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708.2349 | Non-intersecting paths and Hahn orthogonal polynomial ensemble | We compute the bulk limit of the correlation functions for the uniform
measure on lozenge tilings of a hexagon. The limiting determinantal process is
a translation invariant extension of the discrete sine process, which also
describes the ergodic Gibbs measure of an appropriate slope.
| math.PR math-ph math.CO math.MP | we compute the bulk limit of the correlation functions for the uniform measure on lozenge tilings of a hexagon the limiting determinantal process is a translation invariant extension of the discrete sine process which also describes the ergodic gibbs measure of an appropriate slope | [['we', 'compute', 'the', 'bulk', 'limit', 'of', 'the', 'correlation', 'functions', 'for', 'the', 'uniform', 'measure', 'on', 'lozenge', 'tilings', 'of', 'a', 'hexagon', 'the', 'limiting', 'determinantal', 'process', 'is', 'a', 'translation', 'invariant', 'extension', 'of', 'the', 'discrete', 'sine', 'process', 'which', 'also', 'describes', 'the', 'ergodic', 'gibbs', 'measure', 'of', 'an', 'appropriate', 'slope']] | [-0.11110749366608533, 0.10982174326074362, -0.1414959206118841, 0.16661797055952443, -0.02400522217662497, -0.062325075205246154, 0.08069317489439114, 0.3591727384958755, -0.2964541924778711, -0.15261689662954517, 0.10108519060833548, -0.3012034183537418, -0.12892749641535126, 0.13790787468579682, -0.05926338245097378, 0.12363371149298143, -0.007318703605878082, 0.030452145157720555, -0.1263647813863248, -0.1625152213541283, 0.3231774413619529, 0.055731305344538254, 0.33797836202112114, 0.039205710742283954, 0.17134555581618438, 0.06948028142902661, -0.07219920287289741, -0.0659295114773241, -0.19782463515135038, 0.11510276567952876, 0.13184026008556513, 0.0392743025758219, 0.15489214305257934, -0.295413135741414, -0.15543915936723351, 0.15716962067579682, 0.13304537246850404, 0.007870237160452896, -0.0011325780095913533, -0.254061002114957, 0.02224274847487157, -0.14623180107975547, -0.19967962598258798, -0.06621850321111693, 0.0310294399228455, 0.0622405354145237, -0.2998806861102242, 0.05229240998199781, 0.17451366676356306, 0.09350533597171307, -0.02146071047437462, -0.0699171979742294, -0.00247248267987743, 0.10099756837801331, 0.03019338083554017, 0.05388738322389228, 0.149651561292227, -0.07206755254248326, -0.1408218284632312, 0.33672462428115646, -0.08594745272685858, -0.28939282906834374, 0.13418576558416878, -0.19163395644334907, -0.1954315579496324, 0.16295952978543937, 0.13021898685705804, 0.1036361733620817, -0.18974705681797455, 0.16881518345326185, -0.1289488572881303, 0.10688078552696177, 0.10933550887487152, -0.014400671236217022, 0.20296491521664642, 0.11151772660245611, 0.15496100671589375, 0.2690970685163682, -0.07494765558989126, -0.16761247961866585, -0.32903791341761296, -0.21037484163587744, -0.24651283759158105, 0.0974163658154959, -0.1760812089037658, -0.28318809091367503, 0.40269978827034886, 0.07102837460115552, 0.17199846448122777, 0.1350570873341481, 0.1817819129844958, 0.19961000242355195, 0.026949507104952565, 0.02137492134616795, 0.10297283267771656, 0.1568258887749504, 0.013935097292150285, -0.19570821888787163, 0.034697041894436224, 0.153712982269512] |
708.235 | Structure and clumping in the fast wind of NGC6543 | Far-UV spectroscopy from the FUSE satellite is analysed to uniquely probe
spatial structure and clumping in the fast wind of the central star of the
H-rich planetary nebula NGC6543 (HD164963). Time-series data of the unsaturated
PV 1118, 1128 resonance line P Cygni profiles provide a very sensitive
diagnostic of variable wind conditions in the outflow. We report on the
discovery of episodic and recurrent optical depth enhancements in the PV
absorption troughs, with some evidence for a 0.17-day modulation time-scale.
SEI line-synthesis modelling is used to derive physical properties, including
the optical depth evolution of individual `events'. The characteristics of
these features are essentially identical to the `discrete absorption
components' (DACs) commonly seen in the UV lines of massive OB stars. We have
also employed the unified model atmosphere code CMFGEN to explore spectroscopic
signatures of clumping, and report in particular on the clear sensitivity of
the PV lines to the clump volume filling factor. The results presented here
have implications for the downward revision of mass-loss rates in PN central
stars. We conclude that the temporal structures seen in the PV lines of NGC6543
likely have a physical origin that is similar to that operating in massive,
luminous stars, and may be related to near-surface perturbations caused by
stellar pulsation and/or magnetic fields.
| astro-ph | faruv spectroscopy from the fuse satellite is analysed to uniquely probe spatial structure and clumping in the fast wind of the central star of the hrich planetary nebula ngc6543 hd164963 timeseries data of the unsaturated pv 1118 1128 resonance line p cygni profiles provide a very sensitive diagnostic of variable wind conditions in the outflow we report on the discovery of episodic and recurrent optical depth enhancements in the pv absorption troughs with some evidence for a 017day modulation timescale sei linesynthesis modelling is used to derive physical properties including the optical depth evolution of individual events the characteristics of these features are essentially identical to the discrete absorption components dacs commonly seen in the uv lines of massive ob stars we have also employed the unified model atmosphere code cmfgen to explore spectroscopic signatures of clumping and report in particular on the clear sensitivity of the pv lines to the clump volume filling factor the results presented here have implications for the downward revision of massloss rates in pn central stars we conclude that the temporal structures seen in the pv lines of ngc6543 likely have a physical origin that is similar to that operating in massive luminous stars and may be related to nearsurface perturbations caused by stellar pulsation andor magnetic fields | [['faruv', 'spectroscopy', 'from', 'the', 'fuse', 'satellite', 'is', 'analysed', 'to', 'uniquely', 'probe', 'spatial', 'structure', 'and', 'clumping', 'in', 'the', 'fast', 'wind', 'of', 'the', 'central', 'star', 'of', 'the', 'hrich', 'planetary', 'nebula', 'ngc6543', 'hd164963', 'timeseries', 'data', 'of', 'the', 'unsaturated', 'pv', '1118', '1128', 'resonance', 'line', 'p', 'cygni', 'profiles', 'provide', 'a', 'very', 'sensitive', 'diagnostic', 'of', 'variable', 'wind', 'conditions', 'in', 'the', 'outflow', 'we', 'report', 'on', 'the', 'discovery', 'of', 'episodic', 'and', 'recurrent', 'optical', 'depth', 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708.2351 | Randomized algorithm for the k-server problem on decomposable spaces | We study the randomized k-server problem on metric spaces consisting of
widely separated subspaces. We give a method which extends existing algorithms
to larger spaces with the growth rate of the competitive quotients being at
most O(log k). This method yields o(k)-competitive algorithms solving the
randomized k-server problem, for some special underlying metric spaces, e.g.
HSTs of "small" height (but unbounded degree). HSTs are important tools for
probabilistic approximation of metric spaces.
| cs.DS cs.DM | we study the randomized kserver problem on metric spaces consisting of widely separated subspaces we give a method which extends existing algorithms to larger spaces with the growth rate of the competitive quotients being at most olog k this method yields okcompetitive algorithms solving the randomized kserver problem for some special underlying metric spaces eg hsts of small height but unbounded degree hsts are important tools for probabilistic approximation of metric spaces | [['we', 'study', 'the', 'randomized', 'kserver', 'problem', 'on', 'metric', 'spaces', 'consisting', 'of', 'widely', 'separated', 'subspaces', 'we', 'give', 'a', 'method', 'which', 'extends', 'existing', 'algorithms', 'to', 'larger', 'spaces', 'with', 'the', 'growth', 'rate', 'of', 'the', 'competitive', 'quotients', 'being', 'at', 'most', 'olog', 'k', 'this', 'method', 'yields', 'okcompetitive', 'algorithms', 'solving', 'the', 'randomized', 'kserver', 'problem', 'for', 'some', 'special', 'underlying', 'metric', 'spaces', 'eg', 'hsts', 'of', 'small', 'height', 'but', 'unbounded', 'degree', 'hsts', 'are', 'important', 'tools', 'for', 'probabilistic', 'approximation', 'of', 'metric', 'spaces']] | [-0.12628732701356876, 0.051346719320732315, -0.03660539445847693, 0.1373589001251647, -0.08927444964122604, -0.18648952609715116, 0.01034696785155946, 0.3945999445957722, -0.31275863603944565, -0.272966245359833, 0.13976033542200295, -0.23815973955993605, -0.15529173383043265, 0.2628535917159957, -0.11461179118446062, 0.07298580796661144, 0.06884465210507033, 0.02691334716870751, -0.09430249644653269, -0.35040211946454264, 0.3734334951765101, 0.02396111443481395, 0.2445927621718024, -0.0033634743771292796, 0.11181872612206449, 0.02671090282604728, -0.046992110515597055, 0.06503241722353957, -0.1796428709238453, 0.1649283382772717, 0.30428787550075687, 0.19752690699082656, 0.3278338764335068, -0.32478149182779686, -0.17199231999677042, 0.19677541496783074, 0.1445224112968377, 0.09069869821255004, -0.004164425061005627, -0.2726580613673153, 0.07658755461829649, -0.06888809126435326, -0.08239280696118802, -0.060826041886556735, -0.0049073551191200675, -0.0024890347808586353, -0.28897099039504226, 0.006767375329115861, 0.07491753532872601, 0.02366450811985513, -0.08484977060391134, -0.1771908801993434, 0.09717948869211783, 0.07295050100147935, -0.008263193438170661, 0.09798834990041042, 0.055187717726139326, -0.03218711917878876, -0.159034952078618, 0.355293421966719, -0.0404198267956225, -0.22310274676747724, 0.14985991232621837, -0.08235858288973989, -0.17387962053385628, 0.1314713300720618, 0.22060077899778394, 0.21671631531855484, -0.052279688890131425, 0.14836085081415276, -0.08132576910962522, 0.11954789876800136, 0.11349177854397977, 0.0874144024359928, 0.03197303965923862, 0.1979702131324251, 0.17428888523505187, 0.1499747356242487, 0.027284825374831408, -0.1167850963554909, -0.2287449545266343, -0.11442909130013325, -0.14352135409430508, 0.023929040072302163, -0.22821309966441822, -0.23096114559702471, 0.3142299955369721, 0.0773094157314479, 0.1671721591797828, 0.1499406601594184, 0.33459662362723286, 0.03530923839212513, 0.01320852951186014, 0.15135967635064268, 0.14502340782077944, 0.13810382842440422, 0.04790796570702863, -0.11797843292735936, 0.10314904622943469, 0.21419829864081152] |
708.2352 | Pulsar kicks by anisotropic neutrino emission from quark matter in
strong magnetic fields | We discuss a pulsar acceleration mechanism based on asymmetric neutrino
emission from the direct quark Urca process in the interior of proto neutron
stars. The anisotropy is caused by a strong magnetic field which polarises the
spin of the electrons opposite to the field direction. Due to parity violation
the neutrinos and anti-neutrinos leave the star in one direction accelerating
the pulsar. We calculate for varying quark chemical potentials the kick
velocity in dependence of the quark phase temperature and its radius. Ignoring
neutrino quark scattering we find that within a quark phase radius of 10 km and
temperatures larger than 5 MeV kick velocities of 1000km s$^{-1}$ can be
reached very easily. On the other hand taking into account the small neutrino
mean free paths it seems impossible to reach velocities higher than 100km
s$^{-1}$ even when including effects from colour superconductivity where the
neutrino quark interactions are suppressed.
| astro-ph nucl-th | we discuss a pulsar acceleration mechanism based on asymmetric neutrino emission from the direct quark urca process in the interior of proto neutron stars the anisotropy is caused by a strong magnetic field which polarises the spin of the electrons opposite to the field direction due to parity violation the neutrinos and antineutrinos leave the star in one direction accelerating the pulsar we calculate for varying quark chemical potentials the kick velocity in dependence of the quark phase temperature and its radius ignoring neutrino quark scattering we find that within a quark phase radius of 10 km and temperatures larger than 5 mev kick velocities of 1000km s1 can be reached very easily on the other hand taking into account the small neutrino mean free paths it seems impossible to reach velocities higher than 100km s1 even when including effects from colour superconductivity where the neutrino quark interactions are suppressed | [['we', 'discuss', 'a', 'pulsar', 'acceleration', 'mechanism', 'based', 'on', 'asymmetric', 'neutrino', 'emission', 'from', 'the', 'direct', 'quark', 'urca', 'process', 'in', 'the', 'interior', 'of', 'proto', 'neutron', 'stars', 'the', 'anisotropy', 'is', 'caused', 'by', 'a', 'strong', 'magnetic', 'field', 'which', 'polarises', 'the', 'spin', 'of', 'the', 'electrons', 'opposite', 'to', 'the', 'field', 'direction', 'due', 'to', 'parity', 'violation', 'the', 'neutrinos', 'and', 'antineutrinos', 'leave', 'the', 'star', 'in', 'one', 'direction', 'accelerating', 'the', 'pulsar', 'we', 'calculate', 'for', 'varying', 'quark', 'chemical', 'potentials', 'the', 'kick', 'velocity', 'in', 'dependence', 'of', 'the', 'quark', 'phase', 'temperature', 'and', 'its', 'radius', 'ignoring', 'neutrino', 'quark', 'scattering', 'we', 'find', 'that', 'within', 'a', 'quark', 'phase', 'radius', 'of', '10', 'km', 'and', 'temperatures', 'larger', 'than', '5', 'mev', 'kick', 'velocities', 'of', '1000km', 's1', 'can', 'be', 'reached', 'very', 'easily', 'on', 'the', 'other', 'hand', 'taking', 'into', 'account', 'the', 'small', 'neutrino', 'mean', 'free', 'paths', 'it', 'seems', 'impossible', 'to', 'reach', 'velocities', 'higher', 'than', '100km', 's1', 'even', 'when', 'including', 'effects', 'from', 'colour', 'superconductivity', 'where', 'the', 'neutrino', 'quark', 'interactions', 'are', 'suppressed']] | [-0.10036521957876782, 0.3195185221793751, -0.055493868595998114, 0.13859325115225754, -0.11392328675157236, -0.1053996743572255, 0.07580773447019358, 0.37276798017323015, -0.20274637827649714, -0.27996036830047766, 0.004197928993186603, -0.2715571527617673, 0.06350161494066318, 0.18636899864456305, 0.05113727147846172, -0.0651320510423587, 0.05907353861257434, 0.030360868611605838, -0.11382043931633234, -0.2075613841955783, 0.2875618895353303, 0.042981314226053655, 0.19512001721343647, 0.11785944959071154, 0.08517466489846508, -0.046234003799036145, 0.012055316362529994, -0.02167631742854913, -0.09254722513593151, -0.02146346848225221, 0.14087302751761552, 0.03298576644311348, 0.1319159695878625, -0.4220225136633962, -0.19660592034148675, 0.11464308195126553, 0.15572748509390902, 0.11603787327728544, -0.06391283600746343, -0.30356125556553404, 0.05468708380125463, -0.24150345113128424, -0.1810835564532317, 0.014938108674250543, 0.03167394305424144, -6.746208295226097e-05, -0.2542545816923181, 0.12691170941184585, 0.010800842533353717, 0.009376998255029322, -0.05640239782709008, -0.17952832590788603, -0.0417835690251862, 0.029533492931514048, 0.135691483298433, 0.0737181594222784, 0.1767579861264676, -0.15613778764692446, -0.04763677433754007, 0.4423280163202435, -0.07083528639224823, -0.09338810168827573, 0.13574953898942718, -0.24208954283657172, -0.06141840155236423, 0.17992887869477273, 0.16818154737663765, 0.09443172046293814, -0.15292117566694893, 0.029444958575768395, -0.0029823776598398885, 0.17363964007546503, 0.11746829157539954, 0.02774986462978025, 0.3249183489040782, 0.16058816506760196, 0.07473767329317828, 0.014799153065541758, -0.19997214299626648, -0.06397618088250359, -0.2734216497372836, -0.074860057560727, -0.12094135642672578, 0.08757957222405821, -0.15222381607813684, -0.10370888499543071, 0.3814729190703171, 0.16970413563773035, 0.18931653763478, -0.04334617084435498, 0.30366711823192116, 0.11412085232324898, 0.10045617640639345, 0.12881744327954947, 0.3266971397710343, 0.22661253586256255, 0.1324218544724863, -0.29990170947120837, 0.0609041193445834, 0.043795648080607257] |
708.2353 | Continuous and randomized defensive forecasting: unified view | Defensive forecasting is a method of transforming laws of probability (stated
in game-theoretic terms as strategies for Sceptic) into forecasting algorithms.
There are two known varieties of defensive forecasting: "continuous", in which
Sceptic's moves are assumed to depend on the forecasts in a (semi)continuous
manner and which produces deterministic forecasts, and "randomized", in which
the dependence of Sceptic's moves on the forecasts is arbitrary and
Forecaster's moves are allowed to be randomized. This note shows that the
randomized variety can be obtained from the continuous variety by smearing
Sceptic's moves to make them continuous.
| cs.LG | defensive forecasting is a method of transforming laws of probability stated in gametheoretic terms as strategies for sceptic into forecasting algorithms there are two known varieties of defensive forecasting continuous in which sceptics moves are assumed to depend on the forecasts in a semicontinuous manner and which produces deterministic forecasts and randomized in which the dependence of sceptics moves on the forecasts is arbitrary and forecasters moves are allowed to be randomized this note shows that the randomized variety can be obtained from the continuous variety by smearing sceptics moves to make them continuous | [['defensive', 'forecasting', 'is', 'a', 'method', 'of', 'transforming', 'laws', 'of', 'probability', 'stated', 'in', 'gametheoretic', 'terms', 'as', 'strategies', 'for', 'sceptic', 'into', 'forecasting', 'algorithms', 'there', 'are', 'two', 'known', 'varieties', 'of', 'defensive', 'forecasting', 'continuous', 'in', 'which', 'sceptics', 'moves', 'are', 'assumed', 'to', 'depend', 'on', 'the', 'forecasts', 'in', 'a', 'semicontinuous', 'manner', 'and', 'which', 'produces', 'deterministic', 'forecasts', 'and', 'randomized', 'in', 'which', 'the', 'dependence', 'of', 'sceptics', 'moves', 'on', 'the', 'forecasts', 'is', 'arbitrary', 'and', 'forecasters', 'moves', 'are', 'allowed', 'to', 'be', 'randomized', 'this', 'note', 'shows', 'that', 'the', 'randomized', 'variety', 'can', 'be', 'obtained', 'from', 'the', 'continuous', 'variety', 'by', 'smearing', 'sceptics', 'moves', 'to', 'make', 'them', 'continuous']] | [-0.06743880458909304, 0.14908131603349714, -0.13063166625896824, 0.09575113948023423, -0.07600754443952377, -0.17187098768153328, 0.10106966869430022, 0.40935721410874354, -0.24835956637608878, -0.2790253708991123, 0.12588982450518202, -0.23601966020353932, -0.11942771012260717, 0.2419206968092538, -0.1548707902907057, 0.030283229138226585, 0.03571895640739735, 0.023602347543582, -0.04071308141128418, -0.28173277465170843, 0.2625968870013318, 0.009265543367872213, 0.2671906336884391, -0.004235827245135257, 0.09883358521248273, -0.02120431596314178, -0.07896285384869886, 0.0586137909199448, -0.08953934665461272, 0.07350497912774061, 0.29037773551696794, 0.19910799899197956, 0.3201183561394189, -0.3913844336775389, -0.20120517861969928, 0.14766543274472885, 0.1058130794851248, 0.08073328731784676, 0.006706384870104809, -0.2846408316399902, 0.013513983841589156, -0.16675582470649736, -0.061491918846088005, -0.11890546016969737, 0.0023759891021441905, 0.07430557018898903, -0.3573122845288921, 0.016105467265352925, 0.05083080463388816, 0.03663111496419507, -0.04672516628287415, -0.10624856863448277, -0.04684353506866288, 0.14874602319979843, 0.06838724321804623, 0.059590102772803064, 0.13621924543614558, -0.07855921833617414, -0.14962274886350682, 0.3684776199862678, -0.0411490352992761, -0.19746893177185446, 0.16366655548955214, -0.08589886846714356, -0.16129499445966583, 0.1137313958594298, 0.18146775530631395, 0.10885256163260722, -0.10931132500000457, 0.0373836727645694, -0.05852426754489066, 0.09299322765226417, 0.0737383213597647, -0.04068823824042177, 0.16320497635751963, 0.12556758011750718, 0.17717695204625303, 0.10550794330118422, -0.03058029869057367, -0.15898092372461836, -0.2710227957589829, -0.09996342109119956, -0.14773460887025724, 0.047615939909790427, -0.08647473993605286, -0.2013829650476258, 0.3883439269848168, 0.18001618108989553, 0.15896324274387766, 0.11136534020795111, 0.32042276245006857, 0.13169056886405822, 0.003256638019167362, 0.1009285182077834, 0.1868685480489574, 0.02730881763830226, 0.0614519082307023, -0.11513366882857728, 0.1615504500594862, 0.09300697684050241] |
708.2354 | Local effective dynamics of quantum systems: A generalized approach to
work and heat | By computing the local energy expectation values with respect to some local
measurement basis we show that for any quantum system there are two
fundamentally different contributions: changes in energy that do not alter the
local von Neumann entropy and changes that do. We identify the former as work
and the latter as heat. Since our derivation makes no assumptions on the system
Hamiltonian or its state, the result is valid even for states arbitrarily far
from equilibrium. Examples are discussed ranging from the classical limit to
purely quantum mechanical scenarios, i.e. where the Hamiltonian and the density
operator do not commute.
| quant-ph cond-mat.stat-mech | by computing the local energy expectation values with respect to some local measurement basis we show that for any quantum system there are two fundamentally different contributions changes in energy that do not alter the local von neumann entropy and changes that do we identify the former as work and the latter as heat since our derivation makes no assumptions on the system hamiltonian or its state the result is valid even for states arbitrarily far from equilibrium examples are discussed ranging from the classical limit to purely quantum mechanical scenarios ie where the hamiltonian and the density operator do not commute | [['by', 'computing', 'the', 'local', 'energy', 'expectation', 'values', 'with', 'respect', 'to', 'some', 'local', 'measurement', 'basis', 'we', 'show', 'that', 'for', 'any', 'quantum', 'system', 'there', 'are', 'two', 'fundamentally', 'different', 'contributions', 'changes', 'in', 'energy', 'that', 'do', 'not', 'alter', 'the', 'local', 'von', 'neumann', 'entropy', 'and', 'changes', 'that', 'do', 'we', 'identify', 'the', 'former', 'as', 'work', 'and', 'the', 'latter', 'as', 'heat', 'since', 'our', 'derivation', 'makes', 'no', 'assumptions', 'on', 'the', 'system', 'hamiltonian', 'or', 'its', 'state', 'the', 'result', 'is', 'valid', 'even', 'for', 'states', 'arbitrarily', 'far', 'from', 'equilibrium', 'examples', 'are', 'discussed', 'ranging', 'from', 'the', 'classical', 'limit', 'to', 'purely', 'quantum', 'mechanical', 'scenarios', 'ie', 'where', 'the', 'hamiltonian', 'and', 'the', 'density', 'operator', 'do', 'not', 'commute']] | [-0.10286691501353155, 0.15608325681886545, -0.08162209052391642, 0.06803523270326539, -0.03381121084185354, -0.15624155247967472, 0.038058961274823645, 0.3279015349940963, -0.2707058810686017, -0.28041007815159436, 0.10778138988340895, -0.29652151396936355, -0.11502289455429669, 0.20931665695331736, -0.06056920356772311, 0.04456073609845571, 0.09025564556028329, 0.08464501211511008, -0.1017881916954602, -0.17467523733263507, 0.3544637711294105, 0.020120690284552527, 0.26650187585219814, 0.046593938132419306, 0.058402513331898, 0.0029898047328506617, 0.022745385263845615, 0.055704485332848976, -0.12370903843289924, 0.05691482260091089, 0.22579552077998719, 0.08924256646823064, 0.2389647491349309, -0.4673181356789142, -0.2098966647012561, 0.1658490771089918, 0.09947746247053146, 0.14507011305449494, 0.011825015039101024, -0.23360625754439218, 0.06460855861979664, -0.17125563260040008, -0.10961164890642405, -0.12488685446499172, 0.010634886557418927, 0.0003347941217761414, -0.24028926636274978, 0.1002016597400036, 0.11847887432211827, 0.0366803315267259, -0.0909595415418438, -0.10745344172670122, -0.047124763847986126, 0.1422084405557161, 0.021236725094472515, -0.005939170721046371, 0.1790245358886964, -0.11902076446373637, -0.09745759199209073, 0.36995711694380234, -0.032025371048161215, -0.22800200451256744, 0.23557634234734282, -0.13856831728937288, -0.11591105480842731, 0.06354712272592473, 0.06538256672302298, 0.08133963423389622, -0.1381016271097549, 0.12250918991619483, -0.013200054069588362, 0.1601954486458471, 0.03760557907962186, 0.10065209858151444, 0.15712643983573013, -0.010739728055127403, 0.11507687953017726, 0.07910076306000643, -0.01274416935127959, -0.185923857614398, -0.34192405685818955, -0.1433033120325383, -0.24127133661771522, 0.10213545130082981, -0.04100897264003174, -0.17931528110057116, 0.366938467457087, 0.17758766576526777, 0.20121108862918383, 0.06267784634952013, 0.27735919275266285, 0.15270537011868632, 0.04972966718852666, 0.10817210093213647, 0.28762003740748876, 0.08825241894159905, 0.09883094630112835, -0.22945649393231554, 0.08146011274234921, 0.03784997575441558] |
708.2355 | Three-dimensional solitons and vortices in dipolar Bose-Einstein
condensates | Three-dimensional solitary and vortex structures in Bose-Einstein condensates
are studied in the framework of Gross-Pitaevskii model including the
simultaneous action of local cubic-quintic nonlinearity and nonlocal
dipole-dipole interactions. Nonlocal interactions are shown to change
significantly the formation threshold and the numbers of atoms confined into
the coherent structures. An appearance of robust high-order ($m=2$)
three-dimensional vortices is revealed.
| nlin.PS | threedimensional solitary and vortex structures in boseeinstein condensates are studied in the framework of grosspitaevskii model including the simultaneous action of local cubicquintic nonlinearity and nonlocal dipoledipole interactions nonlocal interactions are shown to change significantly the formation threshold and the numbers of atoms confined into the coherent structures an appearance of robust highorder m2 threedimensional vortices is revealed | [['threedimensional', 'solitary', 'and', 'vortex', 'structures', 'in', 'boseeinstein', 'condensates', 'are', 'studied', 'in', 'the', 'framework', 'of', 'grosspitaevskii', 'model', 'including', 'the', 'simultaneous', 'action', 'of', 'local', 'cubicquintic', 'nonlinearity', 'and', 'nonlocal', 'dipoledipole', 'interactions', 'nonlocal', 'interactions', 'are', 'shown', 'to', 'change', 'significantly', 'the', 'formation', 'threshold', 'and', 'the', 'numbers', 'of', 'atoms', 'confined', 'into', 'the', 'coherent', 'structures', 'an', 'appearance', 'of', 'robust', 'highorder', 'm2', 'threedimensional', 'vortices', 'is', 'revealed']] | [-0.23112026052669912, 0.16777013026500032, -0.02830538042809982, 0.08835022977818253, -0.014765286657573849, -0.13059895106687627, -0.09349428504255825, 0.35856424156447936, -0.2502155091035469, -0.2542454785795818, -0.038680959031274866, -0.2639323402324627, -0.16210272260299274, 0.1254197431543585, 0.07609476780936379, 0.06147744744245348, 0.019457443328253155, -0.03435253037204002, -0.0035743188305661596, -0.21921032567002713, 0.34467088908021304, -0.0248052054004551, 0.3151084337351394, 0.06963845095516921, 0.05576847032804427, -0.03803574222798363, 0.03007512826247719, 0.023153589636986625, -0.13012739675569124, 0.08346203496230059, 0.15463419165462255, -0.05078783074312578, 0.21947997018437962, -0.5354363122184215, -0.2837196188047528, 0.06221773602060396, 0.19832528355292542, 0.19266461642812296, -0.012246561722412449, -0.40906167131495375, -0.0425500095147511, -0.12266737127933523, -0.15907367577390938, -0.13826389010224877, 0.06180415101798958, 0.10864219273408425, -0.31110535883184137, 0.1567240618771456, 0.10131428178734997, 0.04833763182677071, -0.12087169589057307, -0.00522414121198757, -0.07416022907348414, 0.019968314867081314, -0.03420452501600737, -0.022227048448383295, 0.07102201345922618, -0.22905850414174672, -0.10035366279119225, 0.42858958205786246, -0.06585534610624971, -0.16851531126905747, 0.20955124015695062, -0.14414192623747835, -0.004566534004848579, 0.2037878535720038, 0.18727464176682307, 0.12413715789945604, -0.0979268473235826, 0.03193728092371422, -0.03706841957594814, 0.17497452444814401, 0.10107660643627932, 0.06854571812336557, 0.23735548022749095, 0.21094777481630445, 0.02404936500985561, 0.1274397229968474, -0.09447274151547201, -0.19993529163686366, -0.24116312729291103, -0.07619429702453058, -0.14795016038938072, -0.014689540737388849, -0.0316999246406967, -0.15946775854812084, 0.3838620845445207, 0.07426796310806069, 0.1602139784869184, -0.07720065476565525, 0.23575587282438987, 0.10417262194999333, 0.06260831696623616, -0.008498685635176712, 0.2761794828713454, 0.2012536874811711, 0.058609745786364735, -0.3071460431393493, -0.07316045657779764, 0.0854730828954228] |
708.2356 | Abundant stable gauge field hair for black holes in anti-de Sitter space | We present new hairy black hole solutions of su(N) Einstein-Yang-Mills theory
(EYM) in asymptotically anti-de Sitter (adS) space. These black holes are
described by N+1 independent parameters, and have N-1 independent gauge field
degrees of freedom. Solutions in which all gauge field functions have no zeros
exist for all N, and for sufficiently large (and negative) cosmological
constant. At least some of these solutions are shown to be stable under
classical, linear, spherically symmetric perturbations. Therefore there is no
upper bound on the amount of stable gauge field hair with which a black hole in
adS can be endowed.
| gr-qc hep-th | we present new hairy black hole solutions of sun einsteinyangmills theory eym in asymptotically antide sitter ads space these black holes are described by n1 independent parameters and have n1 independent gauge field degrees of freedom solutions in which all gauge field functions have no zeros exist for all n and for sufficiently large and negative cosmological constant at least some of these solutions are shown to be stable under classical linear spherically symmetric perturbations therefore there is no upper bound on the amount of stable gauge field hair with which a black hole in ads can be endowed | [['we', 'present', 'new', 'hairy', 'black', 'hole', 'solutions', 'of', 'sun', 'einsteinyangmills', 'theory', 'eym', 'in', 'asymptotically', 'antide', 'sitter', 'ads', 'space', 'these', 'black', 'holes', 'are', 'described', 'by', 'n1', 'independent', 'parameters', 'and', 'have', 'n1', 'independent', 'gauge', 'field', 'degrees', 'of', 'freedom', 'solutions', 'in', 'which', 'all', 'gauge', 'field', 'functions', 'have', 'no', 'zeros', 'exist', 'for', 'all', 'n', 'and', 'for', 'sufficiently', 'large', 'and', 'negative', 'cosmological', 'constant', 'at', 'least', 'some', 'of', 'these', 'solutions', 'are', 'shown', 'to', 'be', 'stable', 'under', 'classical', 'linear', 'spherically', 'symmetric', 'perturbations', 'therefore', 'there', 'is', 'no', 'upper', 'bound', 'on', 'the', 'amount', 'of', 'stable', 'gauge', 'field', 'hair', 'with', 'which', 'a', 'black', 'hole', 'in', 'ads', 'can', 'be', 'endowed']] | [-0.20008689510715993, 0.22313579498329247, -0.044290397630920963, 0.11538469910532274, -0.08214283641427755, -0.20402247672712412, -0.03893361673949079, 0.31888095342149636, -0.08786043996988523, -0.2775464896394899, 0.15321614420408328, -0.30332010840489104, -0.12730757083339297, 0.13586374947970564, -0.031266610730778084, 0.04612900867982946, -0.022826587649607898, 0.08954380443225606, -0.06236632403475468, -0.3092841379758384, 0.37339337105684056, -0.0008355423177808824, 0.21191649422087153, -0.05310600961504429, 0.10805929685481871, -0.024980180628710623, 0.044707558978574743, 0.08471271727261172, -0.1776120837632628, 0.04518429015415034, 0.2675775140246101, 0.11991140458628775, 0.17148380683302278, -0.42733956498065684, -0.23772735702758185, 0.13149780423540358, 0.18747386688629936, 0.16858742975234758, -0.12524353450921485, -0.2504302481603291, 0.1404433571498352, -0.1793420649970872, -0.17737429262952634, -0.10608559668139377, 0.06988989011821986, -0.05871066974118502, -0.24615753652419745, 0.08232134098488122, 0.02383549283070471, -0.026774987675110818, -0.13290217085129985, -0.08863910028447557, -0.07997843894091519, 0.07119571783984399, 0.17677920145885737, 0.05132832981156881, 0.09976083676170822, -0.13269254482454723, -0.11587114448687344, 0.29785525982239935, -0.08695910179592443, -0.29228254995130076, 0.1669524826222297, -0.2266493099106645, -0.1222696563468851, 0.1424493129515663, 0.14667889603291345, 0.24626403091230778, -0.10138955949852714, 0.24726210610132318, -0.039264455804544865, 0.17536169007735683, 0.18816786860539156, 0.09915195409481348, 0.3727231091640965, 0.0032533093948255887, 0.09685647250106087, 0.11080188288899007, 0.0794054156268072, -0.144743208091405, -0.35884563572177985, -0.11884241118954231, -0.12698633451193495, 0.1314818462653255, -0.2366599023215428, -0.22788418063775148, 0.29358630051196677, 0.06546103035280895, 0.13655747905505275, 0.03763435525829067, 0.14534606352981885, 0.08073636780333038, 0.03915643225649767, 0.1652735317963166, 0.32549432909376025, 0.13051683384445356, 0.06261978534078508, -0.17770596743135647, -0.11618105789665321, 0.12421440418264029] |
708.2357 | Soliton and black hole solutions of su(N) Einstein-Yang-Mills theory in
anti-de Sitter space | We present new soliton and hairy black hole solutions of su(N)
Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. These
solutions are described by N+1 independent parameters, and have N-1 gauge field
degrees of freedom. We examine the space of solutions in detail for su(3) and
su(4) solitons and black holes. If the magnitude of the cosmological constant
is sufficiently large, we find solutions where all the gauge field functions
have no zeros. These solutions are of particular interest because we anticipate
that at least some of them will be linearly stable.
| gr-qc hep-th | we present new soliton and hairy black hole solutions of sun einsteinyangmills theory in asymptotically antide sitter space these solutions are described by n1 independent parameters and have n1 gauge field degrees of freedom we examine the space of solutions in detail for su3 and su4 solitons and black holes if the magnitude of the cosmological constant is sufficiently large we find solutions where all the gauge field functions have no zeros these solutions are of particular interest because we anticipate that at least some of them will be linearly stable | [['we', 'present', 'new', 'soliton', 'and', 'hairy', 'black', 'hole', 'solutions', 'of', 'sun', 'einsteinyangmills', 'theory', 'in', 'asymptotically', 'antide', 'sitter', 'space', 'these', 'solutions', 'are', 'described', 'by', 'n1', 'independent', 'parameters', 'and', 'have', 'n1', 'gauge', 'field', 'degrees', 'of', 'freedom', 'we', 'examine', 'the', 'space', 'of', 'solutions', 'in', 'detail', 'for', 'su3', 'and', 'su4', 'solitons', 'and', 'black', 'holes', 'if', 'the', 'magnitude', 'of', 'the', 'cosmological', 'constant', 'is', 'sufficiently', 'large', 'we', 'find', 'solutions', 'where', 'all', 'the', 'gauge', 'field', 'functions', 'have', 'no', 'zeros', 'these', 'solutions', 'are', 'of', 'particular', 'interest', 'because', 'we', 'anticipate', 'that', 'at', 'least', 'some', 'of', 'them', 'will', 'be', 'linearly', 'stable']] | [-0.18789234610560995, 0.1977256696855465, -0.04226518251915887, 0.11080916125230122, -0.0717996632229987, -0.14123489799817185, -0.03557780390774196, 0.3574087195364492, -0.124747216292135, -0.25616953657571595, 0.16053342875246737, -0.31342213750294934, -0.14319568989122963, 0.11565441964961752, -0.011240185054203312, 0.0339593886203327, 0.004102057209340753, 0.05256525326806765, -0.0754703170310317, -0.3188014945404215, 0.37938768766656683, -0.04407161860829117, 0.20402309154211493, -0.027666601275636273, 0.10768870344631128, -0.03632702752129062, 0.030497681845880146, 0.04509089084707999, -0.2168632227404377, 0.05599189697570362, 0.2624181806682967, 0.11014844393055402, 0.1896792473885548, -0.4318900541965287, -0.212347160799654, 0.12031530812485042, 0.21748463871919518, 0.18840940515664253, -0.08436716695899492, -0.2549226399163132, 0.11465204623271967, -0.1659456956926938, -0.2086973440715695, -0.13539804601632469, 0.05542249539304156, 0.007732229972524303, -0.20707150019198697, 0.059791954075610575, 0.00018753992536893257, -0.01812802909126321, -0.1066750683668223, -0.08888378546440176, -0.07258509108694372, 0.0659862473238628, 0.18594237302102476, 0.022815289287981422, 0.08368893919492161, -0.16686682495196442, -0.11613804354731526, 0.34542266102405367, -0.07178312157290978, -0.24385787014962063, 0.1684367467807913, -0.22002646291198638, -0.1310215603130368, 0.11248841306583567, 0.131320681485634, 0.22377876591469562, -0.09173597038242516, 0.21842014720251818, -0.03236375152450669, 0.1659690104834326, 0.13448837970557448, 0.09887765771018567, 0.3092694253978002, 0.06404990940047735, 0.0842773370843913, 0.10998052483358021, 0.016138947499432385, -0.12437295040197588, -0.3586030574413119, -0.13308250383924242, -0.11900087137025996, 0.09296883833799306, -0.2129050295660528, -0.15894948677825077, 0.37198761962149496, 0.10815184042855565, 0.14319739774749665, 0.020700695635341517, 0.1547534892479534, 0.10403409543457431, 0.018561466937311567, 0.13002318417612505, 0.33119457986386197, 0.11593114036380998, 0.06951808575336095, -0.19796431042090223, -0.13106805334829694, 0.1130268563577844] |
708.2358 | Buchsteiner loops | Buchsteiner loops are those which satisfy the identity $x\backslash (xy \cdot
z) = (y \cdot zx)/ x$. We show that a Buchsteiner loop modulo its nucleus is an
abelian group of exponent four, and construct an example where the factor
achieves this exponent.
| math.GR | buchsteiner loops are those which satisfy the identity xbackslash xy cdot z y cdot zx x we show that a buchsteiner loop modulo its nucleus is an abelian group of exponent four and construct an example where the factor achieves this exponent | [['buchsteiner', 'loops', 'are', 'those', 'which', 'satisfy', 'the', 'identity', 'xbackslash', 'xy', 'cdot', 'z', 'y', 'cdot', 'zx', 'x', 'we', 'show', 'that', 'a', 'buchsteiner', 'loop', 'modulo', 'its', 'nucleus', 'is', 'an', 'abelian', 'group', 'of', 'exponent', 'four', 'and', 'construct', 'an', 'example', 'where', 'the', 'factor', 'achieves', 'this', 'exponent']] | [-0.23501667557727723, 0.14324721370870802, -0.04550286741661174, 0.03670489570746819, -0.023435132004254098, -0.20042266629059755, 0.006272760242046345, 0.3957116197617281, -0.29065680282101747, -0.20102843251966296, 0.04061915546966096, -0.3343719800135919, -0.10174285859379563, 0.17032060625829867, -0.03530157865246847, -0.050389987972309994, -0.0637788135514018, 0.13008304077777125, -0.10307542761299937, -0.30536320920856225, 0.2778626685695989, -0.05322109485444214, 0.16540276115604988, -0.047784937243358444, 0.16338004369199985, -0.0414094292514381, 0.05480037232683528, -0.07089118260358061, -0.15130742369417152, 0.04791991033181105, 0.19258376962638327, 0.03483405812377376, 0.15730240874524629, -0.285703014227606, -0.1084198828431822, 0.17430287954353152, 0.1554113519045391, -0.09445375675568357, 0.0036144029526483444, -0.24559852582890362, 0.15129502880136853, -0.1960574220422478, -0.15146653280992592, -0.0493346463467571, 0.10132798530338775, -0.0386841230682053, -0.357217301836326, 0.05189790004598243, 0.10887809904913108, 0.0663530219545854, 0.04368726171586396, -0.175410579779141, -0.020290963307377837, 0.09190335660241544, 0.01843073650906306, 0.21411028856943762, 0.12453796534932085, -0.08926170936319977, -0.14017427405564203, 0.33722731923418386, -0.009250139418457235, -0.16733091923275165, 0.03934211442468777, -0.19575422192879377, -0.19157327116200967, 0.11466522834130696, 0.049318438794996054, 0.13648004617009843, -0.06300429305771277, 0.26501933660308297, -0.13611484075053817, 0.22815443628600665, 0.01690185279585421, 0.0001557413156011275, 0.040223278770489354, 0.05611746571958065, 0.0385748322698332, 0.1057298589009969, -0.020491948384525522, -0.008665293322077819, -0.36892377407777877, -0.20744586605135173, -0.0646148602467119, 0.18795530127716206, -0.16666629029004115, -0.11962030049679535, 0.2820603318867229, 0.0603031395224943, 0.22194419300094956, 0.09005041170166805, 0.15778005575495108, 0.11958009436992663, 0.010563634391430588, 0.1486066218487741, 0.08745694750299056, 0.11871985747434553, -0.05516504073776083, -0.1932130442333541, -0.01553958052370165, 0.19619858193965184] |
708.2359 | Fermionic fields in the pseudoparticle approach | The pseudoparticle approach is a numerical method to compute path integrals
without discretizing spacetime. The basic idea is to consider only those field
configurations, which can be represented as a linear superposition of a small
number of localized building blocks (pseudoparticles), and to replace the
functional integration by an integration over the pseudoparticle degrees of
freedom. In previous papers we have successfully applied the pseudoparticle
approach to SU(2) Yang-Mills theory. In this work we discuss the inclusion of
fermionic fields in the pseudoparticle approach. To test our method, we compute
the phase diagram of the 1+1-dimensional Gross-Neveu model in the large-N limit
as well as the chiral condensate in the crystal phase.
| hep-lat hep-ph hep-th | the pseudoparticle approach is a numerical method to compute path integrals without discretizing spacetime the basic idea is to consider only those field configurations which can be represented as a linear superposition of a small number of localized building blocks pseudoparticles and to replace the functional integration by an integration over the pseudoparticle degrees of freedom in previous papers we have successfully applied the pseudoparticle approach to su2 yangmills theory in this work we discuss the inclusion of fermionic fields in the pseudoparticle approach to test our method we compute the phase diagram of the 11dimensional grossneveu model in the largen limit as well as the chiral condensate in the crystal phase | [['the', 'pseudoparticle', 'approach', 'is', 'a', 'numerical', 'method', 'to', 'compute', 'path', 'integrals', 'without', 'discretizing', 'spacetime', 'the', 'basic', 'idea', 'is', 'to', 'consider', 'only', 'those', 'field', 'configurations', 'which', 'can', 'be', 'represented', 'as', 'a', 'linear', 'superposition', 'of', 'a', 'small', 'number', 'of', 'localized', 'building', 'blocks', 'pseudoparticles', 'and', 'to', 'replace', 'the', 'functional', 'integration', 'by', 'an', 'integration', 'over', 'the', 'pseudoparticle', 'degrees', 'of', 'freedom', 'in', 'previous', 'papers', 'we', 'have', 'successfully', 'applied', 'the', 'pseudoparticle', 'approach', 'to', 'su2', 'yangmills', 'theory', 'in', 'this', 'work', 'we', 'discuss', 'the', 'inclusion', 'of', 'fermionic', 'fields', 'in', 'the', 'pseudoparticle', 'approach', 'to', 'test', 'our', 'method', 'we', 'compute', 'the', 'phase', 'diagram', 'of', 'the', '11dimensional', 'grossneveu', 'model', 'in', 'the', 'largen', 'limit', 'as', 'well', 'as', 'the', 'chiral', 'condensate', 'in', 'the', 'crystal', 'phase']] | [-0.11584785837580316, 0.12865860005708132, -0.10618023017013911, 0.02662597895271444, -0.042008922601650865, -0.06777010737070148, 0.029264576220677036, 0.3274364606976243, -0.22146417298271054, -0.2968718178537009, 0.05036473929378969, -0.23747519481860632, -0.17874331065520113, 0.13246875803244101, -0.02450389414194173, 0.056963863574700166, -0.004927826862383101, 0.03244116346052449, -0.0858760127781092, -0.2557133066251741, 0.2971943177108187, -0.007892802731865751, 0.2702391230684173, 0.009190685660412003, 0.10259500094772582, 0.04002457763168162, -0.002071394651596035, 0.02896128808580605, -0.0884872711935064, 0.10982226647735972, 0.25216485705355546, 0.04771851574020859, 0.2258163071861158, -0.450625470099372, -0.2613238220468962, 0.0505083635549194, 0.1630316003762086, 0.19581815236571337, 0.025939567912636057, -0.28698485167530763, 0.04170426670004547, -0.21761869002200132, -0.20458436670430405, -0.1280549881381116, -0.04308289342588978, -0.02224504094920121, -0.24075375267836666, 0.054187865869607776, 0.01800953343990841, 0.024126725475070998, -0.045462357709246656, -0.0841088254674105, -0.019799322929299836, 0.09096435685725217, 0.04885273404111753, 0.06363474253365504, 0.12113029440349367, -0.13511250967816782, -0.13688740482237854, 0.3804734979223992, -0.09222526127060908, -0.248687271190907, 0.14931798244651873, -0.10249898990982079, -0.12145531777267544, 0.10079736738199634, 0.15742084420916008, 0.17016908124787733, -0.15623756881593312, 0.13939987492994987, -0.0452454728406987, 0.13246426717523718, 0.05914202021501426, 0.020294653247609467, 0.20071199274993237, 0.14846680486308678, 0.019423655169833052, 0.17029608837557525, -0.05052731781532722, -0.1815029361168854, -0.34458790011038737, -0.18260628554396266, -0.21836815322084085, 0.02172759478396204, -0.09339260018883319, -0.19483847947724695, 0.3906701572621906, 0.18150866123427736, 0.1597395200702262, 0.025348029815566924, 0.2701082531628864, 0.1500131136105795, 0.09124636982700654, 0.026319101548454325, 0.20710845487025967, 0.1834262230321266, 0.051219129264479434, -0.23800560704382537, -0.09723263151993576, 0.16030868980202026] |
708.236 | Can gravitational collapse sustain singularity-free trapped surfaces? | In singularity generating spacetimes both the out-going and in-going
expansions of null geodesic congruences $\theta ^{+}$ and $\theta ^{-}$ should
become increasingly negative without bound, inside the horizon. This behavior
leads to geodetic incompleteness which in turn predicts the existence of a
singularity. In this work we inquire on whether, in gravitational collapse,
spacetime can sustain singularity-free trapped surfaces, in the sense that such
a spacetime remains geodetically complete. As a test case, we consider a well
known solution of the Einstien Field Equations which is Schwarzschild-like at
large distances and consists of a fluid with a $p=-\rho $ equation of state
near $r=0$. By following both the expansion parameters $\theta ^{+}$ and
$\theta ^{-}$ across the horizon and into the black hole we find that both
$\theta ^{+}$ and $\theta ^{+}\theta ^{-}$ have turning points inside the
trapped region. Further, we find that deep inside the black hole there is a
region $0\leq r<r_{0}$ (that includes the black hole center) which is not
trapped. Thus the trapped region is bounded both from outside and inside. The
spacetime is geodetically complete, a result which violates a condition for
singularity formation. It is inferred that in general if gravitational collapse
were to proceed with a $p=-\rho $ fluid formation, the resulting black hole may
be singularity-free.
| gr-qc astro-ph hep-th | in singularity generating spacetimes both the outgoing and ingoing expansions of null geodesic congruences theta and theta should become increasingly negative without bound inside the horizon this behavior leads to geodetic incompleteness which in turn predicts the existence of a singularity in this work we inquire on whether in gravitational collapse spacetime can sustain singularityfree trapped surfaces in the sense that such a spacetime remains geodetically complete as a test case we consider a well known solution of the einstien field equations which is schwarzschildlike at large distances and consists of a fluid with a prho equation of state near r0 by following both the expansion parameters theta and theta across the horizon and into the black hole we find that both theta and theta theta have turning points inside the trapped region further we find that deep inside the black hole there is a region 0leq rr_0 that includes the black hole center which is not trapped thus the trapped region is bounded both from outside and inside the spacetime is geodetically complete a result which violates a condition for singularity formation it is inferred that in general if gravitational collapse were to proceed with a prho fluid formation the resulting black hole may be singularityfree | [['in', 'singularity', 'generating', 'spacetimes', 'both', 'the', 'outgoing', 'and', 'ingoing', 'expansions', 'of', 'null', 'geodesic', 'congruences', 'theta', 'and', 'theta', 'should', 'become', 'increasingly', 'negative', 'without', 'bound', 'inside', 'the', 'horizon', 'this', 'behavior', 'leads', 'to', 'geodetic', 'incompleteness', 'which', 'in', 'turn', 'predicts', 'the', 'existence', 'of', 'a', 'singularity', 'in', 'this', 'work', 'we', 'inquire', 'on', 'whether', 'in', 'gravitational', 'collapse', 'spacetime', 'can', 'sustain', 'singularityfree', 'trapped', 'surfaces', 'in', 'the', 'sense', 'that', 'such', 'a', 'spacetime', 'remains', 'geodetically', 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708.2361 | $G_2$ generating technique for minimal D=5 supergravity and black rings | A solution generating technique is developed for D=5 minimal supergravity
with two commuting Killing vectors based on the $G_2$ U-duality arising in the
reduction of the theory to three dimensions. The target space of the
corresponding 3-dimensional sigma-model is the coset $G_{2(2)}/(SL(2,R)\times
SL(2,R))$. Its isometries constitute the set of solution generating symmetries.
These include two electric and two magnetic Harrison transformations with the
corresponding two pairs of gauge transformations, three $SL(2,R) S$-duality
transformations, and the three gravitational scale, gauge and Ehlers
transformations (altogether 14). We construct a representation of the coset in
terms of $7\times 7$ matrices realizing the automorphisms of split octonions.
Generating a new solution amounts to transforming the coset matrices by
one-parametric subgroups of $G_{2(2)}$ and subsequently solving the dualization
equations. Using this formalism we derive a new charged black ring solution
with two independent parameters of rotation.
| hep-th gr-qc | a solution generating technique is developed for d5 minimal supergravity with two commuting killing vectors based on the g_2 uduality arising in the reduction of the theory to three dimensions the target space of the corresponding 3dimensional sigmamodel is the coset g_22sl2rtimes sl2r its isometries constitute the set of solution generating symmetries these include two electric and two magnetic harrison transformations with the corresponding two pairs of gauge transformations three sl2r sduality transformations and the three gravitational scale gauge and ehlers transformations altogether 14 we construct a representation of the coset in terms of 7times 7 matrices realizing the automorphisms of split octonions generating a new solution amounts to transforming the coset matrices by oneparametric subgroups of g_22 and subsequently solving the dualization equations using this formalism we derive a new charged black ring solution with two independent parameters of rotation | [['a', 'solution', 'generating', 'technique', 'is', 'developed', 'for', 'd5', 'minimal', 'supergravity', 'with', 'two', 'commuting', 'killing', 'vectors', 'based', 'on', 'the', 'g_2', 'uduality', 'arising', 'in', 'the', 'reduction', 'of', 'the', 'theory', 'to', 'three', 'dimensions', 'the', 'target', 'space', 'of', 'the', 'corresponding', '3dimensional', 'sigmamodel', 'is', 'the', 'coset', 'g_22sl2rtimes', 'sl2r', 'its', 'isometries', 'constitute', 'the', 'set', 'of', 'solution', 'generating', 'symmetries', 'these', 'include', 'two', 'electric', 'and', 'two', 'magnetic', 'harrison', 'transformations', 'with', 'the', 'corresponding', 'two', 'pairs', 'of', 'gauge', 'transformations', 'three', 'sl2r', 'sduality', 'transformations', 'and', 'the', 'three', 'gravitational', 'scale', 'gauge', 'and', 'ehlers', 'transformations', 'altogether', '14', 'we', 'construct', 'a', 'representation', 'of', 'the', 'coset', 'in', 'terms', 'of', '7times', '7', 'matrices', 'realizing', 'the', 'automorphisms', 'of', 'split', 'octonions', 'generating', 'a', 'new', 'solution', 'amounts', 'to', 'transforming', 'the', 'coset', 'matrices', 'by', 'oneparametric', 'subgroups', 'of', 'g_22', 'and', 'subsequently', 'solving', 'the', 'dualization', 'equations', 'using', 'this', 'formalism', 'we', 'derive', 'a', 'new', 'charged', 'black', 'ring', 'solution', 'with', 'two', 'independent', 'parameters', 'of', 'rotation']] | [-0.1765302346163951, 0.1484336896670705, -0.02728969547633372, 0.05065350489714018, -0.1172277937438471, -0.12262789905277668, -0.03690838331359947, 0.3076996490134732, -0.23343732294045283, -0.2789523598691779, 0.12882681711100485, -0.27621476858827876, -0.15402835430924167, 0.13347563380210375, -0.026791770592437567, 0.03607852289458103, -0.009976964478392537, 0.04401915219235927, -0.17371930677694739, -0.2834400745927759, 0.3688654691766921, -0.058466121040826255, 0.28773115159355844, -0.06642744555105026, 0.18466626610342704, -0.006915004953662766, -0.04771056180119726, -0.050573097515714205, -0.07392593472865773, 0.1541595287185083, 0.2202908510510671, 0.11336695744670681, 0.11109003597229153, -0.40072521958368046, -0.13079988501110637, 0.11811496734665376, 0.1518361865483383, 0.12305580777056674, -0.07203239033986147, -0.30331456342196844, 0.03135157492117468, -0.1766118693581604, -0.16034439203316175, -0.11150156237607729, 0.017849090092993798, -0.07736161619041723, -0.2679285234144182, 0.024177649573601308, 0.03956914733243274, 0.05695005177341877, -0.10945029562117915, -0.07698895401405567, -0.0830720781979435, 0.07372427712267278, 0.08225596443327236, 0.020430197970651036, 0.11092523342090929, -0.08899004622824913, -0.15985044116709143, 0.38452274611067844, -0.04125907458199835, -0.3103220400975106, 0.11088629491488508, -0.11581907850683582, -0.19703283357592496, 0.10571901681205483, 0.1148077338894314, 0.1605978162648777, -0.18191314473457582, 0.18143991789622035, -0.07448296965940374, 0.08093376897179673, 0.12424860061113294, -0.00016402504043587556, 0.18684384389285077, 0.07847062133232806, 0.03690883388775004, 0.1448652625962405, 0.008307450754792556, -0.07601123199536439, -0.3959941481048545, -0.154634250743887, -0.08563507093341215, 0.13029934244613486, -0.18393469149377262, -0.14790258647094592, 0.44762713855449504, 0.06826555346971021, 0.16311819750340062, 0.05222455249663363, 0.1565211668481773, 0.08946888405238922, 0.10688698829435711, 0.04267266388414494, 0.17790506809210102, 0.21073913399348074, -0.030446042468546763, -0.2276171129395036, -0.16989718232112308, 0.24006013158404976] |
708.2362 | WIMP Annihilation and Cooling of Neutron Stars | We study the effect of WIMP annihilation on the temperature of a neutron
star. We shall argue that the released energy due to WIMP annihilation inside
the neutron stars, might affect the temperature of stars older than 10 million
years, flattening out the temperature at $\sim 10^4$ K for a typical neutron
star.
| astro-ph | we study the effect of wimp annihilation on the temperature of a neutron star we shall argue that the released energy due to wimp annihilation inside the neutron stars might affect the temperature of stars older than 10 million years flattening out the temperature at sim 104 k for a typical neutron star | [['we', 'study', 'the', 'effect', 'of', 'wimp', 'annihilation', 'on', 'the', 'temperature', 'of', 'a', 'neutron', 'star', 'we', 'shall', 'argue', 'that', 'the', 'released', 'energy', 'due', 'to', 'wimp', 'annihilation', 'inside', 'the', 'neutron', 'stars', 'might', 'affect', 'the', 'temperature', 'of', 'stars', 'older', 'than', '10', 'million', 'years', 'flattening', 'out', 'the', 'temperature', 'at', 'sim', '104', 'k', 'for', 'a', 'typical', 'neutron', 'star']] | [-0.07110393760761, 0.2688247088764636, -0.07730249932281813, 0.13166150373389135, -0.10731036047328193, 0.029829760152354556, 0.11854802704644653, 0.3200513064017836, -0.1458033466676496, -0.36583750090509093, -0.029951555250247695, -0.36273822335983225, 0.08486242019483503, 0.2421295313902621, 0.01959635371140222, -0.07802169146191962, 0.07974313650025441, 0.12938622986230086, -0.12228827585712215, -0.2836190988024134, 0.31816548499155717, 0.09149875367095447, 0.14316871600612155, 0.07191013119552496, 0.030433156430932147, -0.0782207535219572, -0.03151535566123027, -0.09111509972058658, -0.19439364117990304, -0.02727659797858236, 0.21197834069717605, 0.10266629211991182, 0.15458987772745905, -0.4020636608859278, -0.23682552175420635, 0.1438235598176999, 0.1756947935330418, 0.03399436225025159, -0.09384466399535325, -0.24686784168951353, 0.10504998037380711, -0.26735504484682715, -0.14603905771630551, 0.031872357650361255, 0.07451913189494384, -0.034911377271988765, -0.19554632796712643, 0.14971577486611973, 0.03977021419460762, 0.028995630963933917, -0.11082779952404001, -0.1805650122147405, -0.0011546968060703773, -0.07772517315867655, 0.04856206149846878, 0.06296846498559527, 0.2838309008522697, -0.15047037743805153, 0.02107673813149614, 0.3804027593852776, -0.10788617453253432, 0.056733895312854145, 0.1837857231401118, -0.24553817918278137, -0.14259831904310663, 0.17418452373371934, 0.18319791796142762, 0.16740404184521088, -0.16181526009766561, -0.011752045098340736, 0.009053115416669621, 0.21679969971894092, 0.14367142769525637, 0.01498001535150732, 0.38737989150268853, 0.21759232460468445, 0.014794336385884375, 0.06888023735779636, -0.2595777842787288, -0.03259737575250977, -0.2514073571172666, -0.10450119354744565, -0.08180339311970011, 0.14130300269374307, -0.11032009271483095, -0.059178689582589664, 0.30174923586254976, 0.14053948093557134, 0.19949779438100895, -0.01972751375639214, 0.2756433942407932, 0.07935493075692991, 0.11642913491342147, 0.10942527557336637, 0.319165937883674, 0.19599428052469245, 0.14600720359363928, -0.29410928162693417, 0.032856671183528204, -0.06538360528999342] |
708.2363 | On a constructive characterization of a class of trees related to pairs
of disjoint matchings | For a graph consider the pairs of disjoint matchings which union contains as
many edges as possible, and define a parameter $\alpha$ which eqauls the
cardinality of the largest matching in those pairs. Also, define $\betta$ to be
the cardinality of a maximum matching of the graph.
We give a constructive characterization of trees which satisfy the
$\alpha$=$\betta$ equality. The proof of our main theorem is based on a new
decomposition algorithm obtained for trees.
| cs.DM | for a graph consider the pairs of disjoint matchings which union contains as many edges as possible and define a parameter alpha which eqauls the cardinality of the largest matching in those pairs also define betta to be the cardinality of a maximum matching of the graph we give a constructive characterization of trees which satisfy the alphabetta equality the proof of our main theorem is based on a new decomposition algorithm obtained for trees | [['for', 'a', 'graph', 'consider', 'the', 'pairs', 'of', 'disjoint', 'matchings', 'which', 'union', 'contains', 'as', 'many', 'edges', 'as', 'possible', 'and', 'define', 'a', 'parameter', 'alpha', 'which', 'eqauls', 'the', 'cardinality', 'of', 'the', 'largest', 'matching', 'in', 'those', 'pairs', 'also', 'define', 'betta', 'to', 'be', 'the', 'cardinality', 'of', 'a', 'maximum', 'matching', 'of', 'the', 'graph', 'we', 'give', 'a', 'constructive', 'characterization', 'of', 'trees', 'which', 'satisfy', 'the', 'alphabetta', 'equality', 'the', 'proof', 'of', 'our', 'main', 'theorem', 'is', 'based', 'on', 'a', 'new', 'decomposition', 'algorithm', 'obtained', 'for', 'trees']] | [-0.14586758733510155, 0.07450297500616042, -0.08711230158423112, 0.06865832657546876, -0.11162347736934276, -0.0902261521016592, 0.0896662196195493, 0.2661211639515137, -0.27283003410860285, -0.3085522123242486, 0.10048967354758706, -0.27618712674162976, -0.10415515607248431, 0.1785844954317563, -0.08149776616682337, -0.006963397842498611, 0.09709844845410896, 0.11705166346406283, 0.018449764251421932, -0.23518981485490445, 0.3387164371726039, -0.04597743689911823, 0.23635469392350275, 0.058049478083338636, 0.10504530877997614, 0.073411339657917, -0.0275331104608023, 0.07564803050856476, -0.20760044088102367, 0.13634466859894767, 0.25152022142779745, 0.2225890255928652, 0.22684986618896053, -0.3273461141355642, -0.12925491737814188, 0.1995382247020631, 0.10723794625325715, 0.055817436951544286, 0.011207441587243485, -0.2081404872723434, 0.13790505679885615, -0.10844573712818427, -0.06543476963798477, -0.0012690501003717518, 0.05380003220618588, 0.034778008416090925, -0.3183702175339607, -0.016406131710949647, 0.12194405391506136, 0.020594775517254253, 0.019495897218329856, -0.16862130087277252, -0.02976923653766615, 0.09332012747452684, -0.053030422172662225, 0.04526973519735804, 0.015340362369299752, -0.07290402283431158, -0.1860944820210746, 0.3746721079598551, -0.01776292206949159, -0.1544607534601149, 0.13454163628821708, -0.07992311367587257, -0.18731573749690839, 0.08827513765084417, 0.15299607431898787, 0.16108882078926448, -0.11552168315353051, 0.08200048244389234, -0.15626414478054806, 0.10651077466621382, 0.15472926672752182, 0.06567587087262575, 0.1566067167800175, 0.15497653690893967, 0.18259916593534362, 0.21132325237993252, 0.011643930127818699, 0.0034865257641211256, -0.32669854490724326, -0.15715223367083564, -0.22067172955785405, 0.007860279629287655, -0.18793932267457522, -0.28985552729604996, 0.4212496890495085, 0.11361508360387731, 0.23774621770908572, 0.13052827342292167, 0.26911767742481746, 0.08333203367321203, 0.05962526287137186, 0.09420167040462567, 0.1663775390128873, 0.17824603677153178, -0.06346380269180422, -0.12283586153811583, 0.05314755037886231, 0.18023797111228518] |
708.2364 | A spectroscopic search for non-radial pulsations in the delta Scuti star
gamma Bootis | High-resolution spectroscopic observations of the rapidly rotating delta
Scuti star gamma Bootis have been carried out on 2005, over 6 consecutive
nights, in order to search for line-profile variability. Time series,
consisting of flux measurements at each wavelength bin across the TiII 4571.917
A line profile as a function of time, have been Fourier analyzed. The results
confirm the early detection reported by Kennelly et al. (1992) of a dominant
periodic component at frequency 21.28 c/d in the observer's frame, probably due
to a high azimuthal order sectorial mode. Moreover, we found other
periodicities at 5.06 c/d, 12.09 c/d, probably present but not secure, and at
11.70 c/d and 18.09 c/d, uncertain. The latter frequency, if present, should be
identifiable as another high azimuthal order sectorial mode and three
additional terms, probably due to low-l modes, as proved by the analysis of the
first three moments of the line. Owing to the short time baseline and the
one-site temporal sampling we consider our results only preliminary but
encouraging for a more extensive multisite campaign. A refinement of the
atmospheric physical parameters of the star has been obtained from our
spectroscopic data and adopted for preliminary computations of evolutionary
models of gamma Bootis.
| astro-ph | highresolution spectroscopic observations of the rapidly rotating delta scuti star gamma bootis have been carried out on 2005 over 6 consecutive nights in order to search for lineprofile variability time series consisting of flux measurements at each wavelength bin across the tiii 4571917 a line profile as a function of time have been fourier analyzed the results confirm the early detection reported by kennelly et al 1992 of a dominant periodic component at frequency 2128 cd in the observers frame probably due to a high azimuthal order sectorial mode moreover we found other periodicities at 506 cd 1209 cd probably present but not secure and at 1170 cd and 1809 cd uncertain the latter frequency if present should be identifiable as another high azimuthal order sectorial mode and three additional terms probably due to lowl modes as proved by the analysis of the first three moments of the line owing to the short time baseline and the onesite temporal sampling we consider our results only preliminary but encouraging for a more extensive multisite campaign a refinement of the atmospheric physical parameters of the star has been obtained from our spectroscopic data and adopted for preliminary computations of evolutionary models of gamma bootis | [['highresolution', 'spectroscopic', 'observations', 'of', 'the', 'rapidly', 'rotating', 'delta', 'scuti', 'star', 'gamma', 'bootis', 'have', 'been', 'carried', 'out', 'on', '2005', 'over', '6', 'consecutive', 'nights', 'in', 'order', 'to', 'search', 'for', 'lineprofile', 'variability', 'time', 'series', 'consisting', 'of', 'flux', 'measurements', 'at', 'each', 'wavelength', 'bin', 'across', 'the', 'tiii', '4571917', 'a', 'line', 'profile', 'as', 'a', 'function', 'of', 'time', 'have', 'been', 'fourier', 'analyzed', 'the', 'results', 'confirm', 'the', 'early', 'detection', 'reported', 'by', 'kennelly', 'et', 'al', '1992', 'of', 'a', 'dominant', 'periodic', 'component', 'at', 'frequency', '2128', 'cd', 'in', 'the', 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708.2365 | Adaptive optics imaging and optical spectroscopy of a multiple merger in
a luminous infrared galaxy | (abridged) We present near-infrared (NIR) adaptive optics imaging obtained
with VLT/NACO and optical spectroscopy from the Southern African Large
Telescope (SALT) of a luminous infrared galaxy (LIRG) IRAS 19115-2124. These
data are combined with archival HST imaging and Spitzer imaging and
spectroscopy, allowing us to study this disturbed interacting/merging galaxy,
dubbed the Bird, in extraordinary detail. In particular, the data reveal a
triple system where the LIRG phenomenon is dominated by the smallest of the
components.
One nucleus is a regular barred spiral with significant rotation, while
another is highly disturbed with a surface brightness distribution intermediate
to that of disk and bulge systems, and hints of remaining arm/bar structure. We
derive dynamical masses in the range 3-7x10^10 M_solar for both. The third
component appears to be a 1-2x10^10 M_solar mass irregular galaxy. The total
system exhibits HII galaxy-like optical line ratios and strengths, and no
evidence for AGN activity is found from optical or mid-infrared data. The star
formation rate is estimated to be 190 M_solar/yr. We search for SNe, super star
clusters, and detect 100-300 km/s outflowing gas from the Bird. Overall, the
Bird shows kinematic, dynamical, and emission line properties typical for cool
ultra luminous IR galaxies. However, the interesting features setting it apart
for future studies are its triple merger nature, and the location of its star
formation peak - the strongest star formation does not come from the two major
K-band nuclei, but from the third irregular component. Aided by simulations, we
discuss scenarios where the irregular component is on its first high-speed
encounter with the more massive components.
| astro-ph | abridged we present nearinfrared nir adaptive optics imaging obtained with vltnaco and optical spectroscopy from the southern african large telescope salt of a luminous infrared galaxy lirg iras 191152124 these data are combined with archival hst imaging and spitzer imaging and spectroscopy allowing us to study this disturbed interactingmerging galaxy dubbed the bird in extraordinary detail in particular the data reveal a triple system where the lirg phenomenon is dominated by the smallest of the components one nucleus is a regular barred spiral with significant rotation while another is highly disturbed with a surface brightness distribution intermediate to that of disk and bulge systems and hints of remaining armbar structure we derive dynamical masses in the range 37x1010 m_solar for both the third component appears to be a 12x1010 m_solar mass irregular galaxy the total system exhibits hii galaxylike optical line ratios and strengths and no evidence for agn activity is found from optical or midinfrared data the star formation rate is estimated to be 190 m_solaryr we search for sne super star clusters and detect 100300 kms outflowing gas from the bird overall the bird shows kinematic dynamical and emission line properties typical for cool ultra luminous ir galaxies however the interesting features setting it apart for future studies are its triple merger nature and the location of its star formation peak the strongest star formation does not come from the two major kband nuclei but from the third irregular component aided by simulations we discuss scenarios where the irregular component is on its first highspeed encounter with the more massive components | [['abridged', 'we', 'present', 'nearinfrared', 'nir', 'adaptive', 'optics', 'imaging', 'obtained', 'with', 'vltnaco', 'and', 'optical', 'spectroscopy', 'from', 'the', 'southern', 'african', 'large', 'telescope', 'salt', 'of', 'a', 'luminous', 'infrared', 'galaxy', 'lirg', 'iras', '191152124', 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708.2366 | A Note On The Kadison-Singer Problem | Let H be a separable Hilbert space with a fixed orthonormal basis (e_n),
n>=1, and B(H) be the full von Neumann algebra of the bounded linear operators
T: H -> H. Identifying l^\infty = C(\beta N) with the diagonal operators, we
consider C(\beta N) as a subalgebra of B(H). For each t in \beta N, let
[\delta_t] be the set of the states of B(H) that extend the Dirac measure
\delta_t. Our main result shows that, for each t in \beta N, this set either
lies in a finite dimensional subspace of B(H)* or else it must contain a
homeomorphic copy of \beta N.
| math.OA | let h be a separable hilbert space with a fixed orthonormal basis e_n n1 and bh be the full von neumann algebra of the bounded linear operators t h h identifying linfty cbeta n with the diagonal operators we consider cbeta n as a subalgebra of bh for each t in beta n let delta_t be the set of the states of bh that extend the dirac measure delta_t our main result shows that for each t in beta n this set either lies in a finite dimensional subspace of bh or else it must contain a homeomorphic copy of beta n | [['let', 'h', 'be', 'a', 'separable', 'hilbert', 'space', 'with', 'a', 'fixed', 'orthonormal', 'basis', 'e_n', 'n1', 'and', 'bh', 'be', 'the', 'full', 'von', 'neumann', 'algebra', 'of', 'the', 'bounded', 'linear', 'operators', 't', 'h', 'h', 'identifying', 'linfty', 'cbeta', 'n', 'with', 'the', 'diagonal', 'operators', 'we', 'consider', 'cbeta', 'n', 'as', 'a', 'subalgebra', 'of', 'bh', 'for', 'each', 't', 'in', 'beta', 'n', 'let', 'delta_t', 'be', 'the', 'set', 'of', 'the', 'states', 'of', 'bh', 'that', 'extend', 'the', 'dirac', 'measure', 'delta_t', 'our', 'main', 'result', 'shows', 'that', 'for', 'each', 't', 'in', 'beta', 'n', 'this', 'set', 'either', 'lies', 'in', 'a', 'finite', 'dimensional', 'subspace', 'of', 'bh', 'or', 'else', 'it', 'must', 'contain', 'a', 'homeomorphic', 'copy', 'of', 'beta', 'n']] | [-0.14182621782974286, 0.1969186615052761, -0.012473731657818836, -0.00540632842788838, -0.03376079673705367, -0.2193790834223596, 0.026542223679522674, 0.30452320887022377, -0.2837407439034067, -0.15116372896248803, 0.10227304935916419, -0.32067717543310104, -0.005985190375141946, 0.13586651452351362, -0.041556839164638634, 0.006080207570145528, 0.07256047353696297, 0.1464057738490987, -0.09368848636764668, -0.250738674083122, 0.3454673342479795, -0.0645139841362834, 0.11272123246910233, -0.04783794909313906, 0.055433549010879636, 0.013644384583184385, 0.006803948998305143, 0.008132466553041584, -0.15880798454942552, 0.06162023320326162, 0.28312682032621667, 0.15360709695218533, 0.3024765151899819, -0.3347038116817381, -0.14956445800250068, 0.23017109773468739, 0.18148499881556512, -0.06021200429976863, 0.013463051364227546, -0.24387379578376353, 0.09599337772712768, -0.18141576311751909, -0.15474424176100715, -0.019798895818930046, 0.13304788655802316, -0.04300131075376389, -0.35953770289380177, 0.0485016319183998, 0.1319324656882707, 0.02273631899522882, -0.03479099515642898, -0.14396373866418122, -0.09922549344243153, 0.06161878046387916, -0.04848604786835209, 0.14086139407556722, 0.08580310219058804, -0.00403876777821935, -0.09085810955330803, 0.33674224021110694, -0.09117107094646723, -0.24685499488430865, 0.0848601102628106, -0.28916950729292107, -0.12454596502185963, 0.06926909124697833, 0.08570195387081042, 0.16353272394660642, -0.030625994618543807, 0.30248875005282555, -0.11365636610699927, 0.15372750344777517, 0.07648275486723173, 0.03691667485890873, 0.12596165469171955, 0.07090433936693943, 0.1382762953438157, 0.11026208255755003, 0.019505671745933154, 0.02658715685509949, -0.4091925994474806, -0.1962562999688089, -0.21013739791141786, 0.19471187756269, -0.1676521267621794, -0.20067241532253285, 0.31625371424061266, 0.029275793871527317, 0.2741191070983369, 0.07203573425866518, 0.161067899825581, 0.11636961474541035, 0.051766812839024866, 0.13300946858875892, 0.06378515030020009, 0.186807214921596, -0.013548357978317082, -0.2327233590733479, -0.0398058072371664, 0.19427108176451463] |
708.2367 | Objective and subjective time in anthropic reasoning | The original formulation of the (weak) anthropic principle was prompted by a
question about objective time at a macroscopic level, namely the age of the
universe when ``anthropic'' observers such as ourselves would be most likely to
emerge. Theoretical interpretation of what one observes requires the theory to
indicate what is expected, which will commonly depend on where, and
particularly when, the observation can be expected to occur. In response to the
question of where and when, the original version of the anthropic principle
proposed an {it a priori} probability weighting proportional to the number of
``anthropic'' observers present. The present discussion takes up the question
of the time unit characterising the biological clock controlling our subjective
internal time, using a revised alternative to a line of argument due to Press,
who postulated that animal size is limited by the brittleness of bone. On the
basis of a static support condition depending on the tensile strength of flesh
rather than bone, it is reasoned here that our size should be subject to a
limit inversely proportional to the terrestrial gravitation field g, which is
itself found to be proportional (with a factor given by the 5/2 power of the
fine structure constant) to the gravitational coupling constant.This provides
an animal size limit that will in all cases be of the order of a thousandth of
the maximum mountain height, which will itself be of the order of a thousandth
of the planetary radius. The upshot, via the (strong) anthropic principle, is
that the need for brains, and therefore planets, that are large in terms of
baryon number may be what explains the weakness of gravity relative to
electromagnetism.
| hep-th | the original formulation of the weak anthropic principle was prompted by a question about objective time at a macroscopic level namely the age of the universe when anthropic observers such as ourselves would be most likely to emerge theoretical interpretation of what one observes requires the theory to indicate what is expected which will commonly depend on where and particularly when the observation can be expected to occur in response to the question of where and when the original version of the anthropic principle proposed an it a priori probability weighting proportional to the number of anthropic observers present the present discussion takes up the question of the time unit characterising the biological clock controlling our subjective internal time using a revised alternative to a line of argument due to press who postulated that animal size is limited by the brittleness of bone on the basis of a static support condition depending on the tensile strength of flesh rather than bone it is reasoned here that our size should be subject to a limit inversely proportional to the terrestrial gravitation field g which is itself found to be proportional with a factor given by the 52 power of the fine structure constant to the gravitational coupling constantthis provides an animal size limit that will in all cases be of the order of a thousandth of the maximum mountain height which will itself be of the order of a thousandth of the planetary radius the upshot via the strong anthropic principle is that the need for brains and therefore planets that are large in terms of baryon number may be what explains the weakness of gravity relative to electromagnetism | [['the', 'original', 'formulation', 'of', 'the', 'weak', 'anthropic', 'principle', 'was', 'prompted', 'by', 'a', 'question', 'about', 'objective', 'time', 'at', 'a', 'macroscopic', 'level', 'namely', 'the', 'age', 'of', 'the', 'universe', 'when', 'anthropic', 'observers', 'such', 'as', 'ourselves', 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708.2368 | First Order Calculation of the Inclusive Cross Section pp to ZZ by
Graviton Exchange in Large Extra Dimensions | We calculate the inclusive cross section of double Z-boson production within
large extra dimensions at the Large Hadron Collider (LHC). Using perturbatively
quantized gravity in the ADD model we perform a first order calculation of the
graviton mediated contribution to the pp to ZZ cross section. At low energies
(e.g. Tevatron) this additional contribution is very small, making it virtually
unobservable, for a fundamental mass scale above 2500 GeV. At LHC energies
however, the calculation indicates that the ZZ-production rate within the ADD
model should differ significantly from the Standard Model if the new
fundamental mass scale would be below 15000 GeV. A comparison with the observed
production rate at the LHC might therefore provide direct hints on the number
and structure of the extra dimensions.
| hep-ph | we calculate the inclusive cross section of double zboson production within large extra dimensions at the large hadron collider lhc using perturbatively quantized gravity in the add model we perform a first order calculation of the graviton mediated contribution to the pp to zz cross section at low energies eg tevatron this additional contribution is very small making it virtually unobservable for a fundamental mass scale above 2500 gev at lhc energies however the calculation indicates that the zzproduction rate within the add model should differ significantly from the standard model if the new fundamental mass scale would be below 15000 gev a comparison with the observed production rate at the lhc might therefore provide direct hints on the number and structure of the extra dimensions | [['we', 'calculate', 'the', 'inclusive', 'cross', 'section', 'of', 'double', 'zboson', 'production', 'within', 'large', 'extra', 'dimensions', 'at', 'the', 'large', 'hadron', 'collider', 'lhc', 'using', 'perturbatively', 'quantized', 'gravity', 'in', 'the', 'add', 'model', 'we', 'perform', 'a', 'first', 'order', 'calculation', 'of', 'the', 'graviton', 'mediated', 'contribution', 'to', 'the', 'pp', 'to', 'zz', 'cross', 'section', 'at', 'low', 'energies', 'eg', 'tevatron', 'this', 'additional', 'contribution', 'is', 'very', 'small', 'making', 'it', 'virtually', 'unobservable', 'for', 'a', 'fundamental', 'mass', 'scale', 'above', '2500', 'gev', 'at', 'lhc', 'energies', 'however', 'the', 'calculation', 'indicates', 'that', 'the', 'zzproduction', 'rate', 'within', 'the', 'add', 'model', 'should', 'differ', 'significantly', 'from', 'the', 'standard', 'model', 'if', 'the', 'new', 'fundamental', 'mass', 'scale', 'would', 'be', 'below', '15000', 'gev', 'a', 'comparison', 'with', 'the', 'observed', 'production', 'rate', 'at', 'the', 'lhc', 'might', 'therefore', 'provide', 'direct', 'hints', 'on', 'the', 'number', 'and', 'structure', 'of', 'the', 'extra', 'dimensions']] | [-0.05714929498173296, 0.2276868704110384, -0.059316056061536074, 0.1505568077340722, -0.06393088480271399, -0.14593622501567005, 0.032350039763376116, 0.292472989058122, -0.2327967868670821, -0.33077781182527544, 0.008186505417339503, -0.32001179820299147, 0.02603813499212265, 0.17570752987451851, 0.08911857427284121, 0.0313172912131995, 0.1011518149068579, 0.04700099985511042, -0.024942935323342682, -0.24201780214719473, 0.2800341702103615, 0.14813962388783694, 0.2115961426347494, 0.16929999227821826, 0.0768316572085023, 0.02769184920983389, -0.042591255257837475, -0.04811858559399843, -0.12475714395038084, 0.08230679348111153, 0.22719058031775058, 0.026198077026754616, 0.1527574594486505, -0.35428415827453136, -0.11482881662622094, 0.11787234229594469, 0.13984153443237302, 0.12424918812885881, -0.046999138173647224, -0.21705423232913018, 0.14103781772498042, -0.25372738579660653, -0.13676570152491332, -0.02181305042654276, -0.02093180453032255, -0.1281227410333231, -0.2768644615621306, 0.10794946297490969, -0.07331273791566491, 0.021112190399318935, -0.018698186662048102, -0.18718898997455835, -0.07725914038158953, 0.026061907075345517, 0.10789279475156217, 0.0414500232078135, 0.18780678563565015, -0.1720726095866412, -0.14044471905287356, 0.37140211164951326, -0.0784092184137553, -0.13235606803745031, 0.20367523550242186, -0.23276195894926788, -0.16799909368902444, 0.18705977503210305, 0.24956733501702547, 0.06078648910857737, -0.170600775197614, 0.14272467149957083, 0.018833496645092963, 0.22591883690282702, 0.08990731525793672, 0.055569909785874186, 0.2397960168644786, 0.21785448691248893, 0.020373478204011915, 0.043461780018173156, -0.1421340149883181, -0.06672112555801868, -0.45896355433762076, -0.10204509222134948, -0.0709676810503006, 0.07489707402605564, -0.06895480132347438, -0.06948168924450875, 0.3365866137966514, 0.15630290135741234, 0.298387892074883, 0.04686614072136581, 0.33470280437171457, 0.12856607274338602, 0.13712116972287186, 0.06756177468819079, 0.3479782154932618, 0.10132402203977108, 0.1316743846554309, -0.1748475170377642, 0.025188052024692296, 0.046849487693980334] |
708.2369 | Testing for change points in time series models and limiting theorems
for NED sequences | This paper first establishes a strong law of large numbers and a strong
invariance principle for forward and backward sums of near-epoch dependent
sequences. Using these limiting theorems, we develop a general asymptotic
theory on the Wald test for change points in a general class of time series
models under the no change-point hypothesis. As an application, we verify our
assumptions for the long-memory fractional ARIMA model.
| math.ST stat.TH | this paper first establishes a strong law of large numbers and a strong invariance principle for forward and backward sums of nearepoch dependent sequences using these limiting theorems we develop a general asymptotic theory on the wald test for change points in a general class of time series models under the no changepoint hypothesis as an application we verify our assumptions for the longmemory fractional arima model | [['this', 'paper', 'first', 'establishes', 'a', 'strong', 'law', 'of', 'large', 'numbers', 'and', 'a', 'strong', 'invariance', 'principle', 'for', 'forward', 'and', 'backward', 'sums', 'of', 'nearepoch', 'dependent', 'sequences', 'using', 'these', 'limiting', 'theorems', 'we', 'develop', 'a', 'general', 'asymptotic', 'theory', 'on', 'the', 'wald', 'test', 'for', 'change', 'points', 'in', 'a', 'general', 'class', 'of', 'time', 'series', 'models', 'under', 'the', 'no', 'changepoint', 'hypothesis', 'as', 'an', 'application', 'we', 'verify', 'our', 'assumptions', 'for', 'the', 'longmemory', 'fractional', 'arima', 'model']] | [-0.11401939794504598, 0.02337124794500067, -0.143249389562589, 0.15252130804409675, -0.044171459757403206, -0.1334532232496387, 0.1044653477703235, 0.3143271591180741, -0.25170430888546935, -0.25288773380887153, 0.12349340003922081, -0.2104130720636293, -0.15281817726721403, 0.21691468318771404, -0.09049343259365701, 0.11689965803360344, 0.033462347717323246, -0.007382364158254506, -0.06025473787379799, -0.22472076453685538, 0.2955616528390726, 0.01562464968718366, 0.30556363142582016, 0.01501580711659183, 0.13823777829199585, 0.05400403244976899, -0.049462536905906095, 0.017876318655908108, -0.13237635328420508, 0.1017741977529072, 0.19199217637591873, 0.07608777388179702, 0.31968230345467136, -0.40998903428440664, -0.19697314094918877, 0.1261729263464239, 0.05437141326047591, 0.10218676432633578, -0.026418762870563835, -0.2785538398563417, 0.09778783599665361, -0.16273326059775567, -0.1636296840355933, -0.09413174782365338, 0.03160050861648659, 0.05624895401771611, -0.3469882321147832, 0.10998272071523008, 0.13838878241993152, 0.1056328131191766, -0.033240803941361495, -0.06794366969921585, 0.1004735148553528, 0.07409206124408338, 0.13984488715146626, -0.059435588627386446, 0.044991388041248075, -0.07318733260383023, -0.15401123038757203, 0.3177627000763123, -0.12495322764065783, -0.22301542297450463, 0.16668745536885377, -0.13248409246747841, -0.25470996934420137, 0.050570587829144587, 0.17978911935838301, 0.18788089545727307, -0.14999019374042305, 0.0862893075734349, -0.08360380026053137, 0.13296077791045405, 0.09039149443104641, -0.014175847937255653, 0.1797434763823038, 0.12596707787614927, 0.06465877286756216, 0.14069993743228157, -0.09802907200377267, -0.10739790569685066, -0.4217309466938474, -0.19962700309037273, -0.1711553083593721, 0.06508072720034354, -0.1621037296974274, -0.18625920666242712, 0.3656855240992423, 0.1451954928351872, 0.14539687140886462, 0.18507649279338545, 0.22225621520583308, 0.20052762989844405, -0.02647291616460225, 0.050441525376109936, 0.18274742489986456, 0.15817039768531252, 0.10617149089560357, -0.14545588822229139, 0.08490806380842826, 0.09478080749456118] |
708.237 | Observation of the 'head-tail' effect in nuclear recoils of low-energy
neutrons | Directional detection of dark matter can provide unambiguous observation of
dark matter interactions even in the presence of background. This article
presents an experimental method to measure the direction tag ("head-tail") of
the dark matter wind by detecting the scintillation light created by the
elastic nuclear recoils in the scattering of dark matter particles with the
detector material. The technique is demonstrated by tagging the direction of
the nuclear recoils created in the scattering of low-energy neutrons with CF4
in a low-pressure time-projection chamber that is developed by the DMTPC
collaboration. The measurement of the decreasing ionization rate along the
recoil trajectory provides the direction tag of the incoming neutrons, and
proves that the "head-tail" effect can be observed.
| physics.ins-det astro-ph hep-ex | directional detection of dark matter can provide unambiguous observation of dark matter interactions even in the presence of background this article presents an experimental method to measure the direction tag headtail of the dark matter wind by detecting the scintillation light created by the elastic nuclear recoils in the scattering of dark matter particles with the detector material the technique is demonstrated by tagging the direction of the nuclear recoils created in the scattering of lowenergy neutrons with cf4 in a lowpressure timeprojection chamber that is developed by the dmtpc collaboration the measurement of the decreasing ionization rate along the recoil trajectory provides the direction tag of the incoming neutrons and proves that the headtail effect can be observed | [['directional', 'detection', 'of', 'dark', 'matter', 'can', 'provide', 'unambiguous', 'observation', 'of', 'dark', 'matter', 'interactions', 'even', 'in', 'the', 'presence', 'of', 'background', 'this', 'article', 'presents', 'an', 'experimental', 'method', 'to', 'measure', 'the', 'direction', 'tag', 'headtail', 'of', 'the', 'dark', 'matter', 'wind', 'by', 'detecting', 'the', 'scintillation', 'light', 'created', 'by', 'the', 'elastic', 'nuclear', 'recoils', 'in', 'the', 'scattering', 'of', 'dark', 'matter', 'particles', 'with', 'the', 'detector', 'material', 'the', 'technique', 'is', 'demonstrated', 'by', 'tagging', 'the', 'direction', 'of', 'the', 'nuclear', 'recoils', 'created', 'in', 'the', 'scattering', 'of', 'lowenergy', 'neutrons', 'with', 'cf4', 'in', 'a', 'lowpressure', 'timeprojection', 'chamber', 'that', 'is', 'developed', 'by', 'the', 'dmtpc', 'collaboration', 'the', 'measurement', 'of', 'the', 'decreasing', 'ionization', 'rate', 'along', 'the', 'recoil', 'trajectory', 'provides', 'the', 'direction', 'tag', 'of', 'the', 'incoming', 'neutrons', 'and', 'proves', 'that', 'the', 'headtail', 'effect', 'can', 'be', 'observed']] | [-0.10479740861865904, 0.22843942380064663, -0.16155368567516776, 0.03680537771844469, -0.0372683111609531, -0.0720305645157497, -0.021722747067756513, 0.34558003261184495, -0.24457313058146535, -0.3769488137512773, -0.041210773479224756, -0.3147181142591128, 0.014328871771474095, 0.13138852004908777, 0.04047885522473322, 0.03565588519525002, 0.025557117747972494, 0.026009901941552397, -0.02482805139299075, -0.1784198914631074, 0.27900201413964365, 0.15667667443386646, 0.2787183783037398, 0.1018696866534306, 0.13671109079532012, 0.047573514325656006, -0.10156637846938327, -0.05885335276717273, -0.06728327449300119, 0.07776590055167801, 0.24511635172799104, 0.09865537298228905, 0.13404779359620034, -0.431049016593885, -0.21003023873106771, 0.12899146943564424, 0.14614209897440522, 0.08269004827412237, -0.19605888685352413, -0.3713049721051039, 0.03766871518416315, -0.2242439114058218, -0.1684383625328979, -0.01928364178517974, -0.04305931049430383, 0.04231774218443061, -0.19157654449281072, 0.10952651541594009, 0.013411871834556345, -0.05832760687428331, -0.06279803178578365, -0.09512605152617232, 0.0592352053553586, -0.0068489670236947155, 0.08930500422627861, 0.03380606512875617, 0.259598585135233, -0.2015105879576016, -0.08966819075241435, 0.4117874352324034, -0.09015134970966664, -0.13151343898288123, 0.14303456002918752, -0.1907787234483271, -0.0629508285548444, 0.22890822473569078, 0.1592964509095089, 0.07187422818872106, -0.17224214809453664, 0.04245799968064129, -0.04092006999784063, 0.19918063714975068, 0.08208701245784134, 0.00302546308571551, 0.2620465871134475, 0.2384986178871213, 0.0662248928272048, 0.08490567030522096, -0.21596694093872842, 0.03724375920479789, -0.30555790062884197, -0.17703621614843748, -0.15316616900327826, -0.03505364636021877, -0.025840658608294764, -0.08102449297341478, 0.38524195689614077, 0.07688003673390367, 0.14691204296135413, -0.08570275804176614, 0.3702685328967431, 0.03541666740442023, 0.019610237925970816, 0.005899184890200987, 0.3545667026661524, 0.14660008310755135, 0.11416840813897487, -0.3001044617590158, 0.09204671856313318, -0.0026042800036673785] |
708.2371 | Singularities of quadratic differentials and extremal Teichm\"{u}ller
mappings defined by Dehn twists | Let $S$ be a Riemann surface of type $(p,n)$ with $3p-3+n>0$. Let $\omega$ be
a pseudo-Anosov map of $S$ that is obtained from Dehn twists along two families
$\{A,B\}$ of simple closed geodesics that fill $S$. Then $\omega$ can be
realized as an extremal Teichm\"{u}ller mapping on a surface of type $(p,n)$
which is also denoted by $S$. Let $\phi$ be the corresponding holomorphic
quadratic differential on $S$. In this paper, we compare the locations of some
distinguished points on $S$ in the $\phi$-flat metric to their locations with
respect to the complete hyperbolic metric. More precisely, we show that all
possible non-puncture zeros of $\phi$ must stay away from all closures of once
punctured disk components of $S\backslash \{A, B\}$, and the closure of each
disk component of $S\backslash \{A, B\}$ contains at most one zero of $\phi$.
As a consequence of the result, we assert that the number of distinct zeros and
poles of $\phi$ is less than or equal to the number of components of
$S\backslash \{A, B\}$.
| math.CV math.GT | let s be a riemann surface of type pn with 3p3n0 let omega be a pseudoanosov map of s that is obtained from dehn twists along two families ab of simple closed geodesics that fill s then omega can be realized as an extremal teichmuller mapping on a surface of type pn which is also denoted by s let phi be the corresponding holomorphic quadratic differential on s in this paper we compare the locations of some distinguished points on s in the phiflat metric to their locations with respect to the complete hyperbolic metric more precisely we show that all possible nonpuncture zeros of phi must stay away from all closures of once punctured disk components of sbackslash a b and the closure of each disk component of sbackslash a b contains at most one zero of phi as a consequence of the result we assert that the number of distinct zeros and poles of phi is less than or equal to the number of components of sbackslash a b | [['let', 's', 'be', 'a', 'riemann', 'surface', 'of', 'type', 'pn', 'with', '3p3n0', 'let', 'omega', 'be', 'a', 'pseudoanosov', 'map', 'of', 's', 'that', 'is', 'obtained', 'from', 'dehn', 'twists', 'along', 'two', 'families', 'ab', 'of', 'simple', 'closed', 'geodesics', 'that', 'fill', 's', 'then', 'omega', 'can', 'be', 'realized', 'as', 'an', 'extremal', 'teichmuller', 'mapping', 'on', 'a', 'surface', 'of', 'type', 'pn', 'which', 'is', 'also', 'denoted', 'by', 's', 'let', 'phi', 'be', 'the', 'corresponding', 'holomorphic', 'quadratic', 'differential', 'on', 's', 'in', 'this', 'paper', 'we', 'compare', 'the', 'locations', 'of', 'some', 'distinguished', 'points', 'on', 's', 'in', 'the', 'phiflat', 'metric', 'to', 'their', 'locations', 'with', 'respect', 'to', 'the', 'complete', 'hyperbolic', 'metric', 'more', 'precisely', 'we', 'show', 'that', 'all', 'possible', 'nonpuncture', 'zeros', 'of', 'phi', 'must', 'stay', 'away', 'from', 'all', 'closures', 'of', 'once', 'punctured', 'disk', 'components', 'of', 'sbackslash', 'a', 'b', 'and', 'the', 'closure', 'of', 'each', 'disk', 'component', 'of', 'sbackslash', 'a', 'b', 'contains', 'at', 'most', 'one', 'zero', 'of', 'phi', 'as', 'a', 'consequence', 'of', 'the', 'result', 'we', 'assert', 'that', 'the', 'number', 'of', 'distinct', 'zeros', 'and', 'poles', 'of', 'phi', 'is', 'less', 'than', 'or', 'equal', 'to', 'the', 'number', 'of', 'components', 'of', 'sbackslash', 'a', 'b']] | [-0.19856830934337008, 0.11842821595244113, -0.08995345785903434, 0.00026309152183655115, -0.07275665926170491, -0.14392845592893927, 0.02793902430580818, 0.30887239329361665, -0.286223073476798, -0.22542509744172484, 0.06487242427599649, -0.32102595565707553, -0.10906493070485469, 0.22624902601542307, -0.06779009530631204, -0.03062548676236821, 0.0367173245148955, 0.12574738015176817, -0.10260921380835325, -0.2274628396068389, 0.35931902970021057, -0.06755993333735248, 0.10936608469291102, 0.022549904708284885, 0.05998153278293709, -0.04011754032624248, 0.014556940134969495, 0.04120216384347129, -0.1542012363991359, 0.11459286540602556, 0.22732277812402962, 0.10567338162911169, 0.21058758337000785, -0.384803741377601, -0.15731737609132238, 0.17579979356655495, 0.1436632822955116, -0.053117868994290586, 0.036160838244454464, -0.23813314563483887, 0.1686864535641646, -0.11718488194137103, -0.1711287465018575, -0.009810055420357025, 0.10334485743909941, 0.02624252082092599, -0.24345091251944678, -0.005053825966266838, 0.09324207872019283, 0.08434812796102571, -0.02158793383638286, -0.14055954574307958, -0.11229249871324837, 0.09491144845932944, 0.042849095650516186, 0.13371562237721046, 0.09701651861957673, -0.07476583873791415, -0.07015793360326261, 0.3626501051697969, -0.10200026095749525, -0.2345520090533509, 0.14849604172299483, -0.20496572289405213, -0.10359666645083399, 0.14377340908894048, 0.1421228335737916, 0.16657728085383064, -0.08188762433582313, 0.15232900548116526, -0.1010972763220447, 0.12066293970703901, 0.12701806367286259, -0.02646160590284992, 0.21519234912591942, 0.05927076877006108, 0.10757154009886671, 0.1350507578740473, -0.068630795062442, -2.3351109467468978e-05, -0.38503756935131694, -0.18668091834046036, -0.17178610680137008, 0.1279311605162331, -0.09100424232764497, -0.18098409834216173, 0.40053468170281986, 0.040032386244829035, 0.26608952739098596, 0.0738179734859538, 0.2295285926111752, 0.07924945352057139, 0.06605118298397256, 0.10442154407445785, 0.12438047224731279, 0.14785421118167938, -0.056901963430434646, -0.17440052057818753, 0.026249469272789566, 0.10003900273780648] |
708.2372 | Searching for a Pulsar in SN1987A | SN 1987A offered a unique opportunity to detect a pulsar at the very
beginning of its life and to study its early evolution. Despite many searches
at radio and optical wavelengths, no pulsar has yet been detected. Details of a
recent search using the Parkes radio telescope are given. Limits on the X-ray,
optical and radio luminosity of a point source at the centre of SN 1987A place
limits on the properties of a central neutron star. However, neither these nor
the pulsar limits preclude the presence of a relatively slowly rotating neutron
star (P >~ 100 ms) with a moderate surface dipole magnetic field in SN 1987A.
Galactic studies suggest that a significant fraction of pulsars are born with
parameters in this range. In view of this, continued searches for a pulsar in
SN 1987A are certainly justified.
| astro-ph | sn 1987a offered a unique opportunity to detect a pulsar at the very beginning of its life and to study its early evolution despite many searches at radio and optical wavelengths no pulsar has yet been detected details of a recent search using the parkes radio telescope are given limits on the xray optical and radio luminosity of a point source at the centre of sn 1987a place limits on the properties of a central neutron star however neither these nor the pulsar limits preclude the presence of a relatively slowly rotating neutron star p 100 ms with a moderate surface dipole magnetic field in sn 1987a galactic studies suggest that a significant fraction of pulsars are born with parameters in this range in view of this continued searches for a pulsar in sn 1987a are certainly justified | [['sn', '1987a', 'offered', 'a', 'unique', 'opportunity', 'to', 'detect', 'a', 'pulsar', 'at', 'the', 'very', 'beginning', 'of', 'its', 'life', 'and', 'to', 'study', 'its', 'early', 'evolution', 'despite', 'many', 'searches', 'at', 'radio', 'and', 'optical', 'wavelengths', 'no', 'pulsar', 'has', 'yet', 'been', 'detected', 'details', 'of', 'a', 'recent', 'search', 'using', 'the', 'parkes', 'radio', 'telescope', 'are', 'given', 'limits', 'on', 'the', 'xray', 'optical', 'and', 'radio', 'luminosity', 'of', 'a', 'point', 'source', 'at', 'the', 'centre', 'of', 'sn', '1987a', 'place', 'limits', 'on', 'the', 'properties', 'of', 'a', 'central', 'neutron', 'star', 'however', 'neither', 'these', 'nor', 'the', 'pulsar', 'limits', 'preclude', 'the', 'presence', 'of', 'a', 'relatively', 'slowly', 'rotating', 'neutron', 'star', 'p', '100', 'ms', 'with', 'a', 'moderate', 'surface', 'dipole', 'magnetic', 'field', 'in', 'sn', '1987a', 'galactic', 'studies', 'suggest', 'that', 'a', 'significant', 'fraction', 'of', 'pulsars', 'are', 'born', 'with', 'parameters', 'in', 'this', 'range', 'in', 'view', 'of', 'this', 'continued', 'searches', 'for', 'a', 'pulsar', 'in', 'sn', '1987a', 'are', 'certainly', 'justified']] | [-0.10809026133674839, 0.10373020593238913, -0.0697637311692444, 0.09445711866567802, -0.16185469477288966, -0.07859151404599012, 0.12259438115954939, 0.4211189591096363, -0.15574398899680356, -0.2958070665759885, 0.12499290316971357, -0.2816456631635842, -0.008827613057582166, 0.2696442087383374, 0.01920455870340052, -0.05785670512156777, 0.14885867517306536, -0.018444772910974596, -0.08177322583725218, -0.22268185264935406, 0.21309400197503198, 0.12133768826648864, 0.18103367492111158, 0.014940918699932703, 0.08421262737997956, -0.0921609586448935, -0.052696978939913104, -0.04913217694485101, -0.07253928651445439, 0.03428038810987188, 0.2406042028636928, 0.16064956673400718, 0.17441314035027788, -0.42174271135118563, -0.22953103458427865, 0.12403476512923405, 0.16481057175543104, 0.040792288002220616, -0.10478821712836245, -0.2841640788575877, 0.0864215153012175, -0.23689437631949567, -0.20907320112050715, 0.09345504431647883, 0.06966999437460891, 0.06392063247606042, -0.16291267980241042, 0.0336889778331354, 0.020807780416520393, 0.09191160304539338, -0.1106433973949659, -0.08869354195379908, 0.023158807941017323, 0.021418461181304378, 0.06167224070826626, 0.0793547137974478, 0.11086156490542319, -0.17257089094947214, -0.05632845686235721, 0.41748296369569027, -0.03234476562373448, 0.017449673997454236, 0.24791760597904416, -0.2822475952764406, -0.22007889738238917, 0.18643069488082445, 0.15107738629044237, 0.08125939735454386, -0.1762707273853754, 0.0631123579641217, -0.017361384527960225, 0.18717001632393332, 0.0711080068114983, 0.09970460933265343, 0.38647655748586723, 0.18309483214440095, 0.003777164288887592, 0.07446210014809301, -0.2702536969513133, 0.016701384676971298, -0.22725231588845127, -0.05577603150521864, -0.1680714885495009, 0.14559842678041288, -0.10963586206428548, -0.12840533687815786, 0.35427718552544823, 0.053667236025026745, 0.15419108502944742, 0.0003083399564459704, 0.27739333096837654, 0.08282745061897794, 0.07447878199467517, 0.0966113396714428, 0.38609919253993186, 0.1668875962411445, 0.16668182480456037, -0.21067969653539467, 0.08948569861325044, -0.03231815268636506] |
708.2373 | Accumulated prediction errors, information criteria and optimal
forecasting for autoregressive time series | The predictive capability of a modification of Rissanen's accumulated
prediction error (APE) criterion, APE$_{\delta_n}$, is investigated in
infinite-order autoregressive (AR($\infty$)) models. Instead of accumulating
squares of sequential prediction errors from the beginning, APE$_{\delta_n}$ is
obtained by summing these squared errors from stage $n\delta_n$, where $n$ is
the sample size and $1/n\leq \delta_n\leq 1-(1/n)$ may depend on $n$. Under
certain regularity conditions, an asymptotic expression is derived for the
mean-squared prediction error (MSPE) of an AR predictor with order determined
by APE$_{\delta_n}$. This expression shows that the prediction performance of
APE$_{\delta_n}$ can vary dramatically depending on the choice of $\delta_n$.
Another interesting finding is that when $\delta_n$ approaches 1 at a certain
rate, APE$_{\delta_n}$ can achieve asymptotic efficiency in most practical
situations. An asymptotic equivalence between APE$_{\delta_n}$ and an
information criterion with a suitable penalty term is also established from the
MSPE point of view. This offers new perspectives for understanding the
information and prediction-based model selection criteria. Finally, we provide
the first asymptotic efficiency result for the case when the underlying
AR($\infty$) model is allowed to degenerate to a finite autoregression.
| math.ST stat.TH | the predictive capability of a modification of rissanens accumulated prediction error ape criterion ape_delta_n is investigated in infiniteorder autoregressive arinfty models instead of accumulating squares of sequential prediction errors from the beginning ape_delta_n is obtained by summing these squared errors from stage ndelta_n where n is the sample size and 1nleq delta_nleq 11n may depend on n under certain regularity conditions an asymptotic expression is derived for the meansquared prediction error mspe of an ar predictor with order determined by ape_delta_n this expression shows that the prediction performance of ape_delta_n can vary dramatically depending on the choice of delta_n another interesting finding is that when delta_n approaches 1 at a certain rate ape_delta_n can achieve asymptotic efficiency in most practical situations an asymptotic equivalence between ape_delta_n and an information criterion with a suitable penalty term is also established from the mspe point of view this offers new perspectives for understanding the information and predictionbased model selection criteria finally we provide the first asymptotic efficiency result for the case when the underlying arinfty model is allowed to degenerate to a finite autoregression | [['the', 'predictive', 'capability', 'of', 'a', 'modification', 'of', 'rissanens', 'accumulated', 'prediction', 'error', 'ape', 'criterion', 'ape_delta_n', 'is', 'investigated', 'in', 'infiniteorder', 'autoregressive', 'arinfty', 'models', 'instead', 'of', 'accumulating', 'squares', 'of', 'sequential', 'prediction', 'errors', 'from', 'the', 'beginning', 'ape_delta_n', 'is', 'obtained', 'by', 'summing', 'these', 'squared', 'errors', 'from', 'stage', 'ndelta_n', 'where', 'n', 'is', 'the', 'sample', 'size', 'and', '1nleq', 'delta_nleq', '11n', 'may', 'depend', 'on', 'n', 'under', 'certain', 'regularity', 'conditions', 'an', 'asymptotic', 'expression', 'is', 'derived', 'for', 'the', 'meansquared', 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708.2374 | Universal observation of multiple order parameters in cuprate
superconductors | The temperature dependence of the London penetration depth \lambda was
measured for an untwined single crystal of YBa_2Cu_3O_{7-\delta} along the
three principal crystallographic directions (a, b, and c). Both in-plane
components (\lambda_a and \lambda_b) show an inflection point in their
temperature dependence which is absent in the component along the c-direction
(\lambda_c). The data provide convincing evidence that the in-plane
superconducting order parameter is a mixture of s+d-wave symmetry whereas it is
exclusively s-wave along the c-direction. In conjunction with previous results
it is concluded that coupled s+d-order parameters are universal and intrinsic
to cuprate superconductors.
| cond-mat.supr-con | the temperature dependence of the london penetration depth lambda was measured for an untwined single crystal of yba_2cu_3o_7delta along the three principal crystallographic directions a b and c both inplane components lambda_a and lambda_b show an inflection point in their temperature dependence which is absent in the component along the cdirection lambda_c the data provide convincing evidence that the inplane superconducting order parameter is a mixture of sdwave symmetry whereas it is exclusively swave along the cdirection in conjunction with previous results it is concluded that coupled sdorder parameters are universal and intrinsic to cuprate superconductors | [['the', 'temperature', 'dependence', 'of', 'the', 'london', 'penetration', 'depth', 'lambda', 'was', 'measured', 'for', 'an', 'untwined', 'single', 'crystal', 'of', 'yba_2cu_3o_7delta', 'along', 'the', 'three', 'principal', 'crystallographic', 'directions', 'a', 'b', 'and', 'c', 'both', 'inplane', 'components', 'lambda_a', 'and', 'lambda_b', 'show', 'an', 'inflection', 'point', 'in', 'their', 'temperature', 'dependence', 'which', 'is', 'absent', 'in', 'the', 'component', 'along', 'the', 'cdirection', 'lambda_c', 'the', 'data', 'provide', 'convincing', 'evidence', 'that', 'the', 'inplane', 'superconducting', 'order', 'parameter', 'is', 'a', 'mixture', 'of', 'sdwave', 'symmetry', 'whereas', 'it', 'is', 'exclusively', 'swave', 'along', 'the', 'cdirection', 'in', 'conjunction', 'with', 'previous', 'results', 'it', 'is', 'concluded', 'that', 'coupled', 'sdorder', 'parameters', 'are', 'universal', 'and', 'intrinsic', 'to', 'cuprate', 'superconductors']] | [-0.18878996516379745, 0.19484558049620357, -0.05250523024872738, -0.014038165669610842, -0.10782797189746449, -0.15236430041531615, 0.036299245223957805, 0.414081251100102, -0.24935907121509948, -0.22729884160117822, -0.005609761278313446, -0.3645253833383322, -0.025478657146796903, 0.16897972533974717, 0.09044995100455398, 0.020857164299392952, -0.05441261352872119, 0.039682357985974644, -0.07102615321352285, -0.21385849328176615, 0.2925999369769496, 0.006111335752412994, 0.3914615201684547, 0.07271819878270493, 0.032313121791106666, -0.018528813976754852, 0.06683060889469182, 0.030910577892543787, -0.15951357181744397, 0.03667470017272206, 0.23907518941175906, -0.053028723195274456, 0.1447506061869059, -0.35114341253969583, -0.1790218804021703, 0.026920353855065842, 0.1663769058476975, 0.12090016438184861, 0.005101746929056467, -0.24687819599986394, 0.05914110689364532, -0.07437502025586969, -0.14995644144723785, -0.06922226364010985, 0.06038091969775393, -0.031214452556710928, -0.26729217662594895, 0.10167253899209677, 0.0762945655733347, 0.1574881574674014, -0.09441156832481477, -0.16706379427960974, -0.08233691152418032, 0.004207154428784518, 0.11160886487329101, 0.13227526788064775, 0.12991659549941764, -0.0969534424539814, -0.07565403330397416, 0.34145886260778346, -0.060769733206240184, -0.11494276917816952, 0.10148568363226157, -0.1229461756834582, -0.10838491573156987, 0.13574660893906146, 0.05513608520243694, 0.0362078608409997, -0.1239872203812875, 0.09856928235843797, -0.038559755356239275, 0.22125133479842568, 0.040168998014934836, 0.008725900133635769, 0.22829482646936433, 0.1593319373366304, 0.015623299996266413, 0.11286090659299627, -0.14309539341744273, -0.028027497449929408, -0.2974461341237134, -0.18613873194516736, -0.1542207120838476, -0.00799690790850907, -0.11655584121809683, -0.1812955815880064, 0.36603624905902954, 0.1384503498296947, 0.2641574220454439, -0.05315562308780809, 0.2684848616097836, 0.1052892804938428, 0.07827625199818013, 0.06162254118974855, 0.2569212372850706, 0.18300950682246464, 0.10415596533269483, -0.2972931086291321, 0.11200873407119132, -0.051606421631344775] |
708.2375 | Resummation and the semiclassical theory of spectral statistics | We address the question as to why, in the semiclassical limit, classically
chaotic systems generically exhibit universal quantum spectral statistics
coincident with those of Random Matrix Theory. To do so, we use a semiclassical
resummation formalism that explicitly preserves the unitarity of the quantum
time evolution by incorporating duality relations between short and long
classical orbits. This allows us to obtain both the non-oscillatory and the
oscillatory contributions to spectral correlation functions within a unified
framework, thus overcoming a significant problem in previous approaches. In
addition, our results extend beyond the universal regime to describe the
system-specific approach to the semiclassical limit.
| nlin.CD | we address the question as to why in the semiclassical limit classically chaotic systems generically exhibit universal quantum spectral statistics coincident with those of random matrix theory to do so we use a semiclassical resummation formalism that explicitly preserves the unitarity of the quantum time evolution by incorporating duality relations between short and long classical orbits this allows us to obtain both the nonoscillatory and the oscillatory contributions to spectral correlation functions within a unified framework thus overcoming a significant problem in previous approaches in addition our results extend beyond the universal regime to describe the systemspecific approach to the semiclassical limit | [['we', 'address', 'the', 'question', 'as', 'to', 'why', 'in', 'the', 'semiclassical', 'limit', 'classically', 'chaotic', 'systems', 'generically', 'exhibit', 'universal', 'quantum', 'spectral', 'statistics', 'coincident', 'with', 'those', 'of', 'random', 'matrix', 'theory', 'to', 'do', 'so', 'we', 'use', 'a', 'semiclassical', 'resummation', 'formalism', 'that', 'explicitly', 'preserves', 'the', 'unitarity', 'of', 'the', 'quantum', 'time', 'evolution', 'by', 'incorporating', 'duality', 'relations', 'between', 'short', 'and', 'long', 'classical', 'orbits', 'this', 'allows', 'us', 'to', 'obtain', 'both', 'the', 'nonoscillatory', 'and', 'the', 'oscillatory', 'contributions', 'to', 'spectral', 'correlation', 'functions', 'within', 'a', 'unified', 'framework', 'thus', 'overcoming', 'a', 'significant', 'problem', 'in', 'previous', 'approaches', 'in', 'addition', 'our', 'results', 'extend', 'beyond', 'the', 'universal', 'regime', 'to', 'describe', 'the', 'systemspecific', 'approach', 'to', 'the', 'semiclassical', 'limit']] | [-0.07980638390918281, 0.10332804534803419, -0.14920511216326965, 0.14680478959138887, -0.053083069659039084, -0.1322040404512675, 0.06430769779185272, 0.3170357906241335, -0.26873807811780887, -0.2520517511293292, 0.010164532095979095, -0.2549634085188896, -0.18709076773010047, 0.18126269455145425, -0.0683035587380622, 0.10105913549698159, 0.035462283173247296, -0.009036368383414239, -0.12429422240329943, -0.19662007269467793, 0.3019421461595259, 0.04884317591466813, 0.27107046130022, 0.06933726062632951, 0.0737128742609867, 0.034617612230838, -0.011981614230785007, 0.01268205009332365, -0.1362859689013253, 0.10796457192034223, 0.2652531394771501, 0.07143169835063756, 0.24101006759641072, -0.45071831630433307, -0.23635375673663528, 0.08074930571042475, 0.19295316165673784, 0.1615457764516274, 0.045060641753176846, -0.25554096336275633, 0.06461985193320788, -0.18727783348603064, -0.1586391726079598, -0.1387505125660705, -0.011949523237953875, -0.02716254817285374, -0.21999398902442088, 0.11341857097874049, 0.11273921472842202, -0.029932985388144265, -0.017870702525696662, 0.0014642336195809585, 0.08434995469938525, 0.1477380444469186, 0.04101575612873478, -0.004060061839089601, 0.07997617548715104, -0.11865148188171945, -0.13328962693648302, 0.34572489997006806, -0.08135489217466767, -0.18476133131622977, 0.18989464774609124, -0.16945034353856875, -0.16055042629915417, 0.09917880260549924, 0.12073207009748063, 0.11505949616748337, -0.15758774467451753, 0.147623751475704, -0.018054646549417692, 0.15187812591081157, 0.058840334059341866, 0.09935730743660208, 0.20177989107940128, 0.09324682255585988, 0.03511409723775133, 0.1042572175855657, -0.03983485452629918, -0.20547838479180036, -0.33273879931691813, -0.08887445696093303, -0.15001327564309844, 0.06399494294515427, -0.09104726571268995, -0.20476583684520686, 0.3897982356229834, 0.21399641866218208, 0.23180831238335253, 0.11907480871441829, 0.2840570351200215, 0.15610268303505875, 0.06500129277507465, 0.05015067890396013, 0.24859508529862426, 0.16781801322484205, 0.10382901370872323, -0.24383990988865786, -0.02125823200342483, 0.1089099139504719] |
708.2376 | On the geometric dependence of Riemannian Sobolev best constants | We concerns here with the continuity on the geometry of the second Riemannian
L^p-Sobolev best constant B_0(p,g) associated to the AB program. Precisely, for
1 <= p <= 2, we prove that B_0(p,g) depends continuously on g in the
C^2-topology. Moreover, this topology is sharp for p = 2. From this discussion,
we deduce some existence and C^0-compactness results on extremal functions.
| math.DG math.AP | we concerns here with the continuity on the geometry of the second riemannian lpsobolev best constant b_0pg associated to the ab program precisely for 1 p 2 we prove that b_0pg depends continuously on g in the c2topology moreover this topology is sharp for p 2 from this discussion we deduce some existence and c0compactness results on extremal functions | [['we', 'concerns', 'here', 'with', 'the', 'continuity', 'on', 'the', 'geometry', 'of', 'the', 'second', 'riemannian', 'lpsobolev', 'best', 'constant', 'b_0pg', 'associated', 'to', 'the', 'ab', 'program', 'precisely', 'for', '1', 'p', '2', 'we', 'prove', 'that', 'b_0pg', 'depends', 'continuously', 'on', 'g', 'in', 'the', 'c2topology', 'moreover', 'this', 'topology', 'is', 'sharp', 'for', 'p', '2', 'from', 'this', 'discussion', 'we', 'deduce', 'some', 'existence', 'and', 'c0compactness', 'results', 'on', 'extremal', 'functions']] | [-0.14052470955149537, 0.07263182414629098, -0.0763110689336567, 0.07193496955317512, -0.08949570973137659, -0.11106797982938588, 0.05560132956660319, 0.36871488121271667, -0.28830010700039566, -0.25719774870334994, 0.12780657102744694, -0.2914063997699746, -0.16144864294619765, 0.21187665161310829, -0.09811244840966538, 0.02508247093231018, 0.02345226297620684, 0.10740149430265385, -0.10738021031595833, -0.24568347453272768, 0.42840888373653535, -0.030982603884435127, 0.17711960619947473, 0.10481083135320139, 0.05823257169686258, 0.041890390924111544, -0.004540816074170705, -0.0007545083229030881, -0.26872173989938475, 0.14203188533429056, 0.194879334228712, 0.11004107554409918, 0.2536478412138032, -0.37202669217783424, -0.13883353611786983, 0.11484663240012846, 0.0630065994836124, 0.031218705503436337, -0.024264285428736394, -0.2373263028400418, 0.15512998187581875, -0.04637438246988625, -0.14980134880170226, -0.05591775382137192, 0.06622977286211348, 0.059174944122787565, -0.2425589533522725, 0.03916125648122813, 0.12910017184913158, 0.051014522647684704, -0.12184874395773347, -0.13095030177334724, 0.01336539160027834, 0.0843778587628289, 0.027709526022330726, 0.07873750707741627, 0.06087917211698368, -0.06803212601724747, -0.08712142728368885, 0.30306077317800373, -0.08335935568486873, -0.211933962697263, 0.14914884651079774, -0.22681059906192655, -0.20100613021557884, 0.06487672746048442, 0.14724228110363974, 0.16265194497204252, -0.0419353696051985, 0.15861540619412803, -0.07397272598713503, 0.15684886744046317, 0.07545555629102248, -0.030233837955165654, 0.06964359351383921, 0.10641473955391641, 0.1651478974714077, 0.12787411684153735, -0.02356330239334576, -0.017707663372025957, -0.3890437429238643, -0.16618141929419444, -0.18222109118609556, 0.14278037340929067, -0.11158798098637947, -0.13903131776688887, 0.3882520892137628, 0.11271225057342756, 0.2016782107031239, 0.09126889557644192, 0.2176576300657221, 0.09061421600303479, -0.022704288866537223, 0.10537929210113361, 0.22645770016086836, 0.1285940033017791, 0.04973180687686961, -0.17756705181974602, 0.042541167964892726, 0.10312226323627069] |
708.2377 | Online Learning in Discrete Hidden Markov Models | We present and analyse three online algorithms for learning in discrete
Hidden Markov Models (HMMs) and compare them with the Baldi-Chauvin Algorithm.
Using the Kullback-Leibler divergence as a measure of generalisation error we
draw learning curves in simplified situations. The performance for learning
drifting concepts of one of the presented algorithms is analysed and compared
with the Baldi-Chauvin algorithm in the same situations. A brief discussion
about learning and symmetry breaking based on our results is also presented.
| stat.ML | we present and analyse three online algorithms for learning in discrete hidden markov models hmms and compare them with the baldichauvin algorithm using the kullbackleibler divergence as a measure of generalisation error we draw learning curves in simplified situations the performance for learning drifting concepts of one of the presented algorithms is analysed and compared with the baldichauvin algorithm in the same situations a brief discussion about learning and symmetry breaking based on our results is also presented | [['we', 'present', 'and', 'analyse', 'three', 'online', 'algorithms', 'for', 'learning', 'in', 'discrete', 'hidden', 'markov', 'models', 'hmms', 'and', 'compare', 'them', 'with', 'the', 'baldichauvin', 'algorithm', 'using', 'the', 'kullbackleibler', 'divergence', 'as', 'a', 'measure', 'of', 'generalisation', 'error', 'we', 'draw', 'learning', 'curves', 'in', 'simplified', 'situations', 'the', 'performance', 'for', 'learning', 'drifting', 'concepts', 'of', 'one', 'of', 'the', 'presented', 'algorithms', 'is', 'analysed', 'and', 'compared', 'with', 'the', 'baldichauvin', 'algorithm', 'in', 'the', 'same', 'situations', 'a', 'brief', 'discussion', 'about', 'learning', 'and', 'symmetry', 'breaking', 'based', 'on', 'our', 'results', 'is', 'also', 'presented']] | [-0.012317371481147251, 0.018615763171845556, -0.11320542562507878, 0.13360786797344, -0.08862833705375363, -0.1801964804701703, 0.045287780901784765, 0.4400706455160521, -0.22887627325805002, -0.301151716983632, 0.11698778853659812, -0.2594415856966455, -0.18089153735261215, 0.21173223676650146, -0.12146108952890101, 0.08496874497321091, 0.07356166295511157, 0.06543801925880344, -0.10770524965942298, -0.268575126378748, 0.2958479674784222, 0.034730252331907026, 0.2940786724885632, -0.009615510634734835, 0.13847331543710376, 0.003687248553002351, -0.06550382705111253, -0.01113082785894604, -0.14560252790167733, 0.1618861826626878, 0.2559725811487576, 0.1887013000485144, 0.2948816189003226, -0.36247510059834703, -0.2014332363185914, 0.10296206825755928, 0.11332965095674521, 0.1253812182572131, -0.06512085895672881, -0.3397382311768046, 0.049512993213475534, -0.1374089904619675, -0.043505176350376325, -0.11607792657358866, -0.057487096848873126, 0.03353764598968586, -0.2608880171258199, 0.03326719910125432, 0.07047670895821954, 0.10452046246868313, -0.03580544263087703, -0.150512955474704, 0.07090726845260513, 0.09913804206237394, 0.1065520621211219, -0.01106442876870891, 0.10760735279396422, -0.11911636774771307, -0.2223022517956499, 0.3564992632079673, -0.07029716695021641, -0.20311470179340654, 0.18306216648718537, -0.030500740204986772, -0.1943635182749284, 0.07832204463193193, 0.23991981316602937, 0.1313729079587287, -0.1396513024075447, 0.03996758425216142, -0.02233628339538547, 0.12904559865005708, 0.010805136548649324, -0.016330397381496272, 0.11063378131151885, 0.22642273029410526, 0.02248163347279555, 0.18695136769153914, -0.07737376055822671, -0.15811141215166763, -0.31319099582584675, -0.13568080118612239, -0.17876762167648658, -0.050107976973154826, -0.10232835612183216, -0.1256202957470362, 0.39307743329309713, 0.192832124149917, 0.20427555928166075, 0.11920289288421995, 0.3077172015756859, 0.07086016271741276, 0.01276564797980858, 0.14762618837534988, 0.20110532144501217, 0.1326604261749277, 0.10919539295565828, -0.19774439107430608, 0.0566480564210858, 0.05399743560701609] |
708.2378 | Surface charge algebra in gauge theories and thermodynamic integrability | Surface charges and their algebra in interacting Lagrangian gauge field
theories are investigated by using techniques from the variational calculus. In
the case of exact solutions and symmetries, the surface charges are interpreted
as a Pfaff system. Integrability is governed by Frobenius' theorem and the
charges associated with the derived symmetry algebra are shown to vanish. In
the asymptotic context, we provide a generalized covariant derivation of the
result that the representation of the asymptotic symmetry algebra through
charges may be centrally extended. Finally, we make contact with Hamiltonian
and with covariant phase space methods.
| gr-qc hep-th | surface charges and their algebra in interacting lagrangian gauge field theories are investigated by using techniques from the variational calculus in the case of exact solutions and symmetries the surface charges are interpreted as a pfaff system integrability is governed by frobenius theorem and the charges associated with the derived symmetry algebra are shown to vanish in the asymptotic context we provide a generalized covariant derivation of the result that the representation of the asymptotic symmetry algebra through charges may be centrally extended finally we make contact with hamiltonian and with covariant phase space methods | [['surface', 'charges', 'and', 'their', 'algebra', 'in', 'interacting', 'lagrangian', 'gauge', 'field', 'theories', 'are', 'investigated', 'by', 'using', 'techniques', 'from', 'the', 'variational', 'calculus', 'in', 'the', 'case', 'of', 'exact', 'solutions', 'and', 'symmetries', 'the', 'surface', 'charges', 'are', 'interpreted', 'as', 'a', 'pfaff', 'system', 'integrability', 'is', 'governed', 'by', 'frobenius', 'theorem', 'and', 'the', 'charges', 'associated', 'with', 'the', 'derived', 'symmetry', 'algebra', 'are', 'shown', 'to', 'vanish', 'in', 'the', 'asymptotic', 'context', 'we', 'provide', 'a', 'generalized', 'covariant', 'derivation', 'of', 'the', 'result', 'that', 'the', 'representation', 'of', 'the', 'asymptotic', 'symmetry', 'algebra', 'through', 'charges', 'may', 'be', 'centrally', 'extended', 'finally', 'we', 'make', 'contact', 'with', 'hamiltonian', 'and', 'with', 'covariant', 'phase', 'space', 'methods']] | [-0.15333496241854797, 0.1183987198887687, -0.11614918080403616, 0.07714298062247077, -0.08782918064021751, -0.12460508573996393, -0.027666812361904273, 0.34354080426457684, -0.2516277383424734, -0.26230641328974774, 0.10897425215225667, -0.2416641142415373, -0.172091479256357, 0.1220934398668377, -0.07599322791211308, -0.0011272137813074024, 0.017182526073271507, 0.08640877148167132, -0.147872977505291, -0.1938645772047733, 0.36090791191121463, -0.003963788962726923, 0.249542569525932, 0.03491073127247785, 0.10710093813311113, 0.014100435643309825, -0.013339346598245596, 0.03547404155006485, -0.11660043273502532, 0.1127913431411511, 0.22817056159194754, 0.04382643534948951, 0.13499932886150323, -0.4684095134272387, -0.1691146247088909, 0.07546167654769594, 0.15237104732445197, 0.12118182170547936, -0.04388453465347227, -0.3541446301081267, 0.07073390528461651, -0.198906449150098, -0.21321837970325233, -0.11779025690139909, -0.020423009363003074, 0.012069180200954802, -0.23202922667719816, 0.1037781195371951, 0.06502180595048948, 0.0964484001852964, -0.12098296979981425, -0.08291767873972851, -0.12108570972678105, 0.05171144913980051, 0.08401651223876366, 0.018884257982043844, 0.1203282066302276, -0.11255109421418685, -0.12735081264553103, 0.36890795267138043, -0.03689595731771796, -0.29728016004358465, 0.14577059644568516, -0.13110885038285663, -0.15150192995114545, 0.10551909045561364, 0.08660625675693154, 0.14805725995745314, -0.15215351940377764, 0.20186339750836946, -0.03373707221134713, 0.044336505253848274, 0.0573014162725916, 0.04643776615297324, 0.21098212312514844, 0.0655402934423795, 0.04749883440764327, 0.13570578472174116, 0.03302644331339061, -0.16459592863623249, -0.3808563075371479, -0.1576842691626792, -0.15275139488083753, 0.06818801510932022, -0.0927016669682129, -0.11825316283747701, 0.346990202038892, 0.1077096874151673, 0.13356855667049164, 0.06204033781924457, 0.19698318388607156, 0.20208391921570232, 0.11327221086738926, 0.061140602376115946, 0.20738401120945224, 0.2446522720697287, 0.04367199334512024, -0.19988665193883015, -0.06917956762358939, 0.20924324264847918] |
708.2379 | Gemini GMOS/IFU spectroscopy of NGC 1569 - I: Mapping the properties of
a young star cluster and its environment | [Abridged] We present Gemini-North GMOS/IFU observations of a young star
cluster (cluster 10) and its environment near the centre of the dwarf irregular
starburst galaxy NGC 1569. This forms part of a larger and on-going study of
the formation and collimation mechanisms of galactic winds, including three
additional IFU pointings in NGC 1569 covering the base of the galactic wind
which are analysed in a companion paper. The good spatial- and
spectral-resolution of these GMOS/IFU observations, covering 4740-6860 A, allow
us to probe the interactions between clusters and their environments on small
scales. Combining our GMOS spectrum with HST imaging, we find that cluster 10
is composed of two very close components with ages of 5-7 Myr and <5 Myr, and a
combined mass of 7 +/- 5 x 10^3 Msun.
A detailed analysis of the H_alpha emission line profile shapes across the
whole field-of-view shows them to be composed of a bright narrow feature
(intrinsic FWHM ~ 50 km/s) superimposed on a fainter broad component (FWHM <
300 km/s). By mapping the properties of each individual component, we
investigate the small-scale structure and properties of the ionized ISM,
including reddening, excitation and electron densities, and for the first time
find spatial correlations between the line component properties. We discuss in
detail the possible mechanisms that could give rise to the two components and
these correlations, and conclude that the most likely explanation for the broad
emission is that it is produced in a turbulent mixing layer on the surface of
the cool gas clumps embedded within the hot, fast-flowing cluster winds. We
conclude we are sampling well within the outer bounding shocks of the expanding
superbubbles and within the outflow 'energy injection zone'.
| astro-ph | abridged we present gemininorth gmosifu observations of a young star cluster cluster 10 and its environment near the centre of the dwarf irregular starburst galaxy ngc 1569 this forms part of a larger and ongoing study of the formation and collimation mechanisms of galactic winds including three additional ifu pointings in ngc 1569 covering the base of the galactic wind which are analysed in a companion paper the good spatial and spectralresolution of these gmosifu observations covering 47406860 a allow us to probe the interactions between clusters and their environments on small scales combining our gmos spectrum with hst imaging we find that cluster 10 is composed of two very close components with ages of 57 myr and 5 myr and a combined mass of 7 5 x 103 msun a detailed analysis of the h_alpha emission line profile shapes across the whole fieldofview shows them to be composed of a bright narrow feature intrinsic fwhm 50 kms superimposed on a fainter broad component fwhm 300 kms by mapping the properties of each individual component we investigate the smallscale structure and properties of the ionized ism including reddening excitation and electron densities and for the first time find spatial correlations between the line component properties we discuss in detail the possible mechanisms that could give rise to the two components and these correlations and conclude that the most likely explanation for the broad emission is that it is produced in a turbulent mixing layer on the surface of the cool gas clumps embedded within the hot fastflowing cluster winds we conclude we are sampling well within the outer bounding shocks of the expanding superbubbles and within the outflow energy injection zone | [['abridged', 'we', 'present', 'gemininorth', 'gmosifu', 'observations', 'of', 'a', 'young', 'star', 'cluster', 'cluster', '10', 'and', 'its', 'environment', 'near', 'the', 'centre', 'of', 'the', 'dwarf', 'irregular', 'starburst', 'galaxy', 'ngc', '1569', 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708.238 | Wishart distributions for decomposable graphs | When considering a graphical Gaussian model ${\mathcal{N}}_G$ Markov with
respect to a decomposable graph $G$, the parameter space of interest for the
precision parameter is the cone $P_G$ of positive definite matrices with fixed
zeros corresponding to the missing edges of $G$. The parameter space for the
scale parameter of ${\mathcal{N}}_G$ is the cone $Q_G$, dual to $P_G$, of
incomplete matrices with submatrices corresponding to the cliques of $G$ being
positive definite. In this paper we construct on the cones $Q_G$ and $P_G$ two
families of Wishart distributions, namely the Type I and Type II Wisharts. They
can be viewed as generalizations of the hyper Wishart and the inverse of the
hyper inverse Wishart as defined by Dawid and Lauritzen [Ann. Statist. 21
(1993) 1272--1317]. We show that the Type I and II Wisharts have properties
similar to those of the hyper and hyper inverse Wishart. Indeed, the inverse of
the Type II Wishart forms a conjugate family of priors for the covariance
parameter of the graphical Gaussian model and is strong directed hyper Markov
for every direction given to the graph by a perfect order of its cliques, while
the Type I Wishart is weak hyper Markov. Moreover, the inverse Type II Wishart
as a conjugate family presents the advantage of having a multidimensional shape
parameter, thus offering flexibility for the choice of a prior.
| math.ST stat.TH | when considering a graphical gaussian model mathcaln_g markov with respect to a decomposable graph g the parameter space of interest for the precision parameter is the cone p_g of positive definite matrices with fixed zeros corresponding to the missing edges of g the parameter space for the scale parameter of mathcaln_g is the cone q_g dual to p_g of incomplete matrices with submatrices corresponding to the cliques of g being positive definite in this paper we construct on the cones q_g and p_g two families of wishart distributions namely the type i and type ii wisharts they can be viewed as generalizations of the hyper wishart and the inverse of the hyper inverse wishart as defined by dawid and lauritzen ann statist 21 1993 12721317 we show that the type i and ii wisharts have properties similar to those of the hyper and hyper inverse wishart indeed the inverse of the type ii wishart forms a conjugate family of priors for the covariance parameter of the graphical gaussian model and is strong directed hyper markov for every direction given to the graph by a perfect order of its cliques while the type i wishart is weak hyper markov moreover the inverse type ii wishart as a conjugate family presents the advantage of having a multidimensional shape parameter thus offering flexibility for the choice of a prior | [['when', 'considering', 'a', 'graphical', 'gaussian', 'model', 'mathcaln_g', 'markov', 'with', 'respect', 'to', 'a', 'decomposable', 'graph', 'g', 'the', 'parameter', 'space', 'of', 'interest', 'for', 'the', 'precision', 'parameter', 'is', 'the', 'cone', 'p_g', 'of', 'positive', 'definite', 'matrices', 'with', 'fixed', 'zeros', 'corresponding', 'to', 'the', 'missing', 'edges', 'of', 'g', 'the', 'parameter', 'space', 'for', 'the', 'scale', 'parameter', 'of', 'mathcaln_g', 'is', 'the', 'cone', 'q_g', 'dual', 'to', 'p_g', 'of', 'incomplete', 'matrices', 'with', 'submatrices', 'corresponding', 'to', 'the', 'cliques', 'of', 'g', 'being', 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708.2381 | Embedding spacetime via a geodesically equivalent metric of Euclidean
signature | Starting from the equations of motion in a 1 + 1 static, diagonal, Lorentzian
spacetime, such as the Schwarzschild radial line element, I find another
metric, but with Euclidean signature, which produces the same geodesics x(t).
This geodesically equivalent, or dual, metric can be embedded in ordinary
Euclidean space. On the embedded surface freely falling particles move on the
shortest path. Thus one can visualize how acceleration in a gravitational field
is explained by particles moving freely in a curved spacetime. Freedom in the
dual metric allows us to display, with substantial curvature, even the weak
gravity of our Earth. This may provide a nice pedagogical tool for elementary
lectures on general relativity. I also study extensions of the dual metric
scheme to higher dimensions. In an addendum I extend the analysis concerning
the shape of an embedding of the dual spacetime of a line through a planet of
constant proper density.
| gr-qc | starting from the equations of motion in a 1 1 static diagonal lorentzian spacetime such as the schwarzschild radial line element i find another metric but with euclidean signature which produces the same geodesics xt this geodesically equivalent or dual metric can be embedded in ordinary euclidean space on the embedded surface freely falling particles move on the shortest path thus one can visualize how acceleration in a gravitational field is explained by particles moving freely in a curved spacetime freedom in the dual metric allows us to display with substantial curvature even the weak gravity of our earth this may provide a nice pedagogical tool for elementary lectures on general relativity i also study extensions of the dual metric scheme to higher dimensions in an addendum i extend the analysis concerning the shape of an embedding of the dual spacetime of a line through a planet of constant proper density | [['starting', 'from', 'the', 'equations', 'of', 'motion', 'in', 'a', '1', '1', 'static', 'diagonal', 'lorentzian', 'spacetime', 'such', 'as', 'the', 'schwarzschild', 'radial', 'line', 'element', 'i', 'find', 'another', 'metric', 'but', 'with', 'euclidean', 'signature', 'which', 'produces', 'the', 'same', 'geodesics', 'xt', 'this', 'geodesically', 'equivalent', 'or', 'dual', 'metric', 'can', 'be', 'embedded', 'in', 'ordinary', 'euclidean', 'space', 'on', 'the', 'embedded', 'surface', 'freely', 'falling', 'particles', 'move', 'on', 'the', 'shortest', 'path', 'thus', 'one', 'can', 'visualize', 'how', 'acceleration', 'in', 'a', 'gravitational', 'field', 'is', 'explained', 'by', 'particles', 'moving', 'freely', 'in', 'a', 'curved', 'spacetime', 'freedom', 'in', 'the', 'dual', 'metric', 'allows', 'us', 'to', 'display', 'with', 'substantial', 'curvature', 'even', 'the', 'weak', 'gravity', 'of', 'our', 'earth', 'this', 'may', 'provide', 'a', 'nice', 'pedagogical', 'tool', 'for', 'elementary', 'lectures', 'on', 'general', 'relativity', 'i', 'also', 'study', 'extensions', 'of', 'the', 'dual', 'metric', 'scheme', 'to', 'higher', 'dimensions', 'in', 'an', 'addendum', 'i', 'extend', 'the', 'analysis', 'concerning', 'the', 'shape', 'of', 'an', 'embedding', 'of', 'the', 'dual', 'spacetime', 'of', 'a', 'line', 'through', 'a', 'planet', 'of', 'constant', 'proper', 'density']] | [-0.11902461891580644, 0.1354085153374676, -0.12194953172695853, 0.07751710946896785, -0.12208265009404018, -0.15956063592646097, -0.037189192734758944, 0.35361430543283656, -0.22673270601620404, -0.24382805167728208, 0.07087832560997136, -0.26577877032962577, -0.12142138736243883, 0.1470828850472975, -0.10512647722990003, -0.030037148328288302, 0.044558373973735715, 0.08844741071680012, -0.09191606184375158, -0.21423386880474177, 0.33582026175907903, 0.0555753553014816, 0.21747051020899158, 0.016694953533688203, 0.11685639971077738, 0.014183842438266965, -0.04439408647278879, 0.09970999688248533, -0.1446231065182299, 0.1105314263663816, 0.20872586126137055, 0.1257245047734927, 0.21303163358435923, -0.41489823898824785, -0.23602151880672953, 0.06715818254480645, 0.1628055704066789, 0.10474830055809796, -0.06155041167558794, -0.30769770076831443, 0.03450791108489826, -0.12889849877336512, -0.20116523910770254, -0.015910548589728922, 0.04226498706235445, -0.03347616291617272, -0.18180064860860884, 0.013487676832175796, 0.0949556883085297, 0.029676517015261365, -0.07845410378842571, -0.04367478251216674, -0.015071548082070141, 0.08775967896903637, 0.06027969519996288, 0.1029708678572013, 0.1220385734491445, -0.059573756359727274, -0.10016559179724249, 0.42875833555266557, -0.11291654942871768, -0.2756809944191343, 0.16910471522946233, -0.16732404391521846, -0.08089853614099965, 0.12567639378954146, 0.18940712715690303, 0.17093543100806063, -0.1289675687470578, 0.15263640209847432, -0.03427969826160258, 0.12742480597249078, 0.09348844501825161, 0.015849944776531604, 0.2746142054311349, 0.08308253781438268, 0.08883928490913665, 0.122299005376909, -0.038236317658081456, -0.1169563915090179, -0.3816023310893123, -0.2263546585034431, -0.14588019539238206, 0.10789944330887215, -0.1874555110875887, -0.2033414031187726, 0.36936854272517544, 0.0994164897344809, 0.17812190339006237, 0.020539672460117137, 0.25698284432291985, 0.06349573053638544, 0.035273108176504635, 0.10805267559068389, 0.24133362589305304, 0.11012287906198362, 0.07182887747778946, -0.17246579053342984, -0.044594288102061244, 0.12632861175414] |
708.2382 | Pluto: A Monte Carlo Simulation Tool for Hadronic Physics | Pluto is a Monte-Carlo event generator designed for hadronic interactions
from Pion production threshold to intermediate energies of a few GeV per
nucleon, as well as for studies of heavy ion reactions. This report gives an
overview of the design of the package, the included models and the user
interface.
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708.2383 | Some explicit identities associated with positive self-similar Markov
processes | We consider some special classes of L\'evy processes with no gaussian
component whose L\'evy measure is of the type $\pi(dx)=e^{\gamma x}\nu(e^x-1)
dx$, where $\nu$ is the density of the stable L\'evy measure and $\gamma$ is a
positive parameter which depends on its characteristics. These processes were
introduced in \cite{CC} as the underlying L\'evy processes in the Lamperti
representation of conditioned stable L\'evy processes. In this paper, we
compute explicitly the law of these L\'evy processes at their first exit time
from a finite or semi-finite interval, the law of their exponential functional
and the first hitting time probability of a pair of points.
| math.PR | we consider some special classes of levy processes with no gaussian component whose levy measure is of the type pidxegamma xnuex1 dx where nu is the density of the stable levy measure and gamma is a positive parameter which depends on its characteristics these processes were introduced in citecc as the underlying levy processes in the lamperti representation of conditioned stable levy processes in this paper we compute explicitly the law of these levy processes at their first exit time from a finite or semifinite interval the law of their exponential functional and the first hitting time probability of a pair of points | [['we', 'consider', 'some', 'special', 'classes', 'of', 'levy', 'processes', 'with', 'no', 'gaussian', 'component', 'whose', 'levy', 'measure', 'is', 'of', 'the', 'type', 'pidxegamma', 'xnuex1', 'dx', 'where', 'nu', 'is', 'the', 'density', 'of', 'the', 'stable', 'levy', 'measure', 'and', 'gamma', 'is', 'a', 'positive', 'parameter', 'which', 'depends', 'on', 'its', 'characteristics', 'these', 'processes', 'were', 'introduced', 'in', 'citecc', 'as', 'the', 'underlying', 'levy', 'processes', 'in', 'the', 'lamperti', 'representation', 'of', 'conditioned', 'stable', 'levy', 'processes', 'in', 'this', 'paper', 'we', 'compute', 'explicitly', 'the', 'law', 'of', 'these', 'levy', 'processes', 'at', 'their', 'first', 'exit', 'time', 'from', 'a', 'finite', 'or', 'semifinite', 'interval', 'the', 'law', 'of', 'their', 'exponential', 'functional', 'and', 'the', 'first', 'hitting', 'time', 'probability', 'of', 'a', 'pair', 'of', 'points']] | [-0.08185699747156093, 0.2025280375342521, -0.1332185338527923, 0.08170234035967969, -0.046164388802953725, -0.11932472427292626, 0.07734822234516908, 0.3757557387620506, -0.3121838619895648, -0.17435957068153243, 0.10912815772001586, -0.26751836459613454, -0.12309301214172773, 0.15610722257608162, -0.06651870960756989, 0.09065487063293907, -0.04706167601427008, 0.06618579691921425, 0.005411547793093884, -0.1933686197343476, 0.3753411188528015, 0.03403176444163085, 0.20885056790453152, -0.009742300293528208, 0.1549185399556219, -0.036497785248747555, -0.12812386459145364, -0.06863096291383747, -0.16675824697802563, 0.06611770247270603, 0.20478877536998602, 0.0508270891208091, 0.2930924431466968, -0.3716378337934171, -0.18176718445328793, 0.21194159837052373, 0.06669813436041079, -0.018986474684587137, 0.006015958355527629, -0.3031388127272672, 0.07038893039559595, -0.14444349299987205, -0.15879109457577809, -0.0018013574893005414, 0.11454215979129814, 0.08986148971252807, -0.3032953909293997, 0.09229247723844382, 0.1435373570622489, 0.010092957964222325, -0.046696433095528865, -0.11322106095030904, -0.017941267852035193, 0.11156561393705704, 0.0515280714371509, -0.050903612901087816, 0.14840017552147527, -0.077351006889015, -0.158871917985956, 0.31811761182022863, -0.09290042758854751, -0.23222986264799786, 0.15850592107226205, -0.23995386002732827, -0.15257625457010057, 0.13779423125019058, 0.16065465226437492, 0.1601788729256639, -0.16155469018302046, 0.1797558074657999, 0.0030629027964510394, 0.07026762510695965, 0.07788753964117553, 0.01814080626441, 0.12662654111420016, 0.13871431936473022, 0.10634725076598253, 0.12355073399399177, -0.08438864601361058, -0.1509704278634474, -0.38245636374127157, -0.1954344394893413, -0.20844005664238835, 0.11331017141571582, -0.12571103719615212, -0.22705818537512037, 0.38737227564382526, 0.05881789429021059, 0.22689801267818502, 0.12877436884849489, 0.1853747623857332, 0.2299655568774439, -0.06538847590091242, 0.040344173797751466, 0.08746042780002976, 0.1353611657234591, 0.0803108371997086, -0.16119052723538832, 0.13752910761983309, 0.05792275660367] |
708.2384 | Co-operativity in neurons and the role of noise in brain | In view of some recent results in case of the dopaminergic neurons exhibiting
long range correlations in VTA of the limbic brain we are interested to find
out whether any stochastic nonlinear response may be reproducible in the nano
scales usimg the results of quantum mechanics. We have developed a scheme to
investigate this situation in this paper by taking into consideration the
Schrodinger equation (SE) in an arbitrary manifold with a metric, which is in
some sense a special case of the heat kernel equation. The special case of this
heat kernel equation is the diffusion equation, which may reproduce some key
phenomena of the neural activities. We make a dual equivalent circuit model of
SE and incorporate non commutativity and noise inside the circuit scheme. The
behaviour of the circuit elements with interesting limits are investigated. The
most bizarre part is the long range response of the model by dint of the
Central Limit Theorem, which is responsible for coherent behaviour of a large
assembly of neurons.
| q-bio.NC q-bio.QM | in view of some recent results in case of the dopaminergic neurons exhibiting long range correlations in vta of the limbic brain we are interested to find out whether any stochastic nonlinear response may be reproducible in the nano scales usimg the results of quantum mechanics we have developed a scheme to investigate this situation in this paper by taking into consideration the schrodinger equation se in an arbitrary manifold with a metric which is in some sense a special case of the heat kernel equation the special case of this heat kernel equation is the diffusion equation which may reproduce some key phenomena of the neural activities we make a dual equivalent circuit model of se and incorporate non commutativity and noise inside the circuit scheme the behaviour of the circuit elements with interesting limits are investigated the most bizarre part is the long range response of the model by dint of the central limit theorem which is responsible for coherent behaviour of a large assembly of neurons | [['in', 'view', 'of', 'some', 'recent', 'results', 'in', 'case', 'of', 'the', 'dopaminergic', 'neurons', 'exhibiting', 'long', 'range', 'correlations', 'in', 'vta', 'of', 'the', 'limbic', 'brain', 'we', 'are', 'interested', 'to', 'find', 'out', 'whether', 'any', 'stochastic', 'nonlinear', 'response', 'may', 'be', 'reproducible', 'in', 'the', 'nano', 'scales', 'usimg', 'the', 'results', 'of', 'quantum', 'mechanics', 'we', 'have', 'developed', 'a', 'scheme', 'to', 'investigate', 'this', 'situation', 'in', 'this', 'paper', 'by', 'taking', 'into', 'consideration', 'the', 'schrodinger', 'equation', 'se', 'in', 'an', 'arbitrary', 'manifold', 'with', 'a', 'metric', 'which', 'is', 'in', 'some', 'sense', 'a', 'special', 'case', 'of', 'the', 'heat', 'kernel', 'equation', 'the', 'special', 'case', 'of', 'this', 'heat', 'kernel', 'equation', 'is', 'the', 'diffusion', 'equation', 'which', 'may', 'reproduce', 'some', 'key', 'phenomena', 'of', 'the', 'neural', 'activities', 'we', 'make', 'a', 'dual', 'equivalent', 'circuit', 'model', 'of', 'se', 'and', 'incorporate', 'non', 'commutativity', 'and', 'noise', 'inside', 'the', 'circuit', 'scheme', 'the', 'behaviour', 'of', 'the', 'circuit', 'elements', 'with', 'interesting', 'limits', 'are', 'investigated', 'the', 'most', 'bizarre', 'part', 'is', 'the', 'long', 'range', 'response', 'of', 'the', 'model', 'by', 'dint', 'of', 'the', 'central', 'limit', 'theorem', 'which', 'is', 'responsible', 'for', 'coherent', 'behaviour', 'of', 'a', 'large', 'assembly', 'of', 'neurons']] | [-0.12743701856483572, 0.0945334598108318, -0.06599680542214108, 0.0578226003597679, -0.049895780732012576, -0.13956177407055206, -0.0021922718463299263, 0.3366172642036829, -0.2651621164356281, -0.2563261074329993, 0.08393796437788599, -0.2679372865419455, -0.20399842088352757, 0.20950539604417004, -0.06535867591100257, 0.03419469315018172, 0.04372675934739943, 0.0432066692072632, -0.027918373251200786, -0.2117369446315847, 0.3097495116588626, 0.041315305729637784, 0.2601005656816553, 0.036694031358430426, 0.10663986975227349, -0.02409676924677721, -0.005138531244093818, 0.019982189001027672, -0.10657393632469134, 0.09134169527983647, 0.2690625435317911, 0.067877746931377, 0.29757004017509253, -0.4487637875524039, -0.2507210465125917, 0.11254774401008728, 0.11507011178071566, 0.11423095473201968, -0.005869589295581959, -0.2687134249981249, 0.06319382242370575, -0.142193853051313, -0.12269133221845896, -0.042422413476742804, 0.019494675867636466, 0.05104145084485589, -0.23522501626229358, 0.06938413609168492, 0.12133177146287857, 0.034959826252556274, -0.062142453770363884, -0.057802251159695776, 0.03822669864582297, 0.11934075249536406, 0.01648683884801964, -0.009975445731210389, 0.11756228927489636, -0.1603255020080334, -0.08358281841321427, 0.3603300731019339, -0.046350525037962054, -0.21200821197236933, 0.14584029620718433, -0.16519975347217128, -0.13027016444885658, 0.09770902444835797, 0.15363999115375226, 0.1031756674693454, -0.18818356563237362, 0.10309357851275265, -0.043074156964264275, 0.15001750209679207, 0.029054430856679875, 0.05323674458832968, 0.16822849041602153, 0.19404734497532314, 0.025856112637224475, 0.1529014763454186, -0.04163581484075015, -0.1131090923583889, -0.3166840569382267, -0.1602125145481772, -0.14246886482440113, 0.08104826120896698, -0.08995565426396622, -0.16594758716833202, 0.4073721283890076, 0.13843398341746901, 0.19785481344054764, 0.024924188713027564, 0.2348911444950361, 0.1531771495993737, 0.061904518044598046, 0.06039937624120198, 0.21459652375900382, 0.16279498090859437, 0.12358220128641863, -0.2282647378299208, 0.06861926845089156, 0.05105854055866422] |
708.2385 | A centimetre-wave excess over free-free emission in planetary nebulae | We report a centimetre-wave (cm-wave, 5-31GHz) excess over free-free emission
in PNe. Accurate 31 and 250GHz measurements show that the 31GHz flux densities
in our sample are systematically higher than the level of optically thin
free-free continuum extrapolated from 250GHz. The 31GHz excess is observed,
within one standard deviation, in all 18 PNe with reliable 31 and 250GHz data,
and is significant in 9 PNe. The only exception is the peculiar object M2-9,
whose radio spectrum is that of an optically thick stellar wind. On average the
fraction of non-free-free emission represents 51% of the total flux density at
31GHz, with a scatter of 11%. The average 31-250GHz spectral index of our
sample is <alpha_{31}^{250}> = -0.43+-0.03 (in flux density, with a scatter of
0.14). The 31--250 GHz drop is reminiscent of the anomalous foreground observed
in the diffuse ISM by CMB anisotropy experiments. The 5--31 GHz spectral
indices are consistent with both flat spectra and spinning dust emissivities,
given the 10% calibration uncertainty of the comparison 5GHz data. But a
detailed study of the objects with the largest cm-excess, including the low
frequency data available in the literature, shows that present spinning dust
models cannot alone explain the cm-excess in PNe. Although we have no
definitive interpretation of our data, the least implausible explanation
involves a synchrotron component absorbed by a cold nebular screen. We give
flux densities for 37 objects at 31GHz, and for 26 objects at 250GHz.
| astro-ph | we report a centimetrewave cmwave 531ghz excess over freefree emission in pne accurate 31 and 250ghz measurements show that the 31ghz flux densities in our sample are systematically higher than the level of optically thin freefree continuum extrapolated from 250ghz the 31ghz excess is observed within one standard deviation in all 18 pne with reliable 31 and 250ghz data and is significant in 9 pne the only exception is the peculiar object m29 whose radio spectrum is that of an optically thick stellar wind on average the fraction of nonfreefree emission represents 51 of the total flux density at 31ghz with a scatter of 11 the average 31250ghz spectral index of our sample is alpha_31250 043003 in flux density with a scatter of 014 the 31250 ghz drop is reminiscent of the anomalous foreground observed in the diffuse ism by cmb anisotropy experiments the 531 ghz spectral indices are consistent with both flat spectra and spinning dust emissivities given the 10 calibration uncertainty of the comparison 5ghz data but a detailed study of the objects with the largest cmexcess including the low frequency data available in the literature shows that present spinning dust models cannot alone explain the cmexcess in pne although we have no definitive interpretation of our data the least implausible explanation involves a synchrotron component absorbed by a cold nebular screen we give flux densities for 37 objects at 31ghz and for 26 objects at 250ghz | [['we', 'report', 'a', 'centimetrewave', 'cmwave', '531ghz', 'excess', 'over', 'freefree', 'emission', 'in', 'pne', 'accurate', '31', 'and', '250ghz', 'measurements', 'show', 'that', 'the', '31ghz', 'flux', 'densities', 'in', 'our', 'sample', 'are', 'systematically', 'higher', 'than', 'the', 'level', 'of', 'optically', 'thin', 'freefree', 'continuum', 'extrapolated', 'from', '250ghz', 'the', '31ghz', 'excess', 'is', 'observed', 'within', 'one', 'standard', 'deviation', 'in', 'all', '18', 'pne', 'with', 'reliable', 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708.2386 | Non-Abelian Vortices on the Torus | We study periodic arrays of non-Abelian vortices in an $SU(N) \times U(1)$
gauge theory with $N_f$ flavors of fundamental matter multiplets. We carefully
discuss the corresponding twisted boundary conditions on the torus and propose
an ansatz to solve the first order Bogomolnyi equations which we find by
looking to a bound of the energy. We solve the equations numerically and
construct explicit vortex solutions.
| hep-th | we study periodic arrays of nonabelian vortices in an sun times u1 gauge theory with n_f flavors of fundamental matter multiplets we carefully discuss the corresponding twisted boundary conditions on the torus and propose an ansatz to solve the first order bogomolnyi equations which we find by looking to a bound of the energy we solve the equations numerically and construct explicit vortex solutions | [['we', 'study', 'periodic', 'arrays', 'of', 'nonabelian', 'vortices', 'in', 'an', 'sun', 'times', 'u1', 'gauge', 'theory', 'with', 'n_f', 'flavors', 'of', 'fundamental', 'matter', 'multiplets', 'we', 'carefully', 'discuss', 'the', 'corresponding', 'twisted', 'boundary', 'conditions', 'on', 'the', 'torus', 'and', 'propose', 'an', 'ansatz', 'to', 'solve', 'the', 'first', 'order', 'bogomolnyi', 'equations', 'which', 'we', 'find', 'by', 'looking', 'to', 'a', 'bound', 'of', 'the', 'energy', 'we', 'solve', 'the', 'equations', 'numerically', 'and', 'construct', 'explicit', 'vortex', 'solutions']] | [-0.19523136727366364, 0.18653041672450854, -0.07450235721557874, 0.10228958167135715, -0.07755591693057795, -0.11042068713140907, -0.001050777069394826, 0.3245634793129284, -0.17026362313481513, -0.293214159362833, 0.11458657196453714, -0.2278108562604757, -0.1455025044415379, 0.07985596999060363, -0.010785851991386153, 0.05953828590554622, -0.0026207963637716603, 0.044903260059072636, -0.13242680585966582, -0.2643193275289377, 0.36290799741254887, -0.05685469158925116, 0.24293352180393413, 0.03753179364139214, 0.1255980589048704, -0.05125193216736079, -0.0004722508310806006, -0.05353772531816503, -0.2250684732425725, 0.09132375015906291, 0.18794080591760576, 0.0027465734819998033, 0.1342062448966317, -0.5172075579175726, -0.1754458845971385, 0.10661958803393645, 0.17187527342321118, 0.15881017281753884, -0.0130266981668683, -0.31729519928921945, 0.07754444181045983, -0.15620353259146214, -0.24865539799975522, -0.1160901064722566, 0.0004903560620732605, -0.03235377185410471, -0.27083784743444994, 0.03311076440149918, -0.019106780411675572, 0.004183227370958775, -0.11236372053826926, -0.065586288634222, -0.022099822788732126, 0.03694438533420907, 0.13175557615613798, -0.0051200746129325125, 0.03928283320419723, -0.22369951967266388, -0.14479138207389042, 0.3918702435330488, -0.06265568012713629, -0.23689618753269315, 0.12972125977103133, -0.07394708435913344, -0.13181754272955004, 0.09546705274260603, 0.17612356297468068, 0.1772142879490275, -0.1320622108905809, 0.13828488872786693, -0.12932996319614176, 0.17203370547213126, 0.09155383065808564, -0.030782215733779594, 0.2339097874937579, 0.11117072793422267, 0.10086711135954829, 0.15386470916564576, -0.03730751571129076, -0.11020076253043953, -0.34901057384558953, -0.1440687069634805, -0.11997399140818743, 0.11069330319514847, -0.09160810413914078, -0.15176444915414322, 0.39548981422558427, 0.16806592955254018, 0.1453914974986219, 0.022283436138877732, 0.20260582523042103, 0.18893545263563283, 0.02505450544595078, 0.10195371939335018, 0.189707331435784, 0.21263628330780193, 0.06371162560390076, -0.300079046843166, -0.22677167374786222, 0.22246359706332441] |
708.2387 | Orbit determination for next generation space clocks | Over the last decade of the 20th century and the first few years of the 21st,
the uncertainty of atomic clocks has decreased by about two orders of
magnitude, passing from the low 10^-14 to below 10^-16, in relative frequency .
Space applications in fundamental physics, geodesy, time/frequency metrology,
navigation etc... are among the most promising for this new generation of
clocks. Onboard terrestrial or solar system satellites, their exceptional
frequency stability and accuracy makes them a prime tool to test the
fundamental laws of nature, and to study gravitational potentials and their
evolution.
In this paper, we study in more detail the requirements on orbitography
compatible with operation of next generation space clocks at the required
uncertainty based on a completely relativistic model. Using the ACES (Atomic
Clock Ensemble in Space) mission as an example, we show that the required
accuracy goal can be reached with relatively modest constraints on the
orbitography of the space clock, much less stringent than expected from "naive"
estimates. Our results are generic to all space clocks and represent a
significant step towards the generalised use of next generation space clocks in
fundamental physics, geodesy, and time/frequency metrology.
| physics.space-ph physics.geo-ph | over the last decade of the 20th century and the first few years of the 21st the uncertainty of atomic clocks has decreased by about two orders of magnitude passing from the low 1014 to below 1016 in relative frequency space applications in fundamental physics geodesy timefrequency metrology navigation etc are among the most promising for this new generation of clocks onboard terrestrial or solar system satellites their exceptional frequency stability and accuracy makes them a prime tool to test the fundamental laws of nature and to study gravitational potentials and their evolution in this paper we study in more detail the requirements on orbitography compatible with operation of next generation space clocks at the required uncertainty based on a completely relativistic model using the aces atomic clock ensemble in space mission as an example we show that the required accuracy goal can be reached with relatively modest constraints on the orbitography of the space clock much less stringent than expected from naive estimates our results are generic to all space clocks and represent a significant step towards the generalised use of next generation space clocks in fundamental physics geodesy and timefrequency metrology | [['over', 'the', 'last', 'decade', 'of', 'the', '20th', 'century', 'and', 'the', 'first', 'few', 'years', 'of', 'the', '21st', 'the', 'uncertainty', 'of', 'atomic', 'clocks', 'has', 'decreased', 'by', 'about', 'two', 'orders', 'of', 'magnitude', 'passing', 'from', 'the', 'low', '1014', 'to', 'below', '1016', 'in', 'relative', 'frequency', 'space', 'applications', 'in', 'fundamental', 'physics', 'geodesy', 'timefrequency', 'metrology', 'navigation', 'etc', 'are', 'among', 'the', 'most', 'promising', 'for', 'this', 'new', 'generation', 'of', 'clocks', 'onboard', 'terrestrial', 'or', 'solar', 'system', 'satellites', 'their', 'exceptional', 'frequency', 'stability', 'and', 'accuracy', 'makes', 'them', 'a', 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708.2388 | Two electron entanglement enhancement by an inelastic scattering process | In order to assess inelastic effects on two fermion entanglement production,
we address an exactly solvable two-particle scattering problem where the target
is an excitable scatterer. Useful entanglement, as measured by the two particle
concurrence, is obtained from post-selection of oppositely scattered particle
states. The $S$ matrix formalism is generalized in order to address non-unitary
evolution in the propagating channels. We find the striking result that
inelasticity can actually increase concurrence as compared to the elastic case
by increasing the uncertainty of the single particle subspace. Concurrence
zeros are controlled by either single particle resonance energies or total
reflection conditions that ascertain precisely one of the electron states.
Concurrence minima also occur and are controlled by entangled resonance
situations were the electron becomes entangled with the scatterer, and thus
does not give up full information of its state. In this model, exciting the
scatterer can never fully destroy phase coherence due to an intrinsic limit to
the probability of inelastic events.
| quant-ph | in order to assess inelastic effects on two fermion entanglement production we address an exactly solvable twoparticle scattering problem where the target is an excitable scatterer useful entanglement as measured by the two particle concurrence is obtained from postselection of oppositely scattered particle states the s matrix formalism is generalized in order to address nonunitary evolution in the propagating channels we find the striking result that inelasticity can actually increase concurrence as compared to the elastic case by increasing the uncertainty of the single particle subspace concurrence zeros are controlled by either single particle resonance energies or total reflection conditions that ascertain precisely one of the electron states concurrence minima also occur and are controlled by entangled resonance situations were the electron becomes entangled with the scatterer and thus does not give up full information of its state in this model exciting the scatterer can never fully destroy phase coherence due to an intrinsic limit to the probability of inelastic events | [['in', 'order', 'to', 'assess', 'inelastic', 'effects', 'on', 'two', 'fermion', 'entanglement', 'production', 'we', 'address', 'an', 'exactly', 'solvable', 'twoparticle', 'scattering', 'problem', 'where', 'the', 'target', 'is', 'an', 'excitable', 'scatterer', 'useful', 'entanglement', 'as', 'measured', 'by', 'the', 'two', 'particle', 'concurrence', 'is', 'obtained', 'from', 'postselection', 'of', 'oppositely', 'scattered', 'particle', 'states', 'the', 's', 'matrix', 'formalism', 'is', 'generalized', 'in', 'order', 'to', 'address', 'nonunitary', 'evolution', 'in', 'the', 'propagating', 'channels', 'we', 'find', 'the', 'striking', 'result', 'that', 'inelasticity', 'can', 'actually', 'increase', 'concurrence', 'as', 'compared', 'to', 'the', 'elastic', 'case', 'by', 'increasing', 'the', 'uncertainty', 'of', 'the', 'single', 'particle', 'subspace', 'concurrence', 'zeros', 'are', 'controlled', 'by', 'either', 'single', 'particle', 'resonance', 'energies', 'or', 'total', 'reflection', 'conditions', 'that', 'ascertain', 'precisely', 'one', 'of', 'the', 'electron', 'states', 'concurrence', 'minima', 'also', 'occur', 'and', 'are', 'controlled', 'by', 'entangled', 'resonance', 'situations', 'were', 'the', 'electron', 'becomes', 'entangled', 'with', 'the', 'scatterer', 'and', 'thus', 'does', 'not', 'give', 'up', 'full', 'information', 'of', 'its', 'state', 'in', 'this', 'model', 'exciting', 'the', 'scatterer', 'can', 'never', 'fully', 'destroy', 'phase', 'coherence', 'due', 'to', 'an', 'intrinsic', 'limit', 'to', 'the', 'probability', 'of', 'inelastic', 'events']] | [-0.10964918274125836, 0.24799527923722234, -0.056509139698854884, 0.10425297478329598, 0.012498787886272213, -0.1822904120546459, 0.018405847893507216, 0.35688636275528934, -0.26913771569809836, -0.27943056087466595, 0.02278605972775345, -0.3398955148812499, -0.07558397966529595, 0.1327718521803849, -0.0036601366862793515, 0.09647896778820407, 0.07192242248504428, 0.06358064715432361, -0.05113222059014294, -0.20852011942408794, 0.3271646670337697, 0.04877839537166776, 0.2561467200508977, 0.10453918784775812, 0.0804937690820383, 0.0632675690518588, 0.05469674766620459, -0.00856005369182329, -0.09640369906065976, 0.02944871494170533, 0.2722195179074401, 0.05322313928826255, 0.1900667453659062, -0.4486000611221198, -0.19245412988264277, 0.12820854713642818, 0.18999506480180547, 0.14984588715051134, 0.002070138556304278, -0.3145968243002498, -0.010873950277426228, -0.16220662658831672, -0.15970356128994168, -0.06692281882394313, 0.0043726710527441145, -0.04147120877545073, -0.266769091763551, 0.1208616576245364, 0.0493305851022065, 0.015056667424681827, -0.01800924575213713, -0.043649505149943306, -0.035949109583479924, 0.08097195272516135, 0.024728076498498505, 0.008959673381965861, 0.17113658753426178, -0.12918606079443826, -0.1273820059394221, 0.3273278995480689, -0.041174886389548734, -0.21882646381623627, 0.1581086306948423, -0.19143976733993784, -0.04302864008212913, 0.16680967155120896, 0.132709658146483, 0.09185515830339575, -0.1677335146438585, 0.038494975791278044, -0.04014932083165539, 0.16969193582804815, 0.10287779440629001, 0.08746453931103952, 0.19866427082730376, 0.1000071678690971, 0.07369453297141268, 0.1757353546281536, -0.09487350084761054, -0.09197421079090802, -0.2801364068670765, -0.14738735203869927, -0.22821166927446118, 0.06132493150336971, -0.05967182751079032, -0.11213942406039616, 0.38855069740357234, 0.12316763256994649, 0.20524691250638005, -0.02199485502061174, 0.2767173865512129, 0.17168117198957164, 0.035061291844138635, 0.03492764598452804, 0.28148339457971894, 0.1594552192620077, 0.05868545383712427, -0.2765150761552826, 0.0848871759682755, 0.021007771768624554] |
708.2389 | Vector and axialvector mesons at nonzero temperature within a gauged
linear sigma model | We consider vector and axialvector mesons in the framework of a gauged linear
sigma model with chiral $U(N_f)_R \times U(N_f)_L$ symmetry. For $N_f=2$, we
investigate the behavior of the chiral condensate and the meson masses as a
function of temperature by solving a system of coupled Dyson-Schwinger
equations derived via the 2PI formalism in double-bubble approximation. We find
that the inclusion of vector and axialvector mesons tends to sharpen the chiral
transition. Within our approximation scheme, the mass of the $\rho$ meson
increases by about 100 MeV towards the chiral transition.
| hep-th hep-ph nucl-th | we consider vector and axialvector mesons in the framework of a gauged linear sigma model with chiral un_f_r times un_f_l symmetry for n_f2 we investigate the behavior of the chiral condensate and the meson masses as a function of temperature by solving a system of coupled dysonschwinger equations derived via the 2pi formalism in doublebubble approximation we find that the inclusion of vector and axialvector mesons tends to sharpen the chiral transition within our approximation scheme the mass of the rho meson increases by about 100 mev towards the chiral transition | [['we', 'consider', 'vector', 'and', 'axialvector', 'mesons', 'in', 'the', 'framework', 'of', 'a', 'gauged', 'linear', 'sigma', 'model', 'with', 'chiral', 'un_f_r', 'times', 'un_f_l', 'symmetry', 'for', 'n_f2', 'we', 'investigate', 'the', 'behavior', 'of', 'the', 'chiral', 'condensate', 'and', 'the', 'meson', 'masses', 'as', 'a', 'function', 'of', 'temperature', 'by', 'solving', 'a', 'system', 'of', 'coupled', 'dysonschwinger', 'equations', 'derived', 'via', 'the', '2pi', 'formalism', 'in', 'doublebubble', 'approximation', 'we', 'find', 'that', 'the', 'inclusion', 'of', 'vector', 'and', 'axialvector', 'mesons', 'tends', 'to', 'sharpen', 'the', 'chiral', 'transition', 'within', 'our', 'approximation', 'scheme', 'the', 'mass', 'of', 'the', 'rho', 'meson', 'increases', 'by', 'about', '100', 'mev', 'towards', 'the', 'chiral', 'transition']] | [-0.1274076477204869, 0.24496630527038168, -0.060164496732445866, 0.06039792116076409, -0.03393960311390961, -0.09835812639301786, 0.08603210217104508, 0.30834529602101873, -0.16346712964638085, -0.21109413933315938, -0.022221202721594127, -0.3091975661342616, -0.09524455904233996, 0.0169404621650516, 0.10371107229224395, 0.09753589335685739, -0.0274965701327956, 0.07626813971744544, -0.13556134460204802, -0.1703346050421165, 0.34339279590358773, -0.07929340406106068, 0.21502556334055223, 0.12513963678073917, 0.07400536077649711, 0.027507421317520542, 0.051067136315076235, -0.05934510928588909, -0.13408949980705753, 0.044056583305943635, 0.1852243840745599, 0.03542905816153347, 0.16848216929401344, -0.3673902173951309, -0.18382627155713654, 0.05716284094276009, 0.1737588218433762, 0.14172785201079244, 0.0013087819238285442, -0.3445831714709709, 0.11846946196497551, -0.19814766444020218, -0.2198440401947924, -0.1330264424649323, -0.022012538523515583, -0.0593297040617032, -0.31799393040793283, 0.13425068395304401, -0.013561169801095684, 0.03126425626636534, -0.10329596329337129, -0.19863869316727537, -0.04058448059208036, 0.00318641667151926, 0.11114589535313976, 0.13145352640076652, 0.1342557065078866, -0.19892800098878669, -0.10311087400007707, 0.4258864182201061, -0.13616511899885814, -0.1789113455912569, 0.05836546704541523, -0.13457847218755836, -0.08545964788856589, 0.10101613340960754, 0.20435050999807133, 0.10950424055476765, -0.14477995290820087, 0.12571579270937305, -0.08118846752568261, 0.16521803185773584, 0.053901799220161944, 0.019929674709891224, 0.19844216979262266, 0.18925290902728562, -0.0034365046482819775, 0.08839597096052634, -0.020872180217078755, -0.12936076439487246, -0.3531803161233336, -0.10305111905900348, -0.10049125015899375, 0.08176014455710794, -0.11309508486490333, -0.0974383648832912, 0.395368831630169, 0.11950247019918246, 0.2425515118981251, 0.07458827521774795, 0.2962862408034258, 0.1513044559806176, 0.0737443956761406, 0.07817474913855012, 0.27404445095069624, 0.2810204285529575, 0.1170868660006058, -0.3359438782087067, -0.11204113226875172, 0.11504972026079566] |
708.239 | The circumbinary disk of HD 98800 B: Evidence for disk warping | The quadruple young stellar system HD 98800 consists of two spectroscopic
binary pairs with a circumbinary disk around the B component. Recent work by
Boden and collaborators using infrared interferometry and radial velocity data
resulted in a determination of the physical orbit for HD 98800 B. We use the
resulting inclination of the binary and the measured extinction toward the B
component stars to constrain the distribution of circumbinary material.
Although a standard optically and geometrically thick disk model can reproduce
the spectral energy distribution, it can not account for the observed
extinction if the binary and the disk are co-planar. We next constructed a
dynamical model to investigate the influence of the A component, which is not
in the Ba-Bb orbital plane, on the B disk. We find that these interactions have
a substantial impact on the inclination of the B circumbinary disk with respect
to the Ba-Bb orbital plane. The resulting warp would be sufficient to place
material into the line of sight and the non-coplanar disk orientation may also
cause the upper layers of the disk to intersect the line of sight if the disk
is geometrically thick. These simulations also support that the dynamics of the
Ba-Bb orbit clear the inner region to a radius of ~3 AU. We then discuss
whether the somewhat unusual properties of the HD 98800 B disk are consistent
with material remnant from the star formation process or with more recent
creation by collisions from larger bodies.
| astro-ph | the quadruple young stellar system hd 98800 consists of two spectroscopic binary pairs with a circumbinary disk around the b component recent work by boden and collaborators using infrared interferometry and radial velocity data resulted in a determination of the physical orbit for hd 98800 b we use the resulting inclination of the binary and the measured extinction toward the b component stars to constrain the distribution of circumbinary material although a standard optically and geometrically thick disk model can reproduce the spectral energy distribution it can not account for the observed extinction if the binary and the disk are coplanar we next constructed a dynamical model to investigate the influence of the a component which is not in the babb orbital plane on the b disk we find that these interactions have a substantial impact on the inclination of the b circumbinary disk with respect to the babb orbital plane the resulting warp would be sufficient to place material into the line of sight and the noncoplanar disk orientation may also cause the upper layers of the disk to intersect the line of sight if the disk is geometrically thick these simulations also support that the dynamics of the babb orbit clear the inner region to a radius of 3 au we then discuss whether the somewhat unusual properties of the hd 98800 b disk are consistent with material remnant from the star formation process or with more recent creation by collisions from larger bodies | [['the', 'quadruple', 'young', 'stellar', 'system', 'hd', '98800', 'consists', 'of', 'two', 'spectroscopic', 'binary', 'pairs', 'with', 'a', 'circumbinary', 'disk', 'around', 'the', 'b', 'component', 'recent', 'work', 'by', 'boden', 'and', 'collaborators', 'using', 'infrared', 'interferometry', 'and', 'radial', 'velocity', 'data', 'resulted', 'in', 'a', 'determination', 'of', 'the', 'physical', 'orbit', 'for', 'hd', '98800', 'b', 'we', 'use', 'the', 'resulting', 'inclination', 'of', 'the', 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708.2391 | On the capability of finite groups of class two and prime exponent | We consider the capability of $p$-groups of class two and odd prime exponent.
The question of capability is shown to be equivalent to a statement about
vector spaces and linear transformations, and using the equivalence we give
proofs of some old results and several new ones. In particular, we establish a
number of new necessary and new sufficient conditions for capability, including
a sufficient condition based only on the ranks of $G/Z(G)$ and $[G,G]$.
Finally, we characterise the capable groups among the 5-generated groups in
this class.
| math.GR | we consider the capability of pgroups of class two and odd prime exponent the question of capability is shown to be equivalent to a statement about vector spaces and linear transformations and using the equivalence we give proofs of some old results and several new ones in particular we establish a number of new necessary and new sufficient conditions for capability including a sufficient condition based only on the ranks of gzg and gg finally we characterise the capable groups among the 5generated groups in this class | [['we', 'consider', 'the', 'capability', 'of', 'pgroups', 'of', 'class', 'two', 'and', 'odd', 'prime', 'exponent', 'the', 'question', 'of', 'capability', 'is', 'shown', 'to', 'be', 'equivalent', 'to', 'a', 'statement', 'about', 'vector', 'spaces', 'and', 'linear', 'transformations', 'and', 'using', 'the', 'equivalence', 'we', 'give', 'proofs', 'of', 'some', 'old', 'results', 'and', 'several', 'new', 'ones', 'in', 'particular', 'we', 'establish', 'a', 'number', 'of', 'new', 'necessary', 'and', 'new', 'sufficient', 'conditions', 'for', 'capability', 'including', 'a', 'sufficient', 'condition', 'based', 'only', 'on', 'the', 'ranks', 'of', 'gzg', 'and', 'gg', 'finally', 'we', 'characterise', 'the', 'capable', 'groups', 'among', 'the', '5generated', 'groups', 'in', 'this', 'class']] | [-0.13611062851986241, 0.09741279143341926, -0.06131349107640427, 0.11528103701163862, -0.09877916586891272, -0.15367914466079063, 0.04867965677958848, 0.3547840409067481, -0.2536760131113751, -0.3022241867526413, 0.126164412865047, -0.199237659520762, -0.1557766869231019, 0.2528788498169634, -0.101566809914508, 0.047674464411102235, 0.03227104229289432, 0.09172186859731757, -0.06642259555587242, -0.306717771486187, 0.39042358559577967, -0.019138214259603343, 0.23229385117545379, 0.082793784750149, 0.11258501457700203, 0.007333219603657029, -0.045271844088727996, 0.029876381960199323, -0.17861935236426288, 0.1349724165358862, 0.2289387805381963, 0.1289791234249119, 0.26832502512369566, -0.3673100289347213, -0.12332942315139049, 0.18669739628730472, 0.08662381055115094, 0.06433482495201535, -0.061725633182335475, -0.2524319929179064, 0.1637793212376405, -0.15538015750475054, -0.14139111602657237, -0.10560865689957039, 0.03659719206002909, 0.03595673560359797, -0.30524239247274954, 0.008400824088819845, 0.1381849400904896, 0.08376223446671353, -0.0705760715767568, -0.09404408423565762, 0.050700398465228634, 0.13249050641735627, 0.00889227049950467, -0.07136880142376, 0.017448593889428085, -0.12049081774027802, -0.11085727951641, 0.3782972785276036, -0.039051539665981475, -0.20484056306439777, 0.2163420906858952, -0.14307262504819868, -0.20341517718584645, 0.08468751078688128, 0.1512820298220356, 0.14050691102111582, -0.10384891582869513, 0.08793699477804652, -0.08212183448377737, 0.12594511593843616, 0.05816293864099439, 0.07177443950177105, 0.12240484619491496, 0.10604498821018307, 0.09936801620304238, 0.1800443268567865, -0.02915399270619504, 0.00038019613008188126, -0.34835116220854745, -0.2092003422507713, -0.10560409112855099, 0.04938710153882587, -0.060297766152490474, -0.09788110302077596, 0.42372514227361874, 0.14330054095101563, 0.16759007948255816, 0.12702039837685608, 0.1920586501053253, 0.026192393772531474, 0.04654139232128685, 0.08062908545658967, 0.16200935617150186, 0.22169797210196077, 0.005662496672769965, -0.14516348400434784, 0.014395077577467228, 0.13898974538477527] |
708.2392 | Towards mirror symmetry \`a la SYZ for generalized Calabi-Yau manifolds | Fibrations of flux backgrounds by supersymmetric cycles are investigated. For
an internal six-manifold M with static SU(2) structure and mirror \hat{M}, it
is argued that the product M x \hat{M} is doubly fibered by supersymmetric
three-tori, with both sets of fibers transverse to M and \hat{M}. The mirror
map is then realized by T-dualizing the fibers. Mirror-symmetric properties of
the fluxes, both geometric and non-geometric, are shown to agree with previous
conjectures based on the requirement of mirror symmetry for Killing
prepotentials. The fibers are conjectured to be destabilized by fluxes on
generic SU(3)xSU(3) backgrounds, though they may survive at type-jumping
points. T-dualizing the surviving fibers ensures the exchange of pure spinors
under mirror symmetry.
| hep-th | fibrations of flux backgrounds by supersymmetric cycles are investigated for an internal sixmanifold m with static su2 structure and mirror hatm it is argued that the product m x hatm is doubly fibered by supersymmetric threetori with both sets of fibers transverse to m and hatm the mirror map is then realized by tdualizing the fibers mirrorsymmetric properties of the fluxes both geometric and nongeometric are shown to agree with previous conjectures based on the requirement of mirror symmetry for killing prepotentials the fibers are conjectured to be destabilized by fluxes on generic su3xsu3 backgrounds though they may survive at typejumping points tdualizing the surviving fibers ensures the exchange of pure spinors under mirror symmetry | [['fibrations', 'of', 'flux', 'backgrounds', 'by', 'supersymmetric', 'cycles', 'are', 'investigated', 'for', 'an', 'internal', 'sixmanifold', 'm', 'with', 'static', 'su2', 'structure', 'and', 'mirror', 'hatm', 'it', 'is', 'argued', 'that', 'the', 'product', 'm', 'x', 'hatm', 'is', 'doubly', 'fibered', 'by', 'supersymmetric', 'threetori', 'with', 'both', 'sets', 'of', 'fibers', 'transverse', 'to', 'm', 'and', 'hatm', 'the', 'mirror', 'map', 'is', 'then', 'realized', 'by', 'tdualizing', 'the', 'fibers', 'mirrorsymmetric', 'properties', 'of', 'the', 'fluxes', 'both', 'geometric', 'and', 'nongeometric', 'are', 'shown', 'to', 'agree', 'with', 'previous', 'conjectures', 'based', 'on', 'the', 'requirement', 'of', 'mirror', 'symmetry', 'for', 'killing', 'prepotentials', 'the', 'fibers', 'are', 'conjectured', 'to', 'be', 'destabilized', 'by', 'fluxes', 'on', 'generic', 'su3xsu3', 'backgrounds', 'though', 'they', 'may', 'survive', 'at', 'typejumping', 'points', 'tdualizing', 'the', 'surviving', 'fibers', 'ensures', 'the', 'exchange', 'of', 'pure', 'spinors', 'under', 'mirror', 'symmetry']] | [-0.1870855936003783, 0.1904606832639753, -0.05125153161156758, 0.07143114998306156, -0.049456170529324925, -0.18194287787480032, -0.0484039744761962, 0.4028700561204975, -0.18606754241972767, -0.2686315143307819, 0.1135115495352878, -0.26591037726853933, -0.12256494381226006, 0.15165919987938112, -0.13106375992858568, 0.0007146949451251895, 0.019136585736136257, 0.039702076532886224, -0.0909898730017558, -0.2900944029545593, 0.36167890885103066, 0.005283147780702705, 0.2833149546048546, 0.004397178557598387, 0.13514454436562626, 0.001313159669815373, 0.026559471815156922, -0.006456629043461475, -0.11361641582521143, 0.09252613792747086, 0.19871712292223115, 0.0291516107189741, 0.023060906824730006, -0.43919141386198784, -0.18017457166905063, 0.12417869113871943, 0.11221171699403022, 0.04683055246529062, 0.02299537600133469, -0.30295191665666293, 0.11014680023741934, -0.07716845124712692, -0.20615852768821394, -0.1151118971226094, 0.016492099925644894, -0.004699186281820314, -0.2125331266990253, -0.0262188696244781, 0.05721181015632387, 0.061168045184649196, -0.006664737189534755, -0.09418477926689686, -0.19905868100529883, 0.0421246553326141, 0.12407329744263758, 0.030319216129559595, 0.13926394297164427, -0.1234962557055122, -0.11211907877215901, 0.3625370663615455, -0.04914062327614664, -0.25235093170694545, 0.11043615474785982, -0.10974772322399591, -0.14107629362147597, 0.1977236422738967, 0.04263103122831182, 0.14229839825920299, -0.07688081553010105, 0.16588560227908408, -0.04077555842499817, 0.1124393499139037, 0.12725869566717277, -0.004961135158463653, 0.25040365052121005, 0.08936805915153395, 0.08867371570632125, 0.09112761537977124, -0.031467982600813946, -0.0657688587681448, -0.3730342999282005, -0.13926394376079593, -0.10988884788641162, 0.1411810990554833, -0.0736257678967441, -0.10792993256833561, 0.32125023726077206, -0.03345725133467004, 0.18885050589152802, 0.052881063372143995, 0.1927894155321791, 0.030099681702203455, 0.0872660851604676, 0.055393531782536115, 0.26894682094421796, 0.2099103104751722, 0.01794105011607166, -0.18001769607540516, -0.10078951350075349, 0.1421809462846908] |
708.2393 | QCD factorization approach for rare $\bar B^0\to D^*\gamma$ decay | We present the estimate of the branching ratio for the rare decay $\bar
B^0\to D^*\gamma$. We use QCD factorization approach in order to compute the
amplitude of the process. The calculation is carried out with the leading order
accuracy. % Our consideration is based on the % factorization for the amplitude
of the process which % has been derived with the leading order accuracy. The
appearing non-perturbative matrix elements have been estimated using the
large$-N_c$ limit and QCD sum rule approach. We obtained that $\mathcal{B}(\bar
B^0\to D^*\gamma)\simeq 1.52\times 10^{-7}$. Such value of the branching
fraction is too small in order to be measured at present experiments.
| hep-ph | we present the estimate of the branching ratio for the rare decay bar b0to dgamma we use qcd factorization approach in order to compute the amplitude of the process the calculation is carried out with the leading order accuracy our consideration is based on the factorization for the amplitude of the process which has been derived with the leading order accuracy the appearing nonperturbative matrix elements have been estimated using the largen_c limit and qcd sum rule approach we obtained that mathcalbbar b0to dgammasimeq 152times 107 such value of the branching fraction is too small in order to be measured at present experiments | [['we', 'present', 'the', 'estimate', 'of', 'the', 'branching', 'ratio', 'for', 'the', 'rare', 'decay', 'bar', 'b0to', 'dgamma', 'we', 'use', 'qcd', 'factorization', 'approach', 'in', 'order', 'to', 'compute', 'the', 'amplitude', 'of', 'the', 'process', 'the', 'calculation', 'is', 'carried', 'out', 'with', 'the', 'leading', 'order', 'accuracy', 'our', 'consideration', 'is', 'based', 'on', 'the', 'factorization', 'for', 'the', 'amplitude', 'of', 'the', 'process', 'which', 'has', 'been', 'derived', 'with', 'the', 'leading', 'order', 'accuracy', 'the', 'appearing', 'nonperturbative', 'matrix', 'elements', 'have', 'been', 'estimated', 'using', 'the', 'largen_c', 'limit', 'and', 'qcd', 'sum', 'rule', 'approach', 'we', 'obtained', 'that', 'mathcalbbar', 'b0to', 'dgammasimeq', '152times', '107', 'such', 'value', 'of', 'the', 'branching', 'fraction', 'is', 'too', 'small', 'in', 'order', 'to', 'be', 'measured', 'at', 'present', 'experiments']] | [-0.08070650830113393, 0.10230174076070289, -0.11019284628091915, 0.04148266482009756, -0.031066207335063135, -0.017062222455987836, 0.08725508749208385, 0.3364466635123043, -0.18902280067305754, -0.24376219375483174, 0.10217620689182146, -0.29996328460401855, -0.06747453298597218, 0.11307036592671187, 0.070223068237526, 0.12443791713915986, 0.0735201829338981, 0.047601730055590666, -0.047425823566264076, -0.23813105707453325, 0.26843580271642986, 0.023770707613318273, 0.2424114637335043, 0.08673073910176754, 0.06660281776883963, -0.023857404384531523, -0.0693214125677685, -0.016664337993848442, -0.1508515090247216, 0.07606799666548499, 0.21677618004188015, 0.07861147080502003, 0.15431314632688456, -0.35653520693615226, -0.09900572736480154, 0.1449093635442971, 0.16240104721481036, 0.09318171653062068, 0.019593043855649632, -0.2818098310196754, 0.168215269471823, -0.20936665997729811, -0.09528543432658114, -0.14321523156284474, 0.02202946201455549, -0.05264877426059972, -0.35965032290925486, 0.10438423325759497, -0.02903257294253695, -0.01290678930939129, 0.05292314459514426, -0.22730669041745144, 0.056980798728671844, 0.10379961875756041, 0.10640264560853473, 0.08248581610260403, 0.1383841655189448, -0.11005457213130032, -0.11479960143160407, 0.424976111638664, -0.0928369304245928, -0.17122157762693888, 0.10671495949379214, -0.20135108343703617, -0.15376806519648964, 0.1805044785141945, 0.19100287912579456, 0.12233580598990332, -0.12444532475443465, 0.09612771759840134, -0.009193922831022208, 0.16441553635614933, 0.07197751797099441, 0.0383828460275758, 0.14111095754398578, 0.19721665754476286, -0.04191722427402614, 0.09719994450956214, -0.12602292555199918, -0.10522034791030802, -0.3360374357440684, -0.09977772774746513, -0.13972409433191918, 0.08043981897690804, -0.10192989385073041, -0.11061630875222606, 0.3230453946692224, 0.152219742656418, 0.2588118795111849, 0.07407652898484121, 0.3081762721706735, 0.22782652669281947, 0.08170546375740652, 0.033032029687362435, 0.30575208392888675, 0.17571008787836215, 0.08720091792482809, -0.28398876002353457, 0.09951436944711621, 0.11368451707784345] |
708.2394 | F-thresholds, tight closure, integral closure, and multiplicity bounds | The F-threshold $c^J(\a)$ of an ideal $\a$ with respect to the ideal $J$ is a
positive characteristic invariant obtained by comparing the powers of $\a$ with
the Frobenius powers of $J$. We show that under mild assumptions, we can detect
the containment in the integral closure or the tight closure of a parameter
ideal using F-thresholds. We formulate a conjecture bounding $c^J(\a)$ in terms
of the multiplicities $e(\a)$ and $e(J)$, when $\a$ and $J$ are
zero-dimensional ideals, and $J$ is generated by a system of parameters. We
prove the conjecture when $J$ is a monomial ideal in a polynomial ring, and
also when $\a$ and $J$ are generated by homogeneous systems of parameters in a
Cohen-Macaulay graded $k$-algebra.
| math.AC math.AG | the fthreshold cja of an ideal a with respect to the ideal j is a positive characteristic invariant obtained by comparing the powers of a with the frobenius powers of j we show that under mild assumptions we can detect the containment in the integral closure or the tight closure of a parameter ideal using fthresholds we formulate a conjecture bounding cja in terms of the multiplicities ea and ej when a and j are zerodimensional ideals and j is generated by a system of parameters we prove the conjecture when j is a monomial ideal in a polynomial ring and also when a and j are generated by homogeneous systems of parameters in a cohenmacaulay graded kalgebra | [['the', 'fthreshold', 'cja', 'of', 'an', 'ideal', 'a', 'with', 'respect', 'to', 'the', 'ideal', 'j', 'is', 'a', 'positive', 'characteristic', 'invariant', 'obtained', 'by', 'comparing', 'the', 'powers', 'of', 'a', 'with', 'the', 'frobenius', 'powers', 'of', 'j', 'we', 'show', 'that', 'under', 'mild', 'assumptions', 'we', 'can', 'detect', 'the', 'containment', 'in', 'the', 'integral', 'closure', 'or', 'the', 'tight', 'closure', 'of', 'a', 'parameter', 'ideal', 'using', 'fthresholds', 'we', 'formulate', 'a', 'conjecture', 'bounding', 'cja', 'in', 'terms', 'of', 'the', 'multiplicities', 'ea', 'and', 'ej', 'when', 'a', 'and', 'j', 'are', 'zerodimensional', 'ideals', 'and', 'j', 'is', 'generated', 'by', 'a', 'system', 'of', 'parameters', 'we', 'prove', 'the', 'conjecture', 'when', 'j', 'is', 'a', 'monomial', 'ideal', 'in', 'a', 'polynomial', 'ring', 'and', 'also', 'when', 'a', 'and', 'j', 'are', 'generated', 'by', 'homogeneous', 'systems', 'of', 'parameters', 'in', 'a', 'cohenmacaulay', 'graded', 'kalgebra']] | [-0.1893968836355548, 0.06894458414134826, -0.054884964134544134, 0.014462758186154888, -0.03394595017435692, -0.1453233142935876, -0.028957990742035967, 0.31313191509758265, -0.31331692541696887, -0.20867514254582525, 0.09753891553777128, -0.23501711769297845, -0.09194607238415471, 0.19185500363602256, -0.07704903603673487, -0.008490675776186635, 0.0515031460001749, 0.07400444144643527, -0.08950766726689002, -0.2748192963920439, 0.3856894449820205, 0.04725412060743419, 0.17979940813443213, 0.027280910644518465, 0.11607761484160388, 0.004784442435050288, -0.02348053407997398, 0.08812667326449211, -0.20210877201211355, 0.12246171202731587, 0.25302780566981725, 0.07289630497245402, 0.2443646152929987, -0.3448409114538108, -0.1001540235819895, 0.17451851605437696, 0.07420583016444314, -0.0009046609245114408, 0.019168029233450228, -0.22249378268685888, 0.1644023539956217, -0.19090812602001478, -0.16898657008808232, -0.07500254234172783, 0.11142959524640593, 0.08638085116892737, -0.39178360507713034, 0.019528228597926623, 0.1452201554192609, 0.14803759404852734, -0.028039120672412723, -0.07999507982137818, -0.03802451103041738, 0.007498144653331788, -0.051714812596802114, 0.008304296743116831, 0.05754250163307129, -0.1511011477086251, -0.12451174657918133, 0.37675257764314696, -0.09714356732507379, -0.22363962399648993, 0.14664349988323905, -0.16209950015911737, -0.07779243314575593, 0.10633375972777731, 0.012320332915790506, 0.1293424391937521, -0.06087739932559474, 0.19132769245494521, -0.16232979196810432, 0.07799854498135589, 0.0725266948811931, -0.01586419778434023, 0.15848674442840077, 0.08041624386076641, 0.05255101270351156, 0.15845597043270404, -0.03883053028119444, 0.0060424903778643424, -0.31243466506948914, -0.21488755154896969, -0.20205418775015968, 0.1370198548913507, -0.07304986610836488, -0.09684767068158519, 0.390207747660451, 0.0863545188202791, 0.21920096833195726, 0.06935263222864813, 0.23408911279323746, 0.11206642011085809, 0.0076887603428400265, 0.12183013069048776, 0.15907302662193523, 0.17721929865044747, -0.02206157261537293, -0.18035188629449803, 0.025602689143112402, 0.13958457127702817] |
708.2395 | Key Agreement and Authentication Schemes Using Non-Commutative
Semigroups | We give a new two-pass authentication scheme, whichis a generalisation of an
authentication scheme of Sibert-Dehornoy-Girault based on the Diffie-Hellman
conjugacy problem. Compared to the above scheme, for some parameters it is more
efficient with respect to multiplications. We sketch a proof that our
authentication scheme is secure. We give a new key agreement protocols.
| cs.CR | we give a new twopass authentication scheme whichis a generalisation of an authentication scheme of sibertdehornoygirault based on the diffiehellman conjugacy problem compared to the above scheme for some parameters it is more efficient with respect to multiplications we sketch a proof that our authentication scheme is secure we give a new key agreement protocols | [['we', 'give', 'a', 'new', 'twopass', 'authentication', 'scheme', 'whichis', 'a', 'generalisation', 'of', 'an', 'authentication', 'scheme', 'of', 'sibertdehornoygirault', 'based', 'on', 'the', 'diffiehellman', 'conjugacy', 'problem', 'compared', 'to', 'the', 'above', 'scheme', 'for', 'some', 'parameters', 'it', 'is', 'more', 'efficient', 'with', 'respect', 'to', 'multiplications', 'we', 'sketch', 'a', 'proof', 'that', 'our', 'authentication', 'scheme', 'is', 'secure', 'we', 'give', 'a', 'new', 'key', 'agreement', 'protocols']] | [-0.1982504938345368, -0.059732524031089806, -0.13257083800379876, 0.05238702503912565, -0.06010357066299076, -0.2971356490764905, 0.12648410491507361, 0.3848680576516522, -0.24933704540685372, -0.24196453816451444, 0.08708864575493391, -0.20544810224048518, -0.14140804601764237, 0.30293750424903854, -0.19995177864890407, 0.09072368747244279, 0.033951585146564024, -0.004849824674979404, -0.09306171219537242, -0.3140761224139068, 0.32101865098984156, 0.06111323479476764, 0.294421571203404, 0.05807226051197008, 0.13605722064945708, -0.005547342813332324, -0.02631761840786095, -0.10947162678672208, -0.1331126200973274, 0.16710215680844462, 0.2241238275611842, 0.1402751452847884, 0.27107463618395505, -0.3312138545551096, -0.13603308614067458, 0.06660413893836516, 0.13553323598440598, 0.18032149128891803, -0.14638927547801156, -0.24230820185470361, 0.15061872519759667, -0.25948607699117726, -0.0720871351443714, -0.12418576797332477, -0.04115648308975829, -0.010663954799787866, -0.34656189285494665, -0.0026348619031961317, 0.044377244698504605, 0.04663642200951775, 0.00724437285249156, -0.04243928423427321, 0.1022019004923533, 0.06640183232310745, -0.02640543092490622, 0.051342765481590676, 0.06832363807458293, -0.04622669036379429, -0.16612282386739496, 0.40618819274284224, -0.003832485992461443, -0.2022949168458581, 0.12751867045665644, 0.07177960186230915, -0.16994905292435927, 0.12042923249235307, 0.15181600275294235, 0.15932288372682202, -0.10096197113118789, 0.008340766101523681, -0.15145161401273477, 0.25493533630786397, 0.012012515079092097, 0.08204742968478564, 0.04277557276051353, 0.17917505251588645, 0.15794476614920078, 0.11595707667853546, -0.0004895733350336, -0.09705637574747757, -0.32385090045217013, -0.23097242142453236, -0.1539985363509644, -0.005452972181417324, -0.09967032294823891, -0.1444904295236079, 0.37321232113619635, 0.24274075565066328, 0.1786214857776132, 0.11429257965129283, 0.38852097238931393, 0.06868364640589182, 0.0684092123389106, 0.13289163130576964, 0.15121827022166043, 0.12417067866772413, 0.07835090865329322, -0.1355229583741338, 0.1108313641614384, 0.1869534674031591] |
708.2396 | Understanding entanglement as resource: locally distinguishing
unextendible product bases | It is known that the states in an unextendible product basis (UPB) cannot be
distinguished perfectly when the parties are restricted to local operations and
classical communication (LOCC). Previous discussions of such bases have left
open the following question: What entanglement resources are necessary and/or
sufficient for this task to be possible with LOCC? In this paper, I present
protocols which use entanglement more efficiently than teleportation to
distinguish certain classes of UPB's. The ideas underlying my approach to this
problem offer rather general insight into why entanglement is useful for such
tasks.
| quant-ph | it is known that the states in an unextendible product basis upb cannot be distinguished perfectly when the parties are restricted to local operations and classical communication locc previous discussions of such bases have left open the following question what entanglement resources are necessary andor sufficient for this task to be possible with locc in this paper i present protocols which use entanglement more efficiently than teleportation to distinguish certain classes of upbs the ideas underlying my approach to this problem offer rather general insight into why entanglement is useful for such tasks | [['it', 'is', 'known', 'that', 'the', 'states', 'in', 'an', 'unextendible', 'product', 'basis', 'upb', 'can', 'not', 'be', 'distinguished', 'perfectly', 'when', 'the', 'parties', 'are', 'restricted', 'to', 'local', 'operations', 'and', 'classical', 'communication', 'locc', 'previous', 'discussions', 'of', 'such', 'bases', 'have', 'left', 'open', 'the', 'following', 'question', 'what', 'entanglement', 'resources', 'are', 'necessary', 'andor', 'sufficient', 'for', 'this', 'task', 'to', 'be', 'possible', 'with', 'locc', 'in', 'this', 'paper', 'i', 'present', 'protocols', 'which', 'use', 'entanglement', 'more', 'efficiently', 'than', 'teleportation', 'to', 'distinguish', 'certain', 'classes', 'of', 'upbs', 'the', 'ideas', 'underlying', 'my', 'approach', 'to', 'this', 'problem', 'offer', 'rather', 'general', 'insight', 'into', 'why', 'entanglement', 'is', 'useful', 'for', 'such', 'tasks']] | [-0.10202847435411581, 0.15443470139453372, -0.10452097862404078, 0.11293274614008818, -0.0798331715285461, -0.26325949858081465, 0.055977753275618984, 0.38819314840626207, -0.31085460791562464, -0.2704227623192871, 0.10368248091470648, -0.20825016176565847, -0.1298578754661882, 0.19670097957404845, -0.14206046509516843, 0.055806107977603346, 0.09192095794021449, 0.03725248369130683, -0.03482430189800885, -0.3323350623646315, 0.3415788075728144, 0.033246399896675126, 0.2626534406234451, 0.03243903254475841, 0.0003983925661428812, -0.030958382883406382, -0.001972751174260803, -0.03060698933760695, -0.12720255149527454, 0.15340039190437466, 0.362206163499108, 0.25319493695736883, 0.27113177282537554, -0.4598924565981043, -0.17320171659416023, 0.18643818215462082, 0.14364487911633989, 0.13577237610700243, 0.021781459365732364, -0.30215358878287707, 0.018517223148398657, -0.1781153375966514, -0.06954990120287588, -0.14810109773571503, 0.01712860904653814, -0.07507443966026953, -0.2606232941418173, 0.06936175177032326, 0.10045245803454197, 0.046373438644916457, 0.02480249455634584, -0.05273099775559843, 0.044305732275577304, 0.17354449626223056, -0.032298666806495256, 0.024972593500972428, 0.09074350213136603, -0.0849087131036287, -0.17729671772054217, 0.3740678694535126, 0.07693517440109529, -0.24896148008918587, 0.20624207150924237, -0.09950990469611072, -0.1656661351568046, 0.012229913568243067, 0.08857468703632897, 0.11059968276048436, -0.1702960832123434, 0.019167058976699024, -0.09738821930628508, 0.1568959628249162, 0.06681343512312371, 0.15332662075710918, 0.17490701948631893, 0.06234289361708897, 0.12181812613717023, 0.1570197975218415, 0.07372740864198893, -0.1073097747489265, -0.28796509499265316, -0.20951037801445482, -0.21439797560278168, 0.10672788590733383, -0.022286249646524394, -0.08345212706889799, 0.37420426173621113, 0.1538349909657127, 0.12664308106685254, 0.022521777357163028, 0.308271220796048, 0.05093348762107161, 0.06749213170854652, 0.12072022903173112, 0.22468716847621142, 0.11512981378473341, 0.0444368728773391, -0.1370198298889668, 0.08222273887293612, 0.0329139193549673] |
708.2397 | On the AAGL Protocol | Recently the AAGL (Anshel-Anshel-Goldfeld-Lemieux) has been proposed which
can be used for RFID tags. We give algorithms for the problem (we call the
MSCSPv) on which the security of the AAGL protocol is based upon. Hence we give
various attacks for general parameters on the recent AAGL protocol proposed.
One of our attacks is a deterministic algorithm which has space complexity and
time complexity both atleast exponentialin the worst case. In a better case
using a probabilistic algorithm the time complexity canbe
O(|XSS(ui')^L5*(n^(1+e)) and the space complexity can be O(|XSS(ui')|^L6),
where the element ui' is part of a public key, n is the index of braid group,
XSS is a summit type set and e is a constant in a limit. The above shows the
AAGL protocol is potentially not significantly more secure as using key
agreement protocols based on the conjugacy problem such as the AAG
(Anshel-Anshel-Goldfeld) protocol because both protocols can be broken with
complexity which do not significantly differ. We think our attacks can be
improved.
| cs.CR | recently the aagl anshelanshelgoldfeldlemieux has been proposed which can be used for rfid tags we give algorithms for the problem we call the mscspv on which the security of the aagl protocol is based upon hence we give various attacks for general parameters on the recent aagl protocol proposed one of our attacks is a deterministic algorithm which has space complexity and time complexity both atleast exponentialin the worst case in a better case using a probabilistic algorithm the time complexity canbe oxssuil5n1e and the space complexity can be oxssuil6 where the element ui is part of a public key n is the index of braid group xss is a summit type set and e is a constant in a limit the above shows the aagl protocol is potentially not significantly more secure as using key agreement protocols based on the conjugacy problem such as the aag anshelanshelgoldfeld protocol because both protocols can be broken with complexity which do not significantly differ we think our attacks can be improved | [['recently', 'the', 'aagl', 'anshelanshelgoldfeldlemieux', 'has', 'been', 'proposed', 'which', 'can', 'be', 'used', 'for', 'rfid', 'tags', 'we', 'give', 'algorithms', 'for', 'the', 'problem', 'we', 'call', 'the', 'mscspv', 'on', 'which', 'the', 'security', 'of', 'the', 'aagl', 'protocol', 'is', 'based', 'upon', 'hence', 'we', 'give', 'various', 'attacks', 'for', 'general', 'parameters', 'on', 'the', 'recent', 'aagl', 'protocol', 'proposed', 'one', 'of', 'our', 'attacks', 'is', 'a', 'deterministic', 'algorithm', 'which', 'has', 'space', 'complexity', 'and', 'time', 'complexity', 'both', 'atleast', 'exponentialin', 'the', 'worst', 'case', 'in', 'a', 'better', 'case', 'using', 'a', 'probabilistic', 'algorithm', 'the', 'time', 'complexity', 'canbe', 'oxssuil5n1e', 'and', 'the', 'space', 'complexity', 'can', 'be', 'oxssuil6', 'where', 'the', 'element', 'ui', 'is', 'part', 'of', 'a', 'public', 'key', 'n', 'is', 'the', 'index', 'of', 'braid', 'group', 'xss', 'is', 'a', 'summit', 'type', 'set', 'and', 'e', 'is', 'a', 'constant', 'in', 'a', 'limit', 'the', 'above', 'shows', 'the', 'aagl', 'protocol', 'is', 'potentially', 'not', 'significantly', 'more', 'secure', 'as', 'using', 'key', 'agreement', 'protocols', 'based', 'on', 'the', 'conjugacy', 'problem', 'such', 'as', 'the', 'aag', 'anshelanshelgoldfeld', 'protocol', 'because', 'both', 'protocols', 'can', 'be', 'broken', 'with', 'complexity', 'which', 'do', 'not', 'significantly', 'differ', 'we', 'think', 'our', 'attacks', 'can', 'be', 'improved']] | [-0.14391676446239493, 0.04217832135036588, -0.1127398106382426, 0.05719899918079715, -0.07584925383950274, -0.20062700046339269, 0.08411986546195818, 0.35329500635182765, -0.23884543608521308, -0.3002201246267015, 0.131346049200687, -0.22429764753941334, -0.14946828612521518, 0.2645114954737382, -0.1376820662256443, 0.07392586141076841, 0.018751195891562735, 0.055374597306504396, -0.02271670548202978, -0.30283641614245643, 0.30273077811932925, 0.055324965478344396, 0.2961702245569816, 0.051828196632083164, 0.05271911916788667, -0.012246089191599325, 0.01693247691304846, 0.023589636084524856, -0.07814541633212657, 0.07513709913544131, 0.26180774670545803, 0.19130719809080332, 0.2715853299268267, -0.3717086476979382, -0.1977376667105339, 0.13740546158373806, 0.1595868756444278, 0.134560305859442, -0.039961715452955106, -0.2858753921943858, 0.10604078778714844, -0.19560744204191546, -0.04854760931198005, -0.04745642436160283, -0.009299432305675565, 0.00865628609758322, -0.2712349002983308, -0.006320866919828184, 0.03668403271021265, 0.014674449260487702, 0.018653104242614724, -0.07905870752733653, 0.02270592211562237, 0.1398002295190412, -0.005757839386492516, 0.046298408262770284, 0.11074206443348279, -0.0635565560593298, -0.167701188957488, 0.39629973396658896, -0.031281821790969735, -0.20489747983149506, 0.15602130716892354, -0.04417155233748031, -0.1738391927330557, 0.10206016195147778, 0.1525242976653813, 0.12238370486902017, -0.0940057097228639, 0.11285497151548043, -0.09434762284508906, 0.22945652422636295, 0.016577069021084093, 0.05280140758713418, 0.08573121147964037, 0.18497302881018682, 0.10758328068239445, 0.11847158431668173, -0.05336683422863257, -0.0579302224895042, -0.24091987721057553, -0.19611110305272494, -0.17895707019999849, 0.021138028351935755, -0.08399359276773986, -0.12103240134081605, 0.3931902501224117, 0.15028370015718268, 0.15382613924642405, 0.0810443151431779, 0.33509401322314236, 0.09575945416008559, 0.06598719196591639, 0.14100928077135574, 0.20963752067393876, 0.04940265258844716, 0.08271393411595261, -0.1719114573869967, 0.18033266502757078, 0.0886159040936918] |
708.2398 | A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes | Recent progress in unitarity techniques for one-loop scattering amplitudes
makes a numerical implementation of this method possible. We present a
4-dimensional unitarity method for calculating the cut-constructible part of
amplitudes and implement the method in a numerical procedure. Our technique can
be applied to any one-loop scattering amplitude and offers the possibility that
one-loop calculations can be performed in an automatic fashion, as tree-level
amplitudes are currently done. Instead of individual Feynman diagrams, the
ingredients for our one-loop evaluation are tree-level amplitudes, which are
often already known. To study the practicality of this method we evaluate the
cut-constructible part of the 4, 5 and 6 gluon one-loop amplitudes numerically,
using the analytically known 4, 5 and 6 gluon tree-level amplitudes.
Comparisons with analytic answers are performed to ascertain the numerical
accuracy of the method.
| hep-ph | recent progress in unitarity techniques for oneloop scattering amplitudes makes a numerical implementation of this method possible we present a 4dimensional unitarity method for calculating the cutconstructible part of amplitudes and implement the method in a numerical procedure our technique can be applied to any oneloop scattering amplitude and offers the possibility that oneloop calculations can be performed in an automatic fashion as treelevel amplitudes are currently done instead of individual feynman diagrams the ingredients for our oneloop evaluation are treelevel amplitudes which are often already known to study the practicality of this method we evaluate the cutconstructible part of the 4 5 and 6 gluon oneloop amplitudes numerically using the analytically known 4 5 and 6 gluon treelevel amplitudes comparisons with analytic answers are performed to ascertain the numerical accuracy of the method | [['recent', 'progress', 'in', 'unitarity', 'techniques', 'for', 'oneloop', 'scattering', 'amplitudes', 'makes', 'a', 'numerical', 'implementation', 'of', 'this', 'method', 'possible', 'we', 'present', 'a', '4dimensional', 'unitarity', 'method', 'for', 'calculating', 'the', 'cutconstructible', 'part', 'of', 'amplitudes', 'and', 'implement', 'the', 'method', 'in', 'a', 'numerical', 'procedure', 'our', 'technique', 'can', 'be', 'applied', 'to', 'any', 'oneloop', 'scattering', 'amplitude', 'and', 'offers', 'the', 'possibility', 'that', 'oneloop', 'calculations', 'can', 'be', 'performed', 'in', 'an', 'automatic', 'fashion', 'as', 'treelevel', 'amplitudes', 'are', 'currently', 'done', 'instead', 'of', 'individual', 'feynman', 'diagrams', 'the', 'ingredients', 'for', 'our', 'oneloop', 'evaluation', 'are', 'treelevel', 'amplitudes', 'which', 'are', 'often', 'already', 'known', 'to', 'study', 'the', 'practicality', 'of', 'this', 'method', 'we', 'evaluate', 'the', 'cutconstructible', 'part', 'of', 'the', '4', '5', 'and', '6', 'gluon', 'oneloop', 'amplitudes', 'numerically', 'using', 'the', 'analytically', 'known', '4', '5', 'and', '6', 'gluon', 'treelevel', 'amplitudes', 'comparisons', 'with', 'analytic', 'answers', 'are', 'performed', 'to', 'ascertain', 'the', 'numerical', 'accuracy', 'of', 'the', 'method']] | [-0.10605318741455896, 0.1278836232682372, -0.11159591292684425, 0.1430221879628918, -0.04900714354033568, -0.08585030293620344, 0.07301098379695704, 0.39302148211246996, -0.15228905930503536, -0.28463271914272387, 0.07464136729979498, -0.25160257487971366, -0.20107435580315208, 0.21696758013976208, 0.043357068068111564, 0.12532611487349912, 0.0833970844908965, -0.0021006773267664126, -0.1014017220504005, -0.3119917267850086, 0.2851881232084845, 0.018484884351769936, 0.21926622145371372, 0.13360465699528803, 0.03369961641277117, 0.03405810955828473, -0.13097977531212035, -0.04963012969159563, -0.0721002476859022, 0.11007690544929981, 0.2507752136782562, 0.10371142078021414, 0.1323599356588032, -0.40448695705480764, -0.12642071717905243, 0.03124883863553683, 0.21551710195533597, 0.1970225769788402, 0.0035102987286648644, -0.2335045166424851, 0.08530112542385763, -0.2034411383375748, -0.19512067795661625, -0.18349269413347566, -0.019243624476184235, -0.12263091613969473, -0.2985903169653976, 0.046631788744577275, -0.06065418956794345, 0.03335681043467754, 0.03149354528051926, -0.1490477552679159, 0.00675079917253704, 0.12763198832425274, 0.05048850968265849, 0.060950473133377286, 0.08889234099717838, -0.1520130598387979, -0.18018202017992735, 0.35756621790924736, -0.041535514436832476, -0.2024347259273836, 0.13854148147850118, -0.14297544850564714, -0.14714308624041142, 0.1805662181166065, 0.12841547828918295, 0.15385120276903816, -0.21187249359104837, 0.1630076848147715, 0.039107122889428, 0.15134599143222197, 0.12606076720003873, -0.030484671162357972, 0.14830023141355433, 0.14014844623144104, -0.06585456672082864, 0.11755542112896636, -0.07084667337571841, -0.058166031416856556, -0.39121993990448206, -0.07476719192910328, -0.091953623817483, 0.011756619414203424, -0.10894480371220495, -0.16059263347328376, 0.3581860323728465, 0.19714204041259503, 0.1444276458583338, 0.10965573953885112, 0.3847641404996167, 0.15287777389931395, 0.09628829033350322, 0.046328449399391215, 0.27869929806694194, 0.14878818923051454, 0.06512768751135402, -0.2490656520648331, -0.024440885338160807, 0.146641090172369] |
708.2399 | X-ray flaring from the young stars in CygnusOB2 | Aims: We characterize individual and ensemble properties of X-ray flares from
stars in the CygOB2 and ONC star-forming regions. Method: We analyzed X-ray
lightcurves of 1003 CygOB2 sources observed with Chandra for 100 ksec and of
1616 ONC sources detected in the ``Chandra Orion Ultra-deep Project'' 850 ksec
observation. We employed a binning-free maximum likelihood method to segment
the light-curves into intervals of constants signal and identified flares on
the basis of both the amplitude and the time-derivative of the source
luminosity. We then derived and compared the flare frequency and energy
distribution of CygOB2 and ONC sources. The effect of the length of the
observation on these results was investigated by repeating the statistical
analysis on five 100 ksec-long segments extracted from the ONC data. Results:
We detected 147 and 954 flares from the CygOB2 and ONC sources, respectively.
The flares in CygOB2 have decay times ranging from ~0.5 to about 10 hours. The
flare energy distributions of all considered flare samples are described at
high energies well by a power law with index alpha=-(2.1+-0.1). At low
energies, the distributions flatten, probably because of detection
incompleteness. We derived average flare frequencies as a function of flare
energy. The flare frequency is seen to depend on the source's intrinsic X-ray
luminosity, but its determination is affected by the length of the observation.
The slope of the high-energy tail of the energy distribution is, however,
affected little. A comparison of CygOB2 and ONC sources, accounting for
observational biases, shows that the two populations, known to have similar
X-ray emission levels, have very similar flare activity.
| astro-ph | aims we characterize individual and ensemble properties of xray flares from stars in the cygob2 and onc starforming regions method we analyzed xray lightcurves of 1003 cygob2 sources observed with chandra for 100 ksec and of 1616 onc sources detected in the chandra orion ultradeep project 850 ksec observation we employed a binningfree maximum likelihood method to segment the lightcurves into intervals of constants signal and identified flares on the basis of both the amplitude and the timederivative of the source luminosity we then derived and compared the flare frequency and energy distribution of cygob2 and onc sources the effect of the length of the observation on these results was investigated by repeating the statistical analysis on five 100 kseclong segments extracted from the onc data results we detected 147 and 954 flares from the cygob2 and onc sources respectively the flares in cygob2 have decay times ranging from 05 to about 10 hours the flare energy distributions of all considered flare samples are described at high energies well by a power law with index alpha2101 at low energies the distributions flatten probably because of detection incompleteness we derived average flare frequencies as a function of flare energy the flare frequency is seen to depend on the sources intrinsic xray luminosity but its determination is affected by the length of the observation the slope of the highenergy tail of the energy distribution is however affected little a comparison of cygob2 and onc sources accounting for observational biases shows that the two populations known to have similar xray emission levels have very similar flare activity | [['aims', 'we', 'characterize', 'individual', 'and', 'ensemble', 'properties', 'of', 'xray', 'flares', 'from', 'stars', 'in', 'the', 'cygob2', 'and', 'onc', 'starforming', 'regions', 'method', 'we', 'analyzed', 'xray', 'lightcurves', 'of', '1003', 'cygob2', 'sources', 'observed', 'with', 'chandra', 'for', 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708.24 | Spitzer Spectra of a 10 mJy Galaxy Sample and the Star Formation Rate in
the Local Universe | A complete flux-limited sample of 50 galaxies is presented having
f_{\nu}(24um) > 10mJy, chosen from a survey with the Multiband Imaging
Photometer on Spitzer (MIPS) of 8.2 deg^{2} within the NOAO Deep Wide-Field
Survey region in Bootes (NDWFS). Spectra obtained with the low-resolution
modules of the Infrared Spectrograph on Spitzer (IRS) are described for 36
galaxies within this sample; 25 show strong PAH emission features
characteristic of starbursts, and 11 show silicate absorption or emission,
emission lines, or featureless spectra characteristic of AGN. Infrared or
optical spectral classifications are available for 48 of the entire sample of
50; 33 galaxies are classified as starbursts and 15 as AGN. (There are an
additional 19 Galactic stars with f_{\nu}(24um) > 10mJy in the survey area.)
Using a relation between 7.7um PAH luminosity and star formation rate derived
from previous IRS observations of starbursts, the star formation rate per unit
volume of the local universe (SFRD) is determined from the complete sample and
is found to be 0.008 \mdot Mpc^{-3}. Individual sources in the sample have star
formation rates from 0.14 to 160 \mdot. The derived value for the local SFRD is
about half that of the local SFRD deduced from bolometric luminosities of the
IRAS 60um Bright Galaxy Sample, with the deficiency being at lower luminosities
and arising primarily from the small number of low luminosity sources in the 10
mJy sample. The agreement for higher luminosities confirms the validity of
using the 7.7um PAH feature as a measure of SFRD in the high redshift universe,
where this is often the only indicator available for faint sources.
| astro-ph | a complete fluxlimited sample of 50 galaxies is presented having f_nu24um 10mjy chosen from a survey with the multiband imaging photometer on spitzer mips of 82 deg2 within the noao deep widefield survey region in bootes ndwfs spectra obtained with the lowresolution modules of the infrared spectrograph on spitzer irs are described for 36 galaxies within this sample 25 show strong pah emission features characteristic of starbursts and 11 show silicate absorption or emission emission lines or featureless spectra characteristic of agn infrared or optical spectral classifications are available for 48 of the entire sample of 50 33 galaxies are classified as starbursts and 15 as agn there are an additional 19 galactic stars with f_nu24um 10mjy in the survey area using a relation between 77um pah luminosity and star formation rate derived from previous irs observations of starbursts the star formation rate per unit volume of the local universe sfrd is determined from the complete sample and is found to be 0008 mdot mpc3 individual sources in the sample have star formation rates from 014 to 160 mdot the derived value for the local sfrd is about half that of the local sfrd deduced from bolometric luminosities of the iras 60um bright galaxy sample with the deficiency being at lower luminosities and arising primarily from the small number of low luminosity sources in the 10 mjy sample the agreement for higher luminosities confirms the validity of using the 77um pah feature as a measure of sfrd in the high redshift universe where this is often the only indicator available for faint sources | [['a', 'complete', 'fluxlimited', 'sample', 'of', '50', 'galaxies', 'is', 'presented', 'having', 'f_nu24um', '10mjy', 'chosen', 'from', 'a', 'survey', 'with', 'the', 'multiband', 'imaging', 'photometer', 'on', 'spitzer', 'mips', 'of', '82', 'deg2', 'within', 'the', 'noao', 'deep', 'widefield', 'survey', 'region', 'in', 'bootes', 'ndwfs', 'spectra', 'obtained', 'with', 'the', 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708.2401 | Hydrodynamics of self-propelled hard rods | Motivated by recent simulations and by experiments on aggregation of gliding
bacteria, we study a model of the collective dynamics of self-propelled hard
rods on a substrate in two dimensions. The rods have finite size, interact via
excluded volume and their dynamics is overdamped by the interaction with the
substrate. Starting from a microscopic model with non-thermal noise sources, a
continuum description of the system is derived. The hydrodynamic equations are
then used to characterize the possible steady states of the systems and their
stability as a function of the particles packing fraction and the speed of self
propulsion.
| cond-mat.soft cond-mat.stat-mech | motivated by recent simulations and by experiments on aggregation of gliding bacteria we study a model of the collective dynamics of selfpropelled hard rods on a substrate in two dimensions the rods have finite size interact via excluded volume and their dynamics is overdamped by the interaction with the substrate starting from a microscopic model with nonthermal noise sources a continuum description of the system is derived the hydrodynamic equations are then used to characterize the possible steady states of the systems and their stability as a function of the particles packing fraction and the speed of self propulsion | [['motivated', 'by', 'recent', 'simulations', 'and', 'by', 'experiments', 'on', 'aggregation', 'of', 'gliding', 'bacteria', 'we', 'study', 'a', 'model', 'of', 'the', 'collective', 'dynamics', 'of', 'selfpropelled', 'hard', 'rods', 'on', 'a', 'substrate', 'in', 'two', 'dimensions', 'the', 'rods', 'have', 'finite', 'size', 'interact', 'via', 'excluded', 'volume', 'and', 'their', 'dynamics', 'is', 'overdamped', 'by', 'the', 'interaction', 'with', 'the', 'substrate', 'starting', 'from', 'a', 'microscopic', 'model', 'with', 'nonthermal', 'noise', 'sources', 'a', 'continuum', 'description', 'of', 'the', 'system', 'is', 'derived', 'the', 'hydrodynamic', 'equations', 'are', 'then', 'used', 'to', 'characterize', 'the', 'possible', 'steady', 'states', 'of', 'the', 'systems', 'and', 'their', 'stability', 'as', 'a', 'function', 'of', 'the', 'particles', 'packing', 'fraction', 'and', 'the', 'speed', 'of', 'self', 'propulsion']] | [-0.13206104287934123, 0.20916365776587315, -0.09625356655680772, 0.00024772175079719585, 0.008644480380521279, -0.10546700020951003, 0.05273702220445631, 0.35880444051152227, -0.2609309956309094, -0.29215459448445324, 0.06243280402144812, -0.3014683155625155, -0.1268052129319521, 0.1430715258477839, 0.02031484678989709, 0.06075139469325994, 0.029840493219612976, -0.009219582815833315, 0.03683586168335751, -0.18649923264500545, 0.27338567743256614, 0.059290790648171394, 0.2517536378587888, 0.04500632327181673, 0.15615100420145978, -0.010663718537831999, 0.006172630136286971, 0.07254334065987907, -0.16664299519845482, 0.10746765611493359, 0.14873308738319654, 0.022364369979259942, 0.21754261441152506, -0.47441707961637564, -0.24625784378837456, 0.07009554080514595, 0.13861244118236232, 0.12727089466131997, -0.03697003371721943, -0.2709506995096389, 0.032291224748460634, -0.16566098838894053, -0.16262307752281277, -0.050355601886456665, 0.031190838269663578, 0.11192643542002623, -0.19249323620037598, 0.11119024580194041, 0.054568436937500735, 0.05348770333585715, -0.108810960018838, -0.05088079752132409, -0.05169997766914994, 0.11377612487859835, 0.05057808584204376, -0.041340170609247356, 0.22413353048584828, -0.16225922143209087, -0.12596771086688446, 0.4316015425655577, -0.0367351129646366, -0.24093171527533971, 0.28021178886322584, -0.12143220738837063, -0.05574818375529816, 0.1799943158967477, 0.2108645923341615, 0.10343595502916912, -0.16970515218234122, 0.05750742486696878, -0.0475299097597599, 0.17029404384319227, 0.030388818228278647, -0.03875603913470651, 0.23357727325925923, 0.22039074917333296, 0.014578362656380944, 0.17109168155266988, -0.060392577290497344, -0.12782281656065164, -0.2687155707560555, -0.11597680001322067, -0.21017315178507506, 0.0441092533021789, -0.08906158669369596, -0.15693087379549245, 0.35279102709069093, 0.09720150140499828, 0.2065895732887315, 0.08254317322868214, 0.27478003706971205, 0.06474801661173879, 0.012671856101451799, 0.01624389211976468, 0.2616969081338006, 0.14437921706474188, 0.09068282272059922, -0.26325490073808894, 0.04129761508830607, 0.06796544324606657] |
708.2402 | Black strings in AdS_5 | We present non-extremal magnetic black string solutions in five-dimensional
gauged supergravity. The conformal infinity is the product of time and S^1xS_h,
where S_h denotes a compact Riemann surface of genus h. The construction is
based on both analytical and numerical techniques. We compute the holographic
stress tensor, the Euclidean action and the conserved charges of the solutions
and show that the latter satisfy a Smarr-type formula. The phase structure is
determined in the canonical ensemble, and it is shown that there is a first
order phase transition from small to large black strings, which disappears
above a certain critical magnetic charge that is obtained numerically. For
another particular value of the magnetic charge, that corresponds to a twisting
of the dual super Yang-Mills theory, the conformal anomalies coming from the
background curvature and those arising from the coupling to external gauge
fields exactly cancel. We also obtain supersymmetric solutions describing waves
propagating on extremal BPS magnetic black strings, and show that they possess
a Siklos-Virasoro reparametrization invariance.
| hep-th gr-qc | we present nonextremal magnetic black string solutions in fivedimensional gauged supergravity the conformal infinity is the product of time and s1xs_h where s_h denotes a compact riemann surface of genus h the construction is based on both analytical and numerical techniques we compute the holographic stress tensor the euclidean action and the conserved charges of the solutions and show that the latter satisfy a smarrtype formula the phase structure is determined in the canonical ensemble and it is shown that there is a first order phase transition from small to large black strings which disappears above a certain critical magnetic charge that is obtained numerically for another particular value of the magnetic charge that corresponds to a twisting of the dual super yangmills theory the conformal anomalies coming from the background curvature and those arising from the coupling to external gauge fields exactly cancel we also obtain supersymmetric solutions describing waves propagating on extremal bps magnetic black strings and show that they possess a siklosvirasoro reparametrization invariance | [['we', 'present', 'nonextremal', 'magnetic', 'black', 'string', 'solutions', 'in', 'fivedimensional', 'gauged', 'supergravity', 'the', 'conformal', 'infinity', 'is', 'the', 'product', 'of', 'time', 'and', 's1xs_h', 'where', 's_h', 'denotes', 'a', 'compact', 'riemann', 'surface', 'of', 'genus', 'h', 'the', 'construction', 'is', 'based', 'on', 'both', 'analytical', 'and', 'numerical', 'techniques', 'we', 'compute', 'the', 'holographic', 'stress', 'tensor', 'the', 'euclidean', 'action', 'and', 'the', 'conserved', 'charges', 'of', 'the', 'solutions', 'and', 'show', 'that', 'the', 'latter', 'satisfy', 'a', 'smarrtype', 'formula', 'the', 'phase', 'structure', 'is', 'determined', 'in', 'the', 'canonical', 'ensemble', 'and', 'it', 'is', 'shown', 'that', 'there', 'is', 'a', 'first', 'order', 'phase', 'transition', 'from', 'small', 'to', 'large', 'black', 'strings', 'which', 'disappears', 'above', 'a', 'certain', 'critical', 'magnetic', 'charge', 'that', 'is', 'obtained', 'numerically', 'for', 'another', 'particular', 'value', 'of', 'the', 'magnetic', 'charge', 'that', 'corresponds', 'to', 'a', 'twisting', 'of', 'the', 'dual', 'super', 'yangmills', 'theory', 'the', 'conformal', 'anomalies', 'coming', 'from', 'the', 'background', 'curvature', 'and', 'those', 'arising', 'from', 'the', 'coupling', 'to', 'external', 'gauge', 'fields', 'exactly', 'cancel', 'we', 'also', 'obtain', 'supersymmetric', 'solutions', 'describing', 'waves', 'propagating', 'on', 'extremal', 'bps', 'magnetic', 'black', 'strings', 'and', 'show', 'that', 'they', 'possess', 'a', 'siklosvirasoro', 'reparametrization', 'invariance']] | [-0.17385998124073287, 0.18533069407285163, -0.061804889944015125, 0.10015261014500125, -0.08247646564109759, -0.12614390831440686, -0.02415326708631421, 0.295911968632065, -0.20177220248363234, -0.2461003463094433, 0.09437144961010552, -0.3088460346401641, -0.16841763228911794, 0.1341381814951698, -0.02186017156098828, 0.029943615570664404, -0.009998433195957631, 0.10549938523803246, -0.1304060827340987, -0.20258429002891662, 0.3559148204287119, 0.004118337857256516, 0.2897080303649559, 0.05142747263395877, 0.13173062463721374, -0.038007140494036404, 0.035688990673445393, 0.059786522457601896, -0.15518216656659425, 0.08167214716615324, 0.20701219810342247, 0.0726181361972439, 0.10809156636475536, -0.4348883634715369, -0.20328519945861911, 0.11363054316942439, 0.13468565389259973, 0.15579837162372176, -0.05159233694994879, -0.2532733137662889, 0.08956088117089221, -0.13395437114928482, -0.16090632290791043, -0.09364071559358501, 0.032601884868221756, -0.05411846382317669, -0.25297268172055765, 0.08174556436451068, 0.04856709334223221, -0.009613580815670448, -0.10811260668278644, -0.05261278888633983, -0.0990805990344873, 0.08514157641735492, 0.1561074922397507, 0.09323770846099114, 0.14208544291781658, -0.15946573752514792, -0.10435451170937582, 0.3360950420046169, -0.0733978581283185, -0.22363885509213574, 0.13052949477410453, -0.17982642577227317, -0.13272955621395147, 0.13323345243874374, 0.10321443788142819, 0.1950207574123686, -0.10076960369866962, 0.19924124208398897, -0.03895898965102705, 0.13074824991565423, 0.1272312293619369, 0.009502347874822039, 0.26495688373618054, 0.07436204343737865, 0.061426538118570476, 0.18263342603476662, -0.050047049583923635, -0.10766018246667403, -0.39970037761059674, -0.15232253031766352, -0.16987448783563167, 0.13300179249861024, -0.1677707314315767, -0.21392993353585937, 0.36556545807274454, 0.11561897418966206, 0.16437246773434294, 0.06782602259790468, 0.21489732579158788, 0.1337657814774888, 0.07689837782333295, 0.09767923574845279, 0.26171926659122674, 0.18178971852317, 0.08224815108644014, -0.2509558456039733, -0.11155454655826995, 0.1741469250625056] |
708.2403 | Metrics and isospectral partners for the most generic cubic PT-symmetric
non-Hermitian Hamiltonian | We investigate properties of the most general PT-symmetric non-Hermitian
Hamiltonian of cubic order in the annihilation and creation operators as a ten
parameter family. For various choices of the parameters we systematically
construct an exact expression for a metric operator and an isospectral
Hermitian counterpart in the same similarity class by exploiting the
isomorphism between operator and Moyal products. We elaborate on the subtleties
of this approach. For special choices of the ten parameters the Hamiltonian
reduces to various models previously studied, such as to the complex cubic
potential, the so-called Swanson Hamiltonian or the transformed version of the
from below unbounded quartic -x^4-potential. In addition, it also reduces to
various models not considered in the present context, namely the single site
lattice Reggeon model and a transformed version of the massive sextic
x^6-potential, which plays an important role as a toy modelto identify theories
with vanishing cosmological constant.
| quant-ph hep-th | we investigate properties of the most general ptsymmetric nonhermitian hamiltonian of cubic order in the annihilation and creation operators as a ten parameter family for various choices of the parameters we systematically construct an exact expression for a metric operator and an isospectral hermitian counterpart in the same similarity class by exploiting the isomorphism between operator and moyal products we elaborate on the subtleties of this approach for special choices of the ten parameters the hamiltonian reduces to various models previously studied such as to the complex cubic potential the socalled swanson hamiltonian or the transformed version of the from below unbounded quartic x4potential in addition it also reduces to various models not considered in the present context namely the single site lattice reggeon model and a transformed version of the massive sextic x6potential which plays an important role as a toy modelto identify theories with vanishing cosmological constant | [['we', 'investigate', 'properties', 'of', 'the', 'most', 'general', 'ptsymmetric', 'nonhermitian', 'hamiltonian', 'of', 'cubic', 'order', 'in', 'the', 'annihilation', 'and', 'creation', 'operators', 'as', 'a', 'ten', 'parameter', 'family', 'for', 'various', 'choices', 'of', 'the', 'parameters', 'we', 'systematically', 'construct', 'an', 'exact', 'expression', 'for', 'a', 'metric', 'operator', 'and', 'an', 'isospectral', 'hermitian', 'counterpart', 'in', 'the', 'same', 'similarity', 'class', 'by', 'exploiting', 'the', 'isomorphism', 'between', 'operator', 'and', 'moyal', 'products', 'we', 'elaborate', 'on', 'the', 'subtleties', 'of', 'this', 'approach', 'for', 'special', 'choices', 'of', 'the', 'ten', 'parameters', 'the', 'hamiltonian', 'reduces', 'to', 'various', 'models', 'previously', 'studied', 'such', 'as', 'to', 'the', 'complex', 'cubic', 'potential', 'the', 'socalled', 'swanson', 'hamiltonian', 'or', 'the', 'transformed', 'version', 'of', 'the', 'from', 'below', 'unbounded', 'quartic', 'x4potential', 'in', 'addition', 'it', 'also', 'reduces', 'to', 'various', 'models', 'not', 'considered', 'in', 'the', 'present', 'context', 'namely', 'the', 'single', 'site', 'lattice', 'reggeon', 'model', 'and', 'a', 'transformed', 'version', 'of', 'the', 'massive', 'sextic', 'x6potential', 'which', 'plays', 'an', 'important', 'role', 'as', 'a', 'toy', 'modelto', 'identify', 'theories', 'with', 'vanishing', 'cosmological', 'constant']] | [-0.11017802059428677, 0.08835408581261599, -0.011366557035291073, 0.10425257525600011, -0.0828906656417134, -0.1367361751815849, -0.01196707713696472, 0.3272035999008182, -0.24863939222699144, -0.2889847062452107, 0.0845163103658706, -0.2665809611774043, -0.20089231068616872, 0.17737315258733471, -0.00941532101722903, 0.04871826734612411, 0.026179610919460757, 0.07697478941400998, -0.12078677823602342, -0.23710833747117294, 0.3739374305381357, 0.05698871674953776, 0.2231701789613889, 0.0418658663905194, 0.08581370312473452, 0.05701525464375205, 0.0032570978442878545, -0.01736427066835011, -0.14038179287026464, 0.10503968668366674, 0.18958341506957022, 0.07120307654674564, 0.22607443009686917, -0.3954412872098437, -0.22108978767511847, 0.1603968843348882, 0.13380720793763745, 0.12567589224037418, -0.03017699998584861, -0.268459258151247, 0.005031483235205112, -0.19723254465656417, -0.17755340007102105, -0.0819854765693296, 0.025316836654531712, -0.026235987201054283, -0.24175991034642064, 0.031175720049060412, 0.05836080437800118, 0.028064927241454523, -0.08163103103783413, -0.09847589605567077, -0.03392160556763791, 0.09016725162303924, 0.024426114472218464, 0.013961326910600978, 0.06642979086807542, -0.13099272509713714, -0.11465121436940164, 0.43028582593380177, -0.08165307184380359, -0.24921435923600682, 0.13873414466550357, -0.06489252395647559, -0.16685463633185543, 0.057023925208613324, 0.13987288052662827, 0.13513001060544128, -0.1649762490498168, 0.1616626851035751, -0.024971939100674828, 0.11614240651798187, 0.06479964126487991, 0.04694511448421205, 0.15085502819722, 0.09805804657984246, 0.04387003913851214, 0.17762217428661933, -0.010474289281192381, -0.17220350054605882, -0.3248689828985402, -0.1363876743129689, -0.13381351458010118, 0.06839578728309158, -0.14685533676402593, -0.19716200535344022, 0.43577579016714885, 0.11762427234369628, 0.21691413769865928, 0.006783468649583254, 0.2100357543043539, 0.146937673056948, 0.10149031272633191, 0.017318321939963265, 0.2298114541949717, 0.14345733750592538, 0.061178453725946394, -0.2058203820753716, -0.014742631107239293, 0.13034331073214736] |
708.2404 | Unquenching Effects on the Coefficients of the L\"uscher-Weisz Action | The effects of unquenching on the perturbative improvement coefficients in
the Symanzik action are computed within the framework of L\"uscher-Weisz
on-shell improvement. We find that the effects of quark loops are surprisingly
large, and their omission may well explain the scaling violations observed in
some unquenched studies.
| hep-lat | the effects of unquenching on the perturbative improvement coefficients in the symanzik action are computed within the framework of luscherweisz onshell improvement we find that the effects of quark loops are surprisingly large and their omission may well explain the scaling violations observed in some unquenched studies | [['the', 'effects', 'of', 'unquenching', 'on', 'the', 'perturbative', 'improvement', 'coefficients', 'in', 'the', 'symanzik', 'action', 'are', 'computed', 'within', 'the', 'framework', 'of', 'luscherweisz', 'onshell', 'improvement', 'we', 'find', 'that', 'the', 'effects', 'of', 'quark', 'loops', 'are', 'surprisingly', 'large', 'and', 'their', 'omission', 'may', 'well', 'explain', 'the', 'scaling', 'violations', 'observed', 'in', 'some', 'unquenched', 'studies']] | [-0.14046657323203188, 0.19982777876739807, -0.0965047388515891, 0.1353773154080548, -0.033389444443139626, -0.01848019308787077, 0.09313635543939915, 0.37034100562611477, -0.15619941872168094, -0.3169771900791873, 0.056641440972329135, -0.2993171425496644, -0.1297820075910459, 0.1367315276070161, -0.034574690834678554, 0.07094584809655839, 0.08639048606632872, 0.0023101929159081995, -0.13558327065325004, -0.29192922056276116, 0.26415790768062813, 0.03290127361431084, 0.24640785078419017, 0.18074056062292546, 0.042141631503212956, -0.023552657516197638, -0.10747797225423633, 0.027248418632339923, -0.05104175152611904, 0.058715113379219745, 0.1740823018852562, 0.011619933197235173, 0.15092776868333843, -0.40375466137490373, -0.20828594696866545, 0.039024316715671026, 0.1478058884930896, 0.152745572126847, -0.0029436195036396384, -0.24677599966526031, 0.06302979514696339, -0.22318271714005064, -0.1432024100993542, -0.1552875768393278, -0.02213455656384851, -0.06185338257792148, -0.2988287610735031, 0.1155053612161824, -0.013152890687590426, 0.05344931101624636, 0.003788424556718228, -0.20689149113728644, -0.007886636392906942, 0.1512847101375302, 0.15587282280110695, 0.037803820066867354, 0.13566840456877935, -0.2132049474587783, -0.16152708688156403, 0.42340816030318434, -0.09767554466057807, -0.19022132312145798, 0.13081707891406233, -0.21846995142070538, -0.19745257276883152, 0.08151829323949332, 0.18426034464798074, 0.08843959744108167, -0.1527843549054988, 0.12396796723267936, -0.0408976099533128, 0.09070448752274697, 0.08176144617213373, 0.08353062874657359, 0.15466620115206597, 0.10840567693788003, -0.08327216781834339, 0.09635298848251238, -0.015040017857632421, -0.16368656300325343, -0.3856832464324667, -0.0425158402228609, -0.06360565510360484, 0.021985502329040715, -0.16096892474346763, -0.14656567825202613, 0.35075517149364693, 0.20038077134411147, 0.19875383940822583, 0.05189909739915202, 0.2440253975008555, 0.12402335736662784, 0.17344177553450016, 0.07073926495417873, 0.3211799589254487, 0.11918376715100826, 0.051269979166619954, -0.3406718647147113, 0.036639223776836975, 0.0936175923635985] |
708.2405 | PT-symmetry and Integrability | We briefly explain some simple arguments based on pseudo Hermiticity,
supersymmetry and PT-symmetry which explain the reality of the spectrum of some
non-Hermitian Hamiltonians. Subsequently we employ PT-symmetry as a guiding
principle to construct deformations of some integrable systems, the
Calogero-Moser-Sutherland model and the Korteweg deVries equation. Some
properties of these models are discussed.
| quant-ph hep-th | we briefly explain some simple arguments based on pseudo hermiticity supersymmetry and ptsymmetry which explain the reality of the spectrum of some nonhermitian hamiltonians subsequently we employ ptsymmetry as a guiding principle to construct deformations of some integrable systems the calogeromosersutherland model and the korteweg devries equation some properties of these models are discussed | [['we', 'briefly', 'explain', 'some', 'simple', 'arguments', 'based', 'on', 'pseudo', 'hermiticity', 'supersymmetry', 'and', 'ptsymmetry', 'which', 'explain', 'the', 'reality', 'of', 'the', 'spectrum', 'of', 'some', 'nonhermitian', 'hamiltonians', 'subsequently', 'we', 'employ', 'ptsymmetry', 'as', 'a', 'guiding', 'principle', 'to', 'construct', 'deformations', 'of', 'some', 'integrable', 'systems', 'the', 'calogeromosersutherland', 'model', 'and', 'the', 'korteweg', 'devries', 'equation', 'some', 'properties', 'of', 'these', 'models', 'are', 'discussed']] | [-0.13092496432363987, 0.11610869049198097, -0.08581294888561522, 0.16481553834940618, -0.1370916093044259, -0.23518869830122976, -0.048174181711618545, 0.3596312114623962, -0.25431631286456075, -0.22261478744999127, 0.17028322762430267, -0.23171122013418763, -0.25948587438971216, 0.12706464090539762, -0.07173728461687763, 0.11350897684072454, 0.007605988441759514, 0.029621208914452128, -0.11783594517382207, -0.1872138253033713, 0.35202154191210866, 0.0018274724069568845, 0.18244028358754735, 0.033950285294041455, 0.08777304476609936, -0.004138402709806407, 0.06738001597976243, -0.07012878195382655, -0.1810469080142125, 0.09947667532833293, 0.18356030760636108, 0.10562726509481392, 0.18360161815804463, -0.45043195963457777, -0.23848757440983145, 0.11060176831152704, 0.12251094296678072, 0.15088106987402877, -0.041441998041355635, -0.3461786964563308, 0.010489905270299426, -0.1750972372721191, -0.26375040348136314, -0.1279597722545818, -0.04496324507312642, 0.03727761045512226, -0.17336128349847127, 0.05729365419527447, 0.10476321844315087, 0.05535600731080329, -0.12978128096438013, -0.08378664256694417, -0.08621540283611803, -0.04117186531355536, 0.04434293991222081, -0.14418760615538945, 0.07718051217185955, -0.08753345740303674, -0.15353671726943166, 0.431501549146897, 0.040822826170672975, -0.24446331350891679, 0.17942960816004347, -0.06713850727235829, -0.21449481936482093, 0.033014952172783926, 0.13478478868664415, 0.07224910075051917, -0.173359842988214, 0.13493049993067635, -0.041149150952050045, 0.0913101560091255, 0.045457689151926724, 0.08599547341603923, 0.17382607667672414, 0.08842195332464245, -0.009500142876748685, 0.08321632322406879, 0.04215054889640736, -0.1620048615495088, -0.40810042324786383, -0.1072452671273991, -0.17240665366666186, 0.07458976262973414, -0.05495083392371372, -0.16603547279481534, 0.41467397770395986, 0.2080269780449776, 0.2285457477663402, 0.05023520744914465, 0.1608781440149027, 0.1915796737475493, 0.04875044048660331, -0.003480349494903176, 0.26021788018988445, 0.20736489948575143, 0.14008982901254463, -0.2391750810029744, -0.10487452255889636, 0.1417362040590012] |
708.2406 | On rectangular diagrams, Legendrian knots and transverse knots | A correspondence is studied by H. Matsuda between front projections of
Legendrian links in the standard contact structure for 3-space and rectangular
diagrams. In this paper, we introduce braided rectangular diagrams, and study a
relationship with Legendrian links in the standard contact structure for
3-space. We show Alexander and Markov Theorems for Legendrian links in 3-space.
| math.GT math.AT | a correspondence is studied by h matsuda between front projections of legendrian links in the standard contact structure for 3space and rectangular diagrams in this paper we introduce braided rectangular diagrams and study a relationship with legendrian links in the standard contact structure for 3space we show alexander and markov theorems for legendrian links in 3space | [['a', 'correspondence', 'is', 'studied', 'by', 'h', 'matsuda', 'between', 'front', 'projections', 'of', 'legendrian', 'links', 'in', 'the', 'standard', 'contact', 'structure', 'for', '3space', 'and', 'rectangular', 'diagrams', 'in', 'this', 'paper', 'we', 'introduce', 'braided', 'rectangular', 'diagrams', 'and', 'study', 'a', 'relationship', 'with', 'legendrian', 'links', 'in', 'the', 'standard', 'contact', 'structure', 'for', '3space', 'we', 'show', 'alexander', 'and', 'markov', 'theorems', 'for', 'legendrian', 'links', 'in', '3space']] | [-0.271637844936257, 0.07237167521296735, -0.027599249966442585, 0.1223919444850513, -0.07550881417202097, -0.17113577752440637, 0.052560786993126385, 0.44646607286163736, -0.29490833717032466, -0.25290302992133157, 0.019500691385474056, -0.25278060963111265, -0.24288205968748247, 0.11831717918227826, -0.14334806633581007, 0.00803813519555011, 0.12037771315746275, 0.022935732550519918, -0.11746711302216031, -0.18969885796208732, 0.3942392775788903, -0.06802005335755114, 0.1959766413617347, 0.10726635031668204, 0.10505076798809958, 0.050057491266800626, -0.03374591521320066, 0.07551615349283176, -0.30030613645379034, 0.0969473575075556, 0.22262731294280716, 0.018078677855165943, 0.054493343465894996, -0.3860128414801563, -0.15031699402191276, 0.16192929830867797, 0.16864911949128977, -0.03506828731873871, 0.012428138820853616, -0.31237840998385635, 0.035387814294413796, -0.14347483709986722, -0.13460341201945475, -0.003462283921960209, 0.019798934193594114, 0.014164623667186658, -0.11385712519196593, 0.0192608082226278, 0.08586159012546497, 0.15855477736996754, 0.05667009632036622, -0.0006526251423305698, -0.04044346132182649, 0.11718076091658856, -0.045462596034797444, 0.08254098438607928, 0.037302220082243105, -0.15151352082362532, -0.1828531671781093, 0.36847477851967725, -0.07315307978673705, -0.28513059548900593, 0.14864000252314977, -0.12873865874384396, -0.19037735976079212, 0.14871549316948013, 0.10737955769790071, 0.04036715141098414, -0.12819850920017675, 0.16329298909840873, -0.11302500622280474, 0.004994875152728387, 0.1706251251411491, -0.10916406867493476, 0.15416378368224418, 0.09502956686940577, 0.033670823339239826, 0.23990078227195358, -0.03998698997643909, -0.1259392163483426, -0.33078201451072736, -0.31330456303632154, -0.04842676415241191, 0.04452933183139456, -0.12380430523028606, -0.20687928864000632, 0.34080067368423833, 0.0027955048052327974, 0.19654590231013053, 0.15904583436037814, 0.2764531053003988, -0.04310871407921825, 0.04791779697240729, 0.12000889538155336, 0.18617486288504942, 0.2607253244454374, 0.05157863285525569, -0.03199840628907883, 0.0007092966864417706, 0.23781208364692116] |
708.2407 | Classical Integrable N=1 and $N= 2$ Super Sinh-Gordon Models with Jump
Defects | The structure of integrable field theories in the presence of jump defects is
discussed in terms of boundary functions under the Lagrangian formalism.
Explicit examples of bosonic and fermionic theories are considered. In
particular, the boundary functions for the N=1 and N=2 super sinh-Gordon models
are constructed and shown to generate the Backlund transformations for its
soliton solutions. As a new and interesting example, a solution with an
incoming boson and an outgoing fermion for the N=1 case is presented. The
resulting integrable models are shown to be invariant under supersymmetric
transformation.
| nlin.SI hep-th | the structure of integrable field theories in the presence of jump defects is discussed in terms of boundary functions under the lagrangian formalism explicit examples of bosonic and fermionic theories are considered in particular the boundary functions for the n1 and n2 super sinhgordon models are constructed and shown to generate the backlund transformations for its soliton solutions as a new and interesting example a solution with an incoming boson and an outgoing fermion for the n1 case is presented the resulting integrable models are shown to be invariant under supersymmetric transformation | [['the', 'structure', 'of', 'integrable', 'field', 'theories', 'in', 'the', 'presence', 'of', 'jump', 'defects', 'is', 'discussed', 'in', 'terms', 'of', 'boundary', 'functions', 'under', 'the', 'lagrangian', 'formalism', 'explicit', 'examples', 'of', 'bosonic', 'and', 'fermionic', 'theories', 'are', 'considered', 'in', 'particular', 'the', 'boundary', 'functions', 'for', 'the', 'n1', 'and', 'n2', 'super', 'sinhgordon', 'models', 'are', 'constructed', 'and', 'shown', 'to', 'generate', 'the', 'backlund', 'transformations', 'for', 'its', 'soliton', 'solutions', 'as', 'a', 'new', 'and', 'interesting', 'example', 'a', 'solution', 'with', 'an', 'incoming', 'boson', 'and', 'an', 'outgoing', 'fermion', 'for', 'the', 'n1', 'case', 'is', 'presented', 'the', 'resulting', 'integrable', 'models', 'are', 'shown', 'to', 'be', 'invariant', 'under', 'supersymmetric', 'transformation']] | [-0.12439408789783635, 0.16274668211807022, -0.03660685212715813, 0.12367358372253164, -0.03687575613350972, -0.18873557456991757, -0.08070353269779487, 0.33574380314625474, -0.21261986417938833, -0.22071552335325142, 0.11308452787014413, -0.29009313174300705, -0.19694708567112684, 0.15629167976262776, -0.019092862767612805, 0.09539436337312825, 0.007585652501565282, 0.08561519668538771, -0.12090155266670753, -0.27895128438198613, 0.3337012260504391, -0.018042315961793065, 0.2564498309435768, 0.040037368443217536, 0.1314026535610142, -0.008268109543006058, 0.023123185808324943, -0.03578295091005123, -0.12428547681876174, 0.08285988056930997, 0.23802093397574461, 0.06062257817804651, 0.11725138288507563, -0.4204757079967986, -0.21870297445591702, 0.08674377295107621, 0.16363370120424128, 0.13351690584955656, -0.05545468733686468, -0.3026745816333341, 0.04762119188418855, -0.1404428802349645, -0.21038878134087377, -0.09260373821978093, 0.02140144986206787, -0.002813883065676276, -0.300594413051326, 0.04446432359133684, 0.037830204783898334, 0.0254493754777207, -0.10088052899062978, -0.05866005128684818, -0.10083380326345238, 0.04472540909140978, 0.08951336633333046, 0.02381034824065864, 0.06979660101174175, -0.19379774993981497, -0.12331376797722085, 0.3988920232969458, -0.06021809525301923, -0.3296694022643825, 0.1916383150357591, -0.07237257457176305, -0.14319597933259184, 0.10159628700120779, 0.09814374401416305, 0.15481684109924929, -0.15531076053625642, 0.18504265033445097, -0.05292860339345087, 0.08120265566622434, 0.08539001445751637, 0.039245094425733325, 0.2143149832263589, 0.07495773972376533, 0.052509253540926656, 0.20327332206247578, 0.017560450471532735, -0.16566404534260865, -0.4158052652264419, -0.16108017646092776, -0.10699752160808598, 0.04599203885047008, -0.08759222122250282, -0.17011809811368078, 0.3994513721731694, 0.09092226797340276, 0.15498755445055987, 0.03682354942429811, 0.1682569461535541, 0.2064564424736486, 0.0674609437574754, 0.035586637632071, 0.1903931080950829, 0.17611785910254263, 0.05292672224585777, -0.2126026184926994, -0.08271393260878065, 0.1523119305974156] |
708.2408 | Charged Impurity Scattering in Graphene | Since the experimental realization of graphene1, extensive theoretical work
has focused on short-range disorder2-5, ''ripples''6, 7, or charged
impurities2, 3, 8-13 to explain the conductivity as a function of carrier
density sigma_(n)[1,14-18], and its minimum value sigma_min near twice the
conductance quantum 4e2/h[14, 15, 19, 20]. Here we vary the density of charged
impurities nimp on clean graphene21 by deposition of potassium in ultra high
vacuum. At non-zero carrier density, charged impurity scattering produces the
ubiquitously observed1, 14-18 linear sigma_(n) with the theoretically-predicted
magnitude. The predicted asymmetry11 for attractive vs. repulsive scattering of
Dirac fermions is observed. Sigma_min occurs not at the carrier density which
neutralizes nimp, but rather the carrier density at which the average impurity
potential is zero10. Sigma_min decreases initially with nimp, reaching a
minimum near 4e2/h at non-zero nimp, indicating that Sigma_min in present
experimental samples does not probe Dirac-point physics14, 15, 19, 20 but
rather carrier density inhomogeneity due to the impurity potential3, 9, 10.
| cond-mat.other | since the experimental realization of graphene1 extensive theoretical work has focused on shortrange disorder25 ripples6 7 or charged impurities2 3 813 to explain the conductivity as a function of carrier density sigma_n11418 and its minimum value sigma_min near twice the conductance quantum 4e2h14 15 19 20 here we vary the density of charged impurities nimp on clean graphene21 by deposition of potassium in ultra high vacuum at nonzero carrier density charged impurity scattering produces the ubiquitously observed1 1418 linear sigma_n with the theoreticallypredicted magnitude the predicted asymmetry11 for attractive vs repulsive scattering of dirac fermions is observed sigma_min occurs not at the carrier density which neutralizes nimp but rather the carrier density at which the average impurity potential is zero10 sigma_min decreases initially with nimp reaching a minimum near 4e2h at nonzero nimp indicating that sigma_min in present experimental samples does not probe diracpoint physics14 15 19 20 but rather carrier density inhomogeneity due to the impurity potential3 9 10 | [['since', 'the', 'experimental', 'realization', 'of', 'graphene1', 'extensive', 'theoretical', 'work', 'has', 'focused', 'on', 'shortrange', 'disorder25', 'ripples6', '7', 'or', 'charged', 'impurities2', '3', '813', 'to', 'explain', 'the', 'conductivity', 'as', 'a', 'function', 'of', 'carrier', 'density', 'sigma_n11418', 'and', 'its', 'minimum', 'value', 'sigma_min', 'near', 'twice', 'the', 'conductance', 'quantum', '4e2h14', '15', '19', '20', 'here', 'we', 'vary', 'the', 'density', 'of', 'charged', 'impurities', 'nimp', 'on', 'clean', 'graphene21', 'by', 'deposition', 'of', 'potassium', 'in', 'ultra', 'high', 'vacuum', 'at', 'nonzero', 'carrier', 'density', 'charged', 'impurity', 'scattering', 'produces', 'the', 'ubiquitously', 'observed1', '1418', 'linear', 'sigma_n', 'with', 'the', 'theoreticallypredicted', 'magnitude', 'the', 'predicted', 'asymmetry11', 'for', 'attractive', 'vs', 'repulsive', 'scattering', 'of', 'dirac', 'fermions', 'is', 'observed', 'sigma_min', 'occurs', 'not', 'at', 'the', 'carrier', 'density', 'which', 'neutralizes', 'nimp', 'but', 'rather', 'the', 'carrier', 'density', 'at', 'which', 'the', 'average', 'impurity', 'potential', 'is', 'zero10', 'sigma_min', 'decreases', 'initially', 'with', 'nimp', 'reaching', 'a', 'minimum', 'near', '4e2h', 'at', 'nonzero', 'nimp', 'indicating', 'that', 'sigma_min', 'in', 'present', 'experimental', 'samples', 'does', 'not', 'probe', 'diracpoint', 'physics14', '15', '19', '20', 'but', 'rather', 'carrier', 'density', 'inhomogeneity', 'due', 'to', 'the', 'impurity', 'potential3', '9', '10']] | [-0.12096422462176683, 0.24888969589075124, -0.02534867193851922, 0.027187617069324228, 0.046200847341301476, -0.17491133838602518, 0.10154754872672965, 0.3504702123479817, -0.18387288738646218, -0.3598102776434373, 0.023460215147949656, -0.37005275815121225, -0.05227486826196263, 0.11586480341518197, 0.028239540041525017, 0.008027202844213871, -0.028936910880351992, 0.02316753622348974, -0.11837254058273912, -0.2275940542914779, 0.22499532184352772, 0.08302947340259403, 0.3048398627418194, 0.1488723389365741, 0.05336501578258813, 0.03110297418292297, 0.03831422014765259, 0.006758919932778824, -0.12913262737920622, 0.013043909720648584, 0.22759095336172125, -0.08580453952340208, 0.20441743776177032, -0.39648005057982094, -0.20249166029404747, 0.042821675705773804, 0.1804226388072444, 0.12243478393616355, -0.10106772093599461, -0.21642661226183377, 0.0816095936130984, -0.13548568189081206, -0.16542107640526485, 0.03250443085680426, 0.06574455406390936, -0.024435705476994248, -0.24629642607524638, 0.1774014866457799, -0.020899400133891282, 0.06815402393506186, -0.09525359148176142, -0.18485473681593667, -0.06058417504647042, -0.010158740081572654, 0.021879266837385256, 0.07843221087682035, 0.2426937302901737, -0.13315759008165096, -0.016034554262217636, 0.3220561432724542, -0.12012442628651657, -0.07477706996094738, 0.20032287281906433, -0.21802830436845888, -0.036438298532802206, 0.23821969083636194, 0.09473284359744473, 0.07615983377154162, -0.0990415040617557, 0.09093295187159202, -0.023897541321128153, 0.19729261908592102, 0.09918431095099328, 0.0760933011801712, 0.250135388303976, 0.15431026570071038, 0.10107461669532633, 0.03913572643304596, -0.1799077049646577, -0.029009760060108494, -0.23285374921947918, -0.10426564230835317, -0.24733501361255106, 0.10992094587139012, -0.08630256150285572, -0.1681072972714901, 0.37674164137727506, 0.13916803480321038, 0.23792882965298723, 0.00952186040278222, 0.22513731171981105, 0.1401545621912511, 0.07086134865445225, 0.061675633782067814, 0.26704413103996905, 0.13971640255909437, 0.12562914317272403, -0.26336241949733497, 0.05785862514607583, -0.038277638797660836] |
708.2409 | Ages of Elliptical Galaxies: Single versus Multi Population
Interpretation | New calibrations of spectrophotometric indices of elliptical galaxies as
functions of spectrophotometric indices are presented, permitting estimates of
mean stellar population ages and metallicities. These calibrations are based on
evolutionary models including a two-phase interstellar medium, infall and a
galactic wind.Free parameters were fixed by requiring that models reproduce the
mean trend of data in the color-magnitude diagram as well as in the plane of
indices Hbeta-Mg2 and Mg2-<Fe>. To improve the location of faint ellipticals(MB
> -20) in the Hbeta-Mg2 diagram, down-sizing was introduced. An application of
our calibrations to a sample of ellipticals and a comparison with results
derived from single stellar population models is given. Our models indicate
that mean population ages span an interval of 7-12 Gyr and are correlated with
metallicities, which range from approximately half up to three times solar.
| astro-ph | new calibrations of spectrophotometric indices of elliptical galaxies as functions of spectrophotometric indices are presented permitting estimates of mean stellar population ages and metallicities these calibrations are based on evolutionary models including a twophase interstellar medium infall and a galactic windfree parameters were fixed by requiring that models reproduce the mean trend of data in the colormagnitude diagram as well as in the plane of indices hbetamg2 and mg2fe to improve the location of faint ellipticalsmb 20 in the hbetamg2 diagram downsizing was introduced an application of our calibrations to a sample of ellipticals and a comparison with results derived from single stellar population models is given our models indicate that mean population ages span an interval of 712 gyr and are correlated with metallicities which range from approximately half up to three times solar | [['new', 'calibrations', 'of', 'spectrophotometric', 'indices', 'of', 'elliptical', 'galaxies', 'as', 'functions', 'of', 'spectrophotometric', 'indices', 'are', 'presented', 'permitting', 'estimates', 'of', 'mean', 'stellar', 'population', 'ages', 'and', 'metallicities', 'these', 'calibrations', 'are', 'based', 'on', 'evolutionary', 'models', 'including', 'a', 'twophase', 'interstellar', 'medium', 'infall', 'and', 'a', 'galactic', 'windfree', 'parameters', 'were', 'fixed', 'by', 'requiring', 'that', 'models', 'reproduce', 'the', 'mean', 'trend', 'of', 'data', 'in', 'the', 'colormagnitude', 'diagram', 'as', 'well', 'as', 'in', 'the', 'plane', 'of', 'indices', 'hbetamg2', 'and', 'mg2fe', 'to', 'improve', 'the', 'location', 'of', 'faint', 'ellipticalsmb', '20', 'in', 'the', 'hbetamg2', 'diagram', 'downsizing', 'was', 'introduced', 'an', 'application', 'of', 'our', 'calibrations', 'to', 'a', 'sample', 'of', 'ellipticals', 'and', 'a', 'comparison', 'with', 'results', 'derived', 'from', 'single', 'stellar', 'population', 'models', 'is', 'given', 'our', 'models', 'indicate', 'that', 'mean', 'population', 'ages', 'span', 'an', 'interval', 'of', '712', 'gyr', 'and', 'are', 'correlated', 'with', 'metallicities', 'which', 'range', 'from', 'approximately', 'half', 'up', 'to', 'three', 'times', 'solar']] | [0.01995431306329378, 0.10833584983768262, -0.0934054036482543, 0.0968582827130418, -0.048167198503617455, -0.043741743425120605, 0.07764972536113711, 0.4582050910489705, -0.12258573515937869, -0.4325057531756754, 0.07220388737859076, -0.2804953636393175, -0.020093110514254192, 0.24449586602974727, -0.08048460913381277, -0.0020877441857010126, 0.05187347069389777, -0.08839571549031058, -0.07087257940620753, -0.2882265047897151, 0.2791612444068696, 0.025074887473335247, 0.15688366925642463, -0.09159675698624284, 0.05836530608695555, -0.09868044557026766, -0.10484814042765789, -0.01543065530198221, -0.17789261333898992, 0.05181877786393156, 0.2279486657020979, 0.13434042292113862, 0.19973322070907545, -0.32480308981157996, -0.23093626277791407, 0.0688392514227854, 0.2037973214822416, 0.05509038428324523, -0.07646791600419621, -0.24315884717889413, 0.06340577304878678, -0.1698836469187451, -0.1589786825214605, 0.07717949963878584, 0.02951986838366751, 0.10578601680454293, -0.2631823870260979, 0.1525938203896019, -0.020761121152402508, 0.1704851160508417, -0.1609365672996367, -0.16733176503081643, -0.08530482889209938, 0.15669744541399352, 0.005269230355842764, 0.0518133616008714, 0.1511511949445512, -0.11394336421170649, -0.061983775129747926, 0.3921066037528501, -0.08638128150567298, -0.04352390874205655, 0.22190605854004167, -0.15321142030595483, -0.11946046780723765, 0.07520763989082957, 0.1617656916536334, 0.1251964693398478, -0.19566308059338622, -0.00032643192378405963, -0.006348077666355681, 0.20908724402169918, -0.006673391250793943, 0.015630502898942765, 0.2643037630149114, 0.13053761723358895, 0.03862341814354517, 0.04671179897948133, -0.17942884574885984, -0.09481976730820105, -0.2446104808397705, -0.08957681765260872, -0.10241498092619546, 0.04658769063815076, -0.20303046026119148, -0.1569525199686355, 0.3860153528819045, 0.1287560039377622, 0.23718580531084354, 0.12431716180374519, 0.26649366310115136, 0.0987208693044772, 0.11393013605776861, 0.08501159508876105, 0.26638584212890565, 0.1976407510868295, 0.06084971208807849, -0.18060787417925894, 0.08489962417333749, 0.026454637705113825] |
708.241 | How to become a superhero | We analyze a collaboration network based on the Marvel Universe comic books.
First, we consider the system as a binary network, where two characters are
connected if they appear in the same publication. The analysis of degree
correlations reveals that, in contrast to most real social networks, the Marvel
Universe presents a disassortative mixing on the degree. Then, we use a weight
measure to study the system as a weighted network. This allows us to find and
characterize well defined communities. Through the analysis of the community
structure and the clustering as a function of the degree we show that the
network presents a hierarchical structure. Finally, we comment on possible
mechanisms responsible for the particular motifs observed.
| physics.soc-ph physics.data-an | we analyze a collaboration network based on the marvel universe comic books first we consider the system as a binary network where two characters are connected if they appear in the same publication the analysis of degree correlations reveals that in contrast to most real social networks the marvel universe presents a disassortative mixing on the degree then we use a weight measure to study the system as a weighted network this allows us to find and characterize well defined communities through the analysis of the community structure and the clustering as a function of the degree we show that the network presents a hierarchical structure finally we comment on possible mechanisms responsible for the particular motifs observed | [['we', 'analyze', 'a', 'collaboration', 'network', 'based', 'on', 'the', 'marvel', 'universe', 'comic', 'books', 'first', 'we', 'consider', 'the', 'system', 'as', 'a', 'binary', 'network', 'where', 'two', 'characters', 'are', 'connected', 'if', 'they', 'appear', 'in', 'the', 'same', 'publication', 'the', 'analysis', 'of', 'degree', 'correlations', 'reveals', 'that', 'in', 'contrast', 'to', 'most', 'real', 'social', 'networks', 'the', 'marvel', 'universe', 'presents', 'a', 'disassortative', 'mixing', 'on', 'the', 'degree', 'then', 'we', 'use', 'a', 'weight', 'measure', 'to', 'study', 'the', 'system', 'as', 'a', 'weighted', 'network', 'this', 'allows', 'us', 'to', 'find', 'and', 'characterize', 'well', 'defined', 'communities', 'through', 'the', 'analysis', 'of', 'the', 'community', 'structure', 'and', 'the', 'clustering', 'as', 'a', 'function', 'of', 'the', 'degree', 'we', 'show', 'that', 'the', 'network', 'presents', 'a', 'hierarchical', 'structure', 'finally', 'we', 'comment', 'on', 'possible', 'mechanisms', 'responsible', 'for', 'the', 'particular', 'motifs', 'observed']] | [-0.15990753450936054, 0.0453105387676229, -0.08421376255593437, 0.09455616425197982, -0.06692225065761072, -0.07198814723097573, 0.06105329245486754, 0.38211035363818124, -0.26197871036203063, -0.2863745002186526, 0.06342077446446391, -0.2721575631512678, -0.2570544327530315, 0.13621064204470082, -0.004290284472517669, -0.017575025699551265, 0.0637932952840702, 0.07599935878731184, -0.007617580682193166, -0.2318994385817767, 0.38487320513290874, 0.06235922721088311, 0.28885485062186245, 0.06086305245536111, 0.09676182773990273, 0.007349269914488166, -0.06574660598426678, 0.039301171003035824, -0.1363275443008653, 0.13266802795420765, 0.22203380185952884, 0.17167878621731394, 0.26980793348639825, -0.3909536554651745, -0.19650047308749566, 0.1482152801867322, 0.1303781941888254, 0.10665472516774248, 0.008189458704861355, -0.2649456744873502, 0.08879926347891974, -0.17896937210074826, -0.09339388253135701, -0.07922943652867954, -0.01615198283708828, 0.03477021887251255, -0.23100642245598296, 0.04139379576890398, 0.026545435925195846, 0.029461794311843686, -0.03673870703925663, -0.09436077595751544, -0.023711976376204293, 0.15558503480564992, 0.010958829676629818, -0.0037587714772197908, 0.10135925791257898, -0.13235534213570152, -0.14007941869055948, 0.39168378604591775, -0.08447001514792585, -0.1404315996145577, 0.18059458115416327, -0.14128709405313356, -0.19320669757218054, 0.015486211225911343, 0.23027995845571286, 0.08927982891673002, -0.14848361633248405, 0.025458346554117623, -0.06959240406088657, 0.1971541077896984, 0.0494574820583339, 0.01432731669885501, 0.17352005926955302, 0.22650055636028302, 0.06957223692561611, 0.15754194708118782, -0.08395400137238015, -0.058117628062510925, -0.24765401470111842, -0.1520342246858182, -0.18522788194142345, 0.030597361694563622, -0.09207045662160608, -0.17385318920300422, 0.4633804501302667, 0.13719879142876903, 0.2533008128846601, 0.06624234398290263, 0.23223155163133802, 0.04313652472022005, 0.06693409025665152, 0.09249169092775339, 0.20340216522089252, 0.1044571747001008, 0.12140369599969206, -0.1634651862945155, 0.10963380198912909, 0.023190921622375817] |
708.2411 | Flow and critical velocity of an imbalanced Fermi gas through an optical
potential | Optical lattices offer the possibility to investigate the superfluid
properties of both Bose condensates and Fermionic superfluid gases. When a
population imbalance is present in a Fermi mixture, this leads to frustration
of the pairing, and the superfluid properties will be affected. In this
contribution, the influence of imbalance on the flow of a Fermi superfluid
through an optical lattice is investigated. The flow through the lattice is
analysed by taking into account coupling between neighbouring layers of the
optical lattice up to second order in the interlayer tunneling amplitude for
single atoms. The critical velocity of flow through the lattice is shown to
decrease monotonically to zero as the imbalance is increased to 100%.
Closed-form analytical expressions are given for the tunneling contribution to
the action and for the critical velocity as a function of the binding energy of
pairs in the (quasi) two-dimensional Fermi superfluid and as a function of the
imbalance.
| cond-mat.supr-con | optical lattices offer the possibility to investigate the superfluid properties of both bose condensates and fermionic superfluid gases when a population imbalance is present in a fermi mixture this leads to frustration of the pairing and the superfluid properties will be affected in this contribution the influence of imbalance on the flow of a fermi superfluid through an optical lattice is investigated the flow through the lattice is analysed by taking into account coupling between neighbouring layers of the optical lattice up to second order in the interlayer tunneling amplitude for single atoms the critical velocity of flow through the lattice is shown to decrease monotonically to zero as the imbalance is increased to 100 closedform analytical expressions are given for the tunneling contribution to the action and for the critical velocity as a function of the binding energy of pairs in the quasi twodimensional fermi superfluid and as a function of the imbalance | [['optical', 'lattices', 'offer', 'the', 'possibility', 'to', 'investigate', 'the', 'superfluid', 'properties', 'of', 'both', 'bose', 'condensates', 'and', 'fermionic', 'superfluid', 'gases', 'when', 'a', 'population', 'imbalance', 'is', 'present', 'in', 'a', 'fermi', 'mixture', 'this', 'leads', 'to', 'frustration', 'of', 'the', 'pairing', 'and', 'the', 'superfluid', 'properties', 'will', 'be', 'affected', 'in', 'this', 'contribution', 'the', 'influence', 'of', 'imbalance', 'on', 'the', 'flow', 'of', 'a', 'fermi', 'superfluid', 'through', 'an', 'optical', 'lattice', 'is', 'investigated', 'the', 'flow', 'through', 'the', 'lattice', 'is', 'analysed', 'by', 'taking', 'into', 'account', 'coupling', 'between', 'neighbouring', 'layers', 'of', 'the', 'optical', 'lattice', 'up', 'to', 'second', 'order', 'in', 'the', 'interlayer', 'tunneling', 'amplitude', 'for', 'single', 'atoms', 'the', 'critical', 'velocity', 'of', 'flow', 'through', 'the', 'lattice', 'is', 'shown', 'to', 'decrease', 'monotonically', 'to', 'zero', 'as', 'the', 'imbalance', 'is', 'increased', 'to', '100', 'closedform', 'analytical', 'expressions', 'are', 'given', 'for', 'the', 'tunneling', 'contribution', 'to', 'the', 'action', 'and', 'for', 'the', 'critical', 'velocity', 'as', 'a', 'function', 'of', 'the', 'binding', 'energy', 'of', 'pairs', 'in', 'the', 'quasi', 'twodimensional', 'fermi', 'superfluid', 'and', 'as', 'a', 'function', 'of', 'the', 'imbalance']] | [-0.17238865914231458, 0.22579798307778184, -0.06834617704334488, 0.04227340686385967, -0.010533644769389134, -0.1093935446190805, 0.09442888547941534, 0.34440170518158897, -0.27817298520308037, -0.25489181838929653, 0.0022204534192992883, -0.31934821211382164, -0.07586677242811261, 0.1525171340818142, 0.044449782077610106, 0.03397757360445602, -0.008680222704159942, 0.014033857987008312, -0.0986776353644703, -0.24769705774371403, 0.3435441924564468, 0.0351891926937289, 0.3333858783574557, 0.13358002129409993, 0.07051625725353597, 0.007100303982408693, 0.05726016554588379, 0.022886957214274382, -0.14070209331641143, 0.08982188190490782, 0.1969072030367354, -0.06484183775527137, 0.2279997012856138, -0.404755606436981, -0.2278944347658521, 0.06823433875771505, 0.1833261810212892, 0.16117186187585067, -0.016336570255754686, -0.26487318224987233, -0.008058310725254479, -0.20847610254808294, -0.13875373149012493, -0.0928827595909114, 0.037478423417340236, 0.059164454392459875, -0.2388905425610432, 0.11750577298271192, 0.03711368213105318, 0.0846394260652823, -0.09172372733561818, -0.07064677584408359, -0.049068116238219786, 0.11423192627961572, 0.051956011073107454, 0.05374145626193275, 0.10590411045788121, -0.1935782026644651, -0.0316496097131983, 0.42165417076003825, -0.10330644580792611, -0.17322321366911828, 0.1650043041014427, -0.16626092819980792, -0.021866222568364305, 0.16013629339006427, 0.16709460997228304, 0.02490428586296931, -0.12060057407431381, 0.02177044141632444, -0.03370341232240007, 0.1388997554026133, 0.013027789485459398, 0.03440674652901853, 0.2754082769615116, 0.1945560415798508, 0.06927395343792613, 0.2107856679192212, -0.1443250141629659, -0.08984354387533355, -0.2598140080120753, -0.15517190692178276, -0.21298291665719604, 0.02898688870179769, -0.030189592012902722, -0.17072809448026502, 0.3890689638830334, 0.11989912207316994, 0.24191988763314756, -0.029037516048577214, 0.27631367008842816, 0.15217062960644917, 0.06760664199261213, 0.029525950117121367, 0.2703960827709018, 0.1513370449409832, 0.0769043492407284, -0.3263982756249682, 0.008045836711641063, 0.0743875996868864] |
708.2412 | Current-Induced Motion of Narrow Domain Walls and Dissipation in
Ferromagnetic Metals | Spin transport equations in a non-homogeneous ferromagnet are derived in the
limit where the sd exchange coupling between the electrons in the conduction
band and those in the d band is dominant. It is shown that spin diffusion in
ferromagnets assumes a tensor form. The diagonal terms are renormalized with
respect to that in normal metals and enhances the dissipation in the magnetic
system while the off-diagonal terms renormalize the precessional frequency of
the conduction electrons and enhances the non-adiabatic spin torque. To
demonstrate the new physics in our theory, we show that self-consistent
solutions of the spin diffusion equations and the Landau-Lifshitz equations in
the presence of a current lead to a an increase in the terminal velocity of a
domain wall which becomes strongly dependent on its width. We also provide a
simplified equation that predicts damping due to the conduction electrons.
| cond-mat.mes-hall cond-mat.mtrl-sci | spin transport equations in a nonhomogeneous ferromagnet are derived in the limit where the sd exchange coupling between the electrons in the conduction band and those in the d band is dominant it is shown that spin diffusion in ferromagnets assumes a tensor form the diagonal terms are renormalized with respect to that in normal metals and enhances the dissipation in the magnetic system while the offdiagonal terms renormalize the precessional frequency of the conduction electrons and enhances the nonadiabatic spin torque to demonstrate the new physics in our theory we show that selfconsistent solutions of the spin diffusion equations and the landaulifshitz equations in the presence of a current lead to a an increase in the terminal velocity of a domain wall which becomes strongly dependent on its width we also provide a simplified equation that predicts damping due to the conduction electrons | [['spin', 'transport', 'equations', 'in', 'a', 'nonhomogeneous', 'ferromagnet', 'are', 'derived', 'in', 'the', 'limit', 'where', 'the', 'sd', 'exchange', 'coupling', 'between', 'the', 'electrons', 'in', 'the', 'conduction', 'band', 'and', 'those', 'in', 'the', 'd', 'band', 'is', 'dominant', 'it', 'is', 'shown', 'that', 'spin', 'diffusion', 'in', 'ferromagnets', 'assumes', 'a', 'tensor', 'form', 'the', 'diagonal', 'terms', 'are', 'renormalized', 'with', 'respect', 'to', 'that', 'in', 'normal', 'metals', 'and', 'enhances', 'the', 'dissipation', 'in', 'the', 'magnetic', 'system', 'while', 'the', 'offdiagonal', 'terms', 'renormalize', 'the', 'precessional', 'frequency', 'of', 'the', 'conduction', 'electrons', 'and', 'enhances', 'the', 'nonadiabatic', 'spin', 'torque', 'to', 'demonstrate', 'the', 'new', 'physics', 'in', 'our', 'theory', 'we', 'show', 'that', 'selfconsistent', 'solutions', 'of', 'the', 'spin', 'diffusion', 'equations', 'and', 'the', 'landaulifshitz', 'equations', 'in', 'the', 'presence', 'of', 'a', 'current', 'lead', 'to', 'a', 'an', 'increase', 'in', 'the', 'terminal', 'velocity', 'of', 'a', 'domain', 'wall', 'which', 'becomes', 'strongly', 'dependent', 'on', 'its', 'width', 'we', 'also', 'provide', 'a', 'simplified', 'equation', 'that', 'predicts', 'damping', 'due', 'to', 'the', 'conduction', 'electrons']] | [-0.17394245517708543, 0.17963344314284768, -0.024551763917164255, 0.03712354038887295, -0.055458527210349634, -0.10191293570096605, 0.00795485605663594, 0.31427232353275436, -0.30296470211922294, -0.2382147190239468, 0.010906660405857515, -0.2997584132891562, -0.10856248036078694, 0.1854161837784179, 0.039364784073162205, -0.0515773963614063, 0.020708733274053277, -0.000952872563882718, -0.09703118288760176, -0.17187244416951822, 0.28838655042070765, 0.006700593237635783, 0.2904278454580991, 0.11140749316028734, 0.07798876192666487, 0.00016473760964193693, 0.056874828561881766, 0.013645264915087156, -0.10410446608845329, 0.05853781631190537, 0.19658444520448232, -0.09452710394462985, 0.20272493445210987, -0.4674534823021127, -0.2141911871727239, 0.005118115462311026, 0.14992272035548618, 0.15836850013794093, -0.012764126126259927, -0.24144694916968648, 0.03324583373291211, -0.18399820835717642, -0.13253585640470394, -0.061127628083340824, 0.020259184568809967, 0.020229183699686674, -0.2863759619326124, 0.1508509359617973, 0.11237075704330993, -0.02851023550303782, -0.11401050896852717, -0.09607673949519974, -0.09119153336279043, 0.062138981719019486, 0.0886064826061354, 0.037526047377873004, 0.11459057427641205, -0.1664678687035727, -0.08625502208370664, 0.38498487452872926, -0.12324124012633951, -0.2505880932375375, 0.17153608378106988, -0.20415290972838798, -0.030262318973351892, 0.14503144407515517, 0.13695488197845407, 0.09820606929780398, -0.1441404298036812, 0.12275237376969825, 0.0025602373967154157, 0.12709353298042617, 0.004489176680282172, 0.04321249273683255, 0.20570670670713298, 0.15206997953161286, 0.06527563896250083, 0.1152622723056993, -0.10025995882865067, -0.11264390421921336, -0.2745730182181837, -0.1721677752050002, -0.20555833630755338, 0.07069825555016804, -0.09206570521079509, -0.184999472222949, 0.42374722169835066, 0.1743727763759024, 0.15693766242192295, -0.008039224029441053, 0.2655282859599942, 0.1924844515007054, 0.051904803125782766, 0.11499227510002027, 0.30190118682932937, 0.20254255731075924, 0.1253987932690911, -0.3448334258444245, 0.06871305970061156, 0.03055253282137629] |
708.2413 | Quark Confinement from Color Confinement | We relate quark confinement, as measured by the Polyakov-loop order
parameter, to color confinement, as described by the
Kugo-Ojima/Gribov-Zwanziger scenario. We identify a simple criterion for quark
confinement based on the IR behaviour of ghost and gluon propagators, and
compute the order-parameter potential from the knowledge of Landau-gauge
correlation functions with the aid of the functional RG. Our approach predicts
the deconfinement transition in quenched QCD to be of first order for SU(3) and
second order for SU(2) -- in agreement with general expectations. As an
estimate for the critical temperature, we obtain T_c=284MeV for SU(3).
| hep-th hep-lat hep-ph | we relate quark confinement as measured by the polyakovloop order parameter to color confinement as described by the kugoojimagribovzwanziger scenario we identify a simple criterion for quark confinement based on the ir behaviour of ghost and gluon propagators and compute the orderparameter potential from the knowledge of landaugauge correlation functions with the aid of the functional rg our approach predicts the deconfinement transition in quenched qcd to be of first order for su3 and second order for su2 in agreement with general expectations as an estimate for the critical temperature we obtain t_c284mev for su3 | [['we', 'relate', 'quark', 'confinement', 'as', 'measured', 'by', 'the', 'polyakovloop', 'order', 'parameter', 'to', 'color', 'confinement', 'as', 'described', 'by', 'the', 'kugoojimagribovzwanziger', 'scenario', 'we', 'identify', 'a', 'simple', 'criterion', 'for', 'quark', 'confinement', 'based', 'on', 'the', 'ir', 'behaviour', 'of', 'ghost', 'and', 'gluon', 'propagators', 'and', 'compute', 'the', 'orderparameter', 'potential', 'from', 'the', 'knowledge', 'of', 'landaugauge', 'correlation', 'functions', 'with', 'the', 'aid', 'of', 'the', 'functional', 'rg', 'our', 'approach', 'predicts', 'the', 'deconfinement', 'transition', 'in', 'quenched', 'qcd', 'to', 'be', 'of', 'first', 'order', 'for', 'su3', 'and', 'second', 'order', 'for', 'su2', 'in', 'agreement', 'with', 'general', 'expectations', 'as', 'an', 'estimate', 'for', 'the', 'critical', 'temperature', 'we', 'obtain', 't_c284mev', 'for', 'su3']] | [-0.03161407430325785, 0.17971020751342964, -0.1398366397767458, 0.11425512894407235, -0.02736448383419424, -0.06959533619303856, 0.0669517517935576, 0.37256150152934814, -0.13961156666459096, -0.27212484429279965, 0.05770482205265071, -0.25142931775941, -0.09964038725374066, 0.08542858831263998, 0.036902761998115687, 0.07576601285367243, -0.06790193304749986, 0.08632995271103917, -0.10764189546186757, -0.21063271338891199, 0.36774117137075113, -0.027745433321963716, 0.25221152411353204, 0.15276326792394762, 0.04570036661372738, 0.046914778073989256, -0.01874030452041376, -0.0039883496550222235, -0.14558028591977012, 0.04895144414597301, 0.2089086337783624, -0.013060716581681082, 0.1518428539156273, -0.3630580467882977, -0.23050997569976794, 0.0666482394626264, 0.13658888705114844, 0.1293000695395774, -0.0330817586784902, -0.27542135523011285, 0.09444263549421424, -0.19859491538297716, -0.20621918860862973, -0.16293343804496271, -0.04513921422923925, -0.035241395084848325, -0.36174901779140195, 0.11444933898746967, -0.034691243742903076, 0.04950109965378238, -0.04405248211196033, -0.1343461797980752, -0.05672271346663355, 0.12377148321379096, 0.07812700025431851, 0.1290412823249015, 0.11510018964788767, -0.2234027969240341, -0.1362140004852316, 0.43296696036373095, -0.0952449591457343, -0.13288086349324835, 0.1340812953885004, -0.15575630613853053, -0.12744966926934417, 0.07651390137291082, 0.1490009743945613, 0.0864591890875931, -0.16349803371935762, 0.08446551614100807, -5.2200788031181984e-05, 0.14336876981761507, 0.0553829545175196, 0.04222881937922437, 0.21171858667406024, 0.17363754103976672, 0.0130296327043525, 0.15596579140182384, -0.030307872764145333, -0.15058680291297616, -0.39570831589560995, -0.1070185304764578, -0.18387059092281327, 0.006303344517745959, -0.16757501436410577, -0.1527949841392617, 0.39403696450334724, 0.18215192475866887, 0.2101447881494839, 0.06560768080895306, 0.2566606422275385, 0.16490927509092276, 0.07466644877868314, 0.0345836585407616, 0.2516697998689387, 0.1975859833570818, 0.1136651476294363, -0.31542441416162526, -0.03791854327784911, 0.16227056502654988] |
708.2414 | User Participation in Social Media: Digg Study | The social news aggregator Digg allows users to submit and moderate stories
by voting on (digging) them. As is true of most social sites, user
participation on Digg is non-uniformly distributed, with few users contributing
a disproportionate fraction of content. We studied user participation on Digg,
to see whether it is motivated by competition, fueled by user ranking, or
social factors, such as community acceptance.
For our study we collected activity data of the top users weekly over the
course of a year. We computed the number of stories users submitted, dugg or
commented on weekly. We report a spike in user activity in September 2006,
followed by a gradual decline, which seems unaffected by the elimination of
user ranking. The spike can be explained by a controversy that broke out at the
beginning of September 2006. We believe that the lasting acrimony that this
incident has created led to a decline of top user participation on Digg.
| cs.CY | the social news aggregator digg allows users to submit and moderate stories by voting on digging them as is true of most social sites user participation on digg is nonuniformly distributed with few users contributing a disproportionate fraction of content we studied user participation on digg to see whether it is motivated by competition fueled by user ranking or social factors such as community acceptance for our study we collected activity data of the top users weekly over the course of a year we computed the number of stories users submitted dugg or commented on weekly we report a spike in user activity in september 2006 followed by a gradual decline which seems unaffected by the elimination of user ranking the spike can be explained by a controversy that broke out at the beginning of september 2006 we believe that the lasting acrimony that this incident has created led to a decline of top user participation on digg | [['the', 'social', 'news', 'aggregator', 'digg', 'allows', 'users', 'to', 'submit', 'and', 'moderate', 'stories', 'by', 'voting', 'on', 'digging', 'them', 'as', 'is', 'true', 'of', 'most', 'social', 'sites', 'user', 'participation', 'on', 'digg', 'is', 'nonuniformly', 'distributed', 'with', 'few', 'users', 'contributing', 'a', 'disproportionate', 'fraction', 'of', 'content', 'we', 'studied', 'user', 'participation', 'on', 'digg', 'to', 'see', 'whether', 'it', 'is', 'motivated', 'by', 'competition', 'fueled', 'by', 'user', 'ranking', 'or', 'social', 'factors', 'such', 'as', 'community', 'acceptance', 'for', 'our', 'study', 'we', 'collected', 'activity', 'data', 'of', 'the', 'top', 'users', 'weekly', 'over', 'the', 'course', 'of', 'a', 'year', 'we', 'computed', 'the', 'number', 'of', 'stories', 'users', 'submitted', 'dugg', 'or', 'commented', 'on', 'weekly', 'we', 'report', 'a', 'spike', 'in', 'user', 'activity', 'in', 'september', '2006', 'followed', 'by', 'a', 'gradual', 'decline', 'which', 'seems', 'unaffected', 'by', 'the', 'elimination', 'of', 'user', 'ranking', 'the', 'spike', 'can', 'be', 'explained', 'by', 'a', 'controversy', 'that', 'broke', 'out', 'at', 'the', 'beginning', 'of', 'september', '2006', 'we', 'believe', 'that', 'the', 'lasting', 'acrimony', 'that', 'this', 'incident', 'has', 'created', 'led', 'to', 'a', 'decline', 'of', 'top', 'user', 'participation', 'on', 'digg']] | [-0.09791800962426724, 0.10291683948628652, -0.043946250613468386, 0.08373972088940299, -0.1462073519390124, -0.15191430024480304, 0.18413959234320104, 0.4060945014875287, -0.21306273335731254, -0.36398101397431815, 0.05368957363624269, -0.38377897181253035, -0.1596037887980063, 0.14323388162749603, -0.08978294256107452, -0.05464309676272723, 0.08438141654448536, 0.08060851146001369, 0.03662583908776586, -0.3912639606069439, 0.2927239850254503, 0.1257790971475725, 0.30299029832419294, 0.0887085404426146, 0.051730436605001345, 0.04214729309285012, -0.125263851079254, -0.008069582701398011, -0.07050787489886436, 0.10487651597260339, 0.3213091573009315, 0.24025598797314346, 0.3739662470224385, -0.4141778271072186, -0.13452739414209738, 0.033209891022684485, 0.10681616582830127, 0.020662564783542153, -0.045127031970761705, -0.3477752974841935, 0.07515138236937137, -0.2511253802296825, -0.0382330977740005, -0.004595510373175598, 0.048934307316533074, 0.023483603809160203, -0.24364302923473027, 0.04432832244306038, -0.001285604168422138, 0.13734806671392363, 0.010634734914324677, -0.04188690305902408, -0.023696601296810862, 0.1919929274232485, 0.13781280927389908, -0.00576253673054266, 0.19332891908916047, -0.1344721273277313, -0.1605436442590032, 0.383539373613297, -0.018151306344243962, -0.051439758211833976, 0.17213249178782392, -0.09863382138502903, -0.11908604250399946, 0.1283318893148158, 0.28230261517605054, 0.06040603006318307, -0.16557798927160314, -0.04871645001493072, -0.09737850616399485, 0.2388863838591183, 0.13111948041105045, -0.07390045324185242, 0.23215783996364245, 0.17337664908084732, 0.047945287447267525, 0.07641463978469777, -0.031190390870086467, -0.0703746689728294, -0.19743375087944934, -0.09880732433894315, -0.17230077527272394, 0.09052357497589233, -0.04245843544282625, -0.1000175770604983, 0.4451207743169597, 0.11129370709367765, 0.1696383686682496, 0.013429057638859376, 0.1949944320218399, 0.03840795087251955, 0.05406959689496897, 0.09645671639830256, 0.17605843160373086, -0.03085714217591792, 0.23726189523809949, -0.1340006903792994, 0.1830482866244916, 2.2845041269484238e-05] |
708.2415 | Aging Effects Across the Metal-Insulator Transition in Two Dimensions | Aging effects in the relaxations of conductivity of a two-dimensional
electron system in Si have been studied as a function of carrier density. They
reveal an abrupt change in the nature of the glassy phase at the
metal-insulator transition (MIT): (a) while full aging is observed in the
insulating regime, there are significant departures from full aging on the
metallic side of the MIT, before the glassy phase disappears completely at a
higher density $n_g$; (b) the amplitude of the relaxations peaks just below the
MIT, and it is strongly suppressed in the insulating phase. Other aspects of
aging, including large non-Gaussian noise and similarities to spin glasses,
also have been discussed.
| cond-mat.str-el cond-mat.dis-nn | aging effects in the relaxations of conductivity of a twodimensional electron system in si have been studied as a function of carrier density they reveal an abrupt change in the nature of the glassy phase at the metalinsulator transition mit a while full aging is observed in the insulating regime there are significant departures from full aging on the metallic side of the mit before the glassy phase disappears completely at a higher density n_g b the amplitude of the relaxations peaks just below the mit and it is strongly suppressed in the insulating phase other aspects of aging including large nongaussian noise and similarities to spin glasses also have been discussed | [['aging', 'effects', 'in', 'the', 'relaxations', 'of', 'conductivity', 'of', 'a', 'twodimensional', 'electron', 'system', 'in', 'si', 'have', 'been', 'studied', 'as', 'a', 'function', 'of', 'carrier', 'density', 'they', 'reveal', 'an', 'abrupt', 'change', 'in', 'the', 'nature', 'of', 'the', 'glassy', 'phase', 'at', 'the', 'metalinsulator', 'transition', 'mit', 'a', 'while', 'full', 'aging', 'is', 'observed', 'in', 'the', 'insulating', 'regime', 'there', 'are', 'significant', 'departures', 'from', 'full', 'aging', 'on', 'the', 'metallic', 'side', 'of', 'the', 'mit', 'before', 'the', 'glassy', 'phase', 'disappears', 'completely', 'at', 'a', 'higher', 'density', 'n_g', 'b', 'the', 'amplitude', 'of', 'the', 'relaxations', 'peaks', 'just', 'below', 'the', 'mit', 'and', 'it', 'is', 'strongly', 'suppressed', 'in', 'the', 'insulating', 'phase', 'other', 'aspects', 'of', 'aging', 'including', 'large', 'nongaussian', 'noise', 'and', 'similarities', 'to', 'spin', 'glasses', 'also', 'have', 'been', 'discussed']] | [-0.10474840337077954, 0.23314897941093346, -0.10802375748088318, 0.043930411835650114, 0.03628579638773642, -0.14203294878825545, 0.05964867062201457, 0.3615858792992575, -0.2422038434638775, -0.25467046381839153, 0.1037634434292808, -0.3350721834077766, -0.1741413976082445, 0.12124085108683046, -0.004985281790141016, 0.030987117732430697, -0.05475820899508627, -0.005700908339349553, -0.16669433929304692, -0.19989189509546382, 0.2631660104962066, 0.014165954764134117, 0.3148689749983272, 0.10733394126925434, 0.03163121023577072, -0.03742958497813171, 0.10074257128871977, 0.05099897481600887, -0.1221359751320311, -0.06614981387974694, 0.25417423494426267, -0.045111245168040374, 0.2236836425394618, -0.4293804689243968, -0.25613660975691993, 0.040021377418140346, 0.08517032156669302, 0.12619924734670868, -0.056614225332201125, -0.30041227833966594, 0.025953594794762985, -0.1259331454597746, -0.09398375985827963, -0.042216283479189896, 0.04608916256568461, -0.01379700507355405, -0.20732630459990883, 0.1663730959550906, 0.10519242801404159, 0.08432962982208535, -0.06853449471860326, -0.1440533346394659, -0.049404262066153545, 0.11505900845596832, 0.060763407921643066, 0.008589767813516249, 0.1862527239884782, -0.15641808310257538, -0.05134001241198608, 0.35995147082888124, -0.043949258669662025, -0.03597439086297527, 0.2239164853152553, -0.24280837765296123, -0.10164901184283995, 0.2335914544611504, 0.13026077782602183, 0.04264551783541849, -0.12559545023084087, 0.09062365725757056, 0.02584988138447183, 0.18004754368614936, 0.02019288110230783, 0.05898197996845868, 0.25679295471387115, 0.2300860641116742, 0.013395242846205033, 0.14996682636358724, -0.08390164117320507, -0.08888667859719135, -0.2196919797404137, -0.12748474020294712, -0.2280277551284858, 0.029801635366831242, -0.07351462496002828, -0.2093146136280016, 0.40801696041099994, 0.1361873556701799, 0.20183956865886493, -0.03468354589546964, 0.24087108243007346, 0.12389170951688097, 0.07022791132840212, 0.035254343874320124, 0.26001969566901345, 0.13463794357916672, 0.1881783666467527, -0.2879263121909129, 0.13397390094801917, -0.028473614390739903] |
708.2416 | Centrality dependence of charged hadron production in deuteron+gold and
nucleon+gold collisions at sqrt(s_NN)=200 GeV | We present transverse momentum (p_T) spectra of charged hadrons measured in
deuteron-gold and nucleon-gold collisions at \sqrts = 200 GeV for four
centrality classes. Nucleon-gold collisions were selected by tagging events in
which a spectator nucleon was observed in one of two forward rapidity
detectors. The spectra and yields were investigated as a function of the number
of binary nucleon-nucleon collisions, \nu, suffered by deuteron nucleons. A
comparison of charged particle yields to those in p+p collisions show that the
yield per nucleon-nucleon collision saturates with \nu for high momentum
particles. We also present the charged hadron to neutral pion ratios as a
function of p_T.
| nucl-ex | we present transverse momentum p_t spectra of charged hadrons measured in deuterongold and nucleongold collisions at sqrts 200 gev for four centrality classes nucleongold collisions were selected by tagging events in which a spectator nucleon was observed in one of two forward rapidity detectors the spectra and yields were investigated as a function of the number of binary nucleonnucleon collisions nu suffered by deuteron nucleons a comparison of charged particle yields to those in pp collisions show that the yield per nucleonnucleon collision saturates with nu for high momentum particles we also present the charged hadron to neutral pion ratios as a function of p_t | [['we', 'present', 'transverse', 'momentum', 'p_t', 'spectra', 'of', 'charged', 'hadrons', 'measured', 'in', 'deuterongold', 'and', 'nucleongold', 'collisions', 'at', 'sqrts', '200', 'gev', 'for', 'four', 'centrality', 'classes', 'nucleongold', 'collisions', 'were', 'selected', 'by', 'tagging', 'events', 'in', 'which', 'a', 'spectator', 'nucleon', 'was', 'observed', 'in', 'one', 'of', 'two', 'forward', 'rapidity', 'detectors', 'the', 'spectra', 'and', 'yields', 'were', 'investigated', 'as', 'a', 'function', 'of', 'the', 'number', 'of', 'binary', 'nucleonnucleon', 'collisions', 'nu', 'suffered', 'by', 'deuteron', 'nucleons', 'a', 'comparison', 'of', 'charged', 'particle', 'yields', 'to', 'those', 'in', 'pp', 'collisions', 'show', 'that', 'the', 'yield', 'per', 'nucleonnucleon', 'collision', 'saturates', 'with', 'nu', 'for', 'high', 'momentum', 'particles', 'we', 'also', 'present', 'the', 'charged', 'hadron', 'to', 'neutral', 'pion', 'ratios', 'as', 'a', 'function', 'of', 'p_t']] | [-0.06293383530720852, 0.30837674566445133, -0.1532346683111295, 0.1556324117717523, 0.06023241330878538, -0.10045304035686535, -0.07489426964803518, 0.3558249344520307, -0.1322576322059319, -0.3213812262181518, -0.1755851616911156, -0.4200744637586538, 0.15060128325831543, 0.11224352445982361, 0.10146824366331679, 0.11685645227655045, 0.16464080119921456, 0.0312633176144321, -0.040408784449010075, -0.16965797672599772, 0.3178289293727467, 0.12394414840772458, 0.16317723195963693, 0.1683189600561429, 0.11826547178738181, 0.11772923391070488, -0.043381198585141924, 0.008157801118145869, -0.12612106375097018, 0.025220463433284854, 0.2945363925751841, 0.032452811862260685, 0.1211274866539153, -0.30781851632936486, -0.09599017969432097, 0.13194492558758814, 0.16400157428771547, 0.06824078480543533, -0.11459631706334795, -0.2413433821367787, 0.11795255113325254, -0.280640798792677, -0.13410580465660513, -0.04664593769544826, 0.043599324924780906, 0.0851304353332346, -0.3119250605475085, 0.14575398215618282, -0.056143176226505956, 0.077064361630089, -0.038140419775391794, -0.25093238982959715, -0.08070763343836641, -0.04003644222393632, 0.13596393272859378, 0.09486283203564332, 0.22630903661449991, -0.1552501374282603, -0.19418497105101937, 0.38678831758104193, 0.006885942024205929, -0.16046461421381503, 0.18179927245053706, -0.23285321809025933, -0.1213693853142192, 0.21655598736720758, 0.29611765432343323, 0.10793512497205758, -0.24155034195378566, 0.010302937226776866, -0.03714130414667928, 0.1786253152469408, 0.1740671286214758, 0.08107866822104468, 0.1326112811842445, 0.18611007533149196, -0.055701806029142105, 0.11176947729596506, -0.18114472710464186, -0.05035025879596044, -0.3752298868143732, -0.09763010845799903, -0.11058544202083812, 0.06474100332142044, -0.07038996371330955, -0.026241240213688427, 0.3569165969412159, 0.02916868597052051, 0.3611992940699989, -0.01002296145205178, 0.2651084967554339, 0.09010495871838942, 0.058686624769374585, 0.09321415173884445, 0.3110390451818126, 0.15118250741343042, 0.2517277073766132, -0.21295877018021148, -0.009305225246703451, 0.09251533010160749] |
708.2417 | Induced-charge Electrophoresis of Metallo-dielectric Particles | The application of AC electric fields in aqueous suspensions of anisotropic
particles leads to unbalanced liquid flows and nonlinear, induced-charge
electrophoretic (ICEP) motion. We report experimental observations of the
motion of "Janus" microparticles with one dielectric and one metal-coated
hemisphere induced by uniform fields of frequency 100 Hz - 10 kHz in NaCl
solutions. The motion is perpendicular to the field axis and persists after
particles are attracted to a glass wall. This phenomenon may find applications
in microactuators, microsensors, and microfluidic devices.
| physics.flu-dyn | the application of ac electric fields in aqueous suspensions of anisotropic particles leads to unbalanced liquid flows and nonlinear inducedcharge electrophoretic icep motion we report experimental observations of the motion of janus microparticles with one dielectric and one metalcoated hemisphere induced by uniform fields of frequency 100 hz 10 khz in nacl solutions the motion is perpendicular to the field axis and persists after particles are attracted to a glass wall this phenomenon may find applications in microactuators microsensors and microfluidic devices | [['the', 'application', 'of', 'ac', 'electric', 'fields', 'in', 'aqueous', 'suspensions', 'of', 'anisotropic', 'particles', 'leads', 'to', 'unbalanced', 'liquid', 'flows', 'and', 'nonlinear', 'inducedcharge', 'electrophoretic', 'icep', 'motion', 'we', 'report', 'experimental', 'observations', 'of', 'the', 'motion', 'of', 'janus', 'microparticles', 'with', 'one', 'dielectric', 'and', 'one', 'metalcoated', 'hemisphere', 'induced', 'by', 'uniform', 'fields', 'of', 'frequency', '100', 'hz', '10', 'khz', 'in', 'nacl', 'solutions', 'the', 'motion', 'is', 'perpendicular', 'to', 'the', 'field', 'axis', 'and', 'persists', 'after', 'particles', 'are', 'attracted', 'to', 'a', 'glass', 'wall', 'this', 'phenomenon', 'may', 'find', 'applications', 'in', 'microactuators', 'microsensors', 'and', 'microfluidic', 'devices']] | [-0.18013348078877642, 0.2520977258767433, -0.006581548561637358, -0.08945820097550296, -0.07945040482516605, -0.12147621736327958, -0.021944226218648707, 0.42377383602646795, -0.2118886053766601, -0.2913401858091763, 0.07843737306766121, -0.2865105171846907, -0.10667096925672234, 0.20566646568477154, -0.04974471942362625, 0.03377510484580586, 0.025639572407959436, -0.051431672437479946, 0.02032367745840286, -0.14753206318390566, 0.15619769643015433, -0.028403737628761475, 0.3182311223183827, 0.08960060111996604, 0.13860511381133664, -0.029612243959180464, 0.08271089822008479, 0.04253579332016227, -0.17402128265352873, 0.07176491782415613, 0.21228691567553254, -0.09728274419449451, 0.20305036092404186, -0.48340759261670274, -0.1938573173133702, 0.04583965321980053, 0.12514396104109815, 0.1429911303197647, -0.12155231480236824, -0.2683262521310187, 0.03447536747084885, -0.12886997893816088, -0.19088418523638323, -0.032590070699636896, 0.06277303667540275, 0.08268423469292806, -0.24579349177940635, 0.17303305216951342, 0.05706346552625934, 0.09729136408465665, -0.12781965578909787, -0.07795532537260796, 0.008375459827664421, 0.04507637733775305, 0.11920726686295849, 0.02368017476017973, 0.3147014489613201, -0.15486954912123066, -0.1148756921189133, 0.4051991659557311, -0.07643957175995882, -0.15869944527366897, 0.2226357164838147, -0.20061121095630635, 0.004948182162124573, 0.21279300892407574, 0.19558481030768102, 0.12450433295878877, -0.15663295958571635, 0.03641480810247452, 0.015307992657010511, 0.15637020666362356, 0.1560994293824656, -0.037919993671338734, 0.2627806267076422, 0.1936745363083191, 0.041533264149798126, 0.1941681879277273, -0.14487996974977005, -0.0495566234287874, -0.15624650522339634, -0.17429191762263455, -0.13026525654898183, 0.06305667024287509, -0.09385482633483551, -0.16895164760601958, 0.35135888967027024, 0.12629918105014395, 0.1156006827382598, -0.05676232292544006, 0.26463248212708207, -0.0038437605494769608, 0.06360388624413711, 0.025060598272830248, 0.3117681569987681, 0.18420714336992583, 0.21656114646665206, -0.23059703313700128, -0.027722708227839774, -0.003176830129743349] |
708.2418 | Local aging phenomena close to magnetic surfaces | Surface aging phenomena are discussed for semi-infinite systems prepared in a
fully disordered initial state and then quenched to or below the critical
point. Besides solving exactly the semi-infinite Ising model in the limit of
large dimensions, we also present results of an extensive numerical study of
the nonequilibrium dynamical behavior of the two-dimensional semi-infinite
Ising model undergoing coarsening. The studied models reveal a simple aging
behavior where some of the nonequilibrium surface exponents take on values that
differ from their bulk counterparts. For the two-dimensional semi-infinite
Ising model we find that the exponent $b_1$, that describes the scaling
behavior of the surface autocorrelation, vanishes. These simulations also
reveal the existence of strong finite-time corrections that to some extent mask
the leading scaling behavior of the studied two-time quantities.
| cond-mat.stat-mech | surface aging phenomena are discussed for semiinfinite systems prepared in a fully disordered initial state and then quenched to or below the critical point besides solving exactly the semiinfinite ising model in the limit of large dimensions we also present results of an extensive numerical study of the nonequilibrium dynamical behavior of the twodimensional semiinfinite ising model undergoing coarsening the studied models reveal a simple aging behavior where some of the nonequilibrium surface exponents take on values that differ from their bulk counterparts for the twodimensional semiinfinite ising model we find that the exponent b_1 that describes the scaling behavior of the surface autocorrelation vanishes these simulations also reveal the existence of strong finitetime corrections that to some extent mask the leading scaling behavior of the studied twotime quantities | [['surface', 'aging', 'phenomena', 'are', 'discussed', 'for', 'semiinfinite', 'systems', 'prepared', 'in', 'a', 'fully', 'disordered', 'initial', 'state', 'and', 'then', 'quenched', 'to', 'or', 'below', 'the', 'critical', 'point', 'besides', 'solving', 'exactly', 'the', 'semiinfinite', 'ising', 'model', 'in', 'the', 'limit', 'of', 'large', 'dimensions', 'we', 'also', 'present', 'results', 'of', 'an', 'extensive', 'numerical', 'study', 'of', 'the', 'nonequilibrium', 'dynamical', 'behavior', 'of', 'the', 'twodimensional', 'semiinfinite', 'ising', 'model', 'undergoing', 'coarsening', 'the', 'studied', 'models', 'reveal', 'a', 'simple', 'aging', 'behavior', 'where', 'some', 'of', 'the', 'nonequilibrium', 'surface', 'exponents', 'take', 'on', 'values', 'that', 'differ', 'from', 'their', 'bulk', 'counterparts', 'for', 'the', 'twodimensional', 'semiinfinite', 'ising', 'model', 'we', 'find', 'that', 'the', 'exponent', 'b_1', 'that', 'describes', 'the', 'scaling', 'behavior', 'of', 'the', 'surface', 'autocorrelation', 'vanishes', 'these', 'simulations', 'also', 'reveal', 'the', 'existence', 'of', 'strong', 'finitetime', 'corrections', 'that', 'to', 'some', 'extent', 'mask', 'the', 'leading', 'scaling', 'behavior', 'of', 'the', 'studied', 'twotime', 'quantities']] | [-0.14109776643025437, 0.16642405046251613, -0.10484909762938817, 0.05793701743620426, 0.014461962298161617, -0.154561625902772, 0.012681302970073135, 0.33725604437049767, -0.2587010098220564, -0.2060897677934678, 0.09056559084308181, -0.3014620719676072, -0.1797137437189763, 0.1914778381239536, 0.06928384473345192, 0.0807467374812799, 0.006690866588217805, -0.019260919890222102, -0.1251901587680733, -0.22497029333272064, 0.3127249279817523, -0.009441896767694821, 0.305979163234317, 0.06412227759354336, 0.046830947853826965, 0.0004199420340185942, 0.06939669380816378, 0.06932961291366423, -0.22421134012149352, 0.01270687801297754, 0.19050529197728927, -0.032045376021414995, 0.21042801179497164, -0.4411817448170379, -0.24447726735541986, 0.07186826870437393, 0.14261712453891198, 0.11705230831984402, -0.0292666775919858, -0.25988938042879567, 0.054717804222230534, -0.12731242374979074, -0.2002609322287951, -0.05244017599959128, 0.005734017313739588, 0.036101601727292404, -0.2140015368385948, 0.14573105650930485, 0.09024609703017406, 0.07687127455173767, -0.0905517046484201, -0.08743902595439391, -0.04880047934274225, 0.16809146259207453, 0.04573269075237561, -0.02900810102578397, 0.1422810863140364, -0.17838326798997414, -0.11949100817080818, 0.34449520354816154, -0.02886024326385656, -0.18072927406765232, 0.2270994568369965, -0.19025226867967104, -0.12017029691343159, 0.12254339323718419, 0.18063334521815874, 0.08559597130863053, -0.15845767479361028, 0.08843638623709062, -0.036085568577802, 0.1640204214466133, -0.0035071823287524226, -0.0014140146437945755, 0.2120987602153995, 0.1652969878686722, -0.014852096573918942, 0.20951119668298046, -0.04734256641051277, -0.19906899532259897, -0.3191336232215859, -0.12504447945357525, -0.21174895435629426, 0.0949641618509452, -0.12498092995006717, -0.24509675448847024, 0.3762923741474921, 0.19352518351633072, 0.21320372554220896, 0.07953710106649083, 0.20380620154472748, 0.1476104747388483, 0.004028888410246072, 0.05910734739154577, 0.23164992958041947, 0.11790697986274495, 0.09986270038237752, -0.2794077004677825, 0.04650859022332543, 0.08682355943655726] |
708.2419 | A Path Integral Method for Coarse-Graining Noise in Stochastic
Differential Equations with Multiple Time Scales | We present a new path integral method to analyze stochastically perturbed
ordinary differential equations with multiple time scales. The objective of
this method is to derive from the original system a new stochastic differential
equation describing the system's evolution on slow time scales. For this
purpose, we start from the corresponding path integral representation of the
stochastic system and apply a multi-scale expansion to the associated path
integral kernel of the corresponding Lagrangian. As a concrete example, we
apply this expansion to a system that arises in the study of random dispersion
fluctuations in dispersion-managed fiber optic communications. Moreover, we
show that, for this particular example, the new path integration method yields
the same result at leading order as an asymptotic expansion of the associated
Fokker-Planck equation.
| nlin.PS nlin.SI | we present a new path integral method to analyze stochastically perturbed ordinary differential equations with multiple time scales the objective of this method is to derive from the original system a new stochastic differential equation describing the systems evolution on slow time scales for this purpose we start from the corresponding path integral representation of the stochastic system and apply a multiscale expansion to the associated path integral kernel of the corresponding lagrangian as a concrete example we apply this expansion to a system that arises in the study of random dispersion fluctuations in dispersionmanaged fiber optic communications moreover we show that for this particular example the new path integration method yields the same result at leading order as an asymptotic expansion of the associated fokkerplanck equation | [['we', 'present', 'a', 'new', 'path', 'integral', 'method', 'to', 'analyze', 'stochastically', 'perturbed', 'ordinary', 'differential', 'equations', 'with', 'multiple', 'time', 'scales', 'the', 'objective', 'of', 'this', 'method', 'is', 'to', 'derive', 'from', 'the', 'original', 'system', 'a', 'new', 'stochastic', 'differential', 'equation', 'describing', 'the', 'systems', 'evolution', 'on', 'slow', 'time', 'scales', 'for', 'this', 'purpose', 'we', 'start', 'from', 'the', 'corresponding', 'path', 'integral', 'representation', 'of', 'the', 'stochastic', 'system', 'and', 'apply', 'a', 'multiscale', 'expansion', 'to', 'the', 'associated', 'path', 'integral', 'kernel', 'of', 'the', 'corresponding', 'lagrangian', 'as', 'a', 'concrete', 'example', 'we', 'apply', 'this', 'expansion', 'to', 'a', 'system', 'that', 'arises', 'in', 'the', 'study', 'of', 'random', 'dispersion', 'fluctuations', 'in', 'dispersionmanaged', 'fiber', 'optic', 'communications', 'moreover', 'we', 'show', 'that', 'for', 'this', 'particular', 'example', 'the', 'new', 'path', 'integration', 'method', 'yields', 'the', 'same', 'result', 'at', 'leading', 'order', 'as', 'an', 'asymptotic', 'expansion', 'of', 'the', 'associated', 'fokkerplanck', 'equation']] | [-0.15686917321859148, 0.046449439338977654, -0.14414334736808432, 0.05709219211437483, -0.08169795880020839, -0.06273944861820246, -0.01852473454535242, 0.327793193937052, -0.34074959182180464, -0.2467405739438346, 0.10142649370465633, -0.24989857397034881, -0.20119794792547, 0.20746058850607826, -0.03823154671190996, 0.053793055955027265, 0.08439030677197486, 0.060829976201424094, -0.0661137901589377, -0.18251549596274932, 0.34850828528521566, 0.025210005905860523, 0.22442287838042485, -0.04262041511732762, 0.18606089185611674, 0.019035376709203904, -0.04112762702614304, 0.009669533886719407, -0.15156136977902931, 0.14772819086733296, 0.19538560100119767, 0.06286488316300523, 0.2870918487704645, -0.4110741563816005, -0.20337781285881762, 0.06904104659993818, 0.1580947991235981, 0.14474185520240407, -0.022563068105428533, -0.24734158981884793, 0.044416656845989895, -0.18271607018303215, -0.2049786857270643, -0.06604755151371552, -0.010981444812079114, 0.049524007201942756, -0.2667782707213182, 0.09064688698175973, 0.03336800334931124, -0.0034662536173549253, -0.07885414049557345, -0.05662121633746053, 0.027235678158788464, 0.09799952982873546, 0.00984567114496677, 0.012974488286770822, 0.0592402155386416, -0.1072751190916701, -0.10197283666192253, 0.3671944582996171, -0.12854926184637427, -0.19277087295442585, 0.16031184871717702, -0.1258453041604742, -0.12311630916055732, 0.1620853203733811, 0.22288991387669496, 0.15971638883352207, -0.21084704571293564, 0.07353310938878718, 0.006066843295308549, 0.1240393154205769, 0.03566437134680551, 0.015292847983715102, 0.1067499702965463, 0.17650861014001526, 0.09884260776709383, 0.16764801861644965, -0.06463975697942811, -0.1460034970861427, -0.35865287221354014, -0.20804724718469716, -0.158551476477814, 0.07234856740234229, -0.11777289170489048, -0.17463290042749893, 0.3735861832818647, 0.19068317855598302, 0.18949566348859176, 0.10068735712222521, 0.2919098515701517, 0.22149502131794616, 0.028106422194254063, 0.053251028614573356, 0.16212739874645482, 0.13385469907176073, 0.14695279942238776, -0.2633609165855515, -0.0018224905512669658, 0.13608102420872942] |
708.242 | New Radio Sources and the Composite Structure of Component B in the Very
Young Protostellar System IRAS 16293-2422 | In this article, we report high-resolution (~ 0.1" -- 0.3"), high-sensitivity
(~ 50 -100 uJy beam-1) Very Large Array 0.7 and 1.3 cm observations of the
young stellar system IRAS 16293-2422 in rho-Ophiuchus. In the 0.7 cm image,
component A to the south-east of the system looks like its usual binary self.
In the new 1.3 cm image, however, component A2 appears to have split into two
sub-components located roughly symmetrically around the original position of
A2. This change of morphology is likely the result of a recent bipolar
ejection, one of the very first such events observed in a low-mass source. Also
in component A, a marginal detection of 0.7 cm emission associated with the
submillimeter component Ab is reported. If confirmed, this detection would
imply that Ab is a relatively extended dusty structure, where grain coagulation
may already have taken place. With an angular size increasing with frequency,
and an overall spectra index of 2, the emission from component B to the
north-west of the system is confirmed to be dominated by optically thick
thermal dust emission associated with a fairly massive, nearly face-on,
circumstellar disk. In the central region, however, we find evidence for a
modest free-free contribution that originates in a structure elongated roughly
in the east-west direction. We argue that this free-free component traces the
base of the jet driving the large-scale bipolar flow at a position angle of
about 110 degrees that has long been known to be powered by IRAS 16293-2422.
| astro-ph | in this article we report highresolution 01 03 highsensitivity 50 100 ujy beam1 very large array 07 and 13 cm observations of the young stellar system iras 162932422 in rhoophiuchus in the 07 cm image component a to the southeast of the system looks like its usual binary self in the new 13 cm image however component a2 appears to have split into two subcomponents located roughly symmetrically around the original position of a2 this change of morphology is likely the result of a recent bipolar ejection one of the very first such events observed in a lowmass source also in component a a marginal detection of 07 cm emission associated with the submillimeter component ab is reported if confirmed this detection would imply that ab is a relatively extended dusty structure where grain coagulation may already have taken place with an angular size increasing with frequency and an overall spectra index of 2 the emission from component b to the northwest of the system is confirmed to be dominated by optically thick thermal dust emission associated with a fairly massive nearly faceon circumstellar disk in the central region however we find evidence for a modest freefree contribution that originates in a structure elongated roughly in the eastwest direction we argue that this freefree component traces the base of the jet driving the largescale bipolar flow at a position angle of about 110 degrees that has long been known to be powered by iras 162932422 | [['in', 'this', 'article', 'we', 'report', 'highresolution', '01', '03', 'highsensitivity', '50', '100', 'ujy', 'beam1', 'very', 'large', 'array', '07', 'and', '13', 'cm', 'observations', 'of', 'the', 'young', 'stellar', 'system', 'iras', '162932422', 'in', 'rhoophiuchus', 'in', 'the', '07', 'cm', 'image', 'component', 'a', 'to', 'the', 'southeast', 'of', 'the', 'system', 'looks', 'like', 'its', 'usual', 'binary', 'self', 'in', 'the', 'new', '13', 'cm', 'image', 'however', 'component', 'a2', 'appears', 'to', 'have', 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708.2421 | Propagation of large concentration changes in reversible protein binding
networks | We study how the dynamic equilibrium of the reversible protein-protein
binding network in yeast Saccharomyces cerevisiae responds to large changes in
abundances of individual proteins. The magnitude of shifts between free and
bound concentrations of their immediate and more distant neighbors in the
network is influenced by such factors as the network topology, the distribution
of protein concentrations among its nodes, and the average binding strength.
Our primary conclusion is that, on average, the effects of a perturbation are
strongly localized and exponentially decay with the network distance away from
the perturbed node, which explains why, despite globally connected topology,
individual functional modules in such networks are able to operate fairly
independently. We also found that under specific favorable conditions, realized
in a significant number of paths in the yeast network, concentration
perturbations can selectively propagate over considerable network distances (up
to four steps). Such "action-at-a-distance" requires high concentrations of
heterodimers along the path as well as low free (unbound) concentration of
intermediate proteins.
| q-bio.MN q-bio.BM | we study how the dynamic equilibrium of the reversible proteinprotein binding network in yeast saccharomyces cerevisiae responds to large changes in abundances of individual proteins the magnitude of shifts between free and bound concentrations of their immediate and more distant neighbors in the network is influenced by such factors as the network topology the distribution of protein concentrations among its nodes and the average binding strength our primary conclusion is that on average the effects of a perturbation are strongly localized and exponentially decay with the network distance away from the perturbed node which explains why despite globally connected topology individual functional modules in such networks are able to operate fairly independently we also found that under specific favorable conditions realized in a significant number of paths in the yeast network concentration perturbations can selectively propagate over considerable network distances up to four steps such actionatadistance requires high concentrations of heterodimers along the path as well as low free unbound concentration of intermediate proteins | [['we', 'study', 'how', 'the', 'dynamic', 'equilibrium', 'of', 'the', 'reversible', 'proteinprotein', 'binding', 'network', 'in', 'yeast', 'saccharomyces', 'cerevisiae', 'responds', 'to', 'large', 'changes', 'in', 'abundances', 'of', 'individual', 'proteins', 'the', 'magnitude', 'of', 'shifts', 'between', 'free', 'and', 'bound', 'concentrations', 'of', 'their', 'immediate', 'and', 'more', 'distant', 'neighbors', 'in', 'the', 'network', 'is', 'influenced', 'by', 'such', 'factors', 'as', 'the', 'network', 'topology', 'the', 'distribution', 'of', 'protein', 'concentrations', 'among', 'its', 'nodes', 'and', 'the', 'average', 'binding', 'strength', 'our', 'primary', 'conclusion', 'is', 'that', 'on', 'average', 'the', 'effects', 'of', 'a', 'perturbation', 'are', 'strongly', 'localized', 'and', 'exponentially', 'decay', 'with', 'the', 'network', 'distance', 'away', 'from', 'the', 'perturbed', 'node', 'which', 'explains', 'why', 'despite', 'globally', 'connected', 'topology', 'individual', 'functional', 'modules', 'in', 'such', 'networks', 'are', 'able', 'to', 'operate', 'fairly', 'independently', 'we', 'also', 'found', 'that', 'under', 'specific', 'favorable', 'conditions', 'realized', 'in', 'a', 'significant', 'number', 'of', 'paths', 'in', 'the', 'yeast', 'network', 'concentration', 'perturbations', 'can', 'selectively', 'propagate', 'over', 'considerable', 'network', 'distances', 'up', 'to', 'four', 'steps', 'such', 'actionatadistance', 'requires', 'high', 'concentrations', 'of', 'heterodimers', 'along', 'the', 'path', 'as', 'well', 'as', 'low', 'free', 'unbound', 'concentration', 'of', 'intermediate', 'proteins']] | [-0.14089826353230775, 0.1745541762310739, -0.009212800701966554, 0.06313639802988846, 0.00539779038418357, -0.12750140607368382, 0.08945140711361224, 0.4102383768299549, -0.29068247810369585, -0.31980596018228225, -0.002360128411432592, -0.28902632804451195, -0.18867752589242784, 0.13622273888620662, -0.03772979088854499, -0.012684572931370562, 0.08252080734435856, 0.08841431092629891, 0.01250526598915912, -0.22412121518537764, 0.27739153047900245, 0.08922258188959392, 0.2887422892722165, 0.06451363106671346, 0.06763158578187137, -0.026835144889291104, 0.03527360375709378, 0.047295595182776, -0.10686061334011511, 0.13793132057106983, 0.25414355748172257, 0.10910702641008467, 0.26436708086963867, -0.4711954878279712, -0.22580085354692106, 0.11001943613164036, 0.16907482136114751, 0.13022457492160155, -0.005250015091339109, -0.26346035611179724, 0.09505681836943529, -0.14589228982492009, -0.11519070950098245, -0.05162900758952629, 0.05005365992589604, 0.11070831425391456, -0.21487535860406506, 0.11341797213887131, 0.006132826933824662, 0.04543207326290629, -0.09414519484100932, -0.10470194053813452, -0.11839152842038879, 0.21839290687802998, 0.07683683219422563, 0.023446702368546096, 0.23230531997694748, -0.11062251580538364, -0.05704444471076585, 0.3250266927615285, -0.0549980483653887, -0.17179407355540274, 0.22538370167177807, -0.12074908901789658, -0.13854222216007367, 0.13678174282753522, 0.1658020217508282, 0.11569236132043709, -0.16111065546106035, 0.02524007035851643, 0.010839952220543993, 0.17707694778871927, 0.09655402445450152, 0.039008919740232025, 0.16118686734940949, 0.17698495240353912, 0.10553736082298068, 0.11412611572680961, -0.08429537752001523, -0.11082544649678577, -0.2249591091488738, -0.10418939634322802, -0.1739696177381386, 0.059260942305228104, -0.1258936167304921, -0.1660384298670024, 0.41026748020468823, 0.10412577950126256, 0.23119146319492379, 0.05593962883988463, 0.228667174948652, 0.004781921645456062, 0.11611518647277547, 0.06559700062839179, 0.21347626813164935, 0.1070610184815894, 0.060714553285634326, -0.24268762978140218, 0.15799910049862798, -0.0021313222628455927] |
708.2422 | Direct Microlensing-Reverberation Observations of the Intrinsic magnetic
Structure of AGN in Different Spectral States: A Tale of Two Quasars | We show how direct microlensing-reverberation analysis performed on two
well-known Quasars (Q2237 - The Einstein Cross and Q0957 - The Twin) can be
used to observe the inner structure of two quasars which are in significantly
different spectral states. These observations allow us to measure the detailed
internal structure of quasar Q2237 in a radio quiet high-soft state, and
compare it to quasar Q0957 in a radio loud low-hard state. We find that the
observed differences in the spectral states of these two quasars can be
understood as being due to the location of the inner radii of their accretion
disks relative to the co-rotation radii of rotating intrinsically magnetic
supermassive compact objects in the centers of these quasars.
| astro-ph | we show how direct microlensingreverberation analysis performed on two wellknown quasars q2237 the einstein cross and q0957 the twin can be used to observe the inner structure of two quasars which are in significantly different spectral states these observations allow us to measure the detailed internal structure of quasar q2237 in a radio quiet highsoft state and compare it to quasar q0957 in a radio loud lowhard state we find that the observed differences in the spectral states of these two quasars can be understood as being due to the location of the inner radii of their accretion disks relative to the corotation radii of rotating intrinsically magnetic supermassive compact objects in the centers of these quasars | [['we', 'show', 'how', 'direct', 'microlensingreverberation', 'analysis', 'performed', 'on', 'two', 'wellknown', 'quasars', 'q2237', 'the', 'einstein', 'cross', 'and', 'q0957', 'the', 'twin', 'can', 'be', 'used', 'to', 'observe', 'the', 'inner', 'structure', 'of', 'two', 'quasars', 'which', 'are', 'in', 'significantly', 'different', 'spectral', 'states', 'these', 'observations', 'allow', 'us', 'to', 'measure', 'the', 'detailed', 'internal', 'structure', 'of', 'quasar', 'q2237', 'in', 'a', 'radio', 'quiet', 'highsoft', 'state', 'and', 'compare', 'it', 'to', 'quasar', 'q0957', 'in', 'a', 'radio', 'loud', 'lowhard', 'state', 'we', 'find', 'that', 'the', 'observed', 'differences', 'in', 'the', 'spectral', 'states', 'of', 'these', 'two', 'quasars', 'can', 'be', 'understood', 'as', 'being', 'due', 'to', 'the', 'location', 'of', 'the', 'inner', 'radii', 'of', 'their', 'accretion', 'disks', 'relative', 'to', 'the', 'corotation', 'radii', 'of', 'rotating', 'intrinsically', 'magnetic', 'supermassive', 'compact', 'objects', 'in', 'the', 'centers', 'of', 'these', 'quasars']] | [-0.0804502292017436, 0.11079127196908782, -0.07866435502083939, 0.15185970049188063, -0.11283353390989073, -0.07307374344223685, 0.015851704561020852, 0.4578633826356708, -0.1772681605887779, -0.3260174755889334, 0.07458532694625064, -0.268923020978834, -0.03086714488209078, 0.1978085386896661, -0.025937347721896674, -0.003954040924119845, 0.02450754172413757, -0.06330234034746689, -0.05104055113298001, -0.21619266408021776, 0.3430376171783887, 0.05006600602676994, 0.1919598781193296, -0.04413914057556866, 0.03304518735456983, -0.11951779205813645, -0.05563316644187771, 0.03994423240063745, -0.10500384664007006, 0.09202653555538538, 0.30317864709190634, 0.13607197928471132, 0.1945804412999566, -0.3738043317081113, -0.17974286125727781, 0.08074772650000166, 0.16661381091219946, 0.0651502003597112, 0.008709474503503819, -0.30645301143981907, 0.08937146227904841, -0.20120985851635373, -0.14451288076101296, 0.013222020054072664, 0.005003415378987005, 0.017245525788319737, -0.15432562067412378, 0.10124398945226219, 0.05601578505063611, 0.00484437195649534, -0.1331793360959477, -0.05116526466148922, -0.07876155514417119, 0.12327607110828946, 0.05829072812890732, 0.008512470899803335, 0.17875267102448433, -0.10502773204005503, -0.11489716886640772, 0.3663594230290568, -0.037915459648693764, -0.051674436361185815, 0.24327674872454322, -0.25514711993501377, -0.142713906519164, 0.11808140215610988, 0.2044536139276859, 0.14714489263286323, -0.07665281510082678, -0.036568767482030876, -0.03916248275792193, 0.22909832398280533, 0.03955330542419432, 0.10254780512319453, 0.33544528909975235, 0.04419676709528032, 0.03505631144620119, 0.13708431352330208, -0.2042016755409637, -0.0417942727115332, -0.21957508127691158, -0.09499251614978309, -0.144509752656807, 0.1165072300211984, -0.1116722555521655, -0.1445414177428016, 0.39024974207246776, 0.08952805719322018, 0.2740497817448749, 0.007141941990866734, 0.2875245452548067, 0.06265364733234603, 0.06942803954415579, 0.13218072730753766, 0.3909327572930539, 0.1748587585364779, 0.09869503402845575, -0.2589190517421485, 0.02878880935206421, 0.014301846490094536] |
708.2423 | Zero minors of the neutrino mass matrix | We examine the possibility that a certain class of neutrino mass matrices,
namely those with two independent vanishing minors in the flavor basis,
regardless of being invertible or not, is sufficient to describe current data.
We compute generic formulae for the ratios of the neutrino masses and for the
Majorana phases. We find that seven textures with two vanishing minors can
accommodate the experimental data. We present an estimate of the mass matrix
for these patterns. All the possible textures can be dynamically generated
through the seesaw mechanism augmented with a discrete Abelian symmetry.
| hep-ph | we examine the possibility that a certain class of neutrino mass matrices namely those with two independent vanishing minors in the flavor basis regardless of being invertible or not is sufficient to describe current data we compute generic formulae for the ratios of the neutrino masses and for the majorana phases we find that seven textures with two vanishing minors can accommodate the experimental data we present an estimate of the mass matrix for these patterns all the possible textures can be dynamically generated through the seesaw mechanism augmented with a discrete abelian symmetry | [['we', 'examine', 'the', 'possibility', 'that', 'a', 'certain', 'class', 'of', 'neutrino', 'mass', 'matrices', 'namely', 'those', 'with', 'two', 'independent', 'vanishing', 'minors', 'in', 'the', 'flavor', 'basis', 'regardless', 'of', 'being', 'invertible', 'or', 'not', 'is', 'sufficient', 'to', 'describe', 'current', 'data', 'we', 'compute', 'generic', 'formulae', 'for', 'the', 'ratios', 'of', 'the', 'neutrino', 'masses', 'and', 'for', 'the', 'majorana', 'phases', 'we', 'find', 'that', 'seven', 'textures', 'with', 'two', 'vanishing', 'minors', 'can', 'accommodate', 'the', 'experimental', 'data', 'we', 'present', 'an', 'estimate', 'of', 'the', 'mass', 'matrix', 'for', 'these', 'patterns', 'all', 'the', 'possible', 'textures', 'can', 'be', 'dynamically', 'generated', 'through', 'the', 'seesaw', 'mechanism', 'augmented', 'with', 'a', 'discrete', 'abelian', 'symmetry']] | [-0.14588914359325267, 0.23586240779177195, 0.011897065716379501, 0.12102843957403278, -0.07438393883862869, -0.12569765122409196, 0.022584038640451717, 0.3584932518152005, -0.24655679664871794, -0.2883982631883168, 0.13855467301402044, -0.24999036247584414, -0.10624478986310931, 0.14422056953511894, 0.003071323274932009, 0.025491779868273026, 0.02751203741818825, 0.012755821937041239, -0.1485159370002951, -0.23409715960634517, 0.38015727478852296, -0.030523986411974468, 0.24428727662071903, 0.059293769666568394, 0.08600533522041316, -0.04625350814015466, -0.03725148038257488, -0.04915397483954563, -0.08425889586354235, 0.06584744295848415, 0.2131819480663522, 0.13518714446361124, 0.10266073196730081, -0.42984318600452326, -0.13409696444819502, 0.22542480490804512, 0.13328020292472967, 0.12930191898758106, -0.08088583643350036, -0.25861757878273567, 0.1410562426862406, -0.20299584249113786, -0.16616234349760603, -0.1185012607305172, -0.014313461888145576, -0.03032458430909096, -0.3374920650137628, 0.051923896621991976, 0.005411175158905222, 0.005944999675464599, -0.05776285953037044, -0.14632971823076776, -0.03887509096394035, 0.09239537378109278, 0.06924615410760918, -0.09373265913529123, 0.09136543165956762, -0.11764194162443598, -0.12071617882936558, 0.38476219520089217, -0.05874572091418853, -0.22318392665065984, 0.14033816919285566, -0.13737493153538263, -0.1360227041283345, 0.09121554061532655, 0.13136254540307724, 0.09175170377947073, -0.1669893371773527, 0.07082692253777381, -0.13643430086209418, 0.12322654732517858, 0.018798910445494064, 0.017027712391164313, 0.27251697782466705, 0.12371718841406734, 0.06924673139137473, 0.06586849908319678, -0.09103718561620669, -0.03692878701568066, -0.340429970162346, -0.12845523406236253, -0.15676156677023328, 0.0477115922247399, -0.12450057589136278, -0.16390903365421802, 0.47651325423825297, 0.16218152990629103, 0.2501616600029012, 0.08275029223435187, 0.237902940984102, 0.08558934789950999, 0.11159968417771954, 0.04354667477805088, 0.23074861203736446, 0.13653446665588528, 0.030163323607492666, -0.21401394833810627, 0.04217475582381086, 0.10877449943980033] |
708.2424 | Cosmic Reionization and the 21-cm signal: Comparison between an
analytical model and a simulation | We measure several properties of the reionization process and the
corresponding low-frequency 21-cm signal associated with the neutral hydrogen
distribution, using a large volume, high resolution simulation of cosmic
reionization. The brightness temperature of the 21-cm signal is derived by
post-processing this numerical simulation with a semi-analytical prescription.
Our study extends to high redshifts (z ~ 25) where, in addition to collisional
coupling, our post-processed simulations take into account the inhomogeneities
in the heating of the neutral gas by X-rays and the effect of an inhomogeneous
Lya radiation field. Unlike the well-studied case where spin temperature is
assumed to be significantly greater than the temperature of the cosmic
microwave background due to uniform heating of the gas by X-rays, spatial
fluctuations in both the Lya radiation field and X-ray intensity impact
predictions related to the brightness temperature at z > 10, during the early
stages of reionization and gas heating. The statistics of the 21-cm signal from
our simulation are then compared to existing analytical models in the
literature and we find that these analytical models provide a reasonably
accurate description of the 21-cm power spectrum at z < 10. Such an agreement
is useful since analytical models are better suited to quickly explore the full
astrophysical and cosmological parameter space relevant for future 21-cm
surveys. We find, nevertheless, non-negligible differences that can be
attributed to differences in the inhomogeneous X-ray heating and Lya coupling
at z > 10 and, with upcoming interferometric data, these differences in return
can provide a way to better understand the astrophysical processes during
reionization.
| astro-ph | we measure several properties of the reionization process and the corresponding lowfrequency 21cm signal associated with the neutral hydrogen distribution using a large volume high resolution simulation of cosmic reionization the brightness temperature of the 21cm signal is derived by postprocessing this numerical simulation with a semianalytical prescription our study extends to high redshifts z 25 where in addition to collisional coupling our postprocessed simulations take into account the inhomogeneities in the heating of the neutral gas by xrays and the effect of an inhomogeneous lya radiation field unlike the wellstudied case where spin temperature is assumed to be significantly greater than the temperature of the cosmic microwave background due to uniform heating of the gas by xrays spatial fluctuations in both the lya radiation field and xray intensity impact predictions related to the brightness temperature at z 10 during the early stages of reionization and gas heating the statistics of the 21cm signal from our simulation are then compared to existing analytical models in the literature and we find that these analytical models provide a reasonably accurate description of the 21cm power spectrum at z 10 such an agreement is useful since analytical models are better suited to quickly explore the full astrophysical and cosmological parameter space relevant for future 21cm surveys we find nevertheless nonnegligible differences that can be attributed to differences in the inhomogeneous xray heating and lya coupling at z 10 and with upcoming interferometric data these differences in return can provide a way to better understand the astrophysical processes during reionization | [['we', 'measure', 'several', 'properties', 'of', 'the', 'reionization', 'process', 'and', 'the', 'corresponding', 'lowfrequency', '21cm', 'signal', 'associated', 'with', 'the', 'neutral', 'hydrogen', 'distribution', 'using', 'a', 'large', 'volume', 'high', 'resolution', 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708.2425 | Cosmological HII Bubble Growth During Reionization | We present general properties of ionized hydrogen (HII) bubbles and their
growth based on a state-of-the-art large-scale (100 Mpc/h) cosmological
radiative transfer simulation. The simulation resolves all halos with atomic
cooling at the relevant redshifts and simultaneously performs radiative
transfer and dynamical evolution of structure formation. Our major conclusions
include: (1) for significant HII bubbles, the number distribution is peaked at
a volume of $\sim 0.6 {\rm Mpc^{3}/h^{3}}$ at all redshifts. But, at $z\le 10$,
one large, connected network of bubbles dominates the entire HII volume. (2)
HII bubbles are highly non-spherical. (3) The HII regions are highly biased
with respect to the underlying matter distribution with the bias decreasing
with time. (4) The non-gaussianity of the HII region is small when the universe
becomes 50% ionized. The non-gaussianity reaches its maximal near the end of
the reionization epoch $z\sim 6$. But at all redshifts of interest there is a
significant non-gaussianity in the HII field. (5) Population III galaxies may
play a significant role in the reionization process. Small bubbles are
initially largely produced by Pop III stars. At $z\ge 10$ even the largest HII
bubbles have a balanced ionizing photon contribution from Pop II and Pop III
stars, while at $z\le 8$ Pop II stars start to dominate the overall ionizing
photon production for large bubbles, although Pop III stars continue to make a
non-negligible contribution. (6) The relationship between halo number density
and bubble size is complicated but a strong correlation is found between halo
number density and bubble size for large bubbles.
| astro-ph | we present general properties of ionized hydrogen hii bubbles and their growth based on a stateoftheart largescale 100 mpch cosmological radiative transfer simulation the simulation resolves all halos with atomic cooling at the relevant redshifts and simultaneously performs radiative transfer and dynamical evolution of structure formation our major conclusions include 1 for significant hii bubbles the number distribution is peaked at a volume of sim 06 rm mpc3h3 at all redshifts but at zle 10 one large connected network of bubbles dominates the entire hii volume 2 hii bubbles are highly nonspherical 3 the hii regions are highly biased with respect to the underlying matter distribution with the bias decreasing with time 4 the nongaussianity of the hii region is small when the universe becomes 50 ionized the nongaussianity reaches its maximal near the end of the reionization epoch zsim 6 but at all redshifts of interest there is a significant nongaussianity in the hii field 5 population iii galaxies may play a significant role in the reionization process small bubbles are initially largely produced by pop iii stars at zge 10 even the largest hii bubbles have a balanced ionizing photon contribution from pop ii and pop iii stars while at zle 8 pop ii stars start to dominate the overall ionizing photon production for large bubbles although pop iii stars continue to make a nonnegligible contribution 6 the relationship between halo number density and bubble size is complicated but a strong correlation is found between halo number density and bubble size for large bubbles | [['we', 'present', 'general', 'properties', 'of', 'ionized', 'hydrogen', 'hii', 'bubbles', 'and', 'their', 'growth', 'based', 'on', 'a', 'stateoftheart', 'largescale', '100', 'mpch', 'cosmological', 'radiative', 'transfer', 'simulation', 'the', 'simulation', 'resolves', 'all', 'halos', 'with', 'atomic', 'cooling', 'at', 'the', 'relevant', 'redshifts', 'and', 'simultaneously', 'performs', 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708.2426 | Emergent Gravity from Noncommutative Gauge Theory | We show that the matrix-model action for noncommutative U(n) gauge theory
actually describes SU(n) gauge theory coupled to gravity. This is elaborated in
the 4-dimensional case. The SU(n) gauge fields as well as additional scalar
fields couple to an effective metric G_{ab}, which is determined by a dynamical
Poisson structure. The emergent gravity is intimately related to
noncommutativity, encoding those degrees of freedom which are usually
interpreted as U(1) gauge fields. This leads to a class of metrics which
contains the physical degrees of freedom of gravitational waves, and allows to
recover e.g. the Newtonian limit with arbitrary mass distribution. It also
suggests a consistent picture of UV/IR mixing in terms of an induced gravity
action. This should provide a suitable framework for quantizing gravity.
| hep-th gr-qc | we show that the matrixmodel action for noncommutative un gauge theory actually describes sun gauge theory coupled to gravity this is elaborated in the 4dimensional case the sun gauge fields as well as additional scalar fields couple to an effective metric g_ab which is determined by a dynamical poisson structure the emergent gravity is intimately related to noncommutativity encoding those degrees of freedom which are usually interpreted as u1 gauge fields this leads to a class of metrics which contains the physical degrees of freedom of gravitational waves and allows to recover eg the newtonian limit with arbitrary mass distribution it also suggests a consistent picture of uvir mixing in terms of an induced gravity action this should provide a suitable framework for quantizing gravity | [['we', 'show', 'that', 'the', 'matrixmodel', 'action', 'for', 'noncommutative', 'un', 'gauge', 'theory', 'actually', 'describes', 'sun', 'gauge', 'theory', 'coupled', 'to', 'gravity', 'this', 'is', 'elaborated', 'in', 'the', '4dimensional', 'case', 'the', 'sun', 'gauge', 'fields', 'as', 'well', 'as', 'additional', 'scalar', 'fields', 'couple', 'to', 'an', 'effective', 'metric', 'g_ab', 'which', 'is', 'determined', 'by', 'a', 'dynamical', 'poisson', 'structure', 'the', 'emergent', 'gravity', 'is', 'intimately', 'related', 'to', 'noncommutativity', 'encoding', 'those', 'degrees', 'of', 'freedom', 'which', 'are', 'usually', 'interpreted', 'as', 'u1', 'gauge', 'fields', 'this', 'leads', 'to', 'a', 'class', 'of', 'metrics', 'which', 'contains', 'the', 'physical', 'degrees', 'of', 'freedom', 'of', 'gravitational', 'waves', 'and', 'allows', 'to', 'recover', 'eg', 'the', 'newtonian', 'limit', 'with', 'arbitrary', 'mass', 'distribution', 'it', 'also', 'suggests', 'a', 'consistent', 'picture', 'of', 'uvir', 'mixing', 'in', 'terms', 'of', 'an', 'induced', 'gravity', 'action', 'this', 'should', 'provide', 'a', 'suitable', 'framework', 'for', 'quantizing', 'gravity']] | [-0.1819588292464614, 0.21684460535994732, -0.1027527595825959, 0.10795832031965255, -0.12144372110068798, -0.1153998054759577, -0.057577670325525104, 0.282985283754766, -0.21749090656638145, -0.3155904296040535, 0.03634811420738697, -0.2078847457190277, -0.20032225614413618, 0.10702835538983345, -0.09851611302420497, -0.025433567183325068, -0.03986067142058164, 0.10059410238941201, -0.07758580025844276, -0.23140692535601556, 0.33163275207206605, 0.06855528429150581, 0.22947203457728027, 0.007608273095451296, 0.14572938699647783, 0.014954608876258135, -0.01438157694414258, 0.04032816171646118, -0.08525534200883703, 0.09234613605588675, 0.20214110369235277, 0.06978264763951302, 0.14909467557258904, -0.3735405234396458, -0.2970864690206945, 0.0419774551987648, 0.13769274885801133, 0.14676048464048655, -0.014262807473540307, -0.31216150082461536, 0.015318108387291432, -0.17302373558282852, -0.18276335924863815, -0.0916086303256452, -0.01530653702095151, -0.09667076963186264, -0.29179997662315144, 0.07111035835789517, 0.02678647520649247, 0.04435789438709617, -0.045780896611977366, -0.055790916837751864, -0.053329746725037694, 0.06962644932791591, 0.13412673522718252, 0.113190306709148, 0.13589651489257812, -0.16957518843305297, -0.10427275695558637, 0.4552268539965153, -0.11134387372760102, -0.2736172722100746, 0.1912579688578844, -0.12379619504744187, -0.14836098970100284, 0.08547353609651327, 0.1261382159292698, 0.14647884977050127, -0.16132353466795757, 0.17271352716675029, -0.03385540436953306, 0.12750896234810352, 0.07887175824865698, 0.1016078213378787, 0.2852661978304386, 0.07184233631566167, 0.06027310778107494, 0.11375798043236136, 0.016818445082753895, -0.15420023569464683, -0.3796201082319021, -0.15095833682641388, -0.11949136306717992, 0.1289951211847365, -0.13212339731666725, -0.1729170362316072, 0.3599013245999813, 0.15349207801930606, 0.1341220059103871, 0.031084819871000945, 0.1997719358280301, 0.10854456156119704, 0.1033897572606802, 0.04109342934191227, 0.26583220352977516, 0.22478100735880435, 0.030038582637906073, -0.22086542964354158, -0.09852732291072606, 0.12018548276275397] |
708.2427 | Non-universal gaugino masses: a signal-based analysis for the Large
Hadron Collider | We discuss the signals at the Large Hadron Collider (LHC) for scenarios with
non-universal gaugino masses in supersymmetric (SUSY) theories. We perform a
multichannel analysis, and consider the ratios of event rates in different
channels such as $jets + {E}_T/ $, $same$ - and $opposite$-$sign dileptons$
$+jets+ {E}_T/ $, as well as $single-lepton$ and $trilepton$ final states
together with $jets + {E}_T/ $ . Low-energy SUSY spectra corresponding to
high-scale gaugino non-universality arising from different breaking schemes of
SU(5) as well as SO(10) Grand Unified (GUT) SUSY models are considered, with
both degenerate low-energy sfermion masses and those arising from a
supergravity scenario. We present the numerical predictions over a wide range
of the parameter space using the event generator {\tt Pythia}, specifying the
event selection criteria and pointing out regions where signals are likely to
be beset with backgrounds. Certain broad features emerge from the study, which
may be useful in identifying the signatures of different GUT breaking schemes
and distinguishing them from a situation with a universal gaugino mass at high
scale. The absolute values of the predicted event rates for different scenarios
are presented together with the various event ratios, so that these can also be
used whenever necessary.
| hep-ph | we discuss the signals at the large hadron collider lhc for scenarios with nonuniversal gaugino masses in supersymmetric susy theories we perform a multichannel analysis and consider the ratios of event rates in different channels such as jets e_t same and oppositesign dileptons jets e_t as well as singlelepton and trilepton final states together with jets e_t lowenergy susy spectra corresponding to highscale gaugino nonuniversality arising from different breaking schemes of su5 as well as so10 grand unified gut susy models are considered with both degenerate lowenergy sfermion masses and those arising from a supergravity scenario we present the numerical predictions over a wide range of the parameter space using the event generator tt pythia specifying the event selection criteria and pointing out regions where signals are likely to be beset with backgrounds certain broad features emerge from the study which may be useful in identifying the signatures of different gut breaking schemes and distinguishing them from a situation with a universal gaugino mass at high scale the absolute values of the predicted event rates for different scenarios are presented together with the various event ratios so that these can also be used whenever necessary | [['we', 'discuss', 'the', 'signals', 'at', 'the', 'large', 'hadron', 'collider', 'lhc', 'for', 'scenarios', 'with', 'nonuniversal', 'gaugino', 'masses', 'in', 'supersymmetric', 'susy', 'theories', 'we', 'perform', 'a', 'multichannel', 'analysis', 'and', 'consider', 'the', 'ratios', 'of', 'event', 'rates', 'in', 'different', 'channels', 'such', 'as', 'jets', 'e_t', 'same', 'and', 'oppositesign', 'dileptons', 'jets', 'e_t', 'as', 'well', 'as', 'singlelepton', 'and', 'trilepton', 'final', 'states', 'together', 'with', 'jets', 'e_t', 'lowenergy', 'susy', 'spectra', 'corresponding', 'to', 'highscale', 'gaugino', 'nonuniversality', 'arising', 'from', 'different', 'breaking', 'schemes', 'of', 'su5', 'as', 'well', 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708.2428 | A macroscopic test of the Aharonov-Bohm effect | The Aharonov-Bohm (AB) effect is a purely quantum mechanical effect. The
original (classified as Type-I) AB-phase shift exists in experimental
conditions where the electromagnetic fields and forces are zero. It is the
absence of forces that makes the AB-effect entirely quantum mechanical.
Although the AB-phase shift has been demonstrated unambiguously, the absence of
forces in Type-I AB-effects has never been shown. Here, we report the
observation of the absence of time delays associated with forces of the
magnitude needed to explain the AB-phase shift for a macroscopic system.
| quant-ph | the aharonovbohm ab effect is a purely quantum mechanical effect the original classified as typei abphase shift exists in experimental conditions where the electromagnetic fields and forces are zero it is the absence of forces that makes the abeffect entirely quantum mechanical although the abphase shift has been demonstrated unambiguously the absence of forces in typei abeffects has never been shown here we report the observation of the absence of time delays associated with forces of the magnitude needed to explain the abphase shift for a macroscopic system | [['the', 'aharonovbohm', 'ab', 'effect', 'is', 'a', 'purely', 'quantum', 'mechanical', 'effect', 'the', 'original', 'classified', 'as', 'typei', 'abphase', 'shift', 'exists', 'in', 'experimental', 'conditions', 'where', 'the', 'electromagnetic', 'fields', 'and', 'forces', 'are', 'zero', 'it', 'is', 'the', 'absence', 'of', 'forces', 'that', 'makes', 'the', 'abeffect', 'entirely', 'quantum', 'mechanical', 'although', 'the', 'abphase', 'shift', 'has', 'been', 'demonstrated', 'unambiguously', 'the', 'absence', 'of', 'forces', 'in', 'typei', 'abeffects', 'has', 'never', 'been', 'shown', 'here', 'we', 'report', 'the', 'observation', 'of', 'the', 'absence', 'of', 'time', 'delays', 'associated', 'with', 'forces', 'of', 'the', 'magnitude', 'needed', 'to', 'explain', 'the', 'abphase', 'shift', 'for', 'a', 'macroscopic', 'system']] | [-0.20289526196862678, 0.18786362081029734, -0.10666117231296592, 0.03119360612364226, -0.08116054144243948, -0.10295109413997379, 0.0353063166758782, 0.3705082998805961, -0.24970460156801827, -0.2936955064015333, 0.05704690127492731, -0.2544584856043721, -0.16018830638292225, 0.17789717165883198, -0.027654124851620127, 0.03762419993967511, 0.014206877054083486, 0.07624423620561788, -0.03963140878274084, -0.17830966040492058, 0.2905090117683569, 0.04428875220663369, 0.2840644078015155, 0.061646283236007356, 0.08775196134567607, -0.040151491828890905, 0.023789036899891702, 0.04960039024089658, -0.07674775412077758, 0.0004347328334873499, 0.16515313356919864, -0.013900377623855981, 0.25824457814180574, -0.44882364965282207, -0.23523153892046836, 0.15065795486403066, 0.09663633159145193, 0.1571155831293571, -0.0636825809081973, -0.28732319116635724, 0.05362251566636354, -0.13901607241741445, -0.12846632218421544, -0.05783269720065386, 0.08648342233649346, -0.015664427470805688, -0.21586958806268697, 0.10455113288210055, 0.07738363354732174, 0.07086299113972588, -0.09560371733942004, -0.06833001377662037, 0.0028271686155782187, 0.13414513990066426, 0.05199664382827143, -0.005586016408795881, 0.14406630140729249, -0.10899233833215265, -0.16249295436982933, 0.43285608207157183, -0.02999057815421026, -0.1483481544486875, 0.17970548481355572, -0.13763228578622952, -0.06141983109612971, 0.13683343994929348, 0.06262620536307263, 0.05014482338447124, -0.15256001724628732, 0.09423116309132405, 0.007526129538323297, 0.16133973481090264, 0.04145688871679784, 0.0685941040526729, 0.21234979491334321, 0.13249470792686416, 0.01934562743706412, 0.14223415398940464, -0.10920036706578008, -0.09301662191661984, -0.30914229061454535, -0.13004617706322935, -0.1934882507789447, 0.07994731146907218, 0.028418291107342623, -0.16814912931532003, 0.3480731596693743, 0.14898338631542704, 0.15445842215964614, -0.03771193789014982, 0.2897500651983306, 0.14919318017132885, 0.12283369326127455, -0.01218604915883652, 0.40120611270499784, 0.14452533084942504, 0.07674117072341222, -0.311107907373848, 0.09995044333058907, 0.001831552029998843] |
708.2429 | Dynamics of trion formation in GaAs quantum wells | We propose a double channel mechanism for the formation of charged excitons
(trions); they are formed through bi- and tri-molecular processes. This
directly implies that both negatively and positively charged excitons coexist
in a quantum well, even in the absence of excess carriers. The model is applied
to a time-resolved photoluminescence experiment performed on a very high
quality InGaAs quantum well sample, in which the photoluminescence
contributions at the energy of the trion, exciton and at the band edge can be
clearly separated and traced over a broad range of times and densities. The
unresolved discrepancy between the theoretical and experimental radiative decay
time of the exciton in a doped semiconductor is explained.
| cond-mat.mtrl-sci | we propose a double channel mechanism for the formation of charged excitons trions they are formed through bi and trimolecular processes this directly implies that both negatively and positively charged excitons coexist in a quantum well even in the absence of excess carriers the model is applied to a timeresolved photoluminescence experiment performed on a very high quality ingaas quantum well sample in which the photoluminescence contributions at the energy of the trion exciton and at the band edge can be clearly separated and traced over a broad range of times and densities the unresolved discrepancy between the theoretical and experimental radiative decay time of the exciton in a doped semiconductor is explained | [['we', 'propose', 'a', 'double', 'channel', 'mechanism', 'for', 'the', 'formation', 'of', 'charged', 'excitons', 'trions', 'they', 'are', 'formed', 'through', 'bi', 'and', 'trimolecular', 'processes', 'this', 'directly', 'implies', 'that', 'both', 'negatively', 'and', 'positively', 'charged', 'excitons', 'coexist', 'in', 'a', 'quantum', 'well', 'even', 'in', 'the', 'absence', 'of', 'excess', 'carriers', 'the', 'model', 'is', 'applied', 'to', 'a', 'timeresolved', 'photoluminescence', 'experiment', 'performed', 'on', 'a', 'very', 'high', 'quality', 'ingaas', 'quantum', 'well', 'sample', 'in', 'which', 'the', 'photoluminescence', 'contributions', 'at', 'the', 'energy', 'of', 'the', 'trion', 'exciton', 'and', 'at', 'the', 'band', 'edge', 'can', 'be', 'clearly', 'separated', 'and', 'traced', 'over', 'a', 'broad', 'range', 'of', 'times', 'and', 'densities', 'the', 'unresolved', 'discrepancy', 'between', 'the', 'theoretical', 'and', 'experimental', 'radiative', 'decay', 'time', 'of', 'the', 'exciton', 'in', 'a', 'doped', 'semiconductor', 'is', 'explained']] | [-0.0816336644945287, 0.1987111706397933, -0.03749684693984094, 0.0997374045046508, 0.07411934307207708, -0.16298992353268957, 0.08617441709342916, 0.44705630004801583, -0.24734344778467068, -0.3151914067566395, -0.006628738714184249, -0.3153372730449897, -0.040101512747330474, 0.17397543730881823, 0.037228048294865056, -0.0028742844716901274, 0.031262626636575544, -0.07684020920598929, -0.009376226414398876, -0.177697499962606, 0.2715508051080613, 0.06565011404166245, 0.2853510995782846, 0.1669383607495708, 0.04855160973554032, -0.014834777701365869, 0.05041839451059303, 0.013420676079010013, -0.10221535956263758, 0.09990954828918376, 0.2707724604360034, -0.033950400493412684, 0.21078839863493906, -0.4119782288827541, -0.20065888570234244, 0.06297952342218002, 0.1929304631163193, 0.13515015215040144, -0.12309527580226581, -0.29885064274797923, 0.06415672440378539, -0.1145115013324977, -0.03776637749515672, -0.0028264577525247514, -0.029549532289723908, -0.017826298157997692, -0.2491744660867164, 0.1454298303182344, 0.02366882285610072, -0.004637581560002491, -0.10420954663026254, -0.074561311611473, -0.053330981720700464, 0.08629321872742962, 0.027194433768312817, 0.010336411018666308, 0.2116375497451662, -0.1297056243808495, -0.1652537714607552, 0.3592705332181639, -0.11970729586890841, -0.09579397736125486, 0.1918352386194067, -0.2209950437917646, -0.029837054567230223, 0.1907791362135811, 0.13238059140873693, 0.17267921807237208, -0.10570700935784015, 0.06016596163668365, -0.019092849505224586, 0.19578893473000983, 0.0356750347222968, 0.14634308692446985, 0.2821874402471678, 0.17152191439758888, 0.002879212635148943, 0.11002118407596166, -0.12173343832868325, -0.0867509650894795, -0.24118302051241683, -0.1986217987064305, -0.19901784641289078, 0.11829856502930675, -0.0144313739242333, -0.1444094780919068, 0.4367400395881747, 0.049277695369766616, 0.242894431328879, -0.014907907232007555, 0.2429582810243674, 0.12353549832560584, 0.06961092166808656, 0.014345312548751852, 0.27268430357386847, 0.16147121915643195, 0.12157427959980657, -0.28605079806648787, 0.05449994391786445, -0.06185357830079223] |
708.243 | Schwinger Mechanism for Gluon Pair Production in the Presence of
Arbitrary Time Dependent Chromo-Electric Field | We study Schwinger mechanism for gluon pair production in the presence of
arbitrary time-dependent chromo-electric background field $E^a(t)$ with
arbitrary color index $a$=1,2,...8 in SU(3) by directly evaluating the path
integral. We obtain an exact expression for the probability of non-perturbative
gluon pair production per unit time per unit volume and per unit transverse
momentum $\frac{dW}{d^4x d^2p_T}$ from arbitrary $E^a(t)$. We show that the
tadpole (or single gluon) effective action does not contribute to the
non-perturbative gluon pair production rate $\frac{dW}{d^4x d^2p_T}$. We find
that the exact result for non-perturbative gluon pair production is independent
of all the time derivatives $\frac{d^nE^a(t)}{dt^n}$ where $n=1,2,....\infty$
and has the same functional dependence on two casimir invariants
$[E^a(t)E^a(t)]$ and $[d_{abc}E^a(t)E^b(t)E^c(t)]^2$ as the constant
chromo-electric field $E^a$ result with the replacement: $E^a \to E^a(t)$. This
result may be relevant to study the production of a non-perturbative
quark-gluon plasma at RHIC and LHC.
| hep-ph | we study schwinger mechanism for gluon pair production in the presence of arbitrary timedependent chromoelectric background field eat with arbitrary color index a128 in su3 by directly evaluating the path integral we obtain an exact expression for the probability of nonperturbative gluon pair production per unit time per unit volume and per unit transverse momentum fracdwd4x d2p_t from arbitrary eat we show that the tadpole or single gluon effective action does not contribute to the nonperturbative gluon pair production rate fracdwd4x d2p_t we find that the exact result for nonperturbative gluon pair production is independent of all the time derivatives fracdneatdtn where n12infty and has the same functional dependence on two casimir invariants eateat and d_abceatebtect2 as the constant chromoelectric field ea result with the replacement ea to eat this result may be relevant to study the production of a nonperturbative quarkgluon plasma at rhic and lhc | [['we', 'study', 'schwinger', 'mechanism', 'for', 'gluon', 'pair', 'production', 'in', 'the', 'presence', 'of', 'arbitrary', 'timedependent', 'chromoelectric', 'background', 'field', 'eat', 'with', 'arbitrary', 'color', 'index', 'a128', 'in', 'su3', 'by', 'directly', 'evaluating', 'the', 'path', 'integral', 'we', 'obtain', 'an', 'exact', 'expression', 'for', 'the', 'probability', 'of', 'nonperturbative', 'gluon', 'pair', 'production', 'per', 'unit', 'time', 'per', 'unit', 'volume', 'and', 'per', 'unit', 'transverse', 'momentum', 'fracdwd4x', 'd2p_t', 'from', 'arbitrary', 'eat', 'we', 'show', 'that', 'the', 'tadpole', 'or', 'single', 'gluon', 'effective', 'action', 'does', 'not', 'contribute', 'to', 'the', 'nonperturbative', 'gluon', 'pair', 'production', 'rate', 'fracdwd4x', 'd2p_t', 'we', 'find', 'that', 'the', 'exact', 'result', 'for', 'nonperturbative', 'gluon', 'pair', 'production', 'is', 'independent', 'of', 'all', 'the', 'time', 'derivatives', 'fracdneatdtn', 'where', 'n12infty', 'and', 'has', 'the', 'same', 'functional', 'dependence', 'on', 'two', 'casimir', 'invariants', 'eateat', 'and', 'd_abceatebtect2', 'as', 'the', 'constant', 'chromoelectric', 'field', 'ea', 'result', 'with', 'the', 'replacement', 'ea', 'to', 'eat', 'this', 'result', 'may', 'be', 'relevant', 'to', 'study', 'the', 'production', 'of', 'a', 'nonperturbative', 'quarkgluon', 'plasma', 'at', 'rhic', 'and', 'lhc']] | [-0.10313964470979764, 0.2347749735961757, -0.0969643799701987, 0.11226503879649283, -0.05063264906446604, -0.0852553366830827, 0.016186867150471365, 0.3725730186368493, -0.1951947175904358, -0.24557613844735374, -0.02019861042868051, -0.2830534298642934, -0.024236783504204676, 0.11877497504532283, 0.029111861959836786, 0.014029141652846723, 0.053679877369523905, 0.10163188098909721, 0.0015725016807710162, -0.2853875221389768, 0.3271318091759659, 0.021379899612138813, 0.25273048810044424, 0.20660516973618392, 0.11221821053395811, 0.11332678404241371, -0.049972840845702124, -0.026111956392649373, -0.10737312147511076, 0.06269832319921727, 0.1761396966988502, 0.05624871953634885, 0.17626185047862342, -0.3921925825160667, -0.14143367474161678, 0.11366831538059728, 0.1410026491599546, 0.12359647695377148, -0.046346326145048675, -0.19148476025183425, 0.09622150712408688, -0.22847491684001234, -0.13892572518461552, -0.060632403596579065, 0.02916167152663626, -0.023748778877947345, -0.34738048970391106, 0.09464638810098111, -0.051886587065356454, -0.0038941699053368552, -0.049967944352044186, -0.11630162871744243, -0.08623228682097879, 0.10269370749291273, 0.101334928700754, 0.1694094744450647, 0.18826417613560134, -0.20563256103552127, -0.15748612220874794, 0.3311247610413342, -0.08985981763936847, -0.20650300518241074, 0.1363939946557549, -0.21095103863961726, -0.13279463744742406, 0.1310338222224051, 0.17839846189850742, 0.13400625650563258, -0.19826288984438553, 0.10039727563849188, -0.009865290816980515, 0.13697185521952057, 0.10903127801691671, 0.07574281051064835, 0.21788113665912115, 0.0934165802821115, 0.004919631433465498, 0.1462805145365695, -0.03763299582948198, -0.10876335493764645, -0.4209039251943179, -0.155838695904173, -0.13394710275247398, 0.10488821057070519, -0.11916642773707176, -0.16939166886899487, 0.35448947042333995, 0.10262528750057191, 0.2021301602090461, 0.02794429576091415, 0.30561157605416484, 0.1767420142029727, 0.0787189194728225, 0.07626736249855097, 0.1985570578199389, 0.11767345224172145, 0.10773588927033886, -0.2803462882301763, -0.008598261546316764, 0.16277487577347877] |
708.2431 | The Topology of Cosmological Reionization | Using the largest cosmological reionization simulation to-date (~24 billion
particles), we use the genus curve to quantify the topology of neutral hydrogen
distribution on scales > 1 Mpc as it evolves during cosmological reionization.
We find that the reionization process proceeds primarily in an inside-out
fashion, where higher density regions become ionized earlier than lower density
regions. There are four distinct topological phases: (1) Pre-reionization at z
~ 15, when the genus curve is consistent with a Gaussian density distribution.
(2) Pre-overlap at 10 < z < 15, during which the number of HII bubbles
increases gradually with time, until percolation of HII bubbles starts to take
effect, characterized by a very flat genus curve at high volume fractions. (3)
Overlap at 8 < z < 10, when large HII bubbles rapidly merge, manifested by a
precipitous drop in the amplitude of the genus curve. (4) Post-overlap at 6 < z
< 8, when HII bubbles have mostly overlapped and the genus curve is consistent
with a diminishing number of isolated neutral islands. After the end of
reionization (z < 6), the genus of neutral hydrogen is consistent with Gaussian
random phase, in agreement with observations.
| astro-ph | using the largest cosmological reionization simulation todate 24 billion particles we use the genus curve to quantify the topology of neutral hydrogen distribution on scales 1 mpc as it evolves during cosmological reionization we find that the reionization process proceeds primarily in an insideout fashion where higher density regions become ionized earlier than lower density regions there are four distinct topological phases 1 prereionization at z 15 when the genus curve is consistent with a gaussian density distribution 2 preoverlap at 10 z 15 during which the number of hii bubbles increases gradually with time until percolation of hii bubbles starts to take effect characterized by a very flat genus curve at high volume fractions 3 overlap at 8 z 10 when large hii bubbles rapidly merge manifested by a precipitous drop in the amplitude of the genus curve 4 postoverlap at 6 z 8 when hii bubbles have mostly overlapped and the genus curve is consistent with a diminishing number of isolated neutral islands after the end of reionization z 6 the genus of neutral hydrogen is consistent with gaussian random phase in agreement with observations | [['using', 'the', 'largest', 'cosmological', 'reionization', 'simulation', 'todate', '24', 'billion', 'particles', 'we', 'use', 'the', 'genus', 'curve', 'to', 'quantify', 'the', 'topology', 'of', 'neutral', 'hydrogen', 'distribution', 'on', 'scales', '1', 'mpc', 'as', 'it', 'evolves', 'during', 'cosmological', 'reionization', 'we', 'find', 'that', 'the', 'reionization', 'process', 'proceeds', 'primarily', 'in', 'an', 'insideout', 'fashion', 'where', 'higher', 'density', 'regions', 'become', 'ionized', 'earlier', 'than', 'lower', 'density', 'regions', 'there', 'are', 'four', 'distinct', 'topological', 'phases', '1', 'prereionization', 'at', 'z', '15', 'when', 'the', 'genus', 'curve', 'is', 'consistent', 'with', 'a', 'gaussian', 'density', 'distribution', '2', 'preoverlap', 'at', '10', 'z', '15', 'during', 'which', 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708.2432 | A structure from motion inequality | We state an elementary inequality for the structure from motion problem for m
cameras and n points. This structure from motion inequality relates space
dimension, camera parameter dimension, the number of cameras and number points
and global symmetry properties and provides a rigorous criterion for which
reconstruction is not possible with probability 1. Mathematically the
inequality is based on Frobenius theorem which is a geometric incarnation of
the fundamental theorem of linear algebra. The paper also provides a general
mathematical formalism for the structure from motion problem. It includes the
situation the points can move while the camera takes the pictures.
| cs.CV cs.AI | we state an elementary inequality for the structure from motion problem for m cameras and n points this structure from motion inequality relates space dimension camera parameter dimension the number of cameras and number points and global symmetry properties and provides a rigorous criterion for which reconstruction is not possible with probability 1 mathematically the inequality is based on frobenius theorem which is a geometric incarnation of the fundamental theorem of linear algebra the paper also provides a general mathematical formalism for the structure from motion problem it includes the situation the points can move while the camera takes the pictures | [['we', 'state', 'an', 'elementary', 'inequality', 'for', 'the', 'structure', 'from', 'motion', 'problem', 'for', 'm', 'cameras', 'and', 'n', 'points', 'this', 'structure', 'from', 'motion', 'inequality', 'relates', 'space', 'dimension', 'camera', 'parameter', 'dimension', 'the', 'number', 'of', 'cameras', 'and', 'number', 'points', 'and', 'global', 'symmetry', 'properties', 'and', 'provides', 'a', 'rigorous', 'criterion', 'for', 'which', 'reconstruction', 'is', 'not', 'possible', 'with', 'probability', '1', 'mathematically', 'the', 'inequality', 'is', 'based', 'on', 'frobenius', 'theorem', 'which', 'is', 'a', 'geometric', 'incarnation', 'of', 'the', 'fundamental', 'theorem', 'of', 'linear', 'algebra', 'the', 'paper', 'also', 'provides', 'a', 'general', 'mathematical', 'formalism', 'for', 'the', 'structure', 'from', 'motion', 'problem', 'it', 'includes', 'the', 'situation', 'the', 'points', 'can', 'move', 'while', 'the', 'camera', 'takes', 'the', 'pictures']] | [-0.1245769710731831, 0.05852420353875288, -0.15283095869835062, 0.041789173768685746, -0.12011763743023471, -0.15031923544085998, 0.03015258281819043, 0.29307742672280807, -0.3061059494456737, -0.3199756306384017, 0.08399109242225786, -0.2581440056950813, -0.1633661222110484, 0.20449342443792168, -0.13057220490225177, 0.04504824748797582, 0.04999870533990388, 0.08129846900793733, -0.047532397097018134, -0.208918380894523, 0.3266890637950031, -0.013689079349583919, 0.2789474607694267, 0.018074126841528065, 0.15906181357941293, 0.08258588402762566, 0.02269546925505199, 0.02912269599504059, -0.13518663605048073, 0.13400870088331107, 0.21181131349323262, 0.1521949677285508, 0.22457998966346357, -0.3880106340724938, -0.15595722177277993, 0.09704522449652304, 0.1088242764483289, 0.0984448099204588, -0.014555377518011276, -0.2981171297822332, 0.03849538162553517, -0.098129556661859, -0.17506279730892713, -0.05308627122367668, 0.04022257574511194, -0.05834358462217808, -0.2862998124777966, 0.07881153264920929, 0.0819234661504368, 0.08346336744356864, -0.08931609431493769, -0.0661023877512682, 0.0021806505997434703, 0.12302138894049469, 0.013492171751740988, 0.032596879730941636, 0.08202531043149641, -0.12209450237517532, -0.0910249269558209, 0.39362503605719545, 0.04637390057934393, -0.2516579906280973, 0.13836325859272908, -0.11899571255365811, -0.13062964626219087, 0.11741516883438914, 0.13185398841258322, 0.1341651473171308, -0.11534899304618616, 0.16974562867129644, -0.09366794406334952, 0.15366474057704504, 0.05292147787121853, 0.05092293631036462, 0.15951677276245732, 0.1505623011397991, 0.15304311576050403, 0.1205601752078677, -0.10679150012490053, -0.10622518981800018, -0.35394492998055305, -0.18473791856164404, -0.19535799750523403, 0.08246397831270329, -0.11965138230433614, -0.13134621081892217, 0.37900734862017604, 0.12011111053260098, 0.18267869691152383, 0.07404637034742696, 0.3060673558623484, 0.11166307485044592, 0.040620036515416486, 0.05821429180110445, 0.18338512543054059, 0.15054077864394033, 0.07824338393258208, -0.11372813259454279, 0.02083906226579358, 0.19009746048636367] |
708.2433 | Relativistic hydrodynamics for heavy-ion collisions | Relativistic hydrodynamics is essential to our current understanding of
nucleus-nucleus collisions at ultrarelativistic energies (current experiments
at the Relativistic Heavy Ion Collider, forthcoming experiments at the CERN
Large Hadron Collider). This is an introduction to relativistic hydrodynamics
for graduate students. It includes a detailed derivation of the equations, and
a description of the hydrodynamical evolution of a heavy-ion collisions. Some
knowledge of thermodynamics and special relativity is assumed.
| nucl-th | relativistic hydrodynamics is essential to our current understanding of nucleusnucleus collisions at ultrarelativistic energies current experiments at the relativistic heavy ion collider forthcoming experiments at the cern large hadron collider this is an introduction to relativistic hydrodynamics for graduate students it includes a detailed derivation of the equations and a description of the hydrodynamical evolution of a heavyion collisions some knowledge of thermodynamics and special relativity is assumed | [['relativistic', 'hydrodynamics', 'is', 'essential', 'to', 'our', 'current', 'understanding', 'of', 'nucleusnucleus', 'collisions', 'at', 'ultrarelativistic', 'energies', 'current', 'experiments', 'at', 'the', 'relativistic', 'heavy', 'ion', 'collider', 'forthcoming', 'experiments', 'at', 'the', 'cern', 'large', 'hadron', 'collider', 'this', 'is', 'an', 'introduction', 'to', 'relativistic', 'hydrodynamics', 'for', 'graduate', 'students', 'it', 'includes', 'a', 'detailed', 'derivation', 'of', 'the', 'equations', 'and', 'a', 'description', 'of', 'the', 'hydrodynamical', 'evolution', 'of', 'a', 'heavyion', 'collisions', 'some', 'knowledge', 'of', 'thermodynamics', 'and', 'special', 'relativity', 'is', 'assumed']] | [-0.06770222892245169, 0.1876278092405461, -0.196724623297889, 0.136756678663112, -0.060376255416913945, -0.12301266982959692, -0.1587780587570331, 0.25186196374296044, -0.19088177563732162, -0.28867663979968605, -0.05275470360784846, -0.3547331665553536, 0.10056677377125357, 0.1717663729987715, 0.07946677296422422, 0.07649762492955607, 0.19250007406534517, -0.005574688068864977, -0.06839494575979188, -0.21589367250528405, 0.2837669702643967, 0.28458057605551884, 0.20137888430069914, 0.15883003056788927, 0.1087358757675461, 0.017402546521385804, -0.03556357774719158, 0.004720206618966425, -0.12157414272865828, 0.05564932756019784, 0.35405521461849704, 0.06503644756808438, 0.26773983884863006, -0.46114956316373806, -0.18256355730494866, 0.01829577537308283, 0.065549904398401, 0.23979038619162404, -0.127935943481348, -0.2386509900474373, 0.03882154640193809, -0.26237570650546865, -0.19709670557366574, -0.031279700472677016, 0.013614301063010798, -0.0016039528623771142, -0.27361311486182627, 0.03805161648950375, 0.020178654299610677, 0.12135782029808444, -0.009352062786467072, -0.13872972330564687, 0.00012434331138673073, -0.04610170359613702, 0.04129251024192747, 0.0473568158922717, 0.1830968947478515, -0.21248408237143473, -0.12038618808283526, 0.5070018206229981, 0.0292724721982856, -0.11006511260262307, 0.25124398200526177, -0.2581070042985683, -0.17277121186078362, 0.12208448377307779, 0.3026475771878134, 0.13452265804688282, -0.22310652146595256, 0.08194985303527895, -0.03369296632487984, 0.09740079987584656, 0.048796961830435866, 0.0036179690950495355, 0.3003867918844609, 0.2556468679514878, -0.08201116736403063, 0.010304573605133234, -0.03296091415755013, -0.10540160891490385, -0.5232868180336321, -0.09942810958497883, -0.14501336442909257, 0.07337156168411157, -0.008825461290732218, -0.05030626051045735, 0.3574957985376172, 0.15106722022927202, 0.11870251532459139, -0.0350066288442844, 0.3107210574671626, 0.07192270351772416, -0.028995719046660644, 0.09598673925425186, 0.2740142468644669, 0.1802460476756096, 0.26333464419140534, -0.2883890147855067, 0.009439306819866248, 0.12124952994396582] |
708.2434 | Graded infinite order jet manifolds | The relevant material on differential calculus on graded infinite order jet
manifolds and its cohomology is summarized. This mathematics provides the
adequate formulation of Lagrangian theories of even and odd variables on smooth
manifolds in terms of the Grassmann-graded variational bicomplex.
| math-ph math.MP | the relevant material on differential calculus on graded infinite order jet manifolds and its cohomology is summarized this mathematics provides the adequate formulation of lagrangian theories of even and odd variables on smooth manifolds in terms of the grassmanngraded variational bicomplex | [['the', 'relevant', 'material', 'on', 'differential', 'calculus', 'on', 'graded', 'infinite', 'order', 'jet', 'manifolds', 'and', 'its', 'cohomology', 'is', 'summarized', 'this', 'mathematics', 'provides', 'the', 'adequate', 'formulation', 'of', 'lagrangian', 'theories', 'of', 'even', 'and', 'odd', 'variables', 'on', 'smooth', 'manifolds', 'in', 'terms', 'of', 'the', 'grassmanngraded', 'variational', 'bicomplex']] | [-0.18966169900647023, 0.04030860696987408, -0.10277712047554372, 0.15053601158646548, -0.1526789380828055, -0.11363558365577241, -0.06585604652035527, 0.29460488386997363, -0.28188039407860943, -0.2672312043425513, 0.11316889920555873, -0.22319516021667457, -0.1506752912409422, 0.1565623346534444, -0.1761521883990343, 0.031107277562557833, 0.06052607602280814, 0.09625310382646758, -0.08795359404757619, -0.25600629505451494, 0.41264172872846444, -0.04428288833488051, 0.18445158089374805, 0.07040616488311349, 0.20031905982915948, 0.020438819782944713, -0.04888832142076841, 0.012671736159884348, -0.14190332298507777, 0.199350128109317, 0.3196443585542644, 0.010755284257778308, 0.19050001521117804, -0.44733671103490563, -0.13628420992413673, 0.058537781420277386, 0.11172567426068027, 0.0023966535198979263, 0.06318120036285552, -0.2965805825845497, 0.028227736855425487, -0.15331263867456738, -0.16347887521473373, -0.15379571049171073, 0.024698750502089174, 0.005537509821673356, -0.18584960437856796, 0.048782527554643955, 0.10576394110600032, 0.1580049871018429, -0.09471935895555539, -0.13901313071752466, -0.0858300288985824, -0.005538991070352495, 0.020200179089087902, 0.0309229358099401, 0.12326028309308174, -0.10065227139900189, -0.12690504730065785, 0.39303711256602913, -0.028995550683381537, -0.30627867994012264, 0.12112362561861008, -0.13949551658205142, -0.1895517910399088, 0.11293562138225974, 0.12719878858727654, 0.23099316215914925, -0.040305256945785226, 0.21031001496140095, -0.04886604660395079, 0.03985289252567582, 0.0600696254476178, 0.026144348198502528, 0.14009663312718634, 0.1332760907527877, 0.07655601080779623, 0.09659525511286608, 0.03634270611673412, -0.1621588541240227, -0.4283007128255033, -0.22115961037485338, -0.09866707149620463, 0.10720680141253625, -0.17118952214283437, -0.1851651357236977, 0.4095695617994884, 0.0506212412743125, 0.08299018806073724, 0.08097517099685786, 0.2558968983499742, 0.12287389113363333, 0.04106549373487147, 0.003365137502153563, 0.15089115695800723, 0.28995656503773315, 0.10906673653232979, -0.12757025974825387, 0.0036846447129813362, 0.20974325602192703] |
708.2435 | The Two Dimensional Kondo Model with Rashba Spin-Orbit Coupling | We investigate the effect that Rashba spin-orbit coupling has on the low
energy behaviour of a two dimensional magnetic impurity system. It is shown
that the Kondo effect, the screening of the magnetic impurity at temperatures T
< T_K, is robust against such spin-orbit coupling, despite the fact that the
spin of the conduction electrons is no longer a conserved quantity. A proposal
is made for how the spin-orbit coupling may change the value of the Kondo
temperature T_K in such systems and the prospects of measuring this change are
discussed. We conclude that many of the assumptions made in our analysis
invalidate our results as applied to recent experiments in semi-conductor
quantum dots but may apply to measurements made with magnetic atoms placed on
metallic surfaces.
| cond-mat.str-el cond-mat.mes-hall | we investigate the effect that rashba spinorbit coupling has on the low energy behaviour of a two dimensional magnetic impurity system it is shown that the kondo effect the screening of the magnetic impurity at temperatures t t_k is robust against such spinorbit coupling despite the fact that the spin of the conduction electrons is no longer a conserved quantity a proposal is made for how the spinorbit coupling may change the value of the kondo temperature t_k in such systems and the prospects of measuring this change are discussed we conclude that many of the assumptions made in our analysis invalidate our results as applied to recent experiments in semiconductor quantum dots but may apply to measurements made with magnetic atoms placed on metallic surfaces | [['we', 'investigate', 'the', 'effect', 'that', 'rashba', 'spinorbit', 'coupling', 'has', 'on', 'the', 'low', 'energy', 'behaviour', 'of', 'a', 'two', 'dimensional', 'magnetic', 'impurity', 'system', 'it', 'is', 'shown', 'that', 'the', 'kondo', 'effect', 'the', 'screening', 'of', 'the', 'magnetic', 'impurity', 'at', 'temperatures', 't', 't_k', 'is', 'robust', 'against', 'such', 'spinorbit', 'coupling', 'despite', 'the', 'fact', 'that', 'the', 'spin', 'of', 'the', 'conduction', 'electrons', 'is', 'no', 'longer', 'a', 'conserved', 'quantity', 'a', 'proposal', 'is', 'made', 'for', 'how', 'the', 'spinorbit', 'coupling', 'may', 'change', 'the', 'value', 'of', 'the', 'kondo', 'temperature', 't_k', 'in', 'such', 'systems', 'and', 'the', 'prospects', 'of', 'measuring', 'this', 'change', 'are', 'discussed', 'we', 'conclude', 'that', 'many', 'of', 'the', 'assumptions', 'made', 'in', 'our', 'analysis', 'invalidate', 'our', 'results', 'as', 'applied', 'to', 'recent', 'experiments', 'in', 'semiconductor', 'quantum', 'dots', 'but', 'may', 'apply', 'to', 'measurements', 'made', 'with', 'magnetic', 'atoms', 'placed', 'on', 'metallic', 'surfaces']] | [-0.19850580111637506, 0.19439510881738176, -0.04551111204579236, 0.04950460438923319, -0.02442012264555882, -0.16261507132061062, 0.035895271261873106, 0.3885910174151557, -0.2353192414822323, -0.2933256156956925, 0.024296266870344026, -0.31082310734523666, -0.10723714483901858, 0.21825008049222921, 0.01711879394179772, -0.007701088000069989, 0.027323616236182197, 0.005105858764311831, -0.08126098583526319, -0.25505254185566356, 0.3038441096765122, 0.03224666995118328, 0.27887343934973674, 0.1671242720913142, 0.03883181837209988, -0.013733712762283782, 0.11134071969648912, 0.054291418331327834, -0.11260259861811638, 0.03266657265420589, 0.220521610584997, -0.06964510031014917, 0.23857051624901712, -0.4376727239420963, -0.2060547034433555, 0.043444276085152986, 0.10932138141259433, 0.1722757242719776, -0.09231405343956477, -0.26800048363853307, 0.009197969185484071, -0.14439446212435586, -0.11256038333984121, -0.09148972897258188, 0.019938837759019362, -0.04087084684787052, -0.274516283711862, 0.06338516091151784, 0.07671696421808548, 0.06374568327344836, -0.04828360819235621, -0.12576463713129568, -0.04114906472479186, 0.07024357421323657, 0.10969541773259167, 0.03824663327245544, 0.18380175006856758, -0.10098295630629604, -0.1021751151715834, 0.3649222045575106, -0.09957895776633882, -0.1533117680366905, 0.21880633409489833, -0.1811545707233664, -0.10598297080113775, 0.08693519410573775, 0.09421937005032623, 0.08486358430014834, -0.12170261973034709, 0.11711551558521081, -0.03094458658366449, 0.1644499801720182, -0.010975397223355396, 0.08738565734968269, 0.27499427358132034, 0.18732813117463912, 0.05063889378132964, 0.11492766239791222, -0.12183452045012798, -0.069702889574396, -0.24165227491822508, -0.14834735373964547, -0.2698228492009794, 0.09070455392135218, -0.050740474236215326, -0.17502121957797845, 0.37759958186911213, 0.24278520403147144, 0.1832428092417854, -0.04910466967276224, 0.2633135990306203, 0.11979636286259703, 0.08840735662092883, 0.025434387563210394, 0.30258401657365974, 0.16902392639941166, 0.08715980501461124, -0.3362426483589742, 0.07615718327274192, -0.011558739418563033] |
708.2436 | Relativistic hydrodynamics in the presence of puncture black holes | Many of the recent numerical simulations of binary black holes in vacuum
adopt the moving puncture approach. This successful approach avoids the need to
impose numerical excision of the black hole interior and is easy to implement.
Here we wish to explore how well the same approach can be applied to moving
black hole punctures in the presence of relativistic hydrodynamic matter.
First, we evolve single black hole punctures in vacuum to calibrate our BSSN
(Baumgarte-Shapiro-Shibata-Nakamura) implementation and to confirm that the
numerical solution for the exterior spacetime is invariant to any ``junk''
(i.e., constraint-violating) initial data employed in the black hole interior.
Then we focus on relativistic Bondi accretion onto a moving puncture
Schwarzschild black hole as a numerical testbed for our high-resolution
shock-capturing relativistic hydrodynamics scheme. We find that the
hydrodynamical equations can be evolved successfully in the interior without
imposing numerical excision. These results help motivate the adoption of the
moving puncture approach to treat the binary black hole-neutron star problem
using conformal thin-sandwich initial data.
| gr-qc astro-ph | many of the recent numerical simulations of binary black holes in vacuum adopt the moving puncture approach this successful approach avoids the need to impose numerical excision of the black hole interior and is easy to implement here we wish to explore how well the same approach can be applied to moving black hole punctures in the presence of relativistic hydrodynamic matter first we evolve single black hole punctures in vacuum to calibrate our bssn baumgarteshapiroshibatanakamura implementation and to confirm that the numerical solution for the exterior spacetime is invariant to any junk ie constraintviolating initial data employed in the black hole interior then we focus on relativistic bondi accretion onto a moving puncture schwarzschild black hole as a numerical testbed for our highresolution shockcapturing relativistic hydrodynamics scheme we find that the hydrodynamical equations can be evolved successfully in the interior without imposing numerical excision these results help motivate the adoption of the moving puncture approach to treat the binary black holeneutron star problem using conformal thinsandwich initial data | [['many', 'of', 'the', 'recent', 'numerical', 'simulations', 'of', 'binary', 'black', 'holes', 'in', 'vacuum', 'adopt', 'the', 'moving', 'puncture', 'approach', 'this', 'successful', 'approach', 'avoids', 'the', 'need', 'to', 'impose', 'numerical', 'excision', 'of', 'the', 'black', 'hole', 'interior', 'and', 'is', 'easy', 'to', 'implement', 'here', 'we', 'wish', 'to', 'explore', 'how', 'well', 'the', 'same', 'approach', 'can', 'be', 'applied', 'to', 'moving', 'black', 'hole', 'punctures', 'in', 'the', 'presence', 'of', 'relativistic', 'hydrodynamic', 'matter', 'first', 'we', 'evolve', 'single', 'black', 'hole', 'punctures', 'in', 'vacuum', 'to', 'calibrate', 'our', 'bssn', 'baumgarteshapiroshibatanakamura', 'implementation', 'and', 'to', 'confirm', 'that', 'the', 'numerical', 'solution', 'for', 'the', 'exterior', 'spacetime', 'is', 'invariant', 'to', 'any', 'junk', 'ie', 'constraintviolating', 'initial', 'data', 'employed', 'in', 'the', 'black', 'hole', 'interior', 'then', 'we', 'focus', 'on', 'relativistic', 'bondi', 'accretion', 'onto', 'a', 'moving', 'puncture', 'schwarzschild', 'black', 'hole', 'as', 'a', 'numerical', 'testbed', 'for', 'our', 'highresolution', 'shockcapturing', 'relativistic', 'hydrodynamics', 'scheme', 'we', 'find', 'that', 'the', 'hydrodynamical', 'equations', 'can', 'be', 'evolved', 'successfully', 'in', 'the', 'interior', 'without', 'imposing', 'numerical', 'excision', 'these', 'results', 'help', 'motivate', 'the', 'adoption', 'of', 'the', 'moving', 'puncture', 'approach', 'to', 'treat', 'the', 'binary', 'black', 'holeneutron', 'star', 'problem', 'using', 'conformal', 'thinsandwich', 'initial', 'data']] | [-0.10513663791208225, 0.019497009077572302, -0.13442533715909138, 0.10970729801283058, -0.14144823041513077, -0.14935152643751462, -0.006845032215564781, 0.3312574225924248, -0.1847665144913119, -0.3005872327040815, 0.1212791421784077, -0.26912098003760776, -0.06803986235086382, 0.1896321553152782, -0.09763602769627792, 0.10935004625590683, 0.09993813416959178, -0.008491269248047259, -0.14024200076898616, -0.23075088268261645, 0.3986829721379871, 0.09053958710779011, 0.18392516151566565, -0.03997467818102364, 0.09078749723473464, -0.00817174358932665, -0.010555517699944197, 0.03642234091575329, -0.15277239096603432, 0.02219723323539186, 0.23455802090438468, 0.15769240847573832, 0.2244874380705272, -0.488028956367772, -0.2622275974425162, 0.011593046633956524, 0.16601861849118618, 0.20785051736892504, -0.1471385704111494, -0.25936362524406664, 0.12197824023366416, -0.2720233548829365, -0.21255276712572432, -0.06500707221487483, -0.008639858594748395, -0.023033067767271365, -0.23928869454763257, 0.08615823596517538, 0.023720669913513466, -0.10883860052535696, -0.13158274232547665, 0.0008325879820264303, -0.056575209790973004, 0.10789352721333526, 0.09988879900943687, 0.06195931110431897, 0.18294604214117724, -0.05692327363325625, -0.09693817745828064, 0.376332443535394, -0.030268845780747088, -0.2520558839256065, 0.2145669994642958, -0.21585649627773368, -0.11363460874934433, 0.10467333945489803, 0.19614105882707256, 0.2444486199801005, -0.12520587527380495, 0.08441276097678464, -0.008148023992302944, 0.1576504066997048, 0.10780757104911835, -0.04880922701493589, 0.34905836775281723, 0.12065841993812979, -0.03030937098651386, 0.1365959354350481, -0.09826833627341018, -0.10531691056207793, -0.2887955503262712, -0.1248270540040802, -0.16089981380497387, 0.1071211816467477, -0.16148439705486894, -0.16434712355857242, 0.28638778558729294, 0.19389021749697424, 0.12115764004018532, 0.004932623483328777, 0.31177400370633807, 0.05018359601853096, 0.021173668122910976, 0.13605439547757955, 0.28503194710063423, 0.10068971387347614, 0.12257430535402238, -0.29347874337157026, -0.08641061995153662, 0.13429767592343744] |
708.2437 | Fluctuation relations and coarse-graining | We consider the application of fluctuation relations to the dynamics of
coarse-grained systems, as might arise in a hypothetical experiment in which a
system is monitored with a low-resolution measuring apparatus. We analyze a
stochastic, Markovian jump process with a specific structure that lends itself
naturally to coarse-graining. A perturbative analysis yields a reduced
stochastic jump process that approximates the coarse-grained dynamics of the
original system. This leads to a non-trivial fluctuation relation that is
approximately satisfied by the coarse-grained dynamics. We illustrate our
results by computing the large deviations of a particular stochastic jump
process. Our results highlight the possibility that observed deviations from
fluctuation relations might be due to the presence of unobserved degrees of
freedom.
| cond-mat.stat-mech | we consider the application of fluctuation relations to the dynamics of coarsegrained systems as might arise in a hypothetical experiment in which a system is monitored with a lowresolution measuring apparatus we analyze a stochastic markovian jump process with a specific structure that lends itself naturally to coarsegraining a perturbative analysis yields a reduced stochastic jump process that approximates the coarsegrained dynamics of the original system this leads to a nontrivial fluctuation relation that is approximately satisfied by the coarsegrained dynamics we illustrate our results by computing the large deviations of a particular stochastic jump process our results highlight the possibility that observed deviations from fluctuation relations might be due to the presence of unobserved degrees of freedom | [['we', 'consider', 'the', 'application', 'of', 'fluctuation', 'relations', 'to', 'the', 'dynamics', 'of', 'coarsegrained', 'systems', 'as', 'might', 'arise', 'in', 'a', 'hypothetical', 'experiment', 'in', 'which', 'a', 'system', 'is', 'monitored', 'with', 'a', 'lowresolution', 'measuring', 'apparatus', 'we', 'analyze', 'a', 'stochastic', 'markovian', 'jump', 'process', 'with', 'a', 'specific', 'structure', 'that', 'lends', 'itself', 'naturally', 'to', 'coarsegraining', 'a', 'perturbative', 'analysis', 'yields', 'a', 'reduced', 'stochastic', 'jump', 'process', 'that', 'approximates', 'the', 'coarsegrained', 'dynamics', 'of', 'the', 'original', 'system', 'this', 'leads', 'to', 'a', 'nontrivial', 'fluctuation', 'relation', 'that', 'is', 'approximately', 'satisfied', 'by', 'the', 'coarsegrained', 'dynamics', 'we', 'illustrate', 'our', 'results', 'by', 'computing', 'the', 'large', 'deviations', 'of', 'a', 'particular', 'stochastic', 'jump', 'process', 'our', 'results', 'highlight', 'the', 'possibility', 'that', 'observed', 'deviations', 'from', 'fluctuation', 'relations', 'might', 'be', 'due', 'to', 'the', 'presence', 'of', 'unobserved', 'degrees', 'of', 'freedom']] | [-0.14917327649743392, 0.12811223987363657, -0.14791119850824697, 0.08388283740312207, -0.05797472874282749, -0.10488037795017836, 0.07404819557391959, 0.2732304858331868, -0.324716982952619, -0.2881982197700921, 0.07573086238600377, -0.26297318278732945, -0.17790505599025322, 0.17033374474494387, -0.052127863444245845, 0.013201093924689596, 0.09112465941797059, -0.009058269186703077, -0.0697874231638892, -0.16972516736378734, 0.2888922404963523, 0.07838922963177754, 0.2495207539364948, -0.009411922442900428, 0.1441231539899136, -0.01260573864259394, -0.00741082103725649, 0.054253102406480555, -0.11094481101130349, 0.12649111570869337, 0.21457914738931647, 0.09315155976909702, 0.2549629427228218, -0.3968207524473763, -0.24339623422503975, 0.07891165061411842, 0.12190648071962149, 0.1552487910454856, -0.025612195235503427, -0.27669074879643524, 0.053252585360512014, -0.1664179275443746, -0.1702385477453344, -0.10587367621818715, -0.014117269508414349, 0.02149727407022048, -0.281477942747573, 0.12139241459337458, 0.07864423760733867, 0.03515896808861171, -0.003596047128913766, -0.03995629511102718, -0.0108188246258424, 0.09885497706531847, 0.03886708418934377, -0.01706802841449567, 0.18675573204517742, -0.11437150160190097, -0.12861596912114046, 0.3699680669154277, -0.11522204627409198, -0.20879988239138877, 0.1996589003572777, -0.1629740688634121, -0.16231654996399658, 0.13717328255080571, 0.15302432988280967, 0.0809161603841457, -0.22208655771643507, 0.07186742683367456, -0.033841332199714955, 0.18380765104666352, 0.003744633813088728, 0.008617970910933564, 0.20030628634277353, 0.18429733779610893, 0.02338661842632218, 0.19206422303262624, -0.06886196845226873, -0.19877065925945733, -0.34805121695843794, -0.13597138188937205, -0.1710995156160098, 0.09437870855099853, -0.09661903099198352, -0.13632327134294783, 0.35723577933070266, 0.18675870676951628, 0.2191788271045849, 0.060765190339071073, 0.23819160672551873, 0.16066049389103113, 0.048178039532119285, 0.01740435299353074, 0.19823346570355155, 0.1384248147852782, 0.10273339282484505, -0.26075163862265455, 0.1002344717508403, -0.0024577857081983555] |
708.2438 | On Ullman's theorem in computer vision | Both in the plane and in space, we invert the nonlinear Ullman transformation
for 3 points and 3 orthographic cameras. While Ullman's theorem assures a
unique reconstruction modulo a reflection for 3 cameras and 4 points, we find a
locally unique reconstruction for 3 cameras and 3 points. Explicit
reconstruction formulas allow to decide whether picture data of three cameras
seeing three points can be realized as a point-camera configuration.
| cs.CV cs.AI | both in the plane and in space we invert the nonlinear ullman transformation for 3 points and 3 orthographic cameras while ullmans theorem assures a unique reconstruction modulo a reflection for 3 cameras and 4 points we find a locally unique reconstruction for 3 cameras and 3 points explicit reconstruction formulas allow to decide whether picture data of three cameras seeing three points can be realized as a pointcamera configuration | [['both', 'in', 'the', 'plane', 'and', 'in', 'space', 'we', 'invert', 'the', 'nonlinear', 'ullman', 'transformation', 'for', '3', 'points', 'and', '3', 'orthographic', 'cameras', 'while', 'ullmans', 'theorem', 'assures', 'a', 'unique', 'reconstruction', 'modulo', 'a', 'reflection', 'for', '3', 'cameras', 'and', '4', 'points', 'we', 'find', 'a', 'locally', 'unique', 'reconstruction', 'for', '3', 'cameras', 'and', '3', 'points', 'explicit', 'reconstruction', 'formulas', 'allow', 'to', 'decide', 'whether', 'picture', 'data', 'of', 'three', 'cameras', 'seeing', 'three', 'points', 'can', 'be', 'realized', 'as', 'a', 'pointcamera', 'configuration']] | [-0.13921165752553327, 0.03973058020860395, -0.10879043604740325, 0.07384831577827058, -0.054972372908035624, -0.18926006287117214, 0.055970946347395724, 0.3969775366542094, -0.262398534502341, -0.34685410142821427, 0.16356492461123065, -0.3046871991485686, -0.1341640365563388, 0.20058237193220788, -0.11239957088251043, 0.03788577961762819, 0.055424098089775616, -0.0004923759637783994, -0.13314841862302274, -0.22917051975759128, 0.2729213402661331, -0.07029157868750832, 0.24341581597314765, -0.013812666589407907, 0.17469548672841698, 0.08154201652060318, -0.02340083254282089, 0.03186769156865707, -0.07382578616414, 0.05526823303251363, 0.2804074687677819, 0.15457158453543396, 0.15594427345101447, -0.4103597636498949, -0.13601536450304968, 0.12021041890222799, 0.14990531513381833, 0.043220750203438324, -0.0417063628350768, -0.2595114297343089, 0.08720980165526271, -0.08158035261337371, -0.1530728593797368, -0.07703938195481896, 0.03170927809825277, -0.022396833605906816, -0.31778801922850747, -0.033753491968769485, 0.05292894515921088, 0.12011594648527749, -0.09499068566433647, -0.05380510093699045, -0.006213365533553502, 0.1566559199024649, -0.06214194462689407, 0.06667356535463649, 0.03953250389381805, -0.14745979087413563, -0.11757604210801861, 0.3869554390582968, 0.00802609320004087, -0.2251251802286681, 0.17102257543079116, -0.14511008697616704, -0.12557281379807084, 0.175295002922854, 0.14475084033192082, 0.09008403042988743, -0.12067379003993291, 0.08018653078675818, -0.029830652569858906, 0.18587667955195203, 0.1414136477499543, -0.015176300562041648, 0.18416661022724035, 0.09186791953192476, 0.13482081498402884, 0.06570636785096105, -0.162110163611086, 0.02569925626192023, -0.28124603407238336, -0.1833649901947116, -0.15080905343262097, 0.043738503885619784, -0.13554538009082215, -0.13426153062541477, 0.3905758616610375, 0.13753516173592822, 0.20740853252765887, 0.04876833630944876, 0.30051572818089933, 0.05982558612595312, 0.0697824199382654, 0.09447319355026326, 0.17788256167927208, 0.03688628156669438, 0.06379654375247329, -0.08036596637547892, -0.05943592402207501, 0.1013629479224191] |
708.2439 | An extension of Boyd's $p$-adic algorithm for the harmonic series | In this paper we will extend a $p$-adic algorithm of Boyd in order to study
the size of the set: \[J_p(y)=\left\{n :\sum_{j=1}^{n}\frac{y^j}{j}\equiv
0(\mod p)\right\}.\] Suppose that $p$ is one of the first 100 odd primes and
$y\in\{1,2,...,p-1\}$, then our calculations prove that $|J_p(y)|<\infty$ in
24240 out of 24578 possible cases. Among other results we show that
$|J_{13}(9)|=18763$. The paper concludes by discussing some possible
applications of our method to sums involving Fibonacci numbers.
| math.NT | in this paper we will extend a padic algorithm of boyd in order to study the size of the set j_pyleftn sum_j1nfracyjjequiv 0mod pright suppose that p is one of the first 100 odd primes and yin12p1 then our calculations prove that j_pyinfty in 24240 out of 24578 possible cases among other results we show that j_13918763 the paper concludes by discussing some possible applications of our method to sums involving fibonacci numbers | [['in', 'this', 'paper', 'we', 'will', 'extend', 'a', 'padic', 'algorithm', 'of', 'boyd', 'in', 'order', 'to', 'study', 'the', 'size', 'of', 'the', 'set', 'j_pyleftn', 'sum_j1nfracyjjequiv', '0mod', 'pright', 'suppose', 'that', 'p', 'is', 'one', 'of', 'the', 'first', '100', 'odd', 'primes', 'and', 'yin12p1', 'then', 'our', 'calculations', 'prove', 'that', 'j_pyinfty', 'in', '24240', 'out', 'of', '24578', 'possible', 'cases', 'among', 'other', 'results', 'we', 'show', 'that', 'j_13918763', 'the', 'paper', 'concludes', 'by', 'discussing', 'some', 'possible', 'applications', 'of', 'our', 'method', 'to', 'sums', 'involving', 'fibonacci', 'numbers']] | [-0.15737083106598054, 0.09180716496440723, -0.08356674753524589, 0.04595175805275865, -0.04488370564738006, -0.08109326050334582, 0.07255605952884776, 0.32861754608651, -0.28192883160557936, -0.2655787348436813, 0.06406943344292372, -0.30022713474252005, -0.21102115156298334, 0.23776132871298064, -0.07743817212229426, 0.013779749423547677, 0.057278728444185675, 0.08523606503325881, -0.04248451296007261, -0.3650890053391005, 0.3474527641841577, -0.033627749985140384, 0.15844793022243361, 0.07764590521709937, 0.030150450173426758, -0.010525949623887285, -0.02975206950566534, 0.0018008844911243862, -0.16873789028161837, 0.1209248213915888, 0.2664481123175585, 0.12017573154827749, 0.3104928634870289, -0.39488393404154165, -0.13156854210308555, 0.1649972407824614, 0.14289967206334978, 0.049034828757585, -0.02425149416508661, -0.21378342380083984, 0.1799723350753387, -0.17186549408925753, -0.16407259223121923, -0.10323858941256096, 0.05866690087273265, 0.06930466020606797, -0.28053006950314296, 0.007233805079577547, 0.107795672716968, 0.03203015393746406, -0.0382059249695334, -0.18092484790549584, 0.052249450853912895, 0.05230818676522397, 0.09034558110711673, -0.005917508723073159, 0.006384129015107949, -0.04871877609879117, -0.15650880306422937, 0.3792387414159197, -0.028761709691025317, -0.15258233999889909, 0.11964244027551489, -0.18655864696131286, -0.22392549820131424, 0.061305379325693306, 0.11830259781951706, 0.1441738432216825, -0.05862532225155243, 0.09431768411146053, -0.1254693099269361, 0.13481031337075614, 0.11043949522586032, -0.01687938348164387, 0.1047428471431362, 0.11056128513971061, 0.052192695557041036, 0.18681516692088213, -0.058439292747414474, -0.031860832267821854, -0.3459889341258641, -0.2010962952803256, -0.1952107802146312, 0.06423221030413653, -0.06010859725607919, -0.09921025185339562, 0.39701756022193213, 0.24649464168275395, 0.17073874488811602, 0.11093656283760951, 0.27040558267793985, 0.04589297887926505, 0.005574379313850041, 0.05689194950250429, 0.1399235418017876, 0.12787435949201498, 0.018586680829299217, -0.15979572537947784, -0.0200269216685697, 0.08507073198614473] |
708.244 | Spitzer Observations of Gamma-Ray Burst Host Galaxies: A Unique Window
into High Redshift Chemical Evolution and Star-formation | We present deep Spitzer 3.6 micron observations of three z~5 GRB host
galaxies. Our observations reveal that z~5 GRB hosts are a factor of 3 less
luminous than the median rest-frame V-band luminosity of spectroscopically
confirmed z~5 galaxies in the GOODS fields and the UDF. The strong connection
between GRBs and massive star formation implies that not all star-forming
galaxies at these redshifts are currently being accounted for in deep surveys
and GRBs provide a unique way to measure the contribution to the star-formation
rate density from galaxies at the faint end of the galaxy luminosity function.
By correlating the co-moving star-formation rate density with co-moving GRB
rates at lower redshifts, we estimate a lower limit to the star-formation rate
density of 0.12+/-0.09 and 0.09+/-0.05 M_sun/yr/Mpc^3 at z~4.5 and z~6,
respectively. Finally, we provide evidence that the average metallicity of
star-forming galaxies evolves as (stellar mass density)^(0.69+/-0.17) between
$z\sim5$ and $z\sim0$, probably indicative of the loss of a significant
fraction of metals to the intergalactic medium, particularly in low-mass
galaxies.
| astro-ph | we present deep spitzer 36 micron observations of three z5 grb host galaxies our observations reveal that z5 grb hosts are a factor of 3 less luminous than the median restframe vband luminosity of spectroscopically confirmed z5 galaxies in the goods fields and the udf the strong connection between grbs and massive star formation implies that not all starforming galaxies at these redshifts are currently being accounted for in deep surveys and grbs provide a unique way to measure the contribution to the starformation rate density from galaxies at the faint end of the galaxy luminosity function by correlating the comoving starformation rate density with comoving grb rates at lower redshifts we estimate a lower limit to the starformation rate density of 012009 and 009005 m_sunyrmpc3 at z45 and z6 respectively finally we provide evidence that the average metallicity of starforming galaxies evolves as stellar mass density069017 between zsim5 and zsim0 probably indicative of the loss of a significant fraction of metals to the intergalactic medium particularly in lowmass galaxies | [['we', 'present', 'deep', 'spitzer', '36', 'micron', 'observations', 'of', 'three', 'z5', 'grb', 'host', 'galaxies', 'our', 'observations', 'reveal', 'that', 'z5', 'grb', 'hosts', 'are', 'a', 'factor', 'of', '3', 'less', 'luminous', 'than', 'the', 'median', 'restframe', 'vband', 'luminosity', 'of', 'spectroscopically', 'confirmed', 'z5', 'galaxies', 'in', 'the', 'goods', 'fields', 'and', 'the', 'udf', 'the', 'strong', 'connection', 'between', 'grbs', 'and', 'massive', 'star', 'formation', 'implies', 'that', 'not', 'all', 'starforming', 'galaxies', 'at', 'these', 'redshifts', 'are', 'currently', 'being', 'accounted', 'for', 'in', 'deep', 'surveys', 'and', 'grbs', 'provide', 'a', 'unique', 'way', 'to', 'measure', 'the', 'contribution', 'to', 'the', 'starformation', 'rate', 'density', 'from', 'galaxies', 'at', 'the', 'faint', 'end', 'of', 'the', 'galaxy', 'luminosity', 'function', 'by', 'correlating', 'the', 'comoving', 'starformation', 'rate', 'density', 'with', 'comoving', 'grb', 'rates', 'at', 'lower', 'redshifts', 'we', 'estimate', 'a', 'lower', 'limit', 'to', 'the', 'starformation', 'rate', 'density', 'of', '012009', 'and', '009005', 'm_sunyrmpc3', 'at', 'z45', 'and', 'z6', 'respectively', 'finally', 'we', 'provide', 'evidence', 'that', 'the', 'average', 'metallicity', 'of', 'starforming', 'galaxies', 'evolves', 'as', 'stellar', 'mass', 'density069017', 'between', 'zsim5', 'and', 'zsim0', 'probably', 'indicative', 'of', 'the', 'loss', 'of', 'a', 'significant', 'fraction', 'of', 'metals', 'to', 'the', 'intergalactic', 'medium', 'particularly', 'in', 'lowmass', 'galaxies']] | [-0.03678105288313445, 0.10208947266714123, -0.05431010326214447, 0.16768675189309135, -0.09342026589772925, -0.023268595301618653, 0.09766475608834473, 0.5093047393117837, -0.033094362958061126, -0.33205329470648737, -0.014034129022188417, -0.33516480869329174, 0.01821224029231008, 0.18532226824887502, 0.024644595527642234, -0.06098544114676421, 0.009695445198543415, -0.18009656548191944, -0.05601839771812146, -0.39170194595359775, 0.29893790936644027, 0.10908153478835547, 0.17216021620022262, -0.0457491963728147, 0.10688811649072046, -0.16450832842732083, -0.12437635421520099, -0.06881167547422472, -0.21757653865799925, -0.02046654892326918, 0.29177543141288004, 0.14501154732271404, 0.27047279240106215, -0.29386921921287645, -0.18942777136574962, 0.10060957007522801, 0.21584578235159646, 0.006421840509879375, -0.0927336238558867, -0.2553717051144734, 0.06980983871676608, -0.1724513083651751, -0.16088643400444688, 0.14036968149367474, 0.019548195372419263, 0.04387442006947038, -0.1860203292356068, 0.25341855198657975, -0.04253414367718767, 0.112258758415429, -0.11642121186223395, -0.04129676935039907, -0.11712034194016394, 0.04122687978000787, 0.023376554077836925, 0.14444703712200602, 0.2144284920326384, -0.23231223768353865, 0.03378857608639194, 0.3943807520139628, -0.09112087322733976, 0.115069614589482, 0.2537598800148346, -0.2504105235054018, -0.2029955807820933, 0.14343128202226527, 0.1753042632334693, 0.08317774509966462, -0.17943669172438853, -0.055375246107327324, 0.004300003467702089, 0.25220162533906787, -0.007243283734305533, 0.13771186182479317, 0.3602116549398728, 0.08283472134770747, 0.06795908932080548, 0.03816918461321446, -0.2326795440669099, 0.055761504113886085, -0.24821955651117344, -0.1119449954538489, -0.14169531838458121, 0.1707614324067637, -0.211283325278486, -0.052753233419826066, 0.32391623847331563, 0.10854238722038394, 0.2578254936117969, 0.21369307662198644, 0.2881351840085612, 0.10286928591085598, 0.16102515034793044, 0.14877594580238093, 0.3416597084564012, 0.17451866200851823, 0.028407841362477374, -0.21175485009377723, 0.0791158999942388, 0.01197346240354557] |
708.2441 | Compactifications of Moduli Spaces and Cellular Decompositions | This paper studies compactifications of moduli spaces involving closed
Riemann surfaces. The first main result identifies the homeomorphism types of
these compactifications. The second main result introduces orbicell
decompositions on these spaces using semistable ribbon graphs extending the
earlier work of Looijenga.
| math.GT math.AT | this paper studies compactifications of moduli spaces involving closed riemann surfaces the first main result identifies the homeomorphism types of these compactifications the second main result introduces orbicell decompositions on these spaces using semistable ribbon graphs extending the earlier work of looijenga | [['this', 'paper', 'studies', 'compactifications', 'of', 'moduli', 'spaces', 'involving', 'closed', 'riemann', 'surfaces', 'the', 'first', 'main', 'result', 'identifies', 'the', 'homeomorphism', 'types', 'of', 'these', 'compactifications', 'the', 'second', 'main', 'result', 'introduces', 'orbicell', 'decompositions', 'on', 'these', 'spaces', 'using', 'semistable', 'ribbon', 'graphs', 'extending', 'the', 'earlier', 'work', 'of', 'looijenga']] | [-0.20413169646192164, 0.08027581435938676, -0.06149104978179648, 0.11008442772851725, -0.09117879252880812, -0.06334473731528435, -0.007214720579906411, 0.3012702988593706, -0.2546980753430121, -0.2430578488856554, 0.10408561337473136, -0.1949938927289276, -0.20555557535650829, 0.21405399814137213, -0.2503752187337904, 0.005581544401745002, 0.058083295467354, -0.09297444702436526, -0.08616573746050042, -0.36683909346659976, 0.5459008859913974, -0.08029098657979852, 0.24743918710876078, 0.07636266915748517, -0.006675312628171274, -0.016488406590984335, -0.10942256282128039, -0.05911565994444702, -0.2107030039852751, 0.250928081261615, 0.3131408917085667, 0.022190028236114552, 0.15914583237220845, -0.38686032513422625, -0.20563601946369522, 0.17932108984816642, 0.12960759488244852, -0.005349001403720606, 0.047058112861122936, -0.2692468919392143, 0.04235508896055676, -0.07650218594686262, -0.1455170051416471, -0.07047721313401348, 0.007335249511968522, 0.022891048142420396, -0.11256610881537199, -0.048417727950783, 0.1766936753299974, 0.09802663131129175, -0.1342522318009287, -0.13601269847935155, -0.05846144270063156, 0.07358769970458179, 0.11522981910301107, 0.07556721553694279, 0.07558796976116441, -0.01572179472229133, -0.17035057845835885, 0.29599457269623164, -0.0383384640639027, -0.15539596863977967, 0.14439610755514531, -0.11254220474733129, -0.26726462842807885, 0.11227632633277349, 0.09413738823717549, 0.24580357250358378, -0.010240941574530942, 0.1760889143084309, -0.12161202382828508, 0.04841749548601607, 0.16202074324385085, -0.05591222918814137, 0.11966597517242744, 0.17764234930897752, 0.08089031201476853, 0.1821462243484954, -0.0027912697433272286, -0.05238867162760081, -0.45558399853429626, -0.18381125577503726, -0.06832636223130283, 0.14667452882886642, -0.12901230072159142, -0.2187294743600346, 0.44018508440681864, 0.05956848843821457, 0.1736022633988233, 0.15310988881226098, 0.2420376762526021, -0.033209336056773155, 0.03028528681135781, 0.02600462764080259, 0.15781121882831767, 0.24440557864450274, 0.004007922618516854, -0.07041939340845038, -0.05687913138951574, 0.2988973454173122] |
708.2442 | Space and camera path reconstruction for omni-directional vision | In this paper, we address the inverse problem of reconstructing a scene as
well as the camera motion from the image sequence taken by an omni-directional
camera. Our structure from motion results give sharp conditions under which the
reconstruction is unique. For example, if there are three points in general
position and three omni-directional cameras in general position, a unique
reconstruction is possible up to a similarity. We then look at the
reconstruction problem with m cameras and n points, where n and m can be large
and the over-determined system is solved by least square methods. The
reconstruction is robust and generalizes to the case of a dynamic environment
where landmarks can move during the movie capture. Possible applications of the
result are computer assisted scene reconstruction, 3D scanning, autonomous
robot navigation, medical tomography and city reconstructions.
| cs.CV cs.AI | in this paper we address the inverse problem of reconstructing a scene as well as the camera motion from the image sequence taken by an omnidirectional camera our structure from motion results give sharp conditions under which the reconstruction is unique for example if there are three points in general position and three omnidirectional cameras in general position a unique reconstruction is possible up to a similarity we then look at the reconstruction problem with m cameras and n points where n and m can be large and the overdetermined system is solved by least square methods the reconstruction is robust and generalizes to the case of a dynamic environment where landmarks can move during the movie capture possible applications of the result are computer assisted scene reconstruction 3d scanning autonomous robot navigation medical tomography and city reconstructions | [['in', 'this', 'paper', 'we', 'address', 'the', 'inverse', 'problem', 'of', 'reconstructing', 'a', 'scene', 'as', 'well', 'as', 'the', 'camera', 'motion', 'from', 'the', 'image', 'sequence', 'taken', 'by', 'an', 'omnidirectional', 'camera', 'our', 'structure', 'from', 'motion', 'results', 'give', 'sharp', 'conditions', 'under', 'which', 'the', 'reconstruction', 'is', 'unique', 'for', 'example', 'if', 'there', 'are', 'three', 'points', 'in', 'general', 'position', 'and', 'three', 'omnidirectional', 'cameras', 'in', 'general', 'position', 'a', 'unique', 'reconstruction', 'is', 'possible', 'up', 'to', 'a', 'similarity', 'we', 'then', 'look', 'at', 'the', 'reconstruction', 'problem', 'with', 'm', 'cameras', 'and', 'n', 'points', 'where', 'n', 'and', 'm', 'can', 'be', 'large', 'and', 'the', 'overdetermined', 'system', 'is', 'solved', 'by', 'least', 'square', 'methods', 'the', 'reconstruction', 'is', 'robust', 'and', 'generalizes', 'to', 'the', 'case', 'of', 'a', 'dynamic', 'environment', 'where', 'landmarks', 'can', 'move', 'during', 'the', 'movie', 'capture', 'possible', 'applications', 'of', 'the', 'result', 'are', 'computer', 'assisted', 'scene', 'reconstruction', '3d', 'scanning', 'autonomous', 'robot', 'navigation', 'medical', 'tomography', 'and', 'city', 'reconstructions']] | [-0.09033669680660672, 0.05380299948655707, -0.07736651742648658, 0.018054461469401376, -0.06859703351401022, -0.16993647550597138, -0.045311092356881265, 0.4160316868590704, -0.3052455525325638, -0.3721319155436873, 0.14107509960919834, -0.29432935394900106, -0.1785340376596466, 0.18827684916744847, -0.15305498350357663, 0.07837285437584059, 0.1197700649432406, 0.055797305729145694, -0.07740606076127944, -0.21101885511492635, 0.27272144069665694, 0.002172458613210398, 0.25049230071000644, -0.004743916981775935, 0.15561565859715684, 0.05431255169231377, 0.004817660914841986, 0.05564282587526933, -0.08547122588556638, 0.09250447213265073, 0.3002945168746932, 0.15497270482592285, 0.22374161475749713, -0.41410238085233647, -0.1854578848503044, 0.07913167168136578, 0.14222371463825845, 0.0837395500460896, -0.0721003833476562, -0.3462764923241448, 0.08516229791701704, -0.0670592777078391, -0.08574464625638464, -0.03310542822262083, 0.016350400907432904, -0.02236896222187341, -0.29744981030091655, 0.0363321295581704, 0.025984958302654813, 0.075516122099741, -0.10859422100221981, -0.053549896206106125, 0.03562376430541601, 0.21719548874872102, -0.0017863960761198964, 0.07327609801195913, 0.1087779285001528, -0.17869289309306044, -0.0941341103432511, 0.42585981720923516, 0.0017119201956370819, -0.22567663797636286, 0.17714134574719315, -0.12565544172379095, -0.09173547602056162, 0.15010389697778484, 0.20169347538815244, 0.16890308317606864, -0.16075131042727162, 0.07276149479371995, -0.07818712386559101, 0.13688287190229131, 0.0843777133597304, -0.028162960274367713, 0.1846858217664387, 0.196692617242292, 0.1455941476751173, 0.11774892027260385, -0.18511285803928648, -0.018370100621815662, -0.26927869913397706, -0.13857347098435613, -0.21533924971869134, 0.02495551277356951, -0.08439283745057131, -0.11895361110109134, 0.3812620763167523, 0.19379996469554803, 0.21570152836595324, 0.02241643223375001, 0.3660202546558086, 0.07050086442040333, 0.03236569761150125, 0.0628876933031648, 0.17253133001318877, 0.028616993718416146, 0.12767396475174936, -0.14764347610880446, 0.03269144702716258, 0.07866766631427774] |
708.2443 | HypExp 2, Expanding Hypergeometric Functions about Half-Integer
Parameters | In this article, we describe a new algorithm for the expansion of
hypergeometric functions about half-integer parameters. The implementation of
this algorithm for certain classes of hypergeometric functions in the already
existing Mathematica package HypExp is described. Examples of applications in
Feynman diagrams with up to four loops are given.
| hep-ph | in this article we describe a new algorithm for the expansion of hypergeometric functions about halfinteger parameters the implementation of this algorithm for certain classes of hypergeometric functions in the already existing mathematica package hypexp is described examples of applications in feynman diagrams with up to four loops are given | [['in', 'this', 'article', 'we', 'describe', 'a', 'new', 'algorithm', 'for', 'the', 'expansion', 'of', 'hypergeometric', 'functions', 'about', 'halfinteger', 'parameters', 'the', 'implementation', 'of', 'this', 'algorithm', 'for', 'certain', 'classes', 'of', 'hypergeometric', 'functions', 'in', 'the', 'already', 'existing', 'mathematica', 'package', 'hypexp', 'is', 'described', 'examples', 'of', 'applications', 'in', 'feynman', 'diagrams', 'with', 'up', 'to', 'four', 'loops', 'are', 'given']] | [-0.1311567502704506, 0.05657656104969127, -0.051790422764701805, 0.07510054872456785, -0.08349440779004778, -0.12232279042922417, 0.004386600582119153, 0.3858557165581353, -0.226187325462851, -0.32200969565583737, 0.0690691888413145, -0.23603128945949126, -0.20396359302863784, 0.2941829234561218, -0.03822241065909668, 0.06793087532705798, 0.0635525920827474, 0.01693970595583871, -0.12823435352468976, -0.32822646930509686, 0.30785651478384224, -0.006342058858777188, 0.14903689417227797, 0.04157977101716156, 0.09776905483129072, -0.01879424348055404, -0.06832494615216037, -0.04740034959906218, -0.1544900208673611, 0.12707384426754956, 0.28530681990467166, 0.1615240350429489, 0.21547740026928333, -0.3311286315093843, -0.1131493833524232, 0.04810019692748177, 0.17806506952346893, 0.09992901501911026, 0.016260829088943347, -0.22624177265228057, 0.054654638473020524, -0.21887126661913128, -0.19335852339103513, -0.13274054818463568, 0.0016689011827111244, 0.08353593817208799, -0.2527771705609499, 0.010397616099110064, -0.0003873302924389742, 0.09133912750272727, 0.004366466024776502, -0.16675128706977987, 0.0849538326301441, 0.08474952076580755, 0.011981898780950174, 0.024408489608262876, 0.04794183448527237, -0.17205771585280188, -0.17606941099297635, 0.3221983218907702, 0.014066490971920441, -0.22880109859516426, 0.10514108551552101, -0.11666957764145063, -0.23677101382529553, 0.1473382650969588, 0.16906140364554464, 0.15251851508545936, -0.19527763979775564, 0.13721147687094196, -0.03135560947109242, 0.07809767860691158, 0.1166801748426669, -0.014329412761999637, 0.1346487160011822, 0.09261532584015204, -0.05199671434998816, 0.22187268471687424, 0.06828086207411727, -0.12670566403896225, -0.414531872588761, -0.20003189118008832, -0.136599289321659, -0.020568793126362925, -0.10397811270109852, -0.2524688309248613, 0.4898115972779235, 0.1550456021095113, 0.13457828176823178, 0.06256345336382486, 0.2846474026576901, 0.15743996776944522, 0.11827083946946933, 0.08577314998992548, 0.10940436729971244, 0.12222729049318908, 0.09295994018641662, -0.1252251861293857, -0.012468326813066187, 0.146340034094316] |
708.2444 | Ionization Front Instabilities in Primordial H II Regions | Radiative cooling by metals in shocked gas mediates the formation of
ionization front instabilities in the galaxy today that are responsible for a
variety of phenomena in the interstellar medium, from the morphologies of
nebulae to triggered star formation in molecular clouds. An important question
in early reionization and chemical enrichment of the intergalactic medium is
whether such instabilities arose in the H II regions of the first stars and
primeval galaxies, which were devoid of metals. We present three-dimensional
numerical simulations that reveal both shadow and thin-shell instabilities
readily formed in primordial gas. We find that the hard UV spectra of
Population III stars broadened primordial ionization fronts, causing H2
formation capable of inciting violent thin- shell instabilities in D-type
fronts, even in the presence of intense Lyman-Werner flux. The high post- front
gas temperatures associated with He ionization sustained and exacerbated shadow
instabilities, unaided by molecular hydrogen cooling. Our models indicate that
metals eclipsed H2 cooling in I-front instabilities at modest concentrations,
from 0.001- 0.01 solar. We conclude that ionization front instabilities were
prominent in the H II regions of the first stars and galaxies, influencing the
escape of ionizing radiation and metals into the early universe.
| astro-ph | radiative cooling by metals in shocked gas mediates the formation of ionization front instabilities in the galaxy today that are responsible for a variety of phenomena in the interstellar medium from the morphologies of nebulae to triggered star formation in molecular clouds an important question in early reionization and chemical enrichment of the intergalactic medium is whether such instabilities arose in the h ii regions of the first stars and primeval galaxies which were devoid of metals we present threedimensional numerical simulations that reveal both shadow and thinshell instabilities readily formed in primordial gas we find that the hard uv spectra of population iii stars broadened primordial ionization fronts causing h2 formation capable of inciting violent thin shell instabilities in dtype fronts even in the presence of intense lymanwerner flux the high post front gas temperatures associated with he ionization sustained and exacerbated shadow instabilities unaided by molecular hydrogen cooling our models indicate that metals eclipsed h2 cooling in ifront instabilities at modest concentrations from 0001 001 solar we conclude that ionization front instabilities were prominent in the h ii regions of the first stars and galaxies influencing the escape of ionizing radiation and metals into the early universe | [['radiative', 'cooling', 'by', 'metals', 'in', 'shocked', 'gas', 'mediates', 'the', 'formation', 'of', 'ionization', 'front', 'instabilities', 'in', 'the', 'galaxy', 'today', 'that', 'are', 'responsible', 'for', 'a', 'variety', 'of', 'phenomena', 'in', 'the', 'interstellar', 'medium', 'from', 'the', 'morphologies', 'of', 'nebulae', 'to', 'triggered', 'star', 'formation', 'in', 'molecular', 'clouds', 'an', 'important', 'question', 'in', 'early', 'reionization', 'and', 'chemical', 'enrichment', 'of', 'the', 'intergalactic', 'medium', 'is', 'whether', 'such', 'instabilities', 'arose', 'in', 'the', 'h', 'ii', 'regions', 'of', 'the', 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708.2445 | Horizontal Branch Stars and the Ultraviolet Universe | Extremely hot horizontal branch (HB) stars and their progeny are widely
considered to be responsible for the "ultraviolet upturn" (or UVX) phenomenon
observed in elliptical galaxies and the bulges of spirals. Yet, the precise
evolutionary channels that lead to the production of these stars remain the
source of much debate. In this review, we discuss two key physical ingredients
that are required in order for reliable quantitative models of the UV output of
stellar populations to be computed, namely, the mass loss rates of red giant
branch stars and the helium enrichment "law" at high metallicities. In
particular, the recent evidence pointing towards a strong enhancement in the
abundances of the alpha-elements in the Galactic bulge (compared to the disk),
and also the available indications of a similar overabundance in (massive)
elliptical galaxies, strongly suggest that the helium abundance Y may be higher
in ellipticals and bulges than it is in spiral disks by an amount that may
reach up to 0.15 at [Fe/H] ~ +0.5. If so, this would strongly favor the
production of hot HB stars at high metallicity in galactic spheroids. We also
discuss the existence of mass loss recipes beyond the commonly adopted Reimers
"law" that are not only more consistent with the available empirical data, but
also much more favorable to the production of extended HB stars at high
metallicity. Finally, we discuss new empirical evidence that suggests that
different evolutionary channels may be responsible for the production of EHB
stars in the field and in clusters.
| astro-ph | extremely hot horizontal branch hb stars and their progeny are widely considered to be responsible for the ultraviolet upturn or uvx phenomenon observed in elliptical galaxies and the bulges of spirals yet the precise evolutionary channels that lead to the production of these stars remain the source of much debate in this review we discuss two key physical ingredients that are required in order for reliable quantitative models of the uv output of stellar populations to be computed namely the mass loss rates of red giant branch stars and the helium enrichment law at high metallicities in particular the recent evidence pointing towards a strong enhancement in the abundances of the alphaelements in the galactic bulge compared to the disk and also the available indications of a similar overabundance in massive elliptical galaxies strongly suggest that the helium abundance y may be higher in ellipticals and bulges than it is in spiral disks by an amount that may reach up to 015 at feh 05 if so this would strongly favor the production of hot hb stars at high metallicity in galactic spheroids we also discuss the existence of mass loss recipes beyond the commonly adopted reimers law that are not only more consistent with the available empirical data but also much more favorable to the production of extended hb stars at high metallicity finally we discuss new empirical evidence that suggests that different evolutionary channels may be responsible for the production of ehb stars in the field and in clusters | [['extremely', 'hot', 'horizontal', 'branch', 'hb', 'stars', 'and', 'their', 'progeny', 'are', 'widely', 'considered', 'to', 'be', 'responsible', 'for', 'the', 'ultraviolet', 'upturn', 'or', 'uvx', 'phenomenon', 'observed', 'in', 'elliptical', 'galaxies', 'and', 'the', 'bulges', 'of', 'spirals', 'yet', 'the', 'precise', 'evolutionary', 'channels', 'that', 'lead', 'to', 'the', 'production', 'of', 'these', 'stars', 'remain', 'the', 'source', 'of', 'much', 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708.2446 | Neutrino Experiments | This article is a summary of four introductory lectures on ``Neutrino
Experiments,'' given at the 2006 TASI summer school. The purposes were to
sketch out the present questions in neutrino physics and to discuss the
experimental challenges in addressing them. This article concentrates on
specific, illustrative examples rather than providing a complete overview of
the field of neutrino physics. These lectures were meant to lay the ground-work
for the talks which followed on specific, selected topics in neutrino physics.
| hep-ex | this article is a summary of four introductory lectures on neutrino experiments given at the 2006 tasi summer school the purposes were to sketch out the present questions in neutrino physics and to discuss the experimental challenges in addressing them this article concentrates on specific illustrative examples rather than providing a complete overview of the field of neutrino physics these lectures were meant to lay the groundwork for the talks which followed on specific selected topics in neutrino physics | [['this', 'article', 'is', 'a', 'summary', 'of', 'four', 'introductory', 'lectures', 'on', 'neutrino', 'experiments', 'given', 'at', 'the', '2006', 'tasi', 'summer', 'school', 'the', 'purposes', 'were', 'to', 'sketch', 'out', 'the', 'present', 'questions', 'in', 'neutrino', 'physics', 'and', 'to', 'discuss', 'the', 'experimental', 'challenges', 'in', 'addressing', 'them', 'this', 'article', 'concentrates', 'on', 'specific', 'illustrative', 'examples', 'rather', 'than', 'providing', 'a', 'complete', 'overview', 'of', 'the', 'field', 'of', 'neutrino', 'physics', 'these', 'lectures', 'were', 'meant', 'to', 'lay', 'the', 'groundwork', 'for', 'the', 'talks', 'which', 'followed', 'on', 'specific', 'selected', 'topics', 'in', 'neutrino', 'physics']] | [-0.035290757848444994, 0.16030734649393708, -0.05276471696155959, 0.13761947475391428, -0.13576394168047023, -0.13985647545844504, 0.027360547519630834, 0.30252672529107405, -0.14952240289701738, -0.38343224830371386, 0.1461647878197623, -0.305453357375168, -0.11422859449411117, 0.2448842496599389, -0.06283737002294275, -0.018228863094803652, 0.09456386550364992, 0.020937205139028876, -0.10693825623374197, -0.3805490593673496, 0.31868485379021, 0.16865533841420202, 0.2668859940140119, 0.11187040194562531, 0.11140073959043698, -0.0536443896744919, -0.1838181405151381, -0.07402883328591721, -0.1882795050174375, 0.1466540189554231, 0.3767084330320358, 0.1636647009438116, 0.28990880597995805, -0.45446990244090557, -0.1268509475254937, -0.017820443200607654, 0.05898660274010293, 0.11932377403313175, -0.09348880139892755, -0.2997543324209467, -0.0024299567647844177, -0.112378659434145, -0.121295406789625, -0.028308733018657453, -0.01225153944319515, 0.006412663339354287, -0.14975555972608773, -0.0020870997016377087, 0.0388440792743541, 0.1724397244662801, 0.013348261295240136, -0.23088751279430675, 0.10166231395464533, 0.09009495423517272, 0.07745639057579462, -0.001716274763693255, 0.11958937926359381, -0.14525028636319492, -0.14810713373796566, 0.4202508009215699, 0.028261454088305406, -0.08270748235473904, 0.16256961198317335, -0.14698976407688158, -0.19355123175331687, 0.033953196817089484, 0.24969160397643153, 0.09296248205112223, -0.2110235310112468, 0.07703316308295684, -0.04432345739907668, 0.10801198351185155, 0.0340256122312261, -0.04472069409263285, 0.32898560345550126, 0.2369381599364024, -0.02055481958952349, 0.06738195714505413, -0.03564376684968195, -0.0810606985506189, -0.4625132255067554, -0.11577130432676853, -0.10419305090945732, 0.0565710166834672, 0.11898664583741611, -0.0811584697258246, 0.5174017093981369, 0.19001834347138263, 0.15081802449083026, -0.04822762133524152, 0.24099735899156408, 0.01781761624792862, -0.05874343480490431, 0.014945009363744455, 0.19830187815064682, 0.07454697906240067, 0.19883418588344998, -0.091767345242721, -0.029238997457572555, 0.12844717091161617] |
708.2447 | Electromagnetic pulse reflection at self-generated plasma mirrors: laser
pulse shaping and high order harmonic generation | A thin layer of overdense plasma is created when an electromagnetic pulse
interacts with a rapidly ionizing thin foil. This layer will reflect the
incoming pulse, forming a so-called plasma mirror. A simple realistic model
based on paired kinetic and wave equations is used to describe analytically the
process of mirror formation and the reflection and transmission of the incident
pulse. The model incorporates the exact description of the ionization process
in the foil and the polarization and conduction currents that follow. The
analytical description of the reflected and transmitted pulses as well as their
dependence on foil parameters, and initial pulse amplitude and form are
presented. Possible application and effectiveness of this process to improve
laser pulse contrast are discussed. In the case of the linearly polarized
incident pulse, there harmonic generation occurs, that is absent in the case of
the circular polarization. The spectra of the reflected pulses for different
initial forms and amplitudes are studied.
| physics.plasm-ph | a thin layer of overdense plasma is created when an electromagnetic pulse interacts with a rapidly ionizing thin foil this layer will reflect the incoming pulse forming a socalled plasma mirror a simple realistic model based on paired kinetic and wave equations is used to describe analytically the process of mirror formation and the reflection and transmission of the incident pulse the model incorporates the exact description of the ionization process in the foil and the polarization and conduction currents that follow the analytical description of the reflected and transmitted pulses as well as their dependence on foil parameters and initial pulse amplitude and form are presented possible application and effectiveness of this process to improve laser pulse contrast are discussed in the case of the linearly polarized incident pulse there harmonic generation occurs that is absent in the case of the circular polarization the spectra of the reflected pulses for different initial forms and amplitudes are studied | [['a', 'thin', 'layer', 'of', 'overdense', 'plasma', 'is', 'created', 'when', 'an', 'electromagnetic', 'pulse', 'interacts', 'with', 'a', 'rapidly', 'ionizing', 'thin', 'foil', 'this', 'layer', 'will', 'reflect', 'the', 'incoming', 'pulse', 'forming', 'a', 'socalled', 'plasma', 'mirror', 'a', 'simple', 'realistic', 'model', 'based', 'on', 'paired', 'kinetic', 'and', 'wave', 'equations', 'is', 'used', 'to', 'describe', 'analytically', 'the', 'process', 'of', 'mirror', 'formation', 'and', 'the', 'reflection', 'and', 'transmission', 'of', 'the', 'incident', 'pulse', 'the', 'model', 'incorporates', 'the', 'exact', 'description', 'of', 'the', 'ionization', 'process', 'in', 'the', 'foil', 'and', 'the', 'polarization', 'and', 'conduction', 'currents', 'that', 'follow', 'the', 'analytical', 'description', 'of', 'the', 'reflected', 'and', 'transmitted', 'pulses', 'as', 'well', 'as', 'their', 'dependence', 'on', 'foil', 'parameters', 'and', 'initial', 'pulse', 'amplitude', 'and', 'form', 'are', 'presented', 'possible', 'application', 'and', 'effectiveness', 'of', 'this', 'process', 'to', 'improve', 'laser', 'pulse', 'contrast', 'are', 'discussed', 'in', 'the', 'case', 'of', 'the', 'linearly', 'polarized', 'incident', 'pulse', 'there', 'harmonic', 'generation', 'occurs', 'that', 'is', 'absent', 'in', 'the', 'case', 'of', 'the', 'circular', 'polarization', 'the', 'spectra', 'of', 'the', 'reflected', 'pulses', 'for', 'different', 'initial', 'forms', 'and', 'amplitudes', 'are', 'studied']] | [-0.11847402390882467, 0.19523068064688542, -0.054082712202769105, 0.05353890544246715, -0.03636783408885232, -0.11054435400056499, 0.000603156519428933, 0.46090263868623144, -0.24821475505404458, -0.2811352260428469, 0.02709876486067837, -0.27197174654162454, -0.0657256767802129, 0.21363254999034578, 0.012373894417682026, 0.030836355100279746, 0.03347562428982339, -0.0232810060334498, -0.003536858339867661, -0.1641009983642003, 0.29697852588223317, 0.07977045702311812, 0.3056980900266031, 0.030254947622837144, 0.1219069494724368, 0.04310125480641764, -0.005319027583810348, -0.05951534794596366, -0.0898112155194247, 0.0667154881381135, 0.18817775618267257, 0.05158601493922451, 0.16199215984302043, -0.49578450074348646, -0.22677917073516152, 0.011211283068773868, 0.13814624021960056, 0.13087052619968884, -0.08816298059205513, -0.23066443738621908, 0.02173034206351053, -0.144876255830632, -0.16603444794655625, 0.025067753597646007, 0.015262836637564852, 0.10876236012341053, -0.2788738720037951, 0.03959495632001494, 0.06286355992263372, -0.014237808364243069, -0.056736211445701276, -0.05252306610404785, -0.09112799630789205, 0.0774318224176119, 0.05920222840927924, 0.04051304469769231, 0.18347600331681757, -0.1578719124147857, -0.03527956725027459, 0.3738465715904095, -0.0674910146516123, -0.1430392350789301, 0.13923908723960335, -0.17560174729368544, -0.0052782967303514105, 0.19388293299258133, 0.16915636199903733, 0.1469677907791979, -0.1006566924327591, 0.014888838774235802, -0.0023758045007744393, 0.19116421134057868, 0.16554078988618912, 0.02530923896009409, 0.2119992758114999, 0.1757188832042503, 0.0009058517038444929, 0.1831147564233198, -0.11075617527831703, -0.05013125346821756, -0.3177627514151833, -0.08735637654052293, -0.14531543812142755, 0.026490889609289574, -0.02137438813491527, -0.17059282173956686, 0.4509023877411132, 0.11646400815276783, 0.14579489372104784, -0.024249322316019877, 0.32802135494384393, 0.1911051877600412, -0.017160185369592205, 0.024496684900095947, 0.25903593196498254, 0.19562960598511692, 0.10975858547648892, -0.2452683513851459, 0.0688401374146578, -0.015575678416386341] |
708.2448 | Aharonov-Bohm-Like Oscillations in Quantum Hall Corrals | Experimental study of quantum Hall corrals reveals Aharonov-Bohm-Like (ABL)
oscillations. Unlike the Aharonov-Bohm effect which has a period of one flux
quantum, $\Phi_{0}$, the ABL oscillations possess a flux period of
$\Phi_{0}/f$, where $f$ is the integer number of fully filled Landau levels in
the constrictions. Detection of the ABL oscillations is limited to the low
magnetic field side of the $\nu_{c}$ = 1, 2, 4, 6... integer quantum Hall
plateaus. These oscillations can be understood within the Coulomb blockade
model of quantum Hall interferometers as forward tunneling and backscattering,
respectively, through the center island of the corral from the bulk and the
edge states. The evidence for quantum interference is weak and circumstantial.
| cond-mat.mes-hall | experimental study of quantum hall corrals reveals aharonovbohmlike abl oscillations unlike the aharonovbohm effect which has a period of one flux quantum phi_0 the abl oscillations possess a flux period of phi_0f where f is the integer number of fully filled landau levels in the constrictions detection of the abl oscillations is limited to the low magnetic field side of the nu_c 1 2 4 6 integer quantum hall plateaus these oscillations can be understood within the coulomb blockade model of quantum hall interferometers as forward tunneling and backscattering respectively through the center island of the corral from the bulk and the edge states the evidence for quantum interference is weak and circumstantial | [['experimental', 'study', 'of', 'quantum', 'hall', 'corrals', 'reveals', 'aharonovbohmlike', 'abl', 'oscillations', 'unlike', 'the', 'aharonovbohm', 'effect', 'which', 'has', 'a', 'period', 'of', 'one', 'flux', 'quantum', 'phi_0', 'the', 'abl', 'oscillations', 'possess', 'a', 'flux', 'period', 'of', 'phi_0f', 'where', 'f', 'is', 'the', 'integer', 'number', 'of', 'fully', 'filled', 'landau', 'levels', 'in', 'the', 'constrictions', 'detection', 'of', 'the', 'abl', 'oscillations', 'is', 'limited', 'to', 'the', 'low', 'magnetic', 'field', 'side', 'of', 'the', 'nu_c', '1', '2', '4', '6', 'integer', 'quantum', 'hall', 'plateaus', 'these', 'oscillations', 'can', 'be', 'understood', 'within', 'the', 'coulomb', 'blockade', 'model', 'of', 'quantum', 'hall', 'interferometers', 'as', 'forward', 'tunneling', 'and', 'backscattering', 'respectively', 'through', 'the', 'center', 'island', 'of', 'the', 'corral', 'from', 'the', 'bulk', 'and', 'the', 'edge', 'states', 'the', 'evidence', 'for', 'quantum', 'interference', 'is', 'weak', 'and', 'circumstantial']] | [-0.24026239679577494, 0.2679387847477171, -0.06480909825352553, 0.06679770778178604, -0.0032222413387249355, -0.18798680354042777, 0.06605164963444363, 0.2849449364002794, -0.26162171322669436, -0.313927336737314, 0.042278568026501616, -0.28360671505132423, -0.13448359024187084, 0.1979251903534792, -0.013156139674330396, 0.029014037252636626, 0.018247770287936355, -0.003148963042934026, -0.020818204164762783, -0.17499713742706394, 0.25830799338083515, 0.025005921221496204, 0.28067435818437453, 0.06787329882250301, 0.05715732752910948, -0.015323014543225457, 0.08002535862189168, 0.052743968260723965, -0.10122953638087243, -0.016349396113842625, 0.21221576012404902, -0.0690844606641414, 0.21273296409136883, -0.4886697972293145, -0.17685233367540473, 0.018069384228770753, 0.14011340222454496, 0.13908137851207616, -0.017338736315390894, -0.30885155750521726, 0.026958103008967425, -0.1362464954810483, -0.09141270279984123, 0.015769958209213137, 0.03956079782489853, -0.06843497115395232, -0.23874738823880243, 0.13521029798513545, 0.05328447453211993, 0.07975057386543735, -0.032790070898564797, -0.11449799900200171, -0.03531089487868095, 0.09283581470247425, -0.014848072922697091, 0.02707026681413741, 0.15318951172438183, -0.15365904226200655, -0.2018039170694205, 0.3160078576183878, -0.0554022927681217, -0.11054138416823532, 0.13093137636730848, -0.25262445657946436, -0.039971220111640705, 0.17849662445951253, 0.06912116586162094, 0.02903821124138111, -0.035925738604938875, 0.0983233811948594, -0.055142962357162366, 0.13437260661781433, 0.069230749232312, 0.08639516977460257, 0.3010212941589998, 0.13905852329584636, 0.07568066989603851, 0.10729496025825418, -0.2194503453876158, -0.0716280680935597, -0.3010514251821275, -0.15174637447177833, -0.20581766994187742, 0.14130973247145967, -0.0077991393997893154, -0.21722997576996153, 0.4022905485422338, 0.11570896790778663, 0.1596484580035654, -0.05595772807490513, 0.28263687909514246, 0.1871682567652897, 0.06318123744988823, 0.027117391644943773, 0.2546563860960305, 0.20638819952312457, 0.10448625328717753, -0.3325223218728622, 0.004129714966568697, -0.004401131208786475] |
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