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707.283 | Characterization of thermalized Fermi-Pasta-Ulam chains | The Fermi-Pasta-Ulam (FPU) chains of particles in \textit{thermal
equilibrium} are studied from both wave-interaction and particle-interaction
points of view. It is shown that, even in a strongly nonlinear regime, the
chain in thermal equilibrium can be effectively described by a system of weakly
interacting \textit{renormalized} nonlinear waves. These waves possess (i) the
Rayleigh-Jeans distribution and (ii) zero correlations between waves, just as
noninteracting free waves would. This renormalization is achieved through a set
of canonical transformations. The renormalized linear dispersion of these
renormalized waves is obtained and shown to be in excellent agreement with
numerical experiments. Moreover, a dynamical interpretation of the
renormalization of the dispersion relation is provided via a self-consistency,
mean-field argument. It turns out that this renormalization arises mainly from
the trivial resonant wave interactions, i.e., interactions with no momentum
exchange. Furthermore, using a multiple time-scale, statistical averaging
method, we show that the interactions of near-resonant waves give rise to the
broadening of the resonance peaks in the frequency spectrum of renormalized
modes. The theoretical prediction for the resonance width for the thermalized
$\beta$-FPU chain is found to be in very good agreement with its numerically
measured value. Moreover, we show that the dynamical scenario for thermalized
$\beta$-FPU chains is spatially highly localized discrete breathers riding
chaotically on spatially extended, renormalized waves. We present numerical
evidence of existence of discrete breathers in thermal equilibrium.
| math-ph math.DS math.MP | the fermipastaulam fpu chains of particles in textitthermal equilibrium are studied from both waveinteraction and particleinteraction points of view it is shown that even in a strongly nonlinear regime the chain in thermal equilibrium can be effectively described by a system of weakly interacting textitrenormalized nonlinear waves these waves possess i the rayleighjeans distribution and ii zero correlations between waves just as noninteracting free waves would this renormalization is achieved through a set of canonical transformations the renormalized linear dispersion of these renormalized waves is obtained and shown to be in excellent agreement with numerical experiments moreover a dynamical interpretation of the renormalization of the dispersion relation is provided via a selfconsistency meanfield argument it turns out that this renormalization arises mainly from the trivial resonant wave interactions ie interactions with no momentum exchange furthermore using a multiple timescale statistical averaging method we show that the interactions of nearresonant waves give rise to the broadening of the resonance peaks in the frequency spectrum of renormalized modes the theoretical prediction for the resonance width for the thermalized betafpu chain is found to be in very good agreement with its numerically measured value moreover we show that the dynamical scenario for thermalized betafpu chains is spatially highly localized discrete breathers riding chaotically on spatially extended renormalized waves we present numerical evidence of existence of discrete breathers in thermal equilibrium | [['the', 'fermipastaulam', 'fpu', 'chains', 'of', 'particles', 'in', 'textitthermal', 'equilibrium', 'are', 'studied', 'from', 'both', 'waveinteraction', 'and', 'particleinteraction', 'points', 'of', 'view', 'it', 'is', 'shown', 'that', 'even', 'in', 'a', 'strongly', 'nonlinear', 'regime', 'the', 'chain', 'in', 'thermal', 'equilibrium', 'can', 'be', 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707.2831 | Estimating Jones polynomials is a complete problem for one clean qubit | It is known that evaluating a certain approximation to the Jones polynomial
for the plat closure of a braid is a BQP-complete problem. That is, this
problem exactly captures the power of the quantum circuit model. The one clean
qubit model is a model of quantum computation in which all but one qubit starts
in the maximally mixed state. One clean qubit computers are believed to be
strictly weaker than standard quantum computers, but still capable of solving
some classically intractable problems. Here we show that evaluating a certain
approximation to the Jones polynomial at a fifth root of unity for the trace
closure of a braid is a complete problem for the one clean qubit complexity
class. That is, a one clean qubit computer can approximate these Jones
polynomials in time polynomial in both the number of strands and number of
crossings, and the problem of simulating a one clean qubit computer is
reducible to approximating the Jones polynomial of the trace closure of a
braid.
| quant-ph math.GT | it is known that evaluating a certain approximation to the jones polynomial for the plat closure of a braid is a bqpcomplete problem that is this problem exactly captures the power of the quantum circuit model the one clean qubit model is a model of quantum computation in which all but one qubit starts in the maximally mixed state one clean qubit computers are believed to be strictly weaker than standard quantum computers but still capable of solving some classically intractable problems here we show that evaluating a certain approximation to the jones polynomial at a fifth root of unity for the trace closure of a braid is a complete problem for the one clean qubit complexity class that is a one clean qubit computer can approximate these jones polynomials in time polynomial in both the number of strands and number of crossings and the problem of simulating a one clean qubit computer is reducible to approximating the jones polynomial of the trace closure of a braid | [['it', 'is', 'known', 'that', 'evaluating', 'a', 'certain', 'approximation', 'to', 'the', 'jones', 'polynomial', 'for', 'the', 'plat', 'closure', 'of', 'a', 'braid', 'is', 'a', 'bqpcomplete', 'problem', 'that', 'is', 'this', 'problem', 'exactly', 'captures', 'the', 'power', 'of', 'the', 'quantum', 'circuit', 'model', 'the', 'one', 'clean', 'qubit', 'model', 'is', 'a', 'model', 'of', 'quantum', 'computation', 'in', 'which', 'all', 'but', 'one', 'qubit', 'starts', 'in', 'the', 'maximally', 'mixed', 'state', 'one', 'clean', 'qubit', 'computers', 'are', 'believed', 'to', 'be', 'strictly', 'weaker', 'than', 'standard', 'quantum', 'computers', 'but', 'still', 'capable', 'of', 'solving', 'some', 'classically', 'intractable', 'problems', 'here', 'we', 'show', 'that', 'evaluating', 'a', 'certain', 'approximation', 'to', 'the', 'jones', 'polynomial', 'at', 'a', 'fifth', 'root', 'of', 'unity', 'for', 'the', 'trace', 'closure', 'of', 'a', 'braid', 'is', 'a', 'complete', 'problem', 'for', 'the', 'one', 'clean', 'qubit', 'complexity', 'class', 'that', 'is', 'a', 'one', 'clean', 'qubit', 'computer', 'can', 'approximate', 'these', 'jones', 'polynomials', 'in', 'time', 'polynomial', 'in', 'both', 'the', 'number', 'of', 'strands', 'and', 'number', 'of', 'crossings', 'and', 'the', 'problem', 'of', 'simulating', 'a', 'one', 'clean', 'qubit', 'computer', 'is', 'reducible', 'to', 'approximating', 'the', 'jones', 'polynomial', 'of', 'the', 'trace', 'closure', 'of', 'a', 'braid']] | [-0.16122942243027918, 0.12527501367277907, -0.06874722021235945, 0.08093894480638385, -0.05460591318398089, -0.22586223143180775, 0.006406598709960061, 0.2897079768981004, -0.3346250911806515, -0.2700325023315981, 0.07938613974444657, -0.2399851605909581, -0.1325103775570225, 0.26096235041250054, -0.05277328872979998, 0.08778940171315641, 0.07620063577471914, 0.08410694863100698, -0.08736017633865248, -0.305145950017575, 0.26295588157992966, -0.0010952655341710427, 0.20982163469446544, 0.0013741928844260955, 0.09423542093390788, -0.04275642830911957, 0.04162168717844841, 0.0061720268254330055, -0.04443401986719834, 0.1139862376901678, 0.2851480540267365, 0.11513622588070924, 0.2503841790833516, -0.4120946348628063, -0.13704929213056308, 0.17245890415471582, 0.12520113005442265, 0.13978116396008738, 0.02164385871526724, -0.23274690070061269, 0.09380704439440352, -0.17515262352124214, -0.11683945563025103, -0.02784956361496163, 0.03546538340585853, -0.06969719328136814, -0.24729494776152922, 0.025904073469162344, 0.08757807229210561, 0.04824846394605444, 0.04290932405204652, -0.05856061937785178, 0.05794345254279271, 0.09859433879484673, -0.07264615480249893, 0.03471052039952804, 0.10888822907080015, -0.19176270669844828, -0.1355848398204603, 0.3955264588996411, -0.00305880200367736, -0.23525713785679755, 0.15378620395224965, -0.13162477813315338, -0.14738087734893454, 0.1311616625045677, 0.06068150626640477, 0.1041945535801128, -0.11140870132266048, 0.1315517265588034, -0.12561746481192593, 0.16794138218270627, 0.05257845141584734, -0.004123030888463209, 0.15234535358968876, 0.12013135431892054, 0.11436545968747246, 0.1885128850333426, -0.018632140487410173, -0.13704100340426326, -0.293315290205716, -0.2327661054253489, -0.24553300121389218, 0.07885306353700308, -0.08773365074717775, -0.21698805243669156, 0.44230382808088187, 0.11315610588522639, 0.12238829408376338, 0.11684329153671526, 0.3117524544725161, 0.14787931740841645, 0.05451408251116197, 0.08539379117898867, 0.16712394689051518, 0.15777833378332817, 0.01846588700786679, -0.2333161407484935, 0.08373765168086944, 0.12476141977229875] |
707.2832 | Relative States and the Environment: Einselection, Envariance, Quantum
Darwinism, and the Existential Interpretation | Starting with basic axioms of quantum theory I revisit "Relative State
Interpretation'' set out 50 years ago by Hugh Everett.
| quant-ph | starting with basic axioms of quantum theory i revisit relative state interpretation set out 50 years ago by hugh everett | [['starting', 'with', 'basic', 'axioms', 'of', 'quantum', 'theory', 'i', 'revisit', 'relative', 'state', 'interpretation', 'set', 'out', '50', 'years', 'ago', 'by', 'hugh', 'everett']] | [-0.03162622700911015, 0.1379627471906133, -0.09305228907614946, 0.05943784755654633, -0.045144188962876794, -0.2012518578674644, 0.12125102277495899, 0.2200058669783175, -0.2479760733898729, -0.34668050752952695, 0.028953068441478536, -0.28239064533263447, -0.07961728535592556, 0.11840531546622515, -0.13542775241658092, 0.01768983546644449, 0.12297953795641661, 0.014617231767624616, -0.06324520308990031, -0.30275864228606225, 0.29779548293445257, 0.0768789904366713, 0.22264933232218026, -0.05529396338388324, 0.12102133906446397, 0.057065463601611556, -0.08684672741219401, 0.014138593524694442, -0.17990419594570994, 0.09417884536087513, 0.22470235973596572, 0.2966704711318016, 0.3340361604467034, -0.49012767150998116, -0.1934943630360067, -0.016171777457930147, 0.02364265958312899, 0.10372456913319184, 0.09336037579923868, -0.3331462184432894, 0.04208966470323503, -0.2518634617328644, -0.19005815982818602, -0.06987618716084398, 0.1889569392427802, -0.12800040608271956, -0.03239295398816466, 0.07111938293091953, 0.05002116416762874, 0.1889768721535802, 0.010063691111281515, -0.17606672290712594, 0.12386085005709901, -0.04379624398425221, -0.008708731428487226, 0.054906406067311765, 0.11464014425873756, -0.07267751982435584, -0.28174258172512057, 0.32268311572261155, -0.026759579995450623, 0.022734434949234127, 0.1299227496725507, -0.079497464094311, -0.13656712495721876, 0.09010612862184644, -0.062497663078829646, 0.0758515115827322, -0.16282485127449037, 0.13589566918089985, -0.12910376382060348, 0.09654763396829366, 0.18552686586044728, 0.0664621252566576, 0.3027415880933404, 0.10308012310415507, -0.06254958063364029, 0.02569595668464899, 0.011502959299832582, -0.2873037301469594, -0.3625713389366865, -0.15374645492993294, -0.1032170807942748, 0.22905562072992325, 0.016847248282283546, -0.04279250223189592, 0.3167632748663891, 0.17256758795119823, 0.12627899176441132, -0.00104158204048872, 0.17200447125360369, 0.06394692290996318, -0.0019511722028255462, 0.032520768232643604, 0.2578728437889367, 0.2695566419628449, 0.0956773666664958, -0.04354813443496823, 0.021953910239972174, 0.15224838466383517] |
707.2833 | A Comparative Study between Two Three-DOF Parallel Kinematic Machines
using Kinetostatic Criteria and Interval Analysis | This paper addresses the workspace analysis of two 3-DOF translational
parallel mechanisms designed for machining applications. The two machines
features three fixed linear joints. The joint axes of the first machine are
orthogonal whereas these of the second are parallel. In both cases, the mobile
platform moves in the Cartesian $x-y-z$ space with fixed orientation. The
workspace analysis is conducted on the basis of prescribed kinetostatic
performances. Interval analysis based methods are used to compute the dextrous
workspace and the largest cube enclosed in this workspace.
| cs.RO | this paper addresses the workspace analysis of two 3dof translational parallel mechanisms designed for machining applications the two machines features three fixed linear joints the joint axes of the first machine are orthogonal whereas these of the second are parallel in both cases the mobile platform moves in the cartesian xyz space with fixed orientation the workspace analysis is conducted on the basis of prescribed kinetostatic performances interval analysis based methods are used to compute the dextrous workspace and the largest cube enclosed in this workspace | [['this', 'paper', 'addresses', 'the', 'workspace', 'analysis', 'of', 'two', '3dof', 'translational', 'parallel', 'mechanisms', 'designed', 'for', 'machining', 'applications', 'the', 'two', 'machines', 'features', 'three', 'fixed', 'linear', 'joints', 'the', 'joint', 'axes', 'of', 'the', 'first', 'machine', 'are', 'orthogonal', 'whereas', 'these', 'of', 'the', 'second', 'are', 'parallel', 'in', 'both', 'cases', 'the', 'mobile', 'platform', 'moves', 'in', 'the', 'cartesian', 'xyz', 'space', 'with', 'fixed', 'orientation', 'the', 'workspace', 'analysis', 'is', 'conducted', 'on', 'the', 'basis', 'of', 'prescribed', 'kinetostatic', 'performances', 'interval', 'analysis', 'based', 'methods', 'are', 'used', 'to', 'compute', 'the', 'dextrous', 'workspace', 'and', 'the', 'largest', 'cube', 'enclosed', 'in', 'this', 'workspace']] | [-0.20084669828945553, 0.03662837179767531, -0.03129953037687512, -0.0373230449825547, -0.09628629759712101, -0.13422359840749482, -0.030117112524580037, 0.4276970453711963, -0.2513383412571234, -0.2996086358352629, 0.12899334164103493, -0.24799338484529493, -0.08329783678921156, 0.17054037245391154, -0.04982530626706606, 0.13571825473475255, 0.08037666263340344, 0.030114015585981136, -0.05679336236519089, -0.25707853648291773, 0.2882975331659234, -0.023860351388277704, 0.3451243442764809, -0.0346250569577827, 0.123068836566364, 0.047498833750872764, -0.04783407642051231, 0.01408182820259119, -0.13376835696832384, 0.17890137968365602, 0.23928778036497533, 0.1251198194818138, 0.2581859613920367, -0.4092442452864245, -0.08999759101222247, 0.08022149886968437, 0.162383608097687, 0.021399027386377025, 0.03662975563878887, -0.2580407015860167, 0.08138623950883833, -0.0907895922021897, -0.11066648385725743, -0.059086060909511046, -0.012733511978673727, 0.055397446700480094, -0.19779304386289834, -0.030265333713032305, 0.059349383541577774, 0.144298302702779, -0.07451034781284803, -0.11611154443735994, -0.006240448963200283, 0.18135226589930786, 0.02102460831587831, 0.0032631076146783524, 0.1545610899203132, -0.06096204427114233, -0.17452229852896445, 0.43055162405551867, 0.03877886704190872, -0.28939752931554996, 0.1780078456883297, -0.10471344168492874, -0.1363205638806184, 0.08843166535980133, 0.22549120321609947, 0.12582236065476493, -0.1552398944988327, 0.08816052329872713, -0.02570438826846522, 0.13704229185227737, 0.0804824115502713, -0.0437656291083671, 0.1818119207678666, 0.1815036017187806, 0.07120914189185579, 0.16589523411659135, -0.11588691154408247, -0.1394962311159213, -0.3240694194642264, -0.17703476946714314, -0.20951927259434447, -0.10988548279030595, -0.12179929059155171, -0.1628500598721033, 0.38891486766704814, 0.11688409358003111, 0.1797932223850038, 0.05254991591886379, 0.3802558557931767, 0.007515549009969068, 0.06002894687184761, 0.120186269269758, 0.20771755403730757, 0.05810152957768201, 0.10922758011851287, -0.21239633834683933, 0.05237679842989459, 0.07883439776162769] |
707.2834 | Poincar\'e inequality for non euclidean metrics and transportation cost
inequalities on $\mathbb{R}^d$ | In this paper, we consider Poincar\'e inequalities for non euclidean metrics
on $\mathbb{R}^d$. These inequalities enable us to derive precise dimension
free concentration inequalities for product measures. This technique is
appropriate for a large scope of concentration rate: between exponential and
gaussian and beyond. We give different equivalent functional forms of these
Poincar\'e type inequalities in terms of transportation-cost inequalities and
infimum convolution inequalities. Workable sufficient conditions are given and
a comparison is made with generalized Beckner-Latala-Oleszkiewicz inequalities.
| math.PR | in this paper we consider poincare inequalities for non euclidean metrics on mathbbrd these inequalities enable us to derive precise dimension free concentration inequalities for product measures this technique is appropriate for a large scope of concentration rate between exponential and gaussian and beyond we give different equivalent functional forms of these poincare type inequalities in terms of transportationcost inequalities and infimum convolution inequalities workable sufficient conditions are given and a comparison is made with generalized becknerlatalaoleszkiewicz inequalities | [['in', 'this', 'paper', 'we', 'consider', 'poincare', 'inequalities', 'for', 'non', 'euclidean', 'metrics', 'on', 'mathbbrd', 'these', 'inequalities', 'enable', 'us', 'to', 'derive', 'precise', 'dimension', 'free', 'concentration', 'inequalities', 'for', 'product', 'measures', 'this', 'technique', 'is', 'appropriate', 'for', 'a', 'large', 'scope', 'of', 'concentration', 'rate', 'between', 'exponential', 'and', 'gaussian', 'and', 'beyond', 'we', 'give', 'different', 'equivalent', 'functional', 'forms', 'of', 'these', 'poincare', 'type', 'inequalities', 'in', 'terms', 'of', 'transportationcost', 'inequalities', 'and', 'infimum', 'convolution', 'inequalities', 'workable', 'sufficient', 'conditions', 'are', 'given', 'and', 'a', 'comparison', 'is', 'made', 'with', 'generalized', 'becknerlatalaoleszkiewicz', 'inequalities']] | [-0.0647361579822836, 0.0632519737617778, -0.0638665659836941, 0.14815544356386384, -0.05347473216968794, -0.21668123002708345, 0.042703415323109305, 0.31274645780394605, -0.26180197469370026, -0.25162064197606276, 0.13440784515341284, -0.26191199676121596, -0.13854234996433187, 0.24883762382079738, -0.12399726651318661, 0.114659760498091, 0.023277070687769297, 0.029482198044560946, -0.15856096614152193, -0.26898862300863996, 0.35742238583647973, -0.03389050377088345, 0.2556125918318602, 0.11331063608771988, 0.08459056752987883, 0.03838649707583275, -0.052302222919662474, 0.015817207882979085, -0.2871336065377895, 0.24215519838579386, 0.2486115100384575, 0.1634982162572492, 0.28354772620580415, -0.4301090971022457, -0.15610703050050062, 0.19172225718374375, 0.09890144577177314, 0.011719985913436908, -0.011355566352230872, -0.306047511952264, 0.005383126889718334, -0.11144009121246153, -0.20297702430904685, -0.13105161794062173, 0.018165806380959302, 0.07453919978594625, -0.3503167218008599, 0.16443871896995182, 0.059056225269065274, 0.06830270710407285, -0.08570421496164296, -0.07293329924925582, 0.1086436064925964, 0.06118190063423683, -0.0031471451065599823, -0.03320185234770179, 0.0944357215027724, 0.003110170779392946, -0.10626095743825684, 0.25623734660035413, -0.0445723928051529, -0.3062939251978676, 0.16410570577174038, -0.16022723726928234, -0.17933983285004249, 0.044635306699080515, 0.17791774120278558, 0.13149886604930675, -0.18465968248035228, 0.13780437434975107, -0.052131436196724314, 0.0793821332589179, 0.138327433467637, 0.11205894663300994, 0.054974299782959674, 0.028429675968242932, 0.17663716974172305, 0.18333782578588692, 0.0002587155783669902, -0.10596121201751293, -0.39213506076726823, -0.24805096904565763, -0.15133802883036726, 0.10227941407205222, -0.20940620522846334, -0.1504966494772438, 0.3141790959113217, 0.028393436168840568, 0.12312486406125418, 0.13147011971367256, 0.156800723235522, 0.14604106283211452, 0.06894425358381365, 0.025643021139212695, 0.1857557472978513, 0.22746340079571714, 0.06824321624544727, -0.06929014610465277, 0.07826052144677802, 0.1749478320639532] |
707.2835 | Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach | We describe the general setting for the optical Aharonov-Bohm effect based on
the inverse problem of the identification of the coefficients of the governing
hyperbolic equation by the boundary measurements. We interpret the inverse
problem result as a possibility in principle to detect the optical
Aharonov-Bohm effect by the boundary measurements.
| math-ph math.AP math.MP | we describe the general setting for the optical aharonovbohm effect based on the inverse problem of the identification of the coefficients of the governing hyperbolic equation by the boundary measurements we interpret the inverse problem result as a possibility in principle to detect the optical aharonovbohm effect by the boundary measurements | [['we', 'describe', 'the', 'general', 'setting', 'for', 'the', 'optical', 'aharonovbohm', 'effect', 'based', 'on', 'the', 'inverse', 'problem', 'of', 'the', 'identification', 'of', 'the', 'coefficients', 'of', 'the', 'governing', 'hyperbolic', 'equation', 'by', 'the', 'boundary', 'measurements', 'we', 'interpret', 'the', 'inverse', 'problem', 'result', 'as', 'a', 'possibility', 'in', 'principle', 'to', 'detect', 'the', 'optical', 'aharonovbohm', 'effect', 'by', 'the', 'boundary', 'measurements']] | [-0.13192996648927768, 0.08440866967772737, -0.08135439773254535, 0.06293697991207534, -0.11834106923026197, -0.07516843463093334, 0.03150991313889915, 0.3035110848791459, -0.31991200674982634, -0.2987896182811728, 0.12854916480707698, -0.261968792872686, -0.19413227244627243, 0.22446788358045558, -0.02784081796805064, 0.09680862403383442, 0.0379482764823764, 0.013174534939667758, -0.08037485094631419, -0.1452594141603685, 0.3728865579354997, 0.021878795301103416, 0.2776702630753611, 0.0833340061499792, 0.10964304541109823, 0.06684832268522359, -0.05882694685429919, 0.03649640017572571, -0.14903296246284656, 0.09437960668868732, 0.1864001331668274, -0.004737180456811306, 0.21803878121278888, -0.4363842318747558, -0.22048650061090788, 0.10012636356530528, 0.08717692800450559, 0.12986558138885917, -0.0218723366406801, -0.3099864061520088, 0.026546899923214726, -0.08364490209622126, -0.1816913001421912, 0.03717419987215715, 0.017550253921060587, -0.0438811002737459, -0.26232058726543306, 0.12295169449027847, 0.06880302690699988, 0.04435933226098617, -0.15242826571578488, -0.030335748319368007, 0.08453551482628374, 0.08664120383122388, 0.015970029009907852, -0.05577040626210909, 0.10921416407925826, -0.11736047297131781, -0.15168803356880067, 0.3916402436500671, -0.08717526115166645, -0.22310501570795097, 0.09115978602922577, -0.14462770322593405, -0.06879479125799502, 0.0733147973158196, 0.1822186654031861, 0.1326935014176164, -0.14808612148843558, 0.08859790576731458, -0.09147582074864676, 0.09612878643925868, 0.03530062022436337, 0.01701313639447714, 0.1780608724437508, 0.1276512245405648, 0.08171407885703386, 0.18820674516552804, -0.11994640595352679, -0.035207362297703236, -0.3248318022518766, -0.16085869541355208, -0.17392645175020924, 0.09375176688327509, -0.06765140287176359, -0.17601293002200477, 0.3689524624861923, 0.1865679470493513, 0.189362527839109, -0.020143726274517236, 0.30673632571729376, 0.1940439006521403, 0.04705633292449456, -0.017333496416754583, 0.2872266339905122, 0.19647006101577597, 0.1304572101627641, -0.35867230258151594, 0.050809597934358845, 0.12271794799130921] |
707.2836 | Multimedia Capacity Analysis of the IEEE 802.11e Contention-based
Infrastructure Basic Service Set | We first propose a simple mathematical analysis framework for the Enhanced
Distributed Channel Access (EDCA) function of the recently ratified IEEE
802.11e standard. Our analysis considers the fact that the distributed random
access systems exhibit cyclic behavior. The proposed model is valid for
arbitrary assignments of AC-specific Arbitration Interframe Space (AIFS) values
and Contention Window (CW) sizes and is the first that considers an arbitrary
distribution of active Access Categories (ACs) at the stations. Validating the
theoretical results via extensive simulations, we show that the proposed
analysis accurately captures the EDCA saturation performance. Next, we propose
a framework for multimedia capacity analysis of the EDCA function. We calculate
an accurate station- and AC-specific queue utilization ratio by appropriately
weighing the service time predictions of the cycle time model for different
number of active stations. Based on the calculated queue utilization ratio, we
design a simple model-based admission control scheme. We show that the proposed
call admission control algorithm maintains satisfactory user-perceived quality
for coexisting voice and video connections in an infrastructure BSS and does
not present over- or under-admission problems of previously proposed models in
the literature.
| cs.IT cs.MM math.IT | we first propose a simple mathematical analysis framework for the enhanced distributed channel access edca function of the recently ratified ieee 80211e standard our analysis considers the fact that the distributed random access systems exhibit cyclic behavior the proposed model is valid for arbitrary assignments of acspecific arbitration interframe space aifs values and contention window cw sizes and is the first that considers an arbitrary distribution of active access categories acs at the stations validating the theoretical results via extensive simulations we show that the proposed analysis accurately captures the edca saturation performance next we propose a framework for multimedia capacity analysis of the edca function we calculate an accurate station and acspecific queue utilization ratio by appropriately weighing the service time predictions of the cycle time model for different number of active stations based on the calculated queue utilization ratio we design a simple modelbased admission control scheme we show that the proposed call admission control algorithm maintains satisfactory userperceived quality for coexisting voice and video connections in an infrastructure bss and does not present over or underadmission problems of previously proposed models in the literature | [['we', 'first', 'propose', 'a', 'simple', 'mathematical', 'analysis', 'framework', 'for', 'the', 'enhanced', 'distributed', 'channel', 'access', 'edca', 'function', 'of', 'the', 'recently', 'ratified', 'ieee', '80211e', 'standard', 'our', 'analysis', 'considers', 'the', 'fact', 'that', 'the', 'distributed', 'random', 'access', 'systems', 'exhibit', 'cyclic', 'behavior', 'the', 'proposed', 'model', 'is', 'valid', 'for', 'arbitrary', 'assignments', 'of', 'acspecific', 'arbitration', 'interframe', 'space', 'aifs', 'values', 'and', 'contention', 'window', 'cw', 'sizes', 'and', 'is', 'the', 'first', 'that', 'considers', 'an', 'arbitrary', 'distribution', 'of', 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707.2837 | Solutions for certain classes of Riccati differential equation | We derive some analytic closed-form solutions for a class of Riccati equation
y'(x)-\lambda_0(x)y(x)\pm y^2(x)=\pm s_0(x), where \lambda_0(x), s_0(x) are
C^{\infty}-functions. We show that if \delta_n=\lambda_n
s_{n-1}-\lambda_{n-1}s_n=0, where \lambda_{n}=
\lambda_{n-1}^\prime+s_{n-1}+\lambda_0\lambda_{n-1} and
s_{n}=s_{n-1}^\prime+s_0\lambda_{k-1}, n=1,2,..., then The Riccati equation has
a solution given by y(x)=\mp s_{n-1}(x)/\lambda_{n-1}(x). Extension to the
generalized Riccati equation y'(x)+P(x)y(x)+Q(x)y^2(x)=R(x) is also
investigated.
| math-ph math.MP | we derive some analytic closedform solutions for a class of riccati equation yxlambda_0xyxpm y2xpm s_0x where lambda_0x s_0x are cinftyfunctions we show that if delta_nlambda_n s_n1lambda_n1s_n0 where lambda_n lambda_n1primes_n1lambda_0lambda_n1 and s_ns_n1primes_0lambda_k1 n12 then the riccati equation has a solution given by yxmp s_n1xlambda_n1x extension to the generalized riccati equation yxpxyxqxy2xrx is also investigated | [['we', 'derive', 'some', 'analytic', 'closedform', 'solutions', 'for', 'a', 'class', 'of', 'riccati', 'equation', 'yxlambda_0xyxpm', 'y2xpm', 's_0x', 'where', 'lambda_0x', 's_0x', 'are', 'cinftyfunctions', 'we', 'show', 'that', 'if', 'delta_nlambda_n', 's_n1lambda_n1s_n0', 'where', 'lambda_n', 'lambda_n1primes_n1lambda_0lambda_n1', 'and', 's_ns_n1primes_0lambda_k1', 'n12', 'then', 'the', 'riccati', 'equation', 'has', 'a', 'solution', 'given', 'by', 'yxmp', 's_n1xlambda_n1x', 'extension', 'to', 'the', 'generalized', 'riccati', 'equation', 'yxpxyxqxy2xrx', 'is', 'also', 'investigated']] | [-0.14516302934566208, -0.0034440690868122632, -0.07386083194856034, 0.05274782974413748, -0.14178509176383877, -0.22461182465993387, -0.020531456755084353, 0.295112194103557, -0.3085041623941601, -0.16639506004664095, 0.16636620301125182, -0.30276192289365583, -0.23576028103571992, 0.18725166595974113, -0.018823633874701554, 0.040147343986169544, 0.06587627605903287, 0.09055974020427743, -0.10295326149275223, -0.2250504766612552, 0.34637054090583047, -0.11936156972863733, 0.16316248907512704, 0.0013892384310967701, 0.22082097759080488, -0.06600330213388038, 0.09007394831454338, -0.022666249380901803, -0.2559676093198589, 3.434711157582527e-05, 0.27045886539096053, 0.11785859207427779, 0.2758392631942623, -0.37283723465665136, -0.15265193974685876, 0.1495931363383005, 0.22139689786532937, 0.08130237875982772, -0.08210046017585798, -0.28747155248772266, 0.14040248005022837, -0.1520964476431525, -0.20906301664708313, -0.0651593211236908, 0.06180937259003173, 0.10443126239142446, -0.34490926594061905, 0.07854985490341151, 0.02460009336125019, -0.05532058462673842, -0.11142709106206894, -0.12374910788047452, -0.020633164143493008, -0.042809435415493195, 0.031203461567286487, -0.029644560610312364, -0.02692651235346877, -0.07670871504084316, -0.030260617703979097, 0.3369906268320804, -0.07581165887761948, -0.3701840115407872, 0.019278388535387294, -0.12503242838131481, -0.16918420446170276, 0.090470097287623, 0.09374389254899565, 0.1628324136484501, -0.21608822184160006, 0.20453428574377497, -0.10587714848563422, 0.13873648786440837, 0.08092625704485663, -0.03364767555450631, 0.007193787543233051, 0.08997903659203371, 0.08590768033172935, 0.13584824656894387, 0.055228613793503405, -0.15232040555497936, -0.32627550651167714, -0.17921402794850427, -0.1351007996993356, 0.15983812378849402, -0.13975479954083417, -0.1342266368961265, 0.3391968326339888, 0.10733801973333885, 0.1292911253458019, 0.11601467198843873, 0.19497368043981667, 0.2972334393754948, -0.07032896062835704, 0.13557124559139444, 0.13911061863168575, 0.195571793243289, 0.04687387468076722, -0.20300350052326224, 0.018962299673233266, 0.20352489163362703] |
707.2838 | A solution to B --> pi pi puzzle and B --> K K | The large ratio of color-suppressed tree amplitude to color-allowed one in $B
\to \pi \pi$ decays is difficult to understand within the Standard Model, which
is known as the "$B \to \pi\pi$ puzzle". The two tree diagrams contain the up-
and charm-quark component of penguin amplitude, $P_{uc}$, which cannot be
separated by measuring $B \to \pi \pi$ decays alone. We show that the
measurements of the branching ratio and direct CP asymmetry of $B^+ \to K^+
\bar{K^0}$ decay enable one to disentangle the $P_{uc}$ with two-fold
ambiguity. One of the two degenerate solutions of the $P_{uc}$ can solve the $B
\to \pi \pi$ puzzle by giving $|C/T|\sim 0.3$ which is consistent with the
expectation in the Standard Model. We also show that the two solutions can be
discriminated by the measurement of the indirect CP-asymmetry of $B^0 \to K^0
\ol{K^0}$. We point out that if the $B \to \pi \pi$ puzzle is solved in this
way, the corresponding puzzle in $B \to \pi K$ decays should have a different
origin.
| hep-ph | the large ratio of colorsuppressed tree amplitude to colorallowed one in b to pi pi decays is difficult to understand within the standard model which is known as the b to pipi puzzle the two tree diagrams contain the up and charmquark component of penguin amplitude p_uc which cannot be separated by measuring b to pi pi decays alone we show that the measurements of the branching ratio and direct cp asymmetry of b to k bark0 decay enable one to disentangle the p_uc with twofold ambiguity one of the two degenerate solutions of the p_uc can solve the b to pi pi puzzle by giving ctsim 03 which is consistent with the expectation in the standard model we also show that the two solutions can be discriminated by the measurement of the indirect cpasymmetry of b0 to k0 olk0 we point out that if the b to pi pi puzzle is solved in this way the corresponding puzzle in b to pi k decays should have a different origin | [['the', 'large', 'ratio', 'of', 'colorsuppressed', 'tree', 'amplitude', 'to', 'colorallowed', 'one', 'in', 'b', 'to', 'pi', 'pi', 'decays', 'is', 'difficult', 'to', 'understand', 'within', 'the', 'standard', 'model', 'which', 'is', 'known', 'as', 'the', 'b', 'to', 'pipi', 'puzzle', 'the', 'two', 'tree', 'diagrams', 'contain', 'the', 'up', 'and', 'charmquark', 'component', 'of', 'penguin', 'amplitude', 'p_uc', 'which', 'can', 'not', 'be', 'separated', 'by', 'measuring', 'b', 'to', 'pi', 'pi', 'decays', 'alone', 'we', 'show', 'that', 'the', 'measurements', 'of', 'the', 'branching', 'ratio', 'and', 'direct', 'cp', 'asymmetry', 'of', 'b', 'to', 'k', 'bark0', 'decay', 'enable', 'one', 'to', 'disentangle', 'the', 'p_uc', 'with', 'twofold', 'ambiguity', 'one', 'of', 'the', 'two', 'degenerate', 'solutions', 'of', 'the', 'p_uc', 'can', 'solve', 'the', 'b', 'to', 'pi', 'pi', 'puzzle', 'by', 'giving', 'ctsim', '03', 'which', 'is', 'consistent', 'with', 'the', 'expectation', 'in', 'the', 'standard', 'model', 'we', 'also', 'show', 'that', 'the', 'two', 'solutions', 'can', 'be', 'discriminated', 'by', 'the', 'measurement', 'of', 'the', 'indirect', 'cpasymmetry', 'of', 'b0', 'to', 'k0', 'olk0', 'we', 'point', 'out', 'that', 'if', 'the', 'b', 'to', 'pi', 'pi', 'puzzle', 'is', 'solved', 'in', 'this', 'way', 'the', 'corresponding', 'puzzle', 'in', 'b', 'to', 'pi', 'k', 'decays', 'should', 'have', 'a', 'different', 'origin']] | [-0.12314775078481659, 0.20365532418814924, -0.09976774964415462, 0.07050516458501015, -0.08699190258682216, -0.16889580647659505, 0.10245260990503073, 0.2840041102422677, -0.3315156144138216, -0.2765474211226201, 0.02333246679706554, -0.32262479948408945, -0.05169655550161057, 0.10779538743760018, 0.03925110295431457, 0.03140580719722622, 0.05408849392207505, 0.04378142095165404, -0.03521625274246746, -0.18255105694017468, 0.25420171453496276, -0.037571299312768515, 0.16817106175809526, 0.05935950976515398, -0.028499132371507585, -0.020691057311690596, -0.04488331624224077, -0.006922394177771708, -0.13272883325739254, 0.046726177972824086, 0.2340374739631217, 0.1277533794406074, 0.13092153115501023, -0.329728146160804, -0.06320309720536661, 0.1818387218793722, 0.1930649881058279, 0.06604637512826972, 0.04793547522882826, -0.3021523886354717, 0.19712848072739306, -0.11185914271658551, -0.08601097880791013, -0.07393670065835471, 0.07674349547114455, -0.11452614507753645, -0.31604770758084555, 0.07076389123613329, 5.842698118015683e-05, -0.030584219076461295, 0.02817010175927195, -0.2149799804109529, 0.006707417530685487, 0.10038233049952332, 0.1211514366121092, 0.1238608921863574, 0.09242601311881338, -0.10050695487876704, -0.1484064673012971, 0.40047947962123615, -0.11416898869507058, -0.20640647098884957, 0.13768147689444646, -0.19916125453358308, -0.11634926529898798, 0.17205492096688577, 0.14609922436561942, 0.07372379568770539, -0.1612769080733759, 0.09076848174734647, -0.038699758423012875, 0.16876779264751848, 0.06148434554904523, 0.0008004048712463421, 0.18671461791020527, 0.11920072834114902, 0.022294750964798077, 0.0849836261973292, -0.0943826472430804, -0.05923488440774602, -0.32292145812476175, -0.13511851630807364, -0.08481768708119511, 0.09325599798544505, -0.029930216259221112, -0.10317709784715068, 0.35198416440890956, 0.0958142895802591, 0.2906020020178489, -0.010546688666186962, 0.3037591484656348, 0.12079301846389984, 0.07948374140114915, 0.03783422736685238, 0.2804074117241526, 0.17613044635051056, 0.07064987551462258, -0.2954020421268672, 0.06870909679554314, 0.006753398423749932] |
707.2839 | Critical percolation on random regular graphs | We describe the component sizes in critical independent p-bond percolation on
a random d-regular graph on n vertices, where d \geq 3 is fixed and n grows. We
prove mean-field behavior around the critical probability p_c=1/(d-1).
In particular, we show that there is a scaling window of width n^{-1/3}
around p_c in which the sizes of the largest components are roughly n^{2/3} and
we describe their limiting joint distribution. We also show that for the
subcritical regime, i.e. p = (1-eps(n))p_c where eps(n)=o(1) but \eps(n)n^{1/3}
tends to infinity, the sizes of the largest components are concentrated around
an explicit function of n and eps(n) which is of order o(n^{2/3}). In the
supercritical regime, i.e. p = (1+\eps(n))p_c where eps(n)=o(1) but
eps(n)n^{1/3} tends to infinity, the size of the largest component is
concentrated around the value (2d/(d-2))\eps(n)n and a duality principle holds:
other component sizes are distributed as in the subcritical regime.
| math.PR math.CO | we describe the component sizes in critical independent pbond percolation on a random dregular graph on n vertices where d geq 3 is fixed and n grows we prove meanfield behavior around the critical probability p_c1d1 in particular we show that there is a scaling window of width n13 around p_c in which the sizes of the largest components are roughly n23 and we describe their limiting joint distribution we also show that for the subcritical regime ie p 1epsnp_c where epsno1 but epsnn13 tends to infinity the sizes of the largest components are concentrated around an explicit function of n and epsn which is of order on23 in the supercritical regime ie p 1epsnp_c where epsno1 but epsnn13 tends to infinity the size of the largest component is concentrated around the value 2dd2epsnn and a duality principle holds other component sizes are distributed as in the subcritical regime | [['we', 'describe', 'the', 'component', 'sizes', 'in', 'critical', 'independent', 'pbond', 'percolation', 'on', 'a', 'random', 'dregular', 'graph', 'on', 'n', 'vertices', 'where', 'd', 'geq', '3', 'is', 'fixed', 'and', 'n', 'grows', 'we', 'prove', 'meanfield', 'behavior', 'around', 'the', 'critical', 'probability', 'p_c1d1', 'in', 'particular', 'we', 'show', 'that', 'there', 'is', 'a', 'scaling', 'window', 'of', 'width', 'n13', 'around', 'p_c', 'in', 'which', 'the', 'sizes', 'of', 'the', 'largest', 'components', 'are', 'roughly', 'n23', 'and', 'we', 'describe', 'their', 'limiting', 'joint', 'distribution', 'we', 'also', 'show', 'that', 'for', 'the', 'subcritical', 'regime', 'ie', 'p', '1epsnp_c', 'where', 'epsno1', 'but', 'epsnn13', 'tends', 'to', 'infinity', 'the', 'sizes', 'of', 'the', 'largest', 'components', 'are', 'concentrated', 'around', 'an', 'explicit', 'function', 'of', 'n', 'and', 'epsn', 'which', 'is', 'of', 'order', 'on23', 'in', 'the', 'supercritical', 'regime', 'ie', 'p', '1epsnp_c', 'where', 'epsno1', 'but', 'epsnn13', 'tends', 'to', 'infinity', 'the', 'size', 'of', 'the', 'largest', 'component', 'is', 'concentrated', 'around', 'the', 'value', '2dd2epsnn', 'and', 'a', 'duality', 'principle', 'holds', 'other', 'component', 'sizes', 'are', 'distributed', 'as', 'in', 'the', 'subcritical', 'regime']] | [-0.15888689331643815, 0.19384824240374396, -0.054548200372872606, 0.022935411360646998, 0.0004999906706091549, -0.13140241176089537, 0.04119412761314639, 0.33004262171951787, -0.23589848240704409, -0.24236969401660774, 0.10538166265219583, -0.33296228684152346, -0.09456680554264624, 0.12044480172917246, -0.008482562453718857, 0.0257253853228966, -0.01738720744781728, 0.11694872116869581, -0.0009048287881471749, -0.23404697145638886, 0.32706869479692874, -0.01493540636771026, 0.2632429151529712, 0.03634324227459729, 0.041905628634516946, -0.00995256857048454, 0.03794286581022399, 0.046827279390501124, -0.1813729813760022, 0.02922416314291435, 0.21222828448267786, 0.0738814742075192, 0.28044369643154954, -0.3465698468898024, -0.13802021391955868, 0.16577914878726005, 0.22269137082205687, 0.0535234164263654, 0.045635701771659244, -0.18814134579983408, 0.16671868214450244, -0.10234175641921216, -0.21374490717425942, 0.03131686493953956, 0.1341210917619589, 0.050102576385584796, -0.3166811210169856, 0.07424328036785093, 0.11440012528161918, 0.010245516901237092, -0.008824749640189112, -0.1633450311076428, 0.0012887682482999351, 0.1389948563883081, 0.03407009050715715, 0.02624146227192666, 0.1107931719577339, -0.13863333031269057, -0.03074283206702343, 0.3403306675010494, -0.04703833659794847, -0.1489797062240541, 0.17587276849163963, -0.2347620320506394, -0.1754830953565293, 0.11628051010359611, 0.18695484163638737, 0.14852076803467104, -0.02589344235270151, 0.1397220157868495, -0.06017131702974439, 0.19068912211805583, 0.08532418760338, -0.006064425282446401, 0.13262849962338805, 0.16505571158236956, 0.1424855237052335, 0.1528788009828921, -0.10657878602089893, -0.11068592876295692, -0.3345034125926239, -0.11397203421220184, -0.23311812102328985, 0.08487122486611562, -0.18915362366367064, -0.16263652316826796, 0.31161997087100257, 0.1299068409550403, 0.27338740913130877, 0.1248844236750821, 0.20145722467984473, 0.1475506390835757, 0.03384675909931372, 0.16364996921204564, 0.18452242226339877, 0.10386149609361642, 0.03133895692215966, -0.17767008791478084, 0.06442008702849437, 0.03737194720722203] |
707.284 | On the extraction of weak transition strengths via the (3He,t) reaction
at 420 MeV | Differential cross sections for transitions of known weak strength were
measured with the (3He,t) reaction at 420 MeV on targets of 12C, 13C, 18O,
26Mg, 58Ni, 60Ni, 90Zr, 118Sn, 120Sn and 208Pb. Using this data, it is shown
the proportionalities between strengths and cross sections for this probe
follow simple trends as a function of mass number. These trends can be used to
confidently determine Gamow-Teller strength distributions in nuclei for which
the proportionality cannot be calibrated via beta-decay strengths. Although
theoretical calculations in distorted-wave Born approximation overestimate the
data, they allow one to understand the main experimental features and to
predict deviations from the simple trends observed in some of the transitions.
| nucl-ex | differential cross sections for transitions of known weak strength were measured with the 3het reaction at 420 mev on targets of 12c 13c 18o 26mg 58ni 60ni 90zr 118sn 120sn and 208pb using this data it is shown the proportionalities between strengths and cross sections for this probe follow simple trends as a function of mass number these trends can be used to confidently determine gamowteller strength distributions in nuclei for which the proportionality cannot be calibrated via betadecay strengths although theoretical calculations in distortedwave born approximation overestimate the data they allow one to understand the main experimental features and to predict deviations from the simple trends observed in some of the transitions | [['differential', 'cross', 'sections', 'for', 'transitions', 'of', 'known', 'weak', 'strength', 'were', 'measured', 'with', 'the', '3het', 'reaction', 'at', '420', 'mev', 'on', 'targets', 'of', '12c', '13c', '18o', '26mg', '58ni', '60ni', '90zr', '118sn', '120sn', 'and', '208pb', 'using', 'this', 'data', 'it', 'is', 'shown', 'the', 'proportionalities', 'between', 'strengths', 'and', 'cross', 'sections', 'for', 'this', 'probe', 'follow', 'simple', 'trends', 'as', 'a', 'function', 'of', 'mass', 'number', 'these', 'trends', 'can', 'be', 'used', 'to', 'confidently', 'determine', 'gamowteller', 'strength', 'distributions', 'in', 'nuclei', 'for', 'which', 'the', 'proportionality', 'can', 'not', 'be', 'calibrated', 'via', 'betadecay', 'strengths', 'although', 'theoretical', 'calculations', 'in', 'distortedwave', 'born', 'approximation', 'overestimate', 'the', 'data', 'they', 'allow', 'one', 'to', 'understand', 'the', 'main', 'experimental', 'features', 'and', 'to', 'predict', 'deviations', 'from', 'the', 'simple', 'trends', 'observed', 'in', 'some', 'of', 'the', 'transitions']] | [0.026801391693624554, 0.14507132349535823, -0.06134381292111101, 0.18609287718355885, 0.019059524941615547, -0.11281810835894328, 0.0660810090086766, 0.40038096672740947, -0.18527264811564237, -0.33359419431112575, -0.076593534505248, -0.3359883744759779, -0.01027674502039557, 0.1858464923029635, 0.06865186431330808, 0.0430997889366393, 0.047071134271263554, 0.02217425505647011, -0.057983685769916825, -0.16339595090156714, 0.27718021231907697, 0.10219881610062562, 0.2450910083573769, 0.1308776256832572, -0.015136660752703616, -0.008939274239533564, 0.026194446761030377, -0.06658379528508113, -0.156330976151175, 0.059049521576972644, 0.3504588772796029, 0.06481201299711277, 0.12195100356097612, -0.40723411774818313, -0.12961655470599795, 0.1155596617251847, 0.14161728743643484, 0.13479138704592755, -0.034324623281830564, -0.3077489843248929, 0.05775560404729556, -0.20399788125385449, -0.144216640247849, -0.10751827660817326, 0.05438921753349796, 0.1051181659578313, -0.2752477183116992, 0.03929818868473695, -0.06549621094018221, 0.06895343185010062, -0.13275678553046627, -0.24915679895600892, -0.04446340375171419, 0.10961750233259968, 0.08469731897205572, 0.022312389839115848, 0.2127551821738547, -0.03909045269533077, -0.06214284014340751, 0.3816299663954659, -0.058304491749016994, -0.12353967214329985, 0.1240022655917544, -0.17343228794797733, -0.15424357507665837, 0.17892373137568174, 0.16186193828961173, 0.10816707330135007, -0.17822236995817275, 0.007836092078114712, 0.017727662092319837, 0.19330618593825452, 0.07940713825161781, -0.01743937602773178, 0.14210305108051552, 0.1478565520159655, -0.05623296971775984, -0.013420814381740791, -0.17471840707462674, -0.0786212401019344, -0.28260531492547636, -0.05219835544969037, -0.09197714717307112, 0.05730001001696413, -0.01559737178033908, -0.08514218642085325, 0.30728470646008327, 0.07761787657274685, 0.2667407393618895, 0.00984040362527594, 0.2663399563130122, 0.11528885738797519, 0.10878504762066561, 0.009001980294685876, 0.3877400949961412, 0.2548761083458534, 0.06495427355382657, -0.2509261802790621, 0.15076834730509864, -0.012604269125547848] |
707.2841 | The Virtual Manufacturing concept: Scope, Socio-Economic Aspects and
Future Trends | The research area "Virtual Manufacturing (VM)'' is the use of information
technology and computer simulation to model real world manufacturing processes
for the purpose of analysing and understanding them. As automation technologies
such as CAD/CAM have substantially shortened the time required to design
products, Virtual Manufacturing will have a similar effect on the manufacturing
phase thanks to the modelling, simulation and optimisation of the product and
the processes involved in its fabrication. After a description of Virtual
Manufacturing (definitions and scope), we present some socio-economic factors
of VM and finaly some "hot topics'' for the future are proposed.
| cs.RO | the research area virtual manufacturing vm is the use of information technology and computer simulation to model real world manufacturing processes for the purpose of analysing and understanding them as automation technologies such as cadcam have substantially shortened the time required to design products virtual manufacturing will have a similar effect on the manufacturing phase thanks to the modelling simulation and optimisation of the product and the processes involved in its fabrication after a description of virtual manufacturing definitions and scope we present some socioeconomic factors of vm and finaly some hot topics for the future are proposed | [['the', 'research', 'area', 'virtual', 'manufacturing', 'vm', 'is', 'the', 'use', 'of', 'information', 'technology', 'and', 'computer', 'simulation', 'to', 'model', 'real', 'world', 'manufacturing', 'processes', 'for', 'the', 'purpose', 'of', 'analysing', 'and', 'understanding', 'them', 'as', 'automation', 'technologies', 'such', 'as', 'cadcam', 'have', 'substantially', 'shortened', 'the', 'time', 'required', 'to', 'design', 'products', 'virtual', 'manufacturing', 'will', 'have', 'a', 'similar', 'effect', 'on', 'the', 'manufacturing', 'phase', 'thanks', 'to', 'the', 'modelling', 'simulation', 'and', 'optimisation', 'of', 'the', 'product', 'and', 'the', 'processes', 'involved', 'in', 'its', 'fabrication', 'after', 'a', 'description', 'of', 'virtual', 'manufacturing', 'definitions', 'and', 'scope', 'we', 'present', 'some', 'socioeconomic', 'factors', 'of', 'vm', 'and', 'finaly', 'some', 'hot', 'topics', 'for', 'the', 'future', 'are', 'proposed']] | [-0.08933765465887833, 0.10517413987141407, -0.048501740779955775, 0.0135045240749605, -0.05887260153528531, -0.09056302998690124, 0.04256235297272761, 0.3810153002945744, -0.26614808298324294, -0.34369638150234766, 0.15783644142342085, -0.2312636598944664, -0.15405711121096902, 0.26517575349877304, -0.10008695210349194, 0.08474098347490938, 0.0639813249949746, -0.02891884344553917, -0.018740954141284585, -0.2422224593928502, 0.2797109853542809, 0.07217383649846425, 0.31105531306642736, 0.10443259393606259, 0.04116565367320971, 0.02602500826291436, -0.11510693646696567, -0.03994175114155728, -0.10880072698993751, 0.15534345638387057, 0.29515108964120856, 0.18570519139401007, 0.3142351686422314, -0.4508256286724794, -0.19090565345345104, 0.07689386614769393, 0.10998091236830745, 0.04852830938880845, -0.05754515462155853, -0.2654840188785171, 0.04203889702092761, -0.24713158383205228, -0.13603367502516023, -0.09616998143075985, 0.029724816153210834, 0.012916368622408837, -0.18666553241319536, -0.07673573062508082, 0.014221823788533101, 0.060175610663445324, -0.050543618009530236, -0.14575502298812723, 0.015125993819793269, 0.18825228514187797, 0.0059623995056965065, -0.02889056535252389, 0.22045966272470446, -0.1720646794752351, -0.17018810232949197, 0.41780569746482127, 0.02757612958179825, -0.17060077967768422, 0.2167602687389875, -0.10170463032839934, -0.15016367025578356, 0.07970446836421913, 0.2438205866219134, 0.04922269741833514, -0.17476274070272946, 0.06391981520276631, 0.08256936651103351, 0.08947180020765458, 0.027694900513018424, 0.03700232248259138, 0.1791588383802802, 0.2500651782492594, 0.009758252873826695, 0.12797958877564844, -0.05166714611892085, -0.1183867241940176, -0.26440471652610115, -0.22913240163339949, -0.1082394963263401, 0.04260375036154779, -0.06396604270338109, -0.15890720179684611, 0.3605311181377239, 0.18717613688917184, 0.09614930910352922, 0.005636308199669026, 0.3639339316370232, 0.048212172147551816, 0.13498590889919018, 0.007647801682410039, 0.17515055530488358, 0.07950086709425537, 0.20685492080104137, -0.14802347425352402, 0.11535696257666057, -0.01135011201686397] |
707.2842 | A Classification of 3R Orthogonal Manipulators by the Topology of their
Workspace | A classification of a family of 3-revolute (3R) positining manipulators is
established. This classification is based on the topology of their workspace.
The workspace is characterized in a half-cross section by the singular curves.
The workspace topology is defined by the number of cusps and nodes that appear
on these singular curves. The design parameters space is shown to be divided
into nine domains of distinct workspace topologies, in which all manipulators
have similar global kinematic properties. Each separating surface is given as
an explicit expression in the DH-parameters.
| cs.RO | a classification of a family of 3revolute 3r positining manipulators is established this classification is based on the topology of their workspace the workspace is characterized in a halfcross section by the singular curves the workspace topology is defined by the number of cusps and nodes that appear on these singular curves the design parameters space is shown to be divided into nine domains of distinct workspace topologies in which all manipulators have similar global kinematic properties each separating surface is given as an explicit expression in the dhparameters | [['a', 'classification', 'of', 'a', 'family', 'of', '3revolute', '3r', 'positining', 'manipulators', 'is', 'established', 'this', 'classification', 'is', 'based', 'on', 'the', 'topology', 'of', 'their', 'workspace', 'the', 'workspace', 'is', 'characterized', 'in', 'a', 'halfcross', 'section', 'by', 'the', 'singular', 'curves', 'the', 'workspace', 'topology', 'is', 'defined', 'by', 'the', 'number', 'of', 'cusps', 'and', 'nodes', 'that', 'appear', 'on', 'these', 'singular', 'curves', 'the', 'design', 'parameters', 'space', 'is', 'shown', 'to', 'be', 'divided', 'into', 'nine', 'domains', 'of', 'distinct', 'workspace', 'topologies', 'in', 'which', 'all', 'manipulators', 'have', 'similar', 'global', 'kinematic', 'properties', 'each', 'separating', 'surface', 'is', 'given', 'as', 'an', 'explicit', 'expression', 'in', 'the', 'dhparameters']] | [-0.22289776943233292, 0.04699736215517423, -0.09840681935906753, -0.0072713870777288215, -0.08421220146012547, -0.10624769814687128, -0.011852100293483886, 0.3631748790991889, -0.2484112061645793, -0.2951131749298723, 0.10744043345557762, -0.24184670628465968, -0.15693706431393994, 0.20676801250391136, -0.09969883702224357, 0.04195462988325577, 0.024436282304426033, 0.06939914767448416, -0.058018780241174434, -0.2774778932076076, 0.36053191869380485, -0.06327163789892333, 0.25854191223651857, -0.01006053710334945, 0.09613750861079871, 0.005816460603141579, -0.0038100640810009136, 0.06583073382478624, -0.13782300390398475, 0.12304395169886792, 0.2576759643852711, 0.11802691072974911, 0.1709185967157627, -0.36391493185669527, -0.1739334187887866, 0.12033858754532947, 0.1694248036706242, 0.0028595680346840927, 0.033916733910104836, -0.28389779052258224, 0.1074399141562653, -0.10531966353970013, -0.12153866077805388, -0.05784163877753348, 0.048276051065359996, 0.04733325437182325, -0.18177182379382095, -0.028727758670461245, 0.05077474226575644, 0.1068158461551728, -0.08276293935634238, -0.0877138483712728, -0.0899959446637538, 0.15860396232616542, 0.020983988702853864, 0.008354128231347978, 0.10249398722067132, -0.12939592103752168, -0.11388532175072308, 0.36611584917275536, 0.08127816332953758, -0.2602694870518713, 0.17340537831294298, -0.10989079863132759, -0.10291561089327624, 0.16534323727273137, 0.17838970749456992, 0.131330138016171, -0.15823397428953442, 0.1250156758389243, -0.06431885952686613, 0.11835006948215245, 0.09409378505119219, -0.01976962247863412, 0.16568150102353557, 0.18962996368478427, 0.11626904495006919, 0.13171330819190105, -0.06468283702102864, -0.079833569021189, -0.3282066471874714, -0.1692413860589437, -0.19562307148021058, -0.00462129413439282, -0.11880325956585223, -0.20723936107409743, 0.43144119857949603, 0.0008151614090130696, 0.2931390354602501, 0.02292174818770339, 0.2884721814429966, 0.060324826897336065, 0.08647017832042585, 0.09930194502739215, 0.22694728858103233, 0.07072147399176383, 0.010844089358445557, -0.15521736350445742, 0.10926362304164139, 0.10024632695505674] |
707.2843 | A study of B-meson decays to eta_c K* and eta_c gamma K(*) | We present preliminary results of a study of the two-body B-meson decays to a
charmonium state (ccbar) and a K+ or K*0(892) meson using a sample of about 349
fb-1 of data collected with the BABAR detector at the PEP-II asymmetric-energy
B Factory at SLAC. Here ccbar indicates either the eta_c state, reconstructed
in the K_S K+- pi-+ and K+K-pi0 decay channels, or the h_c state, reconstructed
in its decay to eta_c gamma. We measure BR(B0 -> eta_c K*0)=(6.1+-0.8_stat +-
1.1_syst) * 10-4, BR(B+ -> h_c K+) * BR(h_c -> eta_c gamma)<5.2 * 10-5 and
BR(B0 -> h_c K*0) * BR(h_c -> eta_c gamma)<2.41 * 10^-4, at the 90% C.L.
| hep-ex | we present preliminary results of a study of the twobody bmeson decays to a charmonium state ccbar and a k or k0892 meson using a sample of about 349 fb1 of data collected with the babar detector at the pepii asymmetricenergy b factory at slac here ccbar indicates either the eta_c state reconstructed in the k_s k pi and kkpi0 decay channels or the h_c state reconstructed in its decay to eta_c gamma we measure brb0 eta_c k06108_stat 11_syst 104 brb h_c k brh_c eta_c gamma52 105 and brb0 h_c k0 brh_c eta_c gamma241 104 at the 90 cl | [['we', 'present', 'preliminary', 'results', 'of', 'a', 'study', 'of', 'the', 'twobody', 'bmeson', 'decays', 'to', 'a', 'charmonium', 'state', 'ccbar', 'and', 'a', 'k', 'or', 'k0892', 'meson', 'using', 'a', 'sample', 'of', 'about', '349', 'fb1', 'of', 'data', 'collected', 'with', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'asymmetricenergy', 'b', 'factory', 'at', 'slac', 'here', 'ccbar', 'indicates', 'either', 'the', 'eta_c', 'state', 'reconstructed', 'in', 'the', 'k_s', 'k', 'pi', 'and', 'kkpi0', 'decay', 'channels', 'or', 'the', 'h_c', 'state', 'reconstructed', 'in', 'its', 'decay', 'to', 'eta_c', 'gamma', 'we', 'measure', 'brb0', 'eta_c', 'k06108_stat', '11_syst', '104', 'brb', 'h_c', 'k', 'brh_c', 'eta_c', 'gamma52', '105', 'and', 'brb0', 'h_c', 'k0', 'brh_c', 'eta_c', 'gamma241', '104', 'at', 'the', '90', 'cl']] | [-0.10332990240583077, 0.27109247947884524, -0.08741967924474243, 0.07568686361365179, -0.011014244915481577, -0.1488383666889623, 0.21804810292954419, 0.2776409331461454, -0.11779125569824209, -0.18312647966469855, -0.07703311850088945, -0.5154654457768861, 0.13523034780642929, 0.1050192020967246, 0.18232629673823, 0.1772383645745341, 0.165651304914834, 0.0686182896705701, -0.05491374361581427, -0.1943386477378613, 0.1540888904177762, -0.020674461171902875, 0.18686196063595645, 0.11576792763229063, -0.04104798615964605, -0.03840130143997041, 0.013222383040479048, -0.172866161902772, -0.2562423783522892, -0.04323652977163487, 0.27033939936564877, 0.1410603703326605, 0.09528105548444263, -0.24908043081496603, 0.08926041819591155, 0.19721619923044234, 0.1547296849436107, -0.03658233147035254, 0.033959701161910875, -0.5046313562569149, 0.26235311162321173, -0.19192563383245564, -0.03505209620677906, -0.033554826106410474, 0.08750878006685525, -0.20820312117513745, -0.4073542632915555, 0.1362767980800585, -0.11312213940595454, 0.09888523000668972, -0.018302505128729614, -0.3614127382715332, 0.014316466899509443, -0.10053636155963103, -0.004573088912095161, 0.22843357316525456, 0.2473256466910243, -0.1300373495496968, -0.19005421235998896, 0.3294675029972766, -0.11175329311493229, -0.03458253856986127, 0.11898862669601086, -0.3114438802895552, -0.11831611340389923, 0.2538841736151223, 0.28220416624792555, 0.010115711378835221, -0.19293142062552432, 0.1389634731761923, -0.0027558652961507755, 0.19700223506685902, 0.10596281578368012, 0.10940508205602144, 0.09474164155866713, 0.18595663425413536, -0.05858286465220946, 0.07755974851835995, -0.1427071055377576, 0.06476014723723873, -0.4252094530322133, -0.1413908111367454, -0.04274989757563007, 0.19420334079520815, -0.014741134477631892, -0.006579711461102867, 0.3195968423078352, -0.028927506356341566, 0.410487151724544, -0.0023854814836398717, 0.26603688168874445, 0.05690328275956377, -0.045871383937179766, 0.14367400626949173, 0.3057012079442118, 0.2410328655325352, 0.1901007129097397, -0.33141774923956774, -0.014942165409670548, -0.06818714746313685] |
707.2844 | Heavy-light quark pseudoscalar and vector mesons at finite temperature | The temperature dependence of the mass, leptonic decay constant, and width of
heavy-light quark peseudoscalar and vector mesons is obtained in the framework
of thermal Hilbert moment QCD sum rules. The leptonic decay constants of both
pseudoscalar and vector mesons decrease with increasing $T$, and vanish at a
critical temperature $T_c$, while the mesons develop a width which increases
dramatically and diverges at $T_c$, where $T_c$ is the temperature for
chiral-symmetry restoration. These results indicate the disappearance of
hadrons from the spectral function, which then becomes a smooth function of the
energy. This is interpreted as a signal for deconfinement at $T=T_c$. In
contrast, the masses show little dependence on the temperature, except very
close to $T_c$, where the pseudoscalar meson mass increases slightly by 10-20
%, and the vector meson mass decreases by some 20-30 %
| hep-ph | the temperature dependence of the mass leptonic decay constant and width of heavylight quark peseudoscalar and vector mesons is obtained in the framework of thermal hilbert moment qcd sum rules the leptonic decay constants of both pseudoscalar and vector mesons decrease with increasing t and vanish at a critical temperature t_c while the mesons develop a width which increases dramatically and diverges at t_c where t_c is the temperature for chiralsymmetry restoration these results indicate the disappearance of hadrons from the spectral function which then becomes a smooth function of the energy this is interpreted as a signal for deconfinement at tt_c in contrast the masses show little dependence on the temperature except very close to t_c where the pseudoscalar meson mass increases slightly by 1020 and the vector meson mass decreases by some 2030 | [['the', 'temperature', 'dependence', 'of', 'the', 'mass', 'leptonic', 'decay', 'constant', 'and', 'width', 'of', 'heavylight', 'quark', 'peseudoscalar', 'and', 'vector', 'mesons', 'is', 'obtained', 'in', 'the', 'framework', 'of', 'thermal', 'hilbert', 'moment', 'qcd', 'sum', 'rules', 'the', 'leptonic', 'decay', 'constants', 'of', 'both', 'pseudoscalar', 'and', 'vector', 'mesons', 'decrease', 'with', 'increasing', 't', 'and', 'vanish', 'at', 'a', 'critical', 'temperature', 't_c', 'while', 'the', 'mesons', 'develop', 'a', 'width', 'which', 'increases', 'dramatically', 'and', 'diverges', 'at', 't_c', 'where', 't_c', 'is', 'the', 'temperature', 'for', 'chiralsymmetry', 'restoration', 'these', 'results', 'indicate', 'the', 'disappearance', 'of', 'hadrons', 'from', 'the', 'spectral', 'function', 'which', 'then', 'becomes', 'a', 'smooth', 'function', 'of', 'the', 'energy', 'this', 'is', 'interpreted', 'as', 'a', 'signal', 'for', 'deconfinement', 'at', 'tt_c', 'in', 'contrast', 'the', 'masses', 'show', 'little', 'dependence', 'on', 'the', 'temperature', 'except', 'very', 'close', 'to', 't_c', 'where', 'the', 'pseudoscalar', 'meson', 'mass', 'increases', 'slightly', 'by', '1020', 'and', 'the', 'vector', 'meson', 'mass', 'decreases', 'by', 'some', '2030']] | [-0.07689185616900839, 0.3407695717664797, -0.04065398783631512, 0.08396494254615824, -0.03992229443192899, -0.1320778000821818, 0.11589319314659963, 0.3286568596264097, -0.2119210922843846, -0.2240975212458688, 0.00551693231204469, -0.3265437918372883, 0.014722375042819933, 0.09772453338964217, 0.09776222723911503, 0.08179118006782078, -0.007506591865598266, 0.11482980838670993, -0.1496482425397123, -0.1940159676422768, 0.3343990013114552, 0.00615398650432923, 0.24453575616535633, 0.23707621226281816, 0.005908298205389683, -0.0029932862172014456, 0.03561385504296744, -0.03730045178724425, -0.11828514264284898, -0.06041061659274039, 0.2028835995219224, 0.035497066846339784, 0.17780160885512716, -0.27328177330904263, -0.17301456563682086, 0.11787417883039522, 0.17149730159122664, 0.06825478104943994, -0.019468429217761412, -0.26342080771547755, 0.08788114927670877, -0.13295031152665615, -0.15854182393714064, -0.09334713114258736, 0.015707901355796562, -0.05502868103907694, -0.3394683073761303, 0.16182389128744715, -0.01979558780066558, 0.06457703095971982, -0.08348913687983278, -0.2493385457670066, -0.06277026075508389, -0.0013990363231234585, 0.17091126059731052, 0.16355126991576113, 0.20078342157040738, -0.17714514878557633, -0.04944236472999649, 0.3853175982193493, -0.11504965030836678, -0.10481622998616588, 0.10565359642339954, -0.18747474365770372, -0.08414375659907167, 0.1778810867455913, 0.16483767531506383, 0.06478813331949511, -0.0948602184236272, 0.09184943130952236, -0.0050699695312320745, 0.20769631249461767, 0.10175215377500142, 0.09210487430282771, 0.24008249252584568, 0.17910116820929767, 0.004666038024336544, 0.07391403590627849, -0.06003060705313431, -0.07648512588313489, -0.33767420312028323, -0.12366949048226894, -0.15027147190951146, 0.05661500321089554, -0.16162095961109701, -0.11414965900675908, 0.3888476186418044, 0.07531780557387244, 0.32857191552596565, 0.09462131351517486, 0.3047006792291554, 0.16611567374454367, 0.08597645617903335, 0.1338439440361655, 0.2991172832068935, 0.22028797146961537, 0.20398689491792457, -0.3298984775419604, -0.004251817001530261, 0.04980768239014407] |
707.2845 | Quantum engineering of squeezed states for quantum communication and
metrology | We report the experimental realization of squeezed quantum states of light,
tailored for new applications in quantum communication and metrology. Squeezed
states in a broad Fourier frequency band down to 1 Hz has been observed for the
first time. Nonclassical properties of light in such a low frequency band is
required for high efficiency quantum information storage in electromagnetically
induced transparency (EIT) media. The states observed also cover the frequency
band of ultra-high precision laser interferometers for gravitational wave
detection and can be used to reach the regime of quantum non-demolition
interferometry. And furthermore, they cover the frequencies of motions of
heavily macroscopic objects and might therefore support the attempts to observe
entanglement in our macroscopic world.
| quant-ph | we report the experimental realization of squeezed quantum states of light tailored for new applications in quantum communication and metrology squeezed states in a broad fourier frequency band down to 1 hz has been observed for the first time nonclassical properties of light in such a low frequency band is required for high efficiency quantum information storage in electromagnetically induced transparency eit media the states observed also cover the frequency band of ultrahigh precision laser interferometers for gravitational wave detection and can be used to reach the regime of quantum nondemolition interferometry and furthermore they cover the frequencies of motions of heavily macroscopic objects and might therefore support the attempts to observe entanglement in our macroscopic world | [['we', 'report', 'the', 'experimental', 'realization', 'of', 'squeezed', 'quantum', 'states', 'of', 'light', 'tailored', 'for', 'new', 'applications', 'in', 'quantum', 'communication', 'and', 'metrology', 'squeezed', 'states', 'in', 'a', 'broad', 'fourier', 'frequency', 'band', 'down', 'to', '1', 'hz', 'has', 'been', 'observed', 'for', 'the', 'first', 'time', 'nonclassical', 'properties', 'of', 'light', 'in', 'such', 'a', 'low', 'frequency', 'band', 'is', 'required', 'for', 'high', 'efficiency', 'quantum', 'information', 'storage', 'in', 'electromagnetically', 'induced', 'transparency', 'eit', 'media', 'the', 'states', 'observed', 'also', 'cover', 'the', 'frequency', 'band', 'of', 'ultrahigh', 'precision', 'laser', 'interferometers', 'for', 'gravitational', 'wave', 'detection', 'and', 'can', 'be', 'used', 'to', 'reach', 'the', 'regime', 'of', 'quantum', 'nondemolition', 'interferometry', 'and', 'furthermore', 'they', 'cover', 'the', 'frequencies', 'of', 'motions', 'of', 'heavily', 'macroscopic', 'objects', 'and', 'might', 'therefore', 'support', 'the', 'attempts', 'to', 'observe', 'entanglement', 'in', 'our', 'macroscopic', 'world']] | [-0.15038532154379874, 0.2321970141639547, -0.08109782262044585, 0.03371572548734486, -0.04980698079228974, -0.1320678887443028, 0.08754716269695798, 0.42190938455681515, -0.25645974174571723, -0.2969236491630093, 0.06495743822584996, -0.24565798588670218, -0.07785952789310971, 0.27156963196989053, -0.04985925344288604, 0.14717912602309996, 0.05473657921812314, -0.0029954691138914507, 0.001292783230678457, -0.14742746231201878, 0.23639849009804237, 0.06323701914988904, 0.3250783384164684, 0.07571317370917298, 0.09348671391813292, -0.015757054898442112, 0.0319961642450454, -0.04795908769513042, -0.08735817533909765, 0.08774587592462268, 0.3293673658791261, 0.08952291448934911, 0.22833622737318024, -0.4257349251793363, -0.25461647292185163, 0.08639395704129005, 0.11216755933526298, 0.17513248283798113, -0.04587982235173894, -0.34823414483147425, 0.0047361034756669635, -0.14279870238776007, -0.1350747644304274, -0.09422134227541268, 0.026523885854448263, -0.010753339777390162, -0.2039906948677495, 0.05836853952695313, 0.004318813948581616, 0.03876758238666842, -0.016725496034750827, -0.037012576810124084, 0.039982081074506425, 0.0979663134417218, -0.09056736272361735, -0.03526521904859692, 0.14528720449003527, -0.17882041326767772, -0.16705675440856343, 0.40406833914243895, -0.09461668606063463, -0.08298963684843391, 0.1892034106800317, -0.19968346687049693, -0.09173577323428586, 0.12444898215695642, 0.18896268942576444, 0.09171044558254826, -0.08238831157776184, 0.04456035380921342, 0.03700118399293333, 0.21024056904527366, 0.1400520083709405, 0.21920086547700512, 0.24893071364738747, 0.14809369349963644, 0.06974871538263053, 0.12928853039510357, -0.15694413897700799, -0.03689896214641949, -0.26558374867448187, -0.16899843514363608, -0.23761449239224705, 0.08103855967192819, -0.04898713437519952, -0.1274208315433218, 0.4250370901969508, 0.17018482046058545, 0.12822638736026856, -0.034869813638874605, 0.3018577515384437, 0.13241724338597402, 0.0642222965725212, 0.03056220156658027, 0.33709133109953415, 0.15473000107046503, 0.12280399263955843, -0.24238308877723977, -0.01224808217997416, -0.08160384664805527] |
707.2846 | Disentanglement of two qubits coupled to an XY spin chain: Role of
quantum phase transition | We study the disentanglement of two spin qubits which interact with a general
XY spin-chain environment. The dynamical process of the disentanglement is
numerically and analytically investigated in the vicinity of quantum phase
transition (QPT) of the spin chain in both weak and strong coupling cases. We
find that the disentanglement of the two qubits is in general enhanced greatly
when the environmental spin chain is exposed to QPT. We give a detailed
analysis to facilitate the understanding of the QPT-enhanced decaying behavior
of the disentanglement factor. Furthermore, the scaling behavior in the
disentanglement dynamics is also revealed and analyzed.
| quant-ph | we study the disentanglement of two spin qubits which interact with a general xy spinchain environment the dynamical process of the disentanglement is numerically and analytically investigated in the vicinity of quantum phase transition qpt of the spin chain in both weak and strong coupling cases we find that the disentanglement of the two qubits is in general enhanced greatly when the environmental spin chain is exposed to qpt we give a detailed analysis to facilitate the understanding of the qptenhanced decaying behavior of the disentanglement factor furthermore the scaling behavior in the disentanglement dynamics is also revealed and analyzed | [['we', 'study', 'the', 'disentanglement', 'of', 'two', 'spin', 'qubits', 'which', 'interact', 'with', 'a', 'general', 'xy', 'spinchain', 'environment', 'the', 'dynamical', 'process', 'of', 'the', 'disentanglement', 'is', 'numerically', 'and', 'analytically', 'investigated', 'in', 'the', 'vicinity', 'of', 'quantum', 'phase', 'transition', 'qpt', 'of', 'the', 'spin', 'chain', 'in', 'both', 'weak', 'and', 'strong', 'coupling', 'cases', 'we', 'find', 'that', 'the', 'disentanglement', 'of', 'the', 'two', 'qubits', 'is', 'in', 'general', 'enhanced', 'greatly', 'when', 'the', 'environmental', 'spin', 'chain', 'is', 'exposed', 'to', 'qpt', 'we', 'give', 'a', 'detailed', 'analysis', 'to', 'facilitate', 'the', 'understanding', 'of', 'the', 'qptenhanced', 'decaying', 'behavior', 'of', 'the', 'disentanglement', 'factor', 'furthermore', 'the', 'scaling', 'behavior', 'in', 'the', 'disentanglement', 'dynamics', 'is', 'also', 'revealed', 'and', 'analyzed']] | [-0.18130185362421955, 0.18976139772984416, -0.048790184545772844, 0.0745726746168069, 0.01804641414095055, -0.15967576158811536, 0.03212697962251953, 0.3834704577386605, -0.24665112157982558, -0.2284084927253049, 0.06360248161122353, -0.2857190898297392, -0.13680098410883937, 0.15090141101091198, 0.07844409709702237, 0.024445730604871055, 0.043779480654388817, 0.0466570882220762, -0.09925777158662301, -0.20825179142059025, 0.32429236190327715, 0.02894311256570309, 0.30255519820734705, 0.06608147766779769, 0.0498584341963358, 0.03404115615036301, 0.05921924025798687, -0.008966317410790861, -0.14629917990010893, 0.03316957407602758, 0.20217534029418885, 0.056128749896706354, 0.1926090611859855, -0.42049829330709243, -0.20408272212183085, 0.09197962985637438, 0.15256264808145586, 0.17283736071855094, -0.028869962470248492, -0.33753968158153574, 0.0061707371889791135, -0.15260474659464876, -0.1218131410023856, -0.10035474223997255, 0.007911414923993025, -0.0190714147280563, -0.2539860415037232, 0.08280067056190514, 0.1284494256689519, 0.0658075860466319, 0.008030141503879368, 0.014707686052648257, -0.007955661118783132, 0.15120995719593744, 0.07029711793398342, 0.008906177896535908, 0.14885217939136605, -0.13250675209035928, -0.10856320777193013, 0.31338880135856495, -0.06642294730497242, -0.15688058225945992, 0.2330374352944394, -0.20168234336406293, -0.1300549850789736, 0.10744098522182968, 0.14233932025598908, 0.09084389238580685, -0.18284108480182829, 0.050266436365259, 0.03368853574449366, 0.1751443704383241, -0.03161409165183402, 0.07677261427990302, 0.175233108697064, 0.19485738365252436, 0.022430337272876064, 0.24054093835781318, -0.08368857489955245, -0.18754388443652936, -0.2675746598591407, -0.19607054273776633, -0.19018398378646434, 0.08805006748004204, -0.08864977892274813, -0.12868234034006795, 0.44352556288599815, 0.19482709730288084, 0.2011807142907396, -0.011718522323380139, 0.22551996404813093, 0.1461701864903473, -0.001710251011330672, 0.0417479525668302, 0.2884521059165097, 0.16361252821492728, 0.05856288190592419, -0.36567395435401584, 0.0631249560174918, 0.006047180350493602] |
707.2847 | The massive star binary fraction in young open clusters I. NGC 6231
revisited | We present the results of a long-term high-resolution spectroscopy campaign
on the O-type stars in NGC 6231. We revise the spectral classification and
multiplicity of these objects and we constrain the fundamental properties of
the O-star population. Almost three quarters of the O-type stars in the cluster
are members of a binary system. The minimum binary fraction is 0.63, with half
the O-type binaries having an orbital period of the order of a few days. The
eccentricities of all the short-period binaries are revised downward, and
henceforth match a normal period-eccentricity distribution. The mass-ratio
distribution shows a large preference for O+OB binaries, ruling out the
possibility that, in NGC 6231, the companion of an O-type star is randomly
drawn from a standard IMF. Obtained from a complete and homogeneous population
of O-type stars, our conclusions provide interesting observational constraints
to be confronted with the formation and early-evolution theories of O stars.
| astro-ph | we present the results of a longterm highresolution spectroscopy campaign on the otype stars in ngc 6231 we revise the spectral classification and multiplicity of these objects and we constrain the fundamental properties of the ostar population almost three quarters of the otype stars in the cluster are members of a binary system the minimum binary fraction is 063 with half the otype binaries having an orbital period of the order of a few days the eccentricities of all the shortperiod binaries are revised downward and henceforth match a normal periodeccentricity distribution the massratio distribution shows a large preference for oob binaries ruling out the possibility that in ngc 6231 the companion of an otype star is randomly drawn from a standard imf obtained from a complete and homogeneous population of otype stars our conclusions provide interesting observational constraints to be confronted with the formation and earlyevolution theories of o stars | [['we', 'present', 'the', 'results', 'of', 'a', 'longterm', 'highresolution', 'spectroscopy', 'campaign', 'on', 'the', 'otype', 'stars', 'in', 'ngc', '6231', 'we', 'revise', 'the', 'spectral', 'classification', 'and', 'multiplicity', 'of', 'these', 'objects', 'and', 'we', 'constrain', 'the', 'fundamental', 'properties', 'of', 'the', 'ostar', 'population', 'almost', 'three', 'quarters', 'of', 'the', 'otype', 'stars', 'in', 'the', 'cluster', 'are', 'members', 'of', 'a', 'binary', 'system', 'the', 'minimum', 'binary', 'fraction', 'is', '063', 'with', 'half', 'the', 'otype', 'binaries', 'having', 'an', 'orbital', 'period', 'of', 'the', 'order', 'of', 'a', 'few', 'days', 'the', 'eccentricities', 'of', 'all', 'the', 'shortperiod', 'binaries', 'are', 'revised', 'downward', 'and', 'henceforth', 'match', 'a', 'normal', 'periodeccentricity', 'distribution', 'the', 'massratio', 'distribution', 'shows', 'a', 'large', 'preference', 'for', 'oob', 'binaries', 'ruling', 'out', 'the', 'possibility', 'that', 'in', 'ngc', '6231', 'the', 'companion', 'of', 'an', 'otype', 'star', 'is', 'randomly', 'drawn', 'from', 'a', 'standard', 'imf', 'obtained', 'from', 'a', 'complete', 'and', 'homogeneous', 'population', 'of', 'otype', 'stars', 'our', 'conclusions', 'provide', 'interesting', 'observational', 'constraints', 'to', 'be', 'confronted', 'with', 'the', 'formation', 'and', 'earlyevolution', 'theories', 'of', 'o', 'stars']] | [-0.11420473597012461, 0.09795075734320563, -0.11464153566087286, 0.0787052492160971, -0.1249451442901045, -0.04068739297178885, 0.12436734517260144, 0.38130569798716657, -0.13561842781181135, -0.33429958126197257, 0.044573853485441454, -0.32092573973660665, -0.013483771948764722, 0.21099403937657674, -0.07922143635650476, -0.011073809148122867, 0.19451484095615645, -0.016307678239536473, -0.03479977963337054, -0.32674241629739603, 0.3392297241464257, 0.029750488816450038, 0.0680367958456433, -0.11997947838778297, 0.026252095693101486, -0.07002089098561555, -0.045989948503556664, -0.053983187067011995, -0.16197815241704425, 0.05964728747804959, 0.2066385472069184, 0.17249523748022816, 0.21962734418300292, -0.2811203625394652, -0.1859434027193735, 0.04032927207648754, 0.17305173011341443, 0.038629213916137814, -0.05826529591421907, -0.2540068053593859, 0.10940967686998192, -0.22765981983703873, -0.20447788344075282, 0.04877349592745304, 0.07055057026336727, 0.07142012086464092, -0.24189505799363056, 0.1119696276464189, 0.05971912791331609, 0.12982616955414414, -0.18548061148263514, -0.16000350346885778, -0.041836122921667995, 0.11528807867163171, 0.03513118362985551, 0.05471784392837435, 0.06789972123437717, -0.11678302710565427, -0.0595666176918894, 0.4114057751869162, -0.05256060776844, 0.0039794279386599855, 0.2123261055179561, -0.21217317948117853, -0.19698163559737925, 0.10337606987295052, 0.1584545868790398, 0.19124617944161096, -0.19332094200265904, -0.020100391137336072, -0.03363186709893246, 0.23699473117788633, 0.030248353977998098, 0.05606159993369753, 0.375488313442717, 0.12007407765835523, -0.009708601489352682, 0.11162208489530409, -0.23067452933484067, -0.07320165071015557, -0.2010499492349724, -0.10386661221273244, -0.11170695764555906, 0.11852233186364174, -0.1698358106359956, -0.15705054111468295, 0.37205606618275244, 0.07569918137354155, 0.20605449229789277, 0.023463312831396858, 0.24150267918516571, 0.08818218482658267, 0.08211811866582139, 0.12711731661731998, 0.32477795687814554, 0.20591510401417812, 0.07360912177013233, -0.25322795602492987, 0.08689786370533208, -0.029612914194973805] |
707.2848 | Prospects of inflation in delicate D-brane cosmology | We study D-brane inflation in a warped conifold background that includes
brane-position dependent corrections for the nonperturbative superpotential.
Instead of stabilizing the volume modulus chi at instantaneous minima of the
potential and studying the inflation dynamics with an effective single field
(radial distance between a brane and an anti-brane) phi, we investigate the
multi-field inflation scenario involving these two fields. The two-field
dynamics with the potential V(phi,chi) in this model is significantly different
from the effective single-field description in terms of the field phi when the
field chi is integrated out. The latter picture underestimates the total number
of e-foldings even by one order of magnitude. We show that a correct
single-field description is provided by a field psi obtained from a rotation in
the two-field space along the background trajectory. This model can give a
large number of e-foldings required to solve flatness and horizon problems at
the expense of fine-tunings of model parameters. We also estimate the spectra
of density perturbations and show that the slow-roll parameter eta_{psi
psi}=M_{pl}^2 V_{,psi psi}/V in terms of the rotated field psi determines the
spectral index of scalar metric perturbations. We find that it is generally
difficult to satisfy, simultaneously, both constraints of the spectral index
and the COBE normalization, while the tensor to scalar ratio is sufficiently
small to match with observations.
| hep-th astro-ph gr-qc hep-ph | we study dbrane inflation in a warped conifold background that includes braneposition dependent corrections for the nonperturbative superpotential instead of stabilizing the volume modulus chi at instantaneous minima of the potential and studying the inflation dynamics with an effective single field radial distance between a brane and an antibrane phi we investigate the multifield inflation scenario involving these two fields the twofield dynamics with the potential vphichi in this model is significantly different from the effective singlefield description in terms of the field phi when the field chi is integrated out the latter picture underestimates the total number of efoldings even by one order of magnitude we show that a correct singlefield description is provided by a field psi obtained from a rotation in the twofield space along the background trajectory this model can give a large number of efoldings required to solve flatness and horizon problems at the expense of finetunings of model parameters we also estimate the spectra of density perturbations and show that the slowroll parameter eta_psi psim_pl2 v_psi psiv in terms of the rotated field psi determines the spectral index of scalar metric perturbations we find that it is generally difficult to satisfy simultaneously both constraints of the spectral index and the cobe normalization while the tensor to scalar ratio is sufficiently small to match with observations | [['we', 'study', 'dbrane', 'inflation', 'in', 'a', 'warped', 'conifold', 'background', 'that', 'includes', 'braneposition', 'dependent', 'corrections', 'for', 'the', 'nonperturbative', 'superpotential', 'instead', 'of', 'stabilizing', 'the', 'volume', 'modulus', 'chi', 'at', 'instantaneous', 'minima', 'of', 'the', 'potential', 'and', 'studying', 'the', 'inflation', 'dynamics', 'with', 'an', 'effective', 'single', 'field', 'radial', 'distance', 'between', 'a', 'brane', 'and', 'an', 'antibrane', 'phi', 'we', 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'the', 'spectra', 'of', 'density', 'perturbations', 'and', 'show', 'that', 'the', 'slowroll', 'parameter', 'eta_psi', 'psim_pl2', 'v_psi', 'psiv', 'in', 'terms', 'of', 'the', 'rotated', 'field', 'psi', 'determines', 'the', 'spectral', 'index', 'of', 'scalar', 'metric', 'perturbations', 'we', 'find', 'that', 'it', 'is', 'generally', 'difficult', 'to', 'satisfy', 'simultaneously', 'both', 'constraints', 'of', 'the', 'spectral', 'index', 'and', 'the', 'cobe', 'normalization', 'while', 'the', 'tensor', 'to', 'scalar', 'ratio', 'is', 'sufficiently', 'small', 'to', 'match', 'with', 'observations']] | [-0.1617223211576999, 0.14760965693643863, -0.10275388069124677, 0.0966919186317967, -0.06392922019800558, -0.12444988104690742, -0.029266055709841202, 0.3017015201275662, -0.2217764346409709, -0.32841242261634374, 0.05671108399532856, -0.2309601765709676, -0.1190013774310685, 0.14709194997338415, -0.044176116431226375, 0.008086875441574281, 0.02787009003188049, 0.054964456780199906, 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707.2849 | Complete sums of products of (h,q)-extension of Euler numbers and
polynomials | In this paper we investigate some interesting of the (h,q)-extension of Euler
numbers and polynomials. Finally, we will give some relations between these
numbers anf polynomials
| math.NT | in this paper we investigate some interesting of the hqextension of euler numbers and polynomials finally we will give some relations between these numbers anf polynomials | [['in', 'this', 'paper', 'we', 'investigate', 'some', 'interesting', 'of', 'the', 'hqextension', 'of', 'euler', 'numbers', 'and', 'polynomials', 'finally', 'we', 'will', 'give', 'some', 'relations', 'between', 'these', 'numbers', 'anf', 'polynomials']] | [-0.29840127045575243, 0.12936002367104477, -0.1175892550784808, 0.1374136183115367, -0.09660737932874607, -0.08074500146680154, 0.030488373250521433, 0.31450642537898743, -0.32914828681028807, -0.2624761178516425, 0.09244443108596337, -0.23820681711479735, -0.27189115427721006, 0.2252079970561541, -0.10216627159836487, 0.014968747129807105, 0.01641530176409735, 0.018896509821598347, -0.12528836445954555, -0.3067726530134678, 0.3988138763950421, -0.036976597558420435, 0.11286712957259554, 0.07256907951803161, 0.08422364240798813, -0.08900120270510133, -0.06316098871712501, -0.014771964401006699, -0.25469052447722507, 0.15123819088778243, 0.2815521528514532, 0.15177908833496845, 0.23735026572830975, -0.4187062642035576, -0.0049361091357870744, 0.2185216834768653, 0.18323976215190038, 0.05237580885967383, -0.04539813004577389, -0.20447234379557463, 0.06768401174877699, -0.15800593707423943, -0.16709466335865167, -0.14321480533824518, 0.02168274061897626, 0.20863080096359438, -0.19651137177760786, -0.003351342434493395, 0.04694488773552271, 0.1322721577464388, 0.0071871309326245235, -0.1941017828290709, 0.08102541787621494, 0.0727269404496138, 0.05253630300733046, -0.1110306667486349, -0.08169625115652497, -0.13925718281377789, -0.10477238469040738, 0.35629327394641364, 0.05604473485996445, -0.26881921047774643, 0.14193440787494183, -0.22129659408416885, -0.2622530126872544, -0.0030656375993902865, 0.169029977853195, 0.09783522949482386, -0.03307772803908357, 0.03102098172306656, -0.18410339034520662, 0.039000295066776186, 0.1700219398794266, 0.08257044973568274, 0.14010979185024133, -0.012674997847240705, -0.05106524098664522, 0.23738540260371968, -0.04550456298658481, -0.03260316409600469, -0.3527744340781982, -0.2724702343201408, -0.09078834478098613, 0.08278683963446663, -0.13411859241974666, -0.12741325258348996, 0.4190664136639008, 0.22333879553927824, 0.18621837849227282, 0.1770240475441544, 0.19856319877390677, 0.11351335048675537, -0.05812485974568587, 0.022006233742174048, 0.1249069827720702, 0.21791684387538296, 0.08955099720221299, -0.124668877858382, -0.01451619084064777, 0.18672624710374153] |
707.285 | Nuclear Georeactor Generation of Earth's Geomagnetic Field | The purpose of this communication is to suggest that the mechanism for
generating the geomagnetic field and the energy source for powering it are one
and the same, a nuclear georeactor at the center of the Earth. Toward this end,
I: i) Present evidence that the nuclear georeactor fission-product sub-shell is
fluid; ii)Suggest that the geomagnetic field is generated within the georeactor
sub-shell, rather than within Earth's iron-alloy fluid core; iii) Describe why
convection appears more feasible within the georeactor sub-shell than within
the iron-alloy core; iv) Disclose additional relative physical advantages for
georeactor sub-shell dynamo operation; and, v) Outline briefly the research
that should be conducted to advance the state of knowledge of
georeactor-geomagnetic field generation. The concept of geomagnetic field
production by the nuclear georeactor is presented specifically for the Earth.
The concepts and principles, however, are generally applicable to planetary
magnetic field production.
| physics.geo-ph physics.gen-ph physics.space-ph | the purpose of this communication is to suggest that the mechanism for generating the geomagnetic field and the energy source for powering it are one and the same a nuclear georeactor at the center of the earth toward this end i i present evidence that the nuclear georeactor fissionproduct subshell is fluid iisuggest that the geomagnetic field is generated within the georeactor subshell rather than within earths ironalloy fluid core iii describe why convection appears more feasible within the georeactor subshell than within the ironalloy core iv disclose additional relative physical advantages for georeactor subshell dynamo operation and v outline briefly the research that should be conducted to advance the state of knowledge of georeactorgeomagnetic field generation the concept of geomagnetic field production by the nuclear georeactor is presented specifically for the earth the concepts and principles however are generally applicable to planetary magnetic field production | [['the', 'purpose', 'of', 'this', 'communication', 'is', 'to', 'suggest', 'that', 'the', 'mechanism', 'for', 'generating', 'the', 'geomagnetic', 'field', 'and', 'the', 'energy', 'source', 'for', 'powering', 'it', 'are', 'one', 'and', 'the', 'same', 'a', 'nuclear', 'georeactor', 'at', 'the', 'center', 'of', 'the', 'earth', 'toward', 'this', 'end', 'i', 'i', 'present', 'evidence', 'that', 'the', 'nuclear', 'georeactor', 'fissionproduct', 'subshell', 'is', 'fluid', 'iisuggest', 'that', 'the', 'geomagnetic', 'field', 'is', 'generated', 'within', 'the', 'georeactor', 'subshell', 'rather', 'than', 'within', 'earths', 'ironalloy', 'fluid', 'core', 'iii', 'describe', 'why', 'convection', 'appears', 'more', 'feasible', 'within', 'the', 'georeactor', 'subshell', 'than', 'within', 'the', 'ironalloy', 'core', 'iv', 'disclose', 'additional', 'relative', 'physical', 'advantages', 'for', 'georeactor', 'subshell', 'dynamo', 'operation', 'and', 'v', 'outline', 'briefly', 'the', 'research', 'that', 'should', 'be', 'conducted', 'to', 'advance', 'the', 'state', 'of', 'knowledge', 'of', 'georeactorgeomagnetic', 'field', 'generation', 'the', 'concept', 'of', 'geomagnetic', 'field', 'production', 'by', 'the', 'nuclear', 'georeactor', 'is', 'presented', 'specifically', 'for', 'the', 'earth', 'the', 'concepts', 'and', 'principles', 'however', 'are', 'generally', 'applicable', 'to', 'planetary', 'magnetic', 'field', 'production']] | [-0.0964481273000096, 0.19133543926519114, -0.05243308521103817, 0.13000930998298516, -0.06421594631734427, -0.07392166458864834, 0.019143177064500385, 0.3335068076327964, -0.22680961687143866, -0.29451212844440156, 0.06028096121898689, -0.23041071817018352, -0.07170716142347017, 0.19206612283637473, -0.010139381916789742, -0.0610767547008614, 0.06073508974998356, 0.06867573311604508, -0.01643894680033249, -0.1466071181523555, 0.31292648388111927, 0.13838941811655575, 0.22401102098890327, 0.07542157543406307, 0.039978267781280136, -0.05783239865538801, 0.01721017695458645, -0.017417361826303747, -0.07606866146324665, 0.13718857405417423, 0.2534686583061735, 0.18387673076216157, 0.2421665250395353, -0.47764154127636155, -0.22168419697693179, 0.031160865212673437, 0.10170218102321342, 0.0836398213372364, -0.08568950849505862, -0.23931357036002787, 0.09380947493490523, -0.19536624672998498, -0.16784189669154845, -0.0192506802436233, 0.07166665645195758, 0.02595126917308939, -0.25943767782170457, 0.04056416905218071, 0.06956819211438313, 0.10723210179728905, -0.11891269447425237, -0.15613597273904753, -0.010929082057901196, 0.0655258439083981, 0.08765818927619425, 0.05963748912294428, 0.2093216549158194, -0.12480951751699554, -0.06255256114087973, 0.4443176340285715, 0.004062111563353728, -0.07716197942520354, 0.14877251633996522, -0.19867449643748156, -0.12166491137830528, 0.14342256720093163, 0.1244452472684996, 0.06680631623733659, -0.13821149458196927, 0.04494479077321093, 0.002285146465446878, 0.13164428742341958, 0.016547154522846108, 0.005008053861662642, 0.2557463626559641, 0.19571041758986307, 0.0689580619532185, 0.04811924426259564, -0.18203909348996056, -0.12734738272986004, -0.3480790901303917, -0.15626588349158949, -0.13260980134901518, 0.007630881384484001, -0.030254491311384014, -0.09624559433570692, 0.41561854625498496, 0.16509552198377522, 0.08367166686086701, -0.038848739794709465, 0.29017760346715266, 0.06838273012789188, 0.08853059364287379, 0.1322864055685647, 0.3223316998097238, 0.16378419843039937, 0.11021689342341379, -0.25992086538361137, 0.0900437683485761, 0.015250785434227828] |
707.2851 | Geometrical relations and plethysms in the Homfly skein of the annulus | The oriented framed Homfly skein C of the annulus provides the natural
parameter space for the Homfly satellite invariants of a knot. It contains a
submodule C+ isomorphic to the algebra of the symmetric functions.
We collect and expand formulae relating elements expressed in terms of
symmetric functions to Turaev's geometrical basis of C+. We reformulate the
formulae of Rosso and Jones for quantum sl(N) invariants of cables in terms of
plethysms of symmetric functions, and use the connection between quantum sl(N)
invariants and C+ to give a formula for the satellite of a cable as an element
of C+. We then analyse the case where a cable is decorated by the pattern which
corresponds to a power sum in the symmetric function interpretation of C+ to
get direct relations between the Homfly invariants of some diagrams decorated
by power sums.
| math.GT | the oriented framed homfly skein c of the annulus provides the natural parameter space for the homfly satellite invariants of a knot it contains a submodule c isomorphic to the algebra of the symmetric functions we collect and expand formulae relating elements expressed in terms of symmetric functions to turaevs geometrical basis of c we reformulate the formulae of rosso and jones for quantum sln invariants of cables in terms of plethysms of symmetric functions and use the connection between quantum sln invariants and c to give a formula for the satellite of a cable as an element of c we then analyse the case where a cable is decorated by the pattern which corresponds to a power sum in the symmetric function interpretation of c to get direct relations between the homfly invariants of some diagrams decorated by power sums | [['the', 'oriented', 'framed', 'homfly', 'skein', 'c', 'of', 'the', 'annulus', 'provides', 'the', 'natural', 'parameter', 'space', 'for', 'the', 'homfly', 'satellite', 'invariants', 'of', 'a', 'knot', 'it', 'contains', 'a', 'submodule', 'c', 'isomorphic', 'to', 'the', 'algebra', 'of', 'the', 'symmetric', 'functions', 'we', 'collect', 'and', 'expand', 'formulae', 'relating', 'elements', 'expressed', 'in', 'terms', 'of', 'symmetric', 'functions', 'to', 'turaevs', 'geometrical', 'basis', 'of', 'c', 'we', 'reformulate', 'the', 'formulae', 'of', 'rosso', 'and', 'jones', 'for', 'quantum', 'sln', 'invariants', 'of', 'cables', 'in', 'terms', 'of', 'plethysms', 'of', 'symmetric', 'functions', 'and', 'use', 'the', 'connection', 'between', 'quantum', 'sln', 'invariants', 'and', 'c', 'to', 'give', 'a', 'formula', 'for', 'the', 'satellite', 'of', 'a', 'cable', 'as', 'an', 'element', 'of', 'c', 'we', 'then', 'analyse', 'the', 'case', 'where', 'a', 'cable', 'is', 'decorated', 'by', 'the', 'pattern', 'which', 'corresponds', 'to', 'a', 'power', 'sum', 'in', 'the', 'symmetric', 'function', 'interpretation', 'of', 'c', 'to', 'get', 'direct', 'relations', 'between', 'the', 'homfly', 'invariants', 'of', 'some', 'diagrams', 'decorated', 'by', 'power', 'sums']] | [-0.20493100289625268, 0.06938204511191781, -0.08413127980175171, 0.03766960764414439, -0.09666696652202002, -0.14093039989973424, 0.016846138448537003, 0.30168677406742217, -0.3020957831148032, -0.26216208562915416, 0.05316054169171166, -0.2352133330101385, -0.17702149723306404, 0.19712180139642235, -0.09151062411619416, -0.00661960665420596, -0.005927042224847362, 0.050805986281781595, -0.13935410198491358, -0.2223559394478798, 0.32172733191268665, -0.010342523173250734, 0.1759599581202294, 0.06488526740989892, 0.09538595879067344, 0.032896935949696504, -0.07301849318694667, -0.029395457849456394, -0.19233354307869646, 0.15747938945134837, 0.2636483350755475, 0.10760796669844194, 0.07391402511840937, -0.3920254580584084, -0.07646886082300057, 0.12899537542702774, 0.12399507926922318, -0.010396570308259457, 0.03644513082195153, -0.24277273281015033, 0.07887291427741343, -0.22683038771753564, -0.16746202551806016, -0.04684909180810688, 0.09553022489797139, 0.03911482738264909, -0.23861986296647725, 0.015585332283261397, 0.047075898624322515, 0.09806884632360005, 0.013139278692332036, -0.10905745811760426, -0.06176408837179501, 0.13144374272211434, -0.024554795199998567, 0.0447328285791363, 0.08324886723058232, -0.1701786026888253, -0.13860909140450842, 0.39999678172831626, -0.06513867017083161, -0.2659029383294892, 0.09234099842753288, -0.12323588783463053, -0.1360141812090544, 0.08929009601613755, 0.06755569599674525, 0.11819894467843763, -0.051540356631397354, 0.14956341850809118, -0.11186519366893785, 0.07994213299198301, 0.10682898370800077, -0.004142847423217134, 0.19497545241834002, -0.002758539929087703, 0.026736258925434124, 0.24527815973769265, -0.008108473443987628, -0.07692588388701861, -0.35661285539018983, -0.285861980113868, -0.14663491965146036, 0.07001006959092057, -0.13502021358659697, -0.2085968395992321, 0.4155356572207777, 0.022521974267900414, 0.1903762479371751, 0.1349211653755608, 0.258872376279311, 0.11969346261388418, 0.08688408123983189, 0.03139263578956445, 0.10235996241784483, 0.25315092633980335, 0.02710925962950156, -0.15369958470489645, 0.019281551524243774, 0.2167072137685638] |
707.2852 | Electron fishbones: Theory and experimental evidence | We discuss the processes underlying the excitation of fishbone-like internal
kink instabilities driven by supra-thermal electrons generated experimentally
by different means: Electron Cyclotron Resonance Heating (ECRH) and by Lower
Hybrid (LH) power injection. The peculiarity and interest of exciting these
electron fishbones by ECRH only or by LH only is also analyzed. Not only the
mode stability is explained, but also the transition between steady state
nonlinear oscillations to bursting (almost regular) pulsations, as observed in
FTU, is interpreted in terms of the LH power input. These results are directly
relevant to the investigation of trapped alpha particle interactions with
low-frequency MHD modes in burning plasmas: in fact, alpha particles in reactor
relevant conditions are characterized by small dimensionless orbits, similarly
to electrons; the trapped particle bounce averaged dynamics, meanwhile, depends
on energy and not mass.
| physics.plasm-ph | we discuss the processes underlying the excitation of fishbonelike internal kink instabilities driven by suprathermal electrons generated experimentally by different means electron cyclotron resonance heating ecrh and by lower hybrid lh power injection the peculiarity and interest of exciting these electron fishbones by ecrh only or by lh only is also analyzed not only the mode stability is explained but also the transition between steady state nonlinear oscillations to bursting almost regular pulsations as observed in ftu is interpreted in terms of the lh power input these results are directly relevant to the investigation of trapped alpha particle interactions with lowfrequency mhd modes in burning plasmas in fact alpha particles in reactor relevant conditions are characterized by small dimensionless orbits similarly to electrons the trapped particle bounce averaged dynamics meanwhile depends on energy and not mass | [['we', 'discuss', 'the', 'processes', 'underlying', 'the', 'excitation', 'of', 'fishbonelike', 'internal', 'kink', 'instabilities', 'driven', 'by', 'suprathermal', 'electrons', 'generated', 'experimentally', 'by', 'different', 'means', 'electron', 'cyclotron', 'resonance', 'heating', 'ecrh', 'and', 'by', 'lower', 'hybrid', 'lh', 'power', 'injection', 'the', 'peculiarity', 'and', 'interest', 'of', 'exciting', 'these', 'electron', 'fishbones', 'by', 'ecrh', 'only', 'or', 'by', 'lh', 'only', 'is', 'also', 'analyzed', 'not', 'only', 'the', 'mode', 'stability', 'is', 'explained', 'but', 'also', 'the', 'transition', 'between', 'steady', 'state', 'nonlinear', 'oscillations', 'to', 'bursting', 'almost', 'regular', 'pulsations', 'as', 'observed', 'in', 'ftu', 'is', 'interpreted', 'in', 'terms', 'of', 'the', 'lh', 'power', 'input', 'these', 'results', 'are', 'directly', 'relevant', 'to', 'the', 'investigation', 'of', 'trapped', 'alpha', 'particle', 'interactions', 'with', 'lowfrequency', 'mhd', 'modes', 'in', 'burning', 'plasmas', 'in', 'fact', 'alpha', 'particles', 'in', 'reactor', 'relevant', 'conditions', 'are', 'characterized', 'by', 'small', 'dimensionless', 'orbits', 'similarly', 'to', 'electrons', 'the', 'trapped', 'particle', 'bounce', 'averaged', 'dynamics', 'meanwhile', 'depends', 'on', 'energy', 'and', 'not', 'mass']] | [-0.1290713284373958, 0.3051080706303337, 0.016414285303172245, 0.0986689057388182, -0.016252076237887034, -0.15964835084399537, 0.01595289161452777, 0.33599962442017656, -0.24416918238378404, -0.2938373038846561, 0.04490607672264827, -0.2492770392255967, -0.062014150544521675, 0.23798246543019025, 0.013896067371687797, 0.03933193555841332, 0.060720377914977315, -0.013948942595401177, 0.015737382664263028, -0.1358100837918327, 0.2929963684976375, 0.11254162455032415, 0.23854727292885347, 0.038580451152109375, 0.05389765801373869, -0.07039137326629476, 0.018268571603317362, -0.003596295076182715, -0.13728788439520406, 0.01386600649857428, 0.21264302225523246, 0.0322927835274159, 0.20622090547797545, -0.4577636486441513, -0.25244038829730603, 0.0440224744961597, 0.20154302065116902, 0.05297409052796224, -0.0632142122459995, -0.26809397859923434, 0.021973785035216305, -0.15159941430080354, -0.14429690490257652, -0.055928254185025304, 0.042950208497452826, 0.0601711421066498, -0.2619873760542011, 0.14474675592560637, 0.09490913176855162, 0.02337739703601555, -0.09828768562018762, -0.05146276011809652, -0.1097608473877806, 0.036244827903026494, 0.09138413507410886, -0.0335093147612711, 0.20827571308815523, -0.11214371565181543, -0.07953147029997233, 0.35073868416742804, -0.08698472178280901, -0.16250208032707794, 0.19591354154844715, -0.24727241835652797, -0.06376611100431011, 0.2023666723193053, 0.1259139736982487, 0.06454495523083846, -0.11929944567108418, 0.04987573214705609, -0.003347795391592252, 0.15657656653510296, 0.12811397872728242, 0.041019339847159296, 0.24422726733952432, 0.1511018807958702, -0.005844264609657009, 0.08950488771455746, -0.08732514831011512, -0.0597309817573713, -0.26887659345041304, -0.06544429310494759, -0.16203762286215137, 0.04014024693156791, -0.0071164738128572935, -0.13737976541639962, 0.42498116134597425, 0.07645743870970738, 0.1636333433801637, -0.1028491773057099, 0.2840311762993224, 0.17923588368969778, 0.010553235071711242, 0.10942190969088937, 0.3172692393760799, 0.15650453868061853, 0.09656103826744263, -0.3031119670623037, 0.04946628735256929, 0.041124224513837626] |
707.2853 | Phase transition in the maximum clique problem: the case of Erdos-Renyi
graphs | A phase transition, like the one already found on Boolean satisfiability
problem by Kirkpatrick and Selman, is found on max clique problem on ER graphs.
Although number of the datapoints is limited, the transition seems to obey
finite size scaling. The transition also shows concentration of the graph
instances which need particularly large CPU time to solve.
| cond-mat.stat-mech | a phase transition like the one already found on boolean satisfiability problem by kirkpatrick and selman is found on max clique problem on er graphs although number of the datapoints is limited the transition seems to obey finite size scaling the transition also shows concentration of the graph instances which need particularly large cpu time to solve | [['a', 'phase', 'transition', 'like', 'the', 'one', 'already', 'found', 'on', 'boolean', 'satisfiability', 'problem', 'by', 'kirkpatrick', 'and', 'selman', 'is', 'found', 'on', 'max', 'clique', 'problem', 'on', 'er', 'graphs', 'although', 'number', 'of', 'the', 'datapoints', 'is', 'limited', 'the', 'transition', 'seems', 'to', 'obey', 'finite', 'size', 'scaling', 'the', 'transition', 'also', 'shows', 'concentration', 'of', 'the', 'graph', 'instances', 'which', 'need', 'particularly', 'large', 'cpu', 'time', 'to', 'solve']] | [-0.09068753766386133, 0.1143328937652864, -0.021465085218088667, 0.07990977310640901, -0.12332181116206604, -0.1731397661119046, 0.10588295656468785, 0.3324724772062741, -0.26090378931870584, -0.37285822401182694, 0.11621199837444644, -0.2959991282816127, -0.09919770271925811, 0.14482028850991474, -0.06282740339571447, 0.09610208315905511, 0.03477854283297794, 0.10398227064625214, -0.03288217090691129, -0.25555326726967714, 0.2728693574144129, -0.0021349641233029074, 0.28887166442316875, 0.06401605101857792, 0.026559139928666122, -0.04608506728127076, 0.041158512169331835, 0.0902372255529228, -0.10856358729008782, -0.010331627851548163, 0.27276878266211335, 0.14069378537495045, 0.2599496997304653, -0.4028199732695755, -0.16984833830052562, 0.17002163190607048, 0.13489952173672223, 0.06409915919587213, -0.009722114914390994, -0.23082547114034624, 0.062445281808705705, -0.09676902679105599, -0.02050714533808723, -0.03748495167676817, 0.10782768177031948, 0.00292422133089419, -0.24887421630780426, 0.04422389371514631, 0.07621629771433379, 0.013764300301932451, 0.03615101302663485, -0.14662582804081276, 0.024518638800241445, 0.04587860921757263, -0.015140764488789597, 0.05619442856690863, 0.0986738506492162, -0.10057647933105104, -0.10251755242056229, 0.41179099899569627, 0.03913371519822823, -0.09815077934610217, 0.14143772731053136, -0.13016738878612064, -0.214621553360893, 0.15020382402693494, 0.12036225824563748, 0.12787387731256322, -0.08504606771952751, 0.10957367746710875, -0.05967513313353585, 0.252242200223631, 0.0920574960805345, -0.040228016805230526, 0.11833167246036362, 0.19214497243969195, 0.09476721120115958, 0.19856814821169042, -0.034916726210595744, -0.14333571774656312, -0.1709519167381682, -0.07507065612120195, -0.2652420763522713, 0.018576587305257197, -0.15970158349010857, -0.20711019641327622, 0.3527173948425211, 0.14249504168861007, 0.17801704653130287, 0.1515403247475134, 0.20461221062986737, 0.11919609035708402, 0.1106960423129382, 0.10594878228087175, 0.18732639840036108, 0.15112852812091118, 0.14322394795160284, -0.2518916975608782, 0.12363562582207746, 0.09141405083631214] |
707.2854 | Boost invariance of the gravitational field dynamics: quantization
without time gauge | We perform a canonical quantization of gravity in a second-order formulation,
taking as configuration variables those describing a 4-bein, not adapted to the
space-time splitting. We outline how, neither if we fix the Lorentz frame
before quantizing, nor if we perform no gauge fixing at all, is invariance
under boost transformations affected by the quantization.
| gr-qc | we perform a canonical quantization of gravity in a secondorder formulation taking as configuration variables those describing a 4bein not adapted to the spacetime splitting we outline how neither if we fix the lorentz frame before quantizing nor if we perform no gauge fixing at all is invariance under boost transformations affected by the quantization | [['we', 'perform', 'a', 'canonical', 'quantization', 'of', 'gravity', 'in', 'a', 'secondorder', 'formulation', 'taking', 'as', 'configuration', 'variables', 'those', 'describing', 'a', '4bein', 'not', 'adapted', 'to', 'the', 'spacetime', 'splitting', 'we', 'outline', 'how', 'neither', 'if', 'we', 'fix', 'the', 'lorentz', 'frame', 'before', 'quantizing', 'nor', 'if', 'we', 'perform', 'no', 'gauge', 'fixing', 'at', 'all', 'is', 'invariance', 'under', 'boost', 'transformations', 'affected', 'by', 'the', 'quantization']] | [-0.1465609581802379, 0.15511297713965178, -0.12391067974756217, 0.09725838379130106, -0.12445526623421095, -0.17406206958165224, 0.04072873797691004, 0.4009258748794144, -0.21630810704928907, -0.26036440655589105, 0.06459958238146184, -0.17350969013165343, -0.16205841000615195, 0.08736580495129932, -0.09292489759285341, -0.03012768927622925, 0.024371934529732575, 0.057234587914056397, -0.20341028803112832, -0.2479408589149402, 0.32104806326837704, 0.09648430503650822, 0.2527242428199811, -0.054891516324344344, 0.15494915664153683, 0.08938125851987437, -0.02773753462189978, 0.07854093113406138, -0.08058379458432847, -0.01343017980795015, 0.16763633693653074, 0.11848233861171387, 0.21251116015694357, -0.42837134562432766, -0.216482430645688, 0.11965194093063473, 0.11623425927351821, 0.15691638714210554, -0.016434660689397293, -0.25664557563987644, 0.10378281533776317, -0.13578007117929783, -0.10806677011899989, -0.1543749768964269, -0.0435449885035103, -0.10440909086980603, -0.23757362890649925, 0.030545941706408154, 0.08169759307903322, 0.044608926533361556, -0.07437771934677254, -0.007060989517379891, -0.007007257022302259, 0.09609879745509137, 0.06593217853118073, 0.0590664167211137, 0.15693170843984594, -0.09665699115192349, -0.06679807591506026, 0.47096412141214716, -0.08063191917132248, -0.3641238954256881, 0.10441155487840825, -0.13583205156028272, -0.21783488714559512, 0.06755069089545444, 0.09150992174717514, 0.12175244709307498, -0.1370047833093188, 0.15370258104733445, -0.00787874392487786, 0.14287299264899708, 0.12732918125323273, 0.03657482946079902, 0.19432828223163431, 0.035447652502493425, 0.05421722673345357, 0.09256193644621155, -0.0282854171639139, -0.11518517391417514, -0.4414364883168177, -0.11643080721524629, -0.13323755518279293, 0.12458863290217281, -0.038733439139005815, -0.11916032668880441, 0.35029224143786863, 0.15079534218053925, 0.1782092998904938, 0.019254048778252167, 0.26335505131970754, 0.14677500779084354, 0.11173325516283512, 0.10487224795770916, 0.2601709863340313, 0.14328137707727198, 0.05374558722939004, -0.2240338040431115, -0.028508043263784862, 0.1273800834928724] |
707.2855 | Non-planar structure of analytical QCD predictions for the Gottfried sum
rule | It is stressed that within large N_c-expansion {\bf analytical calculations}
of the $(\alpha_s/\pi)^2$ QCD contributions to the valence part of the
Gottfried sum rule for F_2 structure function of charged leptons-nucleon
deep-inelastic scattering reveals the existence of the $O(1/N_c^2)$ {\bf
non-planar} corrections only and the disappearance of the {\bf planar} O(N_c^0)
perturbative terms. The relation between Gottfried and Adler sum rule for
neutino-nucleon DIS is established and the proposal that the differebce between
corresponding QCD corrections to higher non-singlet moments in charged-lepton
and neutrino DIS are {\bf suppressed by 1/N_c^2} is made. The possible
consequence of the cancellation of {\bf perturbative planar} graphs in the
considered perturbative series, namely the existence of light-quark flavour
asymmetry $\bar{u}(x)<\bar{d}(x)$, is mentioned. The effect of the similar
origin, i.e. the relation of {\bf ``light-by-light-type''-type structure} in
DIS characteristics at the $\alpha_s^3$-level to the generation of light
quark-antiquark asymmetry, is also commented.
| hep-ph hep-ex hep-th | it is stressed that within large n_cexpansion bf analytical calculations of the alpha_spi2 qcd contributions to the valence part of the gottfried sum rule for f_2 structure function of charged leptonsnucleon deepinelastic scattering reveals the existence of the o1n_c2 bf nonplanar corrections only and the disappearance of the bf planar on_c0 perturbative terms the relation between gottfried and adler sum rule for neutinonucleon dis is established and the proposal that the differebce between corresponding qcd corrections to higher nonsinglet moments in chargedlepton and neutrino dis are bf suppressed by 1n_c2 is made the possible consequence of the cancellation of bf perturbative planar graphs in the considered perturbative series namely the existence of lightquark flavour asymmetry baruxbardx is mentioned the effect of the similar origin ie the relation of bf lightbylighttypetype structure in dis characteristics at the alpha_s3level to the generation of light quarkantiquark asymmetry is also commented | [['it', 'is', 'stressed', 'that', 'within', 'large', 'n_cexpansion', 'bf', 'analytical', 'calculations', 'of', 'the', 'alpha_spi2', 'qcd', 'contributions', 'to', 'the', 'valence', 'part', 'of', 'the', 'gottfried', 'sum', 'rule', 'for', 'f_2', 'structure', 'function', 'of', 'charged', 'leptonsnucleon', 'deepinelastic', 'scattering', 'reveals', 'the', 'existence', 'of', 'the', 'o1n_c2', 'bf', 'nonplanar', 'corrections', 'only', 'and', 'the', 'disappearance', 'of', 'the', 'bf', 'planar', 'on_c0', 'perturbative', 'terms', 'the', 'relation', 'between', 'gottfried', 'and', 'adler', 'sum', 'rule', 'for', 'neutinonucleon', 'dis', 'is', 'established', 'and', 'the', 'proposal', 'that', 'the', 'differebce', 'between', 'corresponding', 'qcd', 'corrections', 'to', 'higher', 'nonsinglet', 'moments', 'in', 'chargedlepton', 'and', 'neutrino', 'dis', 'are', 'bf', 'suppressed', 'by', '1n_c2', 'is', 'made', 'the', 'possible', 'consequence', 'of', 'the', 'cancellation', 'of', 'bf', 'perturbative', 'planar', 'graphs', 'in', 'the', 'considered', 'perturbative', 'series', 'namely', 'the', 'existence', 'of', 'lightquark', 'flavour', 'asymmetry', 'baruxbardx', 'is', 'mentioned', 'the', 'effect', 'of', 'the', 'similar', 'origin', 'ie', 'the', 'relation', 'of', 'bf', 'lightbylighttypetype', 'structure', 'in', 'dis', 'characteristics', 'at', 'the', 'alpha_s3level', 'to', 'the', 'generation', 'of', 'light', 'quarkantiquark', 'asymmetry', 'is', 'also', 'commented']] | [-0.12827448488427526, 0.1647628211247125, -0.058760887599824896, 0.11819713408036975, -0.06367401854074795, -0.028848057240080223, 0.06481805019308444, 0.3079577967283323, -0.21497407363955495, -0.21035857943536565, -0.011191140373719842, -0.309485839545834, -0.08366412311191872, 0.09477463141318224, 0.07222210936057348, 0.03209790940858799, -0.017781070725014097, 0.0064153133978625, -0.09303180016295366, -0.23611712155665987, 0.32772331461712395, 0.01656481185458976, 0.29031034886314394, 0.17572097313798052, 0.054430920905400096, 0.052048419623990816, -0.08174126158073115, -0.056760899421068836, -0.075331132444105, 0.06721589585645593, 0.2251331461526507, 0.04076217013752932, 0.08272245502528205, -0.3680995410482446, -0.08724303879245794, 0.06824164314986132, 0.11737244022447321, 0.0676880491719072, 0.03145359712485358, -0.26046405492095853, 0.09010891290716559, -0.18200583471883114, -0.14076183494783456, -0.10588378990538043, 0.048550648273055934, -0.026572252054223054, -0.3316935162443547, 0.13931020003849834, 0.037114751143314, -0.015591995974488827, -0.0014432972806284754, -0.19434265066072237, -0.0738003985862509, 0.07830725793840645, 0.12508579234847222, 0.09997352106804899, 0.06291577070005064, -0.19084980257279274, -0.15064757688493607, 0.4186842188493704, -0.02162778427784177, -0.15086488313503937, 0.09033672335698344, -0.23140018896648673, -0.12518836729724309, 0.11049458714915614, 0.13065686272524243, 0.10176513197671844, -0.15306286034157512, 0.15665528438013823, -0.07051115190080977, 0.09206999521434521, 0.11476360187738491, 0.042215989721711165, 0.1943389368344018, 0.12636609007637922, -0.0342382178943363, 0.06289974352840683, -0.06802441069534679, -0.11606272143896387, -0.42978519258900083, -0.06932654653855083, -0.15420874877558124, 0.09458208992815972, -0.08130386164839037, -0.16002764083150264, 0.3645350382535169, 0.08395386477530324, 0.1873594949946558, 0.0032024844985106865, 0.2677331640780401, 0.11985846452763398, 0.07707022697323089, 0.06161554773311338, 0.3020528561315037, 0.21312216017730265, 0.10442824945949468, -0.29684597246261757, 0.0252831605825868, 0.11923717601532988] |
707.2856 | The Oxygen Abundance of Nearby Galaxies from Sloan Digital Sky Survey
Spectra | We have derived the oxygen abundance for a sample of nearby galaxies in the
Data Release 5 of the Sloan Digital Sky Survey (SDSS) which possess at least
two independent spectra of one or several HII regions with a detected
[OIII]4363 auroral line. Since, for nearby galaxies, the [OII]3727 nebular line
is out of the observed wavelength range, we propose a method to derive (O/H)_ff
abundances using the classic Te method coupled with the ff relation. (O/H)_7325
abundances have also been determined, based on the [OII]7320,7330 line
intensities, and using a small modification of the standard Te method. The
(O/H)_ff and (O/H)_7325 abundances have been derived with both the one- and
two-dimensional t_2 - t_3 relations. It was found that the (O/H)_ff abundances
derived with the parametric two-dimensional t_2 - t_3 relation are most
reliable. Oxygen abundances have been determined in 29 nearby galaxies, based
on 84 individual abundance determinations in HII regions. Because of our
selection methods, the metallicity of our galaxies lies in the narrow range 8.2
< 12 + log (O/H) < 8.4. The radial distribution of oxygen abundances in the
disk of the spiral galaxy NGC 4490 is determined for the first time.
| astro-ph | we have derived the oxygen abundance for a sample of nearby galaxies in the data release 5 of the sloan digital sky survey sdss which possess at least two independent spectra of one or several hii regions with a detected oiii4363 auroral line since for nearby galaxies the oii3727 nebular line is out of the observed wavelength range we propose a method to derive oh_ff abundances using the classic te method coupled with the ff relation oh_7325 abundances have also been determined based on the oii73207330 line intensities and using a small modification of the standard te method the oh_ff and oh_7325 abundances have been derived with both the one and twodimensional t_2 t_3 relations it was found that the oh_ff abundances derived with the parametric twodimensional t_2 t_3 relation are most reliable oxygen abundances have been determined in 29 nearby galaxies based on 84 individual abundance determinations in hii regions because of our selection methods the metallicity of our galaxies lies in the narrow range 82 12 log oh 84 the radial distribution of oxygen abundances in the disk of the spiral galaxy ngc 4490 is determined for the first time | [['we', 'have', 'derived', 'the', 'oxygen', 'abundance', 'for', 'a', 'sample', 'of', 'nearby', 'galaxies', 'in', 'the', 'data', 'release', '5', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'which', 'possess', 'at', 'least', 'two', 'independent', 'spectra', 'of', 'one', 'or', 'several', 'hii', 'regions', 'with', 'a', 'detected', 'oiii4363', 'auroral', 'line', 'since', 'for', 'nearby', 'galaxies', 'the', 'oii3727', 'nebular', 'line', 'is', 'out', 'of', 'the', 'observed', 'wavelength', 'range', 'we', 'propose', 'a', 'method', 'to', 'derive', 'oh_ff', 'abundances', 'using', 'the', 'classic', 'te', 'method', 'coupled', 'with', 'the', 'ff', 'relation', 'oh_7325', 'abundances', 'have', 'also', 'been', 'determined', 'based', 'on', 'the', 'oii73207330', 'line', 'intensities', 'and', 'using', 'a', 'small', 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0.07243459188088618, -0.2557063159950462, 0.0935883050607074, 0.05365994778121748] |
707.2857 | Coronal abundances of X-ray bright pre-main sequence stars in the Taurus
Molecular Cloud | We studied the thermal properties and chemical composition of the X-ray
emitting plasma of a sample of bright members of the Taurus Molecular Cloud to
investigate possible differences among classical and weak-lined T Tauri stars
and possible dependences of the abundances on the stellar activity level and/or
on the presence of accretion/circumstellar material. We used medium-resolution
X-ray spectra obtained with the sensitive EPIC/PN camera in order to analyse
the possible sample. The PN spectra of 20 bright (L_X ~ 10^30 - 10^31 erg/s)
Taurus members, with at least ~ 4500 counts, were fitted using thermal models
of optically thin plasma with two components and variable abundances of O, Ne,
Mg, Si, S, Ar, Ca, and Fe. Extensive preliminary investigations were employed
to study the performances of the PN detectors regarding abundance
determinations, and finally to check the results of the fittings. We found that
the observed X-ray emission of the studied stars can be attributed to coronal
plasma having similar thermal properties and chemical composition both in the
classical and in the weak-lined T Tauri stars. The results of the fittings did
not show evidence for correlations of the abundance patterns with activity or
accretion/disk presence. The iron abundance of these active stars is
significantly lower than (~ 0.2 of) the solar photospheric value. An indication
of slightly different coronal properties in stars with different spectral type
is found from this study. G-type and early K-type stars have, on average,
slightly higher Fe abundances (Fe ~ 0.24 solar) with respect to stars with
later spectral type (Fe ~ 0.15 solar), confirming previous findings from
high-resolution X-ray spectroscopy; stars of the former group are also found to
have, on average, hotter coronae.
| astro-ph | we studied the thermal properties and chemical composition of the xray emitting plasma of a sample of bright members of the taurus molecular cloud to investigate possible differences among classical and weaklined t tauri stars and possible dependences of the abundances on the stellar activity level andor on the presence of accretioncircumstellar material we used mediumresolution xray spectra obtained with the sensitive epicpn camera in order to analyse the possible sample the pn spectra of 20 bright l_x 1030 1031 ergs taurus members with at least 4500 counts were fitted using thermal models of optically thin plasma with two components and variable abundances of o ne mg si s ar ca and fe extensive preliminary investigations were employed to study the performances of the pn detectors regarding abundance determinations and finally to check the results of the fittings we found that the observed xray emission of the studied stars can be attributed to coronal plasma having similar thermal properties and chemical composition both in the classical and in the weaklined t tauri stars the results of the fittings did not show evidence for correlations of the abundance patterns with activity or accretiondisk presence the iron abundance of these active stars is significantly lower than 02 of the solar photospheric value an indication of slightly different coronal properties in stars with different spectral type is found from this study gtype and early ktype stars have on average slightly higher fe abundances fe 024 solar with respect to stars with later spectral type fe 015 solar confirming previous findings from highresolution xray spectroscopy stars of the former group are also found to have on average hotter coronae | [['we', 'studied', 'the', 'thermal', 'properties', 'and', 'chemical', 'composition', 'of', 'the', 'xray', 'emitting', 'plasma', 'of', 'a', 'sample', 'of', 'bright', 'members', 'of', 'the', 'taurus', 'molecular', 'cloud', 'to', 'investigate', 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707.2858 | Spheroidal and elliptical galaxy radial velocity dispersion determined
from Cosmological General Relativity | Radial velocity dispersion in spheroidal and elliptical galaxies, as a
function of radial distance from the center of the galaxy, has been derived
from Cosmological Special Relativity. For velocity dispersions in the outer
regions of spherical galaxies, the dynamical mass calculated for a galaxy using
Carmelian theory may be 10 to 100 times less than that calculated from standard
Newtonian physics. This means there is no need to include halo dark matter. The
velocity dispersion is found to be approximately constant across the galaxy
after falling from an initial high value at the center.
| physics.gen-ph | radial velocity dispersion in spheroidal and elliptical galaxies as a function of radial distance from the center of the galaxy has been derived from cosmological special relativity for velocity dispersions in the outer regions of spherical galaxies the dynamical mass calculated for a galaxy using carmelian theory may be 10 to 100 times less than that calculated from standard newtonian physics this means there is no need to include halo dark matter the velocity dispersion is found to be approximately constant across the galaxy after falling from an initial high value at the center | [['radial', 'velocity', 'dispersion', 'in', 'spheroidal', 'and', 'elliptical', 'galaxies', 'as', 'a', 'function', 'of', 'radial', 'distance', 'from', 'the', 'center', 'of', 'the', 'galaxy', 'has', 'been', 'derived', 'from', 'cosmological', 'special', 'relativity', 'for', 'velocity', 'dispersions', 'in', 'the', 'outer', 'regions', 'of', 'spherical', 'galaxies', 'the', 'dynamical', 'mass', 'calculated', 'for', 'a', 'galaxy', 'using', 'carmelian', 'theory', 'may', 'be', '10', 'to', '100', 'times', 'less', 'than', 'that', 'calculated', 'from', 'standard', 'newtonian', 'physics', 'this', 'means', 'there', 'is', 'no', 'need', 'to', 'include', 'halo', 'dark', 'matter', 'the', 'velocity', 'dispersion', 'is', 'found', 'to', 'be', 'approximately', 'constant', 'across', 'the', 'galaxy', 'after', 'falling', 'from', 'an', 'initial', 'high', 'value', 'at', 'the', 'center']] | [-0.039066475893368306, 0.09738039597509034, -0.14663872630986316, 0.0823201580055719, -0.08900031957134444, -0.04788928459553669, -0.05682671656556708, 0.3960161568967485, -0.1932542363622336, -0.3441397570754572, 0.015525685370429069, -0.2573655826935885, 0.01123226020405049, 0.2478117620352135, 0.011872096532349906, 0.013511641434223582, 0.008714633555682276, 0.012413083699591938, -0.10963321412833388, -0.21503017735742633, 0.29452638565412453, 0.059003770258778364, 0.16243342023783475, -0.062077469252530604, 0.08276712308607755, -0.06188498414872635, -0.02976230079288124, 0.03683283382285667, -0.17818822962851877, 0.019453046883466423, 0.19934717652648287, 0.07726952626610235, 0.2745063022925689, -0.365217539812288, -0.22503266362373225, 0.08910347568872636, 0.20321409311646255, 0.1261416561200574, -0.11333444994443687, -0.29426215139407946, 0.09117053960379894, -0.19908896272110763, -0.22741051663153916, 0.09508361846649198, 0.08158456282790309, 0.004908409059768723, -0.18766496444786948, 0.23085090266390434, -0.04656656373008054, 0.069049475654479, -0.0901386316024488, -0.1325112018992083, -0.09324001124809667, 0.07357631818521568, 0.06920007242250346, 0.07968795930425968, 0.22349993071408683, -0.1296692477734459, 0.03233886791032649, 0.48326988738550936, -0.0739689409072193, -0.10074004526900988, 0.18430032077500777, -0.21754930749715817, -0.09416030093862285, 0.11728565145148745, 0.1677215875737289, 0.04393739099564251, -0.15443619490871507, 0.06360575648823312, -0.035361972917872735, 0.2099176527962329, 0.1072378101488275, -0.01536363933904482, 0.3307322807189438, 0.050131865837160616, 0.09147520707820052, 0.029306473989059688, -0.1662793761414666, -0.05786407828050595, -0.26790961553092285, -0.10471615932321035, -0.18091291062013115, 0.06154680355221674, -0.15499348070091312, -0.09442873423798911, 0.3272405672638166, 0.058520767243168445, 0.2236522576841776, 0.08069762093063834, 0.2960891807351702, 0.10997950378179511, 0.14911163868933355, 0.14351680111991222, 0.34432912027082774, 0.1709922278945845, 0.05690080844747123, -0.20713113376530268, 0.015291371267609379, 0.0017841578416165807] |
707.2859 | A Clifford analysis approach to superspace | A new framework for studying superspace is given, based on methods from
Clifford analysis. This leads to the introduction of both orthogonal and
symplectic Clifford algebra generators, allowing for an easy and canonical
introduction of a super-Dirac operator, a super-Laplace operator and the like.
This framework is then used to define a super-Hodge coderivative, which,
together with the exterior derivative, factorizes the Laplace operator. Finally
both the cohomology of the exterior derivative and the homology of the Hodge
operator on the level of polynomial-valued super-differential forms are
studied. This leads to some interesting graphical representations and provides
a better insight in the definition of the Berezin-integral.
| hep-th math-ph math.MP | a new framework for studying superspace is given based on methods from clifford analysis this leads to the introduction of both orthogonal and symplectic clifford algebra generators allowing for an easy and canonical introduction of a superdirac operator a superlaplace operator and the like this framework is then used to define a superhodge coderivative which together with the exterior derivative factorizes the laplace operator finally both the cohomology of the exterior derivative and the homology of the hodge operator on the level of polynomialvalued superdifferential forms are studied this leads to some interesting graphical representations and provides a better insight in the definition of the berezinintegral | [['a', 'new', 'framework', 'for', 'studying', 'superspace', 'is', 'given', 'based', 'on', 'methods', 'from', 'clifford', 'analysis', 'this', 'leads', 'to', 'the', 'introduction', 'of', 'both', 'orthogonal', 'and', 'symplectic', 'clifford', 'algebra', 'generators', 'allowing', 'for', 'an', 'easy', 'and', 'canonical', 'introduction', 'of', 'a', 'superdirac', 'operator', 'a', 'superlaplace', 'operator', 'and', 'the', 'like', 'this', 'framework', 'is', 'then', 'used', 'to', 'define', 'a', 'superhodge', 'coderivative', 'which', 'together', 'with', 'the', 'exterior', 'derivative', 'factorizes', 'the', 'laplace', 'operator', 'finally', 'both', 'the', 'cohomology', 'of', 'the', 'exterior', 'derivative', 'and', 'the', 'homology', 'of', 'the', 'hodge', 'operator', 'on', 'the', 'level', 'of', 'polynomialvalued', 'superdifferential', 'forms', 'are', 'studied', 'this', 'leads', 'to', 'some', 'interesting', 'graphical', 'representations', 'and', 'provides', 'a', 'better', 'insight', 'in', 'the', 'definition', 'of', 'the', 'berezinintegral']] | [-0.10109947551516633, 0.02860888872451409, -0.15027120098352945, 0.08176569905766633, -0.1565261519167061, -0.10873261130159247, -0.0130124385948019, 0.30583651243325544, -0.28686400871796935, -0.23690733434997646, 0.12752746931601353, -0.23024775739759207, -0.1928370722076472, 0.17381572746215204, -0.11534497909950932, 0.016589909833034173, 0.03605971856535796, 0.11498083549040351, -0.14981773562099346, -0.18097558526285723, 0.3816728390954143, 0.04537466887439437, 0.22884813116352057, 0.06328252572954322, 0.14629093659859077, 0.020864380140076664, -0.06600502368939273, -0.04948848956173249, -0.09790634425977866, 0.22106346013207062, 0.24088410730017165, 0.08680297520157754, 0.22677746762329823, -0.42641278173701436, -0.11258161111561325, 0.09885708981321431, 0.11803754004101981, 0.03590067543943102, -0.015380064637272381, -0.29711886097257045, 0.05082679877052536, -0.19101776578920146, -0.1240372926170262, -0.12565039004217468, -0.010232326948978738, -0.034007358694604285, -0.28882079211511086, 0.0129688479252817, 0.09353963833521395, 0.08280087554571676, -0.09009705771813077, -0.10491380663177766, -0.032331616097294236, 0.07517386103213272, -0.011052344218079074, 0.04062784964580536, 0.08189168689754225, -0.07137482580226645, -0.12084146718238938, 0.37206128546420264, -0.041306054295501764, -0.2748103888303626, 0.13210687765796833, -0.127633900959136, -0.14461920148802593, 0.05500733168685424, 0.10930747022925347, 0.13795053841336175, -0.10738720945721748, 0.17066424885735043, -0.017597765428945422, 0.08206639977003101, 0.06455082405705516, 0.006962622045630626, 0.14847444012468936, 0.11936890508513898, 0.08550009120474844, 0.16559637862476795, -0.010173178003991352, -0.13159526161411228, -0.35331225551336126, -0.24782075427070843, -0.10854585067706876, 0.059240183237182234, -0.13528876622391786, -0.1956353249923125, 0.47595827705135535, 0.11350500979004245, 0.1967705460356585, 0.07997537398021486, 0.27845919200484004, 0.17651596491900728, 0.09987604571392249, 0.04307848063534966, 0.1263043735528424, 0.2260138714028632, 0.06669149406747345, -0.15792954248586194, -0.021780593886825385, 0.15943097709860726] |
707.286 | Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions | We propose an approximation to the ground state of Yang-Mills theory,
quantized in temporal gauge and 2+1 dimensions, which satisfies the Yang-Mills
Schrodinger equation in both the free-field limit, and in a strong-field zero
mode limit. Our proposal contains a single parameter with dimensions of mass;
confinement via dimensional reduction is obtained if this parameter is
non-zero, and a non-zero value appears to be energetically preferred. A method
for numerical simulation of this vacuum state is developed. It is shown that if
the mass parameter is fixed from the known string tension in 2+1 dimensions,
the resulting mass gap deduced from the vacuum state agrees, to within a few
percent, with known results for the mass gap obtained by standard lattice Monte
Carlo methods.
| hep-lat hep-th | we propose an approximation to the ground state of yangmills theory quantized in temporal gauge and 21 dimensions which satisfies the yangmills schrodinger equation in both the freefield limit and in a strongfield zero mode limit our proposal contains a single parameter with dimensions of mass confinement via dimensional reduction is obtained if this parameter is nonzero and a nonzero value appears to be energetically preferred a method for numerical simulation of this vacuum state is developed it is shown that if the mass parameter is fixed from the known string tension in 21 dimensions the resulting mass gap deduced from the vacuum state agrees to within a few percent with known results for the mass gap obtained by standard lattice monte carlo methods | [['we', 'propose', 'an', 'approximation', 'to', 'the', 'ground', 'state', 'of', 'yangmills', 'theory', 'quantized', 'in', 'temporal', 'gauge', 'and', '21', 'dimensions', 'which', 'satisfies', 'the', 'yangmills', 'schrodinger', 'equation', 'in', 'both', 'the', 'freefield', 'limit', 'and', 'in', 'a', 'strongfield', 'zero', 'mode', 'limit', 'our', 'proposal', 'contains', 'a', 'single', 'parameter', 'with', 'dimensions', 'of', 'mass', 'confinement', 'via', 'dimensional', 'reduction', 'is', 'obtained', 'if', 'this', 'parameter', 'is', 'nonzero', 'and', 'a', 'nonzero', 'value', 'appears', 'to', 'be', 'energetically', 'preferred', 'a', 'method', 'for', 'numerical', 'simulation', 'of', 'this', 'vacuum', 'state', 'is', 'developed', 'it', 'is', 'shown', 'that', 'if', 'the', 'mass', 'parameter', 'is', 'fixed', 'from', 'the', 'known', 'string', 'tension', 'in', '21', 'dimensions', 'the', 'resulting', 'mass', 'gap', 'deduced', 'from', 'the', 'vacuum', 'state', 'agrees', 'to', 'within', 'a', 'few', 'percent', 'with', 'known', 'results', 'for', 'the', 'mass', 'gap', 'obtained', 'by', 'standard', 'lattice', 'monte', 'carlo', 'methods']] | [-0.09802761257366999, 0.17734858692652308, -0.06576971738268772, 0.04166973191369776, -0.022894904687775358, -0.1288906478646001, 0.044280811771562685, 0.3220881087341226, -0.19825169259603437, -0.29016070794915, 0.07709078573726959, -0.24905073321274213, -0.08262681445827888, 0.15588807308250258, -0.010034803610910931, 0.061665817036203316, 0.0688399814384719, 0.07487273487758132, -0.11341380748349512, -0.22088273192170046, 0.3120851363844028, 0.03661501493620416, 0.28234973861535473, 0.05267545953768516, 0.12160321123777859, -0.023876273991434924, 0.04532134076279978, 0.05156696266344478, -0.15897472643119992, 0.05706663136070053, 0.2114692613287198, 0.03545476386563912, 0.2135896248021914, -0.35911916348061734, -0.23231008582402982, 0.0684819937244268, 0.14787051312234853, 0.1661521795369129, -0.04597948078674475, -0.2790470648971912, 0.06306664753919317, -0.17141211086380925, -0.19586270556864027, -0.07341078385269934, -0.0036084595391707073, -0.0997902637708091, -0.31391292851748726, 0.13761009393267393, -0.024417215180883724, -0.015298722394471687, -0.062300248037753324, -0.12368528119048043, -0.0609091415291562, 0.06116414865133383, 0.08453725586033185, 0.08949988127419455, 0.08022182612800069, -0.1534255066978198, -0.11868342357282076, 0.38612893238032775, -0.09447922283453086, -0.22150934537902714, 0.1537686336425043, -0.16600831576638045, -0.09850964477218146, 0.15292002993725962, 0.05952997943536649, 0.1320508533897209, -0.11480887045693253, 0.15901642233638408, -0.04662284139363516, 0.22005838559820287, 0.04844708642509255, -0.013910420069981727, 0.2031499994918704, 0.16354932988460566, 0.05665165209211409, 0.11698836559944245, -0.08684344017773026, -0.16235185739013455, -0.3334767860510657, -0.1173111301595195, -0.20694945625760855, 0.09113517753975166, -0.10732210143208748, -0.15928569204204965, 0.3400484721266454, 0.14605207045725924, 0.1787118834721285, 0.04700688006930925, 0.27100152484021117, 0.17895225437091394, 0.0625695660635228, 0.07861087551892494, 0.28696510342941167, 0.16602617134753195, 0.07989139211994986, -0.2347495568908691, -0.06465194637571732, 0.120769614218584] |
707.2861 | Soliton oscillations in collisionally inhomogeneous attractive
Bose-Einstein condensates | We investigate bright matter-wave solitons in the presence of a spatially
varying nonlinearity. It is demonstrated that a translation mode is excited due
to the spatial inhomogeneity and its frequency is derived analytically and also
studied numerically. Both cases of purely one-dimensional and ``cigar-shaped''
condensates are studied by means of different mean-field models, and the
oscillation frequencies of the pertinent solitons are found and compared with
the results obtained by the linear stability analysis.Numerical results are
shown to be in very good agreement with the corresponding analytical
predictions.
| cond-mat.other | we investigate bright matterwave solitons in the presence of a spatially varying nonlinearity it is demonstrated that a translation mode is excited due to the spatial inhomogeneity and its frequency is derived analytically and also studied numerically both cases of purely onedimensional and cigarshaped condensates are studied by means of different meanfield models and the oscillation frequencies of the pertinent solitons are found and compared with the results obtained by the linear stability analysisnumerical results are shown to be in very good agreement with the corresponding analytical predictions | [['we', 'investigate', 'bright', 'matterwave', 'solitons', 'in', 'the', 'presence', 'of', 'a', 'spatially', 'varying', 'nonlinearity', 'it', 'is', 'demonstrated', 'that', 'a', 'translation', 'mode', 'is', 'excited', 'due', 'to', 'the', 'spatial', 'inhomogeneity', 'and', 'its', 'frequency', 'is', 'derived', 'analytically', 'and', 'also', 'studied', 'numerically', 'both', 'cases', 'of', 'purely', 'onedimensional', 'and', 'cigarshaped', 'condensates', 'are', 'studied', 'by', 'means', 'of', 'different', 'meanfield', 'models', 'and', 'the', 'oscillation', 'frequencies', 'of', 'the', 'pertinent', 'solitons', 'are', 'found', 'and', 'compared', 'with', 'the', 'results', 'obtained', 'by', 'the', 'linear', 'stability', 'analysisnumerical', 'results', 'are', 'shown', 'to', 'be', 'in', 'very', 'good', 'agreement', 'with', 'the', 'corresponding', 'analytical', 'predictions']] | [-0.13055416348359505, 0.12896219090071517, -0.05374211769807955, 0.09116717018909624, 0.0031326189262514143, -0.14891512646478997, -0.02292761066393263, 0.41159364463354664, -0.20301010540483155, -0.26188713523034735, 0.1016770979073755, -0.2585749745237823, -0.1436131341307927, 0.2232499472721983, 0.020922340474080765, 0.07095899483478017, 0.05069380255159119, 0.007678847861658225, -0.01398823671203492, -0.21628466619435568, 0.3046128797591075, 0.041950873366888915, 0.3181318382106336, 0.03621174679298339, 0.050723251067744245, -0.07041793636142693, -0.030430709675553887, 0.052841830146431235, -0.16951068693374874, 0.0798731376577554, 0.21008922399113514, -0.014641065676375452, 0.2079027846091609, -0.418022222752715, -0.2363083752450244, 0.0611994876686869, 0.1841363796305939, 0.1817350596639103, -0.0535522070673198, -0.3522702496413184, 0.06839182266387446, -0.11896080184385352, -0.18673911157610087, -0.1257667233096971, 0.028870524367553062, 0.09951007315064726, -0.2643958911454926, 0.11388994820767896, 0.03201552740587243, 0.03537949777861265, -0.10021970554485103, -0.05595849817297582, -0.0673493489451792, 0.06937110559993434, 0.06496602860853931, -0.013747409055673185, 0.046726200012383104, -0.13409789241101036, -0.08343178357650664, 0.407450907307024, -0.10850738663354824, -0.21012106280902337, 0.22669943137597506, -0.14284208073312865, -0.005323107330257009, 0.12243203091938262, 0.10124114802877965, 0.09960023937318688, -0.12125815283480347, 0.048434372549079056, -0.03502876546512219, 0.17358916848810957, 0.11197826388859372, 0.05322874238874814, 0.1955707449166254, 0.16201717761912565, -0.03041856236696971, 0.16826881810182429, -0.07609390321819262, -0.14828895222417068, -0.2341469184698901, -0.027929478539046884, -0.18237154394617014, -0.038656923866391864, -0.0585437424073796, -0.09185459522695023, 0.4146815849810667, 0.08817598552325334, 0.2023293644045319, 0.025085506462973767, 0.2755554911155982, 0.1964598617505753, 0.01492266466134581, 0.0518767189170266, 0.32257130943324375, 0.19410401519023995, 0.08509494476930249, -0.2729005910638163, -0.010547489083061615, -0.02129376455659753] |
707.2862 | Fundamental solutions for the super Laplace and Dirac operators and all
their natural powers | The fundamental solutions of the super Dirac and Laplace operators and their
natural powers are determined within the framework of Clifford analysis.
| math.AP hep-th | the fundamental solutions of the super dirac and laplace operators and their natural powers are determined within the framework of clifford analysis | [['the', 'fundamental', 'solutions', 'of', 'the', 'super', 'dirac', 'and', 'laplace', 'operators', 'and', 'their', 'natural', 'powers', 'are', 'determined', 'within', 'the', 'framework', 'of', 'clifford', 'analysis']] | [-0.10306659036061981, 0.1101481814614751, -0.02450180561705069, 0.09947447817433965, -0.05552110110875219, -0.06956792140210216, 0.03472022686830976, 0.2939789594913071, -0.2858173765919425, -0.28023945447057486, 0.14982228192754768, -0.2824463028968735, -0.19117429725487123, 0.19986435275694187, -0.015207417277534578, 0.11560678359290416, -0.004078479526056485, 0.09012853809293699, -0.16142636266621677, -0.15362626428461887, 0.41096988862211054, 0.012519518506120552, 0.26317332608794625, 0.024183915166014976, 0.07473552849313075, -0.023359961236234416, -0.10203940978019753, -0.06818720037964257, -0.050841461697762665, 0.23514969071204012, 0.20160963792692532, 0.11924899919805201, 0.21798127330839634, -0.4571677158502015, -0.13130215720527552, 0.08095942945642905, 0.1598803393161771, -0.03542530485852198, -0.007058361629870805, -0.3277862335936251, 0.10611472371965647, -0.10404385837980291, -0.17403444537723606, -0.1233219135213982, -0.0010774693536487493, -0.0015758620575070381, -0.21844876218925824, 0.06256532347337766, 0.09182267805392091, 0.05948841664940119, -0.11735398523424836, -0.1256933104754849, -0.04042558951980688, 0.11507185459644957, 0.016911992295221848, -0.11334885680116713, 0.10404778051782738, -0.10122826073149388, -0.1463135409761559, 0.45130129327828233, -0.017642631195485592, -0.23284217738943302, 0.12702486257661472, -0.18963522125374188, -0.07324250209653242, 0.02777594734321941, 0.13320945802314038, 0.19255502403459765, -0.14476625037125565, 0.198128889224873, -0.048325730953365564, 0.026919157752259212, 0.1082631279185245, 0.0705051756971939, 0.1959431731904095, 0.10115192699330774, 0.03257265564223582, 0.036585797809741714, -0.0026036536490375347, -0.13225037986624308, -0.36119714785705914, -0.17558024696667085, -0.13751007286323744, 0.02357340523105284, -0.1697235556560124, -0.1585558346388015, 0.4719785147092559, 0.029563376468352297, 0.14806636655703187, 0.029281604823402384, 0.21638578667559408, 0.26746299845928495, 0.08879106545778499, 0.07450027691877702, 0.18404309265315533, 0.25100761728191917, 0.08675673900341446, -0.21837836588648232, -0.10130001270127567, 0.13990448279814285] |
707.2863 | Hermite and Gegenbauer polynomials in superspace using Clifford analysis | The Clifford-Hermite and the Clifford-Gegenbauer polynomials of standard
Clifford analysis are generalized to the new framework of Clifford analysis in
superspace in a merely symbolic way. This means that one does not a priori need
an integration theory in superspace. Furthermore a lot of basic properties,
such as orthogonality relations, differential equations and recursion formulae
are proven. Finally, an interesting physical application of the super
Clifford-Hermite polynomials is discussed, thus giving an interpretation to the
super-dimension.
| hep-th math.CA | the cliffordhermite and the cliffordgegenbauer polynomials of standard clifford analysis are generalized to the new framework of clifford analysis in superspace in a merely symbolic way this means that one does not a priori need an integration theory in superspace furthermore a lot of basic properties such as orthogonality relations differential equations and recursion formulae are proven finally an interesting physical application of the super cliffordhermite polynomials is discussed thus giving an interpretation to the superdimension | [['the', 'cliffordhermite', 'and', 'the', 'cliffordgegenbauer', 'polynomials', 'of', 'standard', 'clifford', 'analysis', 'are', 'generalized', 'to', 'the', 'new', 'framework', 'of', 'clifford', 'analysis', 'in', 'superspace', 'in', 'a', 'merely', 'symbolic', 'way', 'this', 'means', 'that', 'one', 'does', 'not', 'a', 'priori', 'need', 'an', 'integration', 'theory', 'in', 'superspace', 'furthermore', 'a', 'lot', 'of', 'basic', 'properties', 'such', 'as', 'orthogonality', 'relations', 'differential', 'equations', 'and', 'recursion', 'formulae', 'are', 'proven', 'finally', 'an', 'interesting', 'physical', 'application', 'of', 'the', 'super', 'cliffordhermite', 'polynomials', 'is', 'discussed', 'thus', 'giving', 'an', 'interpretation', 'to', 'the', 'superdimension']] | [-0.11392130734480145, 0.05689604397919443, -0.10465194411134641, 0.10479504778662599, -0.15763945409439897, -0.12132940216504626, 0.0005427251775185333, 0.30645549527712557, -0.29339836709397404, -0.25202864832489896, 0.12091306378409315, -0.22277557602348297, -0.23542808148225672, 0.22419168057508373, -0.12786962578109906, 0.07335131315171327, 0.0030961389114197934, 0.045838423091673144, -0.14590176646398553, -0.2346531293771573, 0.30763055526921035, 0.039717641547261005, 0.22431626271971158, 0.01684857520127767, 0.1034914214580663, 0.010577691216511946, -0.04350883686473887, -0.03550644539982865, -0.0870662655863845, 0.16242673779274092, 0.25569188585627434, 0.16311597922130636, 0.21689412321919868, -0.42416050160107643, -0.15448748865654985, 0.08278666261130159, 0.19970486965030432, 0.08171520392084188, -0.03095839417686588, -0.2594076292282951, 0.036962142189670553, -0.18082204076850567, -0.1927917202946877, -0.16999937602208534, 0.02549569665049938, -0.030631906953395197, -0.23549485941245957, 0.013398351356093036, 0.1096621833398546, 0.11781406648898203, -0.03517716748970806, -0.09412131308712751, -0.020316782456479575, 0.06874023407918255, -0.01127101879070611, -0.013227750161221545, 0.05880530051715476, -0.0902686974119493, -0.15113188274278255, 0.34820794066610306, 0.010051595191869541, -0.28188409881764337, 0.13956124668076977, -0.11556928205965578, -0.20485733330286549, 0.0542344523848059, 0.08491330883024555, 0.1182615005925886, -0.19115987258326067, 0.1260969633294735, -0.07819042342567914, 0.13418575033153357, 0.09136818561359848, 0.0511133600850467, 0.16625220076438332, 0.06956719762743696, 0.027357713785022497, 0.10190184247729026, 0.05255116291319657, -0.11988450020956072, -0.40184853426916034, -0.2314576939005699, -0.11359534929751565, 0.07115679586594954, -0.1412687307437361, -0.18209362542256713, 0.37132502724661637, 0.10553316036729436, 0.14651450050357534, 0.04662141186724368, 0.28136182206339744, 0.19008850827843785, 0.07627447324155487, 0.015773684981181042, 0.1812705618672465, 0.22818433286279047, 0.08643781578403402, -0.11880466583993678, -0.005992415471394595, 0.15431515673040658] |
707.2864 | Search for the lightest scalar top quark in events with two leptons in
p-pbar collisions at sqrt(s) = 1.96 TeV | Data collected by the D0 detector at a p-pbar center-of-mass energy of 1.96
TeV at the Fermilab Tevatron Collider have been used to search for pair
production of the lightest supersymmetric partner of the top quark decaying
into $b \ell \tilde{\nu}$. The search is performed in the $\ell\ell' = e\mu$
and $\mu \mu$ final states. No evidence for this process has been found in data
samples of approximately 400 pb^-1. The domain in the
[$M(\tilde{t}_1),M(\tilde{\nu})$] plane excluded at the 95% C.L. is
substantially extended by this search.
| hep-ex | data collected by the d0 detector at a ppbar centerofmass energy of 196 tev at the fermilab tevatron collider have been used to search for pair production of the lightest supersymmetric partner of the top quark decaying into b ell tildenu the search is performed in the ellell emu and mu mu final states no evidence for this process has been found in data samples of approximately 400 pb1 the domain in the mtildet_1mtildenu plane excluded at the 95 cl is substantially extended by this search | [['data', 'collected', 'by', 'the', 'd0', 'detector', 'at', 'a', 'ppbar', 'centerofmass', 'energy', 'of', '196', 'tev', 'at', 'the', 'fermilab', 'tevatron', 'collider', 'have', 'been', 'used', 'to', 'search', 'for', 'pair', 'production', 'of', 'the', 'lightest', 'supersymmetric', 'partner', 'of', 'the', 'top', 'quark', 'decaying', 'into', 'b', 'ell', 'tildenu', 'the', 'search', 'is', 'performed', 'in', 'the', 'ellell', 'emu', 'and', 'mu', 'mu', 'final', 'states', 'no', 'evidence', 'for', 'this', 'process', 'has', 'been', 'found', 'in', 'data', 'samples', 'of', 'approximately', '400', 'pb1', 'the', 'domain', 'in', 'the', 'mtildet_1mtildenu', 'plane', 'excluded', 'at', 'the', '95', 'cl', 'is', 'substantially', 'extended', 'by', 'this', 'search']] | [-0.043389767042005103, 0.2164757223909392, -0.07852126115604359, 0.1277628221639187, -0.022166775345035337, -0.14313473722842687, 0.07138485568027725, 0.29711308545323417, -0.1656666661229204, -0.349702947455294, 0.014791411143618033, -0.39694991178043626, 0.16372977762537844, 0.127661197287414, 0.162839286686743, 0.12052597853848163, 0.16014881655573845, 0.02594029077273958, 0.004038445362547303, -0.23460502201581704, 0.20426589535713635, 0.08561208352775258, 0.26339266523718835, 0.09761380429434426, 0.04990761499468456, 0.010128480335697531, -0.053660772441585056, -0.12611883817350164, -0.11333499888286871, 0.029605036926702324, 0.2588175200905158, 0.12651438163593412, 0.14120071153430377, -0.30135132263907616, -0.027764148602043005, 0.22241001731223042, 0.16630695341154933, 0.019225739882163265, -0.0836465479381492, -0.3933441534090568, 0.19560606658239574, -0.20626802124521312, -0.07230743632158812, 0.06160334301427664, 0.067285528751638, -0.1455603408462861, -0.32595395571826136, 0.07376206522800631, -0.06188861320123953, 0.1028559305896873, 0.020859957458999226, -0.26631392955725247, -0.12421236626036904, -0.07429218292784165, 0.060936646313776315, 0.12168477122288417, 0.16503550318234106, -0.10684293895850287, -0.2385742287425434, 0.3266252922222895, -0.07647072439465452, -0.15504935421597432, 0.21398511763785363, -0.21360974986215725, -0.10835091471672058, 0.21281924745177522, 0.3039782550514621, 0.05037114718819366, -0.28302180234561947, 0.2042569246574524, -0.0021182360565837693, 0.18735821029883534, 0.11279013997272533, 0.005375629599096582, 0.23183369143482516, 0.25240106360219855, 0.024127383752013832, 0.09412034878178555, -0.1790084871079992, -0.02225779639557004, -0.44741006204310585, -0.11411302434691392, -0.11634375320007916, 0.03351526074933217, 0.01409492395725786, 0.01189322987680926, 0.378936507892521, 0.062633087087135, 0.30492933204068856, -0.028119023801649316, 0.22774156324620196, 0.08561049927135601, 0.10398988043581245, 0.06652157327266382, 0.3377670340678271, 0.06057623846675543, 0.20166116587488966, -0.21373156015487277, -0.0018738707308383548, 0.009678325539126115] |
707.2865 | A Chandra study of particle acceleration in the multiple hotspots of
nearby radio galaxies | We present Chandra observations of a small sample of nearby classical double
radio galaxies which have more than one radio hotspot in at least one of their
lobes. The X-ray emission from the hotspots of these comparatively low-power
objects is expected to be synchrotron in origin, and therefore to provide
information about the locations of high-energy particle acceleration. In some
models of the relationship between the jet and hotspot the hotspots that are
not the current jet termination point should be detached from the energy supply
from the active nucleus and therefore not capable of accelerating particles to
high energies. We find that in fact some secondary hotspots are X-ray sources,
and thus probably locations for high-energy particle acceleration after the
initial jet termination shock. In detail, though, we show that the spatial
structures seen in X-ray are not consistent with naive expectations from a
simple shock model: the current locations of the acceleration of the
highest-energy observable particles in powerful radio galaxies need not be
coincident with the peaks of radio or even optical emission.
| astro-ph | we present chandra observations of a small sample of nearby classical double radio galaxies which have more than one radio hotspot in at least one of their lobes the xray emission from the hotspots of these comparatively lowpower objects is expected to be synchrotron in origin and therefore to provide information about the locations of highenergy particle acceleration in some models of the relationship between the jet and hotspot the hotspots that are not the current jet termination point should be detached from the energy supply from the active nucleus and therefore not capable of accelerating particles to high energies we find that in fact some secondary hotspots are xray sources and thus probably locations for highenergy particle acceleration after the initial jet termination shock in detail though we show that the spatial structures seen in xray are not consistent with naive expectations from a simple shock model the current locations of the acceleration of the highestenergy observable particles in powerful radio galaxies need not be coincident with the peaks of radio or even optical emission | [['we', 'present', 'chandra', 'observations', 'of', 'a', 'small', 'sample', 'of', 'nearby', 'classical', 'double', 'radio', 'galaxies', 'which', 'have', 'more', 'than', 'one', 'radio', 'hotspot', 'in', 'at', 'least', 'one', 'of', 'their', 'lobes', 'the', 'xray', 'emission', 'from', 'the', 'hotspots', 'of', 'these', 'comparatively', 'lowpower', 'objects', 'is', 'expected', 'to', 'be', 'synchrotron', 'in', 'origin', 'and', 'therefore', 'to', 'provide', 'information', 'about', 'the', 'locations', 'of', 'highenergy', 'particle', 'acceleration', 'in', 'some', 'models', 'of', 'the', 'relationship', 'between', 'the', 'jet', 'and', 'hotspot', 'the', 'hotspots', 'that', 'are', 'not', 'the', 'current', 'jet', 'termination', 'point', 'should', 'be', 'detached', 'from', 'the', 'energy', 'supply', 'from', 'the', 'active', 'nucleus', 'and', 'therefore', 'not', 'capable', 'of', 'accelerating', 'particles', 'to', 'high', 'energies', 'we', 'find', 'that', 'in', 'fact', 'some', 'secondary', 'hotspots', 'are', 'xray', 'sources', 'and', 'thus', 'probably', 'locations', 'for', 'highenergy', 'particle', 'acceleration', 'after', 'the', 'initial', 'jet', 'termination', 'shock', 'in', 'detail', 'though', 'we', 'show', 'that', 'the', 'spatial', 'structures', 'seen', 'in', 'xray', 'are', 'not', 'consistent', 'with', 'naive', 'expectations', 'from', 'a', 'simple', 'shock', 'model', 'the', 'current', 'locations', 'of', 'the', 'acceleration', 'of', 'the', 'highestenergy', 'observable', 'particles', 'in', 'powerful', 'radio', 'galaxies', 'need', 'not', 'be', 'coincident', 'with', 'the', 'peaks', 'of', 'radio', 'or', 'even', 'optical', 'emission']] | [-0.061208831624588296, 0.15375128361020787, -0.08482162517347289, 0.13921826860843628, -0.10475815316154198, -0.11334090150987984, 0.0437095543139466, 0.46580798335542734, -0.22509895101591776, -0.3091348976489495, 0.06699405270178845, -0.2865994968134063, -0.02086013671545185, 0.22195256913520015, 0.004456245774318549, -0.06137283442016765, 0.05011002345418092, -0.030420965504328542, -0.0036554755273424566, -0.16768121589583726, 0.28638179806611413, 0.15184850772460445, 0.21172479377128184, 0.0329395569735673, 0.054544937127502635, -0.07157083234712693, -0.04044952152550898, 0.013481919629240028, -0.026029725406880807, 0.0780612744625118, 0.2446222698896773, 0.11480054371548415, 0.19413007990012623, -0.46370720439464014, -0.24193630350584333, 0.08559714011922055, 0.18488783205049747, 0.048026542230383544, -0.06808130736424739, -0.23833928002171556, 0.09462416281034662, -0.18107281782034657, -0.18293980979995633, 0.08331736614821818, 0.0019719478785356678, 0.079017345743275, -0.18412855532530806, 0.11749673605134542, 0.02042760717944764, 0.03767970791192387, -0.09210611497771672, -0.04637061569585719, -0.017949924304213546, 0.08140874439347746, 0.08093382220315769, 0.036383382573231676, 0.1762811310208318, -0.16792260806753553, -0.12803747016005218, 0.38826283726798877, 0.023190010556887006, -0.058372806532795286, 0.25132213377020723, -0.2572425385111604, -0.17381116611068137, 0.21576137491501868, 0.14465860257173932, 0.09530659461266953, -0.14000240988521415, -0.026423921569155275, -0.00787586023480716, 0.1635208514432055, 0.04749419709365942, 0.08420425733625465, 0.32339204066242516, 0.10521045489175859, 0.04855274622175123, 0.11405335856530159, -0.21563176926098426, -0.015798538215511308, -0.29772571464127395, -0.08483994599505836, -0.1532632200647971, 0.06427790238343402, -0.10288874986178019, -0.1299594300425352, 0.38018470599424536, 0.12677064847660155, 0.20653390595742332, 0.009554734205514913, 0.33105729512912646, 0.07976833684369922, 0.07991043477853634, 0.17170021550026088, 0.3177967589915418, 0.07613955430728807, 0.10787682562262159, -0.18077435124855998, 0.08186460425018925, -0.014958998360353607] |
707.2866 | Magnetic-glassy multicritical behavior of the three-dimensional +- J
Ising model | We consider the three-dimensional $\pm J$ model defined on a simple cubic
lattice and study its behavior close to the multicritical Nishimori point where
the paramagnetic-ferromagnetic, the paramagnetic-glassy, and the
ferromagnetic-glassy transition lines meet in the T-p phase diagram (p
characterizes the disorder distribution and gives the fraction of ferromagnetic
bonds). For this purpose we perform Monte Carlo simulations on cubic lattices
of size $L\le 32$ and a finite-size scaling analysis of the numerical results.
The magnetic-glassy multicritical point is found at $p^*=0.76820(4)$, along the
Nishimori line given by $2p-1={\rm Tanh}(J/T)$. We determine the
renormalization-group dimensions of the operators that control the
renormalization-group flow close to the multicritical point, $y_1 = 1.02(5)$,
$y_2 = 0.61(2)$, and the susceptibility exponent $\eta = -0.114(3)$. The
temperature and crossover exponents are $\nu=1/y_2=1.64(5)$ and $\phi=y_1/y_2 =
1.67(10)$, respectively. We also investigate the model-A dynamics, obtaining
the dynamic critical exponent $z = 5.0(5)$.
| cond-mat.dis-nn | we consider the threedimensional pm j model defined on a simple cubic lattice and study its behavior close to the multicritical nishimori point where the paramagneticferromagnetic the paramagneticglassy and the ferromagneticglassy transition lines meet in the tp phase diagram p characterizes the disorder distribution and gives the fraction of ferromagnetic bonds for this purpose we perform monte carlo simulations on cubic lattices of size lle 32 and a finitesize scaling analysis of the numerical results the magneticglassy multicritical point is found at p0768204 along the nishimori line given by 2p1rm tanhjt we determine the renormalizationgroup dimensions of the operators that control the renormalizationgroup flow close to the multicritical point y_1 1025 y_2 0612 and the susceptibility exponent eta 01143 the temperature and crossover exponents are nu1y_21645 and phiy_1y_2 16710 respectively we also investigate the modela dynamics obtaining the dynamic critical exponent z 505 | [['we', 'consider', 'the', 'threedimensional', 'pm', 'j', 'model', 'defined', 'on', 'a', 'simple', 'cubic', 'lattice', 'and', 'study', 'its', 'behavior', 'close', 'to', 'the', 'multicritical', 'nishimori', 'point', 'where', 'the', 'paramagneticferromagnetic', 'the', 'paramagneticglassy', 'and', 'the', 'ferromagneticglassy', 'transition', 'lines', 'meet', 'in', 'the', 'tp', 'phase', 'diagram', 'p', 'characterizes', 'the', 'disorder', 'distribution', 'and', 'gives', 'the', 'fraction', 'of', 'ferromagnetic', 'bonds', 'for', 'this', 'purpose', 'we', 'perform', 'monte', 'carlo', 'simulations', 'on', 'cubic', 'lattices', 'of', 'size', 'lle', '32', 'and', 'a', 'finitesize', 'scaling', 'analysis', 'of', 'the', 'numerical', 'results', 'the', 'magneticglassy', 'multicritical', 'point', 'is', 'found', 'at', 'p0768204', 'along', 'the', 'nishimori', 'line', 'given', 'by', '2p1rm', 'tanhjt', 'we', 'determine', 'the', 'renormalizationgroup', 'dimensions', 'of', 'the', 'operators', 'that', 'control', 'the', 'renormalizationgroup', 'flow', 'close', 'to', 'the', 'multicritical', 'point', 'y_1', '1025', 'y_2', '0612', 'and', 'the', 'susceptibility', 'exponent', 'eta', '01143', 'the', 'temperature', 'and', 'crossover', 'exponents', 'are', 'nu1y_21645', 'and', 'phiy_1y_2', '16710', 'respectively', 'we', 'also', 'investigate', 'the', 'modela', 'dynamics', 'obtaining', 'the', 'dynamic', 'critical', 'exponent', 'z', '505']] | [-0.1786998961915207, 0.14112462870338383, -0.08081638036288924, 0.02948771555469755, 0.00959272108722122, -0.1740811650935725, 0.128048680120093, 0.3556715025787365, -0.21528081709573813, -0.20681204355787486, 0.06294634868990055, -0.3617405220215647, -0.12998361174092732, 0.14077293570667013, 0.07583968657640713, 0.08152389522900408, -0.06340513159075807, 0.010631719405543716, -0.12369615549516097, -0.20629528728279503, 0.28677358035415906, 0.013398960054687718, 0.2806276312409917, 0.06923063560252023, 0.02389009330834276, 0.01131545748520533, 0.034042268789455515, -0.006398331348250127, -0.2865107376011271, -0.01717388740165488, 0.19353407342243692, -0.03280534926007556, 0.15828917294685893, -0.2960556456545258, -0.17152222443152876, 0.09979505802895051, 0.14599917742410018, 0.04661218071294784, 0.016663262639400166, -0.2846456769227242, 0.07967635853770737, -0.10617251392892178, -0.19405548873713568, -0.07212615887607064, 0.007124303196392515, 0.015370443809147486, -0.2746334885356619, 0.0972284385607054, 0.039387291494195405, 0.14379121455610455, -0.0007443959090297165, -0.11731116559959072, -0.05565883627380518, 0.10338688654883299, 0.012741582082098295, 0.0826600162562339, 0.12187752336542283, -0.09838802405626185, -0.09439307367446258, 0.3764794417999356, -0.00496103943013997, -0.11760267412618679, 0.1528874149936361, -0.1919670567012337, -0.13220055621487142, 0.1661923142879352, 0.13990436422275654, 0.07856552470526795, -0.10519844614421292, 0.1192943730912863, -0.003238387241521302, 0.17556360283475336, -0.011343328271965113, -0.07035694499063538, 0.1745794976801228, 0.13222404812318822, 0.025574896227814916, 0.1534960990474621, -0.12089847288820345, -0.18528993292506235, -0.30316014781676454, -0.1275703647894689, -0.19071973288459154, 0.07465786026937969, -0.19027456536348517, -0.16143285684794298, 0.3629277337767074, 0.1725730843574959, 0.24457383287988385, 0.05864818125401678, 0.1658416518201942, 0.14421291800253505, -0.00979545182781294, 0.09703914349494666, 0.2003985198560472, 0.14630569336312713, 0.11418974744960639, -0.2869423097513123, -0.004120148718357086, 0.1313856317582951] |
707.2867 | Quadratic Deformations of Lie-Poisson Structures | In this letter, first we give a decomposition for any Lie-Poisson structure
$\pi_g$ associated to the modular vector. In particular, $\pi_g$ splits into
two compatible Lie-Poisson structures if $dim{g} \leq 3$. As an application, we
classified quadratic deformations of Lie-Poisson structures on $\mathbb R^3$ up
to linear diffeomorphisms.
| math.DG math-ph math.MP | in this letter first we give a decomposition for any liepoisson structure pi_g associated to the modular vector in particular pi_g splits into two compatible liepoisson structures if dimg leq 3 as an application we classified quadratic deformations of liepoisson structures on mathbb r3 up to linear diffeomorphisms | [['in', 'this', 'letter', 'first', 'we', 'give', 'a', 'decomposition', 'for', 'any', 'liepoisson', 'structure', 'pi_g', 'associated', 'to', 'the', 'modular', 'vector', 'in', 'particular', 'pi_g', 'splits', 'into', 'two', 'compatible', 'liepoisson', 'structures', 'if', 'dimg', 'leq', '3', 'as', 'an', 'application', 'we', 'classified', 'quadratic', 'deformations', 'of', 'liepoisson', 'structures', 'on', 'mathbb', 'r3', 'up', 'to', 'linear', 'diffeomorphisms']] | [-0.21503526521458602, 0.09803427323428575, -0.026782571687363088, 0.027248840686903957, -0.12700345161526153, -0.11760189268776837, -0.08628630209326123, 0.3799021258018911, -0.3768788605229929, -0.1675702814827673, 0.06274951817370795, -0.2342839456978254, -0.19775841039760658, 0.14778173952557458, -0.07748796010855585, -0.035426028539707964, 0.01862778242987891, 0.08977332497791697, -0.1525091299166282, -0.25207443317534245, 0.38480599542769295, -0.06509266673432042, 0.18491092739471546, -0.036437649570871145, 0.15355898050862984, 0.012098979311607158, 0.06070302818746617, 0.006259395624510944, -0.20118797173684774, 0.10428324751167868, 0.2564717723871581, 0.045718950229153656, 0.15519723168593677, -0.4100557962277283, -0.10540360855520703, 0.14371477546713626, 0.18159306479113488, 0.018825031254285324, 0.0016443304557469673, -0.26707958802580833, 0.14211432551625572, -0.16931937475843975, -0.14028906783399483, -0.11837587117527922, 0.0820253107813187, -0.06729320044784497, -0.23339783384411325, -0.0008371678995899856, 0.15320673121217018, 0.08588045734601717, -0.18903743696864694, -0.128925080265617, -0.10152912593912333, 0.044733306635559224, -0.06105884812617054, 0.06088930010446347, 0.050052881347558774, -0.027538495560293086, -0.11778606716931488, 0.46319992700591683, -0.0697115986646774, -0.28000109554462443, 0.1243596205022186, -0.09863846737425774, -0.2784107872818519, 0.1468579460439893, 0.21034746376487115, 0.09239852855292459, -0.057004685262654675, 0.1960644120311675, -0.07628636052443956, 0.09723568271147087, 0.10784852648309122, -0.02386774309949639, 0.10974170079862233, 0.08148699103670272, 0.11215213360264897, 0.14155901562965786, 0.021050180147237068, -0.046501828221759446, -0.3827642132528126, -0.20642362028593197, -0.08538327113880466, 0.17563377412200984, -0.0844882454063433, -0.16367914450044432, 0.3773022365445892, 0.014937471908827623, 0.23615624584878483, 0.08276851725531742, 0.19638277225506803, 0.08437742789343854, 0.07771598551577578, 0.07923055574065074, 0.10000557064389189, 0.2040505777889242, -0.05493304161548925, -0.11857515018588553, -0.12113851573667489, 0.1360574965753282] |
707.2868 | Constructing quantum games from non-factorizable joint probabilities | A probabilistic framework is developed that gives a unifying perspective on
both the classical and the quantum games. We suggest exploiting peculiar
probabilities involved in Einstein-Podolsky-Rosen (EPR) experiments to
construct quantum games. In our framework a game attains classical
interpretation when joint probabilities are factorizable and a quantum game
corresponds when these probabilities cannot be factorized. We analyze how
non-factorizability changes Nash equilibria in two-player games while
considering the games of Prisoner's Dilemma, Stag Hunt, and Chicken. In this
framework we find that for the game of Prisoner's Dilemma even non-factorizable
EPR joint probabilities cannot be helpful to escape from the classical outcome
of the game. For a particular version of the Chicken game, however, we find
that the two non-factorizable sets of joint probabilities, that maximally
violates the Clauser-Holt-Shimony-Horne (CHSH) sum of correlations, indeed
result in new Nash equilibria.
| quant-ph | a probabilistic framework is developed that gives a unifying perspective on both the classical and the quantum games we suggest exploiting peculiar probabilities involved in einsteinpodolskyrosen epr experiments to construct quantum games in our framework a game attains classical interpretation when joint probabilities are factorizable and a quantum game corresponds when these probabilities cannot be factorized we analyze how nonfactorizability changes nash equilibria in twoplayer games while considering the games of prisoners dilemma stag hunt and chicken in this framework we find that for the game of prisoners dilemma even nonfactorizable epr joint probabilities cannot be helpful to escape from the classical outcome of the game for a particular version of the chicken game however we find that the two nonfactorizable sets of joint probabilities that maximally violates the clauserholtshimonyhorne chsh sum of correlations indeed result in new nash equilibria | [['a', 'probabilistic', 'framework', 'is', 'developed', 'that', 'gives', 'a', 'unifying', 'perspective', 'on', 'both', 'the', 'classical', 'and', 'the', 'quantum', 'games', 'we', 'suggest', 'exploiting', 'peculiar', 'probabilities', 'involved', 'in', 'einsteinpodolskyrosen', 'epr', 'experiments', 'to', 'construct', 'quantum', 'games', 'in', 'our', 'framework', 'a', 'game', 'attains', 'classical', 'interpretation', 'when', 'joint', 'probabilities', 'are', 'factorizable', 'and', 'a', 'quantum', 'game', 'corresponds', 'when', 'these', 'probabilities', 'can', 'not', 'be', 'factorized', 'we', 'analyze', 'how', 'nonfactorizability', 'changes', 'nash', 'equilibria', 'in', 'twoplayer', 'games', 'while', 'considering', 'the', 'games', 'of', 'prisoners', 'dilemma', 'stag', 'hunt', 'and', 'chicken', 'in', 'this', 'framework', 'we', 'find', 'that', 'for', 'the', 'game', 'of', 'prisoners', 'dilemma', 'even', 'nonfactorizable', 'epr', 'joint', 'probabilities', 'can', 'not', 'be', 'helpful', 'to', 'escape', 'from', 'the', 'classical', 'outcome', 'of', 'the', 'game', 'for', 'a', 'particular', 'version', 'of', 'the', 'chicken', 'game', 'however', 'we', 'find', 'that', 'the', 'two', 'nonfactorizable', 'sets', 'of', 'joint', 'probabilities', 'that', 'maximally', 'violates', 'the', 'clauserholtshimonyhorne', 'chsh', 'sum', 'of', 'correlations', 'indeed', 'result', 'in', 'new', 'nash', 'equilibria']] | [-0.06744549807048805, 0.08082929067974183, -0.18259571593069862, 0.1879324920422642, -0.014331502671492226, -0.23232203306207524, 0.11852490635430242, 0.3724444342169462, -0.23865959154613686, -0.2446486250404929, 0.0050097351979649235, -0.24366483813587655, -0.21548371598230187, 0.0634414114723484, -0.16631669970559523, 0.0006208942661471401, 0.12335154527785085, 0.01576311830084454, 0.05030982712686643, -0.2439377788282561, 0.3620463527957017, -0.0021212144105873525, 0.25390331094410823, 0.04077944201615421, 0.08709647266048912, 0.0735609014805469, 0.04228598873481049, 0.10961430548881808, -0.11907211736819694, 0.05290301789077377, 0.3099855976905806, 0.24800927862392882, 0.35692409698105027, -0.4105346427490631, -0.13436783287436405, 0.19749516211053791, 0.1372140791987115, 0.17757774952713215, 0.002995131462184937, -0.35229744102330285, 0.03138293389103818, -0.21097958736214126, -0.052759630364491376, -0.07933539633658972, -0.03300316010705849, -0.0328105954426103, -0.3297467020980961, 0.03540145004901322, 0.04437238511180254, 0.03504092119475628, -0.028102703262054433, -0.11198439577871815, 0.024175440993305323, 0.15658180097469743, -0.02470656711664315, -0.07095341569684604, 0.11426529527892827, -0.1663040283271475, -0.29874655659845534, 0.37889020242034754, -0.04514012013476157, -0.16544995093156736, 0.11057828178840644, -0.14200005890035355, -0.15118368177720948, 0.06122981398927827, 0.10338183851080372, 0.1732152300417846, -0.12534716818254632, 0.04725344245799269, -0.1318839305618791, 0.16063685937956346, 0.06092491455488435, 0.06962061853062176, 0.18135049959631466, 0.106767735759404, 0.11646922344196561, 0.13581289022298965, -0.009329004327152321, -0.2959844219524757, -0.2930141287056584, -0.14535960578855048, -0.12761407348041254, 0.0784834258372694, -0.08303780860074793, -0.12488550840751499, 0.3297393883723792, 0.11724707131903182, 0.10540444136709504, 0.09690240768596847, 0.2301480042622656, 0.0876209386038191, -0.040581575340545135, 0.04693585806501475, 0.25221065365823303, 0.10658512028356922, 0.11311487961025472, -0.23228945830301878, 0.13218084762718343, 0.049075429625842215] |
707.2869 | Clifford Algebras and Possible Kinematics | We review Bacry and Levy-Leblond's work on possible kinematics as applied to
2-dimensional spacetimes, as well as the nine types of 2-dimensional
Cayley-Klein geometries, illustrating how the Cayley-Klein geometries give
homogeneous spacetimes for all but one of the kinematical groups. We then
construct a two-parameter family of Clifford algebras that give a unified
framework for representing both the Lie algebras as well as the kinematical
groups, showing that these groups are true rotation groups. In addition we give
conformal models for these spacetimes.
| math-ph math.MP math.RT | we review bacry and levyleblonds work on possible kinematics as applied to 2dimensional spacetimes as well as the nine types of 2dimensional cayleyklein geometries illustrating how the cayleyklein geometries give homogeneous spacetimes for all but one of the kinematical groups we then construct a twoparameter family of clifford algebras that give a unified framework for representing both the lie algebras as well as the kinematical groups showing that these groups are true rotation groups in addition we give conformal models for these spacetimes | [['we', 'review', 'bacry', 'and', 'levyleblonds', 'work', 'on', 'possible', 'kinematics', 'as', 'applied', 'to', '2dimensional', 'spacetimes', 'as', 'well', 'as', 'the', 'nine', 'types', 'of', '2dimensional', 'cayleyklein', 'geometries', 'illustrating', 'how', 'the', 'cayleyklein', 'geometries', 'give', 'homogeneous', 'spacetimes', 'for', 'all', 'but', 'one', 'of', 'the', 'kinematical', 'groups', 'we', 'then', 'construct', 'a', 'twoparameter', 'family', 'of', 'clifford', 'algebras', 'that', 'give', 'a', 'unified', 'framework', 'for', 'representing', 'both', 'the', 'lie', 'algebras', 'as', 'well', 'as', 'the', 'kinematical', 'groups', 'showing', 'that', 'these', 'groups', 'are', 'true', 'rotation', 'groups', 'in', 'addition', 'we', 'give', 'conformal', 'models', 'for', 'these', 'spacetimes']] | [-0.08720689216707216, 0.06910434278872717, -0.07013249315366328, 0.12765543721616268, -0.09948157957553055, -0.1491085956187313, -0.05525593344312924, 0.40973860985902416, -0.20835909051596221, -0.2638687644580222, 0.1266161816023537, -0.1946942750364542, -0.1685683310301189, 0.24187274009595255, -0.08206157972026303, -0.02224854625065822, -0.026152496113924378, 0.04286182317209531, -0.13349869579752818, -0.2672903687322894, 0.42536885232990046, -0.013999847263232413, 0.22330896129988762, -0.033569456886006405, 0.10937991189624531, 0.006979593631239182, -0.0331109080362661, 0.06664554770272899, -0.19183348316270774, 0.08422787148640098, 0.3070659176522325, 0.09945707972980587, 0.12671833052243814, -0.3642775730779731, -0.2149928920475923, 0.09806810002717896, 0.19260307453034153, 0.13085398376997875, -0.06307954778081278, -0.2918770975511835, 0.008880063010581645, -0.1944082805505359, -0.16809729670724236, -0.14632594803101326, 0.04347551598337041, 0.0028460963898484246, -0.16203177614833217, 0.06793628741863621, 0.0865879667143012, 0.08882909818518772, -0.12309339684322028, -0.12068249970248127, -0.04592241998761892, 0.1479965329495629, -0.0033968166414513647, -0.047672951734254516, 0.12191179886191006, -0.0447706253525902, -0.20298571831333528, 0.4165970787135267, 0.01920075315129326, -0.26219671071473377, 0.1902406967121614, -0.16815173347671347, -0.20010043021308324, 0.00993518843259438, 0.15531693093747978, 0.1629390672342964, -0.11378134442605527, 0.12903520784618513, -0.11508392964500978, -0.0012519444585833922, 0.09772676967381758, 0.04097652243427843, 0.1844557387395257, 0.07439084816724062, 0.04052725272724427, 0.15165972695068783, 0.003695352432172162, -0.057953871989970554, -0.4307701078254774, -0.1845103176871696, -0.031769486190470674, 0.0945151385413595, -0.1256667330763962, -0.20332160436110683, 0.3993593847985009, 0.0880499712928936, 0.20611095127750592, 0.11713882983404111, 0.1896576355155333, -0.01759369516077575, 0.07892984569252255, 0.0674907557374562, 0.17600181936679116, 0.2154197630034872, 0.005546967469503632, -0.08923289631437285, -0.0820517259346972, 0.12201429608401405] |
707.287 | Linear Poisson structures on R^4 | We classify all of the 4-dimensional linear Poisson structures of which the
corresponding Lie algebras can be considered as the extension by a derivation
of 3-dimensional unimodular Lie algebras. The affine Poisson structures on R^3
are totally classified.
| math.DG math-ph math.MP | we classify all of the 4dimensional linear poisson structures of which the corresponding lie algebras can be considered as the extension by a derivation of 3dimensional unimodular lie algebras the affine poisson structures on r3 are totally classified | [['we', 'classify', 'all', 'of', 'the', '4dimensional', 'linear', 'poisson', 'structures', 'of', 'which', 'the', 'corresponding', 'lie', 'algebras', 'can', 'be', 'considered', 'as', 'the', 'extension', 'by', 'a', 'derivation', 'of', '3dimensional', 'unimodular', 'lie', 'algebras', 'the', 'affine', 'poisson', 'structures', 'on', 'r3', 'are', 'totally', 'classified']] | [-0.17456468126099361, 0.06611024108899169, -0.024993995302601865, 0.07989340498553295, -0.1785077014692912, -0.12125712242222537, -0.10922915021901165, 0.3642187727811305, -0.3595993911945506, -0.18043761825385063, 0.1661408264557586, -0.19633309699987112, -0.20430538764125422, 0.17688755865061753, -0.09489685543935354, -0.09770535851681703, -0.023153849571060977, 0.16146523934347848, -0.15539170419307133, -0.3238564907867265, 0.4201818660489823, -0.012131483919036231, 0.21029663115347685, -0.09004473046546704, 0.11581444529522407, 0.00504718441516161, -0.060664279386401176, 0.08497062510516691, -0.12530571232108692, 0.09297147682426792, 0.31676189444567027, -0.00957835496305243, 0.11499388296598274, -0.3455919530977936, -0.17260359389413343, 0.16889674481200545, 0.16110964944145004, 0.031397787275062386, -0.0007449372726688651, -0.34041491915520866, 0.08445228176730636, -0.1481099449294178, -0.16358010393665418, -0.03501990783077322, 0.004387251199468186, 0.021194421784266046, -0.16494612530560085, 0.060155758585192655, 0.14883537257188245, 0.09411459791130926, -0.1713765542831664, -0.11590059008449316, -0.12227158495960266, 0.04976677383590294, -0.14713502920379765, -0.03725775375374054, 0.13872349074747609, 0.011648828408827907, -0.21883321438278808, 0.470020079887227, 0.03487587029016331, -0.31655253397643957, 0.1282196508867568, -0.15333862726478592, -0.17517598890576905, 0.12553003427915668, 0.14510589690977022, 0.11281010611472946, -0.13242889604972383, 0.240084403439572, -0.1339324572319655, -0.08246417478413175, 0.12043807588174547, -0.05380381284722764, 0.19528864931903386, 0.10935070493111484, 0.04726521661014933, 0.11255554812899056, 0.02299167841403304, -0.06072830454152273, -0.3973560970472662, -0.1666610267895617, -0.08436308992646732, 0.1880134878386008, -0.14120718258384027, -0.20905630393443922, 0.3703815307664244, 0.01420019163848146, 0.21727981273771116, 0.12267405157724984, 0.162023243151213, 0.11040006861960712, 0.15994785652544938, 0.06352293300197313, 0.11751637710135822, 0.29266107171210215, -0.06226247667923177, -0.07339424850100554, -0.10761749270176024, 0.18136458669936187] |
707.2871 | Theory of Weiss oscillations in the magnetoplasmon spectrum of Dirac
electrons in graphene | We present the collective excitations spectrum (magnetoplasmon spectrum) of
Dirac electrons in a weakly modulated single graphene layer in the presence
of a uniform magnetic field. We consider electric modulation in one-dimension
and the magnetic field applied perpendicular to graphene.We derive analytical
results for the intra-Landau band plasmon spectrum within the
self-consistent-field approach. We find Weiss oscillations in the
magnetoplasmon spectrum which is the primary focus of this work. Results are
presented for the intra-Landau band magnetoplasmon spectrum as a function of
inverse magnetic field. These results are also compared with those of
conventional 2DEG. We have found that the Weiss oscillations in the
magnetoplasmon spectrum are larger in amplitude compared to those in
conventional 2DEG for the same modulation strength, period of modulation and
electron density.
| cond-mat.mes-hall | we present the collective excitations spectrum magnetoplasmon spectrum of dirac electrons in a weakly modulated single graphene layer in the presence of a uniform magnetic field we consider electric modulation in onedimension and the magnetic field applied perpendicular to graphenewe derive analytical results for the intralandau band plasmon spectrum within the selfconsistentfield approach we find weiss oscillations in the magnetoplasmon spectrum which is the primary focus of this work results are presented for the intralandau band magnetoplasmon spectrum as a function of inverse magnetic field these results are also compared with those of conventional 2deg we have found that the weiss oscillations in the magnetoplasmon spectrum are larger in amplitude compared to those in conventional 2deg for the same modulation strength period of modulation and electron density | [['we', 'present', 'the', 'collective', 'excitations', 'spectrum', 'magnetoplasmon', 'spectrum', 'of', 'dirac', 'electrons', 'in', 'a', 'weakly', 'modulated', 'single', 'graphene', 'layer', 'in', 'the', 'presence', 'of', 'a', 'uniform', 'magnetic', 'field', 'we', 'consider', 'electric', 'modulation', 'in', 'onedimension', 'and', 'the', 'magnetic', 'field', 'applied', 'perpendicular', 'to', 'graphenewe', 'derive', 'analytical', 'results', 'for', 'the', 'intralandau', 'band', 'plasmon', 'spectrum', 'within', 'the', 'selfconsistentfield', 'approach', 'we', 'find', 'weiss', 'oscillations', 'in', 'the', 'magnetoplasmon', 'spectrum', 'which', 'is', 'the', 'primary', 'focus', 'of', 'this', 'work', 'results', 'are', 'presented', 'for', 'the', 'intralandau', 'band', 'magnetoplasmon', 'spectrum', 'as', 'a', 'function', 'of', 'inverse', 'magnetic', 'field', 'these', 'results', 'are', 'also', 'compared', 'with', 'those', 'of', 'conventional', '2deg', 'we', 'have', 'found', 'that', 'the', 'weiss', 'oscillations', 'in', 'the', 'magnetoplasmon', 'spectrum', 'are', 'larger', 'in', 'amplitude', 'compared', 'to', 'those', 'in', 'conventional', '2deg', 'for', 'the', 'same', 'modulation', 'strength', 'period', 'of', 'modulation', 'and', 'electron', 'density']] | [-0.20350377252768903, 0.18825824080877715, -0.029870649389479132, 0.05942762626468071, -0.029395566329300876, -0.09880727872119419, 0.017718671715729647, 0.3993029977889761, -0.22481938782018712, -0.2911775279402112, -0.01980978291433689, -0.28262262721915565, -0.15485919949909052, 0.2215174208487576, 0.02295153680634463, 0.011670569674895397, -0.0011933409527594607, 0.004643842075315732, -0.041713877664213736, -0.1484756720241248, 0.283347027028896, 0.06364474917155882, 0.3359152629291491, 0.053923009163034816, -0.04400713539253625, 0.028964843826427583, 0.06893708576731909, 0.0019519593389261338, -0.11740396178512517, 0.06773681425681663, 0.21864648541576037, -0.09757930443193467, 0.17972044599434686, -0.41889624180833973, -0.25107577818608473, -0.020202133704775145, 0.19310408210130556, 0.13799968365827456, -0.07418496914241197, -0.2685541097104313, 0.06734850180948833, -0.1405332569949447, -0.1260663931080628, -0.038613781517755894, -0.025993879652574717, 0.03547709521704486, -0.26647901960042497, 0.1461991330454891, 0.04596029520626106, 0.09399073644142066, -0.15061119324453767, -0.13390917232304456, -0.02156851407037013, 0.05331295258217743, 0.07480174624675234, 0.03783523435113094, 0.13114599441178143, -0.09422075989220055, -0.105467719011127, 0.35277332961263635, -0.1453403628815616, -0.14699584543557156, 0.13844827476460192, -0.252295704876324, -0.06516965290546299, 0.1753944471711293, 0.1395154222499557, 0.06696400373789763, -0.1124213860473699, 0.10518120893273532, -0.04149160088901038, 0.14901605387410474, 0.053466268798469434, 0.10204901098318044, 0.22729039846342944, 0.11209961862140705, 0.049595804090449024, 0.13843069058687738, -0.16145678021619836, -0.021925463173021045, -0.2164309979564259, -0.09371067522766276, -0.19785615618318497, 0.01176757444923241, -0.005996830624459859, -0.20665487655556747, 0.4933030527927691, 0.13709875746881442, 0.17164967872113698, -0.020138230317989215, 0.29049776710702907, 0.2154564875582721, 0.05199633576754307, 0.06894162314988318, 0.30399368370010976, 0.20833857671823353, 0.14225044768924514, -0.272439865378796, -0.06771198113168043, 0.011293377226499457] |
707.2872 | Cluster simulation of relativistic fermions in two space-time dimensions | For Majorana-Wilson lattice fermions in two dimensions we derive a dimer
representation. This is equivalent to Gattringer's loop representation, but is
made exact here on the torus. A subsequent dual mapping leads to yet another
representation in which a highly efficient Swendsen-Wang type cluster algorithm
is constructed. It includes the possibility of fluctuating boundary conditions.
It also allows for improved estimators and makes interesting new observables
accessible to Monte Carlo. The algorithm is compatible with the Gross-Neveu as
well as an additional Z(2) gauge interaction. In this article numerical
demonstrations are reported for critical free fermions.
| hep-lat cond-mat.stat-mech hep-th | for majoranawilson lattice fermions in two dimensions we derive a dimer representation this is equivalent to gattringers loop representation but is made exact here on the torus a subsequent dual mapping leads to yet another representation in which a highly efficient swendsenwang type cluster algorithm is constructed it includes the possibility of fluctuating boundary conditions it also allows for improved estimators and makes interesting new observables accessible to monte carlo the algorithm is compatible with the grossneveu as well as an additional z2 gauge interaction in this article numerical demonstrations are reported for critical free fermions | [['for', 'majoranawilson', 'lattice', 'fermions', 'in', 'two', 'dimensions', 'we', 'derive', 'a', 'dimer', 'representation', 'this', 'is', 'equivalent', 'to', 'gattringers', 'loop', 'representation', 'but', 'is', 'made', 'exact', 'here', 'on', 'the', 'torus', 'a', 'subsequent', 'dual', 'mapping', 'leads', 'to', 'yet', 'another', 'representation', 'in', 'which', 'a', 'highly', 'efficient', 'swendsenwang', 'type', 'cluster', 'algorithm', 'is', 'constructed', 'it', 'includes', 'the', 'possibility', 'of', 'fluctuating', 'boundary', 'conditions', 'it', 'also', 'allows', 'for', 'improved', 'estimators', 'and', 'makes', 'interesting', 'new', 'observables', 'accessible', 'to', 'monte', 'carlo', 'the', 'algorithm', 'is', 'compatible', 'with', 'the', 'grossneveu', 'as', 'well', 'as', 'an', 'additional', 'z2', 'gauge', 'interaction', 'in', 'this', 'article', 'numerical', 'demonstrations', 'are', 'reported', 'for', 'critical', 'free', 'fermions']] | [-0.11352880264166743, 0.15659758633023074, -0.10214767694978559, 0.11288168394512081, -0.11490518211862667, -0.19232194249003015, 0.03262225144785492, 0.4248248400919615, -0.20238251740142624, -0.2690582617156287, 0.10079613143325526, -0.2313371315337482, -0.16217385219568584, 0.19756969947496705, -0.02171862566784183, 0.05994173559419652, 0.06336076322328696, 0.03268545191299091, -0.09535237804223645, -0.23903773375291457, 0.28339848888324615, 0.06699838459075606, 0.2548001457867708, 0.03892321740475265, 0.11871028122828996, 0.011149075754145359, -0.022164195880016432, -0.007270822692860631, -0.14973135424302297, 0.11402486719716182, 0.20898534084157522, 0.020405290286710606, 0.1842876272523736, -0.3786781554288687, -0.18984463909006816, 0.07350052673706507, 0.19520347689753992, 0.16984647969056435, -0.05095833172387582, -0.26091587225450796, 0.03769556636813077, -0.18211415547758658, -0.1577238755392287, -0.11391148271356175, -0.013891063917903824, -0.06826957378615724, -0.329118330992679, 0.059202984757808115, 0.0005337667980905067, 0.04032259240023237, -0.0287005768703703, -0.09568471722106667, 0.01441109317919596, 0.08733519095868031, 0.015351276268855608, 0.06755184521898627, 0.0654947477432483, -0.13792731069484132, -0.13856189110455044, 0.3748209646883163, -0.02105335847652973, -0.2211231229544439, 0.25265764357878806, -0.0780674250836068, -0.17226949001741695, 0.13456331379711628, 0.09358061137708261, 0.11146674655437311, -0.18369679879199, 0.1299966048304378, -0.07782446883712954, 0.14464599286463667, -0.021091437099769, 0.014815760063047105, 0.18479523887025548, 0.16937348670623403, 0.09390406043050771, 0.19787138595463746, -0.014831770830688642, -0.15689878014629668, -0.31072827711939177, -0.18302439382433536, -0.19768100505833455, 0.06040228915182834, -0.08615177179215491, -0.20212484503343225, 0.36749191100689327, 0.19194773306693644, 0.1658855950400392, 0.04208752138761833, 0.2453065609678309, 0.12096345888084158, 0.07572644103833652, 0.05351147708542486, 0.19138881040023678, 0.13852617845553508, 0.04746320112509296, -0.19867723635360698, -0.006510953331289397, 0.13618372515725724] |
707.2873 | On the Orbits of Solvable Linear Groups | Let $G$ be a solvable linear group acting on the finite vectorpace $V$ and
assume that $(|G|,|V|)=1$. In this paper we find $x,y\in V$ such that
$C_G(x)\cap C_G(y)=1$. In particular, this answers a question of I. M. Isaacs.
We complete some results of S. Dolphi, A. Seress and T. R. Wolf.
| math.GR | let g be a solvable linear group acting on the finite vectorpace v and assume that gv1 in this paper we find xyin v such that c_gxcap c_gy1 in particular this answers a question of i m isaacs we complete some results of s dolphi a seress and t r wolf | [['let', 'g', 'be', 'a', 'solvable', 'linear', 'group', 'acting', 'on', 'the', 'finite', 'vectorpace', 'v', 'and', 'assume', 'that', 'gv1', 'in', 'this', 'paper', 'we', 'find', 'xyin', 'v', 'such', 'that', 'c_gxcap', 'c_gy1', 'in', 'particular', 'this', 'answers', 'a', 'question', 'of', 'i', 'm', 'isaacs', 'we', 'complete', 'some', 'results', 'of', 's', 'dolphi', 'a', 'seress', 'and', 't', 'r', 'wolf']] | [-0.1839431906118989, 0.11240426545112353, -0.06267596873373765, -0.040832745503512735, -0.10239128452857309, -0.18500415718628335, 0.06808962558811206, 0.3563911792538736, -0.28162510061393614, -0.22003018507814925, 0.04756599000108469, -0.2867632751231608, -0.15391911597639, 0.15348649296767847, -0.1142444621629851, -0.07318718705589519, 0.06755167302554069, 0.11729641594802556, -0.057309992601285165, -0.3201524667522829, 0.3188778664106908, -0.10386158905558936, 0.10456133980061048, 0.05751432709233916, 0.10279420230780607, 0.020204655107353694, -0.03338347716540422, 0.08709214779082686, -0.22833877400167377, 0.05664935472811086, 0.29588855333302333, 0.11863187252057959, 0.3292175158858299, -0.3410498989219575, -0.1750559762687139, 0.1996511360934085, 0.10805195266299922, -0.020693616253202377, -0.045539924340909754, -0.2309008335046794, 0.1592184252348607, -0.1744539009042732, -0.09058458637446165, 0.0013428778671052146, 0.2026008428276881, 0.008092293637278288, -0.3377580675498947, -0.0057650051970520744, 0.17553219071629902, 0.0808473574974335, -0.01179299320337241, -0.10869449628112109, -0.03734250949776691, 0.050849447816448366, -0.06523206377523424, 0.10311450822400334, -0.008567180454164096, -0.02450883104060979, -0.07275597434288458, 0.3866341100681735, -0.1649425747682867, -0.17696224207706426, 0.14411455532029757, -0.1826169753862221, -0.16719311247225446, -0.02737492641798504, 0.12421170162522922, 0.21112470486727747, -0.0722529528176655, 0.25032213552723354, -0.20418271094398655, 0.09270618572507215, 0.06153048157853925, -0.04858690642994707, 0.0962624398627035, 0.06418009348335149, 0.09832249244715532, 0.054107087687083076, 0.03359497354224162, 0.1254401012809704, -0.3986212846863529, -0.16490484178369946, -0.18267070736898028, 0.18247220713807188, -0.038019840058278416, -0.13042633636328188, 0.36253688622104085, 0.13186010951176286, 0.24456215022212785, 0.0557134655992622, 0.1384885837931348, 0.08076562671719686, -0.03848178871988278, 0.19203874298735804, 0.048476591253901184, 0.15835744932131923, -0.024123202310875058, -0.22674236007277732, -0.022355062553011205, 0.12797312321060378] |
707.2874 | Giant fluctuations of topological charge in a disordered wave guide | We study the fluctuations of the total topological charge of a scalar wave
propagating in a hollow conducting wave guide filled with scatterers inside. We
investigate the dependence of the screening on the scattering mean free path
and on the presence of boundaries. Near the cut-off frequencies of the wave
guide, screening is strongly suppressed near the boundaries. The resulting huge
fluctuations of the total topological charge are very sensitive to the
disorder.
| cond-mat.other | we study the fluctuations of the total topological charge of a scalar wave propagating in a hollow conducting wave guide filled with scatterers inside we investigate the dependence of the screening on the scattering mean free path and on the presence of boundaries near the cutoff frequencies of the wave guide screening is strongly suppressed near the boundaries the resulting huge fluctuations of the total topological charge are very sensitive to the disorder | [['we', 'study', 'the', 'fluctuations', 'of', 'the', 'total', 'topological', 'charge', 'of', 'a', 'scalar', 'wave', 'propagating', 'in', 'a', 'hollow', 'conducting', 'wave', 'guide', 'filled', 'with', 'scatterers', 'inside', 'we', 'investigate', 'the', 'dependence', 'of', 'the', 'screening', 'on', 'the', 'scattering', 'mean', 'free', 'path', 'and', 'on', 'the', 'presence', 'of', 'boundaries', 'near', 'the', 'cutoff', 'frequencies', 'of', 'the', 'wave', 'guide', 'screening', 'is', 'strongly', 'suppressed', 'near', 'the', 'boundaries', 'the', 'resulting', 'huge', 'fluctuations', 'of', 'the', 'total', 'topological', 'charge', 'are', 'very', 'sensitive', 'to', 'the', 'disorder']] | [-0.21231971089154072, 0.2513852697120954, -0.03896791326545485, 0.06758909318628019, -0.04156967776840272, -0.039142451287336545, 0.04021419533400809, 0.33533112462354847, -0.23096741217966765, -0.2631398177106086, 0.057485745471825646, -0.3480012647246253, -0.11613545703306181, 0.10702462627054894, 0.046652154327204376, 0.008941769242694932, -0.013803191801966869, 0.047818629020085074, -0.0832635100950066, -0.14398727517523993, 0.3434636309640865, 0.08540763009709548, 0.3256734211048851, 0.1259228875079154, 0.018826181458130684, 0.0752531641405331, -0.019022630195911615, 0.06514757759358784, -0.14764153056663193, 0.09116042009554803, 0.1694119205596308, -0.04581135451436451, 0.22989743117447178, -0.46083005341662936, -0.232182396129284, 0.021960532075840318, 0.12982119998116404, 0.12397414022954563, -0.05650675126147291, -0.2934291520449397, 0.05152471072665633, -0.0828396579767386, -0.1997369650148544, 0.0018815145674735715, -0.00244223367269725, 0.048627101264460244, -0.24484201278282355, 0.0849209906252688, 0.009479978300426921, 0.010916308078863849, -0.10494338872217357, -0.05557496387715617, -0.08338334563519958, 0.08766171077189788, 0.07860255024191758, 0.0369354728896375, 0.17804046193367407, -0.19874094455974967, -0.027526579173728312, 0.36169488434616015, -0.08281969266292984, -0.19407446010114804, 0.19175180415814258, -0.21376742672634452, 0.013844552609355075, 0.21625694545776877, 0.20805979241961486, 0.13552134681799233, -0.08971931349026831, 0.06980001614732055, 0.004646856989033762, 0.15728618412387035, 0.0995185259308615, 0.09454300718968861, 0.2967077495163659, 0.1880786798428744, 0.07034133108371027, 0.1739969375568812, -0.16511848356498227, -0.06889172459072242, -0.355610853545878, -0.136265472461125, -0.2109409253661559, 0.02054485243809735, -0.07961466018575378, -0.2661986028112165, 0.4157666228950815, 0.14986852455361147, 0.16183790791626662, -0.03644186014641229, 0.23731655456533987, 0.14549472024791862, 0.08254612073914645, 0.05198810224689237, 0.25763506804312236, 0.16408195544978324, 0.08166740537455229, -0.32028018584321827, 0.009451766702512356, -0.010469181271754715] |
707.2875 | Quantum transport in noncentrosymmetric superconductors and
thermodynamics of ferromagnetic superconductors | We consider a general Hamiltonian describing coexistence of itinerant
ferromagnetism, spin-orbit coupling and mixed spin-singlet/triplet
superconducting pairing in the context of mean-field theory. The Hamiltonian is
diagonalized and exact eigenvalues are obtained, thus allowing us to write down
the coupled gap equations for the different order parameters. Our results may
then be applied to any model describing coexistence of any combination of these
three phenomena. As a specific application of our results, we consider
tunneling between a normal metal and a noncentrosymmetric superconductor with
mixed singlet and triplet gaps. The conductance spectrum reveals information
about these gaps in addition to how the influence of spin-orbit coupling is
manifested. We also consider the coexistence of itinerant ferromagnetism and
triplet superconductivity as a model for recently discovered ferromagnetic
superconductors. The coupled gap equations are solved self-consistently, and we
study the conditions necessary to obtain the coexistent regime of
ferromagnetism and superconductivity. Analytical expressions are presented for
the order parameters, and we provide an analysis of the free energy to identify
the preferred system state. Moreover, we make specific predictions concerning
the heat capacity for a ferromagnetic superconductor. In particular, we report
a nonuniversal relative jump in the specific heat, depending on the
magnetization of the system, at the uppermost superconducting phase transition.
[Shortened abstract due to arXiv submission.]
| cond-mat.supr-con | we consider a general hamiltonian describing coexistence of itinerant ferromagnetism spinorbit coupling and mixed spinsinglettriplet superconducting pairing in the context of meanfield theory the hamiltonian is diagonalized and exact eigenvalues are obtained thus allowing us to write down the coupled gap equations for the different order parameters our results may then be applied to any model describing coexistence of any combination of these three phenomena as a specific application of our results we consider tunneling between a normal metal and a noncentrosymmetric superconductor with mixed singlet and triplet gaps the conductance spectrum reveals information about these gaps in addition to how the influence of spinorbit coupling is manifested we also consider the coexistence of itinerant ferromagnetism and triplet superconductivity as a model for recently discovered ferromagnetic superconductors the coupled gap equations are solved selfconsistently and we study the conditions necessary to obtain the coexistent regime of ferromagnetism and superconductivity analytical expressions are presented for the order parameters and we provide an analysis of the free energy to identify the preferred system state moreover we make specific predictions concerning the heat capacity for a ferromagnetic superconductor in particular we report a nonuniversal relative jump in the specific heat depending on the magnetization of the system at the uppermost superconducting phase transition shortened abstract due to arxiv submission | [['we', 'consider', 'a', 'general', 'hamiltonian', 'describing', 'coexistence', 'of', 'itinerant', 'ferromagnetism', 'spinorbit', 'coupling', 'and', 'mixed', 'spinsinglettriplet', 'superconducting', 'pairing', 'in', 'the', 'context', 'of', 'meanfield', 'theory', 'the', 'hamiltonian', 'is', 'diagonalized', 'and', 'exact', 'eigenvalues', 'are', 'obtained', 'thus', 'allowing', 'us', 'to', 'write', 'down', 'the', 'coupled', 'gap', 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707.2876 | Shack-Hartmann sensor improvement using optical binning | We present a design improvement for a recently proposed type of
Shack-Hartmann wavefront sensor that uses a cylindrical (lenticular) lenslet
array. The improved sensor design uses optical binning and requires
significantly fewer detector pixels than the corresponding conventional or
cylindrical Shack-Hartmann sensor, and so detector readout noise causes less
signal degradation. Additionally, detector readout time is significantly
reduced, which reduces the latency for closed loop systems, and data processing
requirements. We provide simple analytical noise considerations and Monte-Carlo
simulations, and show that the optically binned Shack-Hartmann sensor can offer
better performance than the conventional counterpart in most practical
situations, and our design is particularly suited for use with astronomical
adaptive optics systems.
| physics.optics physics.ins-det | we present a design improvement for a recently proposed type of shackhartmann wavefront sensor that uses a cylindrical lenticular lenslet array the improved sensor design uses optical binning and requires significantly fewer detector pixels than the corresponding conventional or cylindrical shackhartmann sensor and so detector readout noise causes less signal degradation additionally detector readout time is significantly reduced which reduces the latency for closed loop systems and data processing requirements we provide simple analytical noise considerations and montecarlo simulations and show that the optically binned shackhartmann sensor can offer better performance than the conventional counterpart in most practical situations and our design is particularly suited for use with astronomical adaptive optics systems | [['we', 'present', 'a', 'design', 'improvement', 'for', 'a', 'recently', 'proposed', 'type', 'of', 'shackhartmann', 'wavefront', 'sensor', 'that', 'uses', 'a', 'cylindrical', 'lenticular', 'lenslet', 'array', 'the', 'improved', 'sensor', 'design', 'uses', 'optical', 'binning', 'and', 'requires', 'significantly', 'fewer', 'detector', 'pixels', 'than', 'the', 'corresponding', 'conventional', 'or', 'cylindrical', 'shackhartmann', 'sensor', 'and', 'so', 'detector', 'readout', 'noise', 'causes', 'less', 'signal', 'degradation', 'additionally', 'detector', 'readout', 'time', 'is', 'significantly', 'reduced', 'which', 'reduces', 'the', 'latency', 'for', 'closed', 'loop', 'systems', 'and', 'data', 'processing', 'requirements', 'we', 'provide', 'simple', 'analytical', 'noise', 'considerations', 'and', 'montecarlo', 'simulations', 'and', 'show', 'that', 'the', 'optically', 'binned', 'shackhartmann', 'sensor', 'can', 'offer', 'better', 'performance', 'than', 'the', 'conventional', 'counterpart', 'in', 'most', 'practical', 'situations', 'and', 'our', 'design', 'is', 'particularly', 'suited', 'for', 'use', 'with', 'astronomical', 'adaptive', 'optics', 'systems']] | [-0.10150471277302131, 0.03800278019688059, -0.057831838760258894, 0.00905060932771968, -0.10049742402458962, -0.2326609087550813, -0.010136618031538092, 0.46533444044845446, -0.16579840595555392, -0.3573313925215708, 0.1312878709400788, -0.2744685650478849, -0.1720892613209019, 0.2620830193918664, -0.14662662832831433, 0.11692520267284376, 0.13996671743474767, -0.039705318051346694, -0.09430535519173386, -0.20730961680445553, 0.18784040615095624, 0.16353827909499938, 0.3368561433287271, -0.08416137659306903, 0.15065196292250352, 0.04389828241879253, -0.04701790274287175, 0.0007488111192027905, -0.04592525310272322, 0.08828323553253929, 0.29136538992835476, 0.11932166716516283, 0.20027785983568588, -0.46263528635193196, -0.23173768397620215, 0.08726763196838354, 0.16957945477666467, 0.05707682156415623, -0.10169032413458419, -0.28559855531161055, 0.0647031669203508, -0.16354110716409714, -0.0821860305773693, -0.05354361702588254, -0.041260489341636584, 0.013980675231973041, -0.29780348091610775, 0.033721664637726335, 0.016668876329536682, 0.04066692110583452, 0.011694236082673472, -0.15077773872430303, 0.07521961500710209, 0.07657075067878136, -0.125088574356466, 0.014874445877337297, 0.2164639594765114, -0.09444552727342982, -0.08583044229973373, 0.3491369673761905, 0.012272363194694793, -0.20899474690668285, 0.1605499094231553, -0.08852595405395343, -0.055864126446457316, 0.1907359539348233, 0.17789105696387456, 0.06053879946037861, -0.1725925282693684, -0.0092003170856125, 0.09622678139047432, 0.25787364290694575, 0.07588654724739692, 0.11525165607287947, 0.13106685087093087, 0.27265865537421113, 0.13194052991873054, 0.16300777929219684, -0.22719821160925285, -0.025498912376601117, -0.2553327280080079, -0.11390788493944067, -0.15206425745314586, 0.005252248665783554, -0.11502818976467617, -0.11229908118756222, 0.34669318362804397, 0.2026030995434017, 0.09540939396746191, 0.05875870585961301, 0.4356711776760806, 0.05562450520976979, 0.13295851847422974, 0.05537298458096172, 0.2655054380853211, 0.07663978848306995, 0.151194217340422, -0.17893265609330097, 0.017004443806529577, -0.032955926443849294] |
707.2877 | Voronoi Tessellations and the Cosmic Web: Spatial Patterns and
Clustering across the Universe | The spatial cosmic matter distribution on scales of a few up to more than a
hundred Megaparsec displays a salient and pervasive foamlike pattern. Voronoi
tessellations are a versatile and flexible mathematical model for such weblike
spatial patterns. They would be the natural asymptotic result of an evolution
in which low-density expanding void regions dictate the spatial organization of
the Megaparsec Universe, while matter assembles in high-density filamentary and
wall-like interstices between the voids. We describe the results of ongoing
investigations of a variety of aspects of cosmologically relevant spatial
distributions and statistics within the framework of Voronoi tessellations.
Particularly enticing is the finding of a profound scaling of both clustering
strength and clustering extent for the distribution of tessellation nodes,
suggestive for the clustering properties of galaxy clusters. Cellular patterns
may be the source of an intrinsic ``geometrically biased'' clustering.
| astro-ph | the spatial cosmic matter distribution on scales of a few up to more than a hundred megaparsec displays a salient and pervasive foamlike pattern voronoi tessellations are a versatile and flexible mathematical model for such weblike spatial patterns they would be the natural asymptotic result of an evolution in which lowdensity expanding void regions dictate the spatial organization of the megaparsec universe while matter assembles in highdensity filamentary and walllike interstices between the voids we describe the results of ongoing investigations of a variety of aspects of cosmologically relevant spatial distributions and statistics within the framework of voronoi tessellations particularly enticing is the finding of a profound scaling of both clustering strength and clustering extent for the distribution of tessellation nodes suggestive for the clustering properties of galaxy clusters cellular patterns may be the source of an intrinsic geometrically biased clustering | [['the', 'spatial', 'cosmic', 'matter', 'distribution', 'on', 'scales', 'of', 'a', 'few', 'up', 'to', 'more', 'than', 'a', 'hundred', 'megaparsec', 'displays', 'a', 'salient', 'and', 'pervasive', 'foamlike', 'pattern', 'voronoi', 'tessellations', 'are', 'a', 'versatile', 'and', 'flexible', 'mathematical', 'model', 'for', 'such', 'weblike', 'spatial', 'patterns', 'they', 'would', 'be', 'the', 'natural', 'asymptotic', 'result', 'of', 'an', 'evolution', 'in', 'which', 'lowdensity', 'expanding', 'void', 'regions', 'dictate', 'the', 'spatial', 'organization', 'of', 'the', 'megaparsec', 'universe', 'while', 'matter', 'assembles', 'in', 'highdensity', 'filamentary', 'and', 'walllike', 'interstices', 'between', 'the', 'voids', 'we', 'describe', 'the', 'results', 'of', 'ongoing', 'investigations', 'of', 'a', 'variety', 'of', 'aspects', 'of', 'cosmologically', 'relevant', 'spatial', 'distributions', 'and', 'statistics', 'within', 'the', 'framework', 'of', 'voronoi', 'tessellations', 'particularly', 'enticing', 'is', 'the', 'finding', 'of', 'a', 'profound', 'scaling', 'of', 'both', 'clustering', 'strength', 'and', 'clustering', 'extent', 'for', 'the', 'distribution', 'of', 'tessellation', 'nodes', 'suggestive', 'for', 'the', 'clustering', 'properties', 'of', 'galaxy', 'clusters', 'cellular', 'patterns', 'may', 'be', 'the', 'source', 'of', 'an', 'intrinsic', 'geometrically', 'biased', 'clustering']] | [-0.1089104699682616, 0.11679600634144005, -0.13656530420276078, 0.11797102009431716, -0.06531556227561483, -0.043075331206043774, -0.009640185492681273, 0.37712762040475795, -0.2586594243659407, -0.3217540623765465, 0.03325201979019276, -0.2582201900816001, -0.12080001536135872, 0.13696044048538814, 0.0047673618186476596, -0.022650879925011216, -0.023118121747640854, -0.01789189965946349, -0.01819272844450291, -0.21578506894858804, 0.29269236034106016, 0.11615193312895214, 0.31356718842970566, 0.01409570538564354, 0.07950975059974172, -0.08007841272583456, -0.08800521920309633, 0.06145282331540362, -0.14178790462513766, 0.12697060077192848, 0.220025315810596, 0.13248758270993088, 0.23821403819024034, -0.4233477445755233, -0.2535685305681793, 0.10171301659619343, 0.23444686270589735, 0.09278446171279577, -0.07420836826293079, -0.29330688573631414, 0.08792550662360715, -0.11979422841781705, -0.16508833352965138, -0.029839569986764843, 0.029214192662348457, 0.05729810817865655, -0.2097674533567913, 0.140650142974993, 0.04488531635836401, 0.055115985994537674, -0.01607635969639564, -0.06772358995261239, -0.01009708923677392, 0.12269912589116828, -0.01431095674353262, -0.009201691112751868, 0.1936403306346413, -0.19887008493541614, -0.049680014230073136, 0.4424058815186962, 0.026719965028608753, -0.14633496843597518, 0.21452336734926974, -0.18347961442868707, -0.19643480165907784, 0.14411712275877436, 0.19244469367477512, 0.09744174316494911, -0.14830822591564174, 0.03688491099961565, -0.046507051098986084, 0.16759308679888013, 0.07191958662505585, 0.06802021616135628, 0.31161404121667147, 0.23152561221892634, 0.08422800583487496, 0.11544441497481778, -0.12454835105281165, -0.11065708152976231, -0.24546257563675125, -0.10410375394263958, -0.1719122007340589, -0.005929333846421635, -0.24139522490244777, -0.2194885046168475, 0.39766939166695514, 0.08817631544145683, 0.23284170199317714, 0.021088160643531983, 0.22520414502062697, -0.02353996087645068, 0.0867740218362487, 0.05430861547959189, 0.15150573629066877, 0.12274518282918907, 0.07562233436132736, -0.15485571033910828, 0.07573249405051799, 0.009808592947450935] |
707.2878 | Determining the CP properties of the Higgs boson | The search and the probe of the fundamental properties of Higgs boson(s) and,
in particular, the determination of their charge conjugation and parity (CP)
quantum numbers, is one of the main tasks of future high-energy colliders. We
demonstrate that the CP properties of a Standard Model-like Higgs particle can
be unambiguously assessed by measuring just the total cross section and the top
polarization in associated Higgs production with top quark pairs in e+e-
collisions.
| hep-ph | the search and the probe of the fundamental properties of higgs bosons and in particular the determination of their charge conjugation and parity cp quantum numbers is one of the main tasks of future highenergy colliders we demonstrate that the cp properties of a standard modellike higgs particle can be unambiguously assessed by measuring just the total cross section and the top polarization in associated higgs production with top quark pairs in ee collisions | [['the', 'search', 'and', 'the', 'probe', 'of', 'the', 'fundamental', 'properties', 'of', 'higgs', 'bosons', 'and', 'in', 'particular', 'the', 'determination', 'of', 'their', 'charge', 'conjugation', 'and', 'parity', 'cp', 'quantum', 'numbers', 'is', 'one', 'of', 'the', 'main', 'tasks', 'of', 'future', 'highenergy', 'colliders', 'we', 'demonstrate', 'that', 'the', 'cp', 'properties', 'of', 'a', 'standard', 'modellike', 'higgs', 'particle', 'can', 'be', 'unambiguously', 'assessed', 'by', 'measuring', 'just', 'the', 'total', 'cross', 'section', 'and', 'the', 'top', 'polarization', 'in', 'associated', 'higgs', 'production', 'with', 'top', 'quark', 'pairs', 'in', 'ee', 'collisions']] | [-0.10954787201764113, 0.24171962806753614, -0.0660086241204644, 0.1194792139498089, -0.04199137532378774, -0.14801805808108198, 0.049416479311656915, 0.29498704809796167, -0.265162674137517, -0.28258289067653586, -0.003071777313330991, -0.2976961545772045, 0.007266240420977812, 0.16083974745344823, 0.09030177583917975, 0.11481248302309699, 0.09114197243281917, 0.0288131550659199, -0.052018990825131735, -0.26109732730263796, 0.29716090480419427, 0.03758442991356541, 0.21900049808460312, 0.16240328973366855, 0.042400337982218005, 0.07331936647234535, -0.058785445518584015, -0.06702379061764963, -0.05668777707231473, 0.1270513120724826, 0.1843696840798067, 0.09389668858824046, 0.1024768644616612, -0.3116029453136631, -0.0843784279548689, 0.18849567621568772, 0.11526417130025456, 0.07550383818562369, -0.0832490171557544, -0.32631802521142605, 0.12872589876280618, -0.18663445975933526, -0.09520708898560622, -0.055548768012306175, -0.03099530769788937, -0.020013364837379068, -0.25536589730984055, 0.058050267738164275, -0.04564582450768432, 0.041345673993959824, 0.04036988116914054, -0.15433985675131348, -0.12010693006418846, 0.045257670474490405, 0.12979248121720613, -0.003051461702263033, 0.21021812645139526, -0.23740812811239093, -0.25384337543132335, 0.45787809562642834, -0.0926935247686767, -0.17573671724735382, 0.16748093632427422, -0.22734993742778897, -0.12948349425632105, 0.09423401224351413, 0.22844367947530103, 0.10358002481390596, -0.17684116380012319, 0.15584377775509917, -0.026522149917090666, 0.1511484512625061, 0.08858947467209922, 0.09129901095041754, 0.3048688474967069, 0.19646374912416512, 0.02481375708924355, 0.07174626434366596, -0.10630739211007273, -0.0803876500702589, -0.43543195180167016, -0.23811492297446002, -0.08697957741851742, 0.03991976499595251, -0.041981464238503845, -0.07322966883814819, 0.44448432245770014, 0.09664230132349641, 0.2583293919577389, -0.06481729254025866, 0.3135251222883125, 0.1109904446135703, 0.06948753812891506, -0.001461180336018269, 0.33567138530024504, 0.1892787873575061, 0.12199724572407855, -0.27084994880558066, 0.030803601987458563, 0.06387161812745035] |
707.2879 | Spin injection and relaxation in a mesoscopic superconductor | We study spin accumulation and spin relaxation in a superconducting nanowire.
Spins are injected and detected by using a set of magnetic tunnel contact
electrodes, closely spaced along the nanowire. We observe a giant enhancement
of the spin accumulation of up to five orders of magnitude on transition into
the superconducting state, consistent with the expected changes in the density
of states. The spin relaxation length decreases by an order of magnitude from
its value in the normal state. These measurements combined with our theoretical
model, allow us to distinguish the individual spin flip mechanisms present in
the transport channel. Our conclusion is that magnetic impurities rather than
spin-orbit coupling dominate spin-flip scattering in the superconducting state.
| cond-mat.mes-hall cond-mat.supr-con | we study spin accumulation and spin relaxation in a superconducting nanowire spins are injected and detected by using a set of magnetic tunnel contact electrodes closely spaced along the nanowire we observe a giant enhancement of the spin accumulation of up to five orders of magnitude on transition into the superconducting state consistent with the expected changes in the density of states the spin relaxation length decreases by an order of magnitude from its value in the normal state these measurements combined with our theoretical model allow us to distinguish the individual spin flip mechanisms present in the transport channel our conclusion is that magnetic impurities rather than spinorbit coupling dominate spinflip scattering in the superconducting state | [['we', 'study', 'spin', 'accumulation', 'and', 'spin', 'relaxation', 'in', 'a', 'superconducting', 'nanowire', 'spins', 'are', 'injected', 'and', 'detected', 'by', 'using', 'a', 'set', 'of', 'magnetic', 'tunnel', 'contact', 'electrodes', 'closely', 'spaced', 'along', 'the', 'nanowire', 'we', 'observe', 'a', 'giant', 'enhancement', 'of', 'the', 'spin', 'accumulation', 'of', 'up', 'to', 'five', 'orders', 'of', 'magnitude', 'on', 'transition', 'into', 'the', 'superconducting', 'state', 'consistent', 'with', 'the', 'expected', 'changes', 'in', 'the', 'density', 'of', 'states', 'the', 'spin', 'relaxation', 'length', 'decreases', 'by', 'an', 'order', 'of', 'magnitude', 'from', 'its', 'value', 'in', 'the', 'normal', 'state', 'these', 'measurements', 'combined', 'with', 'our', 'theoretical', 'model', 'allow', 'us', 'to', 'distinguish', 'the', 'individual', 'spin', 'flip', 'mechanisms', 'present', 'in', 'the', 'transport', 'channel', 'our', 'conclusion', 'is', 'that', 'magnetic', 'impurities', 'rather', 'than', 'spinorbit', 'coupling', 'dominate', 'spinflip', 'scattering', 'in', 'the', 'superconducting', 'state']] | [-0.18732627626641804, 0.2229799723709609, -0.016227097482232448, 0.007470285855273469, -0.0025168278445609105, -0.10659618055623056, 0.0592658936073924, 0.37796636588043636, -0.24166329125037941, -0.3298201253796872, -0.003228959775704922, -0.3413636450074677, -0.042661729499570325, 0.1887868637453892, 0.07885304336937574, -0.01764594737299057, -0.0008123759538508379, -0.0009214015235790076, -0.12430435523955932, -0.19840581180591488, 0.301296692456862, -0.009736454404858697, 0.3110313568499067, 0.04997419284927285, 0.05456993273960856, 0.011016561822745845, 0.09159396514376132, 0.0033183126893435787, -0.13858244271032785, 0.06338919842578163, 0.21244537506180888, -0.08118201034446047, 0.15327404321640983, -0.5036789679732652, -0.16915570318889925, 0.013693573797105724, 0.13470602506357762, 0.15688445140472335, -0.01605490672812025, -0.2790015892595307, 0.02415302876605947, -0.16594664276673052, -0.12181204941589385, -0.043600158276370704, -0.023002366999036863, -0.03227479990898098, -0.24332721311694536, 0.10609222391747639, 0.09435320160009412, 0.01579932703708227, -0.0585527025993006, -0.11563397648258723, -0.044655936953221634, 0.08233495351547997, 0.06610454495450975, 0.06499162360301448, 0.18920508447142007, -0.09915032098567289, -0.15916549103557426, 0.255877778156955, -0.085417683663779, -0.11282932696243127, 0.1679045858153174, -0.21478940894763565, -0.030697710557371125, 0.19436507310984957, 0.14369772524278387, 0.10107897507010871, -0.13232040993917066, -0.01414334546858206, 0.03432963767614311, 0.17079662499774215, 0.017618664655770756, 0.07870319348751989, 0.2772221826335304, 0.2238764034297604, 0.08188270295086579, 0.1556274350414164, -0.17250449309706625, -0.09544980115631324, -0.2469874098100978, -0.14574637496445933, -0.21185764644899938, 0.12125586001321864, -0.072946019136122, -0.14337385123850316, 0.4384335850974402, 0.19182182951535806, 0.20766208922633758, -0.026334873472268764, 0.2677194778648261, 0.12221495252369771, 0.11130644904417741, 0.04768386518216541, 0.2776862498455876, 0.20886357915965825, 0.04901670413410179, -0.36454614612640035, 0.11452948160541172, -0.05395311418857075] |
707.288 | Manipulating biphotonic qutrits | Quantum information carriers with higher dimension than the canonical qubit
offer significant advantages. However, manipulating such systems is extremely
difficult. We show how measurement induced non-linearities can be employed to
dramatically extend the range of possible transforms on biphotonic qutrits; the
three level quantum systems formed by the polarisation of two photons in the
same spatio-temporal mode. We fully characterise the biphoton-photon
entanglement that underpins our technique, thereby realising the first instance
of qubit-qutrit entanglement. We discuss an extension of our technique to
generate qutrit-qutrit entanglement and to manipulate any bosonic encoding of
quantum information.
| quant-ph | quantum information carriers with higher dimension than the canonical qubit offer significant advantages however manipulating such systems is extremely difficult we show how measurement induced nonlinearities can be employed to dramatically extend the range of possible transforms on biphotonic qutrits the three level quantum systems formed by the polarisation of two photons in the same spatiotemporal mode we fully characterise the biphotonphoton entanglement that underpins our technique thereby realising the first instance of qubitqutrit entanglement we discuss an extension of our technique to generate qutritqutrit entanglement and to manipulate any bosonic encoding of quantum information | [['quantum', 'information', 'carriers', 'with', 'higher', 'dimension', 'than', 'the', 'canonical', 'qubit', 'offer', 'significant', 'advantages', 'however', 'manipulating', 'such', 'systems', 'is', 'extremely', 'difficult', 'we', 'show', 'how', 'measurement', 'induced', 'nonlinearities', 'can', 'be', 'employed', 'to', 'dramatically', 'extend', 'the', 'range', 'of', 'possible', 'transforms', 'on', 'biphotonic', 'qutrits', 'the', 'three', 'level', 'quantum', 'systems', 'formed', 'by', 'the', 'polarisation', 'of', 'two', 'photons', 'in', 'the', 'same', 'spatiotemporal', 'mode', 'we', 'fully', 'characterise', 'the', 'biphotonphoton', 'entanglement', 'that', 'underpins', 'our', 'technique', 'thereby', 'realising', 'the', 'first', 'instance', 'of', 'qubitqutrit', 'entanglement', 'we', 'discuss', 'an', 'extension', 'of', 'our', 'technique', 'to', 'generate', 'qutritqutrit', 'entanglement', 'and', 'to', 'manipulate', 'any', 'bosonic', 'encoding', 'of', 'quantum', 'information']] | [-0.12066627285155923, 0.195644440750023, -0.07565051816562389, 0.06516767255194049, -0.029332693970881084, -0.19275255979811576, 0.02052595770789033, 0.36116186549213336, -0.26084619806088666, -0.26782149407378536, 0.037265994426289056, -0.26020868833330363, -0.14218274850715348, 0.240638524120515, -0.03413986323396378, 0.08353541425845408, 0.029683035634894002, -0.005811492295717781, -0.06831449921988446, -0.26318160473230356, 0.3127848234701347, 0.016822189782458814, 0.3145448054147369, 0.049842400540736444, 0.13488223497815272, 0.03488960579295266, 0.003323842989630066, -0.01201415041144541, -0.09335113886257379, 0.15605958488750013, 0.27684602959755256, 0.13761142397329132, 0.2203977092942025, -0.44419604814314145, -0.23056064716768154, 0.12291541023110535, 0.1524410343015606, 0.198775191335602, -0.02746851002782623, -0.2952926975892896, 0.03818271328689545, -0.17798174636319597, -0.11401467418119787, -0.16503826486184558, -0.03424866221092166, -0.06818709536542264, -0.2168251789804112, 0.04328154736852392, 0.10287662938316451, 0.01788373520360031, 0.007797613638413555, -0.012601025992053304, -0.0028877395869014743, 0.13822688065107636, -0.08007548208734853, -0.017891934865706678, 0.14198951439515867, -0.12814577533851101, -0.197568712082315, 0.3589225747830611, -0.06777802233394122, -0.19633915492313656, 0.20279180615189227, -0.13616766879196338, -0.10748876014506405, 0.07488435199682383, 0.13009932552008552, 0.10729551898870379, -0.12295899686819696, 0.03176632155156496, 0.025652513908658255, 0.22563447278151486, 0.07164249962017416, 0.1974674014899721, 0.20960617984367652, 0.11875435512294953, 0.08300830367853508, 0.2207511760371222, -0.0685850197147142, -0.12264536123071361, -0.2582323544242598, -0.21403779058737007, -0.2223768989822426, 0.07719139314870885, -0.07796895429179286, -0.08582821880724836, 0.41888811796200165, 0.20831777893026618, 0.1588298080370147, 0.0009520497480209203, 0.3091840181261935, 0.1286951965321737, 0.08812915009664411, 0.04584073293285365, 0.23886656869658607, 0.13966797397501687, 0.048470529400684095, -0.27022830528043645, 0.024863540358405482, -0.004981592807799895] |
707.2881 | VLT spectroscopy of blue supergiants in IC 1613 | We present multi-object spectroscopy of young, massive stars in the Local
Group galaxy IC 1613. We provide the spectral classification and a detailed
spectral catalog for 54 OBA stars in this galaxy. The majority of the
photometrically selected sample is composed of B- and A-type supergiants. The
remaining stars include early O-type dwarfs and the only Wolf-Rayet star known
in this galaxy. Among the early B stars we have serendipitously uncovered 6 Be
stars, the largest spectroscopically confirmed sample of this class of objects
beyond the Magellanic Clouds. We measure chemical abundances for 9 early-B
supergiants, and find a mean oxygen abundance of 12+log(O/H)=7.90 +/- 0.08.
This value is consistent with the result we obtain for two HII regions in which
we detect the temperature-sensitive [OIII]4363 auroral line.
| astro-ph | we present multiobject spectroscopy of young massive stars in the local group galaxy ic 1613 we provide the spectral classification and a detailed spectral catalog for 54 oba stars in this galaxy the majority of the photometrically selected sample is composed of b and atype supergiants the remaining stars include early otype dwarfs and the only wolfrayet star known in this galaxy among the early b stars we have serendipitously uncovered 6 be stars the largest spectroscopically confirmed sample of this class of objects beyond the magellanic clouds we measure chemical abundances for 9 earlyb supergiants and find a mean oxygen abundance of 12logoh790 008 this value is consistent with the result we obtain for two hii regions in which we detect the temperaturesensitive oiii4363 auroral line | [['we', 'present', 'multiobject', 'spectroscopy', 'of', 'young', 'massive', 'stars', 'in', 'the', 'local', 'group', 'galaxy', 'ic', '1613', 'we', 'provide', 'the', 'spectral', 'classification', 'and', 'a', 'detailed', 'spectral', 'catalog', 'for', '54', 'oba', 'stars', 'in', 'this', 'galaxy', 'the', 'majority', 'of', 'the', 'photometrically', 'selected', 'sample', 'is', 'composed', 'of', 'b', 'and', 'atype', 'supergiants', 'the', 'remaining', 'stars', 'include', 'early', 'otype', 'dwarfs', 'and', 'the', 'only', 'wolfrayet', 'star', 'known', 'in', 'this', 'galaxy', 'among', 'the', 'early', 'b', 'stars', 'we', 'have', 'serendipitously', 'uncovered', '6', 'be', 'stars', 'the', 'largest', 'spectroscopically', 'confirmed', 'sample', 'of', 'this', 'class', 'of', 'objects', 'beyond', 'the', 'magellanic', 'clouds', 'we', 'measure', 'chemical', 'abundances', 'for', '9', 'earlyb', 'supergiants', 'and', 'find', 'a', 'mean', 'oxygen', 'abundance', 'of', '12logoh790', '008', 'this', 'value', 'is', 'consistent', 'with', 'the', 'result', 'we', 'obtain', 'for', 'two', 'hii', 'regions', 'in', 'which', 'we', 'detect', 'the', 'temperaturesensitive', 'oiii4363', 'auroral', 'line']] | [-0.04201504993386426, 0.06497001436553777, -0.03634405994255628, 0.07946237771668369, -0.11660315706634834, -0.03426397282866731, 0.1424316475592879, 0.4310922779379383, -0.07671162490511224, -0.36966693630471587, 0.005840078969153443, -0.3221735450187846, -0.010871329477855138, 0.1610190509485879, -0.07836516984989719, -0.09725580308787314, 0.11568069333092325, -0.06139457128024549, 0.007421157577828992, -0.3337785976214541, 0.2977784251325786, -0.00608699914947566, 0.09109418565363046, -0.13182342299478478, 0.00038817948440001126, -0.17121090330294378, -0.1376670108404055, -0.03804214649818956, -0.1790092544748433, 0.02547343186886301, 0.2624072309672123, 0.14826692708043587, 0.19897840113844723, -0.2527745054023745, -0.18620693683624268, 0.09457161628718798, 0.25533686153265456, 0.027828571478104486, -0.0974773494619137, -0.2989172652984659, 0.12415171530151312, -0.17864528787876702, -0.20565628872386046, 0.07139325518131492, 0.05599671934956744, 0.049707002701267364, -0.21591679419558088, 0.147172275985155, 0.0120526213376295, 0.19508932272918403, -0.14019465277207985, -0.16167830302572203, -0.04297029528589476, 0.09005201577452854, -0.03672563236637322, 0.04252366163852876, 0.12396926455299503, -0.13149433886440146, 0.021980273352551555, 0.4030804226234082, -0.09081240072255096, 0.08459250732243712, 0.23469787905554448, -0.22452828171108627, -0.2524038972259159, 0.10483469288899666, 0.11795110822034378, 0.23189011552382172, -0.23427658906531712, -0.012327738959963122, -0.030559029123405853, 0.17235713909631448, 0.02105187728173203, 0.08676858128282697, 0.3114700723062491, 0.10188955306777701, 0.00935999102362003, 0.11180229985343647, -0.3169990032744993, -0.002827875970286273, -0.22369963236870097, -0.166008640823531, -0.10422791241453813, 0.08606292637035487, -0.16494498155698817, -0.15968785084237064, 0.3345932526484368, 0.0823962975372856, 0.19417143608665183, 0.005651461611878837, 0.24499826429648294, 0.04275161870163939, 0.12874435620607175, 0.14261643413365596, 0.3279301845653367, 0.23591206477777588, 0.08290458354906785, -0.2538973019303133, 0.06769277927066598, 0.018418390170804093] |
707.2882 | Structure formation in the presence of dark energy perturbations | We study non-linear structure formation in the presence of dark energy. The
influence of dark energy on the growth of large-scale cosmological structures
is exerted both through its background effect on the expansion rate, and
through its perturbations as well. In order to compute the rate of formation of
massive objects we employ the Spherical Collapse formalism, which we generalize
to include fluids with pressure. We show that the resulting non-linear
evolution equations are identical to the ones obtained in the Pseudo-Newtonian
approach to cosmological perturbations, in the regime where an equation of
state serves to describe both the background pressure relative to density, and
the pressure perturbations relative to the density perturbations as well. We
then consider a wide range of constant and time-dependent equations of state
(including phantom models) parametrized in a standard way, and study their
impact on the non-linear growth of structure. The main effect is the formation
of dark energy structure associated with the dark matter halo: non-phantom
equations of state induce the formation of a dark energy halo, damping the
growth of structures; phantom models, on the other hand, generate dark energy
voids, enhancing structure growth. Finally, we employ the Press-Schechter
formalism to compute how dark energy affects the number of massive objects as a
function of redshift.
| astro-ph hep-ph | we study nonlinear structure formation in the presence of dark energy the influence of dark energy on the growth of largescale cosmological structures is exerted both through its background effect on the expansion rate and through its perturbations as well in order to compute the rate of formation of massive objects we employ the spherical collapse formalism which we generalize to include fluids with pressure we show that the resulting nonlinear evolution equations are identical to the ones obtained in the pseudonewtonian approach to cosmological perturbations in the regime where an equation of state serves to describe both the background pressure relative to density and the pressure perturbations relative to the density perturbations as well we then consider a wide range of constant and timedependent equations of state including phantom models parametrized in a standard way and study their impact on the nonlinear growth of structure the main effect is the formation of dark energy structure associated with the dark matter halo nonphantom equations of state induce the formation of a dark energy halo damping the growth of structures phantom models on the other hand generate dark energy voids enhancing structure growth finally we employ the pressschechter formalism to compute how dark energy affects the number of massive objects as a function of redshift | [['we', 'study', 'nonlinear', 'structure', 'formation', 'in', 'the', 'presence', 'of', 'dark', 'energy', 'the', 'influence', 'of', 'dark', 'energy', 'on', 'the', 'growth', 'of', 'largescale', 'cosmological', 'structures', 'is', 'exerted', 'both', 'through', 'its', 'background', 'effect', 'on', 'the', 'expansion', 'rate', 'and', 'through', 'its', 'perturbations', 'as', 'well', 'in', 'order', 'to', 'compute', 'the', 'rate', 'of', 'formation', 'of', 'massive', 'objects', 'we', 'employ', 'the', 'spherical', 'collapse', 'formalism', 'which', 'we', 'generalize', 'to', 'include', 'fluids', 'with', 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707.2883 | Construction and purpose of effective field theories for frustrated
magnetic order | This article reviews recent years' progress in the low temperature analysis
of standard models of spin glass order such as the Sherrington-Kirkpatrick (SK)
model. Applications to CdTe/CdMnTe layered systems and explanation of glassy
antiferromagnetic order at lowest temperatures stimulated us to study in detail
the beautifully complex physical effects of replica symmetry breaking (RSB).We
discuss analytical ideas based on highly precise numerical data which lead to
the construction of relatively simple effective field theories for the SK model
and help to understand the mysterious features of its exact solution. The goal
is to find construction principles for the theory of interplay between
frustrated magnetic order and various relevant physical degrees of freedom. The
emphasis in this article is on the role of Parisi's RSB, which surprisingly
creates critical phenomena in the low temperature limit despite the absence of
a standard phase transition.
| cond-mat.dis-nn | this article reviews recent years progress in the low temperature analysis of standard models of spin glass order such as the sherringtonkirkpatrick sk model applications to cdtecdmnte layered systems and explanation of glassy antiferromagnetic order at lowest temperatures stimulated us to study in detail the beautifully complex physical effects of replica symmetry breaking rsbwe discuss analytical ideas based on highly precise numerical data which lead to the construction of relatively simple effective field theories for the sk model and help to understand the mysterious features of its exact solution the goal is to find construction principles for the theory of interplay between frustrated magnetic order and various relevant physical degrees of freedom the emphasis in this article is on the role of parisis rsb which surprisingly creates critical phenomena in the low temperature limit despite the absence of a standard phase transition | [['this', 'article', 'reviews', 'recent', 'years', 'progress', 'in', 'the', 'low', 'temperature', 'analysis', 'of', 'standard', 'models', 'of', 'spin', 'glass', 'order', 'such', 'as', 'the', 'sherringtonkirkpatrick', 'sk', 'model', 'applications', 'to', 'cdtecdmnte', 'layered', 'systems', 'and', 'explanation', 'of', 'glassy', 'antiferromagnetic', 'order', 'at', 'lowest', 'temperatures', 'stimulated', 'us', 'to', 'study', 'in', 'detail', 'the', 'beautifully', 'complex', 'physical', 'effects', 'of', 'replica', 'symmetry', 'breaking', 'rsbwe', 'discuss', 'analytical', 'ideas', 'based', 'on', 'highly', 'precise', 'numerical', 'data', 'which', 'lead', 'to', 'the', 'construction', 'of', 'relatively', 'simple', 'effective', 'field', 'theories', 'for', 'the', 'sk', 'model', 'and', 'help', 'to', 'understand', 'the', 'mysterious', 'features', 'of', 'its', 'exact', 'solution', 'the', 'goal', 'is', 'to', 'find', 'construction', 'principles', 'for', 'the', 'theory', 'of', 'interplay', 'between', 'frustrated', 'magnetic', 'order', 'and', 'various', 'relevant', 'physical', 'degrees', 'of', 'freedom', 'the', 'emphasis', 'in', 'this', 'article', 'is', 'on', 'the', 'role', 'of', 'parisis', 'rsb', 'which', 'surprisingly', 'creates', 'critical', 'phenomena', 'in', 'the', 'low', 'temperature', 'limit', 'despite', 'the', 'absence', 'of', 'a', 'standard', 'phase', 'transition']] | [-0.1290653883246705, 0.13943123205099256, -0.07328226225716727, 0.08455381145301674, -0.0876443713703858, -0.10273991115391254, 0.06724923793309634, 0.31027965805094154, -0.21880456036888063, -0.31758829786309173, 0.10799998594447971, -0.2664597250188568, -0.18968339732715062, 0.15134442729010647, 0.008114826739100474, 0.0240135291653652, -0.038676801596635155, 0.023371398037748545, -0.10662795576666083, -0.18838979361046637, 0.2831820763348203, 0.080033412515851, 0.3205045479765561, 0.10149792753758707, 0.08563636808373433, 0.0019155551213771104, 0.037466573073262614, -0.026704382085673776, -0.17093172810938476, 0.11309509214146861, 0.26714013624932703, 0.016649608759741696, 0.194621501430603, -0.4548925551386284, -0.24208303964322633, 0.07911442577606068, 0.11411863573510865, 0.15532695314946718, -0.04134575592719817, -0.24071385501883924, 0.03754825851647183, -0.17729490412000035, -0.20175515211095835, -0.12038706794597341, -0.0014710619338854614, -0.03301326874809872, -0.228135157862146, 0.08010510255345642, 0.0804025577614084, 0.11350028295336025, -0.022735328756971283, -0.1021371220986891, 0.008732695510843769, 0.09656456116520401, 0.10350170586025342, 0.035437409039254165, 0.1003468901758814, -0.16736160061388675, -0.11906586375220546, 0.39589018349402716, -0.019235430018410885, -0.09946106355138389, 0.2309507548360021, -0.1436395005522562, -0.16970693589121635, 0.1396768563925954, 0.15617108627089432, 0.08679262267957841, -0.14887645680656922, 0.09982238120781924, 0.013148912102250117, 0.1520482073970405, -0.004883603977837733, 0.08055787087817277, 0.24424613068944642, 0.21604205103857177, -0.005762992995525045, 0.13913096758936133, -0.027382251853123308, -0.1906398599169084, -0.28376934666718756, -0.13353458476236224, -0.17148814916145055, 0.03328325168528993, -0.10417925830167535, -0.1482439751370943, 0.4246727874236447, 0.21717626020046218, 0.17730314280571682, -0.013744531784738813, 0.25338243204168975, 0.08052800968538837, 0.026075629233050027, -0.0030359229006405386, 0.23906559932594454, 0.17843409942828917, 0.11874823724668074, -0.24256567548561309, 0.05162244175776972, 0.06481386263788279] |
707.2884 | On multidimensional item response theory -- a coordinate free approach | A coordinate system free definition of complex structure multidimensional
item response theory (MIRT) for dichotomously scored items is presented. The
point of view taken emphasizes the possibilities and subtleties of
understanding MIRT as a multidimensional extension of the ``classical''
unidimensional item response theory models. The main theorem of the paper is
that every monotonic MIRT model looks the same; they are all trivial extensions
of univariate item response theory.
| math.ST stat.TH | a coordinate system free definition of complex structure multidimensional item response theory mirt for dichotomously scored items is presented the point of view taken emphasizes the possibilities and subtleties of understanding mirt as a multidimensional extension of the classical unidimensional item response theory models the main theorem of the paper is that every monotonic mirt model looks the same they are all trivial extensions of univariate item response theory | [['a', 'coordinate', 'system', 'free', 'definition', 'of', 'complex', 'structure', 'multidimensional', 'item', 'response', 'theory', 'mirt', 'for', 'dichotomously', 'scored', 'items', 'is', 'presented', 'the', 'point', 'of', 'view', 'taken', 'emphasizes', 'the', 'possibilities', 'and', 'subtleties', 'of', 'understanding', 'mirt', 'as', 'a', 'multidimensional', 'extension', 'of', 'the', 'classical', 'unidimensional', 'item', 'response', 'theory', 'models', 'the', 'main', 'theorem', 'of', 'the', 'paper', 'is', 'that', 'every', 'monotonic', 'mirt', 'model', 'looks', 'the', 'same', 'they', 'are', 'all', 'trivial', 'extensions', 'of', 'univariate', 'item', 'response', 'theory']] | [-0.08994972560743707, 0.07747565909032372, -0.10887940154424396, 0.10366946631921051, -0.1215099052499062, -0.2001354247196645, 0.037741206886678716, 0.31335919185717037, -0.29899594603457313, -0.22487106884870192, 0.046919863881065386, -0.31443321955241804, -0.1951159155941096, 0.11781462322097218, -0.08272226259746737, 0.02742413208698449, 0.02970742022254221, 0.05722281736645685, -0.050012194462107036, -0.2689304558283555, 0.28670513622489746, 0.03605293520334838, 0.28808709524193965, -0.01683872692502927, 0.10121159830495068, 0.10610582334397739, -0.11567595810291992, 0.04755224515110308, -0.09157142445642882, 0.1181255449284462, 0.3054938307460638, 0.13529148927984247, 0.3378016670956614, -0.3837918797284331, -0.19999853641712578, 0.08083719612382677, 0.04634773969292587, 0.05458151692173619, -0.005705985159653685, -0.227997281305168, 0.04886227924430716, -0.17934123760062284, -0.1620828523772998, -0.04654356875065444, 0.01351161005711048, 0.023224950484607532, -0.2746979876166628, 0.023234086300151936, 0.135968230512884, 0.07396899321642907, -0.11424376507088511, -0.1067144147751421, 0.007944420914746064, 0.11020500023943791, 0.06768848652364282, 0.02265120162696078, 0.137283255016276, -0.13996796605541653, -0.16597704257330168, 0.43077593709112727, -0.007760123245121128, -0.21450025192124472, 0.15279906664205634, -0.13542116090884784, -0.12777550895090983, 0.09017388449401419, 0.11801580867757076, 0.09024437188265333, -0.12745154981140344, 0.14442489838710162, -0.11592075464896102, 0.16194272227796214, 0.027804370463380346, 0.010957842402538095, 0.21013848480862984, 0.17097013918817908, 0.029976522330653625, 0.10569406376368758, 0.032051032247102776, -0.15128537204008605, -0.3506787203360295, -0.15326955406319187, -0.13980578002351188, 0.03129954001717809, -0.1194959338954768, -0.20866821028724097, 0.43791851663179154, 0.15411389602493306, 0.13964181640387877, 0.07012424893353296, 0.25856324574113754, 0.13994962701648203, 0.008457228041969347, -0.009685918054394964, 0.10196794292795053, 0.0965914897337232, 0.10264070227445252, -0.11856172505118277, 0.0885181725025177, 0.12956859759878422] |
707.2885 | Sylvester's Minorant Criterion, Lagrange-Beltrami Identity, and
Nonnegative Definiteness | We consider the characterizations of positive definite as well as nonnegative
definite quadratic forms in terms of the principal minors of the associated
symmetric matrix. We briefly review some of the known proofs, including a
classical approach via the Lagrange-Beltrami identity. For quadratic forms in
up to 3 variables, we give an elementary and self-contained proof of
Sylvester's Criterion for positive definiteness as well as for nonnegative
definiteness. In the process, we obtain an explicit version of
Lagrange-Beltrami identity for ternary quadratic forms.
| math.HO math.GM | we consider the characterizations of positive definite as well as nonnegative definite quadratic forms in terms of the principal minors of the associated symmetric matrix we briefly review some of the known proofs including a classical approach via the lagrangebeltrami identity for quadratic forms in up to 3 variables we give an elementary and selfcontained proof of sylvesters criterion for positive definiteness as well as for nonnegative definiteness in the process we obtain an explicit version of lagrangebeltrami identity for ternary quadratic forms | [['we', 'consider', 'the', 'characterizations', 'of', 'positive', 'definite', 'as', 'well', 'as', 'nonnegative', 'definite', 'quadratic', 'forms', 'in', 'terms', 'of', 'the', 'principal', 'minors', 'of', 'the', 'associated', 'symmetric', 'matrix', 'we', 'briefly', 'review', 'some', 'of', 'the', 'known', 'proofs', 'including', 'a', 'classical', 'approach', 'via', 'the', 'lagrangebeltrami', 'identity', 'for', 'quadratic', 'forms', 'in', 'up', 'to', '3', 'variables', 'we', 'give', 'an', 'elementary', 'and', 'selfcontained', 'proof', 'of', 'sylvesters', 'criterion', 'for', 'positive', 'definiteness', 'as', 'well', 'as', 'for', 'nonnegative', 'definiteness', 'in', 'the', 'process', 'we', 'obtain', 'an', 'explicit', 'version', 'of', 'lagrangebeltrami', 'identity', 'for', 'ternary', 'quadratic', 'forms']] | [-0.12068202243873527, 0.041935243693045285, -0.03337757564207286, 0.08857230576309738, -0.09996738592967574, -0.15801987110027743, -0.00516590285172433, 0.2918486123283704, -0.3010095057112199, -0.23108993247611287, 0.16135015859222615, -0.26726503719081296, -0.21911755372140626, 0.1868696910340661, -0.03873287573640729, 0.04053605306479666, -0.02503571394302043, 0.11052086298572428, -0.162074986839506, -0.2620944281462235, 0.3784353047333382, 0.006591493746748677, 0.11979632245169745, 0.11607321397757825, 0.14691776251066463, 0.07730093115457783, -0.059252080553567704, -0.049704650393974634, -0.12860465701669455, 0.09784356138760937, 0.25710559064913313, 0.15991059032464286, 0.25506485737630247, -0.40379575410006957, -0.08053158304113665, 0.1575874518617459, 0.11372077805967426, 0.06415287560472886, -0.07389839938669293, -0.22362273076066264, 0.09556581532542398, -0.15241590467638072, -0.18370736574317204, -0.14892206760410817, 0.03564805297732905, 0.012496715940443087, -0.3041122788908305, 0.11156285633505494, 0.1752294005371952, 0.09620648861667257, -0.12049509246149503, -0.23885742996899803, 0.0630481548687834, 0.05704443541895828, 0.03744087958482761, -0.05531786541155551, 0.02744686150532446, -0.07595075895135969, -0.15589512191298935, 0.3361129724179153, -0.0925270546497892, -0.25931031072949184, 0.1250340636520658, -0.06912181443638271, -0.1500334305987682, 0.04714272865726624, 0.17690433315748785, 0.15506930341714142, -0.1181510373559079, 0.12491649858305737, -0.09972695937311207, 0.06895891185361248, 0.08264151941065068, 0.0453897768539595, 0.15776495590668033, 0.018046099175181653, 0.09477111219175528, 0.21676759080340466, 0.08892951089311046, -0.10415101012238014, -0.41404725546822135, -0.2687681845653756, -0.18237807752024152, 0.11950506085823118, -0.1134415828322138, -0.2450360729370588, 0.3864265730673516, 0.029614244982238032, 0.21270477774058594, 0.15515792525062957, 0.2505946142805947, 0.12874278122053287, 0.05490588521538877, -0.013476635519139192, 0.1293456344940717, 0.23997239308592713, 0.05012731642726763, -0.11122988051746363, 0.07215054387249696, 0.15152381997509504] |
707.2886 | OA@MPS - a colourful view | The open access agenda of the Max Planck Society, initiator of the Berlin
Declaration, envisions the support of both the green way and the golden way to
open access. For the implementation of the green way the Max Planck Society
through its newly established unit (Max Planck Digital Library) follows the
idea of providing a centralized technical platform for publications and a local
support for editorial issues. With regard to the golden way, the Max Planck
Society fosters the development of open access publication models and
experiments new publishing concepts like the Living Reviews journals.
| cs.DL | the open access agenda of the max planck society initiator of the berlin declaration envisions the support of both the green way and the golden way to open access for the implementation of the green way the max planck society through its newly established unit max planck digital library follows the idea of providing a centralized technical platform for publications and a local support for editorial issues with regard to the golden way the max planck society fosters the development of open access publication models and experiments new publishing concepts like the living reviews journals | [['the', 'open', 'access', 'agenda', 'of', 'the', 'max', 'planck', 'society', 'initiator', 'of', 'the', 'berlin', 'declaration', 'envisions', 'the', 'support', 'of', 'both', 'the', 'green', 'way', 'and', 'the', 'golden', 'way', 'to', 'open', 'access', 'for', 'the', 'implementation', 'of', 'the', 'green', 'way', 'the', 'max', 'planck', 'society', 'through', 'its', 'newly', 'established', 'unit', 'max', 'planck', 'digital', 'library', 'follows', 'the', 'idea', 'of', 'providing', 'a', 'centralized', 'technical', 'platform', 'for', 'publications', 'and', 'a', 'local', 'support', 'for', 'editorial', 'issues', 'with', 'regard', 'to', 'the', 'golden', 'way', 'the', 'max', 'planck', 'society', 'fosters', 'the', 'development', 'of', 'open', 'access', 'publication', 'models', 'and', 'experiments', 'new', 'publishing', 'concepts', 'like', 'the', 'living', 'reviews', 'journals']] | [-0.11117580829335279, 0.05941333531549103, -0.07292383682767027, 0.06789459043035381, -0.14475679672568253, -0.1252194277402994, 0.14321235758497528, 0.2854100157947917, -0.2687929183244705, -0.30768408143990916, 0.12244985190152778, -0.299609475210309, -0.12542489954319438, 0.21576375624066904, -0.06699820143219672, 0.05494506182577951, 0.042103881187933054, -0.018852139734908156, 0.03446832542356692, -0.33184652610829, 0.28932045236425963, 0.14495106310044464, 0.3611845412267078, 0.049015245125874095, 0.03369270396958056, -0.01610824319681055, -0.17382455651011122, -0.023775911208634315, -0.12211645832775454, 0.20010630045772382, 0.2699522791937756, 0.2621058405425988, 0.36635395531591614, -0.37994403781271296, -0.11874230281498871, -0.03311674006675419, 0.10540219421841596, 0.05586942394607161, -0.05691201169484932, -0.29713848688100514, 0.02600843667689907, -0.21592336951902039, -0.1577927440649977, -0.014656367839166993, 0.04229860056779886, 0.004398621988825892, -0.20636977631672238, 0.016767093276997144, 0.012543732050414149, 0.0842953383628475, -0.050580977608057624, -0.16445407728223424, 0.030063724635463012, 0.19254286250981845, -0.022544327535127338, 0.08794122289278006, 0.17254695860963118, -0.1595029369045637, -0.16893216540154657, 0.43651121171485435, -0.020460957774010143, -0.0657467842714763, 0.11729951209241622, -0.09773023575360544, -0.17200525658891389, -0.04057280262442012, 0.1431280585888185, -0.06130118532547433, -0.20110787722331128, 0.13372241499846016, -0.03131733443588018, 0.13357890992253824, 0.09521818192136523, 0.03637311007141283, 0.23636777137259118, 0.197043996314077, 0.10009430334168046, 0.06511016528269178, 0.00411113992725548, -0.12897149783706194, -0.2622844059510451, -0.18242603798249835, -0.17667647385479587, 0.03745158899477438, -0.022550187945690643, -0.18110763659014514, 0.3735595589013476, 0.12741499778532767, 0.1211943868547678, 0.043218501539606796, 0.2957662685137046, -0.025068002006676245, 0.10768745626862111, 0.13649464454992036, 0.1473263279620656, 0.05918513238430023, 0.25249825235162127, -0.15123351248177258, 0.022709291918497337, 0.0040611611875264264] |
707.2887 | Kelvin-Helmholtz modes revealed by the transversal structure of the jet
in 0836+710 | Studying transversal structure in extragalactic jets is crucial for
understanding their physics. The Japanese led space VLBI project VSOP has
offered arguably the best opportunity for such studies, by reaching baseline
lengths of up to 36,000 km and resolving structures down to an angular size of
0.3 mas at 5 GHz. VSOP observations of the jet in 0836+710 at 1.6 and 5 GHz
have enabled tracing the radial structure of the flow on scales from 2 mas to
200 mas and determining the wavelengths of individual oscillatory modes
responsible for the formation of the structure observed. We conclude that these
modes are produced by Kelvin-Helmholtz instability in a sheared relativistic
flow. Our results point towards the stratification of the jet and the growth of
different modes at different jet radii. We also discuss the implications of the
driving frequency on the physics of the active nucleus of the quasar.
| astro-ph | studying transversal structure in extragalactic jets is crucial for understanding their physics the japanese led space vlbi project vsop has offered arguably the best opportunity for such studies by reaching baseline lengths of up to 36000 km and resolving structures down to an angular size of 03 mas at 5 ghz vsop observations of the jet in 0836710 at 16 and 5 ghz have enabled tracing the radial structure of the flow on scales from 2 mas to 200 mas and determining the wavelengths of individual oscillatory modes responsible for the formation of the structure observed we conclude that these modes are produced by kelvinhelmholtz instability in a sheared relativistic flow our results point towards the stratification of the jet and the growth of different modes at different jet radii we also discuss the implications of the driving frequency on the physics of the active nucleus of the quasar | [['studying', 'transversal', 'structure', 'in', 'extragalactic', 'jets', 'is', 'crucial', 'for', 'understanding', 'their', 'physics', 'the', 'japanese', 'led', 'space', 'vlbi', 'project', 'vsop', 'has', 'offered', 'arguably', 'the', 'best', 'opportunity', 'for', 'such', 'studies', 'by', 'reaching', 'baseline', 'lengths', 'of', 'up', 'to', '36000', 'km', 'and', 'resolving', 'structures', 'down', 'to', 'an', 'angular', 'size', 'of', '03', 'mas', 'at', '5', 'ghz', 'vsop', 'observations', 'of', 'the', 'jet', 'in', '0836710', 'at', '16', 'and', '5', 'ghz', 'have', 'enabled', 'tracing', 'the', 'radial', 'structure', 'of', 'the', 'flow', 'on', 'scales', 'from', '2', 'mas', 'to', '200', 'mas', 'and', 'determining', 'the', 'wavelengths', 'of', 'individual', 'oscillatory', 'modes', 'responsible', 'for', 'the', 'formation', 'of', 'the', 'structure', 'observed', 'we', 'conclude', 'that', 'these', 'modes', 'are', 'produced', 'by', 'kelvinhelmholtz', 'instability', 'in', 'a', 'sheared', 'relativistic', 'flow', 'our', 'results', 'point', 'towards', 'the', 'stratification', 'of', 'the', 'jet', 'and', 'the', 'growth', 'of', 'different', 'modes', 'at', 'different', 'jet', 'radii', 'we', 'also', 'discuss', 'the', 'implications', 'of', 'the', 'driving', 'frequency', 'on', 'the', 'physics', 'of', 'the', 'active', 'nucleus', 'of', 'the', 'quasar']] | [-0.11807641496369303, 0.1443330806207526, -0.0702127013167979, 0.041723863510008674, -0.058445897484635745, -0.06228885836211727, -0.00258161407276588, 0.3903433622154813, -0.2349672262625606, -0.32741704645047853, 0.09213110253030447, -0.2493984959113268, -0.009183403459649483, 0.21827182007465987, 0.048179561563338455, 0.010597061150201014, 0.038343517881076455, -0.05873885065404661, -0.015388876829458864, -0.15808224163155676, 0.2962620514445007, 0.15235978790290103, 0.2421771526967969, 0.039196064421524617, 0.11591644887968698, -0.08473422019054876, -0.09513894683250144, -0.00820453836283359, -0.13867706619383768, 0.08409948470758512, 0.24079585955447, 0.09066217789901483, 0.2521086732575462, -0.38571661957633374, -0.18968443507516144, -0.004857886779503334, 0.151840795064345, 0.060025424521491434, 0.00944361782745277, -0.26199051098829296, 0.09634258225091402, -0.14915147520157965, -0.20869772717506693, 0.029910600366033362, 0.06839833928947181, 0.0037883217747310713, -0.1932183329950418, 0.08503113341523216, 0.0510622635175124, 0.11615055210063321, -0.09741962490929135, -0.12874595391495317, -0.042833618361865416, 0.14472363620133907, 0.04544689372688182, 0.07528758500296398, 0.14415097504779195, -0.15631399638700805, -0.11960041218581016, 0.3994992127917057, -0.022511155939123423, -0.052606178152268666, 0.2255471111369013, -0.23273670995895496, -0.15152410238406203, 0.17076983600979884, 0.20728553563587668, 0.08783623439473906, -0.07137034396092476, -0.021155795796568063, 0.0003155973644602119, 0.18736216309890558, 0.10896190298696193, 0.07351345333564502, 0.2823886442679487, 0.1911740239034563, 0.0429906182025478, 0.09283142195094139, -0.21485946230252817, -0.0457034842017413, -0.2725673680687511, -0.08450180378386238, -0.07558133026534979, 0.08474246065222953, -0.12407220901269778, -0.057574779178084644, 0.42779672328045204, 0.10859441774703513, 0.19794187079427528, -0.006268234018723937, 0.2645665807461979, 0.015170853132625804, 0.10062188619197715, 0.12562016278017787, 0.3505894079579403, 0.1362154565395275, 0.12210085171106078, -0.24088783084177381, 0.03462986473381619, -0.004478587895544284] |
707.2888 | Quantum Hall effect in carbon nanotubes and curved graphene strips | We develop a long wavelength approximation in order to describe the
low-energy states of carbon nanotubes in a transverse magnetic field. We show
that, in the limit where the square of the magnetic length $l = \sqrt{\hbar c
/e B}$ is much larger than the $C$-$C$ distance times the nanotube radius $R$,
the low-energy theory is given by the linear coupling of a two-component Dirac
spinor to the corresponding vector potential. We investigate in this regime the
evolution of the band structure of zig-zag nanotubes for values of $R/l > 1$,
showing that for radius $R \approx 20$ nm a clear pattern of Landau levels
start to develop for magnetic field strength $B \gtrsim 10$ T. The levels tend
to be four-fold degenerate, and we clarify the transition to the typical
two-fold degeneracy of graphene as the nanotube is unrolled to form a curved
strip. We show that the dynamics of the Dirac fermions leads to states which
are localized at the flanks of the nanotube and that carry chiral currents in
the longitudinal direction. We discuss the possibility to observe the
quantization of the Hall conductivity in thick carbon nanotubes, which should
display steps at even multiples of $2 e^2/h$, with values doubled with respect
to those in the odd-integer quantization of graphene.
| cond-mat.mes-hall | we develop a long wavelength approximation in order to describe the lowenergy states of carbon nanotubes in a transverse magnetic field we show that in the limit where the square of the magnetic length l sqrthbar c e b is much larger than the cc distance times the nanotube radius r the lowenergy theory is given by the linear coupling of a twocomponent dirac spinor to the corresponding vector potential we investigate in this regime the evolution of the band structure of zigzag nanotubes for values of rl 1 showing that for radius r approx 20 nm a clear pattern of landau levels start to develop for magnetic field strength b gtrsim 10 t the levels tend to be fourfold degenerate and we clarify the transition to the typical twofold degeneracy of graphene as the nanotube is unrolled to form a curved strip we show that the dynamics of the dirac fermions leads to states which are localized at the flanks of the nanotube and that carry chiral currents in the longitudinal direction we discuss the possibility to observe the quantization of the hall conductivity in thick carbon nanotubes which should display steps at even multiples of 2 e2h with values doubled with respect to those in the oddinteger quantization of graphene | [['we', 'develop', 'a', 'long', 'wavelength', 'approximation', 'in', 'order', 'to', 'describe', 'the', 'lowenergy', 'states', 'of', 'carbon', 'nanotubes', 'in', 'a', 'transverse', 'magnetic', 'field', 'we', 'show', 'that', 'in', 'the', 'limit', 'where', 'the', 'square', 'of', 'the', 'magnetic', 'length', 'l', 'sqrthbar', 'c', 'e', 'b', 'is', 'much', 'larger', 'than', 'the', 'cc', 'distance', 'times', 'the', 'nanotube', 'radius', 'r', 'the', 'lowenergy', 'theory', 'is', 'given', 'by', 'the', 'linear', 'coupling', 'of', 'a', 'twocomponent', 'dirac', 'spinor', 'to', 'the', 'corresponding', 'vector', 'potential', 'we', 'investigate', 'in', 'this', 'regime', 'the', 'evolution', 'of', 'the', 'band', 'structure', 'of', 'zigzag', 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707.2889 | Geography of local configurations | A $d$-dimensional binary Markov random field on a lattice torus is
considered. As the size $n$ of the lattice tends to infinity, potentials
$a=a(n)$ and $b=b(n)$ depend on $n$. Precise bounds for the probability for
local configurations to occur in a large ball are given. Under some conditions
bearing on $a(n)$ and $b(n)$, the distance between copies of different local
configurations is estimated according to their weights. Finally, a sufficient
condition ensuring that a given local configuration occurs everywhere in the
lattice is suggested.
| math.PR math-ph math.MP | a ddimensional binary markov random field on a lattice torus is considered as the size n of the lattice tends to infinity potentials aan and bbn depend on n precise bounds for the probability for local configurations to occur in a large ball are given under some conditions bearing on an and bn the distance between copies of different local configurations is estimated according to their weights finally a sufficient condition ensuring that a given local configuration occurs everywhere in the lattice is suggested | [['a', 'ddimensional', 'binary', 'markov', 'random', 'field', 'on', 'a', 'lattice', 'torus', 'is', 'considered', 'as', 'the', 'size', 'n', 'of', 'the', 'lattice', 'tends', 'to', 'infinity', 'potentials', 'aan', 'and', 'bbn', 'depend', 'on', 'n', 'precise', 'bounds', 'for', 'the', 'probability', 'for', 'local', 'configurations', 'to', 'occur', 'in', 'a', 'large', 'ball', 'are', 'given', 'under', 'some', 'conditions', 'bearing', 'on', 'an', 'and', 'bn', 'the', 'distance', 'between', 'copies', 'of', 'different', 'local', 'configurations', 'is', 'estimated', 'according', 'to', 'their', 'weights', 'finally', 'a', 'sufficient', 'condition', 'ensuring', 'that', 'a', 'given', 'local', 'configuration', 'occurs', 'everywhere', 'in', 'the', 'lattice', 'is', 'suggested']] | [-0.16317468068917237, 0.177414410250224, -0.05020912969484925, 0.03502755828196227, -0.030953428594373344, -0.14245671221786843, 0.08046120671012129, 0.38245341593089205, -0.2353326705107022, -0.2122301353762547, 0.11996027220794488, -0.23710312764714694, -0.08160577087463546, 0.13699244151523868, -0.059815188129765114, 0.059251526974895524, 0.0412242088932544, 0.1317460529916432, -0.07339720373593514, -0.30057194969378453, 0.3131159246716249, 0.06319199748049002, 0.26793213104385705, 0.04342724083177191, 0.08313407088453892, 0.014089878321447898, 0.0238307819624121, 0.03541612058212368, -0.18581883568592839, 0.058926095958754775, 0.14126411876107645, 0.11374147096648812, 0.23653666698373854, -0.4410936136375226, -0.1786692697510478, 0.15585229113431914, 0.08883928539164897, 0.10468018992937037, 0.0037376883791737435, -0.2482253766405241, 0.12426808083407759, -0.08094646610940497, -0.15640971679905696, -0.011066571210644074, 0.06697540878251727, 0.06507611030801422, -0.3588567299524411, 0.01056844085854079, 0.06595312081099976, 0.042806902268369286, -0.08048418042571506, -0.11865770900788318, -0.041322492994368076, 0.13377020207034157, 0.028063101386318783, 0.058139865791114666, 0.12111885326227084, -0.08726953600888096, -0.06594963121183571, 0.38807126152373494, -0.035736596653199136, -0.26413530209711533, 0.20415473535277193, -0.12842149886169604, -0.13736456623190038, 0.10618309768670726, 0.14995151148988434, 0.12783157814382798, -0.0913740149920895, 0.1430098912221313, -0.06307198671579715, 0.15274536782886744, 0.10811346045894814, 0.04208809050864407, 0.19858942912625416, 0.10522064653092197, 0.14305634889890262, 0.14952527666242704, -0.05990087642567232, -0.1331799960628684, -0.3318117730142105, -0.09824309702907201, -0.24474364565685391, 0.10256255243993587, -0.16394089645715818, -0.20544477772671685, 0.31349088403485004, 0.07816615975683644, 0.3049422312927033, 0.0518237974718518, 0.19232971836546703, 0.09469585082496494, 0.03865686608766, 0.06804308543602626, 0.15613065690108452, 0.147600355214395, 0.01670753144952912, -0.17585303685960493, 0.06989045152884155, 0.09381987691657352] |
707.289 | Constructing level-2 phylogenetic networks from triplets | Jansson and Sung showed that, given a dense set of input triplets T
(representing hypotheses about the local evolutionary relationships of triplets
of species), it is possible to determine in polynomial time whether there
exists a level-1 network consistent with T, and if so to construct such a
network. They also showed that, unlike in the case of trees (i.e. level-0
networks), the problem becomes NP-hard when the input is non-dense. Here we
further extend this work by showing that, when the set of input triplets is
dense, the problem is even polynomial-time solvable for the construction of
level-2 networks. This shows that, assuming density, it is tractable to
construct plausible evolutionary histories from input triplets even when such
histories are heavily non-tree like. This further strengthens the case for the
use of triplet-based methods in the construction of phylogenetic networks. We
also show that, in the non-dense case, the level-2 problem remains NP-hard.
| q-bio.PE | jansson and sung showed that given a dense set of input triplets t representing hypotheses about the local evolutionary relationships of triplets of species it is possible to determine in polynomial time whether there exists a level1 network consistent with t and if so to construct such a network they also showed that unlike in the case of trees ie level0 networks the problem becomes nphard when the input is nondense here we further extend this work by showing that when the set of input triplets is dense the problem is even polynomialtime solvable for the construction of level2 networks this shows that assuming density it is tractable to construct plausible evolutionary histories from input triplets even when such histories are heavily nontree like this further strengthens the case for the use of tripletbased methods in the construction of phylogenetic networks we also show that in the nondense case the level2 problem remains nphard | [['jansson', 'and', 'sung', 'showed', 'that', 'given', 'a', 'dense', 'set', 'of', 'input', 'triplets', 't', 'representing', 'hypotheses', 'about', 'the', 'local', 'evolutionary', 'relationships', 'of', 'triplets', 'of', 'species', 'it', 'is', 'possible', 'to', 'determine', 'in', 'polynomial', 'time', 'whether', 'there', 'exists', 'a', 'level1', 'network', 'consistent', 'with', 't', 'and', 'if', 'so', 'to', 'construct', 'such', 'a', 'network', 'they', 'also', 'showed', 'that', 'unlike', 'in', 'the', 'case', 'of', 'trees', 'ie', 'level0', 'networks', 'the', 'problem', 'becomes', 'nphard', 'when', 'the', 'input', 'is', 'nondense', 'here', 'we', 'further', 'extend', 'this', 'work', 'by', 'showing', 'that', 'when', 'the', 'set', 'of', 'input', 'triplets', 'is', 'dense', 'the', 'problem', 'is', 'even', 'polynomialtime', 'solvable', 'for', 'the', 'construction', 'of', 'level2', 'networks', 'this', 'shows', 'that', 'assuming', 'density', 'it', 'is', 'tractable', 'to', 'construct', 'plausible', 'evolutionary', 'histories', 'from', 'input', 'triplets', 'even', 'when', 'such', 'histories', 'are', 'heavily', 'nontree', 'like', 'this', 'further', 'strengthens', 'the', 'case', 'for', 'the', 'use', 'of', 'tripletbased', 'methods', 'in', 'the', 'construction', 'of', 'phylogenetic', 'networks', 'we', 'also', 'show', 'that', 'in', 'the', 'nondense', 'case', 'the', 'level2', 'problem', 'remains', 'nphard']] | [-0.09728347786774787, 0.09519217818878688, -0.039464908216584035, 0.10803529599155359, -0.04385223220308106, -0.14487497662435975, 0.06090650835521247, 0.39447607327397766, -0.29383682972727365, -0.28689551426932314, 0.08952212178219388, -0.23148880285730997, -0.20655528201975606, 0.15782934615566915, -0.07663463986427342, 0.009424279159684848, 0.11833609707121338, 0.0820558881568541, -0.019698521245933173, -0.29335262024073633, 0.3415682132948529, 0.005101513767663341, 0.22506704176292308, 0.0087793058014245, 0.10151698503207851, -0.005291026357754872, -0.025246161302285536, 0.037459719593125676, -0.08859677969705043, 0.0757451764188477, 0.2864454788663848, 0.22901668365706096, 0.23545529379497293, -0.38381660440573834, -0.19696700722606575, 0.1904259739238043, 0.1393349127172698, 0.12896978433165313, 0.0043116743334677896, -0.20626928161545474, 0.14303182014989874, -0.11967813060618937, -0.07090070184211356, -0.04567004550647523, 0.07914672276706665, -0.01787936441031853, -0.30195485702534386, 0.04638339262176003, 0.10162222598280225, -0.0011522532360639208, -0.028447548477825792, -0.10109687699972615, -0.0400022716509396, 0.10484319188244272, 0.011462254307985717, 0.05738839799199592, 0.04252237468873235, -0.14834188198967074, -0.11289236005456127, 0.36811982287553613, -0.018894062791769573, -0.20662487706006202, 0.2072439442567116, -0.09730662845147701, -0.21554492306351275, 0.09119180710298348, 0.1066923993639648, 0.14586315540953648, -0.12592264963606864, 0.10972953336721576, -0.13433899670951188, 0.17807726674809954, 0.08449646884684342, -0.020339478808152792, 0.1703959550200538, 0.19042977139916173, 0.11207603409360223, 0.15388182517104818, -0.03222923239620475, -0.064187708202305, -0.25082818657014666, -0.10342501150481948, -0.17960045804336136, 0.04182351454064347, -0.08537577626627248, -0.1844417807924283, 0.3636647137970506, 0.1733761188901459, 0.22084654952314767, 0.13575430412462294, 0.25790775172010233, 0.06592849728990763, 0.047714725106519154, 0.13017359744551799, 0.1791679392849978, 0.10191611834505404, 0.03518116589055046, -0.16686686677041815, 0.10602804036303, 0.05088543542509584] |
707.2891 | Transport, magnetic and superconducting properties of RuSr2RCu2O8 (R=
Eu, Gd) doped with Sn | Ru{1-x}Sn{x}Sr2EuCu2O8 and Ru{1-x}Sn{x}Sr2GdCu2O8 have been comprehensively
studied by microwave and dc resistivity and magnetoresistivity and by the dc
Hall measurements. The magnetic ordering temperature T_m is considerably
reduced with increasing Sn content. However, doping with Sn leads to only
slight reduction of the superconducting critical temperature T_c accompanied
with the increase of the upper critical field B_c2, indicating an increased
disorder in the system and a reduced scattering length of the conducting holes
in CuO2 layers. In spite of the increased scattering rate, the normal state
resistivity and the Hall resistivity are reduced with respect to the pure
compound, due to the increased number of itinerant holes in CuO2 layers, which
represent the main conductivity channel. Most of the electrons in RuO2 layers
are presumably localized, but the observed negative magnetoresistance and the
extraordinary Hall effect lead to the conclusion that there exists a small
number of itinerant electrons in RuO$_2$ layers that exhibit colossal
magnetoresistance.
| cond-mat.supr-con cond-mat.str-el | ru1xsnxsr2eucu2o8 and ru1xsnxsr2gdcu2o8 have been comprehensively studied by microwave and dc resistivity and magnetoresistivity and by the dc hall measurements the magnetic ordering temperature t_m is considerably reduced with increasing sn content however doping with sn leads to only slight reduction of the superconducting critical temperature t_c accompanied with the increase of the upper critical field b_c2 indicating an increased disorder in the system and a reduced scattering length of the conducting holes in cuo2 layers in spite of the increased scattering rate the normal state resistivity and the hall resistivity are reduced with respect to the pure compound due to the increased number of itinerant holes in cuo2 layers which represent the main conductivity channel most of the electrons in ruo2 layers are presumably localized but the observed negative magnetoresistance and the extraordinary hall effect lead to the conclusion that there exists a small number of itinerant electrons in ruo_2 layers that exhibit colossal magnetoresistance | [['ru1xsnxsr2eucu2o8', 'and', 'ru1xsnxsr2gdcu2o8', 'have', 'been', 'comprehensively', 'studied', 'by', 'microwave', 'and', 'dc', 'resistivity', 'and', 'magnetoresistivity', 'and', 'by', 'the', 'dc', 'hall', 'measurements', 'the', 'magnetic', 'ordering', 'temperature', 't_m', 'is', 'considerably', 'reduced', 'with', 'increasing', 'sn', 'content', 'however', 'doping', 'with', 'sn', 'leads', 'to', 'only', 'slight', 'reduction', 'of', 'the', 'superconducting', 'critical', 'temperature', 't_c', 'accompanied', 'with', 'the', 'increase', 'of', 'the', 'upper', 'critical', 'field', 'b_c2', 'indicating', 'an', 'increased', 'disorder', 'in', 'the', 'system', 'and', 'a', 'reduced', 'scattering', 'length', 'of', 'the', 'conducting', 'holes', 'in', 'cuo2', 'layers', 'in', 'spite', 'of', 'the', 'increased', 'scattering', 'rate', 'the', 'normal', 'state', 'resistivity', 'and', 'the', 'hall', 'resistivity', 'are', 'reduced', 'with', 'respect', 'to', 'the', 'pure', 'compound', 'due', 'to', 'the', 'increased', 'number', 'of', 'itinerant', 'holes', 'in', 'cuo2', 'layers', 'which', 'represent', 'the', 'main', 'conductivity', 'channel', 'most', 'of', 'the', 'electrons', 'in', 'ruo2', 'layers', 'are', 'presumably', 'localized', 'but', 'the', 'observed', 'negative', 'magnetoresistance', 'and', 'the', 'extraordinary', 'hall', 'effect', 'lead', 'to', 'the', 'conclusion', 'that', 'there', 'exists', 'a', 'small', 'number', 'of', 'itinerant', 'electrons', 'in', 'ruo_2', 'layers', 'that', 'exhibit', 'colossal', 'magnetoresistance']] | [-0.19242126342512414, 0.24358288623030108, 0.042986146927291115, -0.02971616626774602, -0.015313345361380027, -0.15938037648409992, 0.10918426173572827, 0.33023524985273744, -0.25014404323354195, -0.3155872092099237, -0.0021232283634871436, -0.37080592506069254, -0.10466721822362539, 0.1968411704368115, 0.005355970596882527, -0.005817185607345702, -0.051349376567167704, -0.02048240444326604, -0.11513007209370178, -0.27647196775901, 0.2853331600569866, 0.06368931074469507, 0.35420873505970485, 0.09375893838050497, 0.028236590188250622, -0.032143127803642355, 0.10178453033463425, 0.09610483804475758, -0.10003450578643695, 0.016971336502291552, 0.2734252203546174, -0.11068491402608283, 0.16371673502802075, -0.44924627954454777, -0.21460119457673524, 0.008015880476102813, 0.1435457513011484, 0.11805297935898597, -0.07504979155688583, -0.2286353592772956, 0.06825206326562669, -0.14058900026259824, -0.08755812848398051, -0.04643393479183304, -0.002824030649491477, -0.05028673587442533, -0.2239036595739134, 0.15780378041740556, 0.10297451116440987, 0.12081925348244917, -0.09813712344674225, -0.16428819781414222, -0.09013573755207774, 0.036037481758840285, 0.13806546607973996, 0.08636258778051933, 0.14911531276646367, -0.14338971006188106, -0.06719425262568833, 0.281510061330416, -0.03130102515456497, -0.05103853076406113, 0.1725718470599484, -0.2605340449901467, -0.015352117623408119, 0.22324983124294645, 0.12471117443320426, 0.03625106214479144, -0.10707159125504641, 0.07098541138791963, 0.000980279787123058, 0.19720108390032834, 0.06150751730257815, 0.08101250263469222, 0.2463824986056848, 0.19205820433456788, 0.04924394903468669, 0.14641958345468578, -0.1297233371357373, 0.015074705727724963, -0.17687429924338283, -0.1833021669805824, -0.2025248917808466, 0.10050650124661867, -0.10693417991711471, -0.22105760760484383, 0.35564618109114615, 0.17620346223022304, 0.2244299088163277, -0.08195722588207935, 0.22450380554512883, 0.15690026932332496, 0.1159295644641358, 0.0816229092193066, 0.2593486442596519, 0.22972109423747722, 0.18464336737796858, -0.3265957130881196, 0.14150008781172044, -0.02216992840509523] |
707.2892 | Electron Pair Resonance in the Coulomb Blockade | We study many-body corrections to the cotunneling current via a localized
state with energy $\epsilon_d$ at large bias voltages $V$. We show that the
transfer of {\em electron pairs}, enabled by the Coulomb repulsion in the
localized level, results in ionization resonance peaks in the third derivative
of the current with respect to $V$, centered at $eV=\pm 2\epsilon_d/3$. Our
results predict the existence of previously unnoticed structure within
Coulomb-blockade diamonds.
| cond-mat.mes-hall cond-mat.str-el | we study manybody corrections to the cotunneling current via a localized state with energy epsilon_d at large bias voltages v we show that the transfer of em electron pairs enabled by the coulomb repulsion in the localized level results in ionization resonance peaks in the third derivative of the current with respect to v centered at evpm 2epsilon_d3 our results predict the existence of previously unnoticed structure within coulombblockade diamonds | [['we', 'study', 'manybody', 'corrections', 'to', 'the', 'cotunneling', 'current', 'via', 'a', 'localized', 'state', 'with', 'energy', 'epsilon_d', 'at', 'large', 'bias', 'voltages', 'v', 'we', 'show', 'that', 'the', 'transfer', 'of', 'em', 'electron', 'pairs', 'enabled', 'by', 'the', 'coulomb', 'repulsion', 'in', 'the', 'localized', 'level', 'results', 'in', 'ionization', 'resonance', 'peaks', 'in', 'the', 'third', 'derivative', 'of', 'the', 'current', 'with', 'respect', 'to', 'v', 'centered', 'at', 'evpm', '2epsilon_d3', 'our', 'results', 'predict', 'the', 'existence', 'of', 'previously', 'unnoticed', 'structure', 'within', 'coulombblockade', 'diamonds']] | [-0.13317046922919176, 0.12005514526219271, -0.02335266609203673, 0.06062592231832883, 0.025769156431231427, -0.11109417522846557, 0.09209323373130139, 0.3572474503615761, -0.26382241317290156, -0.29639372996290847, -0.037581630610956755, -0.3387490618042648, -0.07748279830112177, 0.13287160399041192, 0.04384623988024781, -0.022839946103939676, 0.059772254022605276, 0.031980351921554434, -0.062002183824969345, -0.19351661459693467, 0.33819878896397043, 0.04077918085214846, 0.2632535121211892, 0.13396554426564014, 0.04987532042158658, 0.02730161733651424, 0.0793743832858608, 0.026246729745146108, -0.12652114689444716, 0.09118365810718387, 0.23562624404097304, -0.06654990280923598, 0.2917932598776294, -0.4275138828465167, -0.15339454358977758, 0.024915939203792196, 0.11314465623239384, 0.14505617104826823, -0.04861450611668475, -0.3319904526202556, 0.05736498434699195, -0.143517507103217, -0.1433037518975599, -0.0536532146472703, -0.001136484501116416, 0.04655099502312677, -0.27584135966283024, 0.15004795083009145, 0.03982950072146624, -0.011181782116182148, -0.06219129645786084, -0.09759431495502427, -0.05538879886529792, 0.06830033778404708, 0.015088013455490856, 0.026792605440491838, 0.14452715165337876, -0.13459545415004387, -0.15015477553585216, 0.28897825069725513, -0.11613082258469042, -0.11562164313920006, 0.18195082466734355, -0.26787436291958916, -0.08749355591477498, 0.19707014702177783, 0.10922406276907115, 0.07909729695700876, -0.12679109596972601, 0.09995347776395433, 0.03496533451492295, 0.13953707159003792, 0.07723224570166648, 0.05404425188488163, 0.21359457435798557, 0.1275087881641572, 0.07819571055691033, 0.10194331979351666, -0.1765593878363314, -0.07229761745068519, -0.322719995808952, -0.07207720235044904, -0.1935852224500302, 0.051947047844912636, 0.009010271915672895, -0.16672016515889587, 0.43691114136848175, 0.1705007560290944, 0.24279599109842606, -0.023086336085244137, 0.26080322729916694, 0.1759402899924145, 0.10202887715251349, 0.05042371579068405, 0.26693161779001134, 0.12998853469445534, 0.08232014320160755, -0.3086949828738237, 0.008723952677374816, 0.013792415601475275] |
707.2893 | Excitons in long molecular chains near the reflecting interface | We discuss coherent exciton-polariton states in long molecular chains that
are formed due to the interaction of molecular excitations with both vacuum
photons and surface excitations of the neighboring reflecting substrate. The
resonance coupling with surface plasmons (or surface polaritons) of the
substrate can substantially contribute to the retarded intermolecular
interactions leading to an efficient channel of the decay of one-dimensional
excitons with small momenta via emission of surface excitations. The interface
also modifies the radiative decay of excitons into vacuum photons. In an
idealized system, excitons with higher momenta would not emit photons nor
surface waves. For a dissipative substrate, additional exciton quenching takes
place owing to Joule losses as the electric field of the exciton polarization
penetrates the substrate. We discuss how these effects depend on the
polarization of molecular excitations, their frequency and on the distance of
the chain from the substrate.
| cond-mat.other | we discuss coherent excitonpolariton states in long molecular chains that are formed due to the interaction of molecular excitations with both vacuum photons and surface excitations of the neighboring reflecting substrate the resonance coupling with surface plasmons or surface polaritons of the substrate can substantially contribute to the retarded intermolecular interactions leading to an efficient channel of the decay of onedimensional excitons with small momenta via emission of surface excitations the interface also modifies the radiative decay of excitons into vacuum photons in an idealized system excitons with higher momenta would not emit photons nor surface waves for a dissipative substrate additional exciton quenching takes place owing to joule losses as the electric field of the exciton polarization penetrates the substrate we discuss how these effects depend on the polarization of molecular excitations their frequency and on the distance of the chain from the substrate | [['we', 'discuss', 'coherent', 'excitonpolariton', 'states', 'in', 'long', 'molecular', 'chains', 'that', 'are', 'formed', 'due', 'to', 'the', 'interaction', 'of', 'molecular', 'excitations', 'with', 'both', 'vacuum', 'photons', 'and', 'surface', 'excitations', 'of', 'the', 'neighboring', 'reflecting', 'substrate', 'the', 'resonance', 'coupling', 'with', 'surface', 'plasmons', 'or', 'surface', 'polaritons', 'of', 'the', 'substrate', 'can', 'substantially', 'contribute', 'to', 'the', 'retarded', 'intermolecular', 'interactions', 'leading', 'to', 'an', 'efficient', 'channel', 'of', 'the', 'decay', 'of', 'onedimensional', 'excitons', 'with', 'small', 'momenta', 'via', 'emission', 'of', 'surface', 'excitations', 'the', 'interface', 'also', 'modifies', 'the', 'radiative', 'decay', 'of', 'excitons', 'into', 'vacuum', 'photons', 'in', 'an', 'idealized', 'system', 'excitons', 'with', 'higher', 'momenta', 'would', 'not', 'emit', 'photons', 'nor', 'surface', 'waves', 'for', 'a', 'dissipative', 'substrate', 'additional', 'exciton', 'quenching', 'takes', 'place', 'owing', 'to', 'joule', 'losses', 'as', 'the', 'electric', 'field', 'of', 'the', 'exciton', 'polarization', 'penetrates', 'the', 'substrate', 'we', 'discuss', 'how', 'these', 'effects', 'depend', 'on', 'the', 'polarization', 'of', 'molecular', 'excitations', 'their', 'frequency', 'and', 'on', 'the', 'distance', 'of', 'the', 'chain', 'from', 'the', 'substrate']] | [-0.16725355713660348, 0.2703129771633218, -0.05175756181566173, 0.05945998962480848, -0.0372934540059289, -0.11874403660346208, 0.041562807158534894, 0.42364379924176065, -0.24872064555770365, -0.2704547216605941, -0.045295614448921946, -0.296362603112156, -0.0411043845614868, 0.1632415437155628, 0.08637563354046694, -0.03439117145949397, 0.02465367696151651, -0.07505836379072019, 0.0018657558774254446, -0.146630882778494, 0.32298978262677275, 0.06475367634075468, 0.2870440741487104, 0.17391925227089688, 0.06801442945986215, 0.016322382582865398, 0.10700825978038384, -0.08324474209341509, -0.1239311361671847, 0.09824320342319472, 0.18030793164607845, -0.07422754119053997, 0.1802394952560807, -0.5407037333424749, -0.20668288140461363, 0.04169140091920592, 0.19807428852835637, 0.20368751718437877, -0.044002006946388506, -0.3099387470697021, -0.04811970450963568, -0.11852408294919237, -0.09443661280875576, -0.013101553044016955, -0.009719398810431875, 0.03973591321886613, -0.20323712593586793, 0.09795417747809551, 0.05853884871968807, 0.008601212820012106, -0.09250580652713261, -0.07807112896437596, -0.13206619518519988, 0.0837379655367213, 0.07698708858565781, 0.016308851562568855, 0.2656072028752031, -0.155433325646124, -0.08824506729263171, 0.37675337411206344, -0.10654060298833867, -0.1597079507621198, 0.21818340243169523, -0.18819506722662982, 0.03168296282147539, 0.24901860044819527, 0.19238153062279112, 0.09750064792842122, -0.09402604424314381, 0.05734734913446651, 0.05249533311560236, 0.1988879359244963, 0.08157120377210708, 0.16101159677872884, 0.29415703879926225, 0.13838562104080257, 0.0159885786497837, 0.1641380558496919, -0.11917134362096288, -0.055631345613249415, -0.25935750549723363, -0.18131641027003784, -0.20430591484082156, 0.08341446037671192, -0.023392230792348433, -0.18782760620213532, 0.392179239104534, 0.08866951786492101, 0.16353942323476076, -0.02255587738392682, 0.26763612852785096, 0.1316913943922404, 0.1043196887853716, 0.04283257537874682, 0.32315105222936336, 0.18545239733467841, 0.054485684711935704, -0.3294796671381156, 0.012091168000138012, -0.0273432368476843] |
707.2894 | CMB temperature anisotropies from third order gravitational
perturbations | In this paper we present a complete computation of the Cosmic Microwave
Background (CMB) anisotropies up to third order from gravitational
perturbations accounting for scalar, vector and tensor perturbations. We then
specify our results to the large scale limit, providing the evolution of the
gravitational potentials in a flat universe filled with matter and cosmological
constant which characterizes the Integrated Sachs-Wolfe effect. As a byproduct
in the large scale approximation we are able to give non-perturbative solutions
for the photon geodesic equations. Our results are the first step to provide a
complete theoretical prediction for cubic non-linearities which are
particularly relevant for characterizing the level of non-Gaussianity in the
CMB through the detection of the four-point angular connected correlation
function (trispectrum). For this purpose we also allow for generic initial
conditions due to primordial non-Gaussianity.
| astro-ph | in this paper we present a complete computation of the cosmic microwave background cmb anisotropies up to third order from gravitational perturbations accounting for scalar vector and tensor perturbations we then specify our results to the large scale limit providing the evolution of the gravitational potentials in a flat universe filled with matter and cosmological constant which characterizes the integrated sachswolfe effect as a byproduct in the large scale approximation we are able to give nonperturbative solutions for the photon geodesic equations our results are the first step to provide a complete theoretical prediction for cubic nonlinearities which are particularly relevant for characterizing the level of nongaussianity in the cmb through the detection of the fourpoint angular connected correlation function trispectrum for this purpose we also allow for generic initial conditions due to primordial nongaussianity | [['in', 'this', 'paper', 'we', 'present', 'a', 'complete', 'computation', 'of', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'anisotropies', 'up', 'to', 'third', 'order', 'from', 'gravitational', 'perturbations', 'accounting', 'for', 'scalar', 'vector', 'and', 'tensor', 'perturbations', 'we', 'then', 'specify', 'our', 'results', 'to', 'the', 'large', 'scale', 'limit', 'providing', 'the', 'evolution', 'of', 'the', 'gravitational', 'potentials', 'in', 'a', 'flat', 'universe', 'filled', 'with', 'matter', 'and', 'cosmological', 'constant', 'which', 'characterizes', 'the', 'integrated', 'sachswolfe', 'effect', 'as', 'a', 'byproduct', 'in', 'the', 'large', 'scale', 'approximation', 'we', 'are', 'able', 'to', 'give', 'nonperturbative', 'solutions', 'for', 'the', 'photon', 'geodesic', 'equations', 'our', 'results', 'are', 'the', 'first', 'step', 'to', 'provide', 'a', 'complete', 'theoretical', 'prediction', 'for', 'cubic', 'nonlinearities', 'which', 'are', 'particularly', 'relevant', 'for', 'characterizing', 'the', 'level', 'of', 'nongaussianity', 'in', 'the', 'cmb', 'through', 'the', 'detection', 'of', 'the', 'fourpoint', 'angular', 'connected', 'correlation', 'function', 'trispectrum', 'for', 'this', 'purpose', 'we', 'also', 'allow', 'for', 'generic', 'initial', 'conditions', 'due', 'to', 'primordial', 'nongaussianity']] | [-0.1332687937275127, 0.11330602870633205, -0.08619968930638774, 0.11183451236639586, -0.10584435237882038, -0.054263495436559124, -0.06346977517370962, 0.29770057967829483, -0.2208857776424675, -0.28297743178748835, 0.06617655086641511, -0.27293605654396946, -0.12074222486914583, 0.19091921722930338, 0.04707602354702195, 0.07056892142734594, 0.011125999160490379, -0.007523442770104373, -0.03820098714420089, -0.2765475249969987, 0.36758682677453314, 0.12335624886607682, 0.22764547931513301, 0.07481307298014009, 0.0980052974489, -0.03658635528430481, -0.078548525911066, 0.03404035405773256, -0.16561562546218436, 0.09946880827795852, 0.2295050252890818, 0.10570738557036276, 0.19141040648575183, -0.4206207573413849, -0.1995759037392283, 0.15063767135833148, 0.12406713583127216, 0.21072214606080067, -0.049925328342726935, -0.2912482099607587, 0.07713574115531864, -0.1498242739174101, -0.12492557022444628, -0.12359190365058129, 0.00844133140657235, -0.03288513508935769, -0.29959067309758175, 0.1402196386257721, 0.024122145282173598, -0.020845718550737257, -0.07679411387760882, -0.05013310912030715, 0.014254174081401692, 0.09953137425774777, 0.04280733293508766, 0.02149831662665949, 0.10769249867147732, -0.14502389094688825, -0.05511864333077231, 0.4027608931719981, -0.17693437210853316, -0.1985665017945899, 0.09553224366606662, -0.1788448285535668, -0.18857767210100537, 0.08006073135917109, 0.2065511550737062, 0.09640922721958271, -0.14143946225651435, 0.12047769054339302, 0.0712133362095941, 0.16296336777956674, 0.08823245690307684, 0.05211370523536095, 0.2740066952244551, 0.13000619077572115, 0.09553811793663987, 0.15042932341565138, -0.078737028553668, -0.02061394357846843, -0.3935591039006357, -0.0973914163135406, -0.15798438698122347, 0.07517130016521723, -0.1701010213265868, -0.20913916114648734, 0.41771176639530394, 0.16419234651623776, 0.19727476336346525, 0.11065678793281593, 0.3131128599660264, 0.09256732630698632, 0.03870173142533059, 0.05909831246568097, 0.30908097913488747, 0.14939866295187837, 0.10700803286292487, -0.1995801758279817, -0.0039127673884784735, 0.015016507629857019] |
707.2895 | Mass-Radius Relationships for Solid Exoplanets | We use new interior models of cold planets to investigate the mass-radius
relationships of solid exoplanets, considering planets made primarily of iron,
silicates, water, and carbon compounds. We find that the mass-radius
relationships for cold terrestrial-mass planets of all compositions we
considered follow a generic functional form that is not a simple power law:
$\log_{10} R_s = k_1 + 1/3 \log_{10}(M_s) - k_2 M_s^{k_3}$ for up to $M_p
\approx 20 M_{\oplus}$, where $M_s$ and $R_s$ are scaled mass and radius
values. This functional form arises because the common building blocks of solid
planets all have equations of state that are well approximated by a modified
polytrope of the form $\rho = \rho_0 + c P^n$.
We find that highly detailed planet interior models, including temperature
structure and phase changes, are not necessary to derive solid exoplanet bulk
composition from mass and radius measurements. For solid exoplanets with no
substantial atmosphere we have also found that: with 5% fractional uncertainty
in planet mass and radius it is possible to distinguish among planets composed
predominantly of iron or silicates or water ice but not more detailed
compositions; with $\sim$~5% uncertainty water ice planets with $\gtrsim 25%$
water by mass may be identified; the minimum plausible planet size for a given
mass is that of a pure iron planet; and carbon planet mass-radius relationships
overlap with those of silicate and water planets due to similar zero-pressure
densities and equations of state. We propose a definition of "super Earths''
based on the clear distinction in radii between planets with significant gas
envelopes and those without.
| astro-ph | we use new interior models of cold planets to investigate the massradius relationships of solid exoplanets considering planets made primarily of iron silicates water and carbon compounds we find that the massradius relationships for cold terrestrialmass planets of all compositions we considered follow a generic functional form that is not a simple power law log_10 r_s k_1 13 log_10m_s k_2 m_sk_3 for up to m_p approx 20 m_oplus where m_s and r_s are scaled mass and radius values this functional form arises because the common building blocks of solid planets all have equations of state that are well approximated by a modified polytrope of the form rho rho_0 c pn we find that highly detailed planet interior models including temperature structure and phase changes are not necessary to derive solid exoplanet bulk composition from mass and radius measurements for solid exoplanets with no substantial atmosphere we have also found that with 5 fractional uncertainty in planet mass and radius it is possible to distinguish among planets composed predominantly of iron or silicates or water ice but not more detailed compositions with sim5 uncertainty water ice planets with gtrsim 25 water by mass may be identified the minimum plausible planet size for a given mass is that of a pure iron planet and carbon planet massradius relationships overlap with those of silicate and water planets due to similar zeropressure densities and equations of state we propose a definition of super earths based on the clear distinction in radii between planets with significant gas envelopes and those without | [['we', 'use', 'new', 'interior', 'models', 'of', 'cold', 'planets', 'to', 'investigate', 'the', 'massradius', 'relationships', 'of', 'solid', 'exoplanets', 'considering', 'planets', 'made', 'primarily', 'of', 'iron', 'silicates', 'water', 'and', 'carbon', 'compounds', 'we', 'find', 'that', 'the', 'massradius', 'relationships', 'for', 'cold', 'terrestrialmass', 'planets', 'of', 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707.2896 | The GALEX UV emission in shell galaxies: tracing galaxy "rejuvenation"
episodes | We present the GALEX far FUV and near NUV ultraviolet imaging of three nearby
shell galaxies, namely NGC 2865, NGC 5018 and NGC 7135. The system of shells
and fine structures visible in the optical is detected in the NUV image of NGC
2865 and in both NUV and FUV images of NGC 7135. The NUV image of NGC 5018 does
not present shell structures. We detect absorption features in the nuclear
region of all three galaxies. NGC 2865 has a nearly flat colour profile with
(FUV-NUV)~2 throughout the whole galaxy. NGC 7135 is blue in the center
(FUV-NUV)~0 and as red as (FUV-NUV)~1.5 in the outskirts, including the faint
shell-like feature. We investigate the ability of the nuclear GALEX (FUV-NUV)
colour to provide information about rejuvenation phenomena in the stellar
populations of the shell galaxies. To this aim, we derive from theory the
relationship between the Mg2, Hbeta, HgammaA, HdeltaA Lick line-strength
indices and the (FUV-NUV) colour. We extend the study to a sample of early-type
galaxies with emission lines in their optical spectra (Annibali et al. 2007).
In the index vs.(FUV-NUV) colour diagrams, most of the galaxies are well
explained by passively evolving SSPs. On the average, ages and metallicities of
the galaxies in our sample estimated from optical line-strength indices are
consistent with those inferred from the (FUV-NUV) colour. In general, all the
colours but for (FUV-NUV) and (FUV-V), become nearly age insensitive when 1-2
Gyr have elapsed from the last star forming event. Considering composite
stellar population models with a recent burst of star formation, we suggest
that the position of the NGC 7135 and NGC 2865 nuclei in the (FUV-NUV)-Hbeta
plane could be explained in term of a recent rejuvenation episode. (Abridged)
| astro-ph | we present the galex far fuv and near nuv ultraviolet imaging of three nearby shell galaxies namely ngc 2865 ngc 5018 and ngc 7135 the system of shells and fine structures visible in the optical is detected in the nuv image of ngc 2865 and in both nuv and fuv images of ngc 7135 the nuv image of ngc 5018 does not present shell structures we detect absorption features in the nuclear region of all three galaxies ngc 2865 has a nearly flat colour profile with fuvnuv2 throughout the whole galaxy ngc 7135 is blue in the center fuvnuv0 and as red as fuvnuv15 in the outskirts including the faint shelllike feature we investigate the ability of the nuclear galex fuvnuv colour to provide information about rejuvenation phenomena in the stellar populations of the shell galaxies to this aim we derive from theory the relationship between the mg2 hbeta hgammaa hdeltaa lick linestrength indices and the fuvnuv colour we extend the study to a sample of earlytype galaxies with emission lines in their optical spectra annibali et al 2007 in the index vsfuvnuv colour diagrams most of the galaxies are well explained by passively evolving ssps on the average ages and metallicities of the galaxies in our sample estimated from optical linestrength indices are consistent with those inferred from the fuvnuv colour in general all the colours but for fuvnuv and fuvv become nearly age insensitive when 12 gyr have elapsed from the last star forming event considering composite stellar population models with a recent burst of star formation we suggest that the position of the ngc 7135 and ngc 2865 nuclei in the fuvnuvhbeta plane could be explained in term of a recent rejuvenation episode abridged | [['we', 'present', 'the', 'galex', 'far', 'fuv', 'and', 'near', 'nuv', 'ultraviolet', 'imaging', 'of', 'three', 'nearby', 'shell', 'galaxies', 'namely', 'ngc', '2865', 'ngc', '5018', 'and', 'ngc', '7135', 'the', 'system', 'of', 'shells', 'and', 'fine', 'structures', 'visible', 'in', 'the', 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707.2897 | Electroweak structure of the nucleon, meson cloud and light-cone
wavefunctions | The meson-cloud model of the nucleon consisting of a system of three valence
quarks surrounded by a meson cloud is applied to study the electroweak
structure of the proton and neutron. Light-cone wavefunctions are derived for
the dressed nucleon as pictured to be part of the time a bare nucleon and part
of the time a baryon-meson system. Configurations are considered where the
baryon can be a nucleon or a \Delta and the meson can be a pion as well as a
vector meson such as the \rho or the \omega. An overall good description of the
electroweak form factors is obtained. The contribution of the meson cloud is
small and only significant at low Q^2. Mixed-symmetry S'-wave components in the
wavefunction are most important to reproduce the neutron electric form factor.
Charge and magnetization densities are deduced as a function of both the radial
distance from the nucleon center and the transverse distance with respect to
the direction of the three-momentum transfer. In the latter case a central
negative charge is found for the neutron. The up and down quark distributions
associated with the Fourier transform of the axial form factor have opposite
sign, with the consequence that the probability to find an up (down) quark with
positive helicity is maximal when it is (anti)aligned with the proton helicity.
| hep-ph | the mesoncloud model of the nucleon consisting of a system of three valence quarks surrounded by a meson cloud is applied to study the electroweak structure of the proton and neutron lightcone wavefunctions are derived for the dressed nucleon as pictured to be part of the time a bare nucleon and part of the time a baryonmeson system configurations are considered where the baryon can be a nucleon or a delta and the meson can be a pion as well as a vector meson such as the rho or the omega an overall good description of the electroweak form factors is obtained the contribution of the meson cloud is small and only significant at low q2 mixedsymmetry swave components in the wavefunction are most important to reproduce the neutron electric form factor charge and magnetization densities are deduced as a function of both the radial distance from the nucleon center and the transverse distance with respect to the direction of the threemomentum transfer in the latter case a central negative charge is found for the neutron the up and down quark distributions associated with the fourier transform of the axial form factor have opposite sign with the consequence that the probability to find an up down quark with positive helicity is maximal when it is antialigned with the proton helicity | [['the', 'mesoncloud', 'model', 'of', 'the', 'nucleon', 'consisting', 'of', 'a', 'system', 'of', 'three', 'valence', 'quarks', 'surrounded', 'by', 'a', 'meson', 'cloud', 'is', 'applied', 'to', 'study', 'the', 'electroweak', 'structure', 'of', 'the', 'proton', 'and', 'neutron', 'lightcone', 'wavefunctions', 'are', 'derived', 'for', 'the', 'dressed', 'nucleon', 'as', 'pictured', 'to', 'be', 'part', 'of', 'the', 'time', 'a', 'bare', 'nucleon', 'and', 'part', 'of', 'the', 'time', 'a', 'baryonmeson', 'system', 'configurations', 'are', 'considered', 'where', 'the', 'baryon', 'can', 'be', 'a', 'nucleon', 'or', 'a', 'delta', 'and', 'the', 'meson', 'can', 'be', 'a', 'pion', 'as', 'well', 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707.2898 | Meromorphic solutions of higher order Briot-Bouquet differential
equations | For differential equations $P(y^{(k)},y)=0,$ where $P$ is a polynomial, we
prove that all meromorphic solutions having at least one pole are elliptic
functions, possibly degenerate.
| math.CA math.CV | for differential equations pyky0 where p is a polynomial we prove that all meromorphic solutions having at least one pole are elliptic functions possibly degenerate | [['for', 'differential', 'equations', 'pyky0', 'where', 'p', 'is', 'a', 'polynomial', 'we', 'prove', 'that', 'all', 'meromorphic', 'solutions', 'having', 'at', 'least', 'one', 'pole', 'are', 'elliptic', 'functions', 'possibly', 'degenerate']] | [-0.2609017393551767, 0.04511361138429493, -0.12029348145006225, 0.09587716771541939, -0.13671111082658172, -0.23695048889688528, -0.12672150216531008, 0.24877079095070562, -0.3260901435278356, -0.17045728511099392, 0.14778224578670537, -0.40300696219007176, -0.10315589203188817, 0.1983994534239173, 0.025936795126957197, 0.09333244210574776, 0.047036451171152294, 0.08053851888204615, -0.10886884173184323, -0.3199555497461309, 0.45093018483991426, -0.20065826371622583, 0.035154197520265974, 0.006078394517923395, 0.18897743022534996, -0.042809754610061646, 0.04218863943242468, -0.07235777610912919, -0.12344387547303388, 0.02875341259641573, 0.4018605980090797, -0.007108522705190505, 0.2736694111178319, -0.34375388151966035, -0.12622906942851841, 0.2011772181140259, 0.14594191380698854, 0.03615016358283659, 0.014873671005868042, -0.12100973639947672, 0.16479395364876837, -0.0731677608564496, -0.290523733672065, -0.04660324219730683, 0.040932771924417466, 0.07955647764417033, -0.36421864945441484, 0.0647287891479209, 0.015224551898427308, 0.08031031982197116, -0.0735244141057289, -0.2161731430872654, -0.08185613524013509, -0.025221954584897805, 0.00018586982817699513, 0.044276271015405655, -0.011359900158519546, -0.09921336340873192, -0.09006498591043055, 0.30072542120857787, -0.08368598809465766, -0.3151469820489486, 0.10759937761273856, -0.25121940788812935, -0.2061811946138429, 0.20575404757012924, 0.15743262054941928, 0.21950500722353658, -0.1186989340543126, 0.1669098393370708, -0.10775541793555021, 0.09754898981191218, 0.201221484283451, -0.04061271182339018, 0.13012660593570521, 0.023304364488770563, 0.1872400315478444, 0.05357153263563911, 0.06592760343725483, -0.12710994390848404, -0.3976208244760831, -0.12038976732098187, -0.04816024153357527, 0.09939897654112428, -0.09826130231764789, -0.20016224992771944, 0.37165139413749176, -0.03618679820404699, 0.19254115348060927, 0.1185286423569778, 0.20990490152811012, 0.26846763787034433, 0.04609669030954441, 0.12124575331593708, 0.1544038071297109, 0.11654355415763955, 0.028750462962004047, -0.13164366151128584, 0.036917923212361835, 0.17452108400175348] |
707.2899 | Thermodynamics of low dimensional spin-1/2 Heisenberg ferromagnets in an
external magnetic field within Green function formalism | The thermodynamics of low dimensional spin-1/2 Heisenberg ferromagnets (HFM)
in an external magnetic field is investigated within a second-order two-time
Green function formalism in the wide temperature and field range. A crucial
point of the proposed scheme is a proper account of the analytical properties
for the approximate transverse commutator Green function obtained as a result
of the decoupling procedure. A good quantitative description of the correlation
functions, magnetization, susceptibility, and heat capacity of the HFM on a
chain, square and triangular lattices is found for both infinite and
finite-sized systems. The dependences of the thermodynamic functions of 2D HFM
on the cluster size are studied. The obtained results agree well with the
corresponding data found by Bethe ansatz, exact diagonalization, high
temperature series expansions, and quantum Monte Carlo simulations.
| cond-mat.str-el cond-mat.dis-nn | the thermodynamics of low dimensional spin12 heisenberg ferromagnets hfm in an external magnetic field is investigated within a secondorder twotime green function formalism in the wide temperature and field range a crucial point of the proposed scheme is a proper account of the analytical properties for the approximate transverse commutator green function obtained as a result of the decoupling procedure a good quantitative description of the correlation functions magnetization susceptibility and heat capacity of the hfm on a chain square and triangular lattices is found for both infinite and finitesized systems the dependences of the thermodynamic functions of 2d hfm on the cluster size are studied the obtained results agree well with the corresponding data found by bethe ansatz exact diagonalization high temperature series expansions and quantum monte carlo simulations | [['the', 'thermodynamics', 'of', 'low', 'dimensional', 'spin12', 'heisenberg', 'ferromagnets', 'hfm', 'in', 'an', 'external', 'magnetic', 'field', 'is', 'investigated', 'within', 'a', 'secondorder', 'twotime', 'green', 'function', 'formalism', 'in', 'the', 'wide', 'temperature', 'and', 'field', 'range', 'a', 'crucial', 'point', 'of', 'the', 'proposed', 'scheme', 'is', 'a', 'proper', 'account', 'of', 'the', 'analytical', 'properties', 'for', 'the', 'approximate', 'transverse', 'commutator', 'green', 'function', 'obtained', 'as', 'a', 'result', 'of', 'the', 'decoupling', 'procedure', 'a', 'good', 'quantitative', 'description', 'of', 'the', 'correlation', 'functions', 'magnetization', 'susceptibility', 'and', 'heat', 'capacity', 'of', 'the', 'hfm', 'on', 'a', 'chain', 'square', 'and', 'triangular', 'lattices', 'is', 'found', 'for', 'both', 'infinite', 'and', 'finitesized', 'systems', 'the', 'dependences', 'of', 'the', 'thermodynamic', 'functions', 'of', '2d', 'hfm', 'on', 'the', 'cluster', 'size', 'are', 'studied', 'the', 'obtained', 'results', 'agree', 'well', 'with', 'the', 'corresponding', 'data', 'found', 'by', 'bethe', 'ansatz', 'exact', 'diagonalization', 'high', 'temperature', 'series', 'expansions', 'and', 'quantum', 'monte', 'carlo', 'simulations']] | [-0.15607778599055913, 0.1144593614405424, -0.06626022986064736, 0.09298232045078364, -0.014560961538854127, -0.08393131444015756, 0.0385748543866122, 0.37453474072882764, -0.2195586595379819, -0.25300508455122606, 0.07458308580188223, -0.27642340533292065, -0.08720452224728294, 0.22929754611104727, 0.09686401038466451, 0.0942059964980357, 0.03155611576154255, 0.042008360826338714, -0.14538500293946036, -0.1996343315507357, 0.24686253189574928, 0.059453931919191606, 0.33647159098719176, 0.06788732775021344, 0.11710420188297016, 0.07226245542988181, 0.03193959990301384, 0.06307689178591737, -0.18501064184193428, 0.053949332264108724, 0.21050746636465192, -0.0254270457662642, 0.19067244986788584, -0.3953304117545485, -0.2181400685212933, 0.02846556603192137, 0.13258432001368, 0.12374901834588785, -0.038777472639384754, -0.26085677242372185, 0.03098771104302544, -0.19543329313970528, -0.17559543415689124, -0.13463774366805759, -0.023261848864002295, 0.0742118335651377, -0.27853615738926096, 0.12925424377362316, 0.034891111780710235, 0.11601194849667641, -0.08486786065623164, -0.14115889607212292, -0.02823541477510634, 0.12284001130700255, -0.003490672470965924, 0.04436944124261992, 0.11503552465090672, -0.12070353724708324, -0.09946528487400008, 0.32882491186117896, -0.04984066081591523, -0.18012471756396387, 0.1526946137766712, -0.17329832075987583, -0.09832352922441294, 0.1191367126105783, 0.09761554167176095, 0.12546530042130213, -0.19942261015709775, 0.14759440848294897, -0.03629644746677234, 0.1478752173637846, -0.002944871118793694, 0.021362698153377727, 0.18511994685977698, 0.1311624991062742, -0.002494166479804195, 0.19776876211846964, -0.054790648642497566, -0.17886313505542392, -0.28449701527849985, -0.1483020971231711, -0.2722058129102851, 0.06325070942537142, -0.16233887769440816, -0.23064487723705288, 0.362461351942749, 0.11973861385912152, 0.16680670528171154, 0.05669060368986371, 0.25981630086898805, 0.17549357388365583, 0.051545315998821305, 0.0547072368942631, 0.17620131705099573, 0.23775210447000483, 0.09915837439565131, -0.28855544520327103, -0.01157186678968943, 0.10966784308234659] |
707.29 | Zeptosecond $\gamma$-ray pulses | High-order harmonic generation (HHG) in the relativistic regime is employed
to obtain zeptosecond pulses of $\gamma$-rays. The harmonics are generated from
atomic systems in counterpropagating strong attosecond laser pulse trains of
linear polarization. In this setup recollisions of the ionized electrons can be
achieved in the highly relativistic regime via a reversal of the commonly
deteriorating drift and without instability of the electron dynamics such as in
a standing laser wave. As a result, coherent attosecond $\gamma$-rays in the 10
MeV energy range as well as coherent zeptosecond $\gamma$-ray pulses of MeV
photon energy for time-resolved nuclear spectroscopy become feasible.
| physics.atom-ph physics.optics | highorder harmonic generation hhg in the relativistic regime is employed to obtain zeptosecond pulses of gammarays the harmonics are generated from atomic systems in counterpropagating strong attosecond laser pulse trains of linear polarization in this setup recollisions of the ionized electrons can be achieved in the highly relativistic regime via a reversal of the commonly deteriorating drift and without instability of the electron dynamics such as in a standing laser wave as a result coherent attosecond gammarays in the 10 mev energy range as well as coherent zeptosecond gammaray pulses of mev photon energy for timeresolved nuclear spectroscopy become feasible | [['highorder', 'harmonic', 'generation', 'hhg', 'in', 'the', 'relativistic', 'regime', 'is', 'employed', 'to', 'obtain', 'zeptosecond', 'pulses', 'of', 'gammarays', 'the', 'harmonics', 'are', 'generated', 'from', 'atomic', 'systems', 'in', 'counterpropagating', 'strong', 'attosecond', 'laser', 'pulse', 'trains', 'of', 'linear', 'polarization', 'in', 'this', 'setup', 'recollisions', 'of', 'the', 'ionized', 'electrons', 'can', 'be', 'achieved', 'in', 'the', 'highly', 'relativistic', 'regime', 'via', 'a', 'reversal', 'of', 'the', 'commonly', 'deteriorating', 'drift', 'and', 'without', 'instability', 'of', 'the', 'electron', 'dynamics', 'such', 'as', 'in', 'a', 'standing', 'laser', 'wave', 'as', 'a', 'result', 'coherent', 'attosecond', 'gammarays', 'in', 'the', '10', 'mev', 'energy', 'range', 'as', 'well', 'as', 'coherent', 'zeptosecond', 'gammaray', 'pulses', 'of', 'mev', 'photon', 'energy', 'for', 'timeresolved', 'nuclear', 'spectroscopy', 'become', 'feasible']] | [-0.09483719334471971, 0.28843775650952014, -0.053930479185655716, 0.13478850647807122, 0.013838904457516036, -0.1036413950752467, -0.009322364814579487, 0.48035546861588957, -0.2827164710871875, -0.291433288436383, -0.03882824236294255, -0.25758966434979813, 0.028314361427910627, 0.30356087306514384, 0.058520269128493965, 0.07499407841823995, 0.06452298738062381, -0.0946129836072214, 0.03128002972342074, -0.08508557671681047, 0.24147750860545783, 0.12691285025328397, 0.24710150606930256, 0.058901625459548086, 0.12979201147332786, 0.026130143320187926, 0.0741936804773286, -0.11976185793988407, -0.01781234790571034, 0.05491493144072592, 0.29697159938514234, -0.004420785307884216, 0.2560391537565738, -0.4824236045219004, -0.2919506197143346, 0.029736615855945274, 0.1571673912514234, 0.16714183904230595, -0.09018636537250131, -0.299408919622656, -0.027296439453493804, -0.18577913543675095, -0.16061876168474554, -0.04040928752161563, -0.01580502785742283, 0.1421864660270512, -0.26765318801626564, 0.08443997100694105, 0.0371320187964011, 0.017772798156365753, -0.04042336146812886, 0.03586012026760727, -0.0019523299508728087, 0.010072797117754818, 0.03437894996954128, 0.09084127197274938, 0.1560822500794893, -0.15476187083113474, -0.1374927767459303, 0.42610457880422475, -0.11886893139220774, -0.049350647013634445, 0.1286603289330378, -0.22094619473442434, -0.042791246094275266, 0.24923447610810398, 0.1662609187536873, 0.1812378162704408, -0.10738324848003686, -0.009343941191327759, 0.009060345646139467, 0.2248682877724059, 0.19473243364598603, 0.1451675540069118, 0.21147202897816897, 0.17618623096961528, 0.052801351826637984, 0.10887910422752611, -0.16679459646111355, 0.0007074583834037185, -0.2653077759375446, -0.052721723597496745, -0.20404711513314397, 0.11850293388633873, 0.008501744740788126, -0.09669961404055356, 0.4539726660354063, 0.06700734884012491, 0.09547781076282263, -0.09646354099968449, 0.33737685568630693, 0.17646776172798126, -0.010505972830578685, 0.008485176453832536, 0.3432777814718429, 0.18511727903969585, 0.12472904498688876, -0.2573569149454124, -0.025340610798448324, -0.0022429211135022342] |
707.2901 | Effect of in-plane line defects on field-tuned superconductor-insulator
transition behavior in homogeneous thin film | Field-tuned superconductor-insulator transition (FSIT) behavior in 2D
isotropic and homogeneous thin films is usually accompanied by a nonvanishing
critical resistance at low $T$. It is shown that, in a 2D film including line
defects paralle to each other but with random positions perpendicular to them,
the (apparent) critical resistance in low $T$ limit vanishes, as in the 1D
quantum superconducting (SC) transition, under a current parallel to the line
defects. This 1D-like critical resistive behavior is more clearly seen in
systems with weaker point disorder and may be useful in clarifying whether the
true origin of FSIT behavior in the parent superconductor is the glass
fluctuation or the quantum SC fluctuation. As a by-product of the present
calculation, it is also pointed out that, in 2D films with line-like defects
with a long but {\it finite} correlation length parallel to the lines, a
quantum metallic behavior intervening the insulating and SC ones appears in the
resistivity curves.
| cond-mat.supr-con | fieldtuned superconductorinsulator transition fsit behavior in 2d isotropic and homogeneous thin films is usually accompanied by a nonvanishing critical resistance at low t it is shown that in a 2d film including line defects paralle to each other but with random positions perpendicular to them the apparent critical resistance in low t limit vanishes as in the 1d quantum superconducting sc transition under a current parallel to the line defects this 1dlike critical resistive behavior is more clearly seen in systems with weaker point disorder and may be useful in clarifying whether the true origin of fsit behavior in the parent superconductor is the glass fluctuation or the quantum sc fluctuation as a byproduct of the present calculation it is also pointed out that in 2d films with linelike defects with a long but it finite correlation length parallel to the lines a quantum metallic behavior intervening the insulating and sc ones appears in the resistivity curves | [['fieldtuned', 'superconductorinsulator', 'transition', 'fsit', 'behavior', 'in', '2d', 'isotropic', 'and', 'homogeneous', 'thin', 'films', 'is', 'usually', 'accompanied', 'by', 'a', 'nonvanishing', 'critical', 'resistance', 'at', 'low', 't', 'it', 'is', 'shown', 'that', 'in', 'a', '2d', 'film', 'including', 'line', 'defects', 'paralle', 'to', 'each', 'other', 'but', 'with', 'random', 'positions', 'perpendicular', 'to', 'them', 'the', 'apparent', 'critical', 'resistance', 'in', 'low', 't', 'limit', 'vanishes', 'as', 'in', 'the', '1d', 'quantum', 'superconducting', 'sc', 'transition', 'under', 'a', 'current', 'parallel', 'to', 'the', 'line', 'defects', 'this', '1dlike', 'critical', 'resistive', 'behavior', 'is', 'more', 'clearly', 'seen', 'in', 'systems', 'with', 'weaker', 'point', 'disorder', 'and', 'may', 'be', 'useful', 'in', 'clarifying', 'whether', 'the', 'true', 'origin', 'of', 'fsit', 'behavior', 'in', 'the', 'parent', 'superconductor', 'is', 'the', 'glass', 'fluctuation', 'or', 'the', 'quantum', 'sc', 'fluctuation', 'as', 'a', 'byproduct', 'of', 'the', 'present', 'calculation', 'it', 'is', 'also', 'pointed', 'out', 'that', 'in', '2d', 'films', 'with', 'linelike', 'defects', 'with', 'a', 'long', 'but', 'it', 'finite', 'correlation', 'length', 'parallel', 'to', 'the', 'lines', 'a', 'quantum', 'metallic', 'behavior', 'intervening', 'the', 'insulating', 'and', 'sc', 'ones', 'appears', 'in', 'the', 'resistivity', 'curves']] | [-0.1696727891640666, 0.20758167514129758, -0.062403141834343284, 0.03540468010275314, -0.022815094038378447, -0.2129638776099548, 0.06075411235603193, 0.38460336902584785, -0.23645085681420872, -0.23596701880272192, 0.04801605747138055, -0.32752087842434263, -0.1314842799155229, 0.15757877842182866, 0.015818520911778204, 0.04499858085392379, -0.05795745543899755, -0.01408488371481116, -0.1311651768658358, -0.22219198465553255, 0.2871853008997651, 0.046731105573529094, 0.35803822049489004, 0.06717117399220558, -0.010385847005706567, -0.042163057873646416, 0.10702698340472312, 0.10354099014978438, -0.12989641272640887, -0.02278981121101727, 0.29122878706309563, -0.08554513139638285, 0.17532384031428358, -0.4052221489329942, -0.23041609208228644, 0.04965927461998012, 0.1537415268472754, 0.1377835345084373, -0.024480196383639196, -0.25908438454289584, 0.09250415331767634, -0.07141861118352374, -0.15145124149066994, -0.019739117953670362, 0.04465602350851091, -0.022732267636829652, -0.1864634726292794, 0.08451846502001177, 0.11066852724560214, 0.10504468861155403, -0.029736478878662754, -0.07552421113285117, -0.05692885477298823, 0.06795921043092863, 0.0547606657178571, 0.08069654799944076, 0.15059081165833424, -0.14521059475522727, -0.08311872133195627, 0.36030200745862645, -0.057345785630437046, -0.09875652383869657, 0.19215610917532244, -0.1827769314703078, -0.0833755145200158, 0.18751741013823983, 0.05916119362257469, 0.07356307558410873, -0.11589866198408298, 0.06175773317600266, 0.008031915076291906, 0.1646562546429311, 0.0246312719633958, 0.04025466671326938, 0.27820944807265335, 0.17431907859654763, 0.05381722269484248, 0.177938270787798, -0.11062917147202637, -0.08109257545752022, -0.2681465675884213, -0.2021205576363569, -0.19637695488330417, 0.10781173488626686, -0.07957089973812496, -0.2663323754168232, 0.3266455971229917, 0.15479510149452835, 0.22774130067167184, -0.05189256957069469, 0.23639250627886027, 0.11675829343491784, 0.08572112708591306, 0.07651496097409669, 0.21988935212944993, 0.1570651146742957, 0.1649353903202819, -0.23581495211244777, 0.09875119167666596, 0.027440259722658455] |
707.2902 | Fabrication, Dynamics, and Electrical Properties of Insulated SPM Probes
for Electrical and Electromechanical Imaging in Liquids | Insulated cantilever probes with a high aspect ratio conducting apex have
been fabricated and their dynamic and electrical properties analyzed. The
cantilevers were coated with silicon dioxide and a via was fabricated through
the oxide at the tip apex and backfilled with tungsten to create an insulated
probe with a conducting tip. The stiffness and Q-factor of the cantilevers
increased after the modifications and their resonances shifted to higher
frequencies. The coupling strength between the cantilever and the coating are
determined. The applications to conductive and electromechanical imaging of
ferroelectric domains are illustrated, and a probe apex repair process is
demonstrated.
| cond-mat.mtrl-sci | insulated cantilever probes with a high aspect ratio conducting apex have been fabricated and their dynamic and electrical properties analyzed the cantilevers were coated with silicon dioxide and a via was fabricated through the oxide at the tip apex and backfilled with tungsten to create an insulated probe with a conducting tip the stiffness and qfactor of the cantilevers increased after the modifications and their resonances shifted to higher frequencies the coupling strength between the cantilever and the coating are determined the applications to conductive and electromechanical imaging of ferroelectric domains are illustrated and a probe apex repair process is demonstrated | [['insulated', 'cantilever', 'probes', 'with', 'a', 'high', 'aspect', 'ratio', 'conducting', 'apex', 'have', 'been', 'fabricated', 'and', 'their', 'dynamic', 'and', 'electrical', 'properties', 'analyzed', 'the', 'cantilevers', 'were', 'coated', 'with', 'silicon', 'dioxide', 'and', 'a', 'via', 'was', 'fabricated', 'through', 'the', 'oxide', 'at', 'the', 'tip', 'apex', 'and', 'backfilled', 'with', 'tungsten', 'to', 'create', 'an', 'insulated', 'probe', 'with', 'a', 'conducting', 'tip', 'the', 'stiffness', 'and', 'qfactor', 'of', 'the', 'cantilevers', 'increased', 'after', 'the', 'modifications', 'and', 'their', 'resonances', 'shifted', 'to', 'higher', 'frequencies', 'the', 'coupling', 'strength', 'between', 'the', 'cantilever', 'and', 'the', 'coating', 'are', 'determined', 'the', 'applications', 'to', 'conductive', 'and', 'electromechanical', 'imaging', 'of', 'ferroelectric', 'domains', 'are', 'illustrated', 'and', 'a', 'probe', 'apex', 'repair', 'process', 'is', 'demonstrated']] | [-0.09665299909189344, 0.1654707836000307, -0.0029217314114794134, -0.10496176519014626, -0.04112960675731301, -0.21261971786618233, 0.055672145560383794, 0.4721583800017834, -0.23934516113251447, -0.3421738824993372, 0.10633732890710235, -0.33072351752780377, -0.09008183915633708, 0.2190706563554704, 0.0040968592185527085, 0.05060732784681022, 0.026385192386806013, -0.09620414519216865, -0.021783256959170102, -0.1235369977913797, 0.19027089960873128, 0.10460095584392548, 0.3270218763500452, 0.10851455526892095, 0.12685405816184356, -0.08061313273385168, 0.07627885868772864, 0.046850397461093964, -0.1466951054893434, 0.11396493501961232, 0.236470034904778, -0.09473954849643633, 0.20147451656404883, -0.4999166002124548, -0.14476564598735422, -0.02813803045079112, 0.0872269902471453, 0.09249570939689875, -0.04994154973886907, -0.3108467579050921, 0.0687866114845383, -0.055697334478609264, -0.1630279297567904, -0.03606058407574892, -0.027298297584056854, 0.042646738577168435, -0.24362971990485677, -0.0140674058906734, -0.027089191861450673, 0.09332861106842756, -0.05738397140987218, -0.12417763005709276, -0.07085855535697191, 0.10981983022298664, 0.007023185712459963, 0.006168864723294973, 0.3339056811016053, -0.1075134389102459, -0.06504683746490628, 0.3071385063976049, -0.039539458747021854, -0.1305194771438255, 0.22107216385658832, -0.15679987400770187, 0.046522559244185684, 0.15194181327242404, 0.11608091745220009, 0.09864205079153181, -0.17734359790571033, 0.008352522919303738, 0.10553684336133301, 0.19200662614777683, 0.20682516897155437, 0.03624970633536577, 0.24689747695811093, 0.263215012550354, -0.0019451781245879828, 0.23146134085021913, -0.16404723442159594, 0.05463879279792309, -0.18677086850599153, -0.17588379910681395, -0.19572366211446934, 0.017757891132496297, -0.0930704107262136, -0.2030266061378643, 0.342087968805572, 0.04547262518317439, 0.16984080109745264, -0.05597526899538934, 0.32604369953274726, 0.03599307203665376, 0.12694422078784556, -0.04666240582475439, 0.3583504089526832, 0.21797677683411165, 0.14226539738010616, -0.28163844264578075, 0.07238430358935148, -0.036480033830739556] |
707.2903 | Speckle Interferometry of Metal-Poor Stars in the Solar Neighborhood. I | We report the results of speckle-interferometric observations of 109 high
proper-motion metal-poor stars made with the 6-m telescope of the Special
Astrophysical Observatory of the Russian Academy of Sciences. We resolve eight
objects -- G102-20, G191-55, BD+19$^\circ$~1185A, G89-14, G87-45, G87-47,
G111-38, and G114-25 -- into individual components and we are the first to
astrometrically resolve seven of these stars. New resolved systems included two
triple (G111-38, G87-47) and one quadruple (G89-14) star. The ratio of
single-to-binary-to-triple-to-quadruple systems among the stars of our sample
is equal to 71:28:6:1.
| astro-ph | we report the results of speckleinterferometric observations of 109 high propermotion metalpoor stars made with the 6m telescope of the special astrophysical observatory of the russian academy of sciences we resolve eight objects g10220 g19155 bd19circ1185a g8914 g8745 g8747 g11138 and g11425 into individual components and we are the first to astrometrically resolve seven of these stars new resolved systems included two triple g11138 g8747 and one quadruple g8914 star the ratio of singletobinarytotripletoquadruple systems among the stars of our sample is equal to 712861 | [['we', 'report', 'the', 'results', 'of', 'speckleinterferometric', 'observations', 'of', '109', 'high', 'propermotion', 'metalpoor', 'stars', 'made', 'with', 'the', '6m', 'telescope', 'of', 'the', 'special', 'astrophysical', 'observatory', 'of', 'the', 'russian', 'academy', 'of', 'sciences', 'we', 'resolve', 'eight', 'objects', 'g10220', 'g19155', 'bd19circ1185a', 'g8914', 'g8745', 'g8747', 'g11138', 'and', 'g11425', 'into', 'individual', 'components', 'and', 'we', 'are', 'the', 'first', 'to', 'astrometrically', 'resolve', 'seven', 'of', 'these', 'stars', 'new', 'resolved', 'systems', 'included', 'two', 'triple', 'g11138', 'g8747', 'and', 'one', 'quadruple', 'g8914', 'star', 'the', 'ratio', 'of', 'singletobinarytotripletoquadruple', 'systems', 'among', 'the', 'stars', 'of', 'our', 'sample', 'is', 'equal', 'to', '712861']] | [-0.13308770306829415, 0.08761111462539801, -0.025745915606209677, 0.0406790360846646, -0.12611375273243614, -0.062405820859417524, 0.07438050815197703, 0.357578008397393, -0.1237551708233683, -0.4137371518738466, 0.06527341423198989, -0.342350625780679, -0.04901591722202832, 0.23659740717306554, -0.04367226748791051, -0.00906185213195747, 0.14734810742562357, -0.07146451402493842, -0.019385967174009103, -0.31692679328461215, 0.35260307251743667, 0.05054303199971375, 0.1309503909098367, -0.07807112616576152, 0.12921881176250644, -0.1266487439111998, -0.13087561711260717, -0.021421749699758748, -0.12221101887064846, 0.09228136871418316, 0.27000649709713787, 0.16293601513113062, 0.2172259505429905, -0.3354077600320436, -0.10485930381062096, 0.024517096898020948, 0.11964965230236722, 0.006528845356700764, 0.0041750064374853485, -0.3026734554808434, 0.06849980524307346, -0.14491262814438302, -0.19610580805791158, 0.030151535176404128, 0.019574644516081843, 0.06672574965002602, -0.1595403893327672, 0.04208669692041888, 0.008018487174548719, 0.10685188623068675, -0.14982680511487048, -0.19783001307921153, -0.0023157650027551676, 0.17949769668893456, 0.008573026801395702, -0.02652077151028669, 0.0534262165669607, -0.09423291809499672, -0.061628302865444795, 0.4492177506781196, -0.061898641859193984, -0.029281410299343606, 0.23044069782409765, -0.25603210476979815, -0.2801607626566842, 0.0907516206745441, 0.1805494068547675, 0.19140927419576742, -0.19790675829177443, -0.016716793386029615, -0.009864746656728117, 0.20914714710710391, 0.08277522618818568, 0.0602974723960745, 0.2908327532421848, 0.1231393442068198, -0.024454603817777178, 0.09438568514720728, -0.2797550207182561, -0.05681002383719977, -0.20916044413533114, -0.1811165473525961, -0.10571181948204231, 0.05783919035776021, -0.08978557600005856, -0.08997926746227153, 0.3357517259220963, 0.11539115898362169, 0.15817313611328807, -0.054999246370455585, 0.27562162584995165, 0.04106941256091662, 0.09979443150023891, 0.03597291516242166, 0.3247069143371223, 0.20196056826524947, 0.09133957936237119, -0.2280032631099122, -0.005975922818410478, -0.006206608534079326] |
707.2904 | The 10^5Lsun High-Mass Protostellar Object IRAS23151+5912 | While most sources above 10^5Lsun have already formed an Ultracompact HII
region (UCHII), this is not necessarily the case for sources of lower
luminosity. Characterizing sources in the transition phase, i.e., very luminous
objects without any detectable free-free emission, is important for a general
understanding of massive star formation. Therefore, we observed the luminous
High-Mass Protostellar Object IRAS23151+5912 with the Submillimeter Array at
875mum in the submm continuum and spectral line emission at sub-arcsecond
resolution. The 875mum submm continuum emission has been resolved into at least
two condensations. The previously believed driving source of one of the
outflows, the infrared source IRS1, is ~0.9'' offset from the main submm peak.
Over the entire 4GHz bandwidth we detect an intermediate dense spectral line
forest with 27 lines from 8 different species, isotopologues or
vibrationally-torsionally excited states. Temperature estimates based on the
CH3OH line series result in values of T(Peak1)~150+-50K and T(Peak2)~80~30K for
the two submm peak positions, respectively. The SiO(8-7) red- and blue-shifted
line maps indicate the presence of two molecular outflows. In contrast, the
vibrationally-torsionally excited CH3OH line exhibits a velocity gradient
approximately perpendicular to one of the outflows. With a size of
approximately 5000AU and no Keplerian rotation signature, this structure does
not resemble a genuine accretion disk but rather a larger-scale rotating toroid
that may harbor a more common accretion disk at its so far unresolved center.
| astro-ph | while most sources above 105lsun have already formed an ultracompact hii region uchii this is not necessarily the case for sources of lower luminosity characterizing sources in the transition phase ie very luminous objects without any detectable freefree emission is important for a general understanding of massive star formation therefore we observed the luminous highmass protostellar object iras231515912 with the submillimeter array at 875mum in the submm continuum and spectral line emission at subarcsecond resolution the 875mum submm continuum emission has been resolved into at least two condensations the previously believed driving source of one of the outflows the infrared source irs1 is 09 offset from the main submm peak over the entire 4ghz bandwidth we detect an intermediate dense spectral line forest with 27 lines from 8 different species isotopologues or vibrationallytorsionally excited states temperature estimates based on the ch3oh line series result in values of tpeak115050k and tpeak28030k for the two submm peak positions respectively the sio87 red and blueshifted line maps indicate the presence of two molecular outflows in contrast the vibrationallytorsionally excited ch3oh line exhibits a velocity gradient approximately perpendicular to one of the outflows with a size of approximately 5000au and no keplerian rotation signature this structure does not resemble a genuine accretion disk but rather a largerscale rotating toroid that may harbor a more common accretion disk at its so far unresolved center | [['while', 'most', 'sources', 'above', '105lsun', 'have', 'already', 'formed', 'an', 'ultracompact', 'hii', 'region', 'uchii', 'this', 'is', 'not', 'necessarily', 'the', 'case', 'for', 'sources', 'of', 'lower', 'luminosity', 'characterizing', 'sources', 'in', 'the', 'transition', 'phase', 'ie', 'very', 'luminous', 'objects', 'without', 'any', 'detectable', 'freefree', 'emission', 'is', 'important', 'for', 'a', 'general', 'understanding', 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707.2905 | Molecular line radiative transfer in protoplanetary disks: Monte Carlo
simulations versus approximate methods | We analyze the line radiative transfer in protoplanetary disks using several
approximate methods and a well-tested Accelerated Monte Carlo code. A low-mass
flaring disk model with uniform as well as stratified molecular abundances is
adopted. Radiative transfer in low and high rotational lines of CO, C18O, HCO+,
DCO+, HCN, CS, and H2CO is simulated. The corresponding excitation
temperatures, synthetic spectra, and channel maps are derived and compared to
the results of the Monte Carlo calculations. A simple scheme that describes the
conditions of the line excitation for a chosen molecular transition is
elaborated. We find that the simple LTE approach can safely be applied for the
low molecular transitions only, while it significantly overestimates the
intensities of the upper lines. In contrast, the Full Escape Probability (FEP)
approximation can safely be used for the upper transitions ($J_{\rm up} \ga 3$)
but it is not appropriate for the lowest transitions because of the maser
effect. In general, the molecular lines in protoplanetary disks are partly
subthermally excited and require more sophisticated approximate line radiative
transfer methods. We analyze a number of approximate methods, namely, LVG, VEP
(Vertical Escape Probability) and VOR (Vertical One Ray) and discuss their
algorithms in detail. In addition, two modifications to the canonical Monte
Carlo algorithm that allow a significant speed up of the line radiative
transfer modeling in rotating configurations by a factor of 10--50 are
described.
| astro-ph | we analyze the line radiative transfer in protoplanetary disks using several approximate methods and a welltested accelerated monte carlo code a lowmass flaring disk model with uniform as well as stratified molecular abundances is adopted radiative transfer in low and high rotational lines of co c18o hco dco hcn cs and h2co is simulated the corresponding excitation temperatures synthetic spectra and channel maps are derived and compared to the results of the monte carlo calculations a simple scheme that describes the conditions of the line excitation for a chosen molecular transition is elaborated we find that the simple lte approach can safely be applied for the low molecular transitions only while it significantly overestimates the intensities of the upper lines in contrast the full escape probability fep approximation can safely be used for the upper transitions j_rm up ga 3 but it is not appropriate for the lowest transitions because of the maser effect in general the molecular lines in protoplanetary disks are partly subthermally excited and require more sophisticated approximate line radiative transfer methods we analyze a number of approximate methods namely lvg vep vertical escape probability and vor vertical one ray and discuss their algorithms in detail in addition two modifications to the canonical monte carlo algorithm that allow a significant speed up of the line radiative transfer modeling in rotating configurations by a factor of 1050 are described | [['we', 'analyze', 'the', 'line', 'radiative', 'transfer', 'in', 'protoplanetary', 'disks', 'using', 'several', 'approximate', 'methods', 'and', 'a', 'welltested', 'accelerated', 'monte', 'carlo', 'code', 'a', 'lowmass', 'flaring', 'disk', 'model', 'with', 'uniform', 'as', 'well', 'as', 'stratified', 'molecular', 'abundances', 'is', 'adopted', 'radiative', 'transfer', 'in', 'low', 'and', 'high', 'rotational', 'lines', 'of', 'co', 'c18o', 'hco', 'dco', 'hcn', 'cs', 'and', 'h2co', 'is', 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707.2906 | Two-loop renormalization of scalar and pseudoscalar fermion bilinears on
the lattice | We compute the two-loop renormalization functions, in the RI $^\prime$
scheme, of local bilinear quark operators $\bar{\psi}\Gamma\psi$, where
$\Gamma$ denotes the Scalar and Pseudoscalar Dirac matrices, in the lattice
formulation of QCD. We consider both the flavor non-singlet and singlet
operators; the latter, in the scalar case, leads directly to the two-loop
fermion mass renormalization, $Z_m$.
As a prerequisite for the above, we also compute the quark field
renormalization, $Z_{\psi}$, up to two loops.
We use the clover action for fermions and the Wilson action for gluons. Our
results are given as a polynomial in $c_{SW}$, in terms of both the
renormalized and bare coupling constant, in the renormalized Feynman gauge. We
also confirm the 1-loop renormalization functions, for generic gauge.
Finally, we present our results in the $\bar{MS}$ scheme, for easier
comparison with calculations in the continuum.
The corresponding results, for fermions in an arbitrary representation, are
included in an Appendix.
| hep-lat | we compute the twoloop renormalization functions in the ri prime scheme of local bilinear quark operators barpsigammapsi where gamma denotes the scalar and pseudoscalar dirac matrices in the lattice formulation of qcd we consider both the flavor nonsinglet and singlet operators the latter in the scalar case leads directly to the twoloop fermion mass renormalization z_m as a prerequisite for the above we also compute the quark field renormalization z_psi up to two loops we use the clover action for fermions and the wilson action for gluons our results are given as a polynomial in c_sw in terms of both the renormalized and bare coupling constant in the renormalized feynman gauge we also confirm the 1loop renormalization functions for generic gauge finally we present our results in the barms scheme for easier comparison with calculations in the continuum the corresponding results for fermions in an arbitrary representation are included in an appendix | [['we', 'compute', 'the', 'twoloop', 'renormalization', 'functions', 'in', 'the', 'ri', 'prime', 'scheme', 'of', 'local', 'bilinear', 'quark', 'operators', 'barpsigammapsi', 'where', 'gamma', 'denotes', 'the', 'scalar', 'and', 'pseudoscalar', 'dirac', 'matrices', 'in', 'the', 'lattice', 'formulation', 'of', 'qcd', 'we', 'consider', 'both', 'the', 'flavor', 'nonsinglet', 'and', 'singlet', 'operators', 'the', 'latter', 'in', 'the', 'scalar', 'case', 'leads', 'directly', 'to', 'the', 'twoloop', 'fermion', 'mass', 'renormalization', 'z_m', 'as', 'a', 'prerequisite', 'for', 'the', 'above', 'we', 'also', 'compute', 'the', 'quark', 'field', 'renormalization', 'z_psi', 'up', 'to', 'two', 'loops', 'we', 'use', 'the', 'clover', 'action', 'for', 'fermions', 'and', 'the', 'wilson', 'action', 'for', 'gluons', 'our', 'results', 'are', 'given', 'as', 'a', 'polynomial', 'in', 'c_sw', 'in', 'terms', 'of', 'both', 'the', 'renormalized', 'and', 'bare', 'coupling', 'constant', 'in', 'the', 'renormalized', 'feynman', 'gauge', 'we', 'also', 'confirm', 'the', '1loop', 'renormalization', 'functions', 'for', 'generic', 'gauge', 'finally', 'we', 'present', 'our', 'results', 'in', 'the', 'barms', 'scheme', 'for', 'easier', 'comparison', 'with', 'calculations', 'in', 'the', 'continuum', 'the', 'corresponding', 'results', 'for', 'fermions', 'in', 'an', 'arbitrary', 'representation', 'are', 'included', 'in', 'an', 'appendix']] | [-0.12364438106305897, 0.23386196815504504, -0.05901032726978883, 0.11264431287877653, -0.032027890207245946, -0.08877516409235173, 0.044713104636206195, 0.3664479680592194, -0.15820483796874454, -0.2216818577757007, 0.01149897143630752, -0.2855526587656258, -0.12415747323661651, 0.1275628982096494, 0.04162025244410248, 0.0817343349902474, 0.019132979357412917, 0.05439617524940619, -0.14373277521716724, -0.2696067568720441, 0.385734468556046, -0.031254565710888096, 0.20110758418511404, 0.17402978195643395, 0.05220274899252936, 0.04405297402263386, -0.06555672934413642, -0.07947275877660631, -0.08838167282029692, 0.06903344091015721, 0.19748399492374646, -0.027746167952979083, 0.1460396203267584, -0.3666800132609512, -0.12826115251664305, 0.08006755057967414, 0.16412513295654207, 0.118927091326393, -0.031178497569941867, -0.2699228300893753, 0.08715362776006498, -0.2225233420674493, -0.1648348774653737, -0.1547072852447041, -0.061223252507165614, -0.09809010554071344, -0.35094614825701637, 0.05763013359300155, -0.08346756683405195, 0.027295112874430504, -0.041525930974258746, -0.16675716651891553, -0.02360687889526353, 0.1047353552023292, 0.09321939049665448, 0.06916534783943605, 0.07974105417471085, -0.21552297155568867, -0.1326941246531389, 0.43856599290953263, -0.1510783326402337, -0.2541826330630819, 0.10582082326781299, -0.1503184586273212, -0.15321568994917661, 0.05840521341887277, 0.13418176444860078, 0.13968310715618396, -0.14837810986577288, 0.19569605382582123, -0.09271406388449434, 0.10744808547468365, 0.05017657682765275, 0.031441114456882996, 0.12286303646473434, 0.06972548277362396, 0.03613890234766203, 0.11101804817505916, -0.008013774748082812, -0.1092317074776235, -0.42916493029578734, -0.1599561055435946, -0.13949602434877306, 0.04855111878561346, -0.17352566358251925, -0.167627122138296, 0.42853218609769483, 0.16492649217099442, 0.18427910354588867, 0.07895824842700294, 0.25595449408252824, 0.16321957145670526, 0.11818877225404752, 0.08238314746535923, 0.216376435097405, 0.18175552290018746, 0.07655875889682456, -0.3091500040731932, -0.13432388270341203, 0.20280384250585676] |
707.2907 | Group theoretical approach to quantum fields in de Sitter space II. The
complementary and discrete series | We use an algebraic approach based on representations of de Sitter group to
construct covariant quantum fields in arbitrary dimensions. We study the
complementary and the discrete series which correspond to light and massless
fields and which lead new feature with respect to the massive principal series
we previously studied (hep-th/0606119). When considering the complementary
series, we make use of a non-trivial scalar product in order to get local
expressions in the position representation. Based on these, we construct a
family of covariant canonical fields parametrized by SU(1,1)/U(1). Each of
these correspond to the dS invariant alpha-vacua. The behavior of the modes at
asymptotic times brings another difficulty as it is incompatible with the usual
definition of the in and out vacua. We propose a generalized notion of these
vacua which reduces to the usual conformal vacuum in the conformally massless
limit. When considering the massless discrete series we find that no covariant
field obeys the canonical commutation relations. To further analyze this
singular case, we consider the massless limit of the complementary scalar
fields we previously found. We obtain canonical fields with a deformed
representation by zero modes. The zero modes have a dS invariant vacuum with
singular norm. We propose a regularization by a compactification of the scalar
field and a dS invariant definition of the vertex operators. The resulting
two-point functions are dS invariant and have a universal logarithmic infrared
divergence.
| hep-th | we use an algebraic approach based on representations of de sitter group to construct covariant quantum fields in arbitrary dimensions we study the complementary and the discrete series which correspond to light and massless fields and which lead new feature with respect to the massive principal series we previously studied hepth0606119 when considering the complementary series we make use of a nontrivial scalar product in order to get local expressions in the position representation based on these we construct a family of covariant canonical fields parametrized by su11u1 each of these correspond to the ds invariant alphavacua the behavior of the modes at asymptotic times brings another difficulty as it is incompatible with the usual definition of the in and out vacua we propose a generalized notion of these vacua which reduces to the usual conformal vacuum in the conformally massless limit when considering the massless discrete series we find that no covariant field obeys the canonical commutation relations to further analyze this singular case we consider the massless limit of the complementary scalar fields we previously found we obtain canonical fields with a deformed representation by zero modes the zero modes have a ds invariant vacuum with singular norm we propose a regularization by a compactification of the scalar field and a ds invariant definition of the vertex operators the resulting twopoint functions are ds invariant and have a universal logarithmic infrared divergence | [['we', 'use', 'an', 'algebraic', 'approach', 'based', 'on', 'representations', 'of', 'de', 'sitter', 'group', 'to', 'construct', 'covariant', 'quantum', 'fields', 'in', 'arbitrary', 'dimensions', 'we', 'study', 'the', 'complementary', 'and', 'the', 'discrete', 'series', 'which', 'correspond', 'to', 'light', 'and', 'massless', 'fields', 'and', 'which', 'lead', 'new', 'feature', 'with', 'respect', 'to', 'the', 'massive', 'principal', 'series', 'we', 'previously', 'studied', 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707.2908 | Some particular self-interacting diffusions: Ergodic behaviour and
almost sure convergence | This paper deals with some self-interacting diffusions $(X_t,t\geq 0)$ living
on $\mathbb{R}^d$. These diffusions are solutions to stochastic differential
equations: \[\mathrm{d}X_t=\mathrm{d}B_t-g(t)\nabla
V(X_t-\bar{\mu}_t)\,\mathrm{d}t,\] where $\bar{\mu}_t$ is the empirical mean of
the process $X$, $V$ is an asymptotically strictly convex potential and $g$ is
a given function. We study the ergodic behaviour of $X$ and prove that it is
strongly related to $g$. Actually, we show that $X$ is ergodic (in the limit
quotient sense) if and only if $\bar{\mu}_t$ converges a.s. We also give some
conditions (on $g$ and $V$) for the almost sure convergence of $X$.
| math.PR math.ST stat.TH | this paper deals with some selfinteracting diffusions x_ttgeq 0 living on mathbbrd these diffusions are solutions to stochastic differential equations mathrmdx_tmathrmdb_tgtnabla vx_tbarmu_tmathrmdt where barmu_t is the empirical mean of the process x v is an asymptotically strictly convex potential and g is a given function we study the ergodic behaviour of x and prove that it is strongly related to g actually we show that x is ergodic in the limit quotient sense if and only if barmu_t converges as we also give some conditions on g and v for the almost sure convergence of x | [['this', 'paper', 'deals', 'with', 'some', 'selfinteracting', 'diffusions', 'x_ttgeq', '0', 'living', 'on', 'mathbbrd', 'these', 'diffusions', 'are', 'solutions', 'to', 'stochastic', 'differential', 'equations', 'mathrmdx_tmathrmdb_tgtnabla', 'vx_tbarmu_tmathrmdt', 'where', 'barmu_t', 'is', 'the', 'empirical', 'mean', 'of', 'the', 'process', 'x', 'v', 'is', 'an', 'asymptotically', 'strictly', 'convex', 'potential', 'and', 'g', 'is', 'a', 'given', 'function', 'we', 'study', 'the', 'ergodic', 'behaviour', 'of', 'x', 'and', 'prove', 'that', 'it', 'is', 'strongly', 'related', 'to', 'g', 'actually', 'we', 'show', 'that', 'x', 'is', 'ergodic', 'in', 'the', 'limit', 'quotient', 'sense', 'if', 'and', 'only', 'if', 'barmu_t', 'converges', 'as', 'we', 'also', 'give', 'some', 'conditions', 'on', 'g', 'and', 'v', 'for', 'the', 'almost', 'sure', 'convergence', 'of', 'x']] | [-0.1523388835658478, 0.1067107094396364, -0.08925982074257224, 0.040647144031317244, -0.042630767467075045, -0.14330830159993407, 0.01973151148698154, 0.40490904521751914, -0.29616864754798566, -0.1498568690520652, 0.12613647343823686, -0.33956775881667084, -0.17678858900561611, 0.1620350293815136, -0.13227620113026747, 0.01015235469775631, 0.05990652183189671, 0.12983286179641776, -0.04414511702340493, -0.30300740930350856, 0.3344892234878337, -0.06763524255972911, 0.20611231718608675, 0.049817523764238314, 0.16746278111129365, -0.017496563538790068, 0.029656544218751343, 0.0268347774572829, -0.1856842645045501, 0.057746683029418294, 0.2237483383295067, 0.09464151842985302, 0.2849445639009726, -0.31820436557655796, -0.1668259810626586, 0.20483958048428944, 0.1521159961836368, -0.03729318753052057, -0.01622113933727304, -0.25914560095902456, 0.13234568428386875, -0.07293526892688998, -0.16185217525096648, -0.06640810814705934, 0.09538862813620809, 0.08682845019428258, -0.3260132082282229, 0.0581987819784851, 0.13143754185752032, 0.01700993638208255, -0.030446090284695335, -0.10348310091711105, -0.047754614916134704, 0.047729558098387526, 0.06457349891307457, 0.07968899429567713, 0.09573804883861002, -0.07210409134735372, -0.0534451409314878, 0.360881951672243, -0.12248939312400019, -0.2648705907284896, 0.17168388204114077, -0.2188544665968561, -0.13885952413894553, 0.10466318292682, 0.13341093271911303, 0.2014371604817186, -0.14960002303717934, 0.21240875321103536, -0.09833502734297926, 0.09805335689019015, 0.031167237410084047, 0.008774455815078096, 0.0969588531854939, 0.13284181261514413, 0.20437496952511905, 0.09543135546227084, 0.0191998046852569, -0.04693394994482081, -0.3782061693119876, -0.1589278101207728, -0.16095495815487934, 0.18386102802407472, -0.10123489079241482, -0.18379021073354684, 0.286450951013397, 0.12629687889142238, 0.16936021790582131, 0.1376388568054647, 0.17938537850104114, 0.17004002659071354, -0.09968348070880041, 0.12383702206623523, 0.12613739276693717, 0.17581431042809198, 0.0381402723550638, -0.16141835238507135, 0.07087251425601859, 0.11300624894136761] |
707.2909 | Evolutionary dynamics and diversity in populations | The dynamics of populations is rich, taking into account that both, the
individual's actions and the population's fitness are coupled. The way in which
an individual chooses a strategy depends off course on the interaction with
other individuals and the relation between selection and mutation within the
population. The present model considers individuals with {\it memory}. This
memory is represented by a device where information of past actions is stored
as bits in a 1D Ising chain. The selection of a new individual action depends
on the individual's memory. If the selection of a strategy does not improve the
individual's fitness, a new individual with different memory size replaces it.
Both, actions and memory are observables that characterize the population. They
can change in time, and both depend on the fitness of the population. This
model allows the implementation of {\it learning} parameters as well as an {\it
external information source}, acting as an {\it external field} which drives
individuals to select one preferred action. In particular we show that the {\it
diversity} of the population, measured as a {\it Shannon's diversity index}
(equivalent to a neg-entropy), is not only related to the {\it energy
consumption and size} of the system, but is also related to the way in which
the individuals are influenced by the {\it external field}.
| physics.bio-ph physics.soc-ph | the dynamics of populations is rich taking into account that both the individuals actions and the populations fitness are coupled the way in which an individual chooses a strategy depends off course on the interaction with other individuals and the relation between selection and mutation within the population the present model considers individuals with it memory this memory is represented by a device where information of past actions is stored as bits in a 1d ising chain the selection of a new individual action depends on the individuals memory if the selection of a strategy does not improve the individuals fitness a new individual with different memory size replaces it both actions and memory are observables that characterize the population they can change in time and both depend on the fitness of the population this model allows the implementation of it learning parameters as well as an it external information source acting as an it external field which drives individuals to select one preferred action in particular we show that the it diversity of the population measured as a it shannons diversity index equivalent to a negentropy is not only related to the it energy consumption and size of the system but is also related to the way in which the individuals are influenced by the it external field | [['the', 'dynamics', 'of', 'populations', 'is', 'rich', 'taking', 'into', 'account', 'that', 'both', 'the', 'individuals', 'actions', 'and', 'the', 'populations', 'fitness', 'are', 'coupled', 'the', 'way', 'in', 'which', 'an', 'individual', 'chooses', 'a', 'strategy', 'depends', 'off', 'course', 'on', 'the', 'interaction', 'with', 'other', 'individuals', 'and', 'the', 'relation', 'between', 'selection', 'and', 'mutation', 'within', 'the', 'population', 'the', 'present', 'model', 'considers', 'individuals', 'with', 'it', 'memory', 'this', 'memory', 'is', 'represented', 'by', 'a', 'device', 'where', 'information', 'of', 'past', 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707.291 | Convergence in distribution of some particular self-interacting
diffusions: the simulated annealing method | The present paper is concerned with some self-interacting diffusions
$(X_t,t\geq 0)$ living on $\mathbb{R}^d$. These diffusions are solutions to
stochastic differential equations: $$\mathrm{d}X_t = \mathrm{d}B_t - g(t)\nabla
V(X_t - \bar{\mu}_t) \mathrm{d}t$$ where $\bar{\mu}_t$ is the empirical mean of
the process $X$, $V$ is an asymptotically strictly convex potential and $g$ is
a given function. The authors have still studied the ergodic behavior of $X$
and proved that it is strongly related to $g$. We go further and give necessary
and sufficient conditions (for small $g$'s) in order that $X$ converges in
probability to $X_\infty$ (which is related to the global minima of $V$).
| math.PR | the present paper is concerned with some selfinteracting diffusions x_ttgeq 0 living on mathbbrd these diffusions are solutions to stochastic differential equations mathrmdx_t mathrmdb_t gtnabla vx_t barmu_t mathrmdt where barmu_t is the empirical mean of the process x v is an asymptotically strictly convex potential and g is a given function the authors have still studied the ergodic behavior of x and proved that it is strongly related to g we go further and give necessary and sufficient conditions for small gs in order that x converges in probability to x_infty which is related to the global minima of v | [['the', 'present', 'paper', 'is', 'concerned', 'with', 'some', 'selfinteracting', 'diffusions', 'x_ttgeq', '0', 'living', 'on', 'mathbbrd', 'these', 'diffusions', 'are', 'solutions', 'to', 'stochastic', 'differential', 'equations', 'mathrmdx_t', 'mathrmdb_t', 'gtnabla', 'vx_t', 'barmu_t', 'mathrmdt', 'where', 'barmu_t', 'is', 'the', 'empirical', 'mean', 'of', 'the', 'process', 'x', 'v', 'is', 'an', 'asymptotically', 'strictly', 'convex', 'potential', 'and', 'g', 'is', 'a', 'given', 'function', 'the', 'authors', 'have', 'still', 'studied', 'the', 'ergodic', 'behavior', 'of', 'x', 'and', 'proved', 'that', 'it', 'is', 'strongly', 'related', 'to', 'g', 'we', 'go', 'further', 'and', 'give', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'small', 'gs', 'in', 'order', 'that', 'x', 'converges', 'in', 'probability', 'to', 'x_infty', 'which', 'is', 'related', 'to', 'the', 'global', 'minima', 'of', 'v']] | [-0.14678694098856607, 0.1061388286871454, -0.07168937410160746, 0.05733589575570524, -0.04328524943239526, -0.15369111503541624, 0.0137475131706037, 0.36882913016627744, -0.2720124338916743, -0.19160832801699332, 0.11710121210414878, -0.3195988392822214, -0.16286565226109065, 0.13396291845698946, -0.11085427491973664, 0.05607579156910021, 0.01910798107609921, 0.10901792381995733, -0.033083208250938, -0.2955261089061339, 0.31606420582717226, -0.029516290575649935, 0.19939060393029573, 0.05088795218784746, 0.13631031823526954, -0.0444716590543076, 0.016374164695381044, 0.02449787333223623, -0.19906719862894495, 0.07340977079122202, 0.23769112670621306, 0.10596117137249597, 0.2810121288273445, -0.35786963163961455, -0.17332294899682255, 0.17661738665486426, 0.13228656545721867, -0.011074107962410859, -0.022609587745577787, -0.269126914748826, 0.12968713989884584, -0.07579123792382553, -0.15897501304208003, -0.06954330873925277, 0.09915209409886415, 0.08447143296979982, -0.32582735623588266, 0.0782402014148604, 0.09789615346253225, 0.013548377588074463, -0.04488288190158218, -0.1320879484344389, -0.04777207010972899, 0.06427440856650625, 0.06860448175425564, 0.10388546123063748, 0.07421467579017903, -0.08380142780808136, -0.055199402130026484, 0.35077499307346405, -0.0770984384790543, -0.25045198094599025, 0.17902511827282838, -0.18730083954299695, -0.11626165210912676, 0.13639153495488554, 0.13740540718774974, 0.1894271791979824, -0.17530604823463664, 0.1781295838660186, -0.05563754749186721, 0.09912562043857329, 0.02604833332168841, -0.010945979438568513, 0.10267651033318918, 0.13365736218726204, 0.1737834576285713, 0.09559691964274215, -0.0035107894926619974, -0.08134311538660112, -0.34427582952625974, -0.14460206451374538, -0.16581435514537177, 0.13978503705194392, -0.06552826003927603, -0.1701957613095334, 0.3187693680274137, 0.12406447152943187, 0.18181581277707495, 0.08988109728940714, 0.1649536202402459, 0.18440122478677573, -0.05930412904906672, 0.08631006550984745, 0.1414062076061604, 0.17537820690849162, 0.08350233995288457, -0.16874668489872796, 0.07260635363168477, 0.08479521653528527] |
707.2911 | Half or full core-hole in density functional theory X-ray absorption
spectrum calculations of water? | We analyze the performance of two different core-hole potentials in the
theoretical modeling of XAS of ice, liquid and gas phase water; the use of a
full core-hole (FCH) in the calculations, as suggested by Hetenyi et al. [J.
Chem. Phys. 120 (18), 8632 (2004)], gives poor agreement with experiment in
terms of intensity distribution as well as transition energies, while the half
core hole (HCH) potential, in the case of water, provides a better compromise
between initial and final state effects, leading to good agreement with the
experimental data.
| cond-mat.soft cond-mat.mtrl-sci | we analyze the performance of two different corehole potentials in the theoretical modeling of xas of ice liquid and gas phase water the use of a full corehole fch in the calculations as suggested by hetenyi et al j chem phys 120 18 8632 2004 gives poor agreement with experiment in terms of intensity distribution as well as transition energies while the half core hole hch potential in the case of water provides a better compromise between initial and final state effects leading to good agreement with the experimental data | [['we', 'analyze', 'the', 'performance', 'of', 'two', 'different', 'corehole', 'potentials', 'in', 'the', 'theoretical', 'modeling', 'of', 'xas', 'of', 'ice', 'liquid', 'and', 'gas', 'phase', 'water', 'the', 'use', 'of', 'a', 'full', 'corehole', 'fch', 'in', 'the', 'calculations', 'as', 'suggested', 'by', 'hetenyi', 'et', 'al', 'j', 'chem', 'phys', '120', '18', '8632', '2004', 'gives', 'poor', 'agreement', 'with', 'experiment', 'in', 'terms', 'of', 'intensity', 'distribution', 'as', 'well', 'as', 'transition', 'energies', 'while', 'the', 'half', 'core', 'hole', 'hch', 'potential', 'in', 'the', 'case', 'of', 'water', 'provides', 'a', 'better', 'compromise', 'between', 'initial', 'and', 'final', 'state', 'effects', 'leading', 'to', 'good', 'agreement', 'with', 'the', 'experimental', 'data']] | [-0.04604037237429489, 0.0662967785774322, -0.041296778390644474, 0.027673709551604947, 0.01758555977950605, -0.08900790825862898, 0.10464357813883028, 0.3533638378898247, -0.1296016568516831, -0.3958311962445131, 0.005666260649397802, -0.32866972209781076, -0.08095754548028279, 0.1372691688593477, -0.0195329862207258, 0.06878508343832211, 0.07903731912583782, -0.06625444031310047, -0.08629222862681457, -0.2094693421019932, 0.23202906503980414, 0.14583418360293915, 0.27870154931122343, 0.1093988192759538, 0.038808366732431175, 0.031766139457441785, 0.007785163432610839, -0.01001920381539993, -0.16326747673532266, 0.05994527949689982, 0.2578817301461201, 0.036155013053604725, 0.21035704678029157, -0.4480343559401089, -0.20818217595767105, 0.037853317908168344, 0.08057160849233022, 0.1188050038416692, -0.04456466861236631, -0.2681043165385346, -0.0030067765331837568, -0.21042375124760726, -0.14692915640666745, -0.07031700135407488, 0.05940423138293155, 0.0564216909929456, -0.2760641644250999, 0.1615890189743695, 0.013172652210067078, 0.054125444410846886, -0.07919739466422143, -0.19146504309656245, -0.0889335496984213, 0.08872646491011876, 0.0029133776872513, 0.09214542660694779, 0.10393945000061158, -0.07989142128800074, -0.09470385337363552, 0.4012789839585678, -0.10267749702913707, -0.07259990310484774, 0.23161290839230747, -0.1624699504313509, -0.06103682414408815, 0.15932918129635326, 0.08505190631343323, 0.07005778941773193, -0.11413003338417144, 0.05228389336942078, -0.043406587261497306, 0.17476152358158084, 0.07634818995517961, 0.03181051812510744, 0.19749031778100584, 0.18198244185762458, -0.03153022397518827, 0.1202234531428372, -0.12862467776534012, -0.138172560212532, -0.25192899383562667, -0.16188110463488636, -0.17342496669283555, 0.010882930547584978, -0.04269490348602896, -0.12526550384636007, 0.38497877503965006, 0.12155929076998087, 0.24196190468632103, -0.02471843184484692, 0.2313113842169974, 0.03888058473664765, -0.035381559094183904, 0.05955060882744997, 0.2950338176399302, 0.15584750485271634, 0.14769743460628174, -0.2573721915734618, 0.0656212019744549, 0.00042443136485774863] |
707.2912 | Frictional quantum decoherence | The dynamics associated with a measurement-based master equation for quantum
Brownian motion are investigated. A scheme for obtaining time evolution from
general initial conditions is derived. This is applied to analyze dissipation
and decoherence in the evolution of both a Gaussian and a Schr\"{o}dinger cat
initial state. Dependence on the diffusive terms present in the master equation
is discussed with reference to both the coordinate and momentum
representations.
| quant-ph | the dynamics associated with a measurementbased master equation for quantum brownian motion are investigated a scheme for obtaining time evolution from general initial conditions is derived this is applied to analyze dissipation and decoherence in the evolution of both a gaussian and a schrodinger cat initial state dependence on the diffusive terms present in the master equation is discussed with reference to both the coordinate and momentum representations | [['the', 'dynamics', 'associated', 'with', 'a', 'measurementbased', 'master', 'equation', 'for', 'quantum', 'brownian', 'motion', 'are', 'investigated', 'a', 'scheme', 'for', 'obtaining', 'time', 'evolution', 'from', 'general', 'initial', 'conditions', 'is', 'derived', 'this', 'is', 'applied', 'to', 'analyze', 'dissipation', 'and', 'decoherence', 'in', 'the', 'evolution', 'of', 'both', 'a', 'gaussian', 'and', 'a', 'schrodinger', 'cat', 'initial', 'state', 'dependence', 'on', 'the', 'diffusive', 'terms', 'present', 'in', 'the', 'master', 'equation', 'is', 'discussed', 'with', 'reference', 'to', 'both', 'the', 'coordinate', 'and', 'momentum', 'representations']] | [-0.12629328553071795, 0.11770814898259499, -0.13450833716813257, 0.06487667448613245, -0.027628395333201352, -0.12652525004437742, -0.030911549706669414, 0.34537874359418363, -0.2759728550582248, -0.23845460706883492, 0.09360000520246103, -0.2242165831164183, -0.09770290783661253, 0.20722116423798176, -0.013934734003508793, 0.08383404627195834, 0.10135857103844448, 0.04315100440426784, -0.07701831739669775, -0.19195246104808414, 0.32827061729724794, 0.01424915698760956, 0.2777094566674136, -0.04106544108842226, 0.17101401001598468, -0.002665712354321252, -0.00032063003848580756, -0.019708075409974244, -0.13643004902748063, 0.062014993105549365, 0.1872582688982434, 0.04940852661178831, 0.2685000348514329, -0.4088276114917415, -0.24458110206486547, 0.04599650499499951, 0.130365870817674, 0.20853040234514458, -0.07374096460647278, -0.33582267581539993, -0.0045805790269856945, -0.14261825229315198, -0.15899076817988636, -0.0717431738260476, 0.0749006812385393, 0.03964560924727908, -0.2752875780330642, 0.14444952282493057, 0.008316323917824775, 0.007820010623511146, -0.1293797882287489, -0.04680176850867129, -0.01813565015190226, 0.10700250236807145, -0.05370978598126813, 0.01795123626395841, 0.12111515598371625, -0.15269469966605195, -0.10024811609593384, 0.41327714506427154, -0.09313408649690888, -0.3089402707238846, 0.16680656533400692, -0.13853073470732746, -0.070101591587231, 0.079564122702269, 0.13941183436990662, 0.09226865980171543, -0.21849835485986926, 0.08827693076027036, 0.048441100454724884, 0.11198359431171626, 0.02956410509068519, 0.05991431896537131, 0.11094462462043499, 0.15708177833927467, 0.02767955039299148, 0.15438479574068503, -0.055808481668731584, -0.22685101362602675, -0.35527196745662126, -0.15852785735007593, -0.1757174164214281, 0.1215452503221219, -0.05833618417455, -0.13541550436468028, 0.40624805968373573, 0.1426116716431673, 0.18203617476940373, 0.05620974000981625, 0.2703872856629245, 0.23042610343819594, -0.036324361037901216, 0.10940275181030087, 0.18627547191949012, 0.17982786719906418, 0.1410816762911375, -0.32595399063532515, 0.0552186864798012, 0.06384624096715603] |
707.2913 | Possible vortex splitting in the cuprate superconductors | We propose that the observed splitting of the vortices in the cuprates into
fractional vortices (partons) may be of static rather than of dynamic origin.
This interpretation is backed by a study of a model with a dominant d-wave and
subdominant s-wave pairing interaction. We find that the vortex may split into
two partons, both of which carry one half of the magnetic flux quantum. The
partons are hold together by a confining string along which the phase jumps
approximately by pi and their equilibrium distance increases with lowering the
energy difference epsilon between the pairing states. The partons become
deconfined at the critical point where epsilon vanishes.
| cond-mat.supr-con | we propose that the observed splitting of the vortices in the cuprates into fractional vortices partons may be of static rather than of dynamic origin this interpretation is backed by a study of a model with a dominant dwave and subdominant swave pairing interaction we find that the vortex may split into two partons both of which carry one half of the magnetic flux quantum the partons are hold together by a confining string along which the phase jumps approximately by pi and their equilibrium distance increases with lowering the energy difference epsilon between the pairing states the partons become deconfined at the critical point where epsilon vanishes | [['we', 'propose', 'that', 'the', 'observed', 'splitting', 'of', 'the', 'vortices', 'in', 'the', 'cuprates', 'into', 'fractional', 'vortices', 'partons', 'may', 'be', 'of', 'static', 'rather', 'than', 'of', 'dynamic', 'origin', 'this', 'interpretation', 'is', 'backed', 'by', 'a', 'study', 'of', 'a', 'model', 'with', 'a', 'dominant', 'dwave', 'and', 'subdominant', 'swave', 'pairing', 'interaction', 'we', 'find', 'that', 'the', 'vortex', 'may', 'split', 'into', 'two', 'partons', 'both', 'of', 'which', 'carry', 'one', 'half', 'of', 'the', 'magnetic', 'flux', 'quantum', 'the', 'partons', 'are', 'hold', 'together', 'by', 'a', 'confining', 'string', 'along', 'which', 'the', 'phase', 'jumps', 'approximately', 'by', 'pi', 'and', 'their', 'equilibrium', 'distance', 'increases', 'with', 'lowering', 'the', 'energy', 'difference', 'epsilon', 'between', 'the', 'pairing', 'states', 'the', 'partons', 'become', 'deconfined', 'at', 'the', 'critical', 'point', 'where', 'epsilon', 'vanishes']] | [-0.20849264489704553, 0.2801619540184253, -0.12328386768112304, 0.11103499933853056, -0.0395436824032071, -0.13125583729534238, 0.06576231065749501, 0.33363307326281855, -0.23706130356165683, -0.25753256149969445, 0.0008506926447066858, -0.31781263804684085, -0.03998489813723912, 0.09980563441489788, 0.06687895382788998, -0.01599990567558928, 0.0026865682577610845, 0.02204209175478253, -0.08098720302977772, -0.19802287913518268, 0.36714237658479426, -0.0038102731955910307, 0.2544675028313779, 0.0875596770050901, 0.04719930055499491, 0.010561574351784118, 0.039760261299778464, 0.01414657703652564, -0.10450272310023408, 0.05967646893016839, 0.2149256124011353, -0.0321797727762411, 0.22525121532466816, -0.4493387554841185, -0.1977057194388989, 0.08680114196397846, 0.19728623563423753, 0.1086225973386145, -0.006939639223101376, -0.2609499043750542, 0.07349728020253005, -0.163341734838603, -0.1448458503043555, -0.06102390896908387, 0.005641200743546641, -0.008491787544227447, -0.2266294379434031, 0.08662045667706816, 0.0789254967606178, 0.007423086747251175, -0.05145390126078079, -0.13969338328698305, -0.06653156488081785, 0.06418960345736532, 0.10148271280383968, 0.1051704645764807, 0.12117594129543889, -0.18003152394279218, -0.11945099537088363, 0.36877350155609073, -0.009255624271274967, -0.13714890526952567, 0.12358894475349828, -0.14388787592502517, -0.04113552871691623, 0.1856952543969749, 0.10940206497993872, 0.05989960633666703, -0.09897691997509726, 0.041257151961973354, -0.024730326685433585, 0.16880274942188947, 0.06808533070876298, 0.06189956136599735, 0.28146708427273015, 0.1419543224317884, 0.06278575132428496, 0.15890073325135745, -0.10848937650142168, -0.17349435299358987, -0.3429940822189329, -0.14064423895561723, -0.17675515973543818, 0.04925681504903844, -0.0901816395902036, -0.1798513101896754, 0.35892166378390455, 0.10839867738239398, 0.25470733848864996, -0.027992086670430447, 0.27747108241439694, 0.13896375991990445, 0.06589868053129909, 0.1245525924583759, 0.2455815225796498, 0.127519993221439, 0.09397399402223527, -0.293007950233813, 0.0280085888872337, 0.05378405350536384] |
707.2914 | Pretty clean monomial ideals and linear quotients | We study basic properties of monomial ideals with linear quotients. It is
shown that if the monomial ideal $I$ has linear quotients, then the squarefree
part of $I$ and each component of $I$ as well as $\mm I$ have linear quotients,
where $\mm$ is the graded maximal ideal of the polynomial ring. As an analogy
to the Rearrangement Lemma of Bj\"orner and Wachs we also show that for a
monomial ideal with linear quotients the admissible order of the generators can
be chosen degree increasingly.
As a generalization of the facet ideal of a forest, we define monomial ideals
of forest type and show that they are pretty clean. This result recovers a
recent result of Tuly and Villarreal about the shellability of a clutter with
the free vertex property. As another consequence of this result we show that if
$I$ is a monomial ideal of forest type, then Stanley's conjecture on Stanley
decomposition holds for $S/I$. We also show that a clutter is totally balanced
if and only if it has the free vertex property.
| math.AC | we study basic properties of monomial ideals with linear quotients it is shown that if the monomial ideal i has linear quotients then the squarefree part of i and each component of i as well as mm i have linear quotients where mm is the graded maximal ideal of the polynomial ring as an analogy to the rearrangement lemma of bjorner and wachs we also show that for a monomial ideal with linear quotients the admissible order of the generators can be chosen degree increasingly as a generalization of the facet ideal of a forest we define monomial ideals of forest type and show that they are pretty clean this result recovers a recent result of tuly and villarreal about the shellability of a clutter with the free vertex property as another consequence of this result we show that if i is a monomial ideal of forest type then stanleys conjecture on stanley decomposition holds for si we also show that a clutter is totally balanced if and only if it has the free vertex property | [['we', 'study', 'basic', 'properties', 'of', 'monomial', 'ideals', 'with', 'linear', 'quotients', 'it', 'is', 'shown', 'that', 'if', 'the', 'monomial', 'ideal', 'i', 'has', 'linear', 'quotients', 'then', 'the', 'squarefree', 'part', 'of', 'i', 'and', 'each', 'component', 'of', 'i', 'as', 'well', 'as', 'mm', 'i', 'have', 'linear', 'quotients', 'where', 'mm', 'is', 'the', 'graded', 'maximal', 'ideal', 'of', 'the', 'polynomial', 'ring', 'as', 'an', 'analogy', 'to', 'the', 'rearrangement', 'lemma', 'of', 'bjorner', 'and', 'wachs', 'we', 'also', 'show', 'that', 'for', 'a', 'monomial', 'ideal', 'with', 'linear', 'quotients', 'the', 'admissible', 'order', 'of', 'the', 'generators', 'can', 'be', 'chosen', 'degree', 'increasingly', 'as', 'a', 'generalization', 'of', 'the', 'facet', 'ideal', 'of', 'a', 'forest', 'we', 'define', 'monomial', 'ideals', 'of', 'forest', 'type', 'and', 'show', 'that', 'they', 'are', 'pretty', 'clean', 'this', 'result', 'recovers', 'a', 'recent', 'result', 'of', 'tuly', 'and', 'villarreal', 'about', 'the', 'shellability', 'of', 'a', 'clutter', 'with', 'the', 'free', 'vertex', 'property', 'as', 'another', 'consequence', 'of', 'this', 'result', 'we', 'show', 'that', 'if', 'i', 'is', 'a', 'monomial', 'ideal', 'of', 'forest', 'type', 'then', 'stanleys', 'conjecture', 'on', 'stanley', 'decomposition', 'holds', 'for', 'si', 'we', 'also', 'show', 'that', 'a', 'clutter', 'is', 'totally', 'balanced', 'if', 'and', 'only', 'if', 'it', 'has', 'the', 'free', 'vertex', 'property']] | [-0.09116566799514528, 0.08012669837842362, -0.06400871298675026, 0.010276930748618076, -0.0898940825848175, -0.15796889297930258, -0.049635101343904225, 0.3472385837882757, -0.37972532853484153, -0.1638437996033047, 0.12156396646318691, -0.2764592316028263, -0.17423734136990138, 0.15952551499142179, -0.11907403467223049, -0.0077224834210106305, 0.06902091183566621, 0.07145570909338338, -0.025196975455619396, -0.32846667061958995, 0.3614844229391643, 0.045132342076727325, 0.2050223944575659, 0.0603675833770207, 0.12400029533143554, 0.007779780565095799, -0.023462459058001903, 0.08347277059253039, -0.16424345863953932, 0.07768982133595273, 0.28209677841514347, 0.15411309899762274, 0.23612113193209683, -0.35570358927760803, -0.10021804730940077, 0.19772245338053576, 0.11282445602651153, 0.05521551054553129, -0.01531519531471921, -0.15665417403514897, 0.16054734581815344, -0.19054976725626538, -0.1927229116378086, -0.04663738773869617, 0.08890397780707904, 0.057976365237097656, -0.3209495531714388, -0.007440686838900937, 0.20256214214289295, 0.1287926363230716, 0.015444172277514424, -0.11414559453991907, -0.07897349065036646, 0.02101486818199711, -0.05324469826051167, 0.009502332637618694, 0.05172872890585235, -0.14107918521123272, -0.1330408714139568, 0.3884412706004722, -0.06640837525350175, -0.18975427491856472, 0.14432750668243638, -0.16580243403092026, -0.1403359651485724, 0.06450679322704672, 0.02893835174185889, 0.11633601962123066, -0.029114568467651095, 0.1511217791517265, -0.19458756847040995, 0.08505439223522054, 0.11512006922758052, 0.04007990752213768, 0.14818411084690264, 0.09320190215483308, 0.10747855266439728, 0.1724301544197702, -0.016762586067031536, 0.044995341376135395, -0.34333523093589713, -0.21671139165759087, -0.18913302286395003, 0.1386946592326941, -0.11531101863656659, -0.19092120638965362, 0.4056059812807611, 0.10825169585911291, 0.17774136702929225, 0.09833263001803841, 0.2420974245614239, 0.08502582289045676, 0.03984504130801984, 0.06219834297097155, 0.15952204079234175, 0.18672226662614516, -0.039053411417241606, -0.1314221760876743, 0.047787674386719506, 0.1748860081152192] |
707.2915 | Gamma-ray background: a review | The gamma-ray background is still a subject under great debate.
All phenomena in the universe emitting gamma-rays can contribute directly as
diffuse emission or as an isotropic component from unresolved point sources.
The question of the origin of the extragalactic component cannot be answered
without determining the galactic emission. To discuss in detail all models
resulting in gamma-ray background contributions is far beyond the scope of this
paper. Therefore the focus will be on recent publications on the extragalactic
high energy (>100 MeV) part of the gamma-ray background.
| astro-ph | the gammaray background is still a subject under great debate all phenomena in the universe emitting gammarays can contribute directly as diffuse emission or as an isotropic component from unresolved point sources the question of the origin of the extragalactic component cannot be answered without determining the galactic emission to discuss in detail all models resulting in gammaray background contributions is far beyond the scope of this paper therefore the focus will be on recent publications on the extragalactic high energy 100 mev part of the gammaray background | [['the', 'gammaray', 'background', 'is', 'still', 'a', 'subject', 'under', 'great', 'debate', 'all', 'phenomena', 'in', 'the', 'universe', 'emitting', 'gammarays', 'can', 'contribute', 'directly', 'as', 'diffuse', 'emission', 'or', 'as', 'an', 'isotropic', 'component', 'from', 'unresolved', 'point', 'sources', 'the', 'question', 'of', 'the', 'origin', 'of', 'the', 'extragalactic', 'component', 'can', 'not', 'be', 'answered', 'without', 'determining', 'the', 'galactic', 'emission', 'to', 'discuss', 'in', 'detail', 'all', 'models', 'resulting', 'in', 'gammaray', 'background', 'contributions', 'is', 'far', 'beyond', 'the', 'scope', 'of', 'this', 'paper', 'therefore', 'the', 'focus', 'will', 'be', 'on', 'recent', 'publications', 'on', 'the', 'extragalactic', 'high', 'energy', '100', 'mev', 'part', 'of', 'the', 'gammaray', 'background']] | [-0.035397499710781856, 0.15581917972189474, -0.021935237545436352, 0.1584760432322562, -0.12383556264888212, -0.017429678931078885, 0.019201557959032275, 0.40662231474193966, -0.23580983245556944, -0.3197018661002597, 0.053597618129857805, -0.3390703483411435, -0.010806137729917517, 0.23065599397065514, -0.022276764950097613, -0.06094324929911769, 0.02191670822777381, -0.02591589398765832, 0.019604482316527137, -0.24411873942439893, 0.3240072297957841, 0.164611561485472, 0.23214438257822662, 0.11398631124953436, 0.05818523133822372, -0.08548770674106697, -0.07373844060963125, -0.0416526384023803, -0.0530793136404304, 0.06632564446347336, 0.2765566928309648, 0.1417067674187462, 0.20428783360219907, -0.3905685189902113, -0.31254901381188566, 0.15876129742586212, 0.18645414907820104, 0.04604590300658948, -0.04462744523457178, -0.2948823853741201, 0.03840070017848917, -0.12824689252092764, -0.18544131695303354, 0.04228569268709404, -0.010367033521780807, -0.010538941527863315, -0.10551319138429473, 0.0622591089896774, 0.07442081357310579, 0.036410670968170245, -0.09800048685224538, -0.08742878728368308, 0.06677736377531893, 0.09167427234508599, 0.10525998776043462, 0.09648231220211875, 0.18540383117754808, -0.1865304361039961, -0.10238184108074462, 0.4508267639393217, -0.06619248653270221, -0.1077031045210328, 0.1586588112156043, -0.1876222944577758, -0.20474309574163865, 0.18798228578505974, 0.1770411408192405, 0.08729256726729454, -0.22224898092197568, 0.11558790491328816, -0.0030785582834080365, 0.18025716992907403, 0.01703612969173223, 0.08333205735164412, 0.3329925885779804, 0.1312204835899802, 0.035302989838875073, 0.12380482453926142, -0.19315629065287918, -0.006836058278934339, -0.31664434672343766, -0.05871273987413792, -0.15635652105805328, 0.14217078909974445, -0.022980705248924455, -0.12984623530489822, 0.3999468188711934, 0.14202799905729846, 0.1788145841486501, -0.042570307387792494, 0.3188736039433586, 0.06073340301380985, 0.01832517103051369, 0.09887316244329965, 0.3666657032131144, 0.10257306770327386, 0.09876707964315173, -0.13730194497843054, 0.09248664544168023, -0.05888968181869622] |
707.2916 | Effect of connecting wires on the decoherence due to electron-electron
interaction in a metallic ring | We consider the weak localization in a ring connected to reservoirs through
leads of finite length and submitted to a magnetic field. The effect of
decoherence due to electron-electron interaction on the harmonics of AAS
oscillations is studied, and more specifically the effect of the leads. Two
results are obtained for short and long leads regimes. The scale at which the
crossover occurs is discussed. The long leads regime is shown to be more
realistic experimentally.
| cond-mat.dis-nn cond-mat.mes-hall | we consider the weak localization in a ring connected to reservoirs through leads of finite length and submitted to a magnetic field the effect of decoherence due to electronelectron interaction on the harmonics of aas oscillations is studied and more specifically the effect of the leads two results are obtained for short and long leads regimes the scale at which the crossover occurs is discussed the long leads regime is shown to be more realistic experimentally | [['we', 'consider', 'the', 'weak', 'localization', 'in', 'a', 'ring', 'connected', 'to', 'reservoirs', 'through', 'leads', 'of', 'finite', 'length', 'and', 'submitted', 'to', 'a', 'magnetic', 'field', 'the', 'effect', 'of', 'decoherence', 'due', 'to', 'electronelectron', 'interaction', 'on', 'the', 'harmonics', 'of', 'aas', 'oscillations', 'is', 'studied', 'and', 'more', 'specifically', 'the', 'effect', 'of', 'the', 'leads', 'two', 'results', 'are', 'obtained', 'for', 'short', 'and', 'long', 'leads', 'regimes', 'the', 'scale', 'at', 'which', 'the', 'crossover', 'occurs', 'is', 'discussed', 'the', 'long', 'leads', 'regime', 'is', 'shown', 'to', 'be', 'more', 'realistic', 'experimentally']] | [-0.20684468842534298, 0.20901065422099477, -0.0751893790775763, 0.07952976692927462, -0.019077660577175647, -0.13683317995348357, -0.024341695396670776, 0.3529699368794498, -0.26271870648978574, -0.24265123887820855, 0.05244626092424273, -0.2617162778654969, -0.11845435395126085, 0.23159988992847502, 0.007330796975446374, -0.03573206113038683, 0.03851112895522659, 0.05324533476347202, -0.033797169594388256, -0.22907544262891047, 0.31322931900228324, 0.06865076183978665, 0.30138714756130386, 0.13815627217684923, 0.0698740919990661, -0.00792584019271951, 0.0026525319798996576, 0.06071389357461349, -0.11784167612744281, 0.026320785492364513, 0.20539173325845408, -0.03662804919172471, 0.2743604661112553, -0.4694889937772563, -0.18761525350916936, 0.06671553396307373, 0.1256652884124043, 0.17143867569699833, -0.015017479385852838, -0.2697882186192529, 0.0674850651718627, -0.1554534377677268, -0.10867787621866323, -0.033017798277892564, 0.061897617980752044, -0.0004380549500255208, -0.309579852098403, 0.10876926397108228, 0.08230286728786795, 0.01906267527833973, -0.008032754290309784, -0.019958309767963856, 0.051500594506873505, 0.127683207508342, 0.0840874300169832, 0.013119262581887213, 0.09696453629600767, -0.11144179467871589, -0.05456150242427707, 0.40905162059138284, -0.08844696678907464, -0.14237895981702758, 0.24644574475180553, -0.1672619760257045, -0.03274883851592772, 0.16719402769874586, 0.1393637310492953, 0.10892772393325638, -0.1260499889153595, 0.07652947731012798, 0.011973974975071064, 0.13700101745474202, 0.050908177882727036, 0.06671825251051862, 0.20220708036427631, 0.21039717846648082, 0.0687006897309115, 0.20280332604919463, -0.12706965188753153, -0.09121294373548344, -0.2393673480439343, -0.06763169385100666, -0.16845542324804946, 0.05786730147481553, -0.03018139763432708, -0.13520873344226092, 0.41687703064005627, 0.17559215367624634, 0.21386132054153437, 0.024290494279212954, 0.22256847221012177, 0.15067673122853434, 0.09375128929968923, 0.013291453777224217, 0.27955411384372336, 0.16120693156967478, 0.07233110060425181, -0.2775848586767863, 0.056383069494347036, 0.022214166124620915] |
707.2917 | Renormalization Group and Asymptotic Spin--Charge separation for Chiral
Luttinger liquids | The phenomenon of Spin-Charge separation in non-Fermi liquids is well
understood only in certain solvable d=1 fermionic systems. In this paper we
furnish the first example of asymptotic Spin-Charge separation in a d=1 non
solvable model. This goal is achieved using Renormalization Group approach
combined with Ward-Identities and Schwinger-Dyson equations, corrected by the
presence of a bandwidth cut-offs. Such methods, contrary to bosonization, could
be in principle applied also to lattice or higher dimensional systems.
| cond-mat.str-el math-ph math.MP | the phenomenon of spincharge separation in nonfermi liquids is well understood only in certain solvable d1 fermionic systems in this paper we furnish the first example of asymptotic spincharge separation in a d1 non solvable model this goal is achieved using renormalization group approach combined with wardidentities and schwingerdyson equations corrected by the presence of a bandwidth cutoffs such methods contrary to bosonization could be in principle applied also to lattice or higher dimensional systems | [['the', 'phenomenon', 'of', 'spincharge', 'separation', 'in', 'nonfermi', 'liquids', 'is', 'well', 'understood', 'only', 'in', 'certain', 'solvable', 'd1', 'fermionic', 'systems', 'in', 'this', 'paper', 'we', 'furnish', 'the', 'first', 'example', 'of', 'asymptotic', 'spincharge', 'separation', 'in', 'a', 'd1', 'non', 'solvable', 'model', 'this', 'goal', 'is', 'achieved', 'using', 'renormalization', 'group', 'approach', 'combined', 'with', 'wardidentities', 'and', 'schwingerdyson', 'equations', 'corrected', 'by', 'the', 'presence', 'of', 'a', 'bandwidth', 'cutoffs', 'such', 'methods', 'contrary', 'to', 'bosonization', 'could', 'be', 'in', 'principle', 'applied', 'also', 'to', 'lattice', 'or', 'higher', 'dimensional', 'systems']] | [-0.15382625358800092, 0.13821823986557621, -0.11031159620732069, 0.09957355979209145, -0.04835288624589642, -0.20596822579701743, 0.04436213688459247, 0.3695636202643315, -0.22596706597755353, -0.24915698312222959, 0.07194037896736215, -0.2303046137839556, -0.17386522754716377, 0.1588617919005143, -0.0446954006018738, 0.042596216139694054, -0.011016140209200482, 0.011334797044595083, -0.11163668053845564, -0.24881499781583746, 0.27460020886113246, -0.014250903182740634, 0.25119930600126583, 0.0638780799197654, 0.08428872036437193, 0.007987816290309032, 0.05043510138367613, 0.07718004775544007, -0.10579316365843018, 0.07412226665765047, 0.30764181511787075, -0.026866785796980062, 0.21444612369562188, -0.3790636469423771, -0.23865770923594634, 0.07245680576500793, 0.21097830472979695, 0.18879308072229226, -0.0011021851437787215, -0.27981660058101016, 0.02743521299213171, -0.23492516907552877, -0.19011810582131147, -0.10293019451200962, -0.0367583612849315, -0.050752185496191184, -0.22900558246920505, 0.14704531247688768, 0.08770205567435672, 0.09572794443180707, -0.04029414346053575, -0.09258950425932805, 0.030292906081303955, 0.04268741416744888, 0.032220244489920634, 0.003687529830882947, 0.06879670104787995, -0.12145205392317925, -0.13574238949765763, 0.3984913126130899, -0.09424489642182986, -0.22797637314904326, 0.2359541840851307, -0.1374604734343787, -0.16309188596904278, 0.12833160816381375, 0.11786287631218632, 0.14254037007689477, -0.16860336794207492, 0.1270571616656768, -0.03376008740315835, 0.1710427882025639, 0.03923240914940834, 0.03988560924927394, 0.1861966530047357, 0.19191393942882617, 0.05363139828046163, 0.13002143087331205, -0.005958809331059456, -0.0806611994964381, -0.32023640473683673, -0.1243013306086262, -0.22820060433199008, 0.07131677584101756, -0.05583297155157197, -0.10682120069861412, 0.3296387818704049, 0.17272570349508898, 0.1413547648396343, 0.00887880898391207, 0.22056325480341912, 0.1732984910905361, 0.06290828502426545, 0.030893572643399238, 0.20687322556972504, 0.15217924394023916, 0.06232049428702643, -0.2685365261447926, -0.048719387458016475, 0.15519774883985518] |
707.2918 | Anderson Localization of Bogolyubov Quasiparticles in Interacting
Bose-Einstein Condensates | We study the Anderson localization of Bogolyubov quasiparticles in an
interacting Bose-Einstein condensate (with healing length \xi) subjected to a
random potential (with finite correlation length \sigma_R). We derive
analytically the Lyapunov exponent as a function of the quasiparticle momentum
k and we study the localization maximum k_{max}. For 1D speckle potentials, we
find that k_{max} is proportional to 1/\xi when \xi is much larger than
\sigma_R while k_{max} is proportional to 1/\sigma_R when \xi is much smaller
than \sigma_R, and that the localization is strongest when \xi is of the order
of \sigma_R. Numerical calculations support our analysis and our estimates
indicate that the localization of the Bogolyubov quasiparticles is accessible
in current experiments with ultracold atoms.
| cond-mat.other | we study the anderson localization of bogolyubov quasiparticles in an interacting boseeinstein condensate with healing length xi subjected to a random potential with finite correlation length sigma_r we derive analytically the lyapunov exponent as a function of the quasiparticle momentum k and we study the localization maximum k_max for 1d speckle potentials we find that k_max is proportional to 1xi when xi is much larger than sigma_r while k_max is proportional to 1sigma_r when xi is much smaller than sigma_r and that the localization is strongest when xi is of the order of sigma_r numerical calculations support our analysis and our estimates indicate that the localization of the bogolyubov quasiparticles is accessible in current experiments with ultracold atoms | [['we', 'study', 'the', 'anderson', 'localization', 'of', 'bogolyubov', 'quasiparticles', 'in', 'an', 'interacting', 'boseeinstein', 'condensate', 'with', 'healing', 'length', 'xi', 'subjected', 'to', 'a', 'random', 'potential', 'with', 'finite', 'correlation', 'length', 'sigma_r', 'we', 'derive', 'analytically', 'the', 'lyapunov', 'exponent', 'as', 'a', 'function', 'of', 'the', 'quasiparticle', 'momentum', 'k', 'and', 'we', 'study', 'the', 'localization', 'maximum', 'k_max', 'for', '1d', 'speckle', 'potentials', 'we', 'find', 'that', 'k_max', 'is', 'proportional', 'to', '1xi', 'when', 'xi', 'is', 'much', 'larger', 'than', 'sigma_r', 'while', 'k_max', 'is', 'proportional', 'to', '1sigma_r', 'when', 'xi', 'is', 'much', 'smaller', 'than', 'sigma_r', 'and', 'that', 'the', 'localization', 'is', 'strongest', 'when', 'xi', 'is', 'of', 'the', 'order', 'of', 'sigma_r', 'numerical', 'calculations', 'support', 'our', 'analysis', 'and', 'our', 'estimates', 'indicate', 'that', 'the', 'localization', 'of', 'the', 'bogolyubov', 'quasiparticles', 'is', 'accessible', 'in', 'current', 'experiments', 'with', 'ultracold', 'atoms']] | [-0.1542354511638355, 0.24341126222227616, -0.07862502184465654, 0.08239744250905405, -0.0051333881127568455, -0.17512589598345196, 0.004791441743668073, 0.34978690654294103, -0.19368933510377556, -0.20154898748215702, -0.006686889393350635, -0.3573515082014979, -0.11404460971840681, 0.1817108978692474, 0.034476580671392955, 0.06298617843432057, 0.011331147661544064, 0.08732666048961572, -0.07113089008280674, -0.24398785757903868, 0.2945673597865125, 0.06987566962981454, 0.25922612695453257, 0.09230766876831524, 0.009117248334770655, 0.04517666523098054, 0.024060419131802697, 0.0365803891983934, -0.18715810604510644, 0.0752736709247797, 0.18233228966585782, -0.01296458574823844, 0.2530873474609266, -0.35808923132080805, -0.2073241420971771, 0.1122334018890929, 0.2160783632664392, 0.12990018242022866, 0.035282451237559825, -0.2848397931482038, 0.11032833261654162, -0.13319074823003677, -0.14684195315831491, -0.05741562184073731, 0.1200739817104788, 0.040882528888391986, -0.2964198908362633, 0.1301953617312237, 0.02285616785590338, 0.07306504514784519, -0.05676209850587014, -0.12193121330446413, 0.004545691856939314, 0.01836828041088401, 0.0636591529783046, 0.0896269659885866, 0.12105769482560647, -0.13184239332858697, -0.00897518365840929, 0.3935712734157713, -0.1098951030759893, -0.19748527340145192, 0.15093519318944368, -0.1851054508294751, -0.019989416122627564, 0.14270388416181773, 0.09697187882171482, 0.11878480780153321, -0.06789964745923156, 0.06381621838071679, -0.06971281046310487, 0.2279129719379573, 0.03872088648370889, 0.05005913200334479, 0.14257090135963044, 0.1683160934276863, 0.10417602762866479, 0.12021196534873074, -0.12639410419660246, -0.08981595486880113, -0.2923009817599932, -0.1373584177504238, -0.24688370058583653, 0.05371853997274183, -0.11734409660509386, -0.14579782483335108, 0.3628580142290164, 0.1861517649088214, 0.22966449762073657, 0.10405094263494079, 0.2681189838072492, 0.21132474704784873, 0.08136634622167191, 0.05457170788023589, 0.20204128362397608, 0.15089209459355882, 0.020359044432397295, -0.29301545688380987, 0.025963385633200917, 0.07641676528395241] |
707.2919 | Spectroscopic analysis of two peculiar emission line stars: RJHA 49 and
SS73 21 | Aims: To investigate the spectra and the evolutionary stages of two peculiar
emission-line stars: RJHA 49 and SS73 21. Methods: We used low and high
resolution optical data. Line identifications and measurements were performed
for several features in their spectra. Results: For each object, we have
derived the extinction and the excitation temperature from a set of [Fe II]
lines, and the electron density from [N II] lines. For RJHA 49, no detailed
spectroscopic study was done so far. Regarding SS73 21, our low resolution
spectrum have confirmed the main characteristics found in previous works. On
the other side, from our high resolution data, we have found that the Halpha
line presents a double-peak, in contrast with the suggestion in the literature
that it should reveal a P-Cygni profile. Surprisingly, we found a few He I
transitions resembling P-Cygni profiles (e.g. He I 5876), directly suggesting
that mass loss is active in SS73 21. We also discussed the nature of these two
objects based on the data obtained. Although the evolutionary status of SS73 21
seems well established from previous studies (a proto-planetary nebula), the
situation for RJHA 49 is not so clear mainly due to its unknown distance.
However, from the strength of [N II] 5754 relative to [O I] 6300, the
possibility of RJHA 49 being a LBV object is reduced, and a B[e]-supergiant or
a proto-planetary nebula status is more plausible.
| astro-ph | aims to investigate the spectra and the evolutionary stages of two peculiar emissionline stars rjha 49 and ss73 21 methods we used low and high resolution optical data line identifications and measurements were performed for several features in their spectra results for each object we have derived the extinction and the excitation temperature from a set of fe ii lines and the electron density from n ii lines for rjha 49 no detailed spectroscopic study was done so far regarding ss73 21 our low resolution spectrum have confirmed the main characteristics found in previous works on the other side from our high resolution data we have found that the halpha line presents a doublepeak in contrast with the suggestion in the literature that it should reveal a pcygni profile surprisingly we found a few he i transitions resembling pcygni profiles eg he i 5876 directly suggesting that mass loss is active in ss73 21 we also discussed the nature of these two objects based on the data obtained although the evolutionary status of ss73 21 seems well established from previous studies a protoplanetary nebula the situation for rjha 49 is not so clear mainly due to its unknown distance however from the strength of n ii 5754 relative to o i 6300 the possibility of rjha 49 being a lbv object is reduced and a besupergiant or a protoplanetary nebula status is more plausible | [['aims', 'to', 'investigate', 'the', 'spectra', 'and', 'the', 'evolutionary', 'stages', 'of', 'two', 'peculiar', 'emissionline', 'stars', 'rjha', '49', 'and', 'ss73', '21', 'methods', 'we', 'used', 'low', 'and', 'high', 'resolution', 'optical', 'data', 'line', 'identifications', 'and', 'measurements', 'were', 'performed', 'for', 'several', 'features', 'in', 'their', 'spectra', 'results', 'for', 'each', 'object', 'we', 'have', 'derived', 'the', 'extinction', 'and', 'the', 'excitation', 'temperature', 'from', 'a', 'set', 'of', 'fe', 'ii', 'lines', 'and', 'the', 'electron', 'density', 'from', 'n', 'ii', 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'previous', 'studies', 'a', 'protoplanetary', 'nebula', 'the', 'situation', 'for', 'rjha', '49', 'is', 'not', 'so', 'clear', 'mainly', 'due', 'to', 'its', 'unknown', 'distance', 'however', 'from', 'the', 'strength', 'of', 'n', 'ii', '5754', 'relative', 'to', 'o', 'i', '6300', 'the', 'possibility', 'of', 'rjha', '49', 'being', 'a', 'lbv', 'object', 'is', 'reduced', 'and', 'a', 'besupergiant', 'or', 'a', 'protoplanetary', 'nebula', 'status', 'is', 'more', 'plausible']] | [-0.04851394398047992, 0.03922073423758533, -0.05201393045692868, 0.06548097918045911, -0.06822956385202866, -0.14820018641514776, 0.062097608077823475, 0.4402665730102124, -0.16126163548161876, -0.34808231120761246, 0.09433901059998863, -0.29984158438594427, -0.07288136514195524, 0.16662888113677085, -0.05014760938149281, -0.011859239868733776, 0.0624209193496809, -0.025400054194392886, -0.04486058846709634, -0.2008976651733287, 0.30691090533449894, 0.06594229699112475, 0.2176240376274745, 0.019089630181409516, 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707.292 | A non-homogeneous orbit of a diagonal subgroup | Let G=SL(n,R) with n>5. We construct examples of lattices Gamma of G,
subgroup A of the diagonal group and points x in G/Gamma such that the closure
of the orbit Ax is not homogeneous but does not factors through the action of a
one-parameter non-unipotent group. This contradicts a conjecture of Margulis.
| math.DS | let gslnr with n5 we construct examples of lattices gamma of g subgroup a of the diagonal group and points x in ggamma such that the closure of the orbit ax is not homogeneous but does not factors through the action of a oneparameter nonunipotent group this contradicts a conjecture of margulis | [['let', 'gslnr', 'with', 'n5', 'we', 'construct', 'examples', 'of', 'lattices', 'gamma', 'of', 'g', 'subgroup', 'a', 'of', 'the', 'diagonal', 'group', 'and', 'points', 'x', 'in', 'ggamma', 'such', 'that', 'the', 'closure', 'of', 'the', 'orbit', 'ax', 'is', 'not', 'homogeneous', 'but', 'does', 'not', 'factors', 'through', 'the', 'action', 'of', 'a', 'oneparameter', 'nonunipotent', 'group', 'this', 'contradicts', 'a', 'conjecture', 'of', 'margulis']] | [-0.23554438978488393, 0.11590601038187742, -0.1178847667761147, -0.03467779179268023, -0.11611553368286467, -0.11391565931376581, 0.08678961400965265, 0.3663626484134618, -0.27047861484335917, -0.18148931904750712, 0.0942672463293717, -0.26634866353033076, -0.1279541536362148, 0.19440821074314563, -0.1401086371921587, -0.06709493795300231, 0.05140835390992317, 0.1422710338716998, -0.14230126443355545, -0.2624257866694939, 0.35231081206424564, -0.04624032966025612, 0.18179138139912895, 0.009830214512333567, 0.09922953382791842, 0.0006739327720567292, 0.02118548510742246, -0.004187852550553633, -0.127440464067274, 0.09105400994931366, 0.2464038788834039, 0.06591670784880133, 0.20966426137031294, -0.31601443161786186, -0.19787849924600154, 0.24400568337124937, 0.14246417756886312, -0.026035973875253807, -0.02038828015108319, -0.26732915351349934, 0.11445998902633495, -0.16974169717115514, -0.21705037837519364, -0.047724440054712346, 0.1040354631384652, -0.005065533624706315, -0.2617438907972446, 0.025861243005184567, 0.15338722384516515, 0.10400368099776554, -0.019980209537179154, -0.07961407857125297, -0.0698166435913128, 0.08117970234404008, 0.033254405086421794, 0.08592687433987271, 0.06975498639375848, -0.07471949369281385, -0.09531101244775687, 0.465178728687997, -0.09354798776992396, -0.18823304319498585, 0.11715367801633536, -0.24640833302720577, -0.18924422308291292, 0.13669597311858453, 0.083293361625835, 0.15368905924625842, -0.01982382650249729, 0.24370094003297352, -0.1934258884604217, 0.1217717167455703, 0.03567505651610155, -0.06291129741835974, 0.10911513708860558, 0.059298149898976964, 0.08777647007110656, 0.07459695096693787, 0.03006455931337733, 0.07011036216920498, -0.40638729316346783, -0.16010232843166472, -0.15021206512499383, 0.19194490991261168, -0.09613417630402289, -0.2272715692901436, 0.365474446074051, 0.026166830211877823, 0.18137234578128247, 0.05410010384523547, 0.13258699426317916, 0.044070542698689534, 0.05683614887918035, 0.14743423625808574, 0.1007720894161977, 0.19946039840579033, -0.130540271965312, -0.18200436900095904, -0.024029734891419317, 0.1922799254055409] |
707.2921 | Covering a line segment with variable radius discs | The paper addresses the problem of locating sensors with a circular field of
view so that a given line segment is under full surveillance, which is termed
as the Disc Covering Problem on a Line. The cost of each sensor includes a
fixed component, and a variable component that is proportional to the
field-of-view area. When only one type of sensor or, in general, one type of
disc, is available, then a simple polynomial algorithm solves the problem. When
there are different types of sensors in terms of fixed and variable costs, the
problem becomes NP-hard. A branch-and-bound algorithm as well as an efficient
heuristic are developed. The heuristic very often obtains the optimal solution
as shown in extensive computational testing.
| cs.DM cs.NA | the paper addresses the problem of locating sensors with a circular field of view so that a given line segment is under full surveillance which is termed as the disc covering problem on a line the cost of each sensor includes a fixed component and a variable component that is proportional to the fieldofview area when only one type of sensor or in general one type of disc is available then a simple polynomial algorithm solves the problem when there are different types of sensors in terms of fixed and variable costs the problem becomes nphard a branchandbound algorithm as well as an efficient heuristic are developed the heuristic very often obtains the optimal solution as shown in extensive computational testing | [['the', 'paper', 'addresses', 'the', 'problem', 'of', 'locating', 'sensors', 'with', 'a', 'circular', 'field', 'of', 'view', 'so', 'that', 'a', 'given', 'line', 'segment', 'is', 'under', 'full', 'surveillance', 'which', 'is', 'termed', 'as', 'the', 'disc', 'covering', 'problem', 'on', 'a', 'line', 'the', 'cost', 'of', 'each', 'sensor', 'includes', 'a', 'fixed', 'component', 'and', 'a', 'variable', 'component', 'that', 'is', 'proportional', 'to', 'the', 'fieldofview', 'area', 'when', 'only', 'one', 'type', 'of', 'sensor', 'or', 'in', 'general', 'one', 'type', 'of', 'disc', 'is', 'available', 'then', 'a', 'simple', 'polynomial', 'algorithm', 'solves', 'the', 'problem', 'when', 'there', 'are', 'different', 'types', 'of', 'sensors', 'in', 'terms', 'of', 'fixed', 'and', 'variable', 'costs', 'the', 'problem', 'becomes', 'nphard', 'a', 'branchandbound', 'algorithm', 'as', 'well', 'as', 'an', 'efficient', 'heuristic', 'are', 'developed', 'the', 'heuristic', 'very', 'often', 'obtains', 'the', 'optimal', 'solution', 'as', 'shown', 'in', 'extensive', 'computational', 'testing']] | [-0.12552272377454884, 0.029126056078518356, -0.032420726292882084, 0.023714732028513163, -0.10304619255668122, -0.18857712149697026, 0.04511396381484483, 0.381135458588477, -0.2819381979378787, -0.3074486284008758, 0.16529409141060397, -0.26523328711825217, -0.14672751973521672, 0.20535804431746937, -0.11424957412826128, 0.06564644970045971, 0.07399217088606731, 0.06825819792907131, -0.01679543415055618, -0.24233687538961488, 0.28989885176035524, 0.03745809233216338, 0.24719647592903415, 0.019313640170442018, 0.15835281601945353, 0.02022876678234782, -0.030779881849269237, 0.09835941807851811, -0.05718929889818272, 0.0881125744362939, 0.2870675207862307, 0.16954195034143724, 0.3233068098722041, -0.3775731744821961, -0.19133391339054778, 0.11216868676268303, 0.15375036744724127, 0.07717233620995795, -0.02801406664546764, -0.1970606102369541, 0.11053145068797691, -0.1336981250927591, -0.11545416063913876, 0.029047685334736034, 0.04510464063318338, 0.005086680462445356, -0.31238164691916426, 0.010465666243791088, 0.02247959878661262, 0.0452422988793451, -0.07181095066364886, -0.09825943147067043, 0.053995329322878365, 0.1059745580909489, 0.053287183430309464, 0.06315032336168176, 0.13451588692620767, -0.14475954297067953, -0.10517130606838555, 0.43071151480140274, -0.002162075347521088, -0.2151012075834038, 0.15611011700989477, -0.038291265529942164, -0.13915156767018572, 0.14884347508638357, 0.15167146515917063, 0.17365606890583396, -0.1415722654905836, 0.10286668060282014, -0.08116901610508438, 0.1714650689170134, 0.03645370764781005, -0.0038850691014600627, 0.1795552214684565, 0.1912054345665946, 0.1849902769173534, 0.17218201552433046, -0.11072645001382805, -0.08294685439145084, -0.2868723469384184, -0.1269086399308044, -0.21792242052572325, -0.006533116310034409, -0.09680475450042936, -0.2031431252159436, 0.3840833238272135, 0.09602254868508124, 0.20430861439311507, 0.07073024546916112, 0.34630766708003585, 0.12483345973112982, 0.06041957460932409, 0.09803160521286455, 0.18671376360503356, 0.06125779197289616, 0.08408418312006868, -0.1773937159287166, 0.08041523320384877, 0.07302871614325145] |
707.2922 | Measurement of the tau- --> K- pi0 nu_tau Branching Fraction | A measurement of the tau- --> K- pi0 nu_tau branching fraction has been made
using 230.2 fb-1 of data recorded by the BABAR detector at the PEP-II e+ e-
collider, located at the Stanford Linear Accelerator Center (SLAC), at a center
of mass energy sqrt{s} close to 10.58 GeV. We measure BF(tau- --> K- pi0
nu_tau) = (0.416 +/- 0.003 (stat) +/- 0.018 (syst)) %.
| hep-ex | a measurement of the tau k pi0 nu_tau branching fraction has been made using 2302 fb1 of data recorded by the babar detector at the pepii e e collider located at the stanford linear accelerator center slac at a center of mass energy sqrts close to 1058 gev we measure bftau k pi0 nu_tau 0416 0003 stat 0018 syst | [['a', 'measurement', 'of', 'the', 'tau', 'k', 'pi0', 'nu_tau', 'branching', 'fraction', 'has', 'been', 'made', 'using', '2302', 'fb1', 'of', 'data', 'recorded', 'by', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'e', 'e', 'collider', 'located', 'at', 'the', 'stanford', 'linear', 'accelerator', 'center', 'slac', 'at', 'a', 'center', 'of', 'mass', 'energy', 'sqrts', 'close', 'to', '1058', 'gev', 'we', 'measure', 'bftau', 'k', 'pi0', 'nu_tau', '0416', '0003', 'stat', '0018', 'syst']] | [-0.09238516404152976, 0.19367036411281804, -0.10279032584793608, 0.04818680694985107, -0.028063493403445543, -0.15145070425331078, 0.0699303901858692, 0.2734676505085723, -0.12880986344454617, -0.3007733405664049, -0.1028341090322697, -0.5348023414483358, 0.2416362818812245, 0.16811434343730197, 0.09891493295736868, 0.16969540238316203, 0.17680721752574377, 0.021938250881844555, -0.03462346062738577, -0.17184821220821347, 0.05576873511268661, 0.2364458433103523, 0.27098836463972414, 0.06093757842057224, 0.0911287000936713, -0.002856027603888049, -0.01421425170425711, -0.17735457259776263, -0.2049409393622572, -0.0039040120077672704, 0.3216642308137219, 0.0714552383990316, 0.09780467715885105, -0.23878787695590792, 0.1104192628268281, 0.24090303533614196, 0.0956813050193134, -0.12742892223217622, 0.0017834679898003053, -0.47621268112662024, 0.2535861554507423, -0.24930955209480277, -0.08311199573880254, 0.13641193059497866, 0.10637529144577425, -0.19639932030233845, -0.3634486381157205, 0.14252198111779732, -0.17481997140265745, 0.16863085543094525, -0.020161169811186045, -0.35184902973986903, -0.05706726119789327, -0.1694558811341894, 0.021540423758841794, 0.19119588154817707, 0.23330928382046265, 0.007447147051450507, -0.20459133087946424, 0.3432470665409647, -0.050072840896659886, -0.028617405621656055, 0.10985938246875744, -0.32618142826611113, -0.11198830411665077, 0.24294679425656796, 0.30311143248952155, -0.019344110258630122, -0.28290188787826176, 0.2015917603777529, -0.06056896172331421, 0.21499802262104792, 0.1910400001958398, -0.02784963946885847, 0.24318321860909206, 0.23653912952105546, 0.0247393397228985, -0.01803040844870025, -0.234526071079268, 0.08513156334259386, -0.4268300413346753, -0.023423067189688826, -0.031917995973971894, 0.16078375771256356, 0.02314687875533027, 0.08252743485078601, 0.2620814505257997, -0.01565462890370139, 0.40671945864270476, -0.025365200058300178, 0.256810652252672, 0.05763652184295693, 0.04275586768023364, 0.14968696011080815, 0.3271142701650488, 0.20558071051772428, 0.2350716535784786, -0.3085132826216005, -0.029927685061983508, -0.0016886521580404248] |
707.2923 | The Odderon at RHIC and LHC | The Odderon remains an elusive object, 33 years after its invention. The
Odderon is now a fundamental object in QCD and CGC and it has to be found
experimentally if QCD and CGC are right. In the present talk, we show how to
find it at RHIC and LHC. The most spectacular signature of the Odderon is the
predicted difference between the differential cross-sections for proton-proton
and antiproton-proton at high s and moderate t. This experiment can be done by
using the STAR detector at RHIC and by combining these future data with the
already present UA4/2 data. The Odderon could also be found by ATLAS experiment
at LHC by performing a high-precision measurement of the real part of the
hadron elastic scattering amplitude at small t.
| hep-ph | the odderon remains an elusive object 33 years after its invention the odderon is now a fundamental object in qcd and cgc and it has to be found experimentally if qcd and cgc are right in the present talk we show how to find it at rhic and lhc the most spectacular signature of the odderon is the predicted difference between the differential crosssections for protonproton and antiprotonproton at high s and moderate t this experiment can be done by using the star detector at rhic and by combining these future data with the already present ua42 data the odderon could also be found by atlas experiment at lhc by performing a highprecision measurement of the real part of the hadron elastic scattering amplitude at small t | [['the', 'odderon', 'remains', 'an', 'elusive', 'object', '33', 'years', 'after', 'its', 'invention', 'the', 'odderon', 'is', 'now', 'a', 'fundamental', 'object', 'in', 'qcd', 'and', 'cgc', 'and', 'it', 'has', 'to', 'be', 'found', 'experimentally', 'if', 'qcd', 'and', 'cgc', 'are', 'right', 'in', 'the', 'present', 'talk', 'we', 'show', 'how', 'to', 'find', 'it', 'at', 'rhic', 'and', 'lhc', 'the', 'most', 'spectacular', 'signature', 'of', 'the', 'odderon', 'is', 'the', 'predicted', 'difference', 'between', 'the', 'differential', 'crosssections', 'for', 'protonproton', 'and', 'antiprotonproton', 'at', 'high', 's', 'and', 'moderate', 't', 'this', 'experiment', 'can', 'be', 'done', 'by', 'using', 'the', 'star', 'detector', 'at', 'rhic', 'and', 'by', 'combining', 'these', 'future', 'data', 'with', 'the', 'already', 'present', 'ua42', 'data', 'the', 'odderon', 'could', 'also', 'be', 'found', 'by', 'atlas', 'experiment', 'at', 'lhc', 'by', 'performing', 'a', 'highprecision', 'measurement', 'of', 'the', 'real', 'part', 'of', 'the', 'hadron', 'elastic', 'scattering', 'amplitude', 'at', 'small', 't']] | [-0.05483339105304035, 0.19185625786612656, -0.16021010944885866, 0.08608249844595169, -0.04363480977536667, -0.11071726868653463, -0.018920080314966895, 0.36704065477741615, -0.2319612747533173, -0.29685254039109815, 0.07337646328821956, -0.34513806986312073, -0.03263699310639548, 0.1755957970532426, 0.041802849243616776, 0.09236018724105735, 0.12604200820686176, 0.034974282866136894, -0.015413129923953897, -0.27252814021434574, 0.2894631954065214, 0.11014636791872955, 0.1934658007840404, 0.16625056565842694, 0.1051565366704756, 0.03715437863554273, -0.05619711421858815, -0.014881691499982797, -0.09236607388274501, 0.06773128922999141, 0.3263358620036068, 0.07702614785889708, 0.13410348913794945, -0.3755359890619441, -0.10247491128624432, 0.08723044837825, 0.12894473391001127, 0.1257812432900426, -0.05364890956127691, -0.2859277445970783, 0.14315538506147393, -0.21142868514335345, -0.14628755542198343, -0.06421317322649032, 0.07826347232219719, -0.07050343782138375, -0.24293283953438588, 0.0724479800073101, -0.05487389624163154, 0.07219041926446297, 0.025179194390869863, -0.1505743217846704, -0.03414883066360499, 0.03324868226246465, 0.06327987546914272, 0.11995640697903813, 0.1096016538832041, -0.18965861053642122, -0.16163271390241646, 0.36113561447783715, -0.03237763215004215, -0.07849354877151431, 0.16800906051999875, -0.23517190101778224, -0.12522926143488833, 0.1254469606459939, 0.15212423769047573, 0.08129616933209556, -0.18713334859866235, 0.08162390850604483, -0.02182184594095729, 0.1585028748367987, 0.09056499178358723, 0.009624545307209095, 0.252351652752767, 0.2451305366195147, -0.009928877762932744, 0.0714314286088911, -0.1353678161477936, -0.015389877655136858, -0.3986307281172938, -0.07209504779339546, -0.14798153662640187, 0.010757915881792238, -0.03408061205846025, -0.007116368033051017, 0.32154275771112195, 0.12204627554109763, 0.2743629693231058, -0.004061767084908391, 0.3070844000774539, 0.11304089366384441, 0.08006798647647162, 0.06359335697544295, 0.3502041822639368, 0.10574209299086341, 0.20753455463619458, -0.2587775069747179, 0.06779686315724301, 0.026675559765112305] |
707.2924 | On the Quantum Kolmogorov Complexity of Classical Strings | We show that classical and quantum Kolmogorov complexity of binary strings
agree up to an additive constant. Both complexities are defined as the minimal
length of any (classical resp. quantum) computer program that outputs the
corresponding string.
It follows that quantum complexity is an extension of classical complexity to
the domain of quantum states. This is true even if we allow a small
probabilistic error in the quantum computer's output. We outline a mathematical
proof of this statement, based on an inequality for outputs of quantum
operations and a classical program for the simulation of a universal quantum
computer.
| quant-ph | we show that classical and quantum kolmogorov complexity of binary strings agree up to an additive constant both complexities are defined as the minimal length of any classical resp quantum computer program that outputs the corresponding string it follows that quantum complexity is an extension of classical complexity to the domain of quantum states this is true even if we allow a small probabilistic error in the quantum computers output we outline a mathematical proof of this statement based on an inequality for outputs of quantum operations and a classical program for the simulation of a universal quantum computer | [['we', 'show', 'that', 'classical', 'and', 'quantum', 'kolmogorov', 'complexity', 'of', 'binary', 'strings', 'agree', 'up', 'to', 'an', 'additive', 'constant', 'both', 'complexities', 'are', 'defined', 'as', 'the', 'minimal', 'length', 'of', 'any', 'classical', 'resp', 'quantum', 'computer', 'program', 'that', 'outputs', 'the', 'corresponding', 'string', 'it', 'follows', 'that', 'quantum', 'complexity', 'is', 'an', 'extension', 'of', 'classical', 'complexity', 'to', 'the', 'domain', 'of', 'quantum', 'states', 'this', 'is', 'true', 'even', 'if', 'we', 'allow', 'a', 'small', 'probabilistic', 'error', 'in', 'the', 'quantum', 'computers', 'output', 'we', 'outline', 'a', 'mathematical', 'proof', 'of', 'this', 'statement', 'based', 'on', 'an', 'inequality', 'for', 'outputs', 'of', 'quantum', 'operations', 'and', 'a', 'classical', 'program', 'for', 'the', 'simulation', 'of', 'a', 'universal', 'quantum', 'computer']] | [-0.11909867669314597, 0.12946516325543847, -0.10599748304847514, 0.11137423536392173, -0.05943980944258245, -0.17947693121139752, 0.052434980067320995, 0.2777982228059284, -0.32656450671228493, -0.2631327857761973, 0.08569725285251295, -0.22495865506223506, -0.16773432604215963, 0.2794854003051766, -0.12491986078134916, 0.1288563721164158, 0.062490536351547096, 0.07512660067048714, -0.07155866086990996, -0.3076905571112428, 0.2732240992593532, 0.04024598368024924, 0.23091465279911505, 3.684674756545009e-05, 0.1219877599635058, 0.020385462640210836, 0.022299090659038887, 0.036143728621266406, -0.1418976759139861, 0.1390156587556409, 0.2762100350234018, 0.18908488006810797, 0.264388845913639, -0.43846691552210937, -0.16293916130683037, 0.09334670579192614, 0.08062148866281289, 0.17764343412574193, -0.023273945929520208, -0.24927825860401634, 0.13123343672339965, -0.14118906231879286, -0.0732765876302364, -0.03203737624742166, 0.038032010235268664, -0.03319874276980908, -0.2184223055914797, 0.02730896049226173, 0.12906168475558963, 0.06855084764949902, 0.026287823851982303, -0.0588574240623851, 0.08339708845949534, 0.14950366488968334, -0.048862882950954666, 0.055977620347873354, 0.10949110412838484, -0.1499544860221295, -0.23672506570665522, 0.35262097233925205, -0.03049251221995236, -0.213332690919439, 0.1727864941831377, -0.0739572254959682, -0.130453115643115, 0.06924812640580866, 0.11158266763974245, 0.06911544985316619, -0.06148288617230425, 0.19519152705712864, -0.07178687221474117, 0.25596136194324554, 0.03997840382031758, 0.085407962843851, 0.16410971637062652, 0.10283600418555616, 0.07023956015179253, 0.1778070025823333, -0.02693075116816673, -0.19560688423025752, -0.37053486912727657, -0.2494758695476886, -0.23983173373371663, 0.11641860577381319, -0.09904902310767964, -0.22497419481908884, 0.3274290691496748, 0.11288079514751455, 0.1464309731423102, 0.16021464580688813, 0.2907477986406196, 0.13028524787696738, 0.019190554260135148, 0.11514300957435009, 0.16571310013262178, 0.16108149577595407, 0.042752624792752394, -0.22232606172716865, 0.038112630223328565, 0.07694390940131864] |
707.2925 | Swift observations of high-redshift radio-loud quasars | We report on Swift observations of four z>2 radio-loud quasars (0212+735,
0537-286, 0836+710, and 2149-307), classified as blazars. The sources,
well-known emitters at soft-medium X-rays, were detected at >5sigma with the
BAT experiment in 15-150 keV. No flux variability was detected within the XRT
and BAT exposures, with the exception of 0836+710 which shows an increase of a
factor 4 of the 15-150 keV flux on a timescale of one month. The 0.3-10 keV
spectra are well fitted by power law models, with rather hard continua (photon
indices Gamma_XRT ~1.3-1.5); similarly, the 15-150 keV spectra are described by
power laws with Gamma_BAT ~1.3-1.8. The XRT data exhibit spectral curvature,
which can be modeled either in terms of excess absorption along the line of
sight, or a downward-curved broken power law. In the former case, if the excess
N_H is at the rest-frame of the source, columns of N_H^z=(0.3-6)x10^22 cm^-2
are measured. Modeling of the SEDs of the four quasars shows that the emission
at the higher frequencies, >~ 10^16 Hz, is dominated by the jet, while the
steep optical-to-UV continua, observed with the UVOT, can be attributed to
thermal emission from the accretion disk. The disk luminosity is between 1% and
10% the jet power, similar to other powerful blazars.
| astro-ph | we report on swift observations of four z2 radioloud quasars 0212735 0537286 0836710 and 2149307 classified as blazars the sources wellknown emitters at softmedium xrays were detected at 5sigma with the bat experiment in 15150 kev no flux variability was detected within the xrt and bat exposures with the exception of 0836710 which shows an increase of a factor 4 of the 15150 kev flux on a timescale of one month the 0310 kev spectra are well fitted by power law models with rather hard continua photon indices gamma_xrt 1315 similarly the 15150 kev spectra are described by power laws with gamma_bat 1318 the xrt data exhibit spectral curvature which can be modeled either in terms of excess absorption along the line of sight or a downwardcurved broken power law in the former case if the excess n_h is at the restframe of the source columns of n_hz036x1022 cm2 are measured modeling of the seds of the four quasars shows that the emission at the higher frequencies 1016 hz is dominated by the jet while the steep opticaltouv continua observed with the uvot can be attributed to thermal emission from the accretion disk the disk luminosity is between 1 and 10 the jet power similar to other powerful blazars | [['we', 'report', 'on', 'swift', 'observations', 'of', 'four', 'z2', 'radioloud', 'quasars', '0212735', '0537286', '0836710', 'and', '2149307', 'classified', 'as', 'blazars', 'the', 'sources', 'wellknown', 'emitters', 'at', 'softmedium', 'xrays', 'were', 'detected', 'at', '5sigma', 'with', 'the', 'bat', 'experiment', 'in', '15150', 'kev', 'no', 'flux', 'variability', 'was', 'detected', 'within', 'the', 'xrt', 'and', 'bat', 'exposures', 'with', 'the', 'exception', 'of', '0836710', 'which', 'shows', 'an', 'increase', 'of', 'a', 'factor', '4', 'of', 'the', '15150', 'kev', 'flux', 'on', 'a', 'timescale', 'of', 'one', 'month', 'the', '0310', 'kev', 'spectra', 'are', 'well', 'fitted', 'by', 'power', 'law', 'models', 'with', 'rather', 'hard', 'continua', 'photon', 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707.2926 | Robust Hypothesis Testing with a Relative Entropy Tolerance | This paper considers the design of a minimax test for two hypotheses where
the actual probability densities of the observations are located in
neighborhoods obtained by placing a bound on the relative entropy between
actual and nominal densities. The minimax problem admits a saddle point which
is characterized. The robust test applies a nonlinear transformation which
flattens the nominal likelihood ratio in the vicinity of one. Results are
illustrated by considering the transmission of binary data in the presence of
additive noise.
| cs.IT math.IT | this paper considers the design of a minimax test for two hypotheses where the actual probability densities of the observations are located in neighborhoods obtained by placing a bound on the relative entropy between actual and nominal densities the minimax problem admits a saddle point which is characterized the robust test applies a nonlinear transformation which flattens the nominal likelihood ratio in the vicinity of one results are illustrated by considering the transmission of binary data in the presence of additive noise | [['this', 'paper', 'considers', 'the', 'design', 'of', 'a', 'minimax', 'test', 'for', 'two', 'hypotheses', 'where', 'the', 'actual', 'probability', 'densities', 'of', 'the', 'observations', 'are', 'located', 'in', 'neighborhoods', 'obtained', 'by', 'placing', 'a', 'bound', 'on', 'the', 'relative', 'entropy', 'between', 'actual', 'and', 'nominal', 'densities', 'the', 'minimax', 'problem', 'admits', 'a', 'saddle', 'point', 'which', 'is', 'characterized', 'the', 'robust', 'test', 'applies', 'a', 'nonlinear', 'transformation', 'which', 'flattens', 'the', 'nominal', 'likelihood', 'ratio', 'in', 'the', 'vicinity', 'of', 'one', 'results', 'are', 'illustrated', 'by', 'considering', 'the', 'transmission', 'of', 'binary', 'data', 'in', 'the', 'presence', 'of', 'additive', 'noise']] | [-0.13902060815314876, 0.06634472768254034, -0.0735075158498636, 0.07150405147623998, 0.01297862937378629, -0.15563878086509136, 0.10241676302393898, 0.29537879420080926, -0.23760608481470405, -0.304941521446425, 0.12243233255547949, -0.2691116014995226, -0.12363551869965726, 0.17765063649361454, -0.09993381287175708, 0.05497734182764117, 0.036788062374930965, 0.06680134916678071, -0.11312222661927523, -0.24424573895237522, 0.35512630509712345, 0.08107278255246035, 0.30153175877270905, -0.01783536862945411, 0.10781209675734295, 0.013282204861752689, -0.027769477294031078, 0.040995284710533736, -0.12355191073459913, 0.12413409313544767, 0.26173994991156024, 0.12168804499343401, 0.29554435976485655, -0.341491768568209, -0.17941865092143416, 0.09454586630596257, 0.07241779405669105, 0.03467280901230236, -0.040842739065893266, -0.28143577346515775, 0.06909839243332787, -0.10268925104244817, -0.12729650065757153, 0.026107967513181816, -0.018543119224288116, 0.04894070323874674, -0.33449820149689913, 0.10908503949984862, 0.06320453359982887, 0.02756281525305495, -0.07559035712194334, -0.11888944660881307, -0.01973372329844207, 0.08853724435335253, 0.05187301857044875, -0.016595762905880537, 0.15169453749251438, -0.0996656953527524, -0.07599727424974667, 0.35241639341523007, -0.046938926821983445, -0.19585469201570604, 0.1617039604362373, -0.1280086913384588, -0.10467931686150955, 0.14935984651603532, 0.16197523869369634, 0.11242771368167113, -0.16049299779825094, 0.10005491789041382, -0.03488332242137048, 0.14215731052518538, 0.1110145931739769, -0.0059644748718000766, 0.22621536223649433, 0.1855957520353358, 0.10292506759713699, 0.18788254577041855, -0.16854244022255355, -0.1261417665632396, -0.304244027291311, -0.09339090505765364, -0.2066887131843875, 0.0075078677136178424, -0.13353872265103814, -0.14477216179210056, 0.3537195591574035, 0.12370965286816765, 0.22639047614548627, 0.09619474903078432, 0.29693243289139215, 0.16084921720051548, -0.024168467858987974, 0.08513365012434561, 0.2831494306645742, 0.11043339258446018, -0.0036305679894256884, -0.1914467933281075, 0.10857812538402291, 0.03798194202344592] |
707.2927 | Constructing simply laced Lie algebras from extremal elements | For any finite graph Gamma and any field K of characteristic unequal to 2 we
construct an algebraic variety X over K whose K-points parameterise K-Lie
algebras generated by extremal elements, corresponding to the vertices of the
graph, with prescribed commutation relations, corresponding to the non-edges.
After that, we study the case where Gamma is a connected, simply laced Dynkin
diagram of finite or affine type. We prove that X is then an affine space, and
that all points in an open dense subset of X parameterise Lie algebras
isomorphic to a single fixed Lie algebra. If Gamma is of affine type, then this
fixed Lie algebra is the split finite-dimensional simple Lie algebra
corresponding to the associated finite-type Dynkin diagram. This gives a new
construction of these Lie algebras, in which they come together with
interesting degenerations, corresponding to points outside the open dense
subset. Our results may prove useful for recognising these Lie algebras.
| math.RA math.AG | for any finite graph gamma and any field k of characteristic unequal to 2 we construct an algebraic variety x over k whose kpoints parameterise klie algebras generated by extremal elements corresponding to the vertices of the graph with prescribed commutation relations corresponding to the nonedges after that we study the case where gamma is a connected simply laced dynkin diagram of finite or affine type we prove that x is then an affine space and that all points in an open dense subset of x parameterise lie algebras isomorphic to a single fixed lie algebra if gamma is of affine type then this fixed lie algebra is the split finitedimensional simple lie algebra corresponding to the associated finitetype dynkin diagram this gives a new construction of these lie algebras in which they come together with interesting degenerations corresponding to points outside the open dense subset our results may prove useful for recognising these lie algebras | [['for', 'any', 'finite', 'graph', 'gamma', 'and', 'any', 'field', 'k', 'of', 'characteristic', 'unequal', 'to', '2', 'we', 'construct', 'an', 'algebraic', 'variety', 'x', 'over', 'k', 'whose', 'kpoints', 'parameterise', 'klie', 'algebras', 'generated', 'by', 'extremal', 'elements', 'corresponding', 'to', 'the', 'vertices', 'of', 'the', 'graph', 'with', 'prescribed', 'commutation', 'relations', 'corresponding', 'to', 'the', 'nonedges', 'after', 'that', 'we', 'study', 'the', 'case', 'where', 'gamma', 'is', 'a', 'connected', 'simply', 'laced', 'dynkin', 'diagram', 'of', 'finite', 'or', 'affine', 'type', 'we', 'prove', 'that', 'x', 'is', 'then', 'an', 'affine', 'space', 'and', 'that', 'all', 'points', 'in', 'an', 'open', 'dense', 'subset', 'of', 'x', 'parameterise', 'lie', 'algebras', 'isomorphic', 'to', 'a', 'single', 'fixed', 'lie', 'algebra', 'if', 'gamma', 'is', 'of', 'affine', 'type', 'then', 'this', 'fixed', 'lie', 'algebra', 'is', 'the', 'split', 'finitedimensional', 'simple', 'lie', 'algebra', 'corresponding', 'to', 'the', 'associated', 'finitetype', 'dynkin', 'diagram', 'this', 'gives', 'a', 'new', 'construction', 'of', 'these', 'lie', 'algebras', 'in', 'which', 'they', 'come', 'together', 'with', 'interesting', 'degenerations', 'corresponding', 'to', 'points', 'outside', 'the', 'open', 'dense', 'subset', 'our', 'results', 'may', 'prove', 'useful', 'for', 'recognising', 'these', 'lie', 'algebras']] | [-0.1702740162384147, 0.1117417423097672, -0.05953191922535785, 0.03240724486479452, -0.18205147564041022, -0.16340652495348015, 0.03543282580003739, 0.39408605825155973, -0.37462648185781944, -0.18281336377064386, 0.10385126324492888, -0.23496785697240669, -0.1217634286925507, 0.17914078610155207, -0.13356324540785489, -0.10209058657384072, 0.06075946404001652, 0.172881983865339, -0.13806487036531623, -0.2860372617847483, 0.41890811163167924, -0.08168346640200187, 0.19878310701833704, -0.02225497166494815, 0.12304450878246616, 0.029716549491963517, -0.0010991779914221321, 0.03254057426369027, -0.1724948205660789, 0.09884205638156392, 0.3530864595787791, 0.06459951517470659, 0.1754252442109506, -0.3271001651047323, -0.10429840266106812, 0.24457917698563483, 0.18800771357611012, 0.00317343467927108, -0.013177353075335328, -0.2691564449834494, 0.13576384043344894, -0.16902655575316972, -0.17922154506250548, -0.018370582865407832, 0.09421281979004374, 0.0008873707743194432, -0.2287156818597279, -0.032099282927214146, 0.0692873339117236, 0.11124810546588822, -0.06922004422925127, -0.11438971444985303, -0.09672739641376747, 0.09231973770193946, -0.11704380261616255, 0.08521867190780213, 0.09856309419951569, -0.062346885951671704, -0.15574532505483007, 0.35708971098602676, 0.0369898753407865, -0.21206161641599372, 0.14947232130902988, -0.1834994477715391, -0.18633007118478417, 0.15107393663269109, 0.0832708353499094, 0.10426195225535104, -0.07136133090833215, 0.20098069105640604, -0.1276297533275703, 0.016875053283748016, 0.05932891779603102, -0.03440763675070439, 0.15251691448382843, 0.07494573215118204, 0.06460582713584583, 0.10665257724796016, 0.04798903692631612, -0.009964934156204645, -0.41620290288940454, -0.13568506994936166, -0.09585372367888713, 0.15156160892085888, -0.17586933066214, -0.2054774879883879, 0.36308589595286417, 0.07509295020076351, 0.22426469128866955, 0.0809391137109532, 0.15719503794725126, 0.10186837330976954, 0.09537082918597242, 0.1023944655734783, 0.07842745334924892, 0.235548602333811, -0.08893760872888379, -0.1465432415402924, -0.07654104855072756, 0.17756556461935338] |
707.2928 | Formation of Protoplanets from Massive Planetesimals in Binary Systems | More than half of stars reside in binary or multiple star systems and many
planets have been found in binary systems. From theoretical point of view,
however, whether or not the planetary formation proceeds in a binary system is
a very complex problem, because secular perturbation from the companion star
can easily stir up the eccentricity of the planetesimals and cause
high-velocity, destructive collisions between planetesimals. Early stage of
planetary formation process in binary systems has been studied by restricted
three-body approach with gas drag and it is commonly accepted that accretion of
planetesimals can proceed due to orbital phasing by gas drag. However, the gas
drag becomes less effective as the planetesimals become massive. Therefore it
is still uncertain whether the collision velocity remains small and planetary
accretion can proceed, once the planetesimals become massive. We performed {\it
N}-body simulations of planetary formation in binary systems starting from
massive planetesimals whose size is about 100-500 km. We found that the
eccentricity vectors of planetesimals quickly converge to the forced
eccentricity due to the coupling of the perturbation of the companion and the
mutual interaction of planetesimals if the initial disk model is sufficiently
wide in radial distribution. This convergence decreases the collision velocity
and as a result accretion can proceed much in the same way as in isolated
systems. The basic processes of the planetary formation, such as runaway growth
and oligarchic growth and final configuration of the protoplanets are
essentially the same in binary systems and single star systems, at least in the
late stage where the effect of gas drag is small.
| astro-ph | more than half of stars reside in binary or multiple star systems and many planets have been found in binary systems from theoretical point of view however whether or not the planetary formation proceeds in a binary system is a very complex problem because secular perturbation from the companion star can easily stir up the eccentricity of the planetesimals and cause highvelocity destructive collisions between planetesimals early stage of planetary formation process in binary systems has been studied by restricted threebody approach with gas drag and it is commonly accepted that accretion of planetesimals can proceed due to orbital phasing by gas drag however the gas drag becomes less effective as the planetesimals become massive therefore it is still uncertain whether the collision velocity remains small and planetary accretion can proceed once the planetesimals become massive we performed it nbody simulations of planetary formation in binary systems starting from massive planetesimals whose size is about 100500 km we found that the eccentricity vectors of planetesimals quickly converge to the forced eccentricity due to the coupling of the perturbation of the companion and the mutual interaction of planetesimals if the initial disk model is sufficiently wide in radial distribution this convergence decreases the collision velocity and as a result accretion can proceed much in the same way as in isolated systems the basic processes of the planetary formation such as runaway growth and oligarchic growth and final configuration of the protoplanets are essentially the same in binary systems and single star systems at least in the late stage where the effect of gas drag is small | [['more', 'than', 'half', 'of', 'stars', 'reside', 'in', 'binary', 'or', 'multiple', 'star', 'systems', 'and', 'many', 'planets', 'have', 'been', 'found', 'in', 'binary', 'systems', 'from', 'theoretical', 'point', 'of', 'view', 'however', 'whether', 'or', 'not', 'the', 'planetary', 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707.2929 | Superbosonization of invariant random matrix ensembles | Superbosonization is a new variant of the method of commuting and
anti-commuting variables as used in studying random matrix models of disordered
and chaotic quantum systems. We here give a concise mathematical exposition of
the key formulas of superbosonization. Conceived by analogy with the
bosonization technique for Dirac fermions, the new method differs from the
traditional one in that the superbosonization field is dual to the usual
Hubbard-Stratonovich field. The present paper addresses invariant random matrix
ensembles with symmetry group U(n), O(n), or USp(n), giving precise definitions
and conditions of validity in each case. The method is illustrated at the
example of Wegner's n-orbital model. Superbosonization promises to become a
powerful tool for investigating the universality of spectral correlation
functions for a broad class of random matrix ensembles of non-Gaussian and/or
non-invariant type.
| math-ph math.MP | superbosonization is a new variant of the method of commuting and anticommuting variables as used in studying random matrix models of disordered and chaotic quantum systems we here give a concise mathematical exposition of the key formulas of superbosonization conceived by analogy with the bosonization technique for dirac fermions the new method differs from the traditional one in that the superbosonization field is dual to the usual hubbardstratonovich field the present paper addresses invariant random matrix ensembles with symmetry group un on or uspn giving precise definitions and conditions of validity in each case the method is illustrated at the example of wegners norbital model superbosonization promises to become a powerful tool for investigating the universality of spectral correlation functions for a broad class of random matrix ensembles of nongaussian andor noninvariant type | [['superbosonization', 'is', 'a', 'new', 'variant', 'of', 'the', 'method', 'of', 'commuting', 'and', 'anticommuting', 'variables', 'as', 'used', 'in', 'studying', 'random', 'matrix', 'models', 'of', 'disordered', 'and', 'chaotic', 'quantum', 'systems', 'we', 'here', 'give', 'a', 'concise', 'mathematical', 'exposition', 'of', 'the', 'key', 'formulas', 'of', 'superbosonization', 'conceived', 'by', 'analogy', 'with', 'the', 'bosonization', 'technique', 'for', 'dirac', 'fermions', 'the', 'new', 'method', 'differs', 'from', 'the', 'traditional', 'one', 'in', 'that', 'the', 'superbosonization', 'field', 'is', 'dual', 'to', 'the', 'usual', 'hubbardstratonovich', 'field', 'the', 'present', 'paper', 'addresses', 'invariant', 'random', 'matrix', 'ensembles', 'with', 'symmetry', 'group', 'un', 'on', 'or', 'uspn', 'giving', 'precise', 'definitions', 'and', 'conditions', 'of', 'validity', 'in', 'each', 'case', 'the', 'method', 'is', 'illustrated', 'at', 'the', 'example', 'of', 'wegners', 'norbital', 'model', 'superbosonization', 'promises', 'to', 'become', 'a', 'powerful', 'tool', 'for', 'investigating', 'the', 'universality', 'of', 'spectral', 'correlation', 'functions', 'for', 'a', 'broad', 'class', 'of', 'random', 'matrix', 'ensembles', 'of', 'nongaussian', 'andor', 'noninvariant', 'type']] | [-0.09674196424316335, 0.14087745706862384, -0.1070825523824634, 0.0880673354048688, -0.062667005742669, -0.18882756311922594, 0.011379177838780995, 0.30473295505389686, -0.22602538995206692, -0.2429481412711224, 0.07484167554727371, -0.23923424786811037, -0.19389528813911952, 0.19165921301924085, -0.044324978709346055, 0.08129572228828788, 0.007237262379630168, 0.02500177295248311, -0.12710940972481735, -0.1935982680214303, 0.3504400888223313, 0.017763645257765807, 0.281881267341428, -0.0015865777780238847, 0.1044841409779917, 0.0866405225649504, -0.04165675689263227, -0.0016022740926285436, -0.0788467449875819, 0.13410563743848325, 0.21502202878373214, 0.10296532886340878, 0.23292884323045723, -0.38620008235531195, -0.199472555843413, 0.09131050229429695, 0.12693224801976039, 0.13064013480618455, -0.055462795597697165, -0.30163833956738334, 0.051189199534657975, -0.17260442760771252, -0.1921152414375902, -0.115667187032829, -0.02802504882867679, -0.013707145948761277, -0.2972434543937977, 0.08260364264697957, 0.05986569402039163, 0.09205515931983639, 0.006365483500679633, -0.12211370139725898, 0.05051762573911171, 0.09189736134638744, 0.016935374294547716, 0.005124889389450725, 0.08663122754813612, -0.10528318413106122, -0.12827891157633675, 0.3928296135850531, -0.06850318725026541, -0.20958842545978837, 0.1858087668853595, -0.0964939133863707, -0.1874732721659978, 0.07897245236217304, 0.13357473248475812, 0.13375844847747034, -0.1625348804938726, 0.1243962676398267, -0.07145879957544848, 0.10493688864145022, -0.0005979919385977258, 0.035798949873861785, 0.18543948619311354, 0.1315188732145256, 0.05478603360190624, 0.158143653634575, -0.010513046488543986, -0.14176429430884135, -0.30217083325763616, -0.18018191499780878, -0.2031353229072113, 0.06682330467283054, -0.10846499405432355, -0.20478897095706902, 0.4451462417784938, 0.15844740791428358, 0.14547390411642933, 0.06942418670540858, 0.23266305563327178, 0.1237166938275673, 0.05010256914183833, 0.007033691209341798, 0.14467472653604932, 0.24297743874840103, 0.07841189644523525, -0.17356593067463683, -0.006269726230013639, 0.16942010775238672] |
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