', '2006', 'all', 'previous', 'estimates', 'of', 'power', 'spectrum', 'of', 'cmb', 'are', 'based', 'upon', 'foreground', 'templates', 'using', 'data', 'sets', 'from', 'different', 'experiments', 'however', 'our', 'methodology', 'demonstrates', 'that', 'em', 'cmb', 'angular', 'spectrum', 'can', 'be', 'reliably', 'estimated', 'with', 'precision', 'from', 'a', 'self', 'contained', 'analysis', 'of', 'the', 'wmap', 'data', 'in', 'this', 'work', 'we', 'provide', 'a', 'detailed', 'description', 'of', 'this', 'method', 'we', 'also', 'study', 'and', 'identify', 'the', 'biases', 'present', 'in', 'our', 'power', 'spectrum', 'estimate', 'we', 'apply', 'our', 'methodoly', 'to', 'extract', 'the', 'power', 'spectrum', 'from', 'the', 'wmap', '1', 'year', 'and', '3', 'year', 'data']]
[-0.022239644824883636, 0.022823729681678943, -0.09273609995301584, 0.023423305479809642, -0.10197608481322265, -0.05723068782956236, 0.03334903693901674, 0.34211058258136484, -0.22772903900010005, -0.39543698033616864, 0.09545830188873856, -0.3321486895840707, -0.08596301924065043, 0.23830964382203226, -0.058775164652615786, 0.08508715621284842, 0.06805032683122489, -0.04616149972939582, -0.010003564893131513, -0.2538976344210958, 0.30169813367710624, 0.19366337442885578, 0.29566532651100447, 0.0008542368714525192, 0.0739595585786177, -0.030517337432729056, -0.15102372051469615, 0.013693879553933202, -0.13786158539710694, 0.12303487143341314, 0.24402585773826518, 0.2067721773436247, 0.20539480666227547, -0.3583160444021938, -0.26943885320567607, 0.12341949501201327, 0.10454443057087813, 0.13152847287135866, -0.04034481144490088, -0.27108096013156074, 0.06778650008785872, -0.20574122539112044, -0.07548172549448079, -0.10672945157915101, 0.00030367439727724336, 0.0032869388908435258, -0.27644775873107585, 0.12963346186087518, 0.019670457898978328, 0.05723938955867916, -0.05002833814302712, -0.14147470454558914, -0.0029397092028061087, 0.11506794669584912, 0.02265985426492989, 0.03489686759838397, 0.09732582864501042, -0.047061476104800805, -0.09941330887262284, 0.34598672987870227, -0.0967287337752404, -0.10536496751700286, 0.1092834210290608, -0.16967649815638583, -0.19929116853098902, 0.09411118082403216, 0.19551413739100099, 0.06949677071778426, -0.17876725545854388, 0.09450518794467005, -0.00451545860549366, 0.2186638975866645, 0.059997195758810844, 0.009496771802343889, 0.23487050061539552, 0.12936728620142848, 0.07799610026456692, 0.1023244223101812, -0.1844241345577218, 0.04304394637123843, -0.26277742800475273, -0.02286112667808746, -0.22738240351742364, 0.04157507924699328, -0.07303773373455948, -0.07363021811240433, 0.4547987651700775, 0.20217088217571103, 0.24871634328335432, 0.04826563763156257, 0.4093428135700064, 0.0743518172057071, 0.02557311438233879, 0.04285337686837639, 0.2936220089962453, 0.08780681976709331, 0.1080133395275262, -0.1841708742381062, 0.01373268072967659, -0.0193228609126958]
706.3568
Analyzing powers Ayy, Axx, Axz and Ay in the dd->3Hen reaction at 270 MeV
The data on the tensor Ayy, Axx, Axz and vector Ay analyzing powers in the dd->3Hen obtained at Td= 270 MeV in the angular range 0 - 110 degrees in the c.m. are presented. The observed negative sign of the tensor analyzing powers Ayy, Axx and Axz at small angles clearly demonstrate the sensitivity to the ratio of the D and S wave component of the 3He wave function. However, the one-nucleon exchange calculations by using the standard 3He wave functions have failed to reproduce the strong variation of the tensor analyzing powers as a function of the angle in the c.m.
nucl-ex
the data on the tensor ayy axx axz and vector ay analyzing powers in the dd3hen obtained at td 270 mev in the angular range 0 110 degrees in the cm are presented the observed negative sign of the tensor analyzing powers ayy axx and axz at small angles clearly demonstrate the sensitivity to the ratio of the d and s wave component of the 3he wave function however the onenucleon exchange calculations by using the standard 3he wave functions have failed to reproduce the strong variation of the tensor analyzing powers as a function of the angle in the cm
[['the', 'data', 'on', 'the', 'tensor', 'ayy', 'axx', 'axz', 'and', 'vector', 'ay', 'analyzing', 'powers', 'in', 'the', 'dd3hen', 'obtained', 'at', 'td', '270', 'mev', 'in', 'the', 'angular', 'range', '0', '110', 'degrees', 'in', 'the', 'cm', 'are', 'presented', 'the', 'observed', 'negative', 'sign', 'of', 'the', 'tensor', 'analyzing', 'powers', 'ayy', 'axx', 'and', 'axz', 'at', 'small', 'angles', 'clearly', 'demonstrate', 'the', 'sensitivity', 'to', 'the', 'ratio', 'of', 'the', 'd', 'and', 's', 'wave', 'component', 'of', 'the', '3he', 'wave', 'function', 'however', 'the', 'onenucleon', 'exchange', 'calculations', 'by', 'using', 'the', 'standard', '3he', 'wave', 'functions', 'have', 'failed', 'to', 'reproduce', 'the', 'strong', 'variation', 'of', 'the', 'tensor', 'analyzing', 'powers', 'as', 'a', 'function', 'of', 'the', 'angle', 'in', 'the', 'cm']]
[-0.15905580273137823, 0.14791189668939844, -0.002870429178128148, 0.051644803771730696, -0.004952549176246832, -0.045991704250584436, 0.0014861888058557368, 0.32430310994571093, -0.265746600096031, -0.27089265503431903, 0.050552878565717455, -0.3174175168894748, -0.056342695738055795, 0.15184398556570752, 0.12542394982964392, 0.03982137309417295, 4.346305412231105e-05, 0.029009654781421517, -0.11041826575920724, -0.1418918696402729, 0.32038289954019067, 0.07912073640779842, 0.2498357450810842, 0.09448295021614078, 0.10737791128046258, 0.06458723493897826, -0.04430904785300245, -0.03721302460030754, -0.09733186570131036, 0.062396655006721466, 0.23877481842127693, 0.07196204286382192, 0.15580634811505822, -0.3713106189457939, -0.16824779502752393, 0.09867077637094968, 0.07063527357082187, 0.018862171080147865, 0.043607106244440495, -0.25440275255996403, 0.10406593170644034, -0.17076491770832478, -0.15382854478655034, -0.052920414162523084, 0.0887023849495788, 0.04276063367102, -0.2649597909006447, 0.09689264262261071, 0.0068114704572328245, 0.054193790607188375, -0.05993713576365078, -0.24383591096110568, -0.04330453556492039, 0.04713694897876813, 0.09155157700844921, 0.08524232870428869, 0.09499213210131863, -0.13856020103678993, -0.056901055305163456, 0.3540083324481355, -0.1092394313194079, -0.17623948517006519, 0.09277139727653254, -0.21650374421185933, -0.053431147723320395, 0.16032964699339158, 0.15524511770022534, 0.12984812894079945, -0.06641636504837782, 0.09748700988020213, -0.013105502605264186, 0.1435337970586549, 0.12620855562186034, 0.022096439965511902, 0.15666601600328295, 0.06736841735125769, -0.02605974023912729, 0.08902738892500943, -0.17183365393199468, -0.03141499499762707, -0.3002669552507082, -0.1199656165029743, -0.19433984117833714, 0.07301571487237603, -0.14516809478008516, -0.054675284863016246, 0.39451323550581785, 0.05017036903594242, 0.24796874593599874, 0.03042243924314654, 0.2582419602808976, 0.13270606330277784, 0.08723207003446204, 0.05202605031283185, 0.3068228146005975, 0.19614979670853308, 0.147979805232164, -0.2498291093662455, 0.04516958182972699, 0.02114334734765315]
706.3569
Compact jets as probes for sub-parsec scale regions in AGN
Compact relativistic jets in active galactic nuclei offer an effective tool for investigating the physics of nuclear regions in galaxies. The emission properties, dynamics, and evolution of jets in AGN are closely connected to the characteristics of the central supermassive black hole, accretion disk and broad-line region in active galaxies. Recent results from studies of the nuclear regions in several active galaxies with prominent outflows are reviewed in this contribution.
astro-ph
compact relativistic jets in active galactic nuclei offer an effective tool for investigating the physics of nuclear regions in galaxies the emission properties dynamics and evolution of jets in agn are closely connected to the characteristics of the central supermassive black hole accretion disk and broadline region in active galaxies recent results from studies of the nuclear regions in several active galaxies with prominent outflows are reviewed in this contribution
[['compact', 'relativistic', 'jets', 'in', 'active', 'galactic', 'nuclei', 'offer', 'an', 'effective', 'tool', 'for', 'investigating', 'the', 'physics', 'of', 'nuclear', 'regions', 'in', 'galaxies', 'the', 'emission', 'properties', 'dynamics', 'and', 'evolution', 'of', 'jets', 'in', 'agn', 'are', 'closely', 'connected', 'to', 'the', 'characteristics', 'of', 'the', 'central', 'supermassive', 'black', 'hole', 'accretion', 'disk', 'and', 'broadline', 'region', 'in', 'active', 'galaxies', 'recent', 'results', 'from', 'studies', 'of', 'the', 'nuclear', 'regions', 'in', 'several', 'active', 'galaxies', 'with', 'prominent', 'outflows', 'are', 'reviewed', 'in', 'this', 'contribution']]
[-0.04726221588041101, 0.10990461450523331, -0.04657607095993756, 0.18853538390747937, -0.07863156426964062, -0.04245458717590996, -0.04057762995362282, 0.4298954415268132, -0.11567473064309784, -0.29331989833819017, 0.02711369535952274, -0.32926301445945033, 0.0014923158234783581, 0.2259650361857244, -0.00104048965606905, -0.039940355398825234, -0.05045594948210887, -0.1222667459398508, -0.005549840070307255, -0.17909057784293378, 0.3675767591489213, 0.12642734787826027, 0.1413858982335244, -0.04024014616651195, 0.03771250532673938, -0.11389521951787174, -0.09863362052877034, -0.005870086247367518, -0.133138870314828, 0.09056143650252904, 0.34390943021114384, 0.11716981731754328, 0.24319947340783463, -0.41190913785248995, -0.25229691243065255, 0.024872007247592722, 0.22367354054003954, 0.0402259905689529, -0.20512318713590502, -0.25462630061166625, 0.03270365694936897, -0.21399136213585734, -0.18325780483761003, 0.06126741718367806, 0.06524014184251428, 0.062400314953577306, -0.16323536570583072, 0.14203680777448296, 0.07076783492063571, 0.038175899495503735, -0.10522682701370546, -0.04546437224905406, -0.019093665068170854, 0.1093802177746381, 0.10044006975367666, 0.06363778190820345, 0.3257948112008827, -0.21708734133613428, -0.11634035665275795, 0.3933290143297719, 0.0482371031306684, -0.013373939639755658, 0.2616321140634162, -0.3040257583505341, -0.22247241410160704, 0.16158186720817216, 0.2493369070946106, 0.18088641627026456, -0.14242114195201014, 0.005074430867430887, -0.038356435718014836, 0.13686134226403998, -0.11026757237102304, 0.11396314801116075, 0.38256177622824905, 0.1437781504488417, -0.003293569412614618, 0.1349448706522318, -0.17308073296278184, -0.11189586146335517, -0.2568455584147679, -0.0573146133883191, -0.08142343108276172, 0.07144983123455728, -0.14424550690912707, -0.05716078606035028, 0.3674104457455022, -0.0015303587595034125, 0.23950869559443422, -0.09473683862680836, 0.2972442639725549, -0.031148059856578973, 0.07797313621932907, 0.2101105863095394, 0.4174350683710405, 0.2241089990096433, 0.07309674581712378, -0.27548518773900077, 0.02119182130222076, 0.0692838153070105]
706.357
An explicit stationary phase formula for the local formal Fourier-Laplace transform
We give an explicit formula (i.e., a formal stationary phase formula) for the local Fourier-Laplace transform of a formal germ of meromorphic connection of one complex variable with a possibly irregular singularity. This is a complex analogue of the formulas in the preprint math/0702436v1.
math.AG math.CV
we give an explicit formula ie a formal stationary phase formula for the local fourierlaplace transform of a formal germ of meromorphic connection of one complex variable with a possibly irregular singularity this is a complex analogue of the formulas in the preprint math0702436v1
[['we', 'give', 'an', 'explicit', 'formula', 'ie', 'a', 'formal', 'stationary', 'phase', 'formula', 'for', 'the', 'local', 'fourierlaplace', 'transform', 'of', 'a', 'formal', 'germ', 'of', 'meromorphic', 'connection', 'of', 'one', 'complex', 'variable', 'with', 'a', 'possibly', 'irregular', 'singularity', 'this', 'is', 'a', 'complex', 'analogue', 'of', 'the', 'formulas', 'in', 'the', 'preprint', 'math0702436v1']]
[-0.2180445786392273, -0.03889095751524004, -0.20672541191844745, 0.10682757883224377, -0.15646882459174755, -0.13134402374542037, 0.027589688294155652, 0.26626370777917463, -0.26649360874191275, -0.15890490423974601, 0.1115640270994803, -0.22190451211577586, -0.22187319826767887, 0.19819605930946593, -0.09675168179531939, 0.00631396017622116, -0.02841217307980324, 0.07723473980860394, -0.1416423673373322, -0.1794746292018613, 0.3725494201793227, -0.025243922851459925, 0.19190618529547612, 0.005476468697536823, 0.14037830618664968, 0.020231021557349797, -0.04849482232130804, -0.0815686447935742, -0.13405330557116243, 0.14071044024773116, 0.29305855293086797, 0.08078914761629909, 0.2495345991581332, -0.4433511113802101, -0.13634177753268634, 0.1616358310633967, 0.12192936129001684, 0.06369694984561308, -0.0547767159648153, -0.2501640161715968, 0.05691515342440716, -0.18403540040517963, -0.2777575839657423, -0.04996699999021583, 0.10942991233842317, 0.029683678129384685, -0.2500483035001644, 0.05975039911911238, 0.15167025329415187, 0.13273193806323202, -0.07654373289280852, -0.009374352605190388, 0.0008574767893743376, 0.06756811402738094, -0.007380833248282934, 0.06772751386039132, 0.04500414065063693, -0.09349724910828437, -0.07493238807330992, 0.2965507270811602, -0.06088876656018371, -0.2515031287803986, 0.11421086550365354, -0.13118269296666218, -0.1682747743893848, 0.18243598472326994, 0.0823331537851414, 0.1787546429956375, -0.09820458721802679, 0.17797698468229797, -0.06979287194824496, 0.08168876090975002, 0.11817002404741077, -0.013940735525170039, 0.1722569380302069, 0.08379480665073145, 0.053224097980662834, 0.18054368968533221, 0.013800749165374179, -0.11401491542888242, -0.3836145264118217, -0.2727309039382394, -0.15564340634574725, 0.13842588790887317, -0.16435947946034546, -0.2967549636093683, 0.42217612188569337, -0.019716598158485667, 0.2545173885733929, 0.10470461956669339, 0.29144635463003504, 0.22414256394082724, -0.0007802400586390218, -0.03306067240056257, 0.07303680823899286, 0.17351327459652757, 0.0756389087412593, -0.11497549583788874, 0.046874826687366464, 0.18531188879941785]
706.3571
Chern-Simons pre-quantization over four-manifolds
We introduce a pre-symplectic structure on the space of connections in a G-principal bundle over a four-manifold and a Hamiltonian action on it of the group of gauge transformations that are trivial on the boundary. The moment map is given by the square of curvature so that the 0-level set is the space of flat connections. Thus the moduli space of flat connections is endowed with a pre-symplectic structure. In case when the four-manifold is null-cobordant we shall construct, on the moduli space of connections, as well as on that of flat connections, a hermitian line bundle with connection whose curvature is given by the pre-symplectic form. This is the Chern-Simons pre-quantum line bundle. The group of gauge transformations on the boundary of the base manifold acts on the moduli space of flat connections by an infinitesimally symplectic way. When the base manifold is a 4-dimensional disc we show that this action is lifted to the pre-quantum line bundle by its abelian extension. The geometric description of the latter is related to the 4-dimensional Wess-Zumino-Witten model. The previous version of this arxiv text had several incoincidence with the published article in the Differential Geometry and its Applications vol.29, so the author corrected them.
math.SG math-ph math.MP
we introduce a presymplectic structure on the space of connections in a gprincipal bundle over a fourmanifold and a hamiltonian action on it of the group of gauge transformations that are trivial on the boundary the moment map is given by the square of curvature so that the 0level set is the space of flat connections thus the moduli space of flat connections is endowed with a presymplectic structure in case when the fourmanifold is nullcobordant we shall construct on the moduli space of connections as well as on that of flat connections a hermitian line bundle with connection whose curvature is given by the presymplectic form this is the chernsimons prequantum line bundle the group of gauge transformations on the boundary of the base manifold acts on the moduli space of flat connections by an infinitesimally symplectic way when the base manifold is a 4dimensional disc we show that this action is lifted to the prequantum line bundle by its abelian extension the geometric description of the latter is related to the 4dimensional wesszuminowitten model the previous version of this arxiv text had several incoincidence with the published article in the differential geometry and its applications vol29 so the author corrected them
[['we', 'introduce', 'a', 'presymplectic', 'structure', 'on', 'the', 'space', 'of', 'connections', 'in', 'a', 'gprincipal', 'bundle', 'over', 'a', 'fourmanifold', 'and', 'a', 'hamiltonian', 'action', 'on', 'it', 'of', 'the', 'group', 'of', 'gauge', 'transformations', 'that', 'are', 'trivial', 'on', 'the', 'boundary', 'the', 'moment', 'map', 'is', 'given', 'by', 'the', 'square', 'of', 'curvature', 'so', 'that', 'the', '0level', 'set', 'is', 'the', 'space', 'of', 'flat', 'connections', 'thus', 'the', 'moduli', 'space', 'of', 'flat', 'connections', 'is', 'endowed', 'with', 'a', 'presymplectic', 'structure', 'in', 'case', 'when', 'the', 'fourmanifold', 'is', 'nullcobordant', 'we', 'shall', 'construct', 'on', 'the', 'moduli', 'space', 'of', 'connections', 'as', 'well', 'as', 'on', 'that', 'of', 'flat', 'connections', 'a', 'hermitian', 'line', 'bundle', 'with', 'connection', 'whose', 'curvature', 'is', 'given', 'by', 'the', 'presymplectic', 'form', 'this', 'is', 'the', 'chernsimons', 'prequantum', 'line', 'bundle', 'the', 'group', 'of', 'gauge', 'transformations', 'on', 'the', 'boundary', 'of', 'the', 'base', 'manifold', 'acts', 'on', 'the', 'moduli', 'space', 'of', 'flat', 'connections', 'by', 'an', 'infinitesimally', 'symplectic', 'way', 'when', 'the', 'base', 'manifold', 'is', 'a', '4dimensional', 'disc', 'we', 'show', 'that', 'this', 'action', 'is', 'lifted', 'to', 'the', 'prequantum', 'line', 'bundle', 'by', 'its', 'abelian', 'extension', 'the', 'geometric', 'description', 'of', 'the', 'latter', 'is', 'related', 'to', 'the', '4dimensional', 'wesszuminowitten', 'model', 'the', 'previous', 'version', 'of', 'this', 'arxiv', 'text', 'had', 'several', 'incoincidence', 'with', 'the', 'published', 'article', 'in', 'the', 'differential', 'geometry', 'and', 'its', 'applications', 'vol29', 'so', 'the', 'author', 'corrected', 'them']]
[-0.19744356971990207, 0.07743613779757202, -0.07826696730583058, 0.054087242038948186, -0.15986845423790194, -0.09860132973742589, -0.006493152806473121, 0.38398575753268627, -0.26859697904483887, -0.22816088384635155, 0.10886492035962586, -0.24928960982839218, -0.2193879764250452, 0.12701613572771928, -0.12925751801317392, -0.0351428537990317, 0.024684340807166652, 0.12047172562763242, -0.12459017874414821, -0.2742496704772613, 0.46952335588578686, 0.0529090459804318, 0.25544446682566685, 0.01483797412378642, 0.14381331880576909, -0.00910429478885772, -0.012202057761536671, 0.023482703409442394, -0.11697229569490265, 0.15128372838988088, 0.2063587620937367, 0.04438075494473007, 0.16327248883691828, -0.3793917100664486, -0.21575847406419787, 0.11097551064823966, 0.07579795519895113, 0.03588073524890818, 0.021525994089021727, -0.3145687329884858, 0.0497859200799266, -0.1238102774068916, -0.12616749072279135, -0.062397620894273025, 0.035063894668428026, -0.0450102801038192, -0.14364526930350424, -0.036261024112619535, 0.07293078935149559, 0.07675657579490897, -0.07987691664268345, -0.03810455221774997, -0.10515629302820947, 0.06564537129430607, 0.054143762154306406, 0.10920114897532703, 0.11681352730720572, -0.1048054638350991, -0.08509026675503517, 0.4033215728007478, -0.10419032100638799, -0.294925829769103, 0.11255730960361364, -0.10265513783030322, -0.136824491141032, 0.12067043679388295, 0.10804259277751098, 0.14117822125507978, -0.044332405943152645, 0.22659297742578893, -0.11402185142413704, 0.09198749391477334, 0.043417329289074436, -0.03848311956510833, 0.18102363556033313, 0.12736755673944175, 0.11267359856986395, 0.10971972949360267, -0.040597886465043795, -0.13165764931225135, -0.39785577468389627, -0.23027934486710347, -0.14064261299848446, 0.14941257811474182, -0.10392089769008482, -0.18060150166217348, 0.40178516609617276, 0.031852562026590994, 0.2665017121874884, 0.0829797108683016, 0.23732646160049015, 0.05960525642213985, 0.08439243426269824, 0.044416133097965396, 0.20180620947284486, 0.20842098252903116, 0.039564083348775266, -0.14548519207568064, -0.05022325525567452, 0.15825186176905592]
706.3572
Quantum-statistical equation-of-state models of dense plasmas: high-pressure Hugoniot shock adiabats
We present a detailed comparison of two self-consistent equation-of-state models which differ from their electronic contribution: the atom in a spherical cell and the atom in a jellium of charges. It is shown that both models are well suited for the calculation of Hugoniot shock adiabats in the high pressure range (1 Mbar-10 Gbar), and that the atom-in-a-jellium model provides a better treatment of pressure ionization. Comparisons with experimental data are also presented. Shell effects on shock adiabats are reviewed in the light of these models. They lead to additional features not only in the variations of pressure versus density, but also in the variations of shock velocity versus particle velocity. Moreover, such effects are found to be responsible for enhancement of the electronic specific heat.
physics.plasm-ph physics.gen-ph
we present a detailed comparison of two selfconsistent equationofstate models which differ from their electronic contribution the atom in a spherical cell and the atom in a jellium of charges it is shown that both models are well suited for the calculation of hugoniot shock adiabats in the high pressure range 1 mbar10 gbar and that the atominajellium model provides a better treatment of pressure ionization comparisons with experimental data are also presented shell effects on shock adiabats are reviewed in the light of these models they lead to additional features not only in the variations of pressure versus density but also in the variations of shock velocity versus particle velocity moreover such effects are found to be responsible for enhancement of the electronic specific heat
[['we', 'present', 'a', 'detailed', 'comparison', 'of', 'two', 'selfconsistent', 'equationofstate', 'models', 'which', 'differ', 'from', 'their', 'electronic', 'contribution', 'the', 'atom', 'in', 'a', 'spherical', 'cell', 'and', 'the', 'atom', 'in', 'a', 'jellium', 'of', 'charges', 'it', 'is', 'shown', 'that', 'both', 'models', 'are', 'well', 'suited', 'for', 'the', 'calculation', 'of', 'hugoniot', 'shock', 'adiabats', 'in', 'the', 'high', 'pressure', 'range', '1', 'mbar10', 'gbar', 'and', 'that', 'the', 'atominajellium', 'model', 'provides', 'a', 'better', 'treatment', 'of', 'pressure', 'ionization', 'comparisons', 'with', 'experimental', 'data', 'are', 'also', 'presented', 'shell', 'effects', 'on', 'shock', 'adiabats', 'are', 'reviewed', 'in', 'the', 'light', 'of', 'these', 'models', 'they', 'lead', 'to', 'additional', 'features', 'not', 'only', 'in', 'the', 'variations', 'of', 'pressure', 'versus', 'density', 'but', 'also', 'in', 'the', 'variations', 'of', 'shock', 'velocity', 'versus', 'particle', 'velocity', 'moreover', 'such', 'effects', 'are', 'found', 'to', 'be', 'responsible', 'for', 'enhancement', 'of', 'the', 'electronic', 'specific', 'heat']]
[-0.06469769877355336, 0.1410068312449561, -0.0904424053789567, 0.08402030601545478, -0.026435206497779057, -0.11315453912492, 0.027521604396057345, 0.41190514576831655, -0.2192513232509936, -0.3276705983350234, 0.04380331623120113, -0.29816485805467013, -0.06692709674638125, 0.20972715223850233, 0.017553553360255224, 0.014963108520474165, 0.04383160279042298, 0.008876960459841234, -0.0696528157014625, -0.1829585574657446, 0.2830406291252603, 0.08929216234584249, 0.24441954207929573, 0.11509128981795642, 0.0462641928451992, -0.07903966970597169, -0.021008976705131993, 0.05703042536943911, -0.12396653518214495, 0.07378495733193573, 0.21903585154403468, 0.058128597346254654, 0.19613516177501408, -0.4691012623426955, -0.27193492578883327, 0.0387381803387055, 0.11460753047328082, 0.12980624037370417, -0.07407556553540241, -0.2125387688640565, 0.017051215059191528, -0.1689051845835732, -0.11881842685773247, -0.07361636479805794, 0.020313636942920574, 0.09237799300688258, -0.2493533284155532, 0.14189452197470312, 0.024828575559959355, 0.057449423137211034, -0.12857092566029618, -0.13436783099877497, -0.06013392230247958, 0.07405496272633993, 0.06082065680323379, 0.017280471973091124, 0.17279693388169812, -0.15294689520622692, -0.028569035708994394, 0.4544835539286836, -0.06497576126393172, -0.17992808358863957, 0.2061735433075697, -0.16865583763818345, -0.09248320382433914, 0.15416483794146071, 0.13143054176414867, 0.081598139135167, -0.1219450161161442, 0.01209985958168193, 0.007458239812554131, 0.1457169729269921, 0.048231712399771615, 0.01874492364755321, 0.20141769963647088, 0.14218234448813863, -0.008915260659470674, 0.09682770324927274, -0.1234017945919937, -0.07089302963351891, -0.3353696273219201, -0.1548798611395121, -0.1236597876319842, -0.021499871809458955, -0.09868195576705001, -0.1803909767831717, 0.38084510468216914, 0.15856891104985768, 0.18181197573393282, -0.03347638332671786, 0.284309406524464, 0.11492992767776858, 0.036009874654888745, 0.08375137286155575, 0.283152979956339, 0.14678233312893538, 0.09220683306170206, -0.25284091214041016, 0.09246486914344132, -0.01542638400907538]
706.3573
Optical asymptotics via Weniger transformation
Starting from the resurgence equation discovered by Berry and Howls [M. V. Berry and C. Howls "Hyperasymptotics for integrals with saddles," Proc. R. Soc. Lond. A 434, 657-675 (1991)], the Weniger transformation is here proposed as a natural, efficient, and straightforwardly implementable scheme for the efficient asymptotics evaluation of a class of integrals occurring in several areas of physics and, in particular, of optics. Preliminary numerical tests, carried out on the Pearcey function, provide a direct comparison between the performances of Weniger transformation and those of Hyperasymptotics, which seems to corroborate the theoretical predictions. We believe that Weniger transformation would be a very useful computational tool for the asymptotic treatment of several optical problems.
physics.optics physics.comp-ph
starting from the resurgence equation discovered by berry and howls m v berry and c howls hyperasymptotics for integrals with saddles proc r soc lond a 434 657675 1991 the weniger transformation is here proposed as a natural efficient and straightforwardly implementable scheme for the efficient asymptotics evaluation of a class of integrals occurring in several areas of physics and in particular of optics preliminary numerical tests carried out on the pearcey function provide a direct comparison between the performances of weniger transformation and those of hyperasymptotics which seems to corroborate the theoretical predictions we believe that weniger transformation would be a very useful computational tool for the asymptotic treatment of several optical problems
[['starting', 'from', 'the', 'resurgence', 'equation', 'discovered', 'by', 'berry', 'and', 'howls', 'm', 'v', 'berry', 'and', 'c', 'howls', 'hyperasymptotics', 'for', 'integrals', 'with', 'saddles', 'proc', 'r', 'soc', 'lond', 'a', '434', '657675', '1991', 'the', 'weniger', 'transformation', 'is', 'here', 'proposed', 'as', 'a', 'natural', 'efficient', 'and', 'straightforwardly', 'implementable', 'scheme', 'for', 'the', 'efficient', 'asymptotics', 'evaluation', 'of', 'a', 'class', 'of', 'integrals', 'occurring', 'in', 'several', 'areas', 'of', 'physics', 'and', 'in', 'particular', 'of', 'optics', 'preliminary', 'numerical', 'tests', 'carried', 'out', 'on', 'the', 'pearcey', 'function', 'provide', 'a', 'direct', 'comparison', 'between', 'the', 'performances', 'of', 'weniger', 'transformation', 'and', 'those', 'of', 'hyperasymptotics', 'which', 'seems', 'to', 'corroborate', 'the', 'theoretical', 'predictions', 'we', 'believe', 'that', 'weniger', 'transformation', 'would', 'be', 'a', 'very', 'useful', 'computational', 'tool', 'for', 'the', 'asymptotic', 'treatment', 'of', 'several', 'optical', 'problems']]
[-0.11873607542120705, 0.03176612639799714, -0.14744351577552917, 0.049473460116260276, -0.07382111250537268, -0.16184858318107823, 0.08866454187470178, 0.3318823956508647, -0.2182481821561069, -0.2947313425931753, 0.10218641380044191, -0.25285062222055305, -0.21129848505778795, 0.26442474138048855, -0.049095888811024724, 0.060788023497974665, 0.06785211780745733, -0.07688372568487753, -0.10237456960889527, -0.2259201891556905, 0.20275887576127916, 0.07169465549094112, 0.24712560809495157, 0.053437141170561836, 0.0661298880320892, 0.0014326979774826516, -0.069268093553674, 0.0033316031637552535, -0.14668899983109696, 0.11491439212726332, 0.27368314103468466, 0.06594249388823907, 0.268305677691834, -0.375109828428545, -0.16386029702047572, 0.04455234924241443, 0.10741564406392475, 0.05420618760705877, -0.035624015828177924, -0.31710079135046454, 0.024664384236338696, -0.17284409201034068, -0.12492368871493167, -0.12805244129298157, 0.1017003108690117, 0.002235647070368654, -0.29769414145368756, 0.06447377976665418, 0.05284046456207554, 0.0910963681220126, 0.005473812180162783, -0.16757325884853408, 0.002376600975893732, 0.05161413386578492, 0.013055506241997998, 0.051252083747194296, 0.06849761333381921, -0.08736320145493537, -0.12535659441920488, 0.37345193945721056, -0.05531067118557219, -0.15031899408061514, 0.18250950416264108, -0.08364392982452716, -0.1482128220928931, 0.11711872627002824, 0.11629410203660659, 0.1335653950349967, -0.1335061305700883, 0.11355577499693538, -0.024891935926126808, 0.05363437822987244, 0.0785056115046405, 0.00034778936880460956, 0.16636218251497076, 0.08674191385548431, 0.0005524501964253815, 0.11231601458929251, -0.06293293890510604, -0.09907154572245322, -0.3262297092730653, -0.19979005264477773, -0.19801999274804666, 0.08094635589677318, -0.08471905083097865, -0.13661589098123122, 0.36494993080962385, 0.1411144946162638, 0.14231377112139998, 0.04130019984522573, 0.2010959411742525, 0.10146696183712042, 0.017040706947323327, 0.06926257831959479, 0.2283771342124071, 0.1715656032238417, 0.12368693325684912, -0.22485924007885746, -0.0015086766716354248, 0.10346350709401202]
706.3574
The Characteristic Noise Induced by the Continious Measurements in Classical Open Systems
We proposed the modified version of quantum-mechanical theory of continuous measurements for the case of classical open systems. In our approach the influence of measurement on evolution of distribution function of an open system is described by the Fokker-Planck equation of a special form. The diffusion tensor of this equation is uniquely defined by a type of the measured quantity. On the basis of the approach proposed the stationary states of the linear dissipative systems, induced by measurements in them, are considered. Also we demonstrate on the simple example, how in the conservative system, consisting of noninteracting parts, measurement of the integral of motion results in relaxation to the quasi-thermodynamic equilibrium between parts of the system. The "temperature" of such state is determined by energy of the system and by the mean value of measured integral of motion. PACS numbers: 03.65.Ta, 05.40.-a
quant-ph
we proposed the modified version of quantummechanical theory of continuous measurements for the case of classical open systems in our approach the influence of measurement on evolution of distribution function of an open system is described by the fokkerplanck equation of a special form the diffusion tensor of this equation is uniquely defined by a type of the measured quantity on the basis of the approach proposed the stationary states of the linear dissipative systems induced by measurements in them are considered also we demonstrate on the simple example how in the conservative system consisting of noninteracting parts measurement of the integral of motion results in relaxation to the quasithermodynamic equilibrium between parts of the system the temperature of such state is determined by energy of the system and by the mean value of measured integral of motion pacs numbers 0365ta 0540a
[['we', 'proposed', 'the', 'modified', 'version', 'of', 'quantummechanical', 'theory', 'of', 'continuous', 'measurements', 'for', 'the', 'case', 'of', 'classical', 'open', 'systems', 'in', 'our', 'approach', 'the', 'influence', 'of', 'measurement', 'on', 'evolution', 'of', 'distribution', 'function', 'of', 'an', 'open', 'system', 'is', 'described', 'by', 'the', 'fokkerplanck', 'equation', 'of', 'a', 'special', 'form', 'the', 'diffusion', 'tensor', 'of', 'this', 'equation', 'is', 'uniquely', 'defined', 'by', 'a', 'type', 'of', 'the', 'measured', 'quantity', 'on', 'the', 'basis', 'of', 'the', 'approach', 'proposed', 'the', 'stationary', 'states', 'of', 'the', 'linear', 'dissipative', 'systems', 'induced', 'by', 'measurements', 'in', 'them', 'are', 'considered', 'also', 'we', 'demonstrate', 'on', 'the', 'simple', 'example', 'how', 'in', 'the', 'conservative', 'system', 'consisting', 'of', 'noninteracting', 'parts', 'measurement', 'of', 'the', 'integral', 'of', 'motion', 'results', 'in', 'relaxation', 'to', 'the', 'quasithermodynamic', 'equilibrium', 'between', 'parts', 'of', 'the', 'system', 'the', 'temperature', 'of', 'such', 'state', 'is', 'determined', 'by', 'energy', 'of', 'the', 'system', 'and', 'by', 'the', 'mean', 'value', 'of', 'measured', 'integral', 'of', 'motion', 'pacs', 'numbers', '0365ta', '0540a']]
[-0.14825451757811697, 0.09706191603081542, -0.0931113068054014, 0.006398911637432398, 0.014092359658832668, -0.05887995129253002, 0.012714218971623333, 0.28126711848832614, -0.2891720455232347, -0.2988156286986373, 0.07515115181317698, -0.2709672666230761, -0.12754747702191907, 0.21837066280397963, -0.007184811448348118, 0.07995655223337524, 0.052351493581614277, 0.06040615903491035, -0.05081327244348771, -0.20904317113128326, 0.3656501317931775, 0.02795770801339589, 0.23878734044942027, 0.016765602777632786, 0.1436591882271864, 0.036598088657351355, -0.017861146858814073, 0.04407386451378359, -0.13012275984841035, 0.12148416769510822, 0.17037073702795813, 0.09783475158128438, 0.24032366115282824, -0.39231587157763065, -0.1957635242518381, 0.05789818271915329, 0.09586587964874158, 0.07067620536933343, -0.006010696997846219, -0.30828936340729873, 0.034566153052216726, -0.15225353739752784, -0.17459127713483594, -0.049595491891290915, 0.036612574037507915, 0.05537876510556708, -0.23634240066910045, 0.13377712024784488, 0.06509802387597977, 0.037807716657770864, -0.13190625703411427, -0.09355166866543128, -0.019021431669421125, 0.10629791419636062, -0.005284873621723225, -0.010301902711867018, 0.1225803365884679, -0.13805378749074929, -0.10329442769817426, 0.3732779765144942, -0.1157323029123458, -0.24668609977477718, 0.14025180765051157, -0.15200850929311932, -0.08527986683010896, 0.10220160383932583, 0.15435132225116727, 0.14805895837473002, -0.18328465905753857, 0.08473723556757418, -0.04982411754416659, 0.13045388835825766, 0.0006611302052459395, 0.0235933940230162, 0.1700611371771558, 0.16297826284364342, 0.03448476826653202, 0.16304100519508546, -0.048933238577277646, -0.14900466956937988, -0.3249014007944799, -0.1748987091193306, -0.2366940079385692, 0.07255153044239215, -0.049276059750919164, -0.15880805720304345, 0.4047665658013908, 0.12960958866698086, 0.17376935405116725, 0.0066454961123143105, 0.28414114948084696, 0.19486525407348304, 0.032422297459148555, 0.030242594054748193, 0.24051997615420756, 0.15657302905336445, 0.07834082644710198, -0.2836703712777862, 0.04530035192146897, 0.08087072615901418]
706.3575
Crossed Andreev reflection at spin-active interfaces
With the aid of the quasiclassical Eilenberger formalism we develop a theory of non-local electron transport across three-terminal ballistic normal-superconducting-normal (NSN) devices with spin-active NS interfaces. The phenomenon of crossed Andreev reflection (CAR) is known to play the key role in such transport. We demonstrate that CAR is highly sensitive to electron spins and yields a rich variety of properties of non-local conductance which we describe non-perturbatively at arbitrary voltages, temperature, spin-dependent interface transmissions and their polarizations. Our results can be applied to multi-terminal hybrid structures with normal, ferromagnetic and half-metallic electrodes and can be directly tested in future experiments.
cond-mat.supr-con
with the aid of the quasiclassical eilenberger formalism we develop a theory of nonlocal electron transport across threeterminal ballistic normalsuperconductingnormal nsn devices with spinactive ns interfaces the phenomenon of crossed andreev reflection car is known to play the key role in such transport we demonstrate that car is highly sensitive to electron spins and yields a rich variety of properties of nonlocal conductance which we describe nonperturbatively at arbitrary voltages temperature spindependent interface transmissions and their polarizations our results can be applied to multiterminal hybrid structures with normal ferromagnetic and halfmetallic electrodes and can be directly tested in future experiments
[['with', 'the', 'aid', 'of', 'the', 'quasiclassical', 'eilenberger', 'formalism', 'we', 'develop', 'a', 'theory', 'of', 'nonlocal', 'electron', 'transport', 'across', 'threeterminal', 'ballistic', 'normalsuperconductingnormal', 'nsn', 'devices', 'with', 'spinactive', 'ns', 'interfaces', 'the', 'phenomenon', 'of', 'crossed', 'andreev', 'reflection', 'car', 'is', 'known', 'to', 'play', 'the', 'key', 'role', 'in', 'such', 'transport', 'we', 'demonstrate', 'that', 'car', 'is', 'highly', 'sensitive', 'to', 'electron', 'spins', 'and', 'yields', 'a', 'rich', 'variety', 'of', 'properties', 'of', 'nonlocal', 'conductance', 'which', 'we', 'describe', 'nonperturbatively', 'at', 'arbitrary', 'voltages', 'temperature', 'spindependent', 'interface', 'transmissions', 'and', 'their', 'polarizations', 'our', 'results', 'can', 'be', 'applied', 'to', 'multiterminal', 'hybrid', 'structures', 'with', 'normal', 'ferromagnetic', 'and', 'halfmetallic', 'electrodes', 'and', 'can', 'be', 'directly', 'tested', 'in', 'future', 'experiments']]
[-0.1822466954169795, 0.14166949009057134, -0.08103617956396192, 0.03198234138690168, -0.07672850903123617, -0.21780161662958564, 0.03311507701990195, 0.4100594058446586, -0.2769527750369161, -0.28867160180583595, -0.04419121063081548, -0.2844655946828425, -0.14085948817431926, 0.24719305181875825, -0.0023512148857116697, 0.041820649970322844, 0.025463043134659528, -0.06638505906797945, -0.07354564511915669, -0.17395477754762395, 0.3027568417972361, -0.006807780750968959, 0.32911715695634486, 0.1391123560233973, 0.043995222365483644, 0.04788067702203989, 0.10071169663220644, 0.05906986275222152, -0.11038517166169186, 0.05260562510229647, 0.3493950516358018, -0.11492140061687678, 0.11968210005201399, -0.5425254641845823, -0.2047195538401138, -0.03868268852937035, 0.11753477891848889, 0.1359471826144727, -0.061423143269494176, -0.30453889415599406, 0.08618087214294064, -0.18618515982758255, -0.12529639566069817, -0.09230962702073157, -0.04405646037543193, 0.01820203130482696, -0.2835834852792323, 0.08542109614238143, 0.01821124294307083, 0.0037541287299245594, 0.0015486455596692395, -0.0804233846720308, -0.05239384965505451, 0.11455116434022784, -0.037271189079619946, -0.02312979775015265, 0.19958781236404322, -0.10771216459339485, -0.15531323242001235, 0.31165848425589504, -0.05895539348945022, -0.1591804957894783, 0.18646606447873637, -0.1889297910872847, -0.037744960933923724, 0.08378347834455781, 0.1471888725971803, 0.1284535130020231, -0.19694170720875262, 0.055137775079347195, -0.03950396960601211, 0.09064370391424745, 0.04133325486443937, 0.08528188025113195, 0.25892687660641966, 0.20356829879805446, 0.043623402202501896, 0.11406035996507853, -0.15631599157117307, -0.06490155063685961, -0.2503219845786225, -0.19108211370625214, -0.15434819510905073, 0.11059387618704931, -0.04671597588283476, -0.1724413911276497, 0.3914506999216974, 0.19448708943091333, 0.1384551018849015, -0.07345719895005459, 0.26629863555543126, 0.16600788913317957, 0.06078399925259873, 0.04518841077093384, 0.1816269606538117, 0.20088061299175025, 0.10784637187374756, -0.305524767767638, 0.08942359273554758, -0.030147494189441203]
706.3576
Coulomb effects in polarization transfer in elastic antiproton and proton electron scattering at low energies
The influence of Coulomb distortion on the polarization transfer in elastic proton and antiproton electron scattering at low energies is calculated in a distorted wave Born approximation. For antiproton electron scattering Coulomb effects reduce substantially the spin transfer cross section compared to the plane wave Born approximation whereas for proton electron scattering they lead to a dramatic increase for kinetic proton lab energies below about 20 keV.
nucl-th
the influence of coulomb distortion on the polarization transfer in elastic proton and antiproton electron scattering at low energies is calculated in a distorted wave born approximation for antiproton electron scattering coulomb effects reduce substantially the spin transfer cross section compared to the plane wave born approximation whereas for proton electron scattering they lead to a dramatic increase for kinetic proton lab energies below about 20 kev
[['the', 'influence', 'of', 'coulomb', 'distortion', 'on', 'the', 'polarization', 'transfer', 'in', 'elastic', 'proton', 'and', 'antiproton', 'electron', 'scattering', 'at', 'low', 'energies', 'is', 'calculated', 'in', 'a', 'distorted', 'wave', 'born', 'approximation', 'for', 'antiproton', 'electron', 'scattering', 'coulomb', 'effects', 'reduce', 'substantially', 'the', 'spin', 'transfer', 'cross', 'section', 'compared', 'to', 'the', 'plane', 'wave', 'born', 'approximation', 'whereas', 'for', 'proton', 'electron', 'scattering', 'they', 'lead', 'to', 'a', 'dramatic', 'increase', 'for', 'kinetic', 'proton', 'lab', 'energies', 'below', 'about', '20', 'kev']]
[-0.04799805860271427, 0.2510251382699431, -0.02773258982420857, 0.22076761288352922, 0.015852852262306347, -0.07224603006425105, 0.04798887836149157, 0.3711184252665114, -0.21858426304395073, -0.3011717375423481, -0.10625485726632178, -0.3871608220610712, 0.05670975658820191, 0.17107395704057235, 0.15018680210767396, 0.04340333163515845, 0.06736221074112761, -0.00986141532506627, -0.1399959338109579, -0.15588563787681398, 0.2788036124530568, 0.18969440132852144, 0.2973901413714708, 0.23239663209932954, 0.06675330286762163, 0.1738110123091002, 0.04308337937873691, -0.03149832785129547, -0.07400884210139012, 0.05511671375594477, 0.2951444725214101, -0.07647547308345144, 0.09900979508659732, -0.4831462816627168, -0.20158267261655027, 0.0112799175445046, 0.16103560902845504, 0.1443267476626797, -0.0699648993374752, -0.1966214825524323, -0.035189667111957694, -0.23945496481523584, -0.1648602726827584, -0.02683462528511882, 0.026494886225728848, 0.03234320695498096, -0.26398114890638574, 0.11115801567906763, -0.01954458977109683, -0.018712525367180804, -0.16209411584257857, -0.209707428909727, -0.003616579749218341, -0.04902401662417757, 0.08363149862444556, 0.1339444776913568, 0.24159919403827013, -0.11674530438230887, -0.06290777103190046, 0.39583653356157134, -0.003113561101369004, -0.12311217911652665, 0.08681606381102952, -0.2568254537685816, -0.026896809286841038, 0.35112179868590476, 0.23293465056887536, 0.033788194681809686, -0.130194034204999, 0.05500526074624148, 0.05986998634935885, 0.16223553455184533, 0.2186896954871603, 0.009911201136714932, 0.18649853102918437, 0.1710245186574201, 0.01920046067949551, -0.0011148346004201406, -0.21580832284430404, -0.05691472455553377, -0.2594314622345255, -0.04824725282726003, -0.11385604812339671, 0.12465293787605713, -0.02082201656377214, -0.13025359598113528, 0.3072521569487055, 0.08558548447578701, 0.16950497815885873, -0.036780778666151995, 0.33948100285966004, 0.18755518936955218, 0.07211283037661394, 0.04066015296240351, 0.377600940750606, 0.2020955067788209, 0.16066437443273504, -0.3078005339519413, 0.047171782097108525, 0.004553327309106713]
706.3577
Parametric Frequency Conversion of Short Optical Pulses Controlled by a CW Background
We predict that parametric sum-frequency generation of an ultra-short pulse may result from the mixing of an ultra-short optical pulse with a quasi-continuous wave control. We analytically show that the intensity, time duration and group velocity of the generated idler pulse may be controlled in a stable manner by adjusting the intensity level of the background pump.
physics.optics
we predict that parametric sumfrequency generation of an ultrashort pulse may result from the mixing of an ultrashort optical pulse with a quasicontinuous wave control we analytically show that the intensity time duration and group velocity of the generated idler pulse may be controlled in a stable manner by adjusting the intensity level of the background pump
[['we', 'predict', 'that', 'parametric', 'sumfrequency', 'generation', 'of', 'an', 'ultrashort', 'pulse', 'may', 'result', 'from', 'the', 'mixing', 'of', 'an', 'ultrashort', 'optical', 'pulse', 'with', 'a', 'quasicontinuous', 'wave', 'control', 'we', 'analytically', 'show', 'that', 'the', 'intensity', 'time', 'duration', 'and', 'group', 'velocity', 'of', 'the', 'generated', 'idler', 'pulse', 'may', 'be', 'controlled', 'in', 'a', 'stable', 'manner', 'by', 'adjusting', 'the', 'intensity', 'level', 'of', 'the', 'background', 'pump']]
[-0.15417819421150183, 0.27644457552518714, -0.10307684959026805, -0.006225950819881339, -0.012741085109219216, -0.08906587894613806, 0.042233688658789584, 0.5462549232077181, -0.31133238690202697, -0.26692183869645786, 0.03428839257174874, -0.19040012594287922, -0.07713064973716412, 0.27835220222671825, -0.023616256306699494, 0.053700891282540145, 0.032459253870081486, -0.027037312194966433, 0.018427126951058182, -0.15459776845384846, 0.24133802067259685, 0.06716241842756669, 0.2932915883792335, -0.02389254038663287, 0.14518551465548707, 0.020069591235369444, -3.4203959665702364e-05, -0.10248983223318008, -0.0659965343639079, 0.07521081732161213, 0.21397370707831884, 0.056215821814380194, 0.2579679933556339, -0.4287432274666795, -0.2666768967705011, 0.07716520915722899, 0.13364583672138683, 0.15191131869429036, -0.08980874571614295, -0.32861948359692306, 0.02071934835495133, -0.13363376080074854, -0.13597691526407735, -0.017862419315956925, 0.013047050815402415, 0.1391709221061319, -0.3196636995202617, 0.02951989141537955, 0.053829911181278396, 0.03323319869671475, -0.03883747705421819, 0.06736825127767301, -0.09066689197431531, 0.061543688880639116, 0.016827023990660103, 0.03727452669613341, 0.13984268321962046, -0.16569027155964522, -0.08853396993914717, 0.3472682045958528, -0.19253408549386158, -0.07806247077359442, 0.054963754244933, -0.18449478518838683, 0.005388425851012008, 0.20252014121465517, 0.18283997647251868, 0.1299798088475016, -0.09324963002776106, -0.05576099847594537, -0.015140640516428425, 0.33112081625547846, 0.2010958468574181, 0.060768242288184796, 0.22037859555137784, 0.15708751242052307, 0.0645929026629841, 0.13891089014635472, -0.13657296635210514, 0.016403954051304282, -0.3128467809997107, -0.04873464950932223, -0.1603250168917472, 0.07185260900944725, -0.05357378625628546, -0.10169124368806942, 0.5045380804753095, 0.15918303145863638, 0.11837889541250964, 0.021632720961382513, 0.29487310572151554, 0.26474461730634957, -0.023838838791115244, -0.008831654070762167, 0.2617728947661817, 0.12503061592660583, 0.055114985312939735, -0.29001672220775826, 0.026644150040259485, -0.01157706605041759]
706.3578
On the corona of magnetars
Slow dissipation of non-potential magnetic fields in the magnetosphere of the magnetar is assumed to accelerate particles to hundreds MeV along the magnetic field lines. We consider interaction of fast particles with the surface of the magnetar. We argue that the collisionless dissipation does not work in the atmosphere of the neutron star because the two-stream instability is stabilized by the inhomogeneity of the atmosphere. Rather, the dominant dissipation mechanism is collisional Landau levelexcitations followed by pair production via the deexcitation gamma-rays ultimately leading to electrons with the energy below the Landau energy. We show that, because of the effects of the superstrong magnetic field, these electrons could emerge from the surface carrying most of the original energy so that a hot corona arises with the temperature of 1 - 2 MeV. This extended corona is better suited than a thin atmosphere to convert most of the primary beam energy to non-thermal radiation and, as we show, most of the coronal energy release is radiated away in the hard X-ray and the soft gamma-ray bands by Comptonization and bremsstrahlung. The radiation spectrum is a power-law with the photon index $1<\alpha<2$. The model may account for the persistent hard X-ray emission discovered recently from the soft gamma-ray repeaters and anomalous X-ray pulsars and predicts that the radiation spectrum is extended into the MeV band.
astro-ph
slow dissipation of nonpotential magnetic fields in the magnetosphere of the magnetar is assumed to accelerate particles to hundreds mev along the magnetic field lines we consider interaction of fast particles with the surface of the magnetar we argue that the collisionless dissipation does not work in the atmosphere of the neutron star because the twostream instability is stabilized by the inhomogeneity of the atmosphere rather the dominant dissipation mechanism is collisional landau levelexcitations followed by pair production via the deexcitation gammarays ultimately leading to electrons with the energy below the landau energy we show that because of the effects of the superstrong magnetic field these electrons could emerge from the surface carrying most of the original energy so that a hot corona arises with the temperature of 1 2 mev this extended corona is better suited than a thin atmosphere to convert most of the primary beam energy to nonthermal radiation and as we show most of the coronal energy release is radiated away in the hard xray and the soft gammaray bands by comptonization and bremsstrahlung the radiation spectrum is a powerlaw with the photon index 1alpha2 the model may account for the persistent hard xray emission discovered recently from the soft gammaray repeaters and anomalous xray pulsars and predicts that the radiation spectrum is extended into the mev band
[['slow', 'dissipation', 'of', 'nonpotential', 'magnetic', 'fields', 'in', 'the', 'magnetosphere', 'of', 'the', 'magnetar', 'is', 'assumed', 'to', 'accelerate', 'particles', 'to', 'hundreds', 'mev', 'along', 'the', 'magnetic', 'field', 'lines', 'we', 'consider', 'interaction', 'of', 'fast', 'particles', 'with', 'the', 'surface', 'of', 'the', 'magnetar', 'we', 'argue', 'that', 'the', 'collisionless', 'dissipation', 'does', 'not', 'work', 'in', 'the', 'atmosphere', 'of', 'the', 'neutron', 'star', 'because', 'the', 'twostream', 'instability', 'is', 'stabilized', 'by', 'the', 'inhomogeneity', 'of', 'the', 'atmosphere', 'rather', 'the', 'dominant', 'dissipation', 'mechanism', 'is', 'collisional', 'landau', 'levelexcitations', 'followed', 'by', 'pair', 'production', 'via', 'the', 'deexcitation', 'gammarays', 'ultimately', 'leading', 'to', 'electrons', 'with', 'the', 'energy', 'below', 'the', 'landau', 'energy', 'we', 'show', 'that', 'because', 'of', 'the', 'effects', 'of', 'the', 'superstrong', 'magnetic', 'field', 'these', 'electrons', 'could', 'emerge', 'from', 'the', 'surface', 'carrying', 'most', 'of', 'the', 'original', 'energy', 'so', 'that', 'a', 'hot', 'corona', 'arises', 'with', 'the', 'temperature', 'of', '1', '2', 'mev', 'this', 'extended', 'corona', 'is', 'better', 'suited', 'than', 'a', 'thin', 'atmosphere', 'to', 'convert', 'most', 'of', 'the', 'primary', 'beam', 'energy', 'to', 'nonthermal', 'radiation', 'and', 'as', 'we', 'show', 'most', 'of', 'the', 'coronal', 'energy', 'release', 'is', 'radiated', 'away', 'in', 'the', 'hard', 'xray', 'and', 'the', 'soft', 'gammaray', 'bands', 'by', 'comptonization', 'and', 'bremsstrahlung', 'the', 'radiation', 'spectrum', 'is', 'a', 'powerlaw', 'with', 'the', 'photon', 'index', '1alpha2', 'the', 'model', 'may', 'account', 'for', 'the', 'persistent', 'hard', 'xray', 'emission', 'discovered', 'recently', 'from', 'the', 'soft', 'gammaray', 'repeaters', 'and', 'anomalous', 'xray', 'pulsars', 'and', 'predicts', 'that', 'the', 'radiation', 'spectrum', 'is', 'extended', 'into', 'the', 'mev', 'band']]
[-0.0915131172011459, 0.26025553857454636, -0.039896571209097946, 0.15174283463469965, -0.08765642945978651, -0.0572519889445101, 0.015313750971530088, 0.3776663049667804, -0.2594203927203364, -0.34679214824075344, 0.0024748826699702246, -0.2809526696716903, -0.010694658741928063, 0.21372015407726136, 0.025055737965803477, -0.028714271640506196, 0.04389395760962259, -0.012640065490373524, 0.015925790921772296, -0.13892491772924698, 0.3197687871383326, 0.15432063460653453, 0.20208126693180176, 0.09250240577426971, 0.04941363260571369, -0.027913493684775352, 0.025545205865360847, -0.044433465530902015, -0.08246057812607535, 0.06242115799405051, 0.17315730165792376, 0.03142606853022834, 0.20141271999046814, -0.4534276100844819, -0.29216416776854526, 0.06380307615515501, 0.15710200959836593, 0.03876443093798515, -0.03537464878475504, -0.21279918884740492, 0.04922377360390491, -0.189907762841469, -0.14336271727630423, 0.01568127140704104, -0.007162264911710744, 0.016859014336824654, -0.2413007315193994, 0.09903939082487423, 0.08869031899844664, -0.01823479889015503, -0.13737526960772087, -0.0567246693612089, -0.067429307877714, 0.03351487424351039, 0.13920433714994276, 0.05613470642840094, 0.19519228981154638, -0.160320624714397, -0.08529202355418515, 0.4021125020063166, -0.05583516627528264, -0.03830719598657473, 0.19427610692890504, -0.20888747103992697, -0.1034867672451953, 0.2672376937793391, 0.11340556005795584, 0.07918797238446494, -0.14301822811145992, 0.05825263007551356, 0.01622840921011041, 0.18790103925383603, 0.0507994992532072, 0.026453512484772443, 0.28830162088315076, 0.1345608621918411, 0.00021789586213649128, 0.17553081132215553, -0.2143835312964993, -0.01912794499320918, -0.27277513352913857, -0.11598084269384369, -0.1814939235842774, 0.09940472066965285, -0.043895897878704244, -0.17051116470659042, 0.4039385211274736, 0.11332087585259001, 0.15556197047941556, -0.04308196674079984, 0.33095871726666237, 0.16179639334438528, 0.052455140019364535, 0.1654857964675275, 0.33904195928996705, 0.1625104296627998, 0.13056244117075344, -0.24941226050291396, 0.007178105697840689, 0.014988191354160126]
706.3579
Time-dependent quantum Monte Carlo and the stochastic quantization
We examine the relation between the recently proposed time-dependent quantum Monte Carlo (TDQMC) method and the principles of stochastic quantization. In both TDQMC and stochastic quantization particle motion obeys stochastic guidance equations to preserve quantum equilibrium. In this way the probability density of the Monte Carlo particles corresponds to the modulus square of the many-body wave function at all times. However, in TDQMC the motion of particles and guide waves occurs in physical space unlike in stochastic quantization where it occurs in configuration space. Hence the practical calculation of time evolution of many-body fully correlated quantum systems becomes feasible within the TDQMC methodology. We illustrate the TDQMC technique by calculating the symmetric and antisymmetric ground state of a model one-dimensional Helium atom, and the time evolution of the dipole moment when the atom is irradiated by a strong ultrashort laser pulse.
physics.atom-ph
we examine the relation between the recently proposed timedependent quantum monte carlo tdqmc method and the principles of stochastic quantization in both tdqmc and stochastic quantization particle motion obeys stochastic guidance equations to preserve quantum equilibrium in this way the probability density of the monte carlo particles corresponds to the modulus square of the manybody wave function at all times however in tdqmc the motion of particles and guide waves occurs in physical space unlike in stochastic quantization where it occurs in configuration space hence the practical calculation of time evolution of manybody fully correlated quantum systems becomes feasible within the tdqmc methodology we illustrate the tdqmc technique by calculating the symmetric and antisymmetric ground state of a model onedimensional helium atom and the time evolution of the dipole moment when the atom is irradiated by a strong ultrashort laser pulse
[['we', 'examine', 'the', 'relation', 'between', 'the', 'recently', 'proposed', 'timedependent', 'quantum', 'monte', 'carlo', 'tdqmc', 'method', 'and', 'the', 'principles', 'of', 'stochastic', 'quantization', 'in', 'both', 'tdqmc', 'and', 'stochastic', 'quantization', 'particle', 'motion', 'obeys', 'stochastic', 'guidance', 'equations', 'to', 'preserve', 'quantum', 'equilibrium', 'in', 'this', 'way', 'the', 'probability', 'density', 'of', 'the', 'monte', 'carlo', 'particles', 'corresponds', 'to', 'the', 'modulus', 'square', 'of', 'the', 'manybody', 'wave', 'function', 'at', 'all', 'times', 'however', 'in', 'tdqmc', 'the', 'motion', 'of', 'particles', 'and', 'guide', 'waves', 'occurs', 'in', 'physical', 'space', 'unlike', 'in', 'stochastic', 'quantization', 'where', 'it', 'occurs', 'in', 'configuration', 'space', 'hence', 'the', 'practical', 'calculation', 'of', 'time', 'evolution', 'of', 'manybody', 'fully', 'correlated', 'quantum', 'systems', 'becomes', 'feasible', 'within', 'the', 'tdqmc', 'methodology', 'we', 'illustrate', 'the', 'tdqmc', 'technique', 'by', 'calculating', 'the', 'symmetric', 'and', 'antisymmetric', 'ground', 'state', 'of', 'a', 'model', 'onedimensional', 'helium', 'atom', 'and', 'the', 'time', 'evolution', 'of', 'the', 'dipole', 'moment', 'when', 'the', 'atom', 'is', 'irradiated', 'by', 'a', 'strong', 'ultrashort', 'laser', 'pulse']]
[-0.10837433590877352, 0.18497284372330558, -0.08085594029357353, 0.07303367456394835, 0.0019405077323845937, -0.1091159928312644, 0.029605240371583543, 0.36953965450326604, -0.27144280514276936, -0.2836328236756067, 0.03033968147900986, -0.25755560999333277, -0.13230269252989732, 0.14934755879180203, 0.027701972645264885, 0.0983398723472174, 0.06198471589245114, 0.002048825759255717, -0.09863618209773133, -0.18637133650200982, 0.2708026291340167, 0.08444061051106332, 0.2777790336981944, -0.010552442429507983, 0.14309725537070517, 0.06618079471117849, 0.013190230859958746, -0.010969336871602672, -0.13720171592125657, 0.062402259657516126, 0.20560752738478547, 0.06199829853701253, 0.26122481307569656, -0.47608750898734475, -0.21277079128178086, 0.07042886606410992, 0.1274864353819136, 0.1839555606959348, -0.05594006098859699, -0.30093782591296636, -0.0015193563489679326, -0.16421793859636952, -0.1608851325288679, -0.05757446440451957, 0.013068063955767251, 0.04724769478297218, -0.2543604514422886, 0.09843882253221797, 0.03200721577080693, -1.785377080136157e-05, -0.058634741557101515, -0.05657491642743983, -0.005761756099337804, 0.05107396852546239, 0.005343581943653841, 0.03764468703273657, 0.14282212060948846, -0.12127880633524651, -0.11406566953973461, 0.3998308479918022, -0.072275130580186, -0.20665990593116598, 0.13412707938865515, -0.16155868409373236, -0.09536808756252764, 0.16645675452743122, 0.1355745439939465, 0.15230513195315679, -0.15267810262774748, 0.12016145221960024, 0.024197035412248786, 0.13700024590473325, 0.025553702111752268, 0.026710159696823527, 0.19975343982669266, 0.17332689115837058, 0.0666661109471469, 0.1424515458378703, -0.1258651302592393, -0.2427783300637776, -0.29385562238435375, -0.17762251152055905, -0.23572296774797538, 0.0551598167168893, -0.0811927467381296, -0.17264394095524194, 0.37120234325911244, 0.17332418878556144, 0.10545805301220018, 0.01686405826934633, 0.2877002782221382, 0.18378261525302808, -0.01834557776121383, 0.04298109083447989, 0.2333370579195255, 0.18221262285769885, 0.08222221521204932, -0.29708700104623187, 0.04305658665492285, 0.08189616010999902]
706.358
Cusps of Hilbert modular varieties
Motivated by a question of Hirzebruch on the possible topological types of cusp cross-sections of Hilbert modular varieties, we give a necessary and sufficient condition for a manifold M to be diffeomorphic to a cusp cross-section of a Hilbert modular variety. Specialized to Hilbert modular surfaces, this proves that every Sol 3-manifold is diffeomorphic to a cusp cross-section of a (generalized) Hilbert modular surface. We also deduce an obstruction to geometric bounding in this setting. Consequently, there exist Sol 3-manifolds that cannot arise as a cusp cross-section of a 1-cusped nonsingular Hilbert modular surface.
math.GT math.DG
motivated by a question of hirzebruch on the possible topological types of cusp crosssections of hilbert modular varieties we give a necessary and sufficient condition for a manifold m to be diffeomorphic to a cusp crosssection of a hilbert modular variety specialized to hilbert modular surfaces this proves that every sol 3manifold is diffeomorphic to a cusp crosssection of a generalized hilbert modular surface we also deduce an obstruction to geometric bounding in this setting consequently there exist sol 3manifolds that cannot arise as a cusp crosssection of a 1cusped nonsingular hilbert modular surface
[['motivated', 'by', 'a', 'question', 'of', 'hirzebruch', 'on', 'the', 'possible', 'topological', 'types', 'of', 'cusp', 'crosssections', 'of', 'hilbert', 'modular', 'varieties', 'we', 'give', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'a', 'manifold', 'm', 'to', 'be', 'diffeomorphic', 'to', 'a', 'cusp', 'crosssection', 'of', 'a', 'hilbert', 'modular', 'variety', 'specialized', 'to', 'hilbert', 'modular', 'surfaces', 'this', 'proves', 'that', 'every', 'sol', '3manifold', 'is', 'diffeomorphic', 'to', 'a', 'cusp', 'crosssection', 'of', 'a', 'generalized', 'hilbert', 'modular', 'surface', 'we', 'also', 'deduce', 'an', 'obstruction', 'to', 'geometric', 'bounding', 'in', 'this', 'setting', 'consequently', 'there', 'exist', 'sol', '3manifolds', 'that', 'can', 'not', 'arise', 'as', 'a', 'cusp', 'crosssection', 'of', 'a', '1cusped', 'nonsingular', 'hilbert', 'modular', 'surface']]
[-0.2124671906845546, 0.06913150750042404, -0.1690790718519374, 0.12142326533181691, -0.12483122359814221, -0.17197409065832434, -0.045280736241195545, 0.2930849965171594, -0.2802118416336414, -0.20238939902107966, 0.08038219297672376, -0.19545228779806118, -0.20309560405654145, 0.2623652815696244, -0.1808498959302118, 0.05715367810702637, 0.07945913309721571, 0.06129149292644701, -0.10366611019034233, -0.32794949123145717, 0.48585652183545264, -0.01658930657063856, 0.18361252287500782, 0.1484689958307794, 0.11983015244492747, -0.01723960849309438, 0.06316525426840311, -0.01460500592120776, -0.1768069397224616, 0.16136068118442046, 0.36276800699139894, 0.04296885077400427, 0.1322492507139319, -0.4305009485305115, -0.15154082445231706, 0.201638225789525, 0.13609500946477054, -0.01680219159706643, -0.020634960586903617, -0.2589387509383653, 0.055020071051426624, -0.1456672447880632, -0.1943109489438173, -0.1302504278204747, 0.05674742701904554, -0.09544373900678597, -0.2190535764602062, -0.0260364381771069, 0.10288858773971074, 0.09880583467648217, -0.05867632425537235, -0.02695720420268021, -0.08130508024049432, 0.039547906840514194, -0.029529070013545846, 0.08060044687927553, 0.12865811750525608, -0.09230892298939197, -0.06157503309414575, 0.33358389597974325, -0.048015363668214135, -0.27861541184155564, 0.144933120484807, -0.14182471909168126, -0.18067434483060713, 0.21143538826880487, 0.153464787031867, 0.12090706731756463, -0.04091108208032031, 0.1767320263634534, -0.14502541270891303, 0.09815998100920727, 0.14382713456687174, -0.06800802796098747, 0.13648294004011213, 0.08823453159512658, 0.11559257781819293, 0.11376969106372838, -0.03890532664709578, -0.0006138215386798899, -0.39392592907442076, -0.2923313494771719, -0.12951081131437892, 0.17261716102167204, -0.08632465192640666, -0.24465104406209368, 0.3516926941020708, -0.03206933707145876, 0.2766451061262112, 0.10437656490769433, 0.21315331625703135, 0.04307843281605624, 0.09573552971215625, 0.04929363521208104, 0.1262455251067877, 0.18185448683063057, -0.05130113903555627, -0.0885364160229648, -0.045834902080854306, 0.15993460695700426]
706.3581
The Impact of Type Ia Supernova Explosions on their Companions in Binary System
Using a simple analytic method, we calculate the impact effect between the ejecta of a SN Ia and its companion to survey the influence of initial parameters of the progenitor's system, which is useful for searching the companion in a explosion remnant. The companion models are obtained from Eggleton's evolution code.The results are divided into two groups based on mass transfer stage. For a given condition, more hydrogen-rich material is stripped from the envelope of a Hertzsprung-gap companion than that of a main-sequence companion, while a larger kick velocity and a larger luminosity are gained for a main-sequence companion. The kick velocity is too low to significantly affect the final spatial velocity of the companion, which is mainly affected by the initial parameters of the progenitor systems. The spatial velocity of the stripped material has an upper limit within the range of 8000 - 9500 km/s, which only depends on the total kinetic energy of the explosion.The stripped mass, the ratio of the stripped mass to the companion mass and the kick velocity of the companion all significantly depend on the initial companion mass and orbital period. Our model may naturally explain the spatial velocity of the star G in the remnant of Tycho's supernova, while an energy-loss mechanism is needed to interpret its luminosity.
astro-ph
using a simple analytic method we calculate the impact effect between the ejecta of a sn ia and its companion to survey the influence of initial parameters of the progenitors system which is useful for searching the companion in a explosion remnant the companion models are obtained from eggletons evolution codethe results are divided into two groups based on mass transfer stage for a given condition more hydrogenrich material is stripped from the envelope of a hertzsprunggap companion than that of a mainsequence companion while a larger kick velocity and a larger luminosity are gained for a mainsequence companion the kick velocity is too low to significantly affect the final spatial velocity of the companion which is mainly affected by the initial parameters of the progenitor systems the spatial velocity of the stripped material has an upper limit within the range of 8000 9500 kms which only depends on the total kinetic energy of the explosionthe stripped mass the ratio of the stripped mass to the companion mass and the kick velocity of the companion all significantly depend on the initial companion mass and orbital period our model may naturally explain the spatial velocity of the star g in the remnant of tychos supernova while an energyloss mechanism is needed to interpret its luminosity
[['using', 'a', 'simple', 'analytic', 'method', 'we', 'calculate', 'the', 'impact', 'effect', 'between', 'the', 'ejecta', 'of', 'a', 'sn', 'ia', 'and', 'its', 'companion', 'to', 'survey', 'the', 'influence', 'of', 'initial', 'parameters', 'of', 'the', 'progenitors', 'system', 'which', 'is', 'useful', 'for', 'searching', 'the', 'companion', 'in', 'a', 'explosion', 'remnant', 'the', 'companion', 'models', 'are', 'obtained', 'from', 'eggletons', 'evolution', 'codethe', 'results', 'are', 'divided', 'into', 'two', 'groups', 'based', 'on', 'mass', 'transfer', 'stage', 'for', 'a', 'given', 'condition', 'more', 'hydrogenrich', 'material', 'is', 'stripped', 'from', 'the', 'envelope', 'of', 'a', 'hertzsprunggap', 'companion', 'than', 'that', 'of', 'a', 'mainsequence', 'companion', 'while', 'a', 'larger', 'kick', 'velocity', 'and', 'a', 'larger', 'luminosity', 'are', 'gained', 'for', 'a', 'mainsequence', 'companion', 'the', 'kick', 'velocity', 'is', 'too', 'low', 'to', 'significantly', 'affect', 'the', 'final', 'spatial', 'velocity', 'of', 'the', 'companion', 'which', 'is', 'mainly', 'affected', 'by', 'the', 'initial', 'parameters', 'of', 'the', 'progenitor', 'systems', 'the', 'spatial', 'velocity', 'of', 'the', 'stripped', 'material', 'has', 'an', 'upper', 'limit', 'within', 'the', 'range', 'of', '8000', '9500', 'kms', 'which', 'only', 'depends', 'on', 'the', 'total', 'kinetic', 'energy', 'of', 'the', 'explosionthe', 'stripped', 'mass', 'the', 'ratio', 'of', 'the', 'stripped', 'mass', 'to', 'the', 'companion', 'mass', 'and', 'the', 'kick', 'velocity', 'of', 'the', 'companion', 'all', 'significantly', 'depend', 'on', 'the', 'initial', 'companion', 'mass', 'and', 'orbital', 'period', 'our', 'model', 'may', 'naturally', 'explain', 'the', 'spatial', 'velocity', 'of', 'the', 'star', 'g', 'in', 'the', 'remnant', 'of', 'tychos', 'supernova', 'while', 'an', 'energyloss', 'mechanism', 'is', 'needed', 'to', 'interpret', 'its', 'luminosity']]
[-0.10586719175908821, 0.11773191948911789, -0.1027985035499196, 0.08196123091832809, -0.1411860720839316, -0.056516609072985384, 0.05042937109511681, 0.3660517490890442, -0.19621745081644912, -0.3174858193632692, 0.06838859680276452, -0.234570989866357, 0.0024844553979263767, 0.21207347102529453, -0.05022832163459493, -0.051632690879845136, 0.15289610575098916, 0.024021263639288137, -0.1386849105797302, -0.2665471414110173, 0.34982283681330945, 0.07049440589989425, 0.13555386058889082, 0.01092997480429912, 0.09727982538410185, -0.08272428850321126, -0.021596693315336885, -0.07565209207729706, -0.15311979926076097, 0.04767634512159214, 0.11746142318493853, 0.1440623027070589, 0.2293186579517561, -0.3405328674497904, -0.22699676834099808, 0.062430794297836684, 0.2027748667952821, 0.0708966997029454, -0.06762990479169124, -0.2705696974064431, 0.09267126413512428, -0.2782351082826466, -0.16626412057101514, 0.10871629042868719, 0.07534637987631333, 0.05723771026911947, -0.2501627138784923, 0.15309513263157193, 0.058222627659798354, 0.03517651461245232, -0.11453934739149613, -0.1381441770216353, -0.11268563522908713, 0.06328712549872732, 0.06472397410427772, 0.042915050803255556, 0.14644653585814468, -0.13864443171990073, 0.06923908809579521, 0.41731678683893375, -0.056152633222835736, -0.07882489591960518, 0.21784159078227436, -0.18003103920254168, -0.08240413216220753, 0.17835755848438342, 0.1904003695161104, 0.11004134593972874, -0.17295101703910412, -0.02420412321115394, -0.011604049969111432, 0.19851553776429445, 0.02503502986866151, 0.04445159311729215, 0.3201787646559742, 0.14750663706010994, 0.012250804404675148, 0.07560404934434847, -0.18094627918141465, -0.02663181392670172, -0.22815263569266733, -0.10624357802855178, -0.20779680255005992, 0.07547462920843673, -0.13835864277392124, -0.1132465562268968, 0.37977400989717497, 0.13879021843376688, 0.2515365895848298, -0.002047700366618827, 0.30605079062609664, 0.136819658455024, 0.09931679971945655, 0.11220788136257026, 0.31487393743354136, 0.21499762480848986, 0.10791122838766513, -0.2745263137483872, 0.10523098048100786, 0.05489776693218304]
706.3582
Bohr and Rogosinski abscissas for ordinary Dirichlet series
We prove that the abscissas of Bohr and Rogosinski for ordinary Dirichlet series, mapping the right half-plane into the bounded convex domain $G\subset \mathbb{C} $ are independent of the domain $G$. Furthermore, we obtain new estimates about these abscissas.
math.CV math.CA
we prove that the abscissas of bohr and rogosinski for ordinary dirichlet series mapping the right halfplane into the bounded convex domain gsubset mathbbc are independent of the domain g furthermore we obtain new estimates about these abscissas
[['we', 'prove', 'that', 'the', 'abscissas', 'of', 'bohr', 'and', 'rogosinski', 'for', 'ordinary', 'dirichlet', 'series', 'mapping', 'the', 'right', 'halfplane', 'into', 'the', 'bounded', 'convex', 'domain', 'gsubset', 'mathbbc', 'are', 'independent', 'of', 'the', 'domain', 'g', 'furthermore', 'we', 'obtain', 'new', 'estimates', 'about', 'these', 'abscissas']]
[-0.13583364579323176, 0.0238135737442487, -0.061707180446466885, 0.04082498759836764, -0.17755507843921314, -0.09702647187923258, 0.035405257213357334, 0.38812398507788376, -0.3638821563909988, -0.1318880336208118, 0.19321098678267082, -0.3022478717203076, -0.04904197976999992, 0.23273778257488803, -0.10196554628074975, 0.029580627719091403, 0.020635924075503607, 0.09682128945919308, -0.09007164956120825, -0.2503131406029334, 0.3586749065969441, -0.18429294125353163, 0.17424144575724732, 0.04528925029208531, 0.1240058463771601, -0.007395703874125674, -0.008875982533838297, -0.07069935523779006, -0.2432078066782639, 0.17926609506075447, 0.23965528154292623, 0.08153146992550024, 0.2873871931554498, -0.44065931942817327, -0.14970179438288952, 0.16158886271453388, 0.18454134206262393, -0.08236206073716686, 0.01828811321457898, -0.3507272837230483, 0.12236345891614218, -0.05426859386214936, -0.11195466565471646, -0.08434521351513025, 0.05344219963896919, 0.04920163650279613, -0.3359218018280493, 0.06471266392366709, 0.1482723800817857, 0.060204236340281124, -0.12519836613304308, -0.1825354142315887, 0.013458050120420553, 0.1330891295487212, 0.015623044927377958, 0.07065762868906195, 0.048594686618024435, -0.03440947848296649, -0.03417315923080251, 0.31122673645212845, -0.06819378048483585, -0.2511948842454601, 0.08621847992007797, -0.259069549750436, -0.12809895419018544, 0.03661690715297654, 0.112298098833275, 0.1762923768444641, -0.07357380471217471, 0.21256830120251538, -0.1490260250866413, 0.1325462049980824, 0.13503295413495317, -0.026184304126513167, 0.11642099635021107, 0.061566839818968565, 0.17792530357837677, 0.16822552645730005, 0.01425414001317443, -0.03588373888586018, -0.3994856998324394, -0.16128608443447062, -0.1922440795680961, 0.0954886072356965, -0.16120854919938357, -0.21915932117986517, 0.3596567612242054, 0.09272530367849646, 0.17369244600067268, 0.15474045055138097, 0.16814955716600288, 0.1614542660882344, -0.024448839381236483, 0.053535111424689356, 0.08454550460383699, 0.155245678499341, -0.029151158004596427, -0.14721242928676107, -0.043697138417612864, 0.15347408148502567]
706.3583
Outflow and dense gas emission from massive Infrared Dark Clouds
Infrared Dark Clouds are expected to harbor sources in different, very young evolutionary stages. To better characterize these differences, we observed a sample of 43 massive Infrared Dark Clouds, originally selected as candidate high-mass starless cores, with the IRAM 30m telescope covering spectral line tracers of low-density gas, high-density gas, molecular outflows/jets and temperature effects. The SiO(2-1) observations reveal detections toward 18 sources. Assuming that SiO is exclusively produced by sputtering from dust grains, this implies that at least in 40% of this sample star formation is on-going. A broad range of SiO line-widths is observed (between 2.2 and 65km/s), and we discuss potential origins for this velocity spread. While the low-density tracers 12CO(2-1) and 13CO(1-0) are detected in several velocity components, the high-density tracer H13CO+(1--0) generally shows only a single velocity component and is hence well suited for kinematic distance estimates of IRDCs. Furthermore, the H13CO+ line-width is on average 1.5 times larger than that of previously observed NH3(1,1). This is indicative of more motion at the denser core centers, either due to turbulence or beginning star formation activity. In addition, we detect CH3CN toward only six sources whereas CH3OH is observed toward approximately 40% of the sample. Estimates of the CH3CN and CH3OH abundances are low with average values of 1.2x10^{-10} and 4.3x10^{-10}, respectively. These results are consistent with chemical models at the earliest evolutionary stages of high-mass star formation. Furthermore, the CH3OH abundances compare well to recently reported values for low-mass starless cores.
astro-ph
infrared dark clouds are expected to harbor sources in different very young evolutionary stages to better characterize these differences we observed a sample of 43 massive infrared dark clouds originally selected as candidate highmass starless cores with the iram 30m telescope covering spectral line tracers of lowdensity gas highdensity gas molecular outflowsjets and temperature effects the sio21 observations reveal detections toward 18 sources assuming that sio is exclusively produced by sputtering from dust grains this implies that at least in 40 of this sample star formation is ongoing a broad range of sio linewidths is observed between 22 and 65kms and we discuss potential origins for this velocity spread while the lowdensity tracers 12co21 and 13co10 are detected in several velocity components the highdensity tracer h13co10 generally shows only a single velocity component and is hence well suited for kinematic distance estimates of irdcs furthermore the h13co linewidth is on average 15 times larger than that of previously observed nh311 this is indicative of more motion at the denser core centers either due to turbulence or beginning star formation activity in addition we detect ch3cn toward only six sources whereas ch3oh is observed toward approximately 40 of the sample estimates of the ch3cn and ch3oh abundances are low with average values of 12x1010 and 43x1010 respectively these results are consistent with chemical models at the earliest evolutionary stages of highmass star formation furthermore the ch3oh abundances compare well to recently reported values for lowmass starless cores
[['infrared', 'dark', 'clouds', 'are', 'expected', 'to', 'harbor', 'sources', 'in', 'different', 'very', 'young', 'evolutionary', 'stages', 'to', 'better', 'characterize', 'these', 'differences', 'we', 'observed', 'a', 'sample', 'of', '43', 'massive', 'infrared', 'dark', 'clouds', 'originally', 'selected', 'as', 'candidate', 'highmass', 'starless', 'cores', 'with', 'the', 'iram', '30m', 'telescope', 'covering', 'spectral', 'line', 'tracers', 'of', 'lowdensity', 'gas', 'highdensity', 'gas', 'molecular', 'outflowsjets', 'and', 'temperature', 'effects', 'the', 'sio21', 'observations', 'reveal', 'detections', 'toward', '18', 'sources', 'assuming', 'that', 'sio', 'is', 'exclusively', 'produced', 'by', 'sputtering', 'from', 'dust', 'grains', 'this', 'implies', 'that', 'at', 'least', 'in', '40', 'of', 'this', 'sample', 'star', 'formation', 'is', 'ongoing', 'a', 'broad', 'range', 'of', 'sio', 'linewidths', 'is', 'observed', 'between', '22', 'and', '65kms', 'and', 'we', 'discuss', 'potential', 'origins', 'for', 'this', 'velocity', 'spread', 'while', 'the', 'lowdensity', 'tracers', '12co21', 'and', '13co10', 'are', 'detected', 'in', 'several', 'velocity', 'components', 'the', 'highdensity', 'tracer', 'h13co10', 'generally', 'shows', 'only', 'a', 'single', 'velocity', 'component', 'and', 'is', 'hence', 'well', 'suited', 'for', 'kinematic', 'distance', 'estimates', 'of', 'irdcs', 'furthermore', 'the', 'h13co', 'linewidth', 'is', 'on', 'average', '15', 'times', 'larger', 'than', 'that', 'of', 'previously', 'observed', 'nh311', 'this', 'is', 'indicative', 'of', 'more', 'motion', 'at', 'the', 'denser', 'core', 'centers', 'either', 'due', 'to', 'turbulence', 'or', 'beginning', 'star', 'formation', 'activity', 'in', 'addition', 'we', 'detect', 'ch3cn', 'toward', 'only', 'six', 'sources', 'whereas', 'ch3oh', 'is', 'observed', 'toward', 'approximately', '40', 'of', 'the', 'sample', 'estimates', 'of', 'the', 'ch3cn', 'and', 'ch3oh', 'abundances', 'are', 'low', 'with', 'average', 'values', 'of', '12x1010', 'and', '43x1010', 'respectively', 'these', 'results', 'are', 'consistent', 'with', 'chemical', 'models', 'at', 'the', 'earliest', 'evolutionary', 'stages', 'of', 'highmass', 'star', 'formation', 'furthermore', 'the', 'ch3oh', 'abundances', 'compare', 'well', 'to', 'recently', 'reported', 'values', 'for', 'lowmass', 'starless', 'cores']]
[-0.06059137313396252, 0.1265265900841249, -0.024262538793667847, 0.04940517613502714, -0.03899315653691943, -0.05295956887195495, 0.03411983732058078, 0.459494286007723, -0.12001756096391805, -0.36403429760996786, 0.06412689786366359, -0.2615254976425548, 0.006359779793883161, 0.1300425445565916, 0.02657332891142186, -0.047557355817858776, 0.04164682643925201, -0.12189622491655148, -0.031076854543893466, -0.2113361242594024, 0.26888765992254626, 0.09686984638778531, 0.1710358649663323, -0.007847296299498376, 0.03780128265854579, -0.23582006203086706, -0.08895677267193643, -0.04106794858769495, -0.1444059562883328, 0.03449790251574346, 0.2816457346820169, 0.09142096504302961, 0.18024713928877775, -0.3570086154360051, -0.237299122923643, 0.08550805603676685, 0.210319255963348, 0.05118361591000338, -0.033494500129196164, -0.28411212754340803, 0.08288419956759531, -0.1341383255680795, -0.19269133677459035, 0.0700972885663184, 0.07035017164842207, 0.05434975871193812, -0.2147327275333774, 0.1701218121590055, -0.04468903181746564, 0.10319846920593052, -0.12006839612422852, -0.2110826239617047, -0.07735286837049322, 0.045336376011789754, -0.04312924409893398, 0.07228169587336253, 0.23727059719955776, -0.14505321981898528, -0.03159721927379961, 0.393846809681581, -0.10336961513699973, 0.025735079662456195, 0.3080891426956775, -0.22512287353165447, -0.2562854150538238, 0.22489464098055448, 0.11649811446514664, 0.1396680083363412, -0.14709343452158632, -0.08272573141421534, -0.02272562580658313, 0.22315180950170876, 0.09805317579207903, 0.09208813015447588, 0.33026337220276497, 0.10594562741414625, 0.04704835296638799, 0.13314457644128755, -0.2647406094298907, -0.11587791266490002, -0.2003045577365829, -0.1394645508692353, -0.11815625767613172, 0.06587059262888126, -0.11933862879374588, -0.06494523687406956, 0.2586438748415332, 0.08789088053264113, 0.22436677840519317, 0.043115586742796766, 0.30701920185238124, 0.04680065844084459, 0.1177144988040839, 0.1446987313655566, 0.27098773648886354, 0.18926926458976706, 0.12458366610546957, -0.2320885100592004, 0.10516241530564671, -0.04395297674880344]
706.3584
Calorimetric Evidence for a Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in the Layered Organic Superconductor \kappa$-(BEDT-TTF)$_2$Cu(NCS)$_2$
The specific heat of the layered organic superconductor $\kappa$-% (BEDT-TTF)$_2$Cu(NCS)$_2$, where BEDT-TTF is bisethylenedithio-% tetrathiafulvalene, has been studied in magnetic fields up to 28 T applied perpendicular and parallel to the superconducting layers. In parallel fields above 21 T, the superconducting transition becomes first order, which signals that the Pauli-limiting field is reached. Instead of saturating at this field value, the upper critical field increases sharply and a second first-order transition line appears within the superconducting phase. Our results give strong evidence that the phase, which separates the homogeneous superconducting state from the normal state is a realization of a Fulde-Ferrell-Larkin-Ovchinnikov state.
cond-mat.supr-con cond-mat.str-el
the specific heat of the layered organic superconductor kappa bedtttf_2cuncs_2 where bedtttf is bisethylenedithio tetrathiafulvalene has been studied in magnetic fields up to 28 t applied perpendicular and parallel to the superconducting layers in parallel fields above 21 t the superconducting transition becomes first order which signals that the paulilimiting field is reached instead of saturating at this field value the upper critical field increases sharply and a second firstorder transition line appears within the superconducting phase our results give strong evidence that the phase which separates the homogeneous superconducting state from the normal state is a realization of a fuldeferrelllarkinovchinnikov state
[['the', 'specific', 'heat', 'of', 'the', 'layered', 'organic', 'superconductor', 'kappa', 'bedtttf_2cuncs_2', 'where', 'bedtttf', 'is', 'bisethylenedithio', 'tetrathiafulvalene', 'has', 'been', 'studied', 'in', 'magnetic', 'fields', 'up', 'to', '28', 't', 'applied', 'perpendicular', 'and', 'parallel', 'to', 'the', 'superconducting', 'layers', 'in', 'parallel', 'fields', 'above', '21', 't', 'the', 'superconducting', 'transition', 'becomes', 'first', 'order', 'which', 'signals', 'that', 'the', 'paulilimiting', 'field', 'is', 'reached', 'instead', 'of', 'saturating', 'at', 'this', 'field', 'value', 'the', 'upper', 'critical', 'field', 'increases', 'sharply', 'and', 'a', 'second', 'firstorder', 'transition', 'line', 'appears', 'within', 'the', 'superconducting', 'phase', 'our', 'results', 'give', 'strong', 'evidence', 'that', 'the', 'phase', 'which', 'separates', 'the', 'homogeneous', 'superconducting', 'state', 'from', 'the', 'normal', 'state', 'is', 'a', 'realization', 'of', 'a', 'fuldeferrelllarkinovchinnikov', 'state']]
[-0.21123535939492286, 0.24469918688293546, -0.011728835878893734, -0.02509725785581395, -0.06391298558097333, -0.13952683829236776, 0.1033249871712178, 0.3350125411711633, -0.21639098305488005, -0.2711256616562605, 0.04387854736065492, -0.2886121538281441, -0.05048217473551631, 0.16373807228170334, 0.08539336352376267, -0.0047517400840297345, -0.07908857841277495, 0.08163577370345593, -0.1330997463827953, -0.21565646841889247, 0.3246397431567311, -0.017927691042423248, 0.3663140835799277, 0.054028793815523384, 0.045136699718423184, -0.0916396916564554, 0.1545495755923912, 0.04748971853870899, -0.14220028965341044, -0.010587356965988875, 0.27424273220822215, -0.043996362427715215, 0.20647161720960866, -0.4002637193351984, -0.22042055623140186, 0.07247750484850257, 0.12625566727831028, 0.13008515363326295, -0.03885961003601551, -0.273859717057785, 0.06618330969009549, -0.09570311171235517, -0.10337188062258065, -0.039268341096612855, 0.0019480051833670586, -0.031499701673164966, -0.26227207232266664, 0.07576131142675877, 0.1058918020548299, 0.06549720435839845, -0.06360677442513406, -0.12591240492649378, -0.030379322951193898, 0.043301971065811816, 0.006120206799823791, 0.1667255603754893, 0.13074048893147847, -0.16753458430757745, -0.06864480128511787, 0.2968971455609426, -0.08593655561675405, -0.029148824438452722, 0.15319525462575256, -0.16306457500206306, -0.07850728342920775, 0.20680047120898962, 0.10387595914449775, 0.09501594403991476, -0.10587542505003512, 0.0913102217449341, -0.01453271855134517, 0.20300181038677692, 0.03064857893856242, 0.0018295345455408096, 0.23051276322454214, 0.1890103769209236, 0.06747102389112115, 0.20158496756339445, -0.12784965416416527, -0.11147364811040461, -0.28933790865528863, -0.21557327910792082, -0.1959423581091687, 0.040130725195631385, -0.06555212691397173, -0.2088901560474187, 0.3797339880047366, 0.15943607546170824, 0.19980861602060032, -0.06775832396699116, 0.24957183337770403, 0.1556317699572537, 0.07926043976098299, 0.0902678357763216, 0.2781152714043856, 0.22493902883492412, 0.16438572346232833, -0.23246251563105033, 0.05656119309714995, -0.00037177903577685357]
706.3585
Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
We study a mechanism to produce the circular polarization of primordial gravitational waves. The circular polarization is generated during the super-inflation driven by the Gauss-Bonnet term in the string-inspired cosmology. The instability in the tensor mode caused by the Gauss-Bonnet term and the parity violation due to the gravitational Chern-Simons term are the essential ingredients of the mechanism. We also discuss detectability of the produced circular polarization of gravitational waves. It turns out that the simple model of single-field inflation contradicts CMB observations. To circumvent this difficulty, we propose a two-field inflation model. In this two-field model, the circular polarization of gravitational waves is created in the frequency range designed by the Big-Bang Observer (BBO) or the deci-hertz gravitational-wave observatory (DECIGO).
astro-ph gr-qc hep-th
we study a mechanism to produce the circular polarization of primordial gravitational waves the circular polarization is generated during the superinflation driven by the gaussbonnet term in the stringinspired cosmology the instability in the tensor mode caused by the gaussbonnet term and the parity violation due to the gravitational chernsimons term are the essential ingredients of the mechanism we also discuss detectability of the produced circular polarization of gravitational waves it turns out that the simple model of singlefield inflation contradicts cmb observations to circumvent this difficulty we propose a twofield inflation model in this twofield model the circular polarization of gravitational waves is created in the frequency range designed by the bigbang observer bbo or the decihertz gravitationalwave observatory decigo
[['we', 'study', 'a', 'mechanism', 'to', 'produce', 'the', 'circular', 'polarization', 'of', 'primordial', 'gravitational', 'waves', 'the', 'circular', 'polarization', 'is', 'generated', 'during', 'the', 'superinflation', 'driven', 'by', 'the', 'gaussbonnet', 'term', 'in', 'the', 'stringinspired', 'cosmology', 'the', 'instability', 'in', 'the', 'tensor', 'mode', 'caused', 'by', 'the', 'gaussbonnet', 'term', 'and', 'the', 'parity', 'violation', 'due', 'to', 'the', 'gravitational', 'chernsimons', 'term', 'are', 'the', 'essential', 'ingredients', 'of', 'the', 'mechanism', 'we', 'also', 'discuss', 'detectability', 'of', 'the', 'produced', 'circular', 'polarization', 'of', 'gravitational', 'waves', 'it', 'turns', 'out', 'that', 'the', 'simple', 'model', 'of', 'singlefield', 'inflation', 'contradicts', 'cmb', 'observations', 'to', 'circumvent', 'this', 'difficulty', 'we', 'propose', 'a', 'twofield', 'inflation', 'model', 'in', 'this', 'twofield', 'model', 'the', 'circular', 'polarization', 'of', 'gravitational', 'waves', 'is', 'created', 'in', 'the', 'frequency', 'range', 'designed', 'by', 'the', 'bigbang', 'observer', 'bbo', 'or', 'the', 'decihertz', 'gravitationalwave', 'observatory', 'decigo']]
[-0.20765756541855387, 0.2016091262921691, -0.06639414240051954, 0.11472680040996922, -0.13298291495947306, -0.105456745232771, -0.06515608490868048, 0.27383452807822506, -0.2633819900730178, -0.2589505817202374, 0.04266540825459336, -0.2574720349940202, -0.15917162889853304, 0.16213293343999863, 0.013656640379143156, 0.033196630395086836, 0.023324745976604708, -0.042667591855822765, 0.010583427174724946, -0.18982990940047567, 0.33334424397484824, 0.19780992275519557, 0.22163834884639613, -0.007570834703404795, 0.09638228673056877, -0.04931313345547427, -0.03376812534021937, -0.017184905738623673, -0.12038172808051742, 0.022286204921374144, 0.1613166536597058, 0.1578403511354007, 0.1961581679330446, -0.4430161307542777, -0.26160807909216915, 0.15889334016718154, 0.05421888704550229, 0.19657212406520017, -0.042666167471065254, -0.31962834966315096, 0.01702572176356084, -0.20773696214391674, -0.15237452317806624, -0.021599608917974612, 0.006842440386756885, -0.0810473143750386, -0.24322107281104838, 0.09069140321427903, 0.05449503750880903, -0.05758023147340402, -0.05076070759091372, -0.007831894338500402, -0.04081963763133553, -0.03446271756571556, 0.14406630574737114, 0.04791761739064039, 0.13453510818879835, -0.14114219971647687, -0.11125430614064055, 0.42740428931087504, -0.19068099678424763, -0.13992488201638328, 0.07532262738432335, -0.19180925965236023, -0.12747231407922285, 0.08609877390140468, 0.14414593041297202, 0.13216579598105274, -0.10427703276903884, 0.12830087989674543, 0.0765252584006545, 0.16609384676957242, 0.17717682763795592, 0.03302546210917991, 0.4124880182010329, 0.10793922694538496, 0.01694068488951634, 0.16254293955554647, -0.1304916476822482, -0.03790755435239431, -0.37203765949927087, -0.04827107110951665, -0.14417905133474457, 0.03514061299295065, -0.11109261806996074, -0.16027992185636247, 0.43100675036899805, 0.17127963848227312, 0.1114402929920326, 0.026247568313063175, 0.3091145841527946, 0.09814866286633182, 0.05232782899940864, 0.006781179088452631, 0.4345645977772026, 0.1336368385025046, 0.14790621133807907, -0.2844024702044558, 0.00011767421595074914, 0.04328997704404414]
706.3586
Graceful exit via polymerization of pre-big bang cosmology
We consider a phenomenological modification of the Pre Big Bang scenario using ideas from the resolution of curvature singularities in Loop Quantum Cosmology. We show that non-perturbative Loop modifications to the dynamics, arising from the underlying polymer representation, can resolve the graceful exit problem. The curvature and the dilaton energy stay finite at all times, in both the string and Einstein frames. In the string frame, the dilaton tends to a constant value at late times after the bounce.
hep-th gr-qc
we consider a phenomenological modification of the pre big bang scenario using ideas from the resolution of curvature singularities in loop quantum cosmology we show that nonperturbative loop modifications to the dynamics arising from the underlying polymer representation can resolve the graceful exit problem the curvature and the dilaton energy stay finite at all times in both the string and einstein frames in the string frame the dilaton tends to a constant value at late times after the bounce
[['we', 'consider', 'a', 'phenomenological', 'modification', 'of', 'the', 'pre', 'big', 'bang', 'scenario', 'using', 'ideas', 'from', 'the', 'resolution', 'of', 'curvature', 'singularities', 'in', 'loop', 'quantum', 'cosmology', 'we', 'show', 'that', 'nonperturbative', 'loop', 'modifications', 'to', 'the', 'dynamics', 'arising', 'from', 'the', 'underlying', 'polymer', 'representation', 'can', 'resolve', 'the', 'graceful', 'exit', 'problem', 'the', 'curvature', 'and', 'the', 'dilaton', 'energy', 'stay', 'finite', 'at', 'all', 'times', 'in', 'both', 'the', 'string', 'and', 'einstein', 'frames', 'in', 'the', 'string', 'frame', 'the', 'dilaton', 'tends', 'to', 'a', 'constant', 'value', 'at', 'late', 'times', 'after', 'the', 'bounce']]
[-0.1291115177689191, 0.16069936184094677, -0.13329594428695243, 0.10816522112375573, -0.050746905363954695, -0.16783934311729065, -0.02034926130672139, 0.3275777905637139, -0.28080967870316925, -0.24461350427303888, 0.09689874876779798, -0.2660726496266036, -0.07647231588423063, 0.10185715875623724, -0.08120605594749693, 0.01639429096698384, 0.06385977020711178, 0.10740862805632097, -0.09432191551365313, -0.2338990583762385, 0.3584037650084783, 0.0920780507679675, 0.2077397308901801, 0.06501877498871918, 0.12164732276851052, -0.04330224269276037, 0.001025478497053249, 0.02659132120588535, -0.18502363427647145, 0.029423466042167494, 0.1968190771191605, 0.11301047642585597, 0.23856714221435565, -0.4673918045208424, -0.2583132018394108, 0.11404319435263736, 0.10511115156821435, 0.19169271401353652, -0.01717787857249945, -0.2724295602728247, 0.08222340477027788, -0.10824097919018491, -0.12710558284734247, 0.006890847076532207, -0.010584473493508995, -0.11093314577931468, -0.18761861982277914, 0.09505058619889277, -0.019959947495143626, -0.06862094635261765, -0.051264248254909356, -0.040076541673109124, 0.038961596810553646, 0.10647341512332234, 0.11706324221560425, 0.04955022250408236, 0.14519173176841269, -0.18058740471407206, -0.10541702047744884, 0.39112342568703845, -0.14214242751934106, -0.1250938964901563, 0.08530372303993075, -0.15701048710395263, -0.11209594956717064, 0.11876401904074452, 0.10819848113003647, 0.09065657124347702, -0.07553135809677217, 0.18941625383169733, 0.08919879912009722, 0.12103543919805862, 0.17667397178850974, 0.00039807906893046596, 0.2816520028900874, 0.09894516188179768, 0.0068352419081368024, 0.07431849776000916, -0.06459849826472847, -0.178805497799163, -0.430199701716251, -0.1271743241556083, -0.12806893504501757, 0.129663087663394, -0.1928930398238133, -0.16119884470878523, 0.37888651869047574, 0.0949983588490588, 0.24054631278437527, 0.07994165613398521, 0.2708607594235034, 0.05100392131724312, 0.04468655972918378, 0.09905193758173551, 0.24274864708827926, 0.11486538997085034, 0.16094327096744807, -0.27380924878341345, -0.07799041412381714, 0.10871906348657381]
706.3587
Dark energy models toward observational tests and data
A huge amount of good quality astrophysical data converges towards the picture of a spatially flat universe undergoing the today observed phase of accelerated expansion. This new observational trend is commonly addressed as Precision Cosmology. Despite of the quality of astrophysical surveys, the nature of dark energy dominating the matter-energy content of the universe is still unknown and a lot of different scenarios are viable candidates to explain cosmic acceleration. Methods to test these cosmological models are based on distance measurements and lookback time toward astronomical objects used as standard candles. I discuss the characterizing parameters and constraints of three different classes of dark energy models pointing out the related degeneracy problem which is the signal that more data at low (z= 0- 1), medium (1<z<10) and high (10 <z< 1000) redshift are needed to definitively select realistic models.
astro-ph
a huge amount of good quality astrophysical data converges towards the picture of a spatially flat universe undergoing the today observed phase of accelerated expansion this new observational trend is commonly addressed as precision cosmology despite of the quality of astrophysical surveys the nature of dark energy dominating the matterenergy content of the universe is still unknown and a lot of different scenarios are viable candidates to explain cosmic acceleration methods to test these cosmological models are based on distance measurements and lookback time toward astronomical objects used as standard candles i discuss the characterizing parameters and constraints of three different classes of dark energy models pointing out the related degeneracy problem which is the signal that more data at low z 0 1 medium 1z10 and high 10 z 1000 redshift are needed to definitively select realistic models
[['a', 'huge', 'amount', 'of', 'good', 'quality', 'astrophysical', 'data', 'converges', 'towards', 'the', 'picture', 'of', 'a', 'spatially', 'flat', 'universe', 'undergoing', 'the', 'today', 'observed', 'phase', 'of', 'accelerated', 'expansion', 'this', 'new', 'observational', 'trend', 'is', 'commonly', 'addressed', 'as', 'precision', 'cosmology', 'despite', 'of', 'the', 'quality', 'of', 'astrophysical', 'surveys', 'the', 'nature', 'of', 'dark', 'energy', 'dominating', 'the', 'matterenergy', 'content', 'of', 'the', 'universe', 'is', 'still', 'unknown', 'and', 'a', 'lot', 'of', 'different', 'scenarios', 'are', 'viable', 'candidates', 'to', 'explain', 'cosmic', 'acceleration', 'methods', 'to', 'test', 'these', 'cosmological', 'models', 'are', 'based', 'on', 'distance', 'measurements', 'and', 'lookback', 'time', 'toward', 'astronomical', 'objects', 'used', 'as', 'standard', 'candles', 'i', 'discuss', 'the', 'characterizing', 'parameters', 'and', 'constraints', 'of', 'three', 'different', 'classes', 'of', 'dark', 'energy', 'models', 'pointing', 'out', 'the', 'related', 'degeneracy', 'problem', 'which', 'is', 'the', 'signal', 'that', 'more', 'data', 'at', 'low', 'z', '0', '1', 'medium', '1z10', 'and', 'high', '10', 'z', '1000', 'redshift', 'are', 'needed', 'to', 'definitively', 'select', 'realistic', 'models']]
[-0.10228442792234634, 0.12252382300928127, -0.06378118068033414, 0.1383925440315854, -0.10352030593613766, -0.13252076504269628, 0.023444797230629828, 0.37746121595017346, -0.2399774698821975, -0.3878039738335881, 0.0880851578536919, -0.2653242192237819, 0.019169021391128895, 0.19801510447006432, -0.009544235714018724, 0.029866329595285783, 0.03466533101331309, -0.03998507941208726, -0.033354546466784506, -0.27941643875494276, 0.30075647783123977, 0.1465771839746254, 0.26692001057307996, -0.03492540941429626, 0.1047491092157798, -0.12595954567207385, -0.11310623943966498, -0.009690993210877017, -0.1577462740479604, 0.05043778329268567, 0.2574582966414886, 0.17388161316366613, 0.2553964141293985, -0.3712355813761945, -0.23988819790655652, 0.16372018062891505, 0.15102144923118083, 0.09300818310953382, -0.08449925252761133, -0.2516371737261095, 0.0499167584432222, -0.14274381315536636, -0.14128562535675201, -0.018594193560399597, 0.017220781405838274, 0.013669915617905933, -0.208809045083124, 0.144858110310818, -0.04638712974466223, -0.0049556360760931485, -0.08641713684451559, -0.12229237107312133, -0.0004732958543643677, 0.08815942655431389, 0.08234700362663716, 0.05989160781002623, 0.13968509598132625, -0.1853245544237279, -0.07279728996909136, 0.4525088220298719, -0.07005888760833592, -0.09486017396954967, 0.21587045150038472, -0.14885188718225886, -0.1681321038489344, 0.12254000254471203, 0.15712068767266738, 0.08710476284404453, -0.17022751502629047, 0.07289697766901168, 0.03565770083462163, 0.17400766556358915, 0.03371009719390556, 0.06924198609073277, 0.3167848006802068, 0.17295473830426017, 0.01994409541626253, 0.023908896823983183, -0.11587785943679298, -0.05432266547686333, -0.3098668853665213, -0.11763819120447452, -0.15884326794436002, 0.060581029931304424, -0.15241329857146554, -0.1329292866381274, 0.3508177750112435, 0.17025345651660678, 0.21021329969663521, 0.013031101164997642, 0.3085027448330477, 0.029889202387768963, 0.034502741602448775, 0.035793720513394627, 0.28462189052709574, 0.09171797189084317, 0.10930080047520481, -0.15191164348448674, 0.06344534418873972, -0.04559933794528353]
706.3588
A new type fit for the CKM matrix elements
The aim of the paper is to propose a new type of fits in terms of invariant quantities for finding the entries of the CKM matrix from the quark sector, by using the mathematical solution to the reconstruction problem of 3 x 3 unitary matrices from experimental data, recently found. The necessity of this type of fit comes from the compatibility conditions between the data and the theoretical model formalised by the CKM matrix, which imply many strong nonlinear conditions on moduli which all have to be satisfied in order to obtain a unitary matrix.
hep-ph
the aim of the paper is to propose a new type of fits in terms of invariant quantities for finding the entries of the ckm matrix from the quark sector by using the mathematical solution to the reconstruction problem of 3 x 3 unitary matrices from experimental data recently found the necessity of this type of fit comes from the compatibility conditions between the data and the theoretical model formalised by the ckm matrix which imply many strong nonlinear conditions on moduli which all have to be satisfied in order to obtain a unitary matrix
[['the', 'aim', 'of', 'the', 'paper', 'is', 'to', 'propose', 'a', 'new', 'type', 'of', 'fits', 'in', 'terms', 'of', 'invariant', 'quantities', 'for', 'finding', 'the', 'entries', 'of', 'the', 'ckm', 'matrix', 'from', 'the', 'quark', 'sector', 'by', 'using', 'the', 'mathematical', 'solution', 'to', 'the', 'reconstruction', 'problem', 'of', '3', 'x', '3', 'unitary', 'matrices', 'from', 'experimental', 'data', 'recently', 'found', 'the', 'necessity', 'of', 'this', 'type', 'of', 'fit', 'comes', 'from', 'the', 'compatibility', 'conditions', 'between', 'the', 'data', 'and', 'the', 'theoretical', 'model', 'formalised', 'by', 'the', 'ckm', 'matrix', 'which', 'imply', 'many', 'strong', 'nonlinear', 'conditions', 'on', 'moduli', 'which', 'all', 'have', 'to', 'be', 'satisfied', 'in', 'order', 'to', 'obtain', 'a', 'unitary', 'matrix']]
[-0.06115989839462073, 0.08300885907129238, -0.07680018863787777, 0.030346953400753832, -0.05069666205856361, -0.10476843734320841, 0.05499705953744093, 0.29093247013852785, -0.2864839454622645, -0.2984071927880378, 0.13348266311529045, -0.2564167215586885, -0.1336957408629946, 0.1524115906905775, -0.05065648635163119, 0.11158026970530811, 0.07626427834069258, 0.0406820726188782, -0.14814472969523387, -0.23029846539965979, 0.37961566548451386, 0.005248091291440161, 0.2534260200826745, 0.049212996377364586, 0.0890629997109308, -0.01837963259190713, -0.04444873449637702, -0.04164261194436174, -0.08871262997241788, 0.14569709322684885, 0.24444879798010286, 0.14963014446885178, 0.16089340044479622, -0.4218774457903285, -0.16086489602090104, 0.12861461023751058, 0.08450981497666553, 0.076678771013394, -0.03475372171348059, -0.2931997888084305, 0.10991280791594794, -0.16227111108601094, -0.13201522614414754, -0.0800307564118779, -0.01152314909390713, -0.046827640688340916, -0.3366251088874905, 0.07623867687132013, 0.028509170150286273, 0.023864695439605337, -0.023432628278571524, -0.1546139326926909, 0.020251095363576162, 0.11760801017088325, 0.08008519948925823, 0.011009629546223502, 0.046355120592603556, -0.13692195235849602, -0.07315945514281721, 0.424255897026313, -0.04377545537059441, -0.19614126155839154, 0.1347235329057041, -0.13739714942088252, -0.14418463228074344, 0.11310931565730195, 0.15111968403584078, 0.050873916542255565, -0.20426668461020056, 0.13882831567837123, -0.10075477501377464, 0.16211085680284, 0.03240670405916477, 0.0073974733829106154, 0.1671505354197794, 0.11208984215596789, 0.05513073277696477, 0.08960835893736466, -0.012231068648888092, -0.061928808527361406, -0.35906590686032647, -0.12854721209916628, -0.17266806848959898, 0.05590148657364281, -0.12144609116688738, -0.13870239367365444, 0.437139327123173, 0.15019456997121636, 0.24718885519786885, 0.05659862594237845, 0.2387735721214037, 0.09958983243099953, 0.07147237603601657, 0.030472516033210252, 0.24321878552926998, 0.1935386905275089, 0.09253965589266859, -0.19952696022871685, 0.07859797843388822, 0.1244296398454983]
706.3589
Persistence of direction increases the drift velocity of run and tumble chemotaxis
Escherichia coli is a motile bacterium that moves up a chemoattractant gradient by performing a biased random walk composed of alternating runs and tumbles. Previous models of run and tumble chemotaxis neglect one or more features of the motion, namely (i) a cell cannot directly detect a chemoattractant gradient but rather makes temporal comparisons of chemoattractant concentration, (ii) rather than being entirely random, tumbles exhibit persistence of direction, meaning that the new direction after a tumble is more likely to be in the forward hemisphere, and (iii) rotational Brownian motion makes it impossible for an E. coli cell to swim in a straight line during a run. This paper presents an analytic calculation of the chemotactic drift velocity taking account of (i), (ii) and (iii), for weak chemotaxis. The analytic results are verified by Monte Carlo simulation. The results reveal a synergy between temporal comparisons and persistence that enhances the drift velocity, while rotational Brownian motion reduces the drift velocity.
q-bio.QM
escherichia coli is a motile bacterium that moves up a chemoattractant gradient by performing a biased random walk composed of alternating runs and tumbles previous models of run and tumble chemotaxis neglect one or more features of the motion namely i a cell cannot directly detect a chemoattractant gradient but rather makes temporal comparisons of chemoattractant concentration ii rather than being entirely random tumbles exhibit persistence of direction meaning that the new direction after a tumble is more likely to be in the forward hemisphere and iii rotational brownian motion makes it impossible for an e coli cell to swim in a straight line during a run this paper presents an analytic calculation of the chemotactic drift velocity taking account of i ii and iii for weak chemotaxis the analytic results are verified by monte carlo simulation the results reveal a synergy between temporal comparisons and persistence that enhances the drift velocity while rotational brownian motion reduces the drift velocity
[['escherichia', 'coli', 'is', 'a', 'motile', 'bacterium', 'that', 'moves', 'up', 'a', 'chemoattractant', 'gradient', 'by', 'performing', 'a', 'biased', 'random', 'walk', 'composed', 'of', 'alternating', 'runs', 'and', 'tumbles', 'previous', 'models', 'of', 'run', 'and', 'tumble', 'chemotaxis', 'neglect', 'one', 'or', 'more', 'features', 'of', 'the', 'motion', 'namely', 'i', 'a', 'cell', 'can', 'not', 'directly', 'detect', 'a', 'chemoattractant', 'gradient', 'but', 'rather', 'makes', 'temporal', 'comparisons', 'of', 'chemoattractant', 'concentration', 'ii', 'rather', 'than', 'being', 'entirely', 'random', 'tumbles', 'exhibit', 'persistence', 'of', 'direction', 'meaning', 'that', 'the', 'new', 'direction', 'after', 'a', 'tumble', 'is', 'more', 'likely', 'to', 'be', 'in', 'the', 'forward', 'hemisphere', 'and', 'iii', 'rotational', 'brownian', 'motion', 'makes', 'it', 'impossible', 'for', 'an', 'e', 'coli', 'cell', 'to', 'swim', 'in', 'a', 'straight', 'line', 'during', 'a', 'run', 'this', 'paper', 'presents', 'an', 'analytic', 'calculation', 'of', 'the', 'chemotactic', 'drift', 'velocity', 'taking', 'account', 'of', 'i', 'ii', 'and', 'iii', 'for', 'weak', 'chemotaxis', 'the', 'analytic', 'results', 'are', 'verified', 'by', 'monte', 'carlo', 'simulation', 'the', 'results', 'reveal', 'a', 'synergy', 'between', 'temporal', 'comparisons', 'and', 'persistence', 'that', 'enhances', 'the', 'drift', 'velocity', 'while', 'rotational', 'brownian', 'motion', 'reduces', 'the', 'drift', 'velocity']]
[-0.11359129272425195, 0.17592252144949388, -0.06581882174525942, 0.013599365869369242, -0.10657244630921517, -0.19788781748159054, 0.03245842908668153, 0.41601148298623397, -0.2690591668212636, -0.2296959603543723, 0.03285574617865061, -0.24650565426079382, -0.13581209311186573, 0.1727852381676181, -0.04999972281757719, -0.030052358018500463, 0.09883530532235499, -0.014739112126617836, 0.038666688884834044, -0.1743136904390311, 0.15294794696354255, 0.06855020497387611, 0.23209810392896396, -0.054231747697101707, 0.15000743738531788, -0.018029923730107568, -0.05954934944151409, 0.07613064907852746, -0.13306765992302694, 0.0856506449769841, 0.1343574105766329, 0.07413866759642311, 0.2926543902675187, -0.47070212544213913, -0.21188430796140192, 0.10730979228912858, 0.20442569760536278, 0.14315056948783744, -0.039088164047831206, -0.27504329655828497, 0.04453525620133772, -0.13116078150186758, -0.15395316187153507, -0.039420152771408146, 0.09767760398655968, 0.0976442124319309, -0.27429533882503343, 0.1523053131625924, 0.08318360247041869, 0.09777166946033328, -0.05828050573310173, -0.07976137168173279, -0.05248466060606774, 0.10377649623200713, 0.07643067639144659, 0.044285036357385774, 0.23388573634640678, -0.12025485062676695, -0.12270389311304837, 0.3697429360382213, -0.06704335404396916, -0.24595609632601256, 0.22384096280330365, -0.14954157680510224, -0.09645470830478839, 0.18811470192299595, 0.13930660702131967, 0.09629582888475671, -0.1617408593514969, 0.019584517997923823, -0.0034782796885213752, 0.1497783925686529, 0.07475080545008275, -0.10854620478688652, 0.1612718560941147, 0.1683924939680081, 0.11604014553291642, 0.06988951220735329, -0.15110295176974597, -0.13746359308614678, -0.25235296009536484, -0.2035403161986459, -0.13857602043459133, 0.04511932611202616, -0.10606114048847382, -0.14276829206454134, 0.370343293369927, 0.1315830778807795, 0.2313758216086798, 0.12685560263109086, 0.27973351912191197, 0.05261186071561638, 0.03202875129161229, 0.06097848382807389, 0.2066048525956384, 0.08659621995948949, 0.1545669042876985, -0.2609577496009676, 0.16806282695839816, 0.04833394650121144]
706.359
Breathers and Raman scattering in a two-leg ladder with staggered Dzialoshinskii-Moriya interaction
Recent experiments have revealed the role of staggered Dzialoshinskii-Moriya interaction in the magnetized phase of an antiferromagnetic spin 1/2 two-leg ladder compound under a uniform magnetic field. We derive a low energy effective field theory describing a magnetized two-leg ladder with a weak staggered Dzialoshinskii-Moriya interaction. This theory predicts the persistence of the spin gap in the magnetized phase, in contrast to standard two-leg ladders, and the presence of bound states in the excitation spectrum. Such bound states are observable in Raman scattering measurements. These results are then extended to intermediate Dzialoshinskii-Moriya interaction using Exact Diagonalizations.
cond-mat.str-el
recent experiments have revealed the role of staggered dzialoshinskiimoriya interaction in the magnetized phase of an antiferromagnetic spin 12 twoleg ladder compound under a uniform magnetic field we derive a low energy effective field theory describing a magnetized twoleg ladder with a weak staggered dzialoshinskiimoriya interaction this theory predicts the persistence of the spin gap in the magnetized phase in contrast to standard twoleg ladders and the presence of bound states in the excitation spectrum such bound states are observable in raman scattering measurements these results are then extended to intermediate dzialoshinskiimoriya interaction using exact diagonalizations
[['recent', 'experiments', 'have', 'revealed', 'the', 'role', 'of', 'staggered', 'dzialoshinskiimoriya', 'interaction', 'in', 'the', 'magnetized', 'phase', 'of', 'an', 'antiferromagnetic', 'spin', '12', 'twoleg', 'ladder', 'compound', 'under', 'a', 'uniform', 'magnetic', 'field', 'we', 'derive', 'a', 'low', 'energy', 'effective', 'field', 'theory', 'describing', 'a', 'magnetized', 'twoleg', 'ladder', 'with', 'a', 'weak', 'staggered', 'dzialoshinskiimoriya', 'interaction', 'this', 'theory', 'predicts', 'the', 'persistence', 'of', 'the', 'spin', 'gap', 'in', 'the', 'magnetized', 'phase', 'in', 'contrast', 'to', 'standard', 'twoleg', 'ladders', 'and', 'the', 'presence', 'of', 'bound', 'states', 'in', 'the', 'excitation', 'spectrum', 'such', 'bound', 'states', 'are', 'observable', 'in', 'raman', 'scattering', 'measurements', 'these', 'results', 'are', 'then', 'extended', 'to', 'intermediate', 'dzialoshinskiimoriya', 'interaction', 'using', 'exact', 'diagonalizations']]
[-0.23154046603788933, 0.27760552756823625, -0.03557485671384105, 0.07079796408045998, -0.01723403729314062, -0.1135593336657621, 0.037671530597435776, 0.400404983452366, -0.21294223715813132, -0.2901019929437704, 0.02275006860024102, -0.3089775881186749, -0.08349377109940785, 0.1156779232963648, 0.13145362551343473, -0.02270225131845412, 0.01359189543290995, 0.03274325487533739, -0.11522905286983587, -0.18269954447168857, 0.3046626687112924, 0.032366055185169294, 0.27652885178880143, 0.08483143201434966, 0.010565413618072247, 0.06337434515929392, 0.09754950836941134, 0.011071226452865327, -0.1395254305631776, 0.05934721732046455, 0.22772671360811123, -0.12848676419040808, 0.12127033621072769, -0.46315490927857655, -0.21224337745419083, 0.003869178040379969, 0.19224968759226613, 0.18074142153879316, -0.0741652864671778, -0.3315986566982853, -0.030027203950642917, -0.22655238833006783, -0.16287771279712615, -0.10702997187521153, -0.052764983952026036, 0.0027293620320657888, -0.2926177670742618, 0.11321022334929391, 0.08544921017892193, 0.0879322307964685, -0.09349038240907248, -0.09748977816101008, -0.041771154030963466, 0.06384198233718053, 0.0412151575947064, 0.09130856955501561, 0.09042290792664669, -0.147890905381549, -0.1449202195944963, 0.2835281383207378, -0.15017595192572722, -0.11990465986309573, 0.1681170789185368, -0.16926937259813712, -0.13773962270473325, 0.13194513121076548, 0.08633372604769345, 0.10274215370736783, -0.13299414468929172, 0.13589071721283594, -0.06327761958042781, 0.15826273178390693, -0.014390446153508188, 0.09007156714991045, 0.24039533129932047, 0.195273119607009, 0.03145110992287906, 0.1712586926029568, -0.12041181938426841, -0.15961499785771593, -0.20016499616879932, -0.09451383705284873, -0.18925262657285202, 0.05822911050502929, -0.09096626754020083, -0.20439481521316338, 0.3769173236311569, 0.16238638891566856, 0.1540871667433142, -0.0619576460060974, 0.2295647652790649, 0.1327593375547925, 0.004646454932905423, 0.0627622444347556, 0.2800858331223329, 0.24248125595234646, 0.07282127499274793, -0.28429276527701103, -0.003669359351382203, 0.0680173616031728]
706.3591
Probing the electron-phonon coupling in MgB2 through magnetoresistance measurements in neutron irradiated thin films
We report magnetoresistance (MR) measurements on MgB2 and the corresponding full account from ab-initio calculations; we suggest that this combination can be a useful tool to probe electron- phonon coupling. We obtain good quantitative agreement between high field measurements on neutron irradiated epitaxial thin films and calculations within Bloch-Boltzmann transport theory over a wide range of magnetic fields (0-28 T) and temperatures (40-300 K), and as a function of the field orientation. The crossovers between in-plane and out-of-plane MR, experimentally observed as a function of either disorder or temperature are well reproduced indicating that disorder and interaction with phonons strongly affect the scattering rate of s-carriers.
cond-mat.supr-con
we report magnetoresistance mr measurements on mgb2 and the corresponding full account from abinitio calculations we suggest that this combination can be a useful tool to probe electron phonon coupling we obtain good quantitative agreement between high field measurements on neutron irradiated epitaxial thin films and calculations within blochboltzmann transport theory over a wide range of magnetic fields 028 t and temperatures 40300 k and as a function of the field orientation the crossovers between inplane and outofplane mr experimentally observed as a function of either disorder or temperature are well reproduced indicating that disorder and interaction with phonons strongly affect the scattering rate of scarriers
[['we', 'report', 'magnetoresistance', 'mr', 'measurements', 'on', 'mgb2', 'and', 'the', 'corresponding', 'full', 'account', 'from', 'abinitio', 'calculations', 'we', 'suggest', 'that', 'this', 'combination', 'can', 'be', 'a', 'useful', 'tool', 'to', 'probe', 'electron', 'phonon', 'coupling', 'we', 'obtain', 'good', 'quantitative', 'agreement', 'between', 'high', 'field', 'measurements', 'on', 'neutron', 'irradiated', 'epitaxial', 'thin', 'films', 'and', 'calculations', 'within', 'blochboltzmann', 'transport', 'theory', 'over', 'a', 'wide', 'range', 'of', 'magnetic', 'fields', '028', 't', 'and', 'temperatures', '40300', 'k', 'and', 'as', 'a', 'function', 'of', 'the', 'field', 'orientation', 'the', 'crossovers', 'between', 'inplane', 'and', 'outofplane', 'mr', 'experimentally', 'observed', 'as', 'a', 'function', 'of', 'either', 'disorder', 'or', 'temperature', 'are', 'well', 'reproduced', 'indicating', 'that', 'disorder', 'and', 'interaction', 'with', 'phonons', 'strongly', 'affect', 'the', 'scattering', 'rate', 'of', 'scarriers']]
[-0.12962515154642806, 0.19265301046959524, -0.06998056827024335, 0.023397729735422347, -0.028456722780884732, -0.1393139743423533, 0.08753144283268956, 0.44059881133337814, -0.24635090859872955, -0.3489546235473383, -0.008680818438352573, -0.30621091314990606, -0.09725334268905932, 0.24704214026929722, 0.08809255960042633, 0.008107450453653221, 0.018237632039623957, -0.0605881182815037, -0.09449549789451772, -0.15509631059110343, 0.23832991253141136, 0.048108289457325426, 0.31940432926750784, 0.13989346400346783, 0.05947377287472288, 0.0428870516341357, 0.08311488109064244, 0.1005728776300592, -0.1884588387979117, 0.008085114225035621, 0.2686801074965236, -0.10542892205440217, 0.16061970509943507, -0.43187420595259896, -0.2192426368416775, -0.008386277833155223, 0.1407341243227988, 0.1340582230704881, -0.07847337413889667, -0.2347722601145506, 0.05564068049092644, -0.10650385368970178, -0.08358621399550299, -0.13333855910293227, -0.025727435968638884, 0.02289166570241962, -0.30288675211735866, 0.1444492133511674, -0.009435824103586907, 0.15013610554202128, -0.14330342074057886, -0.1319673823458808, -0.06694225568789988, 0.06300520027233732, 0.07225926848921171, 0.117499212547028, 0.20883720784802876, -0.11381699310482613, -0.07240316162018903, 0.3220797648387296, -0.11029384151278507, -0.053687500669842673, 0.17833071728902203, -0.23342510333196037, -0.030361645557873306, 0.14013125043184985, 0.13331448630474152, 0.12458223709836602, -0.12706986728700853, 0.05099490285252354, -0.014523868269420096, 0.19996684322222358, 0.030432878135858724, 0.07495596720996435, 0.2660020152284276, 0.18337000956914076, -0.0527286913157219, 0.08529453102299678, -0.12503645817882247, 0.009630259392516953, -0.24177480175913799, -0.13709251530956298, -0.18748756118473553, 0.10351997792188611, -0.1160730437899474, -0.1822948803371262, 0.36038654569004264, 0.16720586430580756, 0.20708205772652513, -0.011034860397644695, 0.24121645859309604, 0.10029490355047442, 0.07521863843181303, 0.022986543945790756, 0.2655889716132411, 0.24950356157496573, 0.09131495660916525, -0.29787264352087817, 0.09362883259586635, -0.06293375306274919]
706.3592
A model of dense-plasma atomic structure for equation-of-state calculations
A model of dense plasmas relying on the superconfiguration approximation is presented. In each superconfiguration the nucleus is totally screened by the electrons in a Wigner-Seitz sphere (ion-sphere model). Superconfigurations of the same charge are grouped into ions. It is shown that boundary values of the wavefunctions play a crucial role in the form of the Virial theorem from which the pressure formula is derived. Finally, a condition is presented and discussed, which makes the ion-sphere model variational when bound electrons are treated quantum-mechanically and free electrons quasi-classically.
physics.atom-ph physics.plasm-ph
a model of dense plasmas relying on the superconfiguration approximation is presented in each superconfiguration the nucleus is totally screened by the electrons in a wignerseitz sphere ionsphere model superconfigurations of the same charge are grouped into ions it is shown that boundary values of the wavefunctions play a crucial role in the form of the virial theorem from which the pressure formula is derived finally a condition is presented and discussed which makes the ionsphere model variational when bound electrons are treated quantummechanically and free electrons quasiclassically
[['a', 'model', 'of', 'dense', 'plasmas', 'relying', 'on', 'the', 'superconfiguration', 'approximation', 'is', 'presented', 'in', 'each', 'superconfiguration', 'the', 'nucleus', 'is', 'totally', 'screened', 'by', 'the', 'electrons', 'in', 'a', 'wignerseitz', 'sphere', 'ionsphere', 'model', 'superconfigurations', 'of', 'the', 'same', 'charge', 'are', 'grouped', 'into', 'ions', 'it', 'is', 'shown', 'that', 'boundary', 'values', 'of', 'the', 'wavefunctions', 'play', 'a', 'crucial', 'role', 'in', 'the', 'form', 'of', 'the', 'virial', 'theorem', 'from', 'which', 'the', 'pressure', 'formula', 'is', 'derived', 'finally', 'a', 'condition', 'is', 'presented', 'and', 'discussed', 'which', 'makes', 'the', 'ionsphere', 'model', 'variational', 'when', 'bound', 'electrons', 'are', 'treated', 'quantummechanically', 'and', 'free', 'electrons', 'quasiclassically']]
[-0.08566100295799003, 0.18038167722052198, -0.10123745800028074, 0.11051066990690199, 0.01193779976717357, -0.14813032626420602, 0.022363341528515535, 0.3283858359630766, -0.20310635295236248, -0.24641354724593545, 0.018615442565000005, -0.27436044450378283, -0.08765129038485987, 0.16223713817963398, 0.015519539276994336, -0.0184445317107689, 0.04011947155566137, 0.053593726325566055, -0.03291364168031034, -0.21269974023660368, 0.2907057598811285, 0.07260827897330639, 0.2511797662310559, 0.10595032843721337, 0.08226737004287284, 0.01746593050433901, 0.024725436005505853, 0.01620262288541972, -0.09613339343128643, 0.09455974352406873, 0.2029298108884658, 0.017647643000872314, 0.2507827074331199, -0.4431739651822838, -0.2228714803811805, 0.025064933049524653, 0.14626898006375494, 0.09743319876524138, -0.06094927176560179, -0.26483004549839373, 0.0365162816262622, -0.172206642962564, -0.15340695646323863, -0.03360578048460443, -0.0010571834021087351, 0.03683987427395822, -0.29195859456159196, 0.11836354526819597, 0.07907403812840066, -0.03078230318409958, -0.14784380489553528, -0.13849386338133837, -0.06502546163559517, 0.0745562549788189, 0.04187901908312335, 0.045105784194779466, 0.1540119999313149, -0.09445466102775314, -0.0005741383527116529, 0.4395908051352391, -0.003083017294097092, -0.24291848910212432, 0.13435684516223084, -0.14558884379957085, -0.07429194970634477, 0.1449936908300452, 0.09697193942493064, 0.1443777647854268, -0.1844579738107491, 0.13248054432580997, -0.09017191248030626, 0.12289534487103208, 0.046429289922375105, -0.015248850046860418, 0.19776747994467445, 0.12743174621096715, 0.011770582479563937, 0.14894144050509336, -0.07679736982474382, -0.12558136037657916, -0.3174654822154292, -0.1459935597851926, -0.23773717901123495, 0.0027043231520079204, -0.06590329560192955, -0.1723678206563954, 0.32751919593308765, 0.0925803301620415, 0.16519376598619695, -0.05108438842614106, 0.28595493776702335, 0.17144748222767964, 0.059045918906728424, 0.10972057644748824, 0.247620022430181, 0.20278156347219542, 0.016471312188639724, -0.18763118679367605, 0.032846045980080105, 0.15766826010277046]
706.3593
Evolution of dust and ice features around FU Orionis objects
(abridged) We present spectroscopy data for a sample of 14 FUors and 2 TTauri stars observed with the Spitzer Space Telescope or with the Infrared Space Observatory (ISO). Based on the appearance of the 10 micron silicate feature we define 2 categories of FUors. Objects showing the silicate feature in absorption (Category 1) are still embedded in a dusty and icy envelope. The shape of the 10 micron silicate absorption bands is compared to typical dust compositions of the interstellar medium and found to be in general agreement. Only one object (RNO 1B) appears to be too rich in amorphous pyroxene dust, but a superposed emission feature can explain the observed shape. We derive optical depths and extinction values from the silicate band and additional ice bands at 6.0, 6.8 and 15.2 micron. In particular the analysis of the CO_2 ice band at 15.2 micron allows us to search for evidence for ice processing and constrains whether the absorbing material is physically linked to the central object or in the foreground. For objects showing the silicate feature in emission (Category 2), we argue that the emission comes from the surface layer of accretion disks. Analyzing the dust composition reveals that significant grain growth has already taken place within the accretion disks, but no clear indications for crystallization are present. We discuss how these observational results can be explained in the picture of a young, and highly active accretion disk. Finally, a framework is proposed as to how the two categories of FUors can be understood in a general paradigm of the evolution of young, low-mass stars. Only one object (Parsamian 21) shows PAH emission features. Their shapes, however, are often seen toward evolved stars and we question the object's status as a FUor and discuss other possible classifications.
astro-ph
abridged we present spectroscopy data for a sample of 14 fuors and 2 ttauri stars observed with the spitzer space telescope or with the infrared space observatory iso based on the appearance of the 10 micron silicate feature we define 2 categories of fuors objects showing the silicate feature in absorption category 1 are still embedded in a dusty and icy envelope the shape of the 10 micron silicate absorption bands is compared to typical dust compositions of the interstellar medium and found to be in general agreement only one object rno 1b appears to be too rich in amorphous pyroxene dust but a superposed emission feature can explain the observed shape we derive optical depths and extinction values from the silicate band and additional ice bands at 60 68 and 152 micron in particular the analysis of the co_2 ice band at 152 micron allows us to search for evidence for ice processing and constrains whether the absorbing material is physically linked to the central object or in the foreground for objects showing the silicate feature in emission category 2 we argue that the emission comes from the surface layer of accretion disks analyzing the dust composition reveals that significant grain growth has already taken place within the accretion disks but no clear indications for crystallization are present we discuss how these observational results can be explained in the picture of a young and highly active accretion disk finally a framework is proposed as to how the two categories of fuors can be understood in a general paradigm of the evolution of young lowmass stars only one object parsamian 21 shows pah emission features their shapes however are often seen toward evolved stars and we question the objects status as a fuor and discuss other possible classifications
[['abridged', 'we', 'present', 'spectroscopy', 'data', 'for', 'a', 'sample', 'of', '14', 'fuors', 'and', '2', 'ttauri', 'stars', 'observed', 'with', 'the', 'spitzer', 'space', 'telescope', 'or', 'with', 'the', 'infrared', 'space', 'observatory', 'iso', 'based', 'on', 'the', 'appearance', 'of', 'the', '10', 'micron', 'silicate', 'feature', 'we', 'define', '2', 'categories', 'of', 'fuors', 'objects', 'showing', 'the', 'silicate', 'feature', 'in', 'absorption', 'category', '1', 'are', 'still', 'embedded', 'in', 'a', 'dusty', 'and', 'icy', 'envelope', 'the', 'shape', 'of', 'the', '10', 'micron', 'silicate', 'absorption', 'bands', 'is', 'compared', 'to', 'typical', 'dust', 'compositions', 'of', 'the', 'interstellar', 'medium', 'and', 'found', 'to', 'be', 'in', 'general', 'agreement', 'only', 'one', 'object', 'rno', '1b', 'appears', 'to', 'be', 'too', 'rich', 'in', 'amorphous', 'pyroxene', 'dust', 'but', 'a', 'superposed', 'emission', 'feature', 'can', 'explain', 'the', 'observed', 'shape', 'we', 'derive', 'optical', 'depths', 'and', 'extinction', 'values', 'from', 'the', 'silicate', 'band', 'and', 'additional', 'ice', 'bands', 'at', '60', '68', 'and', '152', 'micron', 'in', 'particular', 'the', 'analysis', 'of', 'the', 'co_2', 'ice', 'band', 'at', '152', 'micron', 'allows', 'us', 'to', 'search', 'for', 'evidence', 'for', 'ice', 'processing', 'and', 'constrains', 'whether', 'the', 'absorbing', 'material', 'is', 'physically', 'linked', 'to', 'the', 'central', 'object', 'or', 'in', 'the', 'foreground', 'for', 'objects', 'showing', 'the', 'silicate', 'feature', 'in', 'emission', 'category', '2', 'we', 'argue', 'that', 'the', 'emission', 'comes', 'from', 'the', 'surface', 'layer', 'of', 'accretion', 'disks', 'analyzing', 'the', 'dust', 'composition', 'reveals', 'that', 'significant', 'grain', 'growth', 'has', 'already', 'taken', 'place', 'within', 'the', 'accretion', 'disks', 'but', 'no', 'clear', 'indications', 'for', 'crystallization', 'are', 'present', 'we', 'discuss', 'how', 'these', 'observational', 'results', 'can', 'be', 'explained', 'in', 'the', 'picture', 'of', 'a', 'young', 'and', 'highly', 'active', 'accretion', 'disk', 'finally', 'a', 'framework', 'is', 'proposed', 'as', 'to', 'how', 'the', 'two', 'categories', 'of', 'fuors', 'can', 'be', 'understood', 'in', 'a', 'general', 'paradigm', 'of', 'the', 'evolution', 'of', 'young', 'lowmass', 'stars', 'only', 'one', 'object', 'parsamian', '21', 'shows', 'pah', 'emission', 'features', 'their', 'shapes', 'however', 'are', 'often', 'seen', 'toward', 'evolved', 'stars', 'and', 'we', 'question', 'the', 'objects', 'status', 'as', 'a', 'fuor', 'and', 'discuss', 'other', 'possible', 'classifications']]
[-0.027862679300792264, 0.0945182333336268, -0.07790002637595334, 0.09645441400227855, -0.06707917720129426, -0.09925535215758688, 0.03545084710220413, 0.4637818611988754, -0.21585509435720227, -0.34067381612468983, 0.08514371940955182, -0.26897822655570397, -0.08057461749768548, 0.13870816314401535, -0.07724444341108253, -0.044893664244947964, 0.03984181724501236, -0.1059273330232241, -0.011799472085889367, -0.2218671471236786, 0.3145022062153474, 0.04372360816634816, 0.14797047588793755, 0.015105045922866229, 0.026842689934857004, -0.12481824112837296, -0.08147416250575522, -0.024773332399930244, -0.12912045224459767, 0.10129298769416531, 0.278411441513856, 0.10034476886511699, 0.15647876729615245, -0.3714313730467359, -0.2298560268943934, 0.058994105743594316, 0.16208619723368387, 0.05451478112345224, -0.027375511816880922, -0.25368101810981775, 0.03989048972929009, -0.1478934479684369, -0.14927894844292294, 0.03065269098603659, 0.08053500202153153, -0.031071841984951318, -0.2227364726463839, 0.07032261835919043, 0.08546922083837824, 0.11004638098470941, -0.17256105480103867, -0.1296455502263372, -0.10086726374969499, 0.061530470782453384, -0.0011490098866415305, 0.02435167206157524, 0.21286929104064636, -0.15602087706871232, -0.04301192416128196, 0.44169140172709753, -0.09992389199062213, -0.019521548356485847, 0.2786701774113693, -0.21116298209835194, -0.16023554787783564, 0.21880005748204936, 0.11929658214380377, 0.11449727768312058, -0.13659240575757303, 0.0021971114711904736, -0.05704234056518532, 0.23610677151165702, 0.07278476310378228, 0.09893090386490472, 0.34330628903570193, 0.17077496538373124, -0.025214638126601508, 0.1455770138615583, -0.2370068396546334, -0.038923327733126574, -0.23436433308204674, -0.15511234264489537, -0.13387378200501104, 0.059392448640100334, -0.12198513066003508, -0.12347674365514802, 0.3097218453130941, 0.120206718884671, 0.22602868544237825, 0.028772499195093778, 0.25000759718655263, 0.04346305793916944, 0.11732592735472354, 0.10722813405012149, 0.3093390628902926, 0.1097344992222927, 0.11792122694701207, -0.1691869171109713, 0.09980198409370827, -0.008517204241627115]
706.3594
0-pi Transitions in a Superconductor/Chiral Ferromagnet/Superconductor Junction induced by a Homogeneous Cycloidal Spiral
We study the pi phase in a superconductor-ferromagnet-superconductor Josephson junction, with a ferromagnet showing a cycloidal spiral spin modulation with in-plane propagation vector. Our results reveal a high sensitivity of the junction to the spiral order and indicate the presence of 0-pi quantum phase transitions as function of the spiral wave vector. We find that the chiral magnetic order introduces chiral superconducting triplet pairs that strongly influence the physics in such Josephson junctions, with potential applications in nanoelectronics and spintronics.
cond-mat.supr-con
we study the pi phase in a superconductorferromagnetsuperconductor josephson junction with a ferromagnet showing a cycloidal spiral spin modulation with inplane propagation vector our results reveal a high sensitivity of the junction to the spiral order and indicate the presence of 0pi quantum phase transitions as function of the spiral wave vector we find that the chiral magnetic order introduces chiral superconducting triplet pairs that strongly influence the physics in such josephson junctions with potential applications in nanoelectronics and spintronics
[['we', 'study', 'the', 'pi', 'phase', 'in', 'a', 'superconductorferromagnetsuperconductor', 'josephson', 'junction', 'with', 'a', 'ferromagnet', 'showing', 'a', 'cycloidal', 'spiral', 'spin', 'modulation', 'with', 'inplane', 'propagation', 'vector', 'our', 'results', 'reveal', 'a', 'high', 'sensitivity', 'of', 'the', 'junction', 'to', 'the', 'spiral', 'order', 'and', 'indicate', 'the', 'presence', 'of', '0pi', 'quantum', 'phase', 'transitions', 'as', 'function', 'of', 'the', 'spiral', 'wave', 'vector', 'we', 'find', 'that', 'the', 'chiral', 'magnetic', 'order', 'introduces', 'chiral', 'superconducting', 'triplet', 'pairs', 'that', 'strongly', 'influence', 'the', 'physics', 'in', 'such', 'josephson', 'junctions', 'with', 'potential', 'applications', 'in', 'nanoelectronics', 'and', 'spintronics']]
[-0.30258907079696656, 0.18005136733991095, -0.0029933096084278077, -0.007685716365813278, -0.09108070561196654, -0.10629206628073007, 0.04658739022852387, 0.395385083835572, -0.2288396302377805, -0.25445120136719196, -0.044196809070126616, -0.3000213174149394, -0.19436229459824972, 0.16251616459339857, 0.12793079410330394, 0.0311677104793489, -0.048138188087614255, -0.03581660018826369, -0.11347910635522566, -0.15005571507672358, 0.2748230306780897, -0.09836476195632712, 0.33167371932649986, 0.05414597391500138, 0.0317011908889981, -0.0190527970175026, 0.1658976278558839, -0.030371552996803074, -0.15394796274576947, 0.011447118106298148, 0.2645903369295411, -0.11412804652936756, 0.15261261302512139, -0.49214847162365916, -0.22069513727910817, 0.05357408823329024, 0.15691667429928202, 0.18192950363736599, -0.07625966699561104, -0.35795036067720504, 0.08534805832896382, -0.14049853469623486, -0.13464328482514248, -0.08987059725332074, -0.023107228334993124, 0.03772731588396709, -0.26119493836304175, 0.06727124699391425, 0.0830612199861207, 0.08036123409401626, -0.0024652759020682424, -0.08235975821007742, -0.04579474582278635, -0.015280089864972979, 0.025435383731382898, 0.14309567449672614, 0.1541019535070518, -0.17837506039068102, -0.1686716063588392, 0.3169937306083739, -0.08166428333497606, -0.11497863549739122, 0.1173234683519695, -0.21285895389264625, -0.0542014759615995, 0.08817764676641673, 0.11799115461762995, 0.044781374104786664, -0.0835431978222914, 0.03811433228693204, 0.020727914641793178, 0.16742366796534042, 0.04025503157754429, 0.12292266548611223, 0.3215745646972209, 0.22189789185504197, 0.08076856104307809, 0.1584071499208221, -0.17994149384030605, -0.08461274201981724, -0.29485641308128835, -0.18021778286201878, -0.1734717647661455, 0.06462668401418341, -0.0689507873259572, -0.21730779420468024, 0.4475764947943389, 0.18767691055545582, 0.19160245797829703, -0.0923106690926943, 0.28022156809456644, 0.12457627227413468, 0.06991553092375398, 0.018243592896033077, 0.2370981899322942, 0.22548494291550014, 0.1285200198646635, -0.346733269141987, 0.04125287818023935, -0.03302190608810633]
706.3595
Two-dimensional Schroedinger operators with fast decaying potential and multidimensional $L_2$-kernel
Using Moutard transformations we show how explicit examples of two-dimensional Schroedinger operators with fast decaying potential and multidimensional $L_2$-kernel may be constructed
math-ph math.MP
using moutard transformations we show how explicit examples of twodimensional schroedinger operators with fast decaying potential and multidimensional l_2kernel may be constructed
[['using', 'moutard', 'transformations', 'we', 'show', 'how', 'explicit', 'examples', 'of', 'twodimensional', 'schroedinger', 'operators', 'with', 'fast', 'decaying', 'potential', 'and', 'multidimensional', 'l_2kernel', 'may', 'be', 'constructed']]
[-0.05098981512266965, 0.14050711092672177, -0.06425949616268986, 0.12284911468270279, -0.11199261133913838, -0.20398759336343833, -0.037296545159603865, 0.42702544378560214, -0.2930218344110818, -0.21441093282330603, 0.10351619760816295, -0.27675919325667475, -0.2747233211994171, 0.2592284411103243, 0.011525701531874282, 0.11799006057637078, 0.08630665710994176, -0.03861990837114198, -0.1817166203899043, -0.23420704617386773, 0.3566276157895724, 0.007466483373372327, 0.18297397806530907, -0.009435338655575401, 0.09473424586689189, -0.02240637887180561, -0.06641519805859952, -0.007766474304454667, -0.09521366941875645, 0.07053325542559226, 0.1744697290317466, 0.08364264454160418, 0.18865650023023287, -0.5129526080120177, -0.2215284454591927, 0.14131405683500425, 0.21665831535522426, 0.146567855207693, -0.17493278963402623, -0.4137856575349967, 0.003957563390334447, -0.1712097885708014, -0.22043578424269245, -0.2763556098742854, 0.003941338686715989, 0.1204601437562988, -0.334514683555989, 0.09319772409452569, 0.01994120753148482, -0.006902712053574976, -0.0688793238230227, -0.015671383362219092, -0.06558745811205535, 0.06628577322477386, 0.003613426217011043, -0.0317937727086246, 0.0755762084653335, -0.030262162021937825, -0.16713624321190373, 0.3345449151737349, -0.1030597174983649, -0.31928700306231067, 0.18964716388533512, -0.07530413437191219, -0.07858608217377748, 0.06282765806342165, 0.2147156654724053, 0.09754129840681951, -0.15350924339145422, 0.17164071928432567, -0.0509793275435056, 0.11630802989626925, 0.06534036590407293, 0.020510523979152952, 0.11184328634824071, 0.07365882121736095, -0.011413321697286196, 0.19647110532414877, 0.01789425260254315, -0.11620282151159786, -0.36733468542141573, -0.1608709411784297, -0.16446425526269845, 0.11792089102701062, -0.08665384403138887, -0.1627985564104858, 0.41824947492707343, 0.07494908356706478, 0.1825490953134639, 0.02623662847049889, 0.1670465918169135, 0.23398950554075695, 0.06921547917383057, 0.09076134742991555, 0.11554113340874513, 0.12293163403159096, 0.0740916600362176, -0.16132039803224393, -0.13161596427449868, 0.1913185976445675]
706.3596
Time dependent couplings and crossover length scales in non-equilibrium surface roughening
We show that time dependent couplings may lead to nontrivial scaling properties of the surface fluctuations of the asymptotic regime in non-equilibrium kinetic roughening models . Three typical situations are studied. In the case of a crossover between two different rough regimes, the time-dependent coupling may result in anomalous scaling for scales above the crossover length. In a different setting, for a crossover from a rough to either a flat or damping regime, the time dependent crossover length may conspire to produce a rough surface, despite the most relevant term tends to flatten the surface. In addition, our analysis sheds light into an existing debate in the problem of spontaneous imbibition, where time dependent couplings naturally arise in theoretical models and experiments.
cond-mat.stat-mech
we show that time dependent couplings may lead to nontrivial scaling properties of the surface fluctuations of the asymptotic regime in nonequilibrium kinetic roughening models three typical situations are studied in the case of a crossover between two different rough regimes the timedependent coupling may result in anomalous scaling for scales above the crossover length in a different setting for a crossover from a rough to either a flat or damping regime the time dependent crossover length may conspire to produce a rough surface despite the most relevant term tends to flatten the surface in addition our analysis sheds light into an existing debate in the problem of spontaneous imbibition where time dependent couplings naturally arise in theoretical models and experiments
[['we', 'show', 'that', 'time', 'dependent', 'couplings', 'may', 'lead', 'to', 'nontrivial', 'scaling', 'properties', 'of', 'the', 'surface', 'fluctuations', 'of', 'the', 'asymptotic', 'regime', 'in', 'nonequilibrium', 'kinetic', 'roughening', 'models', 'three', 'typical', 'situations', 'are', 'studied', 'in', 'the', 'case', 'of', 'a', 'crossover', 'between', 'two', 'different', 'rough', 'regimes', 'the', 'timedependent', 'coupling', 'may', 'result', 'in', 'anomalous', 'scaling', 'for', 'scales', 'above', 'the', 'crossover', 'length', 'in', 'a', 'different', 'setting', 'for', 'a', 'crossover', 'from', 'a', 'rough', 'to', 'either', 'a', 'flat', 'or', 'damping', 'regime', 'the', 'time', 'dependent', 'crossover', 'length', 'may', 'conspire', 'to', 'produce', 'a', 'rough', 'surface', 'despite', 'the', 'most', 'relevant', 'term', 'tends', 'to', 'flatten', 'the', 'surface', 'in', 'addition', 'our', 'analysis', 'sheds', 'light', 'into', 'an', 'existing', 'debate', 'in', 'the', 'problem', 'of', 'spontaneous', 'imbibition', 'where', 'time', 'dependent', 'couplings', 'naturally', 'arise', 'in', 'theoretical', 'models', 'and', 'experiments']]
[-0.14668579180609465, 0.22826215653011117, -0.13626083319868185, 0.10328132214317144, -0.05892825812440027, -0.15560997421045072, 0.04060989926561467, 0.3327373348672928, -0.302826290870324, -0.27253083444743087, 0.04550900428569375, -0.29117647359871174, -0.13354896382459494, 0.21892811843070917, -0.0018864832741539341, 0.026988420624878596, -0.01448944678591672, -0.033779595031841726, -0.09072071549286373, -0.18999676490279516, 0.3115511143595473, 0.0011589956000324123, 0.3224131325490711, 0.1070757925410347, 0.04410894148528945, -0.062153572536050535, 0.010909188148173049, 0.04462395242125773, -0.16554820647855023, 0.014410570093569122, 0.2348107915410261, -0.04503401074835584, 0.2410386646212625, -0.4569723128749073, -0.2794673285439364, 0.06935144881217563, 0.17389317672538054, 0.1362795334863515, -0.025628020305740684, -0.22233764717763305, -0.01939492638045845, -0.09453073823593619, -0.12837783171803005, -0.026757818386959266, 0.036770739122139955, -0.005180002867498181, -0.27839203843315835, 0.14693394123792095, 0.08138794327262512, 0.014672817785508377, -0.055065666179149604, -0.06290744869654213, -0.010214159459506801, 0.11659954685750533, 0.12427101981602917, -0.0007865781711091188, 0.13014212878775006, -0.16255180631217755, -0.06729166291669504, 0.35246989745184903, -0.12215049119189011, -0.18004367639087449, 0.25890383100683595, -0.16558573635541335, -0.11146389980885116, 0.15269172749258886, 0.19663058110120252, 0.11165211662411505, -0.12229109461580918, 0.07855210725885763, 9.21626390566018e-05, 0.15965502942365803, 0.042002392738426396, 0.04109671687291674, 0.20356877076570407, 0.19957514913475588, 0.024236768791990833, 0.13017377863524573, -0.07136399732336925, -0.15456231163568362, -0.32803152883348385, -0.08134313831336734, -0.13855955614285034, 0.048777493398082405, -0.12541185421972587, -0.17947679627994614, 0.37356045398830384, 0.17501236492102148, 0.2613888810588863, 0.05972746146596537, 0.2157627162639021, 0.12334942592746648, 0.04534445629524421, 0.02947091397613841, 0.2484211312984078, 0.09388828864282628, 0.09082991898460083, -0.2526646748142825, 0.06828135546789435, 0.013997124812050054]
706.3597
Formation of Massive Primordial Stars in a Reionized Gas
We use cosmological hydrodynamic simulations with unprecedented resolution to study the formation of primordial stars in an ionized gas at high redshifts. Our approach includes all the relevant atomic and molecular physics to follow the thermal evolution of a prestellar gas cloud to very high densities of ~10^{18} cm^{-3}. We locate a star-forming gas cloud within a reionized region in our cosmological simulation. The first run-away collapse is triggered when the gas cloud's mass is ~40 Msun. We show that the cloud core remains stable against chemo-thermal instability and also against gravitational deformation throughout its evolution. Consequently, a single proto-stellar seed is formed, which accretes the surrounding hot gas at the rate ~10^{-3} Msun/year. We carry out proto-stellar evolution calculations using the inferred accretion rate. The resulting mass of the star when it reaches the zero-age main sequence is M_ZAMS ~40 Msun. We argue that, since the obtained M_ZAMS is as large as the mass of the collapsing parent cloud, the final stellar mass should be close to this value. Such massive, rather than exceptionally massive, primordial stars are expected to cause early chemical enrichment of the Universe by exploding as black hole-forming super/hypernovae, and may also be progenitors of high redshift gamma-ray bursts. The elemental abundance patterns of recently discovered hyper metal-poor stars suggest that they might have been born from the interstellar medium that was metal-enriched by supernovae of these massive primordial stars.
astro-ph
we use cosmological hydrodynamic simulations with unprecedented resolution to study the formation of primordial stars in an ionized gas at high redshifts our approach includes all the relevant atomic and molecular physics to follow the thermal evolution of a prestellar gas cloud to very high densities of 1018 cm3 we locate a starforming gas cloud within a reionized region in our cosmological simulation the first runaway collapse is triggered when the gas clouds mass is 40 msun we show that the cloud core remains stable against chemothermal instability and also against gravitational deformation throughout its evolution consequently a single protostellar seed is formed which accretes the surrounding hot gas at the rate 103 msunyear we carry out protostellar evolution calculations using the inferred accretion rate the resulting mass of the star when it reaches the zeroage main sequence is m_zams 40 msun we argue that since the obtained m_zams is as large as the mass of the collapsing parent cloud the final stellar mass should be close to this value such massive rather than exceptionally massive primordial stars are expected to cause early chemical enrichment of the universe by exploding as black holeforming superhypernovae and may also be progenitors of high redshift gammaray bursts the elemental abundance patterns of recently discovered hyper metalpoor stars suggest that they might have been born from the interstellar medium that was metalenriched by supernovae of these massive primordial stars
[['we', 'use', 'cosmological', 'hydrodynamic', 'simulations', 'with', 'unprecedented', 'resolution', 'to', 'study', 'the', 'formation', 'of', 'primordial', 'stars', 'in', 'an', 'ionized', 'gas', 'at', 'high', 'redshifts', 'our', 'approach', 'includes', 'all', 'the', 'relevant', 'atomic', 'and', 'molecular', 'physics', 'to', 'follow', 'the', 'thermal', 'evolution', 'of', 'a', 'prestellar', 'gas', 'cloud', 'to', 'very', 'high', 'densities', 'of', '1018', 'cm3', 'we', 'locate', 'a', 'starforming', 'gas', 'cloud', 'within', 'a', 'reionized', 'region', 'in', 'our', 'cosmological', 'simulation', 'the', 'first', 'runaway', 'collapse', 'is', 'triggered', 'when', 'the', 'gas', 'clouds', 'mass', 'is', '40', 'msun', 'we', 'show', 'that', 'the', 'cloud', 'core', 'remains', 'stable', 'against', 'chemothermal', 'instability', 'and', 'also', 'against', 'gravitational', 'deformation', 'throughout', 'its', 'evolution', 'consequently', 'a', 'single', 'protostellar', 'seed', 'is', 'formed', 'which', 'accretes', 'the', 'surrounding', 'hot', 'gas', 'at', 'the', 'rate', '103', 'msunyear', 'we', 'carry', 'out', 'protostellar', 'evolution', 'calculations', 'using', 'the', 'inferred', 'accretion', 'rate', 'the', 'resulting', 'mass', 'of', 'the', 'star', 'when', 'it', 'reaches', 'the', 'zeroage', 'main', 'sequence', 'is', 'm_zams', '40', 'msun', 'we', 'argue', 'that', 'since', 'the', 'obtained', 'm_zams', 'is', 'as', 'large', 'as', 'the', 'mass', 'of', 'the', 'collapsing', 'parent', 'cloud', 'the', 'final', 'stellar', 'mass', 'should', 'be', 'close', 'to', 'this', 'value', 'such', 'massive', 'rather', 'than', 'exceptionally', 'massive', 'primordial', 'stars', 'are', 'expected', 'to', 'cause', 'early', 'chemical', 'enrichment', 'of', 'the', 'universe', 'by', 'exploding', 'as', 'black', 'holeforming', 'superhypernovae', 'and', 'may', 'also', 'be', 'progenitors', 'of', 'high', 'redshift', 'gammaray', 'bursts', 'the', 'elemental', 'abundance', 'patterns', 'of', 'recently', 'discovered', 'hyper', 'metalpoor', 'stars', 'suggest', 'that', 'they', 'might', 'have', 'been', 'born', 'from', 'the', 'interstellar', 'medium', 'that', 'was', 'metalenriched', 'by', 'supernovae', 'of', 'these', 'massive', 'primordial', 'stars']]
[-0.0816420654372738, 0.17734172118238908, -0.05838251270505034, 0.10959070581449275, -0.05430720537218353, -0.007576589578062168, 0.04592707513236544, 0.3675759096836878, -0.16363821766124323, -0.3418155949180707, 0.04604517120537627, -0.2622330494515566, 0.008066224144735875, 0.1456669352691955, -0.004401726661301984, -0.0407951705759236, 0.08484701103576595, -0.056797773278772064, -0.05567853600994443, -0.2962757960592723, 0.3470285767201796, 0.13345596536150217, 0.1408553244595806, -0.014662202693915997, 0.04547074155574296, -0.19764122229196832, -0.02648717022409392, -0.05940344154786987, -0.1605562800249238, -0.011836958167533208, 0.2138926204508887, 0.16195982476819754, 0.24597930531296083, -0.39733104622707915, -0.25179237372074753, 0.051488223688193877, 0.2403145505525331, 0.10098539321816677, -0.12446281695380233, -0.24119061974730963, 0.12320367016896215, -0.2436799630209302, -0.1914836214735913, 0.04746091812669944, 0.040212723635471403, 0.017436539098564695, -0.22941340195436954, 0.16578106038719137, -0.015746186521206785, -0.0024423063307630923, -0.10803258199924821, -0.07534802904547566, -0.10636742039917944, 0.0520254726754004, 0.027218331141063035, 0.08125173375030391, 0.26498432538241273, -0.14673236418519423, 0.058196386815900475, 0.4492208335078998, -0.08137111712286187, 0.018703895029970087, 0.25847778180673814, -0.23091005377519208, -0.19566105683752072, 0.18717012213220677, 0.14142502217879918, 0.13315815527517444, -0.1521643146830979, -0.029577079965623167, -0.008792458765027631, 0.1896927237817142, 0.07746101190252344, 0.04667197351650391, 0.4069032513886754, 0.16950697996792916, -0.020761825792037714, 0.0759141190847159, -0.18239987562370732, -0.08517114883368342, -0.1982426387721794, -0.12034186115388909, -0.14723729658682838, 0.140713643317477, -0.14433721931529098, -0.13022635787582168, 0.2596007199951997, 0.13365602179611516, 0.20805031637080076, 0.018115134712240986, 0.31464254301296085, 0.0786525872317103, 0.0980824249314988, 0.14841462422906557, 0.3189199085080694, 0.18807882634707943, 0.11534758437420918, -0.24782438915616906, 0.08862645502906674, 0.008333299559755968]
706.3598
Jet disc coupling in black hole binaries
In the last decade multi-wavelength observations have demonstrated the importance of jets in the energy output of accreting black hole binaries. The observed correlations between the presence of a jet and the state of the accretion flow provide important information on the coupling between accretion and ejection processes. After a brief review of the properties of black hole binaries, I illustrate the connection between accretion and ejection through two particularly interesting examples. First, an INTEGRAL observation of Cygnus X-1 during a 'mini-' state transition reveals disc jet coupling on time scales of orders of hours. Second, the black hole XTEJ1118+480 shows complex correlations between the X-ray and optical emission. Those correlations are interpreted in terms of coupling between disc and jet on time scales of seconds or less. Those observations are discussed in the framework of current models.
astro-ph
in the last decade multiwavelength observations have demonstrated the importance of jets in the energy output of accreting black hole binaries the observed correlations between the presence of a jet and the state of the accretion flow provide important information on the coupling between accretion and ejection processes after a brief review of the properties of black hole binaries i illustrate the connection between accretion and ejection through two particularly interesting examples first an integral observation of cygnus x1 during a mini state transition reveals disc jet coupling on time scales of orders of hours second the black hole xtej1118480 shows complex correlations between the xray and optical emission those correlations are interpreted in terms of coupling between disc and jet on time scales of seconds or less those observations are discussed in the framework of current models
[['in', 'the', 'last', 'decade', 'multiwavelength', 'observations', 'have', 'demonstrated', 'the', 'importance', 'of', 'jets', 'in', 'the', 'energy', 'output', 'of', 'accreting', 'black', 'hole', 'binaries', 'the', 'observed', 'correlations', 'between', 'the', 'presence', 'of', 'a', 'jet', 'and', 'the', 'state', 'of', 'the', 'accretion', 'flow', 'provide', 'important', 'information', 'on', 'the', 'coupling', 'between', 'accretion', 'and', 'ejection', 'processes', 'after', 'a', 'brief', 'review', 'of', 'the', 'properties', 'of', 'black', 'hole', 'binaries', 'i', 'illustrate', 'the', 'connection', 'between', 'accretion', 'and', 'ejection', 'through', 'two', 'particularly', 'interesting', 'examples', 'first', 'an', 'integral', 'observation', 'of', 'cygnus', 'x1', 'during', 'a', 'mini', 'state', 'transition', 'reveals', 'disc', 'jet', 'coupling', 'on', 'time', 'scales', 'of', 'orders', 'of', 'hours', 'second', 'the', 'black', 'hole', 'xtej1118480', 'shows', 'complex', 'correlations', 'between', 'the', 'xray', 'and', 'optical', 'emission', 'those', 'correlations', 'are', 'interpreted', 'in', 'terms', 'of', 'coupling', 'between', 'disc', 'and', 'jet', 'on', 'time', 'scales', 'of', 'seconds', 'or', 'less', 'those', 'observations', 'are', 'discussed', 'in', 'the', 'framework', 'of', 'current', 'models']]
[-0.15209025351087685, 0.11324917855497493, -0.05042285337517767, 0.12630971798511303, -0.06051786106241786, -0.08040785328215123, 0.0077710425400215645, 0.4037961968004812, -0.20376707278057068, -0.34428831401780463, 0.09870420323104422, -0.31284171739336697, -0.04756689185202392, 0.23470413672528567, 0.02676631084413848, -0.006947075212509304, 0.08540837409352695, -0.033221622336566434, -0.10267410473898053, -0.2075953684726973, 0.34074764187781786, 0.07995999841680886, 0.16297561836604407, 0.025121344604353973, 0.10837120927222398, -0.03877400568909133, -0.04876846879504729, -0.031060575075663517, -0.13231853364656368, 0.0516185717171301, 0.21043877585477763, 0.10679369750415799, 0.23385661206428768, -0.42669750399131706, -0.23160787178473413, -0.01220454154299923, 0.1430946363615331, 0.02032027434071769, -0.07004282576878947, -0.24603523558977505, -0.0061477420276260355, -0.2390440268765973, -0.0753631262054694, 0.01971507120364602, 0.07405450875344484, 0.02208337918990224, -0.1919691525475608, 0.14912304522780082, 0.06985404185758418, 0.015167538972531, -0.11179815368740346, -0.0147334439072596, -0.06555186307219707, 0.10121975347662912, 0.14992921878381268, 0.020794077120903556, 0.1648410393424548, -0.1483762109655536, -0.15900956122272147, 0.3455703619638107, -0.035198058548342924, -0.030164952761075205, 0.2085557320548316, -0.25422107586569653, -0.1400057536455384, 0.15064721712775098, 0.18965479363164311, 0.15617511463958933, -0.10306186643867767, 0.0014496660345078756, 0.019259715142349403, 0.19760108904591872, 0.03539113914998977, 0.10226938523946033, 0.3668057251066995, 0.16631871882397548, -0.031048216818210978, 0.16550739085895644, -0.1688301411381015, -0.12105285542919234, -0.2931326571851969, -0.11030479232768825, -0.13927780062236916, 0.10161866007062297, -0.15054190271832235, -0.10737913779482461, 0.38725185148633906, 0.08911515142012766, 0.2488687093794832, -0.03498841737282287, 0.27875248286400695, 0.06265903673593656, 0.01373324933650809, 0.12260282762260918, 0.35723938313785236, 0.17845666563084375, 0.1478940590109298, -0.24840933367448853, 0.0826393507414268, 0.043686308515042176]
706.3599
Generation of perturbation after multi-field inflation
We explore a new possibility that some inflaton fields in multi-field inflation models satisfy the observed value of the spectral index so that the curvature perturbation generated by them through post-inflationary dynamics may be relevant for the current observations. We illustrate this point using a simple and reasonable multi-field chaotic inflation model motivated from string theory. Possible non-Gaussianity and the tensor-to-scalar ratio are briefly addressed.
astro-ph gr-qc hep-ph hep-th
we explore a new possibility that some inflaton fields in multifield inflation models satisfy the observed value of the spectral index so that the curvature perturbation generated by them through postinflationary dynamics may be relevant for the current observations we illustrate this point using a simple and reasonable multifield chaotic inflation model motivated from string theory possible nongaussianity and the tensortoscalar ratio are briefly addressed
[['we', 'explore', 'a', 'new', 'possibility', 'that', 'some', 'inflaton', 'fields', 'in', 'multifield', 'inflation', 'models', 'satisfy', 'the', 'observed', 'value', 'of', 'the', 'spectral', 'index', 'so', 'that', 'the', 'curvature', 'perturbation', 'generated', 'by', 'them', 'through', 'postinflationary', 'dynamics', 'may', 'be', 'relevant', 'for', 'the', 'current', 'observations', 'we', 'illustrate', 'this', 'point', 'using', 'a', 'simple', 'and', 'reasonable', 'multifield', 'chaotic', 'inflation', 'model', 'motivated', 'from', 'string', 'theory', 'possible', 'nongaussianity', 'and', 'the', 'tensortoscalar', 'ratio', 'are', 'briefly', 'addressed']]
[-0.15128761067843208, 0.19478522106431997, -0.10323701330388968, 0.1846898762276396, -0.09892934913245531, -0.17422765605666568, -0.005557943158783019, 0.3285221318212839, -0.2618727151877605, -0.2547649521094102, 0.09311319327949044, -0.1926317814164437, -0.20771302584415444, 0.1865092074749275, -0.054450913002857794, 0.06111631409193461, 0.048395747519456425, -0.009023628828044122, 0.02832022904543779, -0.2637858931834881, 0.3316841480465463, 0.10985542073702582, 0.20605793019326835, 0.010391354045042624, 0.01387282914410417, -0.10453802220380078, -0.030968269837411265, 0.04146308138106878, -0.21817503272166225, 0.08883838159247087, 0.17357536588617503, 0.1789880250222408, 0.20889819586792818, -0.4327918969667875, -0.2948989820881532, 0.17697913272736165, 0.09561467399247564, 0.14253924640898522, -0.06035297583215512, -0.28768888316475427, 0.04671192681416869, -0.1752761045506654, -0.11585976416245103, -0.13482985009367648, -0.024730739878633848, -0.055737972531754235, -0.29065503584077723, 0.09165434542900094, -0.04712031214103962, 0.010815292869049769, -0.018985919115276865, -0.051206145564524026, -0.0355372288192694, 0.003579143857440123, 0.12691263078461187, -0.009717759504341162, 0.15441098231822253, -0.1741191140196931, -0.08374745054886891, 0.3674119427227057, -0.16796623743497407, -0.12328855231977426, 0.07401462116708549, -0.1216448304673227, -0.194058102197372, 0.04650963347118634, 0.09758284996765164, 0.10364671631787832, -0.11469030649616169, 0.17753010058166602, 0.05569645076846847, 0.15853460537708508, 0.1023516067590278, 0.014628898139254979, 0.3677597174850794, 0.10940266446783566, 0.005781095381826163, 0.11947450322421412, -0.028750070224319083, -0.1329287157116386, -0.4094534487105333, -0.027503799346203988, -0.16788594598272957, 0.06709469722297329, -0.17507191452224596, -0.13665226803949246, 0.46842598797610174, 0.23439280517721692, 0.2367350281144564, 0.06483339455623466, 0.25571761770317186, 0.12659108739776107, 0.004730765320933782, 0.03809205422607752, 0.3206853076479792, 0.1258328979011052, 0.11685780003093756, -0.18140296230737407, -0.04815025390484012, 0.01626239428296685]
706.36
Experimental search for neutron - mirror neutron oscillations using storage of ultracold neutrons
The idea of a hidden sector of mirror partners of elementary particles has attracted considerable interest as a possible candidate for dark matter. Recently it was pointed out by Berezhiani and Bento that the present experimental data cannot exclude the possibility of a rapid oscillation of the neutron n to a mirror neutron n' with oscillation time much smaller than the neutron lifetime. A dedicated search for vacuum transitions n->n' has to be performed at weak magnetic field, where both states are degenerate. We report the result of our experiment, which compares rates of ultracold neutrons after storage at a weak magnetic field well below 20 nT and at a magnetic field strong enough to suppress the seeked transitions. We obtain a new limit for the oscillation time of n-n' transitions, tau_osc (90% C.L.) > 414 s. The corresponding limit for the mixing energy of the normal and mirror neutron states is delta_m (90% C.L.) < 1.5x10-18 eV.
nucl-ex
the idea of a hidden sector of mirror partners of elementary particles has attracted considerable interest as a possible candidate for dark matter recently it was pointed out by berezhiani and bento that the present experimental data cannot exclude the possibility of a rapid oscillation of the neutron n to a mirror neutron n with oscillation time much smaller than the neutron lifetime a dedicated search for vacuum transitions nn has to be performed at weak magnetic field where both states are degenerate we report the result of our experiment which compares rates of ultracold neutrons after storage at a weak magnetic field well below 20 nt and at a magnetic field strong enough to suppress the seeked transitions we obtain a new limit for the oscillation time of nn transitions tau_osc 90 cl 414 s the corresponding limit for the mixing energy of the normal and mirror neutron states is delta_m 90 cl 15x1018 ev
[['the', 'idea', 'of', 'a', 'hidden', 'sector', 'of', 'mirror', 'partners', 'of', 'elementary', 'particles', 'has', 'attracted', 'considerable', 'interest', 'as', 'a', 'possible', 'candidate', 'for', 'dark', 'matter', 'recently', 'it', 'was', 'pointed', 'out', 'by', 'berezhiani', 'and', 'bento', 'that', 'the', 'present', 'experimental', 'data', 'can', 'not', 'exclude', 'the', 'possibility', 'of', 'a', 'rapid', 'oscillation', 'of', 'the', 'neutron', 'n', 'to', 'a', 'mirror', 'neutron', 'n', 'with', 'oscillation', 'time', 'much', 'smaller', 'than', 'the', 'neutron', 'lifetime', 'a', 'dedicated', 'search', 'for', 'vacuum', 'transitions', 'nn', 'has', 'to', 'be', 'performed', 'at', 'weak', 'magnetic', 'field', 'where', 'both', 'states', 'are', 'degenerate', 'we', 'report', 'the', 'result', 'of', 'our', 'experiment', 'which', 'compares', 'rates', 'of', 'ultracold', 'neutrons', 'after', 'storage', 'at', 'a', 'weak', 'magnetic', 'field', 'well', 'below', '20', 'nt', 'and', 'at', 'a', 'magnetic', 'field', 'strong', 'enough', 'to', 'suppress', 'the', 'seeked', 'transitions', 'we', 'obtain', 'a', 'new', 'limit', 'for', 'the', 'oscillation', 'time', 'of', 'nn', 'transitions', 'tau_osc', '90', 'cl', '414', 's', 'the', 'corresponding', 'limit', 'for', 'the', 'mixing', 'energy', 'of', 'the', 'normal', 'and', 'mirror', 'neutron', 'states', 'is', 'delta_m', '90', 'cl', '15x1018', 'ev']]
[-0.1326196365509062, 0.24255700896779495, -0.04729923805101745, 0.09555126978760405, -0.034856882715417495, -0.12603851678150316, 0.12929625577864148, 0.29694145815747397, -0.20214655621037367, -0.35409418850416136, 0.06664973825757062, -0.29723295687787954, -0.00019291784922261874, 0.18772849633899186, 0.06194413160124133, 0.02724354774841378, 0.04650542346400119, 0.0798103419327808, -0.05170906230904943, -0.2034799565846521, 0.2636463988639955, 0.09364874525776794, 0.2540728061850513, 0.0630214478490093, 0.07472576712363309, -0.02323657448944305, 0.03813630192570629, -0.035103627874125395, -0.1128075680502544, 0.04359648581819549, 0.22252318345971644, 0.05498060725869671, 0.19054569841903304, -0.42932020430603335, -0.1826688354166465, 0.14295422008501427, 0.12113384403168194, 0.11710802224810204, -0.0798126652941949, -0.3068525257805783, 0.08708756582120493, -0.1649981130635546, -0.14903452586262456, -0.07897848844408027, 0.05705139289024256, -0.0023921269442765945, -0.28017034568868937, 0.06961055617899664, 0.04035832631446782, 0.0310533799891991, -0.04061778263459283, -0.1419203591044812, -0.0150270203849481, 0.03230509677481267, 0.0647661054101322, 0.08247051381115471, 0.11822878391868735, -0.12785862588751762, -0.08105163064920494, 0.3538529168513994, -0.10723022983846961, -0.07331290895930462, 0.1603593805188974, -0.17192812037744348, -0.12463433141970347, 0.18667351568658505, 0.1270633334684516, 0.13083974368149234, -0.11519821172940635, 0.09080685914471565, -0.040883917289395486, 0.19620465909266063, 0.0718708019222944, 0.03752037629545216, 0.25992175855283295, 0.21296413425175895, 0.050371186957964977, 0.0931264762008082, -0.16947778534865188, -0.055150039848916595, -0.29624368068311485, -0.1290951353278116, -0.14647678681198628, 0.07121368902782353, -0.03146040745411864, -0.09447211709113852, 0.36634853331732653, 0.08720923607207594, 0.2064360776495549, -0.00437065465601101, 0.23551919967717222, 0.08605650959896945, 0.06979536437429487, 0.019718922412533674, 0.3332090986081429, 0.17916533569894513, 0.11973906394034144, -0.23174986446035967, 0.006652949870594086, -0.011091247197961614]
706.3601
Modelling exchange bias in core/shell nanoparticles
We present an atomistic model of a single nanoparticle with core/shell structure that takes into account its lattice strucutre and spherical geometry, and in which the values of microscopic parameters such as anisotropy and exchange constants can be tuned in the core, shell and interfacial regions. By means of Monte Carlo simulations of the hysteresis loops based on this model, we have determined the range of microscopic parameters for which loop shifts after field cooling can be observed. The study of the magnetic order of the interfacial spins for different particles sizes and values of the interfacial exchange coupling have allowed us to correlate the appearance of loop asymmetries and vertical displacements to the existence of a fraction of uncompensated spins at the shell interface that remain pinned during field cycling, offering new insight on the microscopic origin of the experimental phenomenology.
cond-mat.mtrl-sci
we present an atomistic model of a single nanoparticle with coreshell structure that takes into account its lattice strucutre and spherical geometry and in which the values of microscopic parameters such as anisotropy and exchange constants can be tuned in the core shell and interfacial regions by means of monte carlo simulations of the hysteresis loops based on this model we have determined the range of microscopic parameters for which loop shifts after field cooling can be observed the study of the magnetic order of the interfacial spins for different particles sizes and values of the interfacial exchange coupling have allowed us to correlate the appearance of loop asymmetries and vertical displacements to the existence of a fraction of uncompensated spins at the shell interface that remain pinned during field cycling offering new insight on the microscopic origin of the experimental phenomenology
[['we', 'present', 'an', 'atomistic', 'model', 'of', 'a', 'single', 'nanoparticle', 'with', 'coreshell', 'structure', 'that', 'takes', 'into', 'account', 'its', 'lattice', 'strucutre', 'and', 'spherical', 'geometry', 'and', 'in', 'which', 'the', 'values', 'of', 'microscopic', 'parameters', 'such', 'as', 'anisotropy', 'and', 'exchange', 'constants', 'can', 'be', 'tuned', 'in', 'the', 'core', 'shell', 'and', 'interfacial', 'regions', 'by', 'means', 'of', 'monte', 'carlo', 'simulations', 'of', 'the', 'hysteresis', 'loops', 'based', 'on', 'this', 'model', 'we', 'have', 'determined', 'the', 'range', 'of', 'microscopic', 'parameters', 'for', 'which', 'loop', 'shifts', 'after', 'field', 'cooling', 'can', 'be', 'observed', 'the', 'study', 'of', 'the', 'magnetic', 'order', 'of', 'the', 'interfacial', 'spins', 'for', 'different', 'particles', 'sizes', 'and', 'values', 'of', 'the', 'interfacial', 'exchange', 'coupling', 'have', 'allowed', 'us', 'to', 'correlate', 'the', 'appearance', 'of', 'loop', 'asymmetries', 'and', 'vertical', 'displacements', 'to', 'the', 'existence', 'of', 'a', 'fraction', 'of', 'uncompensated', 'spins', 'at', 'the', 'shell', 'interface', 'that', 'remain', 'pinned', 'during', 'field', 'cycling', 'offering', 'new', 'insight', 'on', 'the', 'microscopic', 'origin', 'of', 'the', 'experimental', 'phenomenology']]
[-0.12836246276016078, 0.21456387930668147, -0.06578751838777938, 0.025021948014602433, -0.05147338852050229, -0.08772283412424296, 0.0535993766298675, 0.39355657901614904, -0.26993485971708114, -0.34313562559619754, 0.03957028583702172, -0.24412431134383233, -0.06307116151347913, 0.16237004918151232, 0.08192156341122005, -0.020761730944824693, 0.02383577186797916, -0.02723661851314959, -0.056772120326468854, -0.16087349545879578, 0.2848734435931579, 0.07660390130608198, 0.2418890644379721, 0.11189232348188968, 0.09003687365321626, 0.0016867593422689488, 0.07354045084687474, 0.07146277844013882, -0.17979610570705198, 0.10254892909368106, 0.16882160195464294, -0.02126053466433315, 0.17735728237312287, -0.5003907464864389, -0.2095367666465086, 0.042837699102959266, 0.15727959547690312, 0.1310966042063894, -0.04838239438799013, -0.2615595697654857, 0.04497681154121815, -0.13703444214131105, -0.12904670849954053, -0.08138547599656691, -0.006534567888183388, 0.017581862022011528, -0.26174109838337273, 0.0832650040925651, 0.037636693668696035, 0.06948196605949754, -0.1050181970349513, -0.11995844268502379, -0.057834636980772645, 0.16545669797850562, 0.07074847469568699, 0.0028969304927978926, 0.19021390973832983, -0.11310373444165903, -0.10150564271746806, 0.36298548997688096, -0.02863711477372087, -0.1479543455272608, 0.14862812289633645, -0.177131528752974, -0.0776720493900734, 0.17881197866682016, 0.1710161834522347, 0.07705567187537819, -0.13533410250945477, 0.08386829979537369, 0.0136832193779746, 0.18101441431265902, 0.02500912281979715, 0.01332288183121037, 0.2712104294422856, 0.17996308366722152, -0.0074478696316847915, 0.1431034481936646, -0.14123573296040978, -0.15083431605984207, -0.28532993093028036, -0.14163750279563622, -0.15864808078933978, 0.03172955567896051, -0.13691316951172014, -0.19422874470818524, 0.4059947010615027, 0.14658021107381602, 0.21361081964585563, -0.01241368065509473, 0.23700461043438442, 0.07354328824161277, 0.10661036650728907, 0.014194514400745466, 0.2797977895489041, 0.16555385157944713, 0.064498449750343, -0.3038980888406103, 0.09990290225840921, 0.02664369090893109]
706.3602
Twisted noncommutative equivariant cohomology: Weil and Cartan models
We propose Weil and Cartan models for the equivariant cohomology of noncommutative spaces which carry a covariant action of Drinfel'd twisted symmetries. The construction is suggested by the noncommutative Weil algebra of Alekseev and Meinrenken; we show that one can implement a Drinfel'd twist of their models in order to take into account the noncommutativity of the spaces we are acting on.
math.QA hep-th math-ph math.MP
we propose weil and cartan models for the equivariant cohomology of noncommutative spaces which carry a covariant action of drinfeld twisted symmetries the construction is suggested by the noncommutative weil algebra of alekseev and meinrenken we show that one can implement a drinfeld twist of their models in order to take into account the noncommutativity of the spaces we are acting on
[['we', 'propose', 'weil', 'and', 'cartan', 'models', 'for', 'the', 'equivariant', 'cohomology', 'of', 'noncommutative', 'spaces', 'which', 'carry', 'a', 'covariant', 'action', 'of', 'drinfeld', 'twisted', 'symmetries', 'the', 'construction', 'is', 'suggested', 'by', 'the', 'noncommutative', 'weil', 'algebra', 'of', 'alekseev', 'and', 'meinrenken', 'we', 'show', 'that', 'one', 'can', 'implement', 'a', 'drinfeld', 'twist', 'of', 'their', 'models', 'in', 'order', 'to', 'take', 'into', 'account', 'the', 'noncommutativity', 'of', 'the', 'spaces', 'we', 'are', 'acting', 'on']]
[-0.18717107927847293, 0.10641116154335079, -0.1441004100150519, 0.12740757626729207, -0.15651353418586716, -0.10353723632532262, -0.05749435284205021, 0.3439015422256724, -0.31701035932787963, -0.22927742700783477, 0.07362746094135687, -0.16578015211533995, -0.16811086168332445, 0.16632132914157643, -0.19571487831149903, -0.030852746969509508, -0.020596038880607775, 0.09640512993228773, -0.1619593280840725, -0.30978950555201606, 0.4869664206935634, 0.01118063424233227, 0.22739175573411968, 0.020606580190360546, 0.14932061593619086, 0.0028925731612910186, -0.03617736700201227, -0.07685163689236488, -0.10027237518583969, 0.17690348176045284, 0.25791040847545976, 0.022600844464895707, 0.17680414501697786, -0.42319903300414163, -0.13681386259803172, 0.13214897086483338, 0.11934529834487025, 0.0560598281538865, 0.012810204619346488, -0.347596391705015, 0.027535785800747333, -0.26466316618626157, -0.08856573978048418, -0.19165505911974656, 0.049189993510803866, -0.04052502992412736, -0.23841605504463997, -0.02368034010813121, 0.09163853641779672, 0.09867267831859569, -0.12696471612434834, -0.08462056374898361, -0.10073410392168068, 0.07801825152109226, -0.0075121681063225676, 0.028051116496264454, 0.12123469692549758, -0.04595297561477749, -0.19514579558745027, 0.3751120129600167, -0.009719631644040947, -0.24567657602470247, 0.02438261666365208, -0.1729633092745057, -0.2069819996418852, 0.039854651474724376, 0.09749196319570465, 0.13534085175413038, 0.024133944913985267, 0.20997538755369943, -0.11433119122539798, 0.006646567865485145, 0.08615922237250713, -0.028882758624310934, 0.1471652465932552, 0.05729353225098983, 0.005118363675841641, 0.13305547415849664, -0.01245001919432393, -0.11517686899113018, -0.38950576002319015, -0.22376162504388636, -0.05777635545499863, 0.16753849106269977, -0.09661376218625059, -0.15316259272156224, 0.41251404937957564, 0.15620710175754804, 0.1701857809262771, 0.09435098073933454, 0.20042844284926692, 0.1034943078975043, 0.16840902195807786, 0.0015539395427631756, 0.1918165608339252, 0.25938062712685356, -0.02171086728940868, -0.14166297923563229, -0.09564509432792904, 0.280725413409058]
706.3603
Critical mass of bacterial populations and critical temperature of self-gravitating Brownian particles in two dimensions
We show that the critical mass M_c=8\pi of bacterial populations in two dimensions in the chemotactic problem is the counterpart of the critical temperature T_c=GMm/4k_B of self-gravitating Brownian particles in two-dimensional gravity. We obtain these critical values by using the Virial theorem or by considering stationary solutions of the Keller-Segel model and Smoluchowski-Poisson system. We also consider the case of one dimensional systems and develop the connection with the Burgers equation. Finally, we discuss the evolution of the system as a function of M or T in bounded and unbounded domains in dimensions d=1, 2 and 3 and show the specificities of each dimension. This paper aims to point out the numerous analogies between bacterial populations, self-gravitating Brownian particles and, occasionally, two-dimensional vortices.
physics.bio-ph q-bio.CB
we show that the critical mass m_c8pi of bacterial populations in two dimensions in the chemotactic problem is the counterpart of the critical temperature t_cgmm4k_b of selfgravitating brownian particles in twodimensional gravity we obtain these critical values by using the virial theorem or by considering stationary solutions of the kellersegel model and smoluchowskipoisson system we also consider the case of one dimensional systems and develop the connection with the burgers equation finally we discuss the evolution of the system as a function of m or t in bounded and unbounded domains in dimensions d1 2 and 3 and show the specificities of each dimension this paper aims to point out the numerous analogies between bacterial populations selfgravitating brownian particles and occasionally twodimensional vortices
[['we', 'show', 'that', 'the', 'critical', 'mass', 'm_c8pi', 'of', 'bacterial', 'populations', 'in', 'two', 'dimensions', 'in', 'the', 'chemotactic', 'problem', 'is', 'the', 'counterpart', 'of', 'the', 'critical', 'temperature', 't_cgmm4k_b', 'of', 'selfgravitating', 'brownian', 'particles', 'in', 'twodimensional', 'gravity', 'we', 'obtain', 'these', 'critical', 'values', 'by', 'using', 'the', 'virial', 'theorem', 'or', 'by', 'considering', 'stationary', 'solutions', 'of', 'the', 'kellersegel', 'model', 'and', 'smoluchowskipoisson', 'system', 'we', 'also', 'consider', 'the', 'case', 'of', 'one', 'dimensional', 'systems', 'and', 'develop', 'the', 'connection', 'with', 'the', 'burgers', 'equation', 'finally', 'we', 'discuss', 'the', 'evolution', 'of', 'the', 'system', 'as', 'a', 'function', 'of', 'm', 'or', 't', 'in', 'bounded', 'and', 'unbounded', 'domains', 'in', 'dimensions', 'd1', '2', 'and', '3', 'and', 'show', 'the', 'specificities', 'of', 'each', 'dimension', 'this', 'paper', 'aims', 'to', 'point', 'out', 'the', 'numerous', 'analogies', 'between', 'bacterial', 'populations', 'selfgravitating', 'brownian', 'particles', 'and', 'occasionally', 'twodimensional', 'vortices']]
[-0.1337464641210092, 0.1351302897111197, -0.044202242369863615, 0.03820684841595405, 0.02206181272602648, -0.13330576709310007, 0.012963756896778634, 0.28985399429586306, -0.24475411059381055, -0.26697617760774767, 0.10223198942128138, -0.29100818529509564, -0.1790204952809621, 0.13921493400380877, -0.024626670068530136, 0.06776901659633183, -0.0005440376775939603, 0.03140968399522595, -0.016968708529621977, -0.24464982645855524, 0.3851852655133679, -0.03791207999706823, 0.19625975327058273, 0.011052291971161839, 0.13201692146980318, -0.026166602480417685, 0.011895042360175308, 0.044826403456501476, -0.2009542303524593, 0.06888903727397046, 0.18342631346592295, 0.05053046545252389, 0.2772406072409685, -0.41462554522474443, -0.23611886158954998, 0.1259997266860417, 0.19251047974944976, 0.10822226410377617, -0.03219783883772729, -0.26674869403912693, 0.0387985407748098, -0.14078515537144723, -0.22190779149301412, -0.017033953104198963, 0.05195262664082376, 0.07645807041178558, -0.2315501627966392, 0.1425522717294641, 0.10477237210201085, 0.05191952271063712, -0.1367948700035037, -0.08175297939287852, -0.02790905635665394, 0.10262478088617541, 0.06733702129707479, -0.01514479580281441, 0.12616143660419735, -0.16556846129031869, -0.12561126276542825, 0.3973468710160391, -0.06948226133663561, -0.25238473243888254, 0.25987665557056233, -0.21136477471844964, -0.11089249083018007, 0.06834480798349155, 0.17722259067799434, 0.11796344748182484, -0.1437955318280488, 0.11100308448249428, -0.052281159722854284, 0.1531503820218904, 0.07409594097359429, -0.026076293946821087, 0.2232395876583851, 0.18905856362582485, 0.07256113980658167, 0.17615162479606541, -0.0847032953107591, -0.13452725164007304, -0.26896214933126916, -0.20300014573341804, -0.14517133035658558, 0.07276609195165398, -0.1411108591794402, -0.1410335258018872, 0.3402375959606518, 0.15870720299666993, 0.1992016174688104, 0.06894382177698156, 0.24607257215567857, 0.13276093701874328, -0.01638016637322331, 0.08793921943384507, 0.2001820424386908, 0.13392537145890787, 0.12752256263239878, -0.21658381566882504, -0.04241053974025013, 0.09705559760445155]
706.3604
An introduction to Seiberg-Witten theory on closed 3-manifolds
This is a version of the author's diploma thesis written at the University of Cologne in 2002/03. The topic is the construction of Seiberg-Witten invariants of closed 3-manifolds. In analogy to the four dimensional case, the structure of the moduli space is investigated. The Seiberg-Witten invariants are defined and their behaviour under deformation of the Riemannian metric is analyzed. Since it is essentially an exposition of results which were already known during the time of writing, the thesis has not been published. In particular, the author does not claim any originality concerning the results. Moreover, new developments of the theory are not included. However, the detailed account--together with the appendices on the required functional analytic and geometric background--might be of interest for people starting to work in the area of gauge field theory.
math.GT
this is a version of the authors diploma thesis written at the university of cologne in 200203 the topic is the construction of seibergwitten invariants of closed 3manifolds in analogy to the four dimensional case the structure of the moduli space is investigated the seibergwitten invariants are defined and their behaviour under deformation of the riemannian metric is analyzed since it is essentially an exposition of results which were already known during the time of writing the thesis has not been published in particular the author does not claim any originality concerning the results moreover new developments of the theory are not included however the detailed accounttogether with the appendices on the required functional analytic and geometric backgroundmight be of interest for people starting to work in the area of gauge field theory
[['this', 'is', 'a', 'version', 'of', 'the', 'authors', 'diploma', 'thesis', 'written', 'at', 'the', 'university', 'of', 'cologne', 'in', '200203', 'the', 'topic', 'is', 'the', 'construction', 'of', 'seibergwitten', 'invariants', 'of', 'closed', '3manifolds', 'in', 'analogy', 'to', 'the', 'four', 'dimensional', 'case', 'the', 'structure', 'of', 'the', 'moduli', 'space', 'is', 'investigated', 'the', 'seibergwitten', 'invariants', 'are', 'defined', 'and', 'their', 'behaviour', 'under', 'deformation', 'of', 'the', 'riemannian', 'metric', 'is', 'analyzed', 'since', 'it', 'is', 'essentially', 'an', 'exposition', 'of', 'results', 'which', 'were', 'already', 'known', 'during', 'the', 'time', 'of', 'writing', 'the', 'thesis', 'has', 'not', 'been', 'published', 'in', 'particular', 'the', 'author', 'does', 'not', 'claim', 'any', 'originality', 'concerning', 'the', 'results', 'moreover', 'new', 'developments', 'of', 'the', 'theory', 'are', 'not', 'included', 'however', 'the', 'detailed', 'accounttogether', 'with', 'the', 'appendices', 'on', 'the', 'required', 'functional', 'analytic', 'and', 'geometric', 'backgroundmight', 'be', 'of', 'interest', 'for', 'people', 'starting', 'to', 'work', 'in', 'the', 'area', 'of', 'gauge', 'field', 'theory']]
[-0.1275591050391974, 0.08408245721750605, -0.12855011725599189, 0.048808501617456895, -0.09898692987972998, -0.07306970377587749, -0.021932586656087112, 0.31556916071940927, -0.2035386521664256, -0.3048162779820557, 0.12887268137979457, -0.2607021523667997, -0.17076557675884851, 0.20005846489576323, -0.1415282411550577, 0.02298870494319055, 0.038344286133371694, 0.09216480103555981, -0.07422482334112905, -0.33725051087583235, 0.3563305148286105, 0.057917439499656664, 0.26039345944229203, 0.09788008607108188, 0.07520436059384969, -0.004237175220623612, -0.08838786051132297, 0.0201251451741417, -0.14254311213397797, 0.14405807677144541, 0.27667586141415224, 0.09908562940286555, 0.22259726177879702, -0.4117042400824432, -0.18926686223197323, 0.0577436538407835, 0.09907260177059825, 0.09703849165661274, -0.007643866492257603, -0.28127049439842633, 0.06952241508873137, -0.13691340814138414, -0.1511871425109695, -0.04457310624847203, 0.018685418841400618, -0.018743800945786177, -0.16051607658128603, -0.005197712433531539, 0.09227054218498577, 0.11773958920238127, -0.06610970784917132, -0.1063421128730055, -0.014820436833298388, 0.14042736741692852, 0.09727650037113549, 0.06939614977410333, 0.07972294783294342, -0.11626281071604694, -0.09677485016508754, 0.37388069914895616, -0.035044023361881727, -0.20031687986987237, 0.1456855315473357, -0.1475572909960765, -0.20831404185235386, 0.10170081072977481, 0.10263954038653551, 0.15069737864075272, -0.16092879900340887, 0.1823811457298682, -0.058244589019481464, 0.11872034634104468, 0.07610158529843537, -0.006934529013988626, 0.15731816880319638, 0.11197527857916785, -0.006500616406609538, 0.11786230793844851, -0.006324503451713738, -0.13734690296172186, -0.3575648776049377, -0.2002881580471854, -0.1850383404361525, 0.06492263700078572, -0.0015386151048116642, -0.1643424424598747, 0.41606729693412214, 0.0832508256252791, 0.12031245737457434, 0.03304514941805618, 0.24624014739658087, 0.09438048539868066, 0.04346566199225495, 0.043078708007419836, 0.24047562459000307, 0.15731944556646618, 0.12396873978592228, -0.12636959497312097, 0.038570908889999145, 0.12992640883654696]
706.3605
Form factors in finite volume II:disconnected terms and finite temperature correlators
Continuing the investigation started in a previous work, we consider form factors of integrable quantum field theories in finite volume, extending our investigation to matrix elements with disconnected pieces. Numerical verification of our results is provided by truncated conformal space approach. Such matrix elements are important in computing finite temperature correlation functions, and we give a new method for generating a low temperature expansion, which we test for the one-point function up to third order.
hep-th cond-mat.other hep-lat
continuing the investigation started in a previous work we consider form factors of integrable quantum field theories in finite volume extending our investigation to matrix elements with disconnected pieces numerical verification of our results is provided by truncated conformal space approach such matrix elements are important in computing finite temperature correlation functions and we give a new method for generating a low temperature expansion which we test for the onepoint function up to third order
[['continuing', 'the', 'investigation', 'started', 'in', 'a', 'previous', 'work', 'we', 'consider', 'form', 'factors', 'of', 'integrable', 'quantum', 'field', 'theories', 'in', 'finite', 'volume', 'extending', 'our', 'investigation', 'to', 'matrix', 'elements', 'with', 'disconnected', 'pieces', 'numerical', 'verification', 'of', 'our', 'results', 'is', 'provided', 'by', 'truncated', 'conformal', 'space', 'approach', 'such', 'matrix', 'elements', 'are', 'important', 'in', 'computing', 'finite', 'temperature', 'correlation', 'functions', 'and', 'we', 'give', 'a', 'new', 'method', 'for', 'generating', 'a', 'low', 'temperature', 'expansion', 'which', 'we', 'test', 'for', 'the', 'onepoint', 'function', 'up', 'to', 'third', 'order']]
[-0.10184361986815929, 0.13063656110937397, -0.08943119943141938, 0.025195742916936676, -0.05451972525256375, -0.06903793623670935, 0.03342028617548446, 0.3528093895316124, -0.20713350595906377, -0.2268779953196645, 0.111184845288905, -0.27729030766834817, -0.1553981439396739, 0.1866309130191803, 0.00047419751062989236, 0.08872522603720427, 0.026358771240338683, 0.0002286481112241745, -0.1458431932143867, -0.2841594968767216, 0.3428621998677651, 0.025544428457506, 0.23782726342479388, 0.08435047638912996, 0.07980084185798964, -0.0012319466254363458, -0.07793639441331228, 0.039564314527669925, -0.14003764128312468, 0.13473269084468484, 0.27147842266907296, 0.10603826274474462, 0.26027101536591846, -0.40100544345875583, -0.20375477134560546, 0.07646378121183564, 0.11789861301581064, 0.1222907099671041, -0.08644680374690021, -0.24382230455676715, 0.10117541993968189, -0.20745115485042334, -0.1955368670883278, -0.13836869191999238, 0.006245117114546398, -0.02217018307497104, -0.29739942188064256, 0.04789741328296562, 0.05051651666561763, 0.06913882082949083, -0.03087072677289446, -0.12807598957791924, 0.09130443554371595, 0.13502258194610475, 0.021422401134235162, 0.05242551712940136, 0.0948584881859521, -0.08515372108668089, -0.08924365593663727, 0.329095560995241, -0.0792325782061865, -0.1808656395226717, 0.1475482822706302, -0.18960726887608567, -0.15585394939407707, 0.1012569568057855, 0.17796589405586322, 0.12032857339829206, -0.11419622888167699, 0.13503432681124347, -0.030919661497076353, 0.13833560237661005, 0.037524193953722716, -0.011903155582646529, 0.17564442962408067, 0.13374840935071308, 0.03935998946428299, 0.16754279563436283, 0.030210037939250468, -0.11524368149538834, -0.3514838525528709, -0.1928469029193123, -0.19025421030508974, 0.06598418408694366, -0.11665616100634603, -0.21675442916651566, 0.3998830687161535, 0.14563147278716013, 0.19364903659870228, 0.0746097023303931, 0.28522498247524103, 0.1424290789136042, 0.10054945449034373, 0.07224564652269085, 0.1412109484523535, 0.17580336433524887, 0.039409459405578676, -0.18274596825862924, -0.015431498102843761, 0.14725655475631355]
706.3606
Further progress in ion back-flow reduction with patterned gaseous hole-multipliers
A new idea on electrostatic deviation and capture of back-drifting avalanche-ions in cascaded gaseous hole-multipliers is presented. It involves a flipped reversed-bias Micro-Hole & Strip Plate (F-R-MHSP) element, the strips of which are facing the drift region of the multiplier. The ions, originating from successive multiplication stages, are efficiently deviated and captured by such electrode. Experimental results are provided comparing the ion-blocking capability of the F-R-MHSP to that of the reversed-bias Micro-Hole & Strip Plate (R-MHSP) and the Gas Electron Multiplier (GEM). Best ion-blocking results in cascaded hole-multipliers were reached with a detector having the F-R-MHSP as the first multiplication element. A three-element F-R-MHSP/GEM/MHSP cascaded multiplier operated in atmospheric-pressure Ar/CH4 (95/5), at total gain of ~10^{5}, yielded ion back-flow fractions of 3*10^{-4} and 1.5*10^{-4}, at drift fields of 0.5 and 0.2 kV/cm, respectively. We describe the F-R-MHSP concept and the relevance of the obtained ion back-flow fractions to various applications; further ideas are also discussed.
physics.ins-det physics.med-ph
a new idea on electrostatic deviation and capture of backdrifting avalancheions in cascaded gaseous holemultipliers is presented it involves a flipped reversedbias microhole strip plate frmhsp element the strips of which are facing the drift region of the multiplier the ions originating from successive multiplication stages are efficiently deviated and captured by such electrode experimental results are provided comparing the ionblocking capability of the frmhsp to that of the reversedbias microhole strip plate rmhsp and the gas electron multiplier gem best ionblocking results in cascaded holemultipliers were reached with a detector having the frmhsp as the first multiplication element a threeelement frmhspgemmhsp cascaded multiplier operated in atmosphericpressure arch4 955 at total gain of 105 yielded ion backflow fractions of 3104 and 15104 at drift fields of 05 and 02 kvcm respectively we describe the frmhsp concept and the relevance of the obtained ion backflow fractions to various applications further ideas are also discussed
[['a', 'new', 'idea', 'on', 'electrostatic', 'deviation', 'and', 'capture', 'of', 'backdrifting', 'avalancheions', 'in', 'cascaded', 'gaseous', 'holemultipliers', 'is', 'presented', 'it', 'involves', 'a', 'flipped', 'reversedbias', 'microhole', 'strip', 'plate', 'frmhsp', 'element', 'the', 'strips', 'of', 'which', 'are', 'facing', 'the', 'drift', 'region', 'of', 'the', 'multiplier', 'the', 'ions', 'originating', 'from', 'successive', 'multiplication', 'stages', 'are', 'efficiently', 'deviated', 'and', 'captured', 'by', 'such', 'electrode', 'experimental', 'results', 'are', 'provided', 'comparing', 'the', 'ionblocking', 'capability', 'of', 'the', 'frmhsp', 'to', 'that', 'of', 'the', 'reversedbias', 'microhole', 'strip', 'plate', 'rmhsp', 'and', 'the', 'gas', 'electron', 'multiplier', 'gem', 'best', 'ionblocking', 'results', 'in', 'cascaded', 'holemultipliers', 'were', 'reached', 'with', 'a', 'detector', 'having', 'the', 'frmhsp', 'as', 'the', 'first', 'multiplication', 'element', 'a', 'threeelement', 'frmhspgemmhsp', 'cascaded', 'multiplier', 'operated', 'in', 'atmosphericpressure', 'arch4', '955', 'at', 'total', 'gain', 'of', '105', 'yielded', 'ion', 'backflow', 'fractions', 'of', '3104', 'and', '15104', 'at', 'drift', 'fields', 'of', '05', 'and', '02', 'kvcm', 'respectively', 'we', 'describe', 'the', 'frmhsp', 'concept', 'and', 'the', 'relevance', 'of', 'the', 'obtained', 'ion', 'backflow', 'fractions', 'to', 'various', 'applications', 'further', 'ideas', 'are', 'also', 'discussed']]
[-0.07396585602775774, 0.14105289429901358, -0.008669446799017134, -0.005525820675546772, 0.013419163267628676, -0.15071146595640247, 0.009799676562412356, 0.36004504020370187, -0.21680753040412554, -0.2828949326079111, 0.10254032756946348, -0.2970118044784885, -0.01898883098160664, 0.23235888688723702, -0.047276637162423224, 0.05389148209142645, 0.047860869497922405, -0.04021925000841318, -0.09426302119272248, -0.2030250723632116, 0.2321759915901158, 0.07445519127990721, 0.2432987638147307, 0.05120975253343278, 0.14912730767106525, -0.0628234876547845, -0.036585223466652085, -0.0035859865839688145, -0.1066949117383195, 0.07758699048969413, 0.22625605797958973, 0.025661851440993498, 0.23184659150207326, -0.44021146318742205, -0.14014633181093095, -0.012646871209889016, 0.10728709244321348, 0.015123346895708063, -0.10584262887817383, -0.269840502851725, 0.08469470658776712, -0.19391504144232694, -0.11938818687015548, 0.026231481990662917, -0.013128137647579773, 0.05653294775204188, -0.2918385953522053, 0.04554185795825019, 0.06599045427774275, 0.05140055858587124, -0.026129933245175957, -0.18307135779359918, 0.012244324823112867, 0.060454255812579676, -0.018862831777913598, 0.029370732760677736, 0.2200529560396055, -0.07299315558150918, -0.07240550931254845, 0.3092513713402813, -0.06469366883504249, -0.15705337351842208, 0.2032078019577731, -0.19376049036172782, -0.022027433303431893, 0.19967952584467677, 0.13342660922417734, 0.06685305041178656, -0.13520506318329142, 0.04567821658011304, -0.007020097528425914, 0.15132938192304593, 0.13747536706370714, 0.010469278361851058, 0.18606000516538312, 0.18484203131920118, 0.020318983732104987, 0.12446078137026587, -0.18169331814314485, -0.05226589456758126, -0.30021572825942366, -0.1769023626808356, -0.1285204202875964, -0.016215646484245855, -0.03679389182971569, -0.12258525149180827, 0.39130436515650985, 0.10896852545972381, 0.15008536724335686, -0.03410364857789281, 0.2623735141915073, 0.08119631388785356, 0.09675093298005004, 0.017355393516976816, 0.2749222380435411, 0.17657624693511395, 0.1246582922069546, -0.20829131541263668, 0.02862224994911527, 0.08849437468761236]
706.3607
Boltzmann equation approach to transport in finite modular quantum systems
We investigate the transport behavior of finite modular quantum systems. Such systems have recently been analyzed by different methods. These approaches indicate diffusive behavior even and especially for finite systems. Inspired by these results we analyze analytically and numerically if and in which sense the dynamics of those systems are in agreement with an appropriate Boltzmann equation. We find that the transport behavior of a certain type of finite modular quantum systems may indeed be described in terms of a Boltzmann equation. However, the applicability of the Boltzmann equation appears to be rather limited to a very specific type of model.
cond-mat.stat-mech
we investigate the transport behavior of finite modular quantum systems such systems have recently been analyzed by different methods these approaches indicate diffusive behavior even and especially for finite systems inspired by these results we analyze analytically and numerically if and in which sense the dynamics of those systems are in agreement with an appropriate boltzmann equation we find that the transport behavior of a certain type of finite modular quantum systems may indeed be described in terms of a boltzmann equation however the applicability of the boltzmann equation appears to be rather limited to a very specific type of model
[['we', 'investigate', 'the', 'transport', 'behavior', 'of', 'finite', 'modular', 'quantum', 'systems', 'such', 'systems', 'have', 'recently', 'been', 'analyzed', 'by', 'different', 'methods', 'these', 'approaches', 'indicate', 'diffusive', 'behavior', 'even', 'and', 'especially', 'for', 'finite', 'systems', 'inspired', 'by', 'these', 'results', 'we', 'analyze', 'analytically', 'and', 'numerically', 'if', 'and', 'in', 'which', 'sense', 'the', 'dynamics', 'of', 'those', 'systems', 'are', 'in', 'agreement', 'with', 'an', 'appropriate', 'boltzmann', 'equation', 'we', 'find', 'that', 'the', 'transport', 'behavior', 'of', 'a', 'certain', 'type', 'of', 'finite', 'modular', 'quantum', 'systems', 'may', 'indeed', 'be', 'described', 'in', 'terms', 'of', 'a', 'boltzmann', 'equation', 'however', 'the', 'applicability', 'of', 'the', 'boltzmann', 'equation', 'appears', 'to', 'be', 'rather', 'limited', 'to', 'a', 'very', 'specific', 'type', 'of', 'model']]
[-0.13176312777075436, 0.11934960522993796, -0.12094676475234256, 0.08002097227859616, -0.03445992684037895, -0.16381761879374337, 0.0033540692558456766, 0.3285788985540961, -0.3062850293140895, -0.25691038870833593, 0.10438129132138657, -0.26099601338529904, -0.18179594463493565, 0.24585015725777806, -0.02132005709693721, 0.10262160455937137, 0.07108547826906168, 0.03513613550711681, -0.08357683823692917, -0.2494648085482935, 0.3536238755389937, 0.021395043947153015, 0.3000710127174412, 0.03943562485960008, 0.09445516082762491, -0.027623846624415405, 0.03242852115118415, 0.09880725955498396, -0.11972615920679498, 0.10534260394328301, 0.2483716601100151, 0.027019406145549204, 0.25601108944836526, -0.4482040764431995, -0.2875980640125304, 0.08870468766078132, 0.18434534261076904, 0.13875392235995335, -0.03407239882588977, -0.2441263146488697, 0.12080415515321316, -0.19276743178431055, -0.16021910790235294, -0.1284891474609653, 0.0012075570619453004, 0.08432339591384487, -0.20574532177225494, 0.09163844763384302, 0.05177342152628716, 0.05868967038367202, -0.08817433544185639, -0.08749330280311775, 0.034648901727603806, 0.09064000131709889, -0.006324421019544928, -0.06150899891566375, 0.05689930618915817, -0.18107705200920896, -0.11699592488204673, 0.41590591281246725, -0.0551667442121128, -0.23836057197929608, 0.23710050739089747, -0.1361031507022015, -0.10633029204581192, 0.07922597767988054, 0.14775297930406517, 0.14773459570473152, -0.1991843733715244, 0.1028344776409495, -0.024251039554872136, 0.11549098974112237, -0.0024360982599751194, 0.039652311034995655, 0.16879398921403185, 0.15211103328199374, -0.034691656513213376, 0.1168697999864079, -0.003712114518379221, -0.17955020678201966, -0.25207124243831575, -0.1359815283189758, -0.18493742599050597, 0.08107104917785318, -0.05055480242068856, -0.17081492828057693, 0.3503398984062052, 0.1676671487859296, 0.2060410988858283, 0.037544000519227495, 0.2069944265750375, 0.20908598204392312, 0.04107360722552432, 0.08379384923246827, 0.22384682141583284, 0.12117951111591393, 0.1061696117319683, -0.25693101513356265, 0.07018632809908157, 0.05487684349501782]
706.3608
Projective structures and projective bundles over compact Riemann surfaces
A projective structure on a compact Riemann surface X of genus g is given by an atlas with transition functions in PGL(2,C). Equivalently, a projective structure is given by a projective sl(2,C)-bundle over X equipped with a section s and a foliation F which is both transversal to the fibers and the section s. From this latter geometric bundle picture, we survey on classical problems and results on projective structures. We will give a complete description of projective (actually affine) structures on the torus with an explicit versal family of foliated bundle picture.
math.CA math.AG math.DG
a projective structure on a compact riemann surface x of genus g is given by an atlas with transition functions in pgl2c equivalently a projective structure is given by a projective sl2cbundle over x equipped with a section s and a foliation f which is both transversal to the fibers and the section s from this latter geometric bundle picture we survey on classical problems and results on projective structures we will give a complete description of projective actually affine structures on the torus with an explicit versal family of foliated bundle picture
[['a', 'projective', 'structure', 'on', 'a', 'compact', 'riemann', 'surface', 'x', 'of', 'genus', 'g', 'is', 'given', 'by', 'an', 'atlas', 'with', 'transition', 'functions', 'in', 'pgl2c', 'equivalently', 'a', 'projective', 'structure', 'is', 'given', 'by', 'a', 'projective', 'sl2cbundle', 'over', 'x', 'equipped', 'with', 'a', 'section', 's', 'and', 'a', 'foliation', 'f', 'which', 'is', 'both', 'transversal', 'to', 'the', 'fibers', 'and', 'the', 'section', 's', 'from', 'this', 'latter', 'geometric', 'bundle', 'picture', 'we', 'survey', 'on', 'classical', 'problems', 'and', 'results', 'on', 'projective', 'structures', 'we', 'will', 'give', 'a', 'complete', 'description', 'of', 'projective', 'actually', 'affine', 'structures', 'on', 'the', 'torus', 'with', 'an', 'explicit', 'versal', 'family', 'of', 'foliated', 'bundle', 'picture']]
[-0.21979090445877417, 0.04827203411063554, -0.09796425532144697, 0.023868038878350963, -0.10688660733158821, -0.12373402664620105, -0.008866454039335898, 0.3874406045626687, -0.26879956701304764, -0.19024016960200085, 0.07004380269158307, -0.24954942428587895, -0.13062694163628571, 0.23222239210229853, -0.12942995970218402, -0.009535535663852224, 0.06525549799477195, 0.09408427186755706, -0.14734698535935226, -0.265510373584339, 0.43011241701796005, -0.001726162174473638, 0.21701345759767876, 0.05151061078725869, 0.16281300645483576, 0.025011648125339136, 0.02728531245931821, 0.04353610136667672, -0.1812477119560556, 0.14989068900720906, 0.28520944289377204, 0.07172916188289452, 0.1266812329818292, -0.3813320117921609, -0.19122861562114532, 0.17148236294388366, 0.07098021330413125, -0.011659494516409366, 0.017565869751548314, -0.29320761962267367, 0.05898764654589088, -0.11254135231264746, -0.15881689997268436, -0.052938988462657384, 0.07900702540443846, -0.02326150673299866, -0.1740698690498349, -0.04945092971952956, 0.0904873644163751, 0.1438799778242474, -0.023967823367970792, -0.043699623996634844, -0.12581603187541274, -0.02509025069783725, -0.07428508146372421, 0.12941836602682166, 0.10385268308606971, -0.07545496557039492, -0.11581283690833041, 0.33964623553544265, -0.06991579714636116, -0.26812307297697535, 0.10479887537455754, -0.17532789037036506, -0.11096648632488011, 0.19845201943763127, 0.14649714541661998, 0.187435410243621, -0.00999346240955081, 0.18537414449320236, -0.11773852135545736, 0.1221152535315765, 0.05602512867999789, -0.06230126056091293, 0.18401438764893732, 0.15466553067697375, 0.10818634201448572, 0.09929912417631029, -0.029093772010958713, -0.03206611642330561, -0.44131729290213273, -0.2137019916275597, -0.09419266946370834, 0.23313477901620386, -0.08195787108627922, -0.18396335906025185, 0.39573753779025184, -0.05472998525352602, 0.2988631827478378, 0.07530364767064937, 0.2575533156455292, -0.0036918343925524664, 0.039356275694444776, 0.0385354485048953, 0.11214609430475242, 0.2317049877019599, -0.04347254422559079, -0.08630022302563504, -0.013429618096384018, 0.1918823653832078]
706.3609
Electron Spin Dynamics of the Superconductor CaC6 probed by ESR
Conduction Electron Spin Resonance (CESR) was measured on a thick slab of CaC6 in the normal and superconducting state. A surprising increase of the CESR intensity below Tc can not be explained by the theoretically predicted change in spin susceptibility. It is interpreted as a vortex enhanced increase of the effective skin depth. Non-linear microwave absorption measurements in the superconducting state describe CaC6 as an anisotropic BCS superconductor. The study of the spin dynamics in the superconducting state and the discovery of the vortex enhanced increase of the skin depth poses a challenge to theory to provide a comprehensive description of the observed phenomena. CESR data in the normal state characterize CaC6 as a three-dimensional (3D) metal. The analysis suggests that the scattering of conduction electrons is dominated by impurities and supports the description of superconductivity in the dirty limit.
cond-mat.supr-con
conduction electron spin resonance cesr was measured on a thick slab of cac6 in the normal and superconducting state a surprising increase of the cesr intensity below tc can not be explained by the theoretically predicted change in spin susceptibility it is interpreted as a vortex enhanced increase of the effective skin depth nonlinear microwave absorption measurements in the superconducting state describe cac6 as an anisotropic bcs superconductor the study of the spin dynamics in the superconducting state and the discovery of the vortex enhanced increase of the skin depth poses a challenge to theory to provide a comprehensive description of the observed phenomena cesr data in the normal state characterize cac6 as a threedimensional 3d metal the analysis suggests that the scattering of conduction electrons is dominated by impurities and supports the description of superconductivity in the dirty limit
[['conduction', 'electron', 'spin', 'resonance', 'cesr', 'was', 'measured', 'on', 'a', 'thick', 'slab', 'of', 'cac6', 'in', 'the', 'normal', 'and', 'superconducting', 'state', 'a', 'surprising', 'increase', 'of', 'the', 'cesr', 'intensity', 'below', 'tc', 'can', 'not', 'be', 'explained', 'by', 'the', 'theoretically', 'predicted', 'change', 'in', 'spin', 'susceptibility', 'it', 'is', 'interpreted', 'as', 'a', 'vortex', 'enhanced', 'increase', 'of', 'the', 'effective', 'skin', 'depth', 'nonlinear', 'microwave', 'absorption', 'measurements', 'in', 'the', 'superconducting', 'state', 'describe', 'cac6', 'as', 'an', 'anisotropic', 'bcs', 'superconductor', 'the', 'study', 'of', 'the', 'spin', 'dynamics', 'in', 'the', 'superconducting', 'state', 'and', 'the', 'discovery', 'of', 'the', 'vortex', 'enhanced', 'increase', 'of', 'the', 'skin', 'depth', 'poses', 'a', 'challenge', 'to', 'theory', 'to', 'provide', 'a', 'comprehensive', 'description', 'of', 'the', 'observed', 'phenomena', 'cesr', 'data', 'in', 'the', 'normal', 'state', 'characterize', 'cac6', 'as', 'a', 'threedimensional', '3d', 'metal', 'the', 'analysis', 'suggests', 'that', 'the', 'scattering', 'of', 'conduction', 'electrons', 'is', 'dominated', 'by', 'impurities', 'and', 'supports', 'the', 'description', 'of', 'superconductivity', 'in', 'the', 'dirty', 'limit']]
[-0.13156693755050322, 0.1959272232564607, -0.035391149343922734, 0.044669295145597844, -0.028547393773416325, -0.12491511852214379, 0.07949418092529023, 0.3160185937636665, -0.23766305026864368, -0.2858641046631549, 0.005081694771070034, -0.331993891431817, -0.07031695001226451, 0.19076357584313622, 0.023349158510765328, 0.02224857523771269, -0.02275758432224393, 0.002700047299939407, -0.10571519249351695, -0.1746352319090095, 0.2812675209749224, 0.04814701948281644, 0.3816063079617119, 0.10163723718557906, 0.03582607817120983, 0.0018243787776944893, 0.07121538376834775, 0.03999238106688219, -0.11922667795572904, 0.052237081115267106, 0.30356580790664467, -0.040105296302187655, 0.14265445156488568, -0.463769998042179, -0.24989502962811716, 0.0012234738961394345, 0.1445333613548428, 0.13618328713013658, -0.04534172342225377, -0.29196686267719735, 0.03304007770493626, -0.15481168865558825, -0.16444724755295154, -0.055109232564323714, -0.007527527093355145, -0.06081352246692404, -0.23678831236902625, 0.1092878454354442, 0.10149263489958164, 0.0910663024322795, -0.0896592502715066, -0.07063579787832817, -0.04415642434697864, 0.010448774193147464, 0.014689809532969125, 0.06516413003472345, 0.1732013078219357, -0.17324076690544774, -0.08892451044770756, 0.3228716042092336, -0.10318742809551103, -0.04616065858530679, 0.13164102875161915, -0.18305608024654377, 0.0073875388596206905, 0.18803462850462113, 0.13876799479309868, 0.05882993081385004, -0.1371600239071995, 0.05365757995626024, -0.07071020885570241, 0.1868897186193083, 0.024806450771367443, 0.06482707481232605, 0.25522838975968104, 0.26895631981398244, -0.005474019549520952, 0.15025423945792551, -0.1597752996836789, 0.0015840278871889625, -0.244757325975557, -0.18929535179798093, -0.21584880875057674, 0.05534954729217653, -0.014434319039095759, -0.191788911250686, 0.4083281829021871, 0.12604159387826389, 0.23045341955522808, -0.11530744935153052, 0.26135969204229437, 0.1334874390524679, 0.07444743877276778, 0.024277922780519084, 0.3099084148316511, 0.19762102232780307, 0.13966843492151904, -0.33983450998119746, 0.0966810452568877, -0.01765274559480271]
706.361
Magnetic friction in Ising spin systems
A new contribution to friction is predicted to occur in systems with magnetic correlations: Tangential relative motion of two Ising spin systems pumps energy into the magnetic degrees of freedom. This leads to a friction force proportional to the area of contact. The velocity and temperature dependence of this force are investigated. Magnetic friction is strongest near the critical temperature, below which the spin systems order spontaneously. Antiferromagnetic coupling leads to stronger friction than ferromagnetic coupling with the same exchange constant. The basic dissipation mechanism is explained. If the coupling of the spin system to the heat bath is weak, a surprising effect is observed in the ordered phase: The relative motion acts like a heat pump cooling the spins in the vicinity of the friction surface.
cond-mat.stat-mech cond-mat.other
a new contribution to friction is predicted to occur in systems with magnetic correlations tangential relative motion of two ising spin systems pumps energy into the magnetic degrees of freedom this leads to a friction force proportional to the area of contact the velocity and temperature dependence of this force are investigated magnetic friction is strongest near the critical temperature below which the spin systems order spontaneously antiferromagnetic coupling leads to stronger friction than ferromagnetic coupling with the same exchange constant the basic dissipation mechanism is explained if the coupling of the spin system to the heat bath is weak a surprising effect is observed in the ordered phase the relative motion acts like a heat pump cooling the spins in the vicinity of the friction surface
[['a', 'new', 'contribution', 'to', 'friction', 'is', 'predicted', 'to', 'occur', 'in', 'systems', 'with', 'magnetic', 'correlations', 'tangential', 'relative', 'motion', 'of', 'two', 'ising', 'spin', 'systems', 'pumps', 'energy', 'into', 'the', 'magnetic', 'degrees', 'of', 'freedom', 'this', 'leads', 'to', 'a', 'friction', 'force', 'proportional', 'to', 'the', 'area', 'of', 'contact', 'the', 'velocity', 'and', 'temperature', 'dependence', 'of', 'this', 'force', 'are', 'investigated', 'magnetic', 'friction', 'is', 'strongest', 'near', 'the', 'critical', 'temperature', 'below', 'which', 'the', 'spin', 'systems', 'order', 'spontaneously', 'antiferromagnetic', 'coupling', 'leads', 'to', 'stronger', 'friction', 'than', 'ferromagnetic', 'coupling', 'with', 'the', 'same', 'exchange', 'constant', 'the', 'basic', 'dissipation', 'mechanism', 'is', 'explained', 'if', 'the', 'coupling', 'of', 'the', 'spin', 'system', 'to', 'the', 'heat', 'bath', 'is', 'weak', 'a', 'surprising', 'effect', 'is', 'observed', 'in', 'the', 'ordered', 'phase', 'the', 'relative', 'motion', 'acts', 'like', 'a', 'heat', 'pump', 'cooling', 'the', 'spins', 'in', 'the', 'vicinity', 'of', 'the', 'friction', 'surface']]
[-0.2611081813000084, 0.254771550941303, -0.053588258661696406, 0.022483766613359466, -0.07815966772751545, -0.13893404974066836, 0.013874220390488782, 0.3222581350838575, -0.30358496542990676, -0.3095470627945826, -0.0027519100974497247, -0.30076202147046294, -0.06651820748399093, 0.181409650914899, 0.03914107925691238, -0.029487926483623625, -0.05603552950678144, 0.0726451800941805, -0.05298059155035207, -0.1708089189317928, 0.29610427695967706, 0.04169316288435788, 0.2715826422841413, 0.10699631358812174, 0.09509832634201904, -0.01623461321802942, 0.13038955732087393, 0.05156665382261469, -0.1366888904342736, 0.020332365296781063, 0.1351014633706998, -0.14269606679619298, 0.218311666269002, -0.40621701201907995, -0.21009322186183976, 0.07563613945486274, 0.09746506327293872, 0.14358406014145558, -0.015526450140123058, -0.2437146984803395, -0.04556811883986935, -0.14868408846705566, -0.14281891314926976, -0.06181961048658439, 0.036961753914998036, 0.015828927641543818, -0.27082932367920876, 0.17637127332433356, 0.1201489146503915, 0.06600393647489351, -0.09340373857870815, -0.062167593896733674, -0.09632826715297117, 0.10518509393748571, 0.09806208012764907, 0.07970322718051827, 0.2435762770290626, -0.14102220953273492, -0.06193184181241187, 0.37342916222245204, -0.07504662616312684, -0.15494249752304684, 0.21355007448431662, -0.19734663031555302, -0.044337136406950126, 0.19095612232807993, 0.16047477699434898, 0.06591734134841447, -0.16196513591209558, 0.01760738408953817, 0.05924143293124484, 0.180428687622404, 0.03703516315830153, 0.026978513803406375, 0.27819018118728805, 0.19261228453045284, 0.06856941431027463, 0.177571394757595, -0.11838131806424518, -0.12843394180481124, -0.2583339345370104, -0.15053341569246972, -0.2033001169210344, 0.06663213049127596, -0.09325858387043315, -0.1360452299732275, 0.3343838484532486, 0.1858774100267145, 0.16103878971643004, -0.023733840660397403, 0.30950123230435367, 0.14194991454934908, 0.11166019456307073, 0.06894577228772182, 0.32481470883743263, 0.2440428853650966, 0.12393293956910649, -0.33888315110867034, 0.06001686970666638, 0.024837101003023113]
706.3611
Magnetic and superfluid phases of confined fermions in two-dimensional optical lattices
We examine antiferromagnetic and d-wave superfluid phases of cold fermionic atoms with repulsive interactions in a two-dimensional optical lattice combined with a harmonic trapping potential. For experimentally realistic parameters, the trapping potential leads to the coexistence of magnetic and superfluid ordered phases with the normal phase. We study the intriguing shell structures arising from the competition between the magnetic and superfluid order as a function of the filling fraction. In certain cases antiferromagnetism induce superfluidity by charge redistributions. We furthermore demonstrate how these shell structures can be detected as distinct anti-bunching dips and pairing peaks in the density-density correlation function probed in expansion experiments.
cond-mat.str-el cond-mat.supr-con
we examine antiferromagnetic and dwave superfluid phases of cold fermionic atoms with repulsive interactions in a twodimensional optical lattice combined with a harmonic trapping potential for experimentally realistic parameters the trapping potential leads to the coexistence of magnetic and superfluid ordered phases with the normal phase we study the intriguing shell structures arising from the competition between the magnetic and superfluid order as a function of the filling fraction in certain cases antiferromagnetism induce superfluidity by charge redistributions we furthermore demonstrate how these shell structures can be detected as distinct antibunching dips and pairing peaks in the densitydensity correlation function probed in expansion experiments
[['we', 'examine', 'antiferromagnetic', 'and', 'dwave', 'superfluid', 'phases', 'of', 'cold', 'fermionic', 'atoms', 'with', 'repulsive', 'interactions', 'in', 'a', 'twodimensional', 'optical', 'lattice', 'combined', 'with', 'a', 'harmonic', 'trapping', 'potential', 'for', 'experimentally', 'realistic', 'parameters', 'the', 'trapping', 'potential', 'leads', 'to', 'the', 'coexistence', 'of', 'magnetic', 'and', 'superfluid', 'ordered', 'phases', 'with', 'the', 'normal', 'phase', 'we', 'study', 'the', 'intriguing', 'shell', 'structures', 'arising', 'from', 'the', 'competition', 'between', 'the', 'magnetic', 'and', 'superfluid', 'order', 'as', 'a', 'function', 'of', 'the', 'filling', 'fraction', 'in', 'certain', 'cases', 'antiferromagnetism', 'induce', 'superfluidity', 'by', 'charge', 'redistributions', 'we', 'furthermore', 'demonstrate', 'how', 'these', 'shell', 'structures', 'can', 'be', 'detected', 'as', 'distinct', 'antibunching', 'dips', 'and', 'pairing', 'peaks', 'in', 'the', 'densitydensity', 'correlation', 'function', 'probed', 'in', 'expansion', 'experiments']]
[-0.20067215531777877, 0.2791390457781605, -0.0543820617676829, 0.08432143848711768, -3.6769510748294683e-06, -0.13584456262805572, 0.08073836538376501, 0.39163840709863085, -0.2595212851436092, -0.25729877249026545, -0.0337657575459721, -0.3279138163376886, -0.14539507147856057, 0.10272414037563767, 0.12124329520604359, -0.013376060680737002, -0.04126724316022144, -0.055349438737791315, -0.13671687927741843, -0.21280370272087076, 0.32712583993382466, -0.03229101474817771, 0.26786654159569967, 0.11654583907399613, 0.007048449326808063, -0.017963134826949008, 0.11656502187431145, 0.03490821787844512, -0.15416589277223325, 0.0218015909463597, 0.2503777024282429, -0.07583825625792648, 0.1623026252785936, -0.46501480157558733, -0.2328569926858808, 0.10339999292045832, 0.17279371006700855, 0.14743099406209345, -0.07975802009996887, -0.3240881793720361, -0.06404595739933519, -0.20436982886614993, -0.1723112367824517, -0.1556548801331351, 0.004967356763350276, 0.0697828789058034, -0.24875751219224185, 0.17234297006507404, 0.042197244900028005, 0.0846031494752074, -0.11889669270637498, -0.06252682203194126, -0.045028255585258685, 0.04651940925619923, 0.02547819046258855, 0.04258699494619997, 0.12588456246409735, -0.16445633799737452, -0.09945222144765117, 0.3813630577821571, -0.08961217333405959, -0.08386996772605926, 0.19391198793891817, -0.20080555252794652, -0.027278773800040092, 0.15215950844307932, 0.13273133356303263, 0.013558331903858254, -0.058321527749425374, 0.023053657342993226, -0.023888872587122023, 0.17345150204626128, 0.06946234761226851, 0.08328503362673263, 0.30340946664532215, 0.17885997098010892, 0.01935779975274972, 0.20751468153880873, -0.1575342302944941, -0.09760553413070738, -0.25502956135628313, -0.1228195660872958, -0.20230976263813388, -0.006552580867299604, -0.06066662339043642, -0.17632681030171135, 0.401895639880632, 0.13137481985345054, 0.21495969399200895, -0.08661774336360395, 0.24467010739653444, 0.08550238916583251, 0.06689629375110738, -0.006459083721543161, 0.2557864958048762, 0.170741495076352, 0.06250168987921476, -0.3276980023969932, 0.014278116649410758, 0.029411935789259866]
706.3612
Chiral entanglement in triangular lattice models
We consider the low energy spectrum of spin-1/2 two-dimensional triangular lattice models subject to a ferromagnetic Heisenberg interaction and a three spin chiral interaction of variable strength. Initially, we consider quasi-one dimensional ladder systems of various geometries. Analytical results are derived that yield the behavior of the ground states, their energies and the transition points. The entanglement properties of the ground state of these models are examined and we find that the entanglement depends on the lattice geometry due to frustration effects. To this end, the chirality of a given quantum state is used as a witness of tripartite entanglement. Finally, the two dimensional model is investigated numerically by means of exact diagonalization and indications are presented that the low energy sector is a chiral spin liquid.
quant-ph cond-mat.str-el
we consider the low energy spectrum of spin12 twodimensional triangular lattice models subject to a ferromagnetic heisenberg interaction and a three spin chiral interaction of variable strength initially we consider quasione dimensional ladder systems of various geometries analytical results are derived that yield the behavior of the ground states their energies and the transition points the entanglement properties of the ground state of these models are examined and we find that the entanglement depends on the lattice geometry due to frustration effects to this end the chirality of a given quantum state is used as a witness of tripartite entanglement finally the two dimensional model is investigated numerically by means of exact diagonalization and indications are presented that the low energy sector is a chiral spin liquid
[['we', 'consider', 'the', 'low', 'energy', 'spectrum', 'of', 'spin12', 'twodimensional', 'triangular', 'lattice', 'models', 'subject', 'to', 'a', 'ferromagnetic', 'heisenberg', 'interaction', 'and', 'a', 'three', 'spin', 'chiral', 'interaction', 'of', 'variable', 'strength', 'initially', 'we', 'consider', 'quasione', 'dimensional', 'ladder', 'systems', 'of', 'various', 'geometries', 'analytical', 'results', 'are', 'derived', 'that', 'yield', 'the', 'behavior', 'of', 'the', 'ground', 'states', 'their', 'energies', 'and', 'the', 'transition', 'points', 'the', 'entanglement', 'properties', 'of', 'the', 'ground', 'state', 'of', 'these', 'models', 'are', 'examined', 'and', 'we', 'find', 'that', 'the', 'entanglement', 'depends', 'on', 'the', 'lattice', 'geometry', 'due', 'to', 'frustration', 'effects', 'to', 'this', 'end', 'the', 'chirality', 'of', 'a', 'given', 'quantum', 'state', 'is', 'used', 'as', 'a', 'witness', 'of', 'tripartite', 'entanglement', 'finally', 'the', 'two', 'dimensional', 'model', 'is', 'investigated', 'numerically', 'by', 'means', 'of', 'exact', 'diagonalization', 'and', 'indications', 'are', 'presented', 'that', 'the', 'low', 'energy', 'sector', 'is', 'a', 'chiral', 'spin', 'liquid']]
[-0.18939854232085626, 0.22603781416088226, -0.04406066207347188, 0.0718415677419123, -0.0054266372453568015, -0.15522144372963648, 0.01694059553996139, 0.37755423121330306, -0.21551160069593178, -0.2459415994111566, 0.08078170462335482, -0.30615789956581874, -0.11710695089317683, 0.13418468982384607, 0.08118429179230016, 0.06553995582883752, 0.02620292922819224, 0.056824956008592456, -0.10206160324948334, -0.219660801329012, 0.3441522007690757, 0.01850518883356282, 0.30354093826984563, 0.09668535769937238, 0.08491293700800578, 0.004269242345348118, 0.10129422226583394, 0.043300936730050546, -0.18292188541646304, 0.10499656951471092, 0.2066087104437078, -0.01010140340672586, 0.16433716849900606, -0.4236309109860665, -0.21138095435517745, 0.07278219655735463, 0.10516920810250023, 0.1876581410151415, -0.03700834568168264, -0.30277970465501464, -0.003109244970736776, -0.21943936480106566, -0.15942414744031125, -0.112364522555447, -0.02771874378237316, -0.0053141970596712555, -0.2369128610484126, 0.11251956833651157, 0.06222018555510701, 0.06739968411243102, -0.08022320595767907, -0.09749156700476534, -0.07657008334411324, 0.114021400176722, 0.023889068879854432, -0.027661857323530388, 0.09419395888634906, -0.15036679224230765, -0.15888254295513915, 0.375887485248528, -0.016853594177633553, -0.2006358295371096, 0.21913665700080534, -0.13343204621878255, -0.09062315600921445, 0.09458067999991375, 0.13423741712256915, 0.08911366011272734, -0.1283281449426523, 0.1005394983340942, -0.04571951329194772, 0.1707034521226544, -0.018045590409466367, 0.08010102588844699, 0.2288606783345811, 0.1307783664284846, 0.0393012823888988, 0.2199253880429837, -0.09920050094351465, -0.16390889027251268, -0.25755626033243584, -0.13854324298738466, -0.25624475043677675, 0.07153706283374565, -0.07638871063538791, -0.16299913701872656, 0.43458860952729783, 0.13737125061800717, 0.19555816744769536, -0.02336690489268737, 0.22946040792845365, 0.132145658061165, -0.003849538396970611, 0.03335602519718388, 0.26264316329043214, 0.17634032863397592, 0.051123720076756446, -0.28716408790778514, -0.007489465657386958, 0.07612598609127925]
706.3613
Optical and magneto-optical properties of ferromagnetic full-Heusler films: experiments and first-principles calculations
We report a joint theoretical and experimental study focused on understanding the optical and magneto-optical properties of Co-based full-Heusler compounds. We show that magneto-optical spectra calculated within ab-initio density functional theory are able to uniquely identify the features of the experimental spectra in terms of spin resolved electronic transitions. As expected for 3d-based magnets, we find that the largest Kerr rotation for these alloys is of the order of 0.3o in polar geometry. In addition, we demonstrate that (i) multilayered structures have to be carefully handled in the theoretical calculations in order to improve the agreement with experiments, and (ii) combined theoretical and experimental investigations constitute a powerful approach to designing new materials for magneto-optical and spin-related applications
cond-mat.mtrl-sci
we report a joint theoretical and experimental study focused on understanding the optical and magnetooptical properties of cobased fullheusler compounds we show that magnetooptical spectra calculated within abinitio density functional theory are able to uniquely identify the features of the experimental spectra in terms of spin resolved electronic transitions as expected for 3dbased magnets we find that the largest kerr rotation for these alloys is of the order of 03o in polar geometry in addition we demonstrate that i multilayered structures have to be carefully handled in the theoretical calculations in order to improve the agreement with experiments and ii combined theoretical and experimental investigations constitute a powerful approach to designing new materials for magnetooptical and spinrelated applications
[['we', 'report', 'a', 'joint', 'theoretical', 'and', 'experimental', 'study', 'focused', 'on', 'understanding', 'the', 'optical', 'and', 'magnetooptical', 'properties', 'of', 'cobased', 'fullheusler', 'compounds', 'we', 'show', 'that', 'magnetooptical', 'spectra', 'calculated', 'within', 'abinitio', 'density', 'functional', 'theory', 'are', 'able', 'to', 'uniquely', 'identify', 'the', 'features', 'of', 'the', 'experimental', 'spectra', 'in', 'terms', 'of', 'spin', 'resolved', 'electronic', 'transitions', 'as', 'expected', 'for', '3dbased', 'magnets', 'we', 'find', 'that', 'the', 'largest', 'kerr', 'rotation', 'for', 'these', 'alloys', 'is', 'of', 'the', 'order', 'of', '03o', 'in', 'polar', 'geometry', 'in', 'addition', 'we', 'demonstrate', 'that', 'i', 'multilayered', 'structures', 'have', 'to', 'be', 'carefully', 'handled', 'in', 'the', 'theoretical', 'calculations', 'in', 'order', 'to', 'improve', 'the', 'agreement', 'with', 'experiments', 'and', 'ii', 'combined', 'theoretical', 'and', 'experimental', 'investigations', 'constitute', 'a', 'powerful', 'approach', 'to', 'designing', 'new', 'materials', 'for', 'magnetooptical', 'and', 'spinrelated', 'applications']]
[-0.06757976829026968, 0.07936036915092146, -0.055775226859407404, 0.034225747704513816, -0.04806571469200238, -0.09381110813089852, 0.04464460526873216, 0.44302287049023276, -0.20839422110120875, -0.2982213499371783, 0.031554172572214156, -0.3151293956650958, -0.17082457624028546, 0.2377321014296208, 0.01918742934565486, 0.08147856350004046, 0.018927571220694394, -0.07455514121990083, -0.09676760176027867, -0.1823058491493812, 0.2623842029548171, 0.05349951629207264, 0.28861331862350137, 0.07155261446043092, 0.023418591302519633, -0.023971163454639205, 0.027402655099187108, 0.07363244536001298, -0.17988407508645482, 0.17052485806090187, 0.2871240475688572, 2.186749746107449e-05, 0.182498176300985, -0.4816603131071365, -0.23359611553684573, -0.008337571112028623, 0.12018154273835659, 0.14528583529626288, -0.11490356138911319, -0.26085043573846756, 0.10924793350099886, -0.12404968338166127, -0.11160801654194198, -0.21209105112889814, -0.009102332843783296, 0.03874666431831922, -0.2557062286512642, 0.041913996766305577, 0.029827127225255056, 0.09284392757072672, -0.13528483159350768, -0.1417994249209572, -0.004956026628645042, 0.07319177612978017, 0.004987380798842947, -0.0077674054852450046, 0.11596074874090599, -0.10114703200741719, -0.15319280720994635, 0.40866288798466577, -0.05741109002097431, -0.0910549064056348, 0.1477540119519552, -0.19946093552635383, -0.1541648873214815, 0.08201901306461354, 0.20247247067311683, 0.13469618032055009, -0.12657768485309967, 0.04197481373015207, -0.0330390657971108, 0.17368360580994857, -0.008106957876391836, 0.10036284078677901, 0.21486235387086616, 0.18941040080577387, -0.044503486969792366, 0.12877013858593211, -0.11943722418430498, -0.04826303536735349, -0.24236094487546864, -0.16254002368472265, -0.19062889547095144, 0.029618643453123712, -0.034481923762187006, -0.13293630780525884, 0.4129124325936881, 0.18830225957602942, 0.18738755131519194, -0.034290467144258444, 0.26896420537920324, 0.06377878239263891, 0.07438341223524284, -0.007091817217168666, 0.3163513171494449, 0.14525760088305353, 0.07768771918964083, -0.2729935131817109, 0.0672782921524308, -0.008884811302315507]