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708.0249 | Classifying the Unclassifiables | In 1955 George Mackey suggested that there is a fundamental dichotomy in the
unitary representation theory of locally compact second countable groups. He
felt that there cannnot be a reasonable classification theory for the unitary
representations of a group G for which the dual is a non-smooth Borel space.
Mackey's precise conjecture regarding when this is the case was subsequently
verified by Glimm. This approach to "classifiability" can be applied in many
other branches of mathematics. Included in this article is a sketch of some of
the exciting new developments that have been made in this direction. Evidence
is given that there should be extensions of Mackey's ideas to such "finitistic"
problems as the classification of the finite p-groups. In a different
direction, Mackey's thoughts about quantization are also briefly discussed.
| math.LO math.RT | in 1955 george mackey suggested that there is a fundamental dichotomy in the unitary representation theory of locally compact second countable groups he felt that there cannnot be a reasonable classification theory for the unitary representations of a group g for which the dual is a nonsmooth borel space mackeys precise conjecture regarding when this is the case was subsequently verified by glimm this approach to classifiability can be applied in many other branches of mathematics included in this article is a sketch of some of the exciting new developments that have been made in this direction evidence is given that there should be extensions of mackeys ideas to such finitistic problems as the classification of the finite pgroups in a different direction mackeys thoughts about quantization are also briefly discussed | [['in', '1955', 'george', 'mackey', 'suggested', 'that', 'there', 'is', 'a', 'fundamental', 'dichotomy', 'in', 'the', 'unitary', 'representation', 'theory', 'of', 'locally', 'compact', 'second', 'countable', 'groups', 'he', 'felt', 'that', 'there', 'cannnot', 'be', 'a', 'reasonable', 'classification', 'theory', 'for', 'the', 'unitary', 'representations', 'of', 'a', 'group', 'g', 'for', 'which', 'the', 'dual', 'is', 'a', 'nonsmooth', 'borel', 'space', 'mackeys', 'precise', 'conjecture', 'regarding', 'when', 'this', 'is', 'the', 'case', 'was', 'subsequently', 'verified', 'by', 'glimm', 'this', 'approach', 'to', 'classifiability', 'can', 'be', 'applied', 'in', 'many', 'other', 'branches', 'of', 'mathematics', 'included', 'in', 'this', 'article', 'is', 'a', 'sketch', 'of', 'some', 'of', 'the', 'exciting', 'new', 'developments', 'that', 'have', 'been', 'made', 'in', 'this', 'direction', 'evidence', 'is', 'given', 'that', 'there', 'should', 'be', 'extensions', 'of', 'mackeys', 'ideas', 'to', 'such', 'finitistic', 'problems', 'as', 'the', 'classification', 'of', 'the', 'finite', 'pgroups', 'in', 'a', 'different', 'direction', 'mackeys', 'thoughts', 'about', 'quantization', 'are', 'also', 'briefly', 'discussed']] | [-0.10276333443963757, 0.12651042601792142, -0.15658511028875813, 0.09548579448780331, -0.12225513845109022, -0.13587305329453486, 0.014256421510631648, 0.36565962789866785, -0.2759381252520073, -0.2226222942941464, 0.12379014263860881, -0.22209518373979686, -0.17064375071428142, 0.22028376110157785, -0.15675217776845854, -0.014435905153648211, 0.058013868862046646, 0.09484478185096612, -0.072186863859399, -0.3131721335624416, 0.3291921196362147, -0.00035137010451692804, 0.25305665756504125, 0.07767845274020846, 0.06389738817949994, -0.0038412521593272687, -0.03932162803203727, 0.0357182887541757, -0.09506351803183162, 0.13160283274303836, 0.34647422949223816, 0.1317824105105291, 0.31075956059010845, -0.37158499737538825, -0.22887987534049897, 0.1285500906372013, 0.12434579314162525, 0.09973323197443208, -0.09226541766502823, -0.304735365565508, 0.11114896851448486, -0.1954408296598838, -0.14150129807038375, -0.060380967631219674, 0.09634632375539065, -0.027035890417531707, -0.18938212802526183, 0.00868579872610728, 0.11821753401309251, 0.08208593322107426, -0.038322210416663435, -0.0953176966868341, 0.027223936604479186, 0.10174956078072472, 0.054919633468111545, 0.08575883967300447, 0.05025200501729089, -0.09658831723679144, -0.1526185563299805, 0.3885813816934108, -0.026120896975939664, -0.20407276122042767, 0.16719723226001057, -0.13998022265732288, -0.2233893150642801, 0.06604594437835308, 0.08435966442697324, 0.1210215325288188, -0.10433663768355753, 0.14493555201647373, -0.13381744754151442, 0.10500785292466529, 0.09687019540355182, -0.030005129885215025, 0.17135513212460166, 0.1344921105577109, 0.054269404628296165, 0.1065077636046156, 0.052210059575736524, -0.05093730444518419, -0.3478475227450522, -0.17425572091283706, -0.15675381264792612, 0.0563943576766178, -0.03516698523890227, -0.13358316825022204, 0.38346041847521867, 0.12618850512752453, 0.13494171761692716, 0.024158361999210544, 0.2257579768792941, 0.11082805706492553, 0.04540657155359021, 0.05538071687333286, 0.21857817121714246, 0.21301322153303773, 0.015040199773815962, -0.11829578731983649, 0.01934219016514432, 0.13030387945652294] |
708.025 | Holography from loop quantum gravity | We show that holography arises naturally in the context of spherically
symmetric loop quantum gravity. The result is not dependent on detailed
assumptions about the dynamics of the theory being considered. It ties strongly
the amount of information contained in a region of space to the tight
mathematical underpinnings of loop quantum geometry, at least in this
particular context.
| gr-qc hep-th | we show that holography arises naturally in the context of spherically symmetric loop quantum gravity the result is not dependent on detailed assumptions about the dynamics of the theory being considered it ties strongly the amount of information contained in a region of space to the tight mathematical underpinnings of loop quantum geometry at least in this particular context | [['we', 'show', 'that', 'holography', 'arises', 'naturally', 'in', 'the', 'context', 'of', 'spherically', 'symmetric', 'loop', 'quantum', 'gravity', 'the', 'result', 'is', 'not', 'dependent', 'on', 'detailed', 'assumptions', 'about', 'the', 'dynamics', 'of', 'the', 'theory', 'being', 'considered', 'it', 'ties', 'strongly', 'the', 'amount', 'of', 'information', 'contained', 'in', 'a', 'region', 'of', 'space', 'to', 'the', 'tight', 'mathematical', 'underpinnings', 'of', 'loop', 'quantum', 'geometry', 'at', 'least', 'in', 'this', 'particular', 'context']] | [-0.1348164707848455, 0.11767204103880893, -0.08476706434798947, 0.10789936881954387, -0.0767326210546544, -0.09641489912992564, 0.009751113098098944, 0.3214557562694269, -0.2683237768330817, -0.2606437606579166, 0.10182918419753659, -0.22952239692874127, -0.18999932933661898, 0.16861315781124314, -0.10283520884498148, -0.037520235578008626, 0.029506649095880782, 0.09064024952003512, -0.07233299513473727, -0.22568301067261373, 0.36521797939361533, 0.07333395743379527, 0.2713824828802529, 0.07217351461650204, 0.08558060650287544, 0.02422106086071265, -0.028706442715671167, 0.061637830888453905, -0.1483310895654525, 0.1433380239256421, 0.22706062236990213, 0.13770031959007858, 0.24171870088173172, -0.43227693766860636, -0.2696372017390647, 0.06382050375469912, 0.10096946102961646, 0.1331203590241908, -0.040924938705402536, -0.2577536415813838, 0.04917781406192709, -0.13436965113979274, -0.143440352042474, -0.006226600866007097, 0.00038816187909599076, -0.093594349099923, -0.19056928417471758, 0.07641798540381557, 0.09369563282925193, 0.03272373240314803, 0.001934861701171277, -0.011250643825190048, -0.00826152681641407, 0.1163644695060596, 0.035346896636252435, 0.02419948784468727, 0.13558060843971068, -0.15543702048628386, -0.09466029774650174, 0.3885683387012805, -0.04158984402084123, -0.21556530324584347, 0.16775468923151493, -0.2334853327217496, -0.18157981620249103, 0.08295415147697016, 0.14391711963561632, 0.1383574160005329, -0.13554507886627848, 0.15667683968588836, -0.08613679495687454, 0.18961550663146426, 0.05245327494912228, 0.09213553773933801, 0.23932447450203917, 0.11899598996881079, 0.05114798322793538, 0.13382034164742898, -0.004154632163975956, -0.23449672123227835, -0.39517786928405196, -0.14023651613585525, -0.1583793949793582, 0.053090857772276956, -0.09472711867321346, -0.17865877939482866, 0.35590130803412046, 0.11687526711404829, 0.15753068900430353, -0.015376812194363546, 0.2678824133413323, 0.08856817625336728, 0.04197575601796478, 0.07473787850842385, 0.2611193423143635, 0.18175300643226858, 0.08460298315148358, -0.20983910349481819, 0.03403559891443889, 0.06708763217774488] |
708.0251 | An Event-Driven Hybrid Molecular Dynamics and Direct Simulation Monte
Carlo Algorithm | A novel Stochastic Event-Driven Molecular Dynamics (SEDMD) algorithm is
developed for the simulation of polymer chains suspended in a solvent. The
polymers are represented as chains of hard spheres tethered by square wells and
interact with the solvent particles with hard core potentials. The algorithm
uses Event-Driven Molecular Dynamics (EDMD) for the simulation of the polymer
chain and the interactions between the chain beads and the surrounding solvent
particles. The interactions between the solvent particles themselves are not
treated deterministically as in event-driven algorithms, rather, the momentum
and energy exchange in the solvent is determined stochastically using the
Direct Simulation Monte Carlo (DSMC) method. The coupling between the solvent
and the solute is consistently represented at the particle level, however,
unlike full MD simulations of both the solvent and the solute, the spatial
structure of the solvent is ignored. The algorithm is described in detail and
applied to the study of the dynamics of a polymer chain tethered to a hard wall
subjected to uniform shear. The algorithm closely reproduces full MD
simulations with two orders of magnitude greater efficiency. Results do not
confirm the existence of periodic (cycling) motion of the polymer chain.
| cond-mat.mtrl-sci cond-mat.stat-mech | a novel stochastic eventdriven molecular dynamics sedmd algorithm is developed for the simulation of polymer chains suspended in a solvent the polymers are represented as chains of hard spheres tethered by square wells and interact with the solvent particles with hard core potentials the algorithm uses eventdriven molecular dynamics edmd for the simulation of the polymer chain and the interactions between the chain beads and the surrounding solvent particles the interactions between the solvent particles themselves are not treated deterministically as in eventdriven algorithms rather the momentum and energy exchange in the solvent is determined stochastically using the direct simulation monte carlo dsmc method the coupling between the solvent and the solute is consistently represented at the particle level however unlike full md simulations of both the solvent and the solute the spatial structure of the solvent is ignored the algorithm is described in detail and applied to the study of the dynamics of a polymer chain tethered to a hard wall subjected to uniform shear the algorithm closely reproduces full md simulations with two orders of magnitude greater efficiency results do not confirm the existence of periodic cycling motion of the polymer chain | [['a', 'novel', 'stochastic', 'eventdriven', 'molecular', 'dynamics', 'sedmd', 'algorithm', 'is', 'developed', 'for', 'the', 'simulation', 'of', 'polymer', 'chains', 'suspended', 'in', 'a', 'solvent', 'the', 'polymers', 'are', 'represented', 'as', 'chains', 'of', 'hard', 'spheres', 'tethered', 'by', 'square', 'wells', 'and', 'interact', 'with', 'the', 'solvent', 'particles', 'with', 'hard', 'core', 'potentials', 'the', 'algorithm', 'uses', 'eventdriven', 'molecular', 'dynamics', 'edmd', 'for', 'the', 'simulation', 'of', 'the', 'polymer', 'chain', 'and', 'the', 'interactions', 'between', 'the', 'chain', 'beads', 'and', 'the', 'surrounding', 'solvent', 'particles', 'the', 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'orders', 'of', 'magnitude', 'greater', 'efficiency', 'results', 'do', 'not', 'confirm', 'the', 'existence', 'of', 'periodic', 'cycling', 'motion', 'of', 'the', 'polymer', 'chain']] | [-0.13711762200519828, 0.1623227741916717, -0.08520398731818458, 0.026498097700182677, 0.03238905312908437, -0.1456488303579583, -0.010598427687235987, 0.43098634378164236, -0.2784669214058571, -0.3017183367194309, 0.027818067863081712, -0.2617412689962265, -0.09348582203253872, 0.1176149149442217, 0.06580199436356984, 0.04279621371455307, 0.0907656972066118, -0.022440251356251346, 0.0010501940956657723, -0.1736408564011166, 0.17206624517255883, 0.1168096933774457, 0.24241211204041627, 0.05999698490748867, 0.14021120670642415, 0.045247383274552966, 0.016028844116863655, 0.04878554787062147, -0.20132980680749438, 0.09579846288748278, 0.18602963280622783, -0.03198669911205402, 0.21949412069196567, -0.5072533247094853, -0.20623023273698368, 0.08695254789621912, 0.167870549393252, 0.13183685526772948, 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708.0252 | The Edge of the Wedge Theorem for Tempered Ultrahyperfunctions II. A
Generalized Version | Withdrawn by author - Superseded by arXiv:0910.5106 [math.FA].
| math.CV math-ph math.MP | withdrawn by author superseded by arxiv09105106 mathfa | [['withdrawn', 'by', 'author', 'superseded', 'by', 'arxiv09105106', 'mathfa']] | [-0.0847174731704096, 0.09590316098183393, -0.031101011981566746, -0.044491579135258995, -0.16919190188248953, -0.137128840200603, 0.006634952345242103, 0.21343454470237097, -0.3137222683678071, -0.44022813873986405, 0.05057659652084112, -0.3168029623727004, -0.09515842671195666, -0.0008506799737612406, -0.3843433807293574, 0.026912460724512737, 0.023534950489799183, -0.2751595874627431, 0.0881122291708986, -0.5177784214417139, 0.37260860080520314, 0.3074701378742854, 0.0752877276390791, 0.20653406220177808, -0.03322755917906761, 0.01911130951096614, -0.3596539969245593, -0.01490386575460434, -0.2751023570696513, 0.08202892790238063, 0.2673695981502533, -0.06558174888292949, 0.46970805029074353, -0.38206816216309863, -0.1824146881699562, -0.07163413365681966, 0.15289000421762466, -0.007755424206455548, -0.17064367110530534, -0.7729362746079763, 0.22644047563274702, -0.48744498441616696, -0.2218936689508458, -0.010969160124659538, 0.22913304219643274, -0.2465417366474867, 0.15158807734648386, 0.14936857049663863, 0.3420562669634819, 0.36971620966990787, 0.09271189818779628, -0.25561203559239704, 0.025918507327636082, -0.03350875526666641, 0.2564717059334119, 0.21542331327994665, -0.08524205225209396, -0.01600666157901287, -0.1329116572936376, 0.13967501651495695, -0.0179123692214489, -0.15988108981400728, -0.2214616018657883, -0.0035841031931340694, -0.086008428906401, 0.28100747615098953, -0.14095288266738257, 0.0637764735147357, -0.33648538527389366, 0.24289550508062044, -0.023225813793639343, 0.10959518731882174, 0.464977881560723, -0.34190770735343295, -0.037954228619734444, 0.0003004409372806549, -0.08618948872511585, 0.2737552424271901, 0.2846578365812699, 0.06989875094344218, -0.10371977246056001, -0.04941339294115702, -0.4461287260055542, 0.1621994903932015, 0.4768416788429022, 0.13503408121565977, 0.2801959564288457, 0.07967114557201664, 0.09346341155469418, -0.19444301631301641, 0.22504110323886076, 0.055361690445958324, 0.11331991602977116, -0.04045034324129423, 0.41225419046046835, 0.1360816543456167, 0.33779955096542835, 0.10377686843276024, 0.3452879066268603, 0.6113873521486918] |
708.0253 | Many-body quantum coherence and interaction blockade in Josephson-linked
Bose-Einstein condensates | We study many-body quantum coherence and interaction blockade in two
Josephson-linked Bose-Einstein condensates. We introduce universal operators
for characterizing many-body coherence without limitations on the system
symmetry and total particle number $N$. We reproduce the results for both
coherence fluctuations and number squeezing in {\em symmetric} systems of large
$N$, and reveal several peculiar phenomena that may occur in {\em asymmetric}
systems and systems of small $N$. For asymmetric systems, we show that, due to
an interplay between asymmetry and inter-particle interaction, the coherence
fluctuations are suppressed dramatically when $|E_{C}/E_{J}|\ll 1$, and both
{\it resonant tunneling} and {\it interaction blockade} take place for large
values of $|E_{C}/E_{J}|$, where $E_C$ and $E_J$ are the interaction and
tunneling energies, respectively. We emphasize that the resonant tunneling and
interaction blockade may allow creating single-atom devices with promising
technology applications. We demonstrate that for the systems at finite
temperatures the formation of self-trapped states causes an anomalous behavior.
| quant-ph | we study manybody quantum coherence and interaction blockade in two josephsonlinked boseeinstein condensates we introduce universal operators for characterizing manybody coherence without limitations on the system symmetry and total particle number n we reproduce the results for both coherence fluctuations and number squeezing in em symmetric systems of large n and reveal several peculiar phenomena that may occur in em asymmetric systems and systems of small n for asymmetric systems we show that due to an interplay between asymmetry and interparticle interaction the coherence fluctuations are suppressed dramatically when e_ce_jll 1 and both it resonant tunneling and it interaction blockade take place for large values of e_ce_j where e_c and e_j are the interaction and tunneling energies respectively we emphasize that the resonant tunneling and interaction blockade may allow creating singleatom devices with promising technology applications we demonstrate that for the systems at finite temperatures the formation of selftrapped states causes an anomalous behavior | [['we', 'study', 'manybody', 'quantum', 'coherence', 'and', 'interaction', 'blockade', 'in', 'two', 'josephsonlinked', 'boseeinstein', 'condensates', 'we', 'introduce', 'universal', 'operators', 'for', 'characterizing', 'manybody', 'coherence', 'without', 'limitations', 'on', 'the', 'system', 'symmetry', 'and', 'total', 'particle', 'number', 'n', 'we', 'reproduce', 'the', 'results', 'for', 'both', 'coherence', 'fluctuations', 'and', 'number', 'squeezing', 'in', 'em', 'symmetric', 'systems', 'of', 'large', 'n', 'and', 'reveal', 'several', 'peculiar', 'phenomena', 'that', 'may', 'occur', 'in', 'em', 'asymmetric', 'systems', 'and', 'systems', 'of', 'small', 'n', 'for', 'asymmetric', 'systems', 'we', 'show', 'that', 'due', 'to', 'an', 'interplay', 'between', 'asymmetry', 'and', 'interparticle', 'interaction', 'the', 'coherence', 'fluctuations', 'are', 'suppressed', 'dramatically', 'when', 'e_ce_jll', '1', 'and', 'both', 'it', 'resonant', 'tunneling', 'and', 'it', 'interaction', 'blockade', 'take', 'place', 'for', 'large', 'values', 'of', 'e_ce_j', 'where', 'e_c', 'and', 'e_j', 'are', 'the', 'interaction', 'and', 'tunneling', 'energies', 'respectively', 'we', 'emphasize', 'that', 'the', 'resonant', 'tunneling', 'and', 'interaction', 'blockade', 'may', 'allow', 'creating', 'singleatom', 'devices', 'with', 'promising', 'technology', 'applications', 'we', 'demonstrate', 'that', 'for', 'the', 'systems', 'at', 'finite', 'temperatures', 'the', 'formation', 'of', 'selftrapped', 'states', 'causes', 'an', 'anomalous', 'behavior']] | [-0.21980994870109077, 0.23668590659566305, -0.038174699362065176, 0.1110900381625482, 0.025828760143505127, -0.18967416205301585, 0.019699719359802192, 0.36496797469228703, -0.2530075565862488, -0.3083311566922641, -0.0066800846445331016, -0.32055676068928685, -0.14292404423946775, 0.19820280503312016, 0.03473478110371441, 0.01715195865691439, 0.036092501072003354, -0.022245082273749352, -0.020681251017746843, -0.1825383801750175, 0.3307255856409077, -0.004622844679262612, 0.28989026979204047, 0.16094322645395304, 0.0643415359644503, 0.0484254511415539, 0.10918234115842705, 0.012245867731333371, -0.11516614853568677, 0.04751296650228208, 0.21942252229586157, 0.0049233418929433784, 0.22962168735507504, -0.46511455672170154, -0.1876721644453359, 0.1092139474850222, 0.19327893558525733, 0.18025110964663327, -0.05502230383375573, -0.30050884034570974, 0.006991438715663177, -0.18026245232449462, -0.09194938171127216, -0.13426222998204806, 0.08257651643593185, 0.04303316137636241, -0.2711095225547027, 0.08984203119484695, 0.060884986199216534, 0.03400479849514286, -0.038405450783837246, -0.06529668591753117, 0.018735327168879722, 0.0897012966962929, -0.02459010188251931, -0.06490062256281985, 0.15015767527734922, -0.15201181032084274, -0.11519053887378498, 0.3495521792811989, -0.05021058514541545, -0.11444258304399173, 0.22146025653589294, -0.1890228454159289, -0.08200647075049924, 0.12625201113926038, 0.15970670162169695, 0.07690900966481903, -0.09495309169686766, 0.05974208500540032, 0.04476390457681275, 0.150725221837291, 0.05370503239216443, 0.16568614377189947, 0.23025688102826575, 0.14857943972036095, 0.05709283086621597, 0.11501647689879335, -0.10235643067816581, -0.12743564508855343, -0.27883059155529005, -0.12698407116228874, -0.21206628885860276, 0.06109642233268881, -0.06612958774382684, -0.11887714513253717, 0.34033979162179084, 0.2099183308136409, 0.22033021441469622, 0.00019913630418183392, 0.24618449788663957, 0.13240565245490002, 0.07063080682511756, 0.028448483092550016, 0.2457348123525843, 0.14190716472830597, 0.08188303130129908, -0.3378663324929823, 0.012944444440403916, -0.02803787099974637] |
708.0254 | The Far-Infrared Properties of Spatially Resolved AKARI Observations | We present the spatially resolved observations of IRAS sources from the Japanese infrared astronomy satellite AKARI All-Sky Survey during the performance verification (PV) phase of the mission. We extracted reliable point sources matched with IRAS point source catalogue. By comparing IRAS and AKARI fluxes, we found that the flux measurements of some IRAS sources could have been over or underestimated and affected by the local background rather than the global background. We also found possible candidates for new AKARI sources and confirmed that AKARI observations resolved IRAS sources into multiple sources. All-Sky Survey observations are expected to verify the accuracies of IRAS flux measurements and to find new extragalactic point sources. | astro-ph astro-ph.GA | we present the spatially resolved observations of iras sources from the japanese infrared astronomy satellite akari allsky survey during the performance verification pv phase of the mission we extracted reliable point sources matched with iras point source catalogue by comparing iras and akari fluxes we found that the flux measurements of some iras sources could have been over or underestimated and affected by the local background rather than the global background we also found possible candidates for new akari sources and confirmed that akari observations resolved iras sources into multiple sources allsky survey observations are expected to verify the accuracies of iras flux measurements and to find new extragalactic point sources | [['we', 'present', 'the', 'spatially', 'resolved', 'observations', 'of', 'iras', 'sources', 'from', 'the', 'japanese', 'infrared', 'astronomy', 'satellite', 'akari', 'allsky', 'survey', 'during', 'the', 'performance', 'verification', 'pv', 'phase', 'of', 'the', 'mission', 'we', 'extracted', 'reliable', 'point', 'sources', 'matched', 'with', 'iras', 'point', 'source', 'catalogue', 'by', 'comparing', 'iras', 'and', 'akari', 'fluxes', 'we', 'found', 'that', 'the', 'flux', 'measurements', 'of', 'some', 'iras', 'sources', 'could', 'have', 'been', 'over', 'or', 'underestimated', 'and', 'affected', 'by', 'the', 'local', 'background', 'rather', 'than', 'the', 'global', 'background', 'we', 'also', 'found', 'possible', 'candidates', 'for', 'new', 'akari', 'sources', 'and', 'confirmed', 'that', 'akari', 'observations', 'resolved', 'iras', 'sources', 'into', 'multiple', 'sources', 'allsky', 'survey', 'observations', 'are', 'expected', 'to', 'verify', 'the', 'accuracies', 'of', 'iras', 'flux', 'measurements', 'and', 'to', 'find', 'new', 'extragalactic', 'point', 'sources']] | [-0.049816981776038535, 0.026575221663324145, -0.08868339025994411, 0.08826260753647164, -0.10327453495145918, -0.019773802025189104, 0.07515684848751973, 0.48265830256246234, -0.12763665757469228, -0.3571409561864293, 0.08889842653638674, -0.40503478021704936, -0.007967037251554765, 0.2248080667487958, -0.03759861729099407, -0.007950873201217939, 0.0554370405157684, -0.19680673742314447, 0.011485987531151287, -0.27007185345146434, 0.26622699001418043, 0.1857180892162629, 0.2184477271805811, -0.07389393412331874, 0.12288087249423067, -0.15785433127133697, -0.23179402612653133, -0.015226609509874572, -0.12145412279157124, 0.022949661912715382, 0.30189891451516665, 0.118259528221831, 0.11422401320017236, -0.31035152832801277, -0.2643670174901516, 0.10111401321026622, 0.15381964645768004, -0.008181855988663595, -0.019206106375382694, -0.4108439005810667, 0.0642911356093513, -0.14126310161910616, -0.17868628573545195, 0.001841594376978842, 0.012440244449084406, 0.07372240614364142, -0.18712319126184862, 0.07130007443059161, -0.09512132459932619, 0.12272720879598244, -0.23602800187445036, -0.1501196377096815, -0.10772841433818275, 0.12649075773141877, -0.014757167807515912, 0.14624220954237488, 0.1380328844460818, -0.18079234813214154, -0.10637417917248902, 0.36148913434563995, -0.07200804264308268, 0.04268121060460118, 0.1384914920472347, -0.1883137105955734, -0.295651532608915, 0.17665231208786839, 0.07277723478556082, 0.13491725672439142, -0.25254045668486, -0.048775492319921114, 0.015993555982572003, 0.27441061932886196, 0.06354062507969437, 0.1370052134299332, 0.37794350534216037, 0.06252051804315399, 0.0680722810164396, 0.2040140508330083, -0.3556487598201587, -0.02212488718345543, -0.2825412023943631, -0.00520389133787437, -0.15410185470203827, 0.11913111222790437, -0.08882452088129195, -0.03814526490902797, 0.27166733531667303, 0.22304446230483083, 0.0913154871951839, -0.002239859256020806, 0.364506715405229, 0.01830002953936052, 0.09523812476713378, 0.09186044411716966, 0.3451801054989856, 0.02163668150325549, 0.10995823944402808, -0.12282794234678485, 0.012784546736191522, -0.03621361033177121] |
708.0255 | On algebraically integrable outer billiards | We prove that if the outer billiard map around a plane oval is algebraically
integrable in a certain non-degenerate sense then the oval is an ellipse.
| math.DS math.AG | we prove that if the outer billiard map around a plane oval is algebraically integrable in a certain nondegenerate sense then the oval is an ellipse | [['we', 'prove', 'that', 'if', 'the', 'outer', 'billiard', 'map', 'around', 'a', 'plane', 'oval', 'is', 'algebraically', 'integrable', 'in', 'a', 'certain', 'nondegenerate', 'sense', 'then', 'the', 'oval', 'is', 'an', 'ellipse']] | [-0.240456597163127, 0.07411889504930094, -0.1313652306293639, 0.06895586598413782, -0.06339220473399529, -0.1542380153774642, -0.10328971680540305, 0.38177106701410735, -0.3799565921609218, -0.07255906672575153, 0.12601699059954485, -0.3320514058443503, -0.22201026381494907, 0.21212330002051133, -0.14879650687082455, -0.01068548598470023, 0.08485860506502482, 0.12442706066828507, -0.08591211525400957, -0.23608150526594657, 0.3424592367731608, -0.07384961700210205, 0.10101726432689108, -0.017374125237648304, 0.13478400744497776, -0.03129698203590054, 0.11275807223640956, -0.03173909723185576, -0.22527880041749226, 0.04727445750568922, 0.2290142013404805, 0.03806311955066541, 0.18588924809144095, -0.3240215701337617, -0.0879882459457104, 0.15978014512130848, 0.2433735211738027, 0.03496540395113138, -0.02736749993905855, -0.27237392066476435, 0.11957205398581348, -0.06798488593015534, -0.3095756059584136, 0.0699729176166539, 0.13224897189782217, -0.03770801908551501, -0.23726962134242058, 0.0037298813963738773, 0.23092718042719823, 0.12994863397370165, -0.0732221795568386, 0.0450936383030449, -0.09944860271822947, 0.012427239034038324, -0.05711322336887511, 0.15422354649322537, 0.177193205176781, -0.00323138042138173, -0.03320685804982741, 0.33155467597624433, -0.0729535999797428, -0.27883005944582134, 0.024713891343428537, -0.27780662641788906, -0.06055068453917137, 0.2207320541716539, 0.06610879459633277, 0.084588093468203, -0.10354711237148596, 0.2162475618891991, -0.1950802251499576, 0.10421539957706745, 0.1359293287476668, -0.08414511380788799, 0.29318771239083546, 0.006226907054392191, 0.22062873761527813, 0.18844108527096418, -0.13590663872086084, -0.09993687773553225, -0.3582771896169736, -0.12817973805627284, -0.13427267025242776, 0.09508376590047891, -0.07055723051039073, -0.24616599487713897, 0.35684447191082513, 0.022835863324312065, 0.25583400992819894, 0.02936363685876131, 0.2755380588082167, 0.10575813649652097, 0.00027924546828636754, 0.21231476930328286, 0.19791365099640992, 0.11647953866766049, -0.022547853465836782, -0.12782303460587102, -0.0017364084040029691, 0.11706926555444415] |
708.0256 | Narrow-line Seyfert 1 Galaxies and the M_BH - sigma Relation | We have studied the location of narrow-line Seyfert 1 (NLS1) galaxies and
broad-line Seyfert 1 (BLS1) galaxies on the M_BH - sigma relation of non-active
galaxies. We find that NLS1 galaxies as a class - as well as the BLS1 galaxies
of our comparison sample - do follow the M_BH-sigma relation of non-active
galaxies if we use the width of the [SII]6716,6731 emission lines as surrogate
for stellar velocity dispersion, sigma_*. We also find that the width of
[OIII]5007 is a good surrogate for sigma_*, but only after (a) removal of
asymmetric blue wings, and, more important, after (b) excluding core [OIII]
lines with strong blueshifts (i.e., excluding galaxies which have their [OIII]
velocity fields dominated by radial motions, presumably outflows). The same
galaxies which are extreme outliers in [OIII] still follow the M_BH - sigma
relation in [SII]. We confirm previous findings that NLS1 galaxies are
systematically off-set from the M_BH - sigma relation if the full [OIII]
profile is used to measure sigma. We systematically investigate the influence
of several parameters on the NSL1 galaxies' location on the M_BH - sigma plane:
[OIII]_core blueshift, L/L_Edd, intensity ratio FeII/H_beta, NLR density, and
absolute magnitude. Implications for NLS1 models and for their evolution along
the M_BH - sigma relation are discussed.
| astro-ph | we have studied the location of narrowline seyfert 1 nls1 galaxies and broadline seyfert 1 bls1 galaxies on the m_bh sigma relation of nonactive galaxies we find that nls1 galaxies as a class as well as the bls1 galaxies of our comparison sample do follow the m_bhsigma relation of nonactive galaxies if we use the width of the sii67166731 emission lines as surrogate for stellar velocity dispersion sigma_ we also find that the width of oiii5007 is a good surrogate for sigma_ but only after a removal of asymmetric blue wings and more important after b excluding core oiii lines with strong blueshifts ie excluding galaxies which have their oiii velocity fields dominated by radial motions presumably outflows the same galaxies which are extreme outliers in oiii still follow the m_bh sigma relation in sii we confirm previous findings that nls1 galaxies are systematically offset from the m_bh sigma relation if the full oiii profile is used to measure sigma we systematically investigate the influence of several parameters on the nsl1 galaxies location on the m_bh sigma plane oiii_core blueshift ll_edd intensity ratio feiih_beta nlr density and absolute magnitude implications for nls1 models and for their evolution along the m_bh sigma relation are discussed | [['we', 'have', 'studied', 'the', 'location', 'of', 'narrowline', 'seyfert', '1', 'nls1', 'galaxies', 'and', 'broadline', 'seyfert', '1', 'bls1', 'galaxies', 'on', 'the', 'm_bh', 'sigma', 'relation', 'of', 'nonactive', 'galaxies', 'we', 'find', 'that', 'nls1', 'galaxies', 'as', 'a', 'class', 'as', 'well', 'as', 'the', 'bls1', 'galaxies', 'of', 'our', 'comparison', 'sample', 'do', 'follow', 'the', 'm_bhsigma', 'relation', 'of', 'nonactive', 'galaxies', 'if', 'we', 'use', 'the', 'width', 'of', 'the', 'sii67166731', 'emission', 'lines', 'as', 'surrogate', 'for', 'stellar', 'velocity', 'dispersion', 'sigma_', 'we', 'also', 'find', 'that', 'the', 'width', 'of', 'oiii5007', 'is', 'a', 'good', 'surrogate', 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'and', 'absolute', 'magnitude', 'implications', 'for', 'nls1', 'models', 'and', 'for', 'their', 'evolution', 'along', 'the', 'm_bh', 'sigma', 'relation', 'are', 'discussed']] | [-0.02369431186692131, 0.03172643019803869, -0.003599502500702641, 0.1965202470947131, -0.11259427154205036, -0.12055097998754673, 0.04723389532917471, 0.5547533908775494, -0.05324840022538284, -0.29150590471997484, -0.007141809018597526, -0.32795892601638144, -0.018243787895925158, 0.1939350500597447, -0.01566143205970878, -0.028187542773820275, -0.044883629916448946, -0.14945068015990343, -0.07166822299891759, -0.2501014320478677, 0.345756509855612, 0.014168582087503144, 0.18876816651352973, -0.07402241911127497, 0.05029771507333093, -0.11599069524212365, -0.07041612511213442, 0.028135255021992978, -0.1665588833190908, 0.014746701635885984, 0.2401798041661385, 0.1432864829568906, 0.24736172291195363, -0.24698269394537248, -0.18736965106383188, 0.07344770131560867, 0.25802919776665406, 0.005397656069493931, 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-0.18129718114375207, -0.09104468854635361, 0.31603478972072624, 0.08413282203990781, 0.3149248497440151, 0.15118133059971553, 0.2909778736355664, 0.13780116278096682, 0.11274318034449055, 0.12196844961698079, 0.3586655888632311, 0.2305041824928508, 0.03894942562647201, -0.24925837520421923, 0.07856473291121349, 0.03585850349187258] |
708.0257 | Universal localisations of hereditary rings | We describe all possible universal localisations of a hereditary ring in
terms of suitable full subcategories of the category of finitely presented
modules. For these universal localisations we then identify the category of
finitely presented bound modules over the universal localisation as being
equivalent to a certain full subcategory of the category of finitely presented
bound modules over the original ring. We also describe the abelian monoid of
finitely generated projective modules over the universal localisation.
| math.RA | we describe all possible universal localisations of a hereditary ring in terms of suitable full subcategories of the category of finitely presented modules for these universal localisations we then identify the category of finitely presented bound modules over the universal localisation as being equivalent to a certain full subcategory of the category of finitely presented bound modules over the original ring we also describe the abelian monoid of finitely generated projective modules over the universal localisation | [['we', 'describe', 'all', 'possible', 'universal', 'localisations', 'of', 'a', 'hereditary', 'ring', 'in', 'terms', 'of', 'suitable', 'full', 'subcategories', 'of', 'the', 'category', 'of', 'finitely', 'presented', 'modules', 'for', 'these', 'universal', 'localisations', 'we', 'then', 'identify', 'the', 'category', 'of', 'finitely', 'presented', 'bound', 'modules', 'over', 'the', 'universal', 'localisation', 'as', 'being', 'equivalent', 'to', 'a', 'certain', 'full', 'subcategory', 'of', 'the', 'category', 'of', 'finitely', 'presented', 'bound', 'modules', 'over', 'the', 'original', 'ring', 'we', 'also', 'describe', 'the', 'abelian', 'monoid', 'of', 'finitely', 'generated', 'projective', 'modules', 'over', 'the', 'universal', 'localisation']] | [-0.15836818732541838, 0.0316200820655611, -0.04165116155912217, 0.07957169219949528, -0.0379640183129691, -0.14463922158373813, -0.07908083583644934, 0.36116182176690353, -0.4481345500895067, -0.13083698169793934, 0.0805954776664485, -0.14552635921312398, -0.08596946447352438, 0.2704522712891431, -0.16965965644799566, -0.015781628035352026, 0.08474198674574789, 0.17137237368641714, -0.034278074828570856, -0.3361516170889923, 0.43952888083693226, -0.0013066757176267473, 0.27541849276933233, 0.042062890005150906, 0.17158296650373622, 0.03855429079359103, -0.07044154735922348, 0.021387019899281625, -0.18314593746234956, 0.1323799054064837, 0.38249275847460684, 0.07605124416908152, 0.15946013773760856, -0.32952108060463187, -0.04730320099349085, 0.21268353178656021, 0.1703345244530187, 0.029194607969226415, -0.0034038009930794175, -0.3013723934020259, 0.19612668493860647, -0.3339204100499812, -0.07977995786227678, -0.07307582496861487, 0.13362184034562424, 0.057483524084091187, -0.19495513248502425, -0.04726069561844557, 0.10618273867294192, 0.1211457604566883, -0.11711708495644607, -0.016168342737824117, -0.06650473220935582, 0.11662100227304588, -0.10881704255007207, -0.07652206779886528, 0.15903958923024075, -0.1291257565301892, -0.13233591171018289, 0.3328377725066323, -0.028629541053975884, -0.1926589176107786, 0.1798892623352769, -0.17848673967742607, -0.07513292692601681, 0.20732794722885287, -0.002778686668821856, 0.14599635340518466, -0.03772531959571337, 0.23702635003351852, -0.22901886244500547, 0.060777570226683134, 0.08155638049969352, 0.0988268595384924, 0.14978969296881636, 0.13611710030129057, -0.0032097494565134278, 0.16591745940355682, 0.030242165280996186, 0.012725676733871774, -0.4565286026581338, -0.18384495749610083, -0.07044563680966875, 0.09498843979580622, -0.06654803330495365, -0.21094443616579825, 0.5210393400568711, 0.14336350377600052, 0.13783749335102344, 0.17005010712646731, 0.20924102615467027, -0.030940530991708664, 0.11010086282974378, -0.0016553283632291776, 0.1106808177121964, 0.22519544541443648, -0.11405046404137179, -0.059339838243383715, -0.029196258217684533, 0.20590985829843894] |
708.0258 | On the penetration of meridional circulation below the solar convection
zone | Meridional flows with velocities of a few meters per second are observed in
the uppermost regions of the solar convection zone. The amplitude and pattern
of the flows deeper in the solar interior, in particular near the top of the
radiative region, are of crucial importance to a wide range of solar
magnetohydrodynamical processes. In this paper, we provide a systematic study
of the penetration of large-scale meridional flows from the convection zone
into the radiative zone. In particular, we study the effects of the assumed
boundary conditions applied at the convective-radiative interface on the deeper
flows. Using simplified analytical models in conjunction with more complete
numerical methods, we show that penetration of the convectively-driven
meridional flows into the deeper interior is not necessarily limited to a
shallow Ekman depth but can penetrate much deeper, depending on how the
convective-radiative interface flows are modeled.
| astro-ph | meridional flows with velocities of a few meters per second are observed in the uppermost regions of the solar convection zone the amplitude and pattern of the flows deeper in the solar interior in particular near the top of the radiative region are of crucial importance to a wide range of solar magnetohydrodynamical processes in this paper we provide a systematic study of the penetration of largescale meridional flows from the convection zone into the radiative zone in particular we study the effects of the assumed boundary conditions applied at the convectiveradiative interface on the deeper flows using simplified analytical models in conjunction with more complete numerical methods we show that penetration of the convectivelydriven meridional flows into the deeper interior is not necessarily limited to a shallow ekman depth but can penetrate much deeper depending on how the convectiveradiative interface flows are modeled | [['meridional', 'flows', 'with', 'velocities', 'of', 'a', 'few', 'meters', 'per', 'second', 'are', 'observed', 'in', 'the', 'uppermost', 'regions', 'of', 'the', 'solar', 'convection', 'zone', 'the', 'amplitude', 'and', 'pattern', 'of', 'the', 'flows', 'deeper', 'in', 'the', 'solar', 'interior', 'in', 'particular', 'near', 'the', 'top', 'of', 'the', 'radiative', 'region', 'are', 'of', 'crucial', 'importance', 'to', 'a', 'wide', 'range', 'of', 'solar', 'magnetohydrodynamical', 'processes', 'in', 'this', 'paper', 'we', 'provide', 'a', 'systematic', 'study', 'of', 'the', 'penetration', 'of', 'largescale', 'meridional', 'flows', 'from', 'the', 'convection', 'zone', 'into', 'the', 'radiative', 'zone', 'in', 'particular', 'we', 'study', 'the', 'effects', 'of', 'the', 'assumed', 'boundary', 'conditions', 'applied', 'at', 'the', 'convectiveradiative', 'interface', 'on', 'the', 'deeper', 'flows', 'using', 'simplified', 'analytical', 'models', 'in', 'conjunction', 'with', 'more', 'complete', 'numerical', 'methods', 'we', 'show', 'that', 'penetration', 'of', 'the', 'convectivelydriven', 'meridional', 'flows', 'into', 'the', 'deeper', 'interior', 'is', 'not', 'necessarily', 'limited', 'to', 'a', 'shallow', 'ekman', 'depth', 'but', 'can', 'penetrate', 'much', 'deeper', 'depending', 'on', 'how', 'the', 'convectiveradiative', 'interface', 'flows', 'are', 'modeled']] | [-0.11821129154365433, 0.14550619989394262, -0.029067356918757368, 0.06833546479336089, -0.05883223489541302, -0.017831994000718825, 0.04785423731098288, 0.3183854393104816, -0.2781716075777594, -0.29642553491673124, 0.09673289234342519, -0.24618503583405982, -0.10367518356360961, 0.235605936174074, -0.042181624225122505, 0.011933371560492864, 0.09051278181141242, -0.02300577667786759, -0.04388140108979618, -0.15480650384496483, 0.304322964293533, 0.06132731877733022, 0.23148650348755634, 0.07426333388624091, 0.027273021612523332, -0.10664310944007917, -0.02806062638086991, 0.042280078238238476, -0.18895171628481774, 0.10011865177840365, 0.21140559358771802, 0.0388211061557134, 0.26060859121692675, -0.5428369745043002, -0.31955926649970934, 0.03278794532363665, 0.1827322154454628, 0.07654262743663923, -0.016590785632615734, -0.20803363990530166, 0.08016663124888307, -0.11535973231204683, -0.08907277406089836, 0.013630270867401527, -0.010562856170711003, 0.012396251721333506, -0.2692176050416795, 0.07824214245031019, 0.06730657019458401, 0.12854700436744476, -0.0882041315506083, -0.08075760721112601, -0.1256142714248401, 0.16319035001086174, 0.037319844567617916, -0.005715779776639667, 0.13604282975494345, -0.1636995661780626, 0.020016212771426782, 0.4195379863247379, -0.07249333272597545, -0.1752344258646998, 0.20561157641673666, -0.23041059426032007, -0.051532673720632576, 0.18253637505404186, 0.25901313407060417, 0.1392634394707986, -0.10950871664681472, 0.0040129026225865045, -0.07862652734669003, 0.11736334886194931, 0.04129531481885351, -0.040097176110268466, 0.26742728953508454, 0.21729693791712634, 0.09145432684777512, 0.10692318339392336, -0.1827413729835017, -0.11312153192961381, -0.30163522336321574, -0.12084770082340886, -0.06515921093846878, 0.005477909310886591, -0.07781912588840594, -0.16221295312021133, 0.3885622663478393, 0.1749179192087872, 0.18608235907029463, -0.00470206427497841, 0.3293254092439181, 0.11315138066937733, 0.09564224581441118, 0.1504059575220001, 0.2978105255881221, 0.16180734497740762, 0.17529629745856962, -0.21687439409955309, 0.05682638142348474, 0.06125362833619066] |
708.0259 | Dynamic Boundaries in Asymmetric Exclusion Processes | We investigate the dynamics of a one-dimensional asymmetric exclusion process
with Langmuir kinetics and a fluctuating wall. At the left boundary, particles
are injected onto the lattice; from there, the particles hop to the right.
Along the lattice, particles can adsorb or desorb, and the right boundary is
defined by a wall particle. The confining wall particle has intrinsic forward
and backward hopping, a net leftward drift, and cannot desorb. Performing Monte
Carlo simulations and using a moving-frame finite segment approach coupled to
mean field theory, we find the parameter regimes in which the wall acquires a
steady state position. In other regimes, the wall will either drift to the left
and fall off the lattice at the injection site, or drift indefinitely to the
right. Our results are discussed in the context of non-equilibrium phases of
the system, fluctuating boundary layers, and particle densities in the lab
frame versus the frame of the fluctuating wall.
| cond-mat.stat-mech cond-mat.soft | we investigate the dynamics of a onedimensional asymmetric exclusion process with langmuir kinetics and a fluctuating wall at the left boundary particles are injected onto the lattice from there the particles hop to the right along the lattice particles can adsorb or desorb and the right boundary is defined by a wall particle the confining wall particle has intrinsic forward and backward hopping a net leftward drift and cannot desorb performing monte carlo simulations and using a movingframe finite segment approach coupled to mean field theory we find the parameter regimes in which the wall acquires a steady state position in other regimes the wall will either drift to the left and fall off the lattice at the injection site or drift indefinitely to the right our results are discussed in the context of nonequilibrium phases of the system fluctuating boundary layers and particle densities in the lab frame versus the frame of the fluctuating wall | [['we', 'investigate', 'the', 'dynamics', 'of', 'a', 'onedimensional', 'asymmetric', 'exclusion', 'process', 'with', 'langmuir', 'kinetics', 'and', 'a', 'fluctuating', 'wall', 'at', 'the', 'left', 'boundary', 'particles', 'are', 'injected', 'onto', 'the', 'lattice', 'from', 'there', 'the', 'particles', 'hop', 'to', 'the', 'right', 'along', 'the', 'lattice', 'particles', 'can', 'adsorb', 'or', 'desorb', 'and', 'the', 'right', 'boundary', 'is', 'defined', 'by', 'a', 'wall', 'particle', 'the', 'confining', 'wall', 'particle', 'has', 'intrinsic', 'forward', 'and', 'backward', 'hopping', 'a', 'net', 'leftward', 'drift', 'and', 'can', 'not', 'desorb', 'performing', 'monte', 'carlo', 'simulations', 'and', 'using', 'a', 'movingframe', 'finite', 'segment', 'approach', 'coupled', 'to', 'mean', 'field', 'theory', 'we', 'find', 'the', 'parameter', 'regimes', 'in', 'which', 'the', 'wall', 'acquires', 'a', 'steady', 'state', 'position', 'in', 'other', 'regimes', 'the', 'wall', 'will', 'either', 'drift', 'to', 'the', 'left', 'and', 'fall', 'off', 'the', 'lattice', 'at', 'the', 'injection', 'site', 'or', 'drift', 'indefinitely', 'to', 'the', 'right', 'our', 'results', 'are', 'discussed', 'in', 'the', 'context', 'of', 'nonequilibrium', 'phases', 'of', 'the', 'system', 'fluctuating', 'boundary', 'layers', 'and', 'particle', 'densities', 'in', 'the', 'lab', 'frame', 'versus', 'the', 'frame', 'of', 'the', 'fluctuating', 'wall']] | [-0.11513028886157331, 0.25205724168817994, -0.09019246584347265, 0.003246328102076329, -0.02330418477119629, -0.1632205146086064, 0.04850838599343944, 0.39495825798363443, -0.31422955400435026, -0.22309349890157676, 0.0965535869187183, -0.31073050412118053, -0.0017820792183707095, 0.09529144954526572, 0.007705634958140409, -0.0007978492908796687, 0.048893176102239616, 0.020170260204453092, -0.02368729170500805, -0.16647428291802335, 0.2458094197005081, 0.04233692852471759, 0.2727789971562233, 0.07511744996351873, 0.14380591816956972, -0.002423241507606047, 0.023905959889399492, 0.02886805194578353, -0.17733644776841162, 0.030189914364889738, 0.1261118382747896, -0.03099789916519906, 0.21199690815725714, -0.5073169362701618, -0.20622885537594793, 0.07376683055227444, 0.1916688262339634, 0.12968522768132507, -0.04865433953503728, -0.2946467779125947, 0.011006006751517961, -0.13776022048850964, -0.14454655283706108, 0.03810240194545525, 0.005946312165688605, 0.04817720216989612, -0.26455668589711234, 0.1166038471170268, 0.04686367038376392, 0.01933709847604393, -0.06778492571364875, -0.06595918475605761, -0.08133678387547992, 0.11403960501552696, 0.0628467121606049, 0.05900503642957919, 0.2316269114625397, -0.1602946617521915, -0.08363454486984925, 0.37441815682064006, -0.07248633237003949, -0.2672238186636501, 0.23221418403599198, -0.19953277681156723, -0.008719246392583202, 0.16545045010413334, 0.13664100396559592, 0.103404611236398, -0.13069006118769194, 0.08108234510402593, -0.01482724679031878, 0.11035977343410983, 0.07225265413831183, -0.07186835516054349, 0.25600727979734444, 0.16500654959440184, 0.05962663203193124, 0.153747647275902, -0.13546438393135596, -0.16685487953708714, -0.319935422014018, -0.1495579332552604, -0.16321717276813308, 0.011251410788628066, -0.06395462030408812, -0.17243061916439967, 0.380681008527613, 0.13587876238376734, 0.1812832094610307, 0.018858132902443835, 0.24020692448066489, 0.12131242080114094, 0.0358679717715094, 0.0710031655127669, 0.20423060816647426, 0.10208115961764506, 0.13141376470144434, -0.2594874243320197, 0.028566548946331358, 0.06850689762734637] |
708.026 | Recoilless Resonance Absorption of Tritium Antineutrinos and Time-Energy
Uncertainty Relation | We discuss neutrino oscillations in an experiment with M\"ossbauer recoilless
resonance absorbtion of tritium antineutrinos, proposed recently by Raghavan.
We demonstrate that small energy uncertainty of antineutrinos which ensures a
large resonance absorption cross section is in a conflict with the energy
uncertainty which, according to the time-energy uncertainty relation, is
necessary for neutrino oscillations to happen. The search for neutrino
oscillations in the M\"ossbauer neutrino experiment would be an important test
of the applicability of the time-energy uncertainty relation to a newly
discovered interference phenomenon.
| hep-ph | we discuss neutrino oscillations in an experiment with mossbauer recoilless resonance absorbtion of tritium antineutrinos proposed recently by raghavan we demonstrate that small energy uncertainty of antineutrinos which ensures a large resonance absorption cross section is in a conflict with the energy uncertainty which according to the timeenergy uncertainty relation is necessary for neutrino oscillations to happen the search for neutrino oscillations in the mossbauer neutrino experiment would be an important test of the applicability of the timeenergy uncertainty relation to a newly discovered interference phenomenon | [['we', 'discuss', 'neutrino', 'oscillations', 'in', 'an', 'experiment', 'with', 'mossbauer', 'recoilless', 'resonance', 'absorbtion', 'of', 'tritium', 'antineutrinos', 'proposed', 'recently', 'by', 'raghavan', 'we', 'demonstrate', 'that', 'small', 'energy', 'uncertainty', 'of', 'antineutrinos', 'which', 'ensures', 'a', 'large', 'resonance', 'absorption', 'cross', 'section', 'is', 'in', 'a', 'conflict', 'with', 'the', 'energy', 'uncertainty', 'which', 'according', 'to', 'the', 'timeenergy', 'uncertainty', 'relation', 'is', 'necessary', 'for', 'neutrino', 'oscillations', 'to', 'happen', 'the', 'search', 'for', 'neutrino', 'oscillations', 'in', 'the', 'mossbauer', 'neutrino', 'experiment', 'would', 'be', 'an', 'important', 'test', 'of', 'the', 'applicability', 'of', 'the', 'timeenergy', 'uncertainty', 'relation', 'to', 'a', 'newly', 'discovered', 'interference', 'phenomenon']] | [-0.0985283233593543, 0.2407189051564485, -0.04700813117588675, 0.20568074085912125, -0.07824075572885746, -0.09612783716536712, 0.09791688185434269, 0.32251243414573894, -0.23311399577488734, -0.3421652904430101, 0.0019106494390059175, -0.3243256011046469, -0.05015272848567991, 0.21816484690481408, -0.012382189992295449, 0.08442609931807965, 0.0983825460953508, 0.029765462004687895, -0.04601996128588135, -0.1446237512755879, 0.29122285313124574, 0.17984418574684072, 0.29406666453808633, 0.11003181803971529, 0.10708478437520044, -0.016403764773290173, -0.0027402811575421068, -0.053837409712117694, -0.07468941008499864, 0.047151360346740764, 0.26370464858793935, 0.13728791450388556, 0.16276288468412362, -0.35636970600069956, -0.18517420198335205, 0.16618730799230033, 0.13634389100953676, 0.09704234893704483, -0.08386475404421258, -0.3382111930743206, -0.0028024687659168658, -0.20339505876100428, -0.12623942086234863, -0.02612740406766534, -0.00029823972388755445, -0.009283801822295023, -0.2927400666332349, 0.13121100022392565, -0.0041793291456997395, -0.0020034652809764065, -0.051593685885458145, -0.09008543261565095, 0.06767428555894037, 0.037367250212619815, 0.08263881217016904, -0.057119919133350947, 0.09783821393800683, -0.05320933578146059, -0.13541447625733738, 0.3994068373427835, -0.05299634888205071, -0.10248033636906807, 0.054316209044394104, -0.21620344963509502, -0.10661927551345163, 0.1399429381045318, 0.1448076204126051, 0.009800306616112763, -0.22269558669528167, 0.018363391585258203, -0.07244414888149084, 0.2096484137406616, 0.08696142539685202, 0.019995166151242895, 0.22438668675969767, 0.25082491315511424, 0.07964986631495141, 0.019130236781906163, -0.19090155741676343, -0.005513474973308486, -0.3319703859905171, -0.14319575555232722, -0.11331188228241233, 0.08707264206523813, 0.007796226415869801, -0.08733863346711841, 0.3664310578646701, 0.14893852817002945, 0.1965435133748796, -0.041731934244527896, 0.30732639150174207, 0.13507389729344393, 0.0730591566291053, -0.009988050377212985, 0.3699075046406929, 0.1937997741868373, 0.11511086181434262, -0.3367998075108369, 0.035817131151033695, 0.0011661786824291528] |
708.0261 | An Introduction to Quantum Computing | Quantum Computing is a new and exciting field at the intersection of
mathematics, computer science and physics. It concerns a utilization of quantum
mechanics to improve the efficiency of computation. Here we present a gentle
introduction to some of the ideas in quantum computing. The paper begins by
motivating the central ideas of quantum mechanics and quantum computation with
simple toy models. From there we move on to a formal presentation of the small
fraction of (finite dimensional) quantum mechanics that we will need for basic
quantum computation. Central notions of quantum architecture (qubits and
quantum gates) are described. The paper ends with a presentation of one of the
simplest quantum algorithms: Deutsch's algorithm. Our presentation demands
neither advanced mathematics nor advanced physics.
| quant-ph | quantum computing is a new and exciting field at the intersection of mathematics computer science and physics it concerns a utilization of quantum mechanics to improve the efficiency of computation here we present a gentle introduction to some of the ideas in quantum computing the paper begins by motivating the central ideas of quantum mechanics and quantum computation with simple toy models from there we move on to a formal presentation of the small fraction of finite dimensional quantum mechanics that we will need for basic quantum computation central notions of quantum architecture qubits and quantum gates are described the paper ends with a presentation of one of the simplest quantum algorithms deutschs algorithm our presentation demands neither advanced mathematics nor advanced physics | [['quantum', 'computing', 'is', 'a', 'new', 'and', 'exciting', 'field', 'at', 'the', 'intersection', 'of', 'mathematics', 'computer', 'science', 'and', 'physics', 'it', 'concerns', 'a', 'utilization', 'of', 'quantum', 'mechanics', 'to', 'improve', 'the', 'efficiency', 'of', 'computation', 'here', 'we', 'present', 'a', 'gentle', 'introduction', 'to', 'some', 'of', 'the', 'ideas', 'in', 'quantum', 'computing', 'the', 'paper', 'begins', 'by', 'motivating', 'the', 'central', 'ideas', 'of', 'quantum', 'mechanics', 'and', 'quantum', 'computation', 'with', 'simple', 'toy', 'models', 'from', 'there', 'we', 'move', 'on', 'to', 'a', 'formal', 'presentation', 'of', 'the', 'small', 'fraction', 'of', 'finite', 'dimensional', 'quantum', 'mechanics', 'that', 'we', 'will', 'need', 'for', 'basic', 'quantum', 'computation', 'central', 'notions', 'of', 'quantum', 'architecture', 'qubits', 'and', 'quantum', 'gates', 'are', 'described', 'the', 'paper', 'ends', 'with', 'a', 'presentation', 'of', 'one', 'of', 'the', 'simplest', 'quantum', 'algorithms', 'deutschs', 'algorithm', 'our', 'presentation', 'demands', 'neither', 'advanced', 'mathematics', 'nor', 'advanced', 'physics']] | [-0.09525925055055356, 0.15017867856848288, -0.11050453575752009, 0.03310003584133446, -0.08241755439619708, -0.2069735951471801, 0.05014000254365184, 0.2936329020421982, -0.2706426989620294, -0.30383302139618046, 0.07135768884289403, -0.2429433569493817, -0.1792774282829321, 0.2394337192162629, -0.12622290654264096, 0.07424418893226278, 0.07343547548947295, 0.03056506100072851, -0.08578742979041384, -0.28849199019955485, 0.2674326870885746, 0.0657673996846699, 0.2507482183362713, 0.06233819816034378, 0.10048086868932213, 0.026164620739930287, -0.020071144643565263, 0.008840909962186484, -0.15379195509894186, 0.20543341980717048, 0.3093925557544181, 0.1771884785465351, 0.3263378776307028, -0.477801876506064, -0.17415117078680334, 0.05811854864447472, 0.09816026364877153, 0.1830395087152549, -0.0877973188663174, -0.2595826925149536, 0.05237237029761924, -0.20117141843993006, -0.12237456716347213, -0.06320791259953161, 0.00722151546174948, -0.05279798281371472, -0.12729742818671028, -0.0023158478429465275, 0.09596659680752735, 0.10580699569810696, 0.06710909181951197, -0.054842036187164184, 0.09818828977148496, 0.11978465014296334, -0.07709035785618897, -0.0003658598137459135, 0.16616809797829124, -0.18585209559150678, -0.2446558077524348, 0.39374191256436875, 0.04440175597290925, -0.14470894048671898, 0.20482666249769338, -0.08595087340222747, -0.17360275481615547, 0.02205699962389663, 0.1465763133965675, 0.057422766030379914, -0.07947964617240477, 0.1641930500386738, 0.038830704245019734, 0.1311741438732157, 0.011841647951613838, 0.05507113227651008, 0.2503949333951483, 0.14126505673961426, 0.039741416545054774, 0.1308541003675238, 0.0017346612393583467, -0.2391882786390985, -0.383101606423535, -0.23665244987885642, -0.2145629131076176, 0.12052024603285164, -0.025423819607604536, -0.18609409815275935, 0.40130448610923153, 0.15476709575348768, 0.10763225493937488, 0.03291175406373189, 0.33571248101751977, 0.11249472006277098, 0.040810325150321264, 0.09093124222207238, 0.18376803361338456, 0.20418180499748304, 0.11936268270511664, -0.15559880175898458, -0.016459163709929805, 0.08006952196071909] |
708.0262 | Magnifying perfect lens and superlens design by coordinate
transformation | The coordinate transformation technique is applied to the design of perfect
lenses and superlenses. In particular, anisotropic metamaterials that magnify
two-dimensional planar images beyond the diffraction limit are designed by the
use of oblate spheroidal coordinates. The oblate spheroidal perfect lens or
superlens can naturally be used in reverse for lithography of planar
subwavelength patterns.
| physics.optics | the coordinate transformation technique is applied to the design of perfect lenses and superlenses in particular anisotropic metamaterials that magnify twodimensional planar images beyond the diffraction limit are designed by the use of oblate spheroidal coordinates the oblate spheroidal perfect lens or superlens can naturally be used in reverse for lithography of planar subwavelength patterns | [['the', 'coordinate', 'transformation', 'technique', 'is', 'applied', 'to', 'the', 'design', 'of', 'perfect', 'lenses', 'and', 'superlenses', 'in', 'particular', 'anisotropic', 'metamaterials', 'that', 'magnify', 'twodimensional', 'planar', 'images', 'beyond', 'the', 'diffraction', 'limit', 'are', 'designed', 'by', 'the', 'use', 'of', 'oblate', 'spheroidal', 'coordinates', 'the', 'oblate', 'spheroidal', 'perfect', 'lens', 'or', 'superlens', 'can', 'naturally', 'be', 'used', 'in', 'reverse', 'for', 'lithography', 'of', 'planar', 'subwavelength', 'patterns']] | [-0.08295276065526361, 0.10697756128554994, -0.09485810416411947, 0.031092940010553734, -0.1612057633359324, -0.13543766747144134, -0.09981142600828952, 0.4720961302391846, -0.23620013763958758, -0.3098554443229328, 0.03762689173983579, -0.2533825947479768, -0.2067806779618629, 0.20677669257856907, -0.046747518305412745, 0.11810013748366724, -0.00887001307088543, -0.11885526027869095, -0.06512578214010732, -0.18224209372631528, 0.2779776035723361, 0.033606666495854205, 0.34265081985768947, -0.07869880791245536, 0.07080270366065881, 0.10734846962467683, 0.04569338360293345, 0.08024774171327326, -0.13520173351346537, 0.07586944743736901, 0.2714893931014971, 0.016378325494852932, 0.11281985801390626, -0.4675529071214524, -0.19391159926625814, 0.03145285758443854, 0.22878990062427793, 0.12839056309312583, -0.1180922310037369, -0.27683362957428803, 0.04458461512218822, -0.0858563133938746, -0.2504659625193612, -0.01820280703461983, -0.04187157090372321, 0.08816864073953845, -0.22554245191541586, 0.049032850796555234, 0.139505132203075, 0.031646884673021056, -0.022355006330392578, -0.026198174414986914, 0.0055592812767083, 0.05403749477964911, -0.07597633886934173, -0.004000172975727103, 0.16644164516844534, -0.13734779901463878, -0.0867320235141299, 0.47978616057133133, -0.022134511375969106, -0.22292676490138877, 0.13106179628521203, -0.14773663179948926, -0.016434763295745308, 0.1744558652693575, 0.22905417284504934, 0.13755148786374113, -0.14158350952308285, 0.08625963590933348, -0.0371572066267783, 0.18037428192116997, 0.23250866358337755, -0.021643805647776886, 0.2993098774078217, 0.12943511046045883, 0.06537993586812677, 0.1618458351776512, -0.12925215317783031, 0.020524479177865117, -0.2051105848428878, -0.1384896379980174, -0.22542031095786527, 0.03747657220810652, -0.1591873357577821, -0.21146122122352773, 0.27405847728210075, 0.0746736426668411, 0.09942985444583675, -0.05521842466497963, 0.32877677489410745, 0.05053969375281171, 0.16087341777641664, -0.04029223824089224, 0.34432912883772093, 0.15774793985977092, 0.08002042829651725, -0.1661214050328867, -0.05153775537725199, 0.014137685976245186] |
708.0263 | Type Ia and II supernovae contributions to the metal enrichment in
intra-cluster medium observed with Suzaku | We studied the properties of the intra-cluster medium (ICM) in two clusters
of galaxies (AWM 7 and Abell 1060) and two groups (HCG 62 and NGC 507) with the
X-ray Observatory Suzaku. Based on spatially resolved energy spectra, we
measured for the first time precise cumulative ICM metal masses within 0.1 and
~0.3 r_{180}. Comparing our results with supernova nucleosynthesis models, the
number ratio of type II (SNe II) to type Ia (SNe Ia) is estimated to be ~3.5,
assuming the metal mass in the ICM is represented by the sum of products
synthesized in SNe Ia and SNe II. Normalized by the K-band luminosities of
present galaxies, and including the metals in stars, the integrated number of
past SNe II explosions is estimated to be close to or somewhat higher than the
star formation rate determined from Hubble Deep Field observations.
| astro-ph | we studied the properties of the intracluster medium icm in two clusters of galaxies awm 7 and abell 1060 and two groups hcg 62 and ngc 507 with the xray observatory suzaku based on spatially resolved energy spectra we measured for the first time precise cumulative icm metal masses within 01 and 03 r_180 comparing our results with supernova nucleosynthesis models the number ratio of type ii sne ii to type ia sne ia is estimated to be 35 assuming the metal mass in the icm is represented by the sum of products synthesized in sne ia and sne ii normalized by the kband luminosities of present galaxies and including the metals in stars the integrated number of past sne ii explosions is estimated to be close to or somewhat higher than the star formation rate determined from hubble deep field observations | [['we', 'studied', 'the', 'properties', 'of', 'the', 'intracluster', 'medium', 'icm', 'in', 'two', 'clusters', 'of', 'galaxies', 'awm', '7', 'and', 'abell', '1060', 'and', 'two', 'groups', 'hcg', '62', 'and', 'ngc', '507', 'with', 'the', 'xray', 'observatory', 'suzaku', 'based', 'on', 'spatially', 'resolved', 'energy', 'spectra', 'we', 'measured', 'for', 'the', 'first', 'time', 'precise', 'cumulative', 'icm', 'metal', 'masses', 'within', '01', 'and', '03', 'r_180', 'comparing', 'our', 'results', 'with', 'supernova', 'nucleosynthesis', 'models', 'the', 'number', 'ratio', 'of', 'type', 'ii', 'sne', 'ii', 'to', 'type', 'ia', 'sne', 'ia', 'is', 'estimated', 'to', 'be', '35', 'assuming', 'the', 'metal', 'mass', 'in', 'the', 'icm', 'is', 'represented', 'by', 'the', 'sum', 'of', 'products', 'synthesized', 'in', 'sne', 'ia', 'and', 'sne', 'ii', 'normalized', 'by', 'the', 'kband', 'luminosities', 'of', 'present', 'galaxies', 'and', 'including', 'the', 'metals', 'in', 'stars', 'the', 'integrated', 'number', 'of', 'past', 'sne', 'ii', 'explosions', 'is', 'estimated', 'to', 'be', 'close', 'to', 'or', 'somewhat', 'higher', 'than', 'the', 'star', 'formation', 'rate', 'determined', 'from', 'hubble', 'deep', 'field', 'observations']] | [-0.014063006978560711, 0.0919850837131044, -0.007516831851524996, 0.12139250679699128, -0.08803759254744722, -0.06559002868713103, 0.07861775286089052, 0.4477016583714687, -0.15236485727511767, -0.3361896314513935, 0.022853508081720014, -0.33843757563703497, 0.040262578174957195, 0.21930020870878625, 0.00641965637685285, -0.08297185046257267, 0.07273020864870976, -0.10359431438895703, -0.10551415494656269, -0.3592331528534103, 0.31440745252692864, 0.07153725157582863, 0.20432738895514901, -0.07564642637456492, 0.051492686150595546, -0.13675494298083105, -0.10784913268937192, -0.007023065610014847, -0.1749784026858987, 0.019729851068302492, 0.21623689066813903, 0.14337041801904185, 0.18981916808956106, -0.35863529899793767, -0.22001309067403987, 0.1034215754160369, 0.22580453095642825, -0.003967617326875178, -0.04849533494775066, -0.3024766926135553, 0.08437549441882318, -0.18832759841830587, -0.13092340643740666, 0.1516075438531247, -0.000936882421997389, 0.06173057536410929, -0.22185177134323708, 0.20420175280936823, -0.05087376152768626, 0.07234048427240004, -0.14539055208327958, -0.13118490503287653, -0.04591761522067212, -0.002715692857057381, -0.002558865136807968, 0.030603584055428092, 0.13439649393336034, -0.12934532465780496, 0.020379263346909846, 0.4390399954084989, -0.06137585489648725, 0.09806567465482299, 0.19936057558106127, -0.19992851256064967, -0.13896830826932172, 0.11991294057265868, 0.15054044470377104, 0.08279066439267103, -0.19319930933678234, -0.035933998453555445, 0.00928882241878711, 0.1919153854250908, 0.028398219550120264, 0.07227440835141723, 0.24673116378630447, 0.12096949520481515, -0.024599545963213478, 0.04119541349043598, -0.23285160377182224, 0.023039413950550303, -0.22696592298034632, -0.11055050726301975, -0.13976156240260282, 0.12710193830089722, -0.19465608296290363, -0.08916545101002016, 0.3167558977229547, 0.028973424184122975, 0.22287969412216524, 0.03351048105986605, 0.2672346524900796, 0.0658413455141118, 0.10068626080731481, 0.15355412004200716, 0.3383191072031147, 0.2526220702402241, 0.10551254278455506, -0.24940848199184984, 0.07402806921245557, 0.04069319468739272] |
708.0264 | Field-induced incommensurate order for the quasi-one-dimensional XXZ
model in a magnetic field | We investigate phase transitions of the quasi-one-dimensional XXZ model in a
magnetic field, using the bosonization combined with the mean field treatment
of the inter-chain interaction. We then find that the field induced
incommensurate order is certainly realized in the low field region, while the
transverse staggered order appears in the high field region. On the basis of
the result, we discuss the field-induced phase transition recently observed for
BaCo2V2O8.
| cond-mat.str-el cond-mat.stat-mech | we investigate phase transitions of the quasionedimensional xxz model in a magnetic field using the bosonization combined with the mean field treatment of the interchain interaction we then find that the field induced incommensurate order is certainly realized in the low field region while the transverse staggered order appears in the high field region on the basis of the result we discuss the fieldinduced phase transition recently observed for baco2v2o8 | [['we', 'investigate', 'phase', 'transitions', 'of', 'the', 'quasionedimensional', 'xxz', 'model', 'in', 'a', 'magnetic', 'field', 'using', 'the', 'bosonization', 'combined', 'with', 'the', 'mean', 'field', 'treatment', 'of', 'the', 'interchain', 'interaction', 'we', 'then', 'find', 'that', 'the', 'field', 'induced', 'incommensurate', 'order', 'is', 'certainly', 'realized', 'in', 'the', 'low', 'field', 'region', 'while', 'the', 'transverse', 'staggered', 'order', 'appears', 'in', 'the', 'high', 'field', 'region', 'on', 'the', 'basis', 'of', 'the', 'result', 'we', 'discuss', 'the', 'fieldinduced', 'phase', 'transition', 'recently', 'observed', 'for', 'baco2v2o8']] | [-0.22138525396585465, 0.22036761825105974, -0.02276321763971022, 0.045494164142291994, -0.019584656204096974, -0.057501131249591705, 0.034881834629257875, 0.4021774458033698, -0.2154125787783414, -0.27034858490473457, 0.049884903918219994, -0.23861896354439002, -0.1310620341583022, 0.10681816721002438, 0.07662945800111629, -0.03082016285375825, -0.035728211534608686, 0.06894146355667284, -0.10163820726198278, -0.18066138728920902, 0.3221422283843692, 0.004695043087537799, 0.30499405435153415, 0.08246176388347522, 0.06797687734610268, 0.03194585386663675, 0.09212874809413084, 0.06115198056878788, -0.17391021512168145, 0.0020505069621971675, 0.19662022553134842, -0.07635686156073851, 0.17352523638733797, -0.4098419304671032, -0.22710048779845238, 0.05697905870620161, 0.16044295973011424, 0.16913041373648283, -0.06535381843236142, -0.3204972582021063, 0.016591005147035633, -0.16874233830188, -0.15749348468546356, -0.10856732473912416, -0.05531861795212275, -0.01704431410429866, -0.2987184959330729, 0.10575922411600394, 0.06295230340744767, 0.12507211378376398, -0.08163681357566799, -0.10208768847930644, -0.02744641107107912, 0.06531362926720509, 0.07038376115129462, 0.15805683016244854, 0.086688135559338, -0.19107147878301994, -0.10973917140093233, 0.34712833517364095, -0.11240650081807481, -0.06587771758370634, 0.13482450229514922, -0.2501642829339419, -0.09587937649339437, 0.1637902922396149, 0.1269261587145073, 0.07042080202871667, -0.09512479697753276, 0.11546048644772132, 0.020201813469507866, 0.15959901213645936, -0.026329000207728572, 0.012063223210030368, 0.22814105424497808, 0.16112405066378416, 0.018320453971890468, 0.19538780636420208, -0.164488334451536, -0.14756613904610277, -0.25590098769004854, -0.16016021662258675, -0.19226379320025444, -0.0020580993965268134, -0.0874568587601451, -0.17611776925623418, 0.4269434501150889, 0.1979855023856674, 0.18289531580105955, -0.058691498986445365, 0.21786305330294584, 0.16560482314920852, 0.05845211064442992, 0.04406486047165734, 0.29297924184107355, 0.22510094943323306, 0.10332306526002608, -0.2943574165127107, -0.003026735383485045, 0.06062395787822814] |
708.0265 | Hydrogen Balmer line formation in solar flares affected by return
currents | Aims. We investigate the effect of the electric return currents in solar
flares on the profiles of hydrogen Balmer lines. We consider the monoenergetic
approximation for the primary beam and runaway model of the neutralizing return
current. Methods. Propagation of the 10 keV electron beam from a coronal
reconnection site is considered for the semiempirical chromosphere model F1. We
estimate the local number density of return current using two approximations
for beam energy fluxes between $4\times 10^{11}$ and $1\times 10^{12} {\rm erg
cm^{-2} s^{-1}}$. Inelastic collisions of beam and return-current electrons
with hydrogen are included according to their energy distributions, and the
hydrogen Balmer line intensities are computed using an NLTE radiative transfer
approach. Results. In comparison to traditional NLTE models of solar flares
that neglect the return-current effects, we found a significant increase
emission in the Balmer line cores due to nonthermal excitation by return
current. Contrary to the model without return current, the line shapes are
sensitive to a beam flux. It is the result of variation in the return-current
energy that is close to the hydrogen excitation thresholds and the density of
return-current electrons.
| astro-ph | aims we investigate the effect of the electric return currents in solar flares on the profiles of hydrogen balmer lines we consider the monoenergetic approximation for the primary beam and runaway model of the neutralizing return current methods propagation of the 10 kev electron beam from a coronal reconnection site is considered for the semiempirical chromosphere model f1 we estimate the local number density of return current using two approximations for beam energy fluxes between 4times 1011 and 1times 1012 rm erg cm2 s1 inelastic collisions of beam and returncurrent electrons with hydrogen are included according to their energy distributions and the hydrogen balmer line intensities are computed using an nlte radiative transfer approach results in comparison to traditional nlte models of solar flares that neglect the returncurrent effects we found a significant increase emission in the balmer line cores due to nonthermal excitation by return current contrary to the model without return current the line shapes are sensitive to a beam flux it is the result of variation in the returncurrent energy that is close to the hydrogen excitation thresholds and the density of returncurrent electrons | [['aims', 'we', 'investigate', 'the', 'effect', 'of', 'the', 'electric', 'return', 'currents', 'in', 'solar', 'flares', 'on', 'the', 'profiles', 'of', 'hydrogen', 'balmer', 'lines', 'we', 'consider', 'the', 'monoenergetic', 'approximation', 'for', 'the', 'primary', 'beam', 'and', 'runaway', 'model', 'of', 'the', 'neutralizing', 'return', 'current', 'methods', 'propagation', 'of', 'the', '10', 'kev', 'electron', 'beam', 'from', 'a', 'coronal', 'reconnection', 'site', 'is', 'considered', 'for', 'the', 'semiempirical', 'chromosphere', 'model', 'f1', 'we', 'estimate', 'the', 'local', 'number', 'density', 'of', 'return', 'current', 'using', 'two', 'approximations', 'for', 'beam', 'energy', 'fluxes', 'between', '4times', '1011', 'and', '1times', '1012', 'rm', 'erg', 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708.0266 | A Comprehensive View of Circumstellar Disks in Chamaeleon I: Infrared
Excess, Accretion Signatures and Binarity | We present a comprehensive study of disks around 81 young low-mass stars and
brown dwarfs in the nearby ~2-Myr-old Chamaeleon I star-forming region. We use
mid-infrared photometry from the Spitzer Space Telescope, supplemented by
findings from ground-based high-resolution optical spectroscopy and adaptive
optics imaging. We derive disk fractions of 52 (+/-6) % and 58 (+6/-7) % based
on 8-micron and 24-micron colour excesses, respectively, consistent with those
reported for other clusters of similar age. Within the uncertainties, the disk
frequency in our sample of K3-M8 objects in Cha I does not depend on stellar
mass. Diskless and disk-bearing objects have similar spatial distributions.
There are no obvious transition disks in our sample, implying a rapid timescale
for the inner disk clearing process; however, we find two objects with weak
excess at 3-8 microns and substantial excess at 24 microns, which may indicate
grain growth and dust settling in the inner disk. For a sub-sample of 35
objects with high-resolution spectra, we investigate the connection between
accretion signatures and dusty disks: in the vast majority of cases (29/35) the
two are well correlated, suggesting that, on average, the timescale for gas
dissipation is similar to that for clearing the inner dust disk. The exceptions
are six objects for which dust disks appear to persist even though accretion
has ceased or dropped below measurable levels. Adaptive optics images of 65 of
our targets reveal that 17 have companions at (projected) separations of 10-80
AU. Of the five <20 AU binaries, four lack infrared excess, possibly indicating
that a close companion leads to faster disk dispersal. The closest binary with
excess is separated by ~20 AU, which sets an upper limit of ~8 AU for the outer
disk radius. (abridged)
| astro-ph | we present a comprehensive study of disks around 81 young lowmass stars and brown dwarfs in the nearby 2myrold chamaeleon i starforming region we use midinfrared photometry from the spitzer space telescope supplemented by findings from groundbased highresolution optical spectroscopy and adaptive optics imaging we derive disk fractions of 52 6 and 58 67 based on 8micron and 24micron colour excesses respectively consistent with those reported for other clusters of similar age within the uncertainties the disk frequency in our sample of k3m8 objects in cha i does not depend on stellar mass diskless and diskbearing objects have similar spatial distributions there are no obvious transition disks in our sample implying a rapid timescale for the inner disk clearing process however we find two objects with weak excess at 38 microns and substantial excess at 24 microns which may indicate grain growth and dust settling in the inner disk for a subsample of 35 objects with highresolution spectra we investigate the connection between accretion signatures and dusty disks in the vast majority of cases 2935 the two are well correlated suggesting that on average the timescale for gas dissipation is similar to that for clearing the inner dust disk the exceptions are six objects for which dust disks appear to persist even though accretion has ceased or dropped below measurable levels adaptive optics images of 65 of our targets reveal that 17 have companions at projected separations of 1080 au of the five 20 au binaries four lack infrared excess possibly indicating that a close companion leads to faster disk dispersal the closest binary with excess is separated by 20 au which sets an upper limit of 8 au for the outer disk radius abridged | [['we', 'present', 'a', 'comprehensive', 'study', 'of', 'disks', 'around', '81', 'young', 'lowmass', 'stars', 'and', 'brown', 'dwarfs', 'in', 'the', 'nearby', '2myrold', 'chamaeleon', 'i', 'starforming', 'region', 'we', 'use', 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708.0267 | Probing e-e interactions in a periodic array of GaAs quantum wires | We present the results of non-linear tunnelling spectroscopy between an array
of independent quantum wires and an adjacent two-dimensional electron gas
(2DEG) in a double-quantum-well structure. The two layers are separately
contacted using a surface-gate scheme, and the wires are all very regular, with
dimensions chosen carefully so that there is minimal modulation of the 2DEG by
the gates defining the wires. We have mapped the dispersion spectrum of the 1D
wires down to the depletion of the last 1D subband by measuring the conductance
\emph{G} as a function of the in-plane magnetic field \emph{B}, the interlayer
bias $V_{\rm dc}$ and the wire gate voltage. There is a strong suppression of
tunnelling at zero bias, with temperature and dc-bias dependences consistent
with power laws, as expected for a Tomonaga-Luttinger Liquid caused by
electron-electron interactions in the wires. In addition, the current peaks fit
the free-electron model quite well, but with just one 1D subband there is extra
structure that may indicate interactions.
| cond-mat.mes-hall cond-mat.str-el | we present the results of nonlinear tunnelling spectroscopy between an array of independent quantum wires and an adjacent twodimensional electron gas 2deg in a doublequantumwell structure the two layers are separately contacted using a surfacegate scheme and the wires are all very regular with dimensions chosen carefully so that there is minimal modulation of the 2deg by the gates defining the wires we have mapped the dispersion spectrum of the 1d wires down to the depletion of the last 1d subband by measuring the conductance emphg as a function of the inplane magnetic field emphb the interlayer bias v_rm dc and the wire gate voltage there is a strong suppression of tunnelling at zero bias with temperature and dcbias dependences consistent with power laws as expected for a tomonagaluttinger liquid caused by electronelectron interactions in the wires in addition the current peaks fit the freeelectron model quite well but with just one 1d subband there is extra structure that may indicate interactions | [['we', 'present', 'the', 'results', 'of', 'nonlinear', 'tunnelling', 'spectroscopy', 'between', 'an', 'array', 'of', 'independent', 'quantum', 'wires', 'and', 'an', 'adjacent', 'twodimensional', 'electron', 'gas', '2deg', 'in', 'a', 'doublequantumwell', 'structure', 'the', 'two', 'layers', 'are', 'separately', 'contacted', 'using', 'a', 'surfacegate', 'scheme', 'and', 'the', 'wires', 'are', 'all', 'very', 'regular', 'with', 'dimensions', 'chosen', 'carefully', 'so', 'that', 'there', 'is', 'minimal', 'modulation', 'of', 'the', '2deg', 'by', 'the', 'gates', 'defining', 'the', 'wires', 'we', 'have', 'mapped', 'the', 'dispersion', 'spectrum', 'of', 'the', '1d', 'wires', 'down', 'to', 'the', 'depletion', 'of', 'the', 'last', '1d', 'subband', 'by', 'measuring', 'the', 'conductance', 'emphg', 'as', 'a', 'function', 'of', 'the', 'inplane', 'magnetic', 'field', 'emphb', 'the', 'interlayer', 'bias', 'v_rm', 'dc', 'and', 'the', 'wire', 'gate', 'voltage', 'there', 'is', 'a', 'strong', 'suppression', 'of', 'tunnelling', 'at', 'zero', 'bias', 'with', 'temperature', 'and', 'dcbias', 'dependences', 'consistent', 'with', 'power', 'laws', 'as', 'expected', 'for', 'a', 'tomonagaluttinger', 'liquid', 'caused', 'by', 'electronelectron', 'interactions', 'in', 'the', 'wires', 'in', 'addition', 'the', 'current', 'peaks', 'fit', 'the', 'freeelectron', 'model', 'quite', 'well', 'but', 'with', 'just', 'one', '1d', 'subband', 'there', 'is', 'extra', 'structure', 'that', 'may', 'indicate', 'interactions']] | [-0.18908254747164743, 0.17510651699025098, -0.01721662126686887, 0.013890372190815369, 0.02081105382303181, -0.23383079811942226, 0.06199454216240263, 0.40000782519150874, -0.26113942267643636, -0.31030975585305914, 0.0019431313454977566, -0.3131050159287008, -0.09579134739715583, 0.1903802747071738, 0.043257222169582145, 0.022205711280932846, -0.013124236923798641, -0.05430776447127139, -0.09485702651915028, -0.21316507394622247, 0.2962628685618369, 0.05221987662255556, 0.29314164261431985, 0.07833971618385464, 0.07599211505886098, -0.007047284202796974, 0.08055406970822293, 0.06615222862672916, -0.11503450934074151, 0.016057476775882686, 0.2282542757030507, -0.1163695352683903, 0.20274989914600244, -0.4696850634197363, -0.1902640381862658, 0.0007775651539751092, 0.15371633220756115, 0.13321202031990387, -0.06313844257676453, -0.2509058394689136, 0.028684706744587524, -0.15061148524035625, -0.09461256586628393, -0.01666341471537855, 0.004560353929286835, 0.023237293418200387, -0.24432640643978365, 0.1033876648444613, 0.05714177675559677, 0.07350432073772648, -0.024600086057622286, -0.09413976184387478, -0.05379101863819296, 0.0899191188674076, 0.02041551614865684, 0.05031798669189122, 0.17405148071196416, -0.1250927659150745, -0.0897107614256349, 0.3274166869485508, -0.091859239975702, -0.14848225859358258, 0.16145108710332362, -0.18766117750584604, -0.013990240883059012, 0.12118776144549505, 0.06400812438093358, 0.025749978751106108, -0.15252152422619464, 0.08125819558543819, -0.0378659758398668, 0.18046098283451537, 0.08077353048167243, 0.0591701578452998, 0.2755554925118174, 0.16698176308422238, 0.057665749640284994, 0.11409839860927198, -0.1533095012534618, -0.02381565742576437, -0.2639890700187867, -0.12553157306981985, -0.2182809853765778, 0.048843234819389, -0.06742633862951655, -0.19565530180618723, 0.42763044646013687, 0.12542161890753886, 0.20988088413517667, -0.012427479028701782, 0.29815835788880724, 0.17966450087766608, 0.12932975789798157, 0.04315073182661757, 0.22254893773286719, 0.19356045921720702, 0.0836566059809664, -0.27160531298621843, 0.041793511781309335, -0.00997987495133688] |
708.0268 | Generalized Parton Distributions from Hadronic Observables: Non-Zero
Skewness | We propose a physically motivated parametrization for the unpolarized
generalized parton distributions, H and E, valid at both zero and non-zero
values of the skewness variable, \zeta. Our approach follows a previous
detailed study of the \zeta=0 case where H and E were determined using
constraints from simultaneous fits of the experimental data on both the nucleon
elastic form factors and the deep inelastic structure functions in the non
singlet sector. Additional constraints at \zeta \neq 0 are provided by lattice
calculations of the higher moments of generalized parton distributions. We
illustrate a method for extracting generalized parton distributions from
lattice moments based on a reconstruction using sets of orthogonal polynomials.
The inclusion in our fit of data on Deeply Virtual Compton Scattering is also
discussed. Our method provides a step towards a model independent extraction of
generalized distributions from the data. It also provides an alternative to
double distributions based phenomenological models in that we are able to
satisfy the polynomiality condition by construction, using a combination of
experimental data and lattice, without resorting to any specific mathematical
construct.
| hep-ph | we propose a physically motivated parametrization for the unpolarized generalized parton distributions h and e valid at both zero and nonzero values of the skewness variable zeta our approach follows a previous detailed study of the zeta0 case where h and e were determined using constraints from simultaneous fits of the experimental data on both the nucleon elastic form factors and the deep inelastic structure functions in the non singlet sector additional constraints at zeta neq 0 are provided by lattice calculations of the higher moments of generalized parton distributions we illustrate a method for extracting generalized parton distributions from lattice moments based on a reconstruction using sets of orthogonal polynomials the inclusion in our fit of data on deeply virtual compton scattering is also discussed our method provides a step towards a model independent extraction of generalized distributions from the data it also provides an alternative to double distributions based phenomenological models in that we are able to satisfy the polynomiality condition by construction using a combination of experimental data and lattice without resorting to any specific mathematical construct | [['we', 'propose', 'a', 'physically', 'motivated', 'parametrization', 'for', 'the', 'unpolarized', 'generalized', 'parton', 'distributions', 'h', 'and', 'e', 'valid', 'at', 'both', 'zero', 'and', 'nonzero', 'values', 'of', 'the', 'skewness', 'variable', 'zeta', 'our', 'approach', 'follows', 'a', 'previous', 'detailed', 'study', 'of', 'the', 'zeta0', 'case', 'where', 'h', 'and', 'e', 'were', 'determined', 'using', 'constraints', 'from', 'simultaneous', 'fits', 'of', 'the', 'experimental', 'data', 'on', 'both', 'the', 'nucleon', 'elastic', 'form', 'factors', 'and', 'the', 'deep', 'inelastic', 'structure', 'functions', 'in', 'the', 'non', 'singlet', 'sector', 'additional', 'constraints', 'at', 'zeta', 'neq', '0', 'are', 'provided', 'by', 'lattice', 'calculations', 'of', 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708.0269 | Sharp k-order Sobolev inequalities in the hyperbolic space ${\Bbb H}^n$ | In this paper, we obtain the sharp $k$-th order Sobolev inequalities in the
hyperbolic space ${\H}^n$ for all $k=1,2,3,\cdots$. This gives an answer to an
open question raised by Aubin in [5, p.$\;$176-177] for $W^{k,2}({\H}^n)$ with
$k>1$. In addition, we prove that the associated Sobolev constants are optimal.
| math.AP math.DG | in this paper we obtain the sharp kth order sobolev inequalities in the hyperbolic space hn for all k123cdots this gives an answer to an open question raised by aubin in 5 p176177 for wk2hn with k1 in addition we prove that the associated sobolev constants are optimal | [['in', 'this', 'paper', 'we', 'obtain', 'the', 'sharp', 'kth', 'order', 'sobolev', 'inequalities', 'in', 'the', 'hyperbolic', 'space', 'hn', 'for', 'all', 'k123cdots', 'this', 'gives', 'an', 'answer', 'to', 'an', 'open', 'question', 'raised', 'by', 'aubin', 'in', '5', 'p176177', 'for', 'wk2hn', 'with', 'k1', 'in', 'addition', 'we', 'prove', 'that', 'the', 'associated', 'sobolev', 'constants', 'are', 'optimal']] | [-0.1399583559948951, 0.06447010266452304, 0.02285332259618574, 0.09281888239396115, -0.05536993322893977, -0.10528344843122694, 0.010221275006834831, 0.34259317252371047, -0.31269779726862906, -0.25419160057273177, 0.12261662695349919, -0.30894279742820396, -0.13320661111631327, 0.21897256317444974, -0.1629063370741076, 0.04513636961993244, -0.012765519362356927, 0.07751999290453063, -0.060403398067379994, -0.3278455279767513, 0.3931310139596462, -0.02768200208536453, 0.14647854414199377, 0.12694603345460362, 0.05687750311982301, -0.0535646825718383, 0.003725427470635623, -0.029923981020045985, -0.3017085301646148, 0.19127604721321, 0.300067976075742, 0.05749111694490744, 0.312642804465981, -0.35592368294795357, -0.15006810650229455, 0.15102076335913606, 0.16063505105881226, 0.030918293218645785, -0.05871461572435995, -0.26314056752663517, 0.11587045486602518, -0.04640225292079979, -0.20010003891980482, -0.09326174225037297, 0.040189452614221306, -0.02065320662740204, -0.2969889800995588, 0.08325382698741224, 0.1547830182645056, 0.03580444650983231, -0.14668577558671433, -0.07973926227229337, 0.10938428690036138, 0.11189579139981005, 0.03795491473103741, 0.09779626382773535, -0.0710663440119889, -0.051010085073196224, -0.1305294869467616, 0.34367977935406896, -0.09118126226433863, -0.2300357205638041, 0.06574560697707865, -0.17888290378161603, -0.1875658366518716, 0.0824346117882265, 0.1475721494605144, 0.12344696492784553, -0.10566707597010666, 0.17208972974783845, -0.11083540016164382, 0.1251513564829818, 0.15332603205202355, 0.01488584525262316, 0.009028550568554136, 0.058595513728343776, 0.2076164587918255, 0.18601076325608623, 0.011882997975529481, -0.028657311066571208, -0.3324590293069681, -0.25061901555293137, -0.15089308459654502, 0.12430859208106995, -0.16328240372240543, -0.1394627629753409, 0.31492355266172023, 0.11570948865264655, 0.23587631243798468, 0.09873556641654836, 0.166241015204125, 0.13047682838126395, -0.04532201193893949, 0.16095953430566523, 0.20233744490477773, 0.11844833597230414, 0.10720094509629739, -0.14299151454534795, 0.012673971874432432, 0.17836961658257577] |
708.027 | Solar cycle variation of real CME latitudes | With the assumption of radial motion and uniform longitudinal distribution of
coronal mass ejections (CMEs), we propose a method to eliminate projection
effects from the apparent observed CME latitude distribution. This method has
been applied to SOHO LASCO data from 1996 January to 2006 December. As a
result, we find that the real CME latitude distribution had the following
characteristics: (1) High-latitude CMEs ($\theta>60^{\circ}$ where $\theta$ is
the latitude) constituted 3% of all CMEs and mainly occurred during the time
when the polar magnetic fields reversed sign. The latitudinal drift of the
high-latitude CMEs was correlated with that of the heliospheric current sheet.
(2) 4% of all CMEs occurred in the range $45^{\circ}\leq\theta\leq60^{\circ}$.
These mid-latitude CMEs occurred primarily in 2000, near the middle of 2002 and
in 2005, respectively, forming a prominent three-peak structure; (3) The
highest occurrence probability of low-latitude ($\theta< 45^{\circ}$) CMEs was
at the minimum and during the declining phase of the solar cycle. However, the
highest occurrence rate of low-latitude CMEs was at the maximum and during the
declining phase of the solar cycle. The latitudinal evolution of low-latitude
CMEs did not follow the Sp\"{o}rer sunspot law, which suggests that many CMEs
originated outside of active regions.
| astro-ph | with the assumption of radial motion and uniform longitudinal distribution of coronal mass ejections cmes we propose a method to eliminate projection effects from the apparent observed cme latitude distribution this method has been applied to soho lasco data from 1996 january to 2006 december as a result we find that the real cme latitude distribution had the following characteristics 1 highlatitude cmes theta60circ where theta is the latitude constituted 3 of all cmes and mainly occurred during the time when the polar magnetic fields reversed sign the latitudinal drift of the highlatitude cmes was correlated with that of the heliospheric current sheet 2 4 of all cmes occurred in the range 45circleqthetaleq60circ these midlatitude cmes occurred primarily in 2000 near the middle of 2002 and in 2005 respectively forming a prominent threepeak structure 3 the highest occurrence probability of lowlatitude theta 45circ cmes was at the minimum and during the declining phase of the solar cycle however the highest occurrence rate of lowlatitude cmes was at the maximum and during the declining phase of the solar cycle the latitudinal evolution of lowlatitude cmes did not follow the sporer sunspot law which suggests that many cmes originated outside of active regions | [['with', 'the', 'assumption', 'of', 'radial', 'motion', 'and', 'uniform', 'longitudinal', 'distribution', 'of', 'coronal', 'mass', 'ejections', 'cmes', 'we', 'propose', 'a', 'method', 'to', 'eliminate', 'projection', 'effects', 'from', 'the', 'apparent', 'observed', 'cme', 'latitude', 'distribution', 'this', 'method', 'has', 'been', 'applied', 'to', 'soho', 'lasco', 'data', 'from', '1996', 'january', 'to', '2006', 'december', 'as', 'a', 'result', 'we', 'find', 'that', 'the', 'real', 'cme', 'latitude', 'distribution', 'had', 'the', 'following', 'characteristics', '1', 'highlatitude', 'cmes', 'theta60circ', 'where', 'theta', 'is', 'the', 'latitude', 'constituted', '3', 'of', 'all', 'cmes', 'and', 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708.0271 | Capacity Region of the Finite-State Multiple Access Channel with and
without Feedback | The capacity region of the Finite-State Multiple Access Channel (FS-MAC) with
feedback that may be an arbitrary time-invariant function of the channel output
samples is considered. We characterize both an inner and an outer bound for
this region, using Masseys's directed information. These bounds are shown to
coincide, and hence yield the capacity region, of FS-MACs where the state
process is stationary and ergodic and not affected by the inputs.
Though `multi-letter' in general, our results yield explicit conclusions when
applied to specific scenarios of interest. E.g., our results allow us to:
- Identify a large class of FS-MACs, that includes the additive mod-2 noise
MAC where the noise may have memory, for which feedback does not enlarge the
capacity region.
- Deduce that, for a general FS-MAC with states that are not affected by the
input, if the capacity (region) without feedback is zero, then so is the
capacity (region) with feedback.
- Deduce that the capacity region of a MAC that can be decomposed into a
`multiplexer' concatenated by a point-to-point channel (with, without, or with
partial feedback), the capacity region is given by $\sum_{m} R_m \leq C$, where
C is the capacity of the point to point channel and m indexes the encoders.
Moreover, we show that for this family of channels source-channel coding
separation holds.
| cs.IT math.IT | the capacity region of the finitestate multiple access channel fsmac with feedback that may be an arbitrary timeinvariant function of the channel output samples is considered we characterize both an inner and an outer bound for this region using masseyss directed information these bounds are shown to coincide and hence yield the capacity region of fsmacs where the state process is stationary and ergodic and not affected by the inputs though multiletter in general our results yield explicit conclusions when applied to specific scenarios of interest eg our results allow us to identify a large class of fsmacs that includes the additive mod2 noise mac where the noise may have memory for which feedback does not enlarge the capacity region deduce that for a general fsmac with states that are not affected by the input if the capacity region without feedback is zero then so is the capacity region with feedback deduce that the capacity region of a mac that can be decomposed into a multiplexer concatenated by a pointtopoint channel with without or with partial feedback the capacity region is given by sum_m r_m leq c where c is the capacity of the point to point channel and m indexes the encoders moreover we show that for this family of channels sourcechannel coding separation holds | [['the', 'capacity', 'region', 'of', 'the', 'finitestate', 'multiple', 'access', 'channel', 'fsmac', 'with', 'feedback', 'that', 'may', 'be', 'an', 'arbitrary', 'timeinvariant', 'function', 'of', 'the', 'channel', 'output', 'samples', 'is', 'considered', 'we', 'characterize', 'both', 'an', 'inner', 'and', 'an', 'outer', 'bound', 'for', 'this', 'region', 'using', 'masseyss', 'directed', 'information', 'these', 'bounds', 'are', 'shown', 'to', 'coincide', 'and', 'hence', 'yield', 'the', 'capacity', 'region', 'of', 'fsmacs', 'where', 'the', 'state', 'process', 'is', 'stationary', 'and', 'ergodic', 'and', 'not', 'affected', 'by', 'the', 'inputs', 'though', 'multiletter', 'in', 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708.0272 | Wavelength-scale stationary-wave integrated Fourier-transform
spectrometry | Spectrometry is a general physical-analysis approach for investigating
light-matter interactions. However, the complex designs of existing
spectrometers render them resistant to simplification and miniaturization, both
of which are vital for applications in micro- and nanotechnology and which are
now undergoing intensive research. Stationary-wave integrated Fourier-transform
spectrometry (SWIFTS)-an approach based on direct intensity detection of a
standing wave resulting from either reflection (as in the principle of colour
photography by Gabriel Lippmann) or counterpropagative interference
phenomenon-is expected to be able to overcome this drawback. Here, we present a
SWIFTS-based spectrometer relying on an original optical near-field detection
method in which optical nanoprobes are used to sample directly the evanescent
standing wave in the waveguide. Combined with integrated optics, we report a
way of reducing the volume of the spectrometer to a few hundreds of cubic
wavelengths. This is the first attempt, using SWIFTS, to produce a very small
integrated one-dimensional spectrometer suitable for applications where
microspectrometers are essential.
| physics.optics | spectrometry is a general physicalanalysis approach for investigating lightmatter interactions however the complex designs of existing spectrometers render them resistant to simplification and miniaturization both of which are vital for applications in micro and nanotechnology and which are now undergoing intensive research stationarywave integrated fouriertransform spectrometry swiftsan approach based on direct intensity detection of a standing wave resulting from either reflection as in the principle of colour photography by gabriel lippmann or counterpropagative interference phenomenonis expected to be able to overcome this drawback here we present a swiftsbased spectrometer relying on an original optical nearfield detection method in which optical nanoprobes are used to sample directly the evanescent standing wave in the waveguide combined with integrated optics we report a way of reducing the volume of the spectrometer to a few hundreds of cubic wavelengths this is the first attempt using swifts to produce a very small integrated onedimensional spectrometer suitable for applications where microspectrometers are essential | [['spectrometry', 'is', 'a', 'general', 'physicalanalysis', 'approach', 'for', 'investigating', 'lightmatter', 'interactions', 'however', 'the', 'complex', 'designs', 'of', 'existing', 'spectrometers', 'render', 'them', 'resistant', 'to', 'simplification', 'and', 'miniaturization', 'both', 'of', 'which', 'are', 'vital', 'for', 'applications', 'in', 'micro', 'and', 'nanotechnology', 'and', 'which', 'are', 'now', 'undergoing', 'intensive', 'research', 'stationarywave', 'integrated', 'fouriertransform', 'spectrometry', 'swiftsan', 'approach', 'based', 'on', 'direct', 'intensity', 'detection', 'of', 'a', 'standing', 'wave', 'resulting', 'from', 'either', 'reflection', 'as', 'in', 'the', 'principle', 'of', 'colour', 'photography', 'by', 'gabriel', 'lippmann', 'or', 'counterpropagative', 'interference', 'phenomenonis', 'expected', 'to', 'be', 'able', 'to', 'overcome', 'this', 'drawback', 'here', 'we', 'present', 'a', 'swiftsbased', 'spectrometer', 'relying', 'on', 'an', 'original', 'optical', 'nearfield', 'detection', 'method', 'in', 'which', 'optical', 'nanoprobes', 'are', 'used', 'to', 'sample', 'directly', 'the', 'evanescent', 'standing', 'wave', 'in', 'the', 'waveguide', 'combined', 'with', 'integrated', 'optics', 'we', 'report', 'a', 'way', 'of', 'reducing', 'the', 'volume', 'of', 'the', 'spectrometer', 'to', 'a', 'few', 'hundreds', 'of', 'cubic', 'wavelengths', 'this', 'is', 'the', 'first', 'attempt', 'using', 'swifts', 'to', 'produce', 'a', 'very', 'small', 'integrated', 'onedimensional', 'spectrometer', 'suitable', 'for', 'applications', 'where', 'microspectrometers', 'are', 'essential']] | [-0.07285704990848899, 0.10345787164066375, -0.07612018795257124, 0.017820294729123512, -0.10754108188052972, -0.14326679808398088, 0.008819601540453732, 0.45069794381658235, -0.23334842454021176, -0.32736979006479183, 0.12243514841732879, -0.2681848746041457, -0.1439900105431055, 0.2777941827584679, -0.029370394203191003, 0.12348934482783079, 0.062290124689849714, -0.04681973064939181, -0.01490575773253416, -0.1614699136093259, 0.2587605822441401, 0.08144246004056185, 0.3058945800053577, 0.05889722446309558, 0.11494495272325973, 0.030105505557730793, -0.04536792304366827, -0.017672105298067134, -0.06299699567258359, 0.19677643380127846, 0.2938254453878229, 0.08189953461289406, 0.26448423881083727, -0.4630442933642674, -0.21504276818983878, 0.06712208850697304, 0.15413548806177763, 0.09371931222034618, -0.11518902202292035, -0.2885879148216918, 0.04989390363295873, -0.1317167191548894, -0.1288723746097336, -0.057611785821112184, 0.0020381694783767066, 0.019429152344043056, -0.2410064462882777, 0.02005120875624319, 0.00156442410312593, 0.061052170656621454, -0.031734586459739755, -0.04910424319949622, 0.05410297240441044, 0.09073814324879398, -0.031673238516474765, 0.027250632751577845, 0.12418763587639357, -0.12641891200716296, -0.09883566309775536, 0.40733162105704346, -0.04610409769229591, -0.14128977296253045, 0.21464363519567997, -0.12523312715270246, -0.07720474816548327, 0.16300872541964054, 0.19106541032902896, 0.13245044813180964, -0.18988918280228972, 0.02456170314185632, 0.029053970979099782, 0.18583457298052963, 0.09861606164524953, 0.08838343835591028, 0.21924015385098755, 0.20536647123401053, 0.04113362059074765, 0.13706499728645818, -0.15158864082322301, -0.005621975992495815, -0.24399008632792782, -0.16342211784794927, -0.18135795071255414, 0.049204640761599874, 0.013565839530298641, -0.16888166546976816, 0.34829260914276045, 0.17882244867738337, 0.15588479018226886, -0.014554578988657644, 0.3653198602050543, 0.11579124443465844, 0.14058569581674724, -0.029355170562242468, 0.2732250160972277, 0.12373834423565616, 0.12345213793683797, -0.20436032568570225, -0.006937012396131953, 0.0044652116826425] |
708.0273 | A simply connected surface of general type with p_g=0 and K^2=3 | Motivated by a recent result of Y. Lee and the second author[7], we construct
a simply connected minimal complex surface of general type with p_g=0 and K^2=3
using a rational blow-down surgery and Q-Gorenstein smoothing theory. In a
similar fashion, we also construct a new simply connected symplectic 4-manifold
with b_2^+=1 and K^2=4.
| math.AG math.SG | motivated by a recent result of y lee and the second author7 we construct a simply connected minimal complex surface of general type with p_g0 and k23 using a rational blowdown surgery and qgorenstein smoothing theory in a similar fashion we also construct a new simply connected symplectic 4manifold with b_21 and k24 | [['motivated', 'by', 'a', 'recent', 'result', 'of', 'y', 'lee', 'and', 'the', 'second', 'author7', 'we', 'construct', 'a', 'simply', 'connected', 'minimal', 'complex', 'surface', 'of', 'general', 'type', 'with', 'p_g0', 'and', 'k23', 'using', 'a', 'rational', 'blowdown', 'surgery', 'and', 'qgorenstein', 'smoothing', 'theory', 'in', 'a', 'similar', 'fashion', 'we', 'also', 'construct', 'a', 'new', 'simply', 'connected', 'symplectic', '4manifold', 'with', 'b_21', 'and', 'k24']] | [-0.16451107774180576, 0.06286410928274003, -0.11301551395669006, 0.07293591007160452, -0.1328250993258105, -0.2475944739820149, 0.05771167111323358, 0.34024534900135434, -0.24236738524184778, -0.24628730727216372, 0.09986149932284696, -0.2377654667585515, -0.2633708682663452, 0.21912165122249952, -0.22430520674858528, -0.022221432497295048, 0.02310983379272959, 0.012455405165942816, -0.12556006577184375, -0.28661407566127867, 0.41594773972442806, -0.08687595567271973, 0.14321222070318002, 0.041784021484020814, 0.12440318925879322, 0.02260316945075129, -0.0642377315268207, 0.07527439201322313, -0.2166074805875094, 0.1792961962458391, 0.23504645513066164, 0.010504932895016212, 0.1365529133293491, -0.40331184831134476, -0.2365686260880186, 0.1485443514538929, 0.1030157799116121, 0.03504987238333202, -0.08910617529629515, -0.25482643005223227, 0.10688713225177847, -0.16184504029269403, -0.1979721989751292, -0.06146627923366255, -0.0005117176960294063, 0.02826984368193035, -0.19849441649813132, 0.00011200732226895455, 0.07781653414265467, 0.09981020178216007, 0.001681165133889478, -0.05162072734002812, -0.0657559078759872, 0.03740639766105092, -0.06954486019094475, 0.17510647679535815, 0.030230143626865286, -0.06300947890402032, -0.10829872279786147, 0.2871203250430811, -0.10555652424115508, -0.23998550089219442, 0.15042194686471844, -0.0833888829130536, -0.1755017005981734, 0.11573793995194137, 0.0690926716913684, 0.20316983544482634, -0.06396473023610619, 0.14927258302654642, -0.08458184633547297, 0.07451593567384407, 0.10306286869140771, -0.12438000303742368, 0.13632012369970864, 0.14405659976182505, 0.08218865173582274, 0.07177472981409384, 0.0070628841461327216, 0.010091680415476171, -0.34179564894965064, -0.2140768080806503, -0.10568935812737507, 0.17059673929515368, -0.11581058961298997, -0.17416183217070424, 0.3890719359668975, -0.05894356210214587, 0.2358453947907457, 0.13536087973401523, 0.24662461805229002, 0.027370759518817067, 0.03442719403224496, 0.10251006360452336, 0.08551677951338486, 0.18136178441077042, -0.026589938027497668, -0.09089714765622585, -0.08375864605589484, 0.1773387112457735] |
708.0274 | Efficiency of feedback process in cavity quantum electrodynamics | Utilizing the continuous frequency mode quantization scheme, we study from
first principle the efficiency of a feedback scheme that can generate maximally
entangled states of two atoms in an optical cavity through their interactions
with a single input photon. The spectral function of the photon emitted from
the cavity, which will be used as the input of the next round in the feedback
process, is obtained analytically. We find that the spectral function of the
photon is modified in each round and deviates from the original one. The
efficiency of the feedback scheme consequently deteriorates gradually after
several rounds of operation.
| quant-ph | utilizing the continuous frequency mode quantization scheme we study from first principle the efficiency of a feedback scheme that can generate maximally entangled states of two atoms in an optical cavity through their interactions with a single input photon the spectral function of the photon emitted from the cavity which will be used as the input of the next round in the feedback process is obtained analytically we find that the spectral function of the photon is modified in each round and deviates from the original one the efficiency of the feedback scheme consequently deteriorates gradually after several rounds of operation | [['utilizing', 'the', 'continuous', 'frequency', 'mode', 'quantization', 'scheme', 'we', 'study', 'from', 'first', 'principle', 'the', 'efficiency', 'of', 'a', 'feedback', 'scheme', 'that', 'can', 'generate', 'maximally', 'entangled', 'states', 'of', 'two', 'atoms', 'in', 'an', 'optical', 'cavity', 'through', 'their', 'interactions', 'with', 'a', 'single', 'input', 'photon', 'the', 'spectral', 'function', 'of', 'the', 'photon', 'emitted', 'from', 'the', 'cavity', 'which', 'will', 'be', 'used', 'as', 'the', 'input', 'of', 'the', 'next', 'round', 'in', 'the', 'feedback', 'process', 'is', 'obtained', 'analytically', 'we', 'find', 'that', 'the', 'spectral', 'function', 'of', 'the', 'photon', 'is', 'modified', 'in', 'each', 'round', 'and', 'deviates', 'from', 'the', 'original', 'one', 'the', 'efficiency', 'of', 'the', 'feedback', 'scheme', 'consequently', 'deteriorates', 'gradually', 'after', 'several', 'rounds', 'of', 'operation']] | [-0.10353171316408875, 0.1527694870896769, -0.09835479517137669, -0.005892574345305566, -0.0010019352043540008, -0.15103263209693799, 0.10770772705730604, 0.3914391924949861, -0.2916366050001418, -0.2873324358024367, 0.06555057278405506, -0.26541585748955276, -0.09584952185004211, 0.21322806318760804, -0.02778037156135139, 0.05254844504196455, 0.07043673454940615, 0.046421379789175224, -0.03990468971597234, -0.21684346309318991, 0.3302281114577067, 0.08619536454835446, 0.2937331448336787, 0.0006122526777262735, 0.1251076002463198, 0.03084544135294486, -0.020688280407892595, -0.02928590146239183, -0.050038051482152866, 0.07611436098018698, 0.17887233422220786, 0.13860067360029363, 0.2893802431863871, -0.4182994434665335, -0.1888285483427272, 0.08807116249082887, 0.15356438941469802, 0.1552689173984996, -0.04507733098609318, -0.23997622992068823, 0.03143805199035323, -0.19344281230011198, -0.08805089586847785, 0.014765311890088095, -0.060268897816797, 0.03452313231549725, -0.290569806076116, 0.05031303104271393, 0.034661356617908666, -0.06698513137047539, -0.026614160276949406, -0.02010060321207684, -0.06903442093125074, 0.1524609705009083, -0.020359600883959574, 0.024159657227170495, 0.1554433190503554, -0.14556198954607572, -0.13913820833106075, 0.36268138692778823, -0.08510235377983881, -0.1775816449213146, 0.11655125790045108, -0.14906575556586285, -0.060261327766416836, 0.16180450348460143, 0.15585996772134952, 0.13235880981319317, -0.10022183203733166, 0.013617855099624595, -0.011183025900938429, 0.22747865800819553, 0.07246269902564806, 0.09858109561339168, 0.1744406741425985, 0.1398047033050743, 0.05324779722913362, 0.22406367643040115, -0.0983610865798327, -0.08493878980775797, -0.31003169885071197, -0.13594277042867892, -0.22443148719768113, 0.03862984421994943, -0.10618363939082172, -0.08339782955475372, 0.4284485812442816, 0.10174150424225643, 0.19581149143194504, 0.021292119769905093, 0.35224696080947276, 0.17941724367803977, 0.07411617586460646, 0.04905303990200973, 0.3096420268279196, 0.10214746418399828, 0.08445926633834064, -0.265715685518606, -0.006248288266914021, 0.034908683846086856] |
708.0275 | A new formulation of asset trading games in continuous time with
essential forcing of variation exponent | We introduce a new formulation of asset trading games in continuous time in
the framework of the game-theoretic probability established by Shafer and Vovk
(Probability and Finance: It's Only a Game! (2001) Wiley). In our formulation,
the market moves continuously, but an investor trades in discrete times, which
can depend on the past path of the market. We prove that an investor can
essentially force that the asset price path behaves with the variation exponent
exactly equal to two. Our proof is based on embedding high-frequency
discrete-time games into the continuous-time game and the use of the Bayesian
strategy of Kumon, Takemura and Takeuchi (Stoch. Anal. Appl. 26 (2008)
1161--1180) for discrete-time coin-tossing games. We also show that the main
growth part of the investor's capital processes is clearly described by the
information quantities, which are derived from the Kullback--Leibler
information with respect to the empirical fluctuation of the asset price.
| q-fin.TR math.PR | we introduce a new formulation of asset trading games in continuous time in the framework of the gametheoretic probability established by shafer and vovk probability and finance its only a game 2001 wiley in our formulation the market moves continuously but an investor trades in discrete times which can depend on the past path of the market we prove that an investor can essentially force that the asset price path behaves with the variation exponent exactly equal to two our proof is based on embedding highfrequency discretetime games into the continuoustime game and the use of the bayesian strategy of kumon takemura and takeuchi stoch anal appl 26 2008 11611180 for discretetime cointossing games we also show that the main growth part of the investors capital processes is clearly described by the information quantities which are derived from the kullbackleibler information with respect to the empirical fluctuation of the asset price | [['we', 'introduce', 'a', 'new', 'formulation', 'of', 'asset', 'trading', 'games', 'in', 'continuous', 'time', 'in', 'the', 'framework', 'of', 'the', 'gametheoretic', 'probability', 'established', 'by', 'shafer', 'and', 'vovk', 'probability', 'and', 'finance', 'its', 'only', 'a', 'game', '2001', 'wiley', 'in', 'our', 'formulation', 'the', 'market', 'moves', 'continuously', 'but', 'an', 'investor', 'trades', 'in', 'discrete', 'times', 'which', 'can', 'depend', 'on', 'the', 'past', 'path', 'of', 'the', 'market', 'we', 'prove', 'that', 'an', 'investor', 'can', 'essentially', 'force', 'that', 'the', 'asset', 'price', 'path', 'behaves', 'with', 'the', 'variation', 'exponent', 'exactly', 'equal', 'to', 'two', 'our', 'proof', 'is', 'based', 'on', 'embedding', 'highfrequency', 'discretetime', 'games', 'into', 'the', 'continuoustime', 'game', 'and', 'the', 'use', 'of', 'the', 'bayesian', 'strategy', 'of', 'kumon', 'takemura', 'and', 'takeuchi', 'stoch', 'anal', 'appl', '26', '2008', '11611180', 'for', 'discretetime', 'cointossing', 'games', 'we', 'also', 'show', 'that', 'the', 'main', 'growth', 'part', 'of', 'the', 'investors', 'capital', 'processes', 'is', 'clearly', 'described', 'by', 'the', 'information', 'quantities', 'which', 'are', 'derived', 'from', 'the', 'kullbackleibler', 'information', 'with', 'respect', 'to', 'the', 'empirical', 'fluctuation', 'of', 'the', 'asset', 'price']] | [-0.05044080480001867, 0.04796416180277862, -0.1684406743784929, 0.10114058739877417, -0.057923317039557325, -0.14321622302780715, 0.11633080985997148, 0.39136415674669933, -0.2944200267802749, -0.25004717408743493, 0.1439673004221896, -0.28566669889619484, -0.17961165522250203, 0.14445113018155098, -0.19343662297043748, 0.024115017664871934, 0.01449096435212199, 0.009716122904979942, 0.07807366802332136, -0.2824349946408039, 0.2801412763261555, 0.03628002865561878, 0.25768015039428416, 0.027256394410662153, 0.17038962289834733, 0.05578380135581797, -0.05141962975601122, 0.018836705269988926, -0.17055094059186185, 0.1263801975788286, 0.2550120197686573, 0.13192438381574048, 0.3804092112453592, -0.39744810738144504, -0.1661295006286053, 0.14202855263474154, 0.018944596459201518, 0.03378076892308641, 0.044225998994763066, -0.31380211428782884, -0.0018745788291796741, -0.21781651239417144, -0.05560277419746072, -0.03704076889752342, 0.048026234083402675, 0.038204468599592506, -0.31895155344008397, 0.06491248161456198, 0.08353840547845068, 0.033188435622497195, -0.0480626661278895, -0.1353692076225209, -0.056304390373446, 0.1147096424844841, 0.09743987803578677, -0.030884526952813636, 0.145421542930448, -0.09390513413904497, -0.2474629998616499, 0.3303242185084312, -0.07675547419965967, -0.14385636540645153, 0.10789009594927298, -0.11463702272548772, -0.1163978990598663, 0.08679458901798665, 0.1658756456328054, 0.0717617365900402, -0.18862042104162827, 0.11444382367491755, -0.09476459142595729, 0.1859219824745251, 0.07526529245641107, -0.01659221673734336, 0.12160087289921892, 0.13543374895590088, 0.15265169648544225, 0.10187904417652312, -0.016765030292362825, -0.25940779626569493, -0.285763618542544, -0.1488526561703758, -0.19116422168960506, 0.0727873331939039, -0.14427045943026412, -0.15340035641253394, 0.36596846273606454, 0.15010489760929305, 0.08862067069920818, 0.1535139054438137, 0.2341126650571823, 0.17172608320951313, -0.057630122983015626, 0.14576846364285523, 0.19080375788745865, 0.06721964547560619, 0.16371931683978427, -0.17205596490819383, 0.1396794146748772, 0.0775467184959792] |
708.0276 | Area Invariance of Apparent Horizons under Arbitrary Boosts | It is a well known analytic result in general relativity that the
2-dimensional area of the apparent horizon of a black hole remains invariant
regardless of the motion of the observer, and in fact is independent of the $
t=constant $ slice, which can be quite arbitrary in general relativity.
Nonetheless the explicit computation of horizon area is often substantially
more difficult in some frames (complicated by the coordinate form of the
metric), than in other frames. Here we give an explicit demonstration for very
restricted metric forms of (Schwarzschild and Kerr) vacuum black holes. In the
Kerr-Schild coordinate expression for these spacetimes they have an explicit
Lorentz-invariant form. We consider {\it boosted} versions with the black hole
moving through the coordinate system. Since these are stationary black hole
spacetimes, the apparent horizons are two dimensional cross sections of their
event horizons, so we compute the areas of apparent horizons in the boosted
space with (boosted) $ t = constant $, and obtain the same result as in the
unboosted case. Note that while the invariance of area is generic, we deal only
with black holes in the Kerr-Schild form, and consider only one particularly
simple change of slicing which amounts to a boost. Even with these restrictions
we find that the results illuminate the physics of the horizon as a null
surface and provide a useful pedagogical tool. As far as we can determine, this
is the first explicit calculation of this type demonstrating the area
invariance of horizons. Further, these calculations are directly relevant to
transformations that arise in computational representation of moving black
holes. We present an application of this result to initial data for boosted
black holes.
| gr-qc | it is a well known analytic result in general relativity that the 2dimensional area of the apparent horizon of a black hole remains invariant regardless of the motion of the observer and in fact is independent of the tconstant slice which can be quite arbitrary in general relativity nonetheless the explicit computation of horizon area is often substantially more difficult in some frames complicated by the coordinate form of the metric than in other frames here we give an explicit demonstration for very restricted metric forms of schwarzschild and kerr vacuum black holes in the kerrschild coordinate expression for these spacetimes they have an explicit lorentzinvariant form we consider it boosted versions with the black hole moving through the coordinate system since these are stationary black hole spacetimes the apparent horizons are two dimensional cross sections of their event horizons so we compute the areas of apparent horizons in the boosted space with boosted t constant and obtain the same result as in the unboosted case note that while the invariance of area is generic we deal only with black holes in the kerrschild form and consider only one particularly simple change of slicing which amounts to a boost even with these restrictions we find that the results illuminate the physics of the horizon as a null surface and provide a useful pedagogical tool as far as we can determine this is the first explicit calculation of this type demonstrating the area invariance of horizons further these calculations are directly relevant to transformations that arise in computational representation of moving black holes we present an application of this result to initial data for boosted black holes | [['it', 'is', 'a', 'well', 'known', 'analytic', 'result', 'in', 'general', 'relativity', 'that', 'the', '2dimensional', 'area', 'of', 'the', 'apparent', 'horizon', 'of', 'a', 'black', 'hole', 'remains', 'invariant', 'regardless', 'of', 'the', 'motion', 'of', 'the', 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708.0277 | Discreteness-induced Transition in Catalytic Reaction Networks | Drastic change in dynamics and statistics in a chemical reaction system,
induced by smallness in the molecule number, is reported. Through stochastic
simulations for random catalytic reaction networks, transition to a novel state
is observed with the decrease in the total molecule number N, characterized by:
i) large fluctuations in chemical concentrations as a result of intermittent
switching over several states with extinction of some molecule species and ii)
strong deviation of time averaged distribution of chemical concentrations from
that expected in the continuum limit, i.e., $N \to \infty$. The origin of
transition is explained by the deficiency of molecule leading to termination of
some reactions. The critical number of molecules for the transition is obtained
as a function of the number of molecules species M and that of reaction paths
K, while total reaction rates, scaled properly, are shown to follow a universal
form as a function of NK/M.
| nlin.AO nlin.PS | drastic change in dynamics and statistics in a chemical reaction system induced by smallness in the molecule number is reported through stochastic simulations for random catalytic reaction networks transition to a novel state is observed with the decrease in the total molecule number n characterized by i large fluctuations in chemical concentrations as a result of intermittent switching over several states with extinction of some molecule species and ii strong deviation of time averaged distribution of chemical concentrations from that expected in the continuum limit ie n to infty the origin of transition is explained by the deficiency of molecule leading to termination of some reactions the critical number of molecules for the transition is obtained as a function of the number of molecules species m and that of reaction paths k while total reaction rates scaled properly are shown to follow a universal form as a function of nkm | [['drastic', 'change', 'in', 'dynamics', 'and', 'statistics', 'in', 'a', 'chemical', 'reaction', 'system', 'induced', 'by', 'smallness', 'in', 'the', 'molecule', 'number', 'is', 'reported', 'through', 'stochastic', 'simulations', 'for', 'random', 'catalytic', 'reaction', 'networks', 'transition', 'to', 'a', 'novel', 'state', 'is', 'observed', 'with', 'the', 'decrease', 'in', 'the', 'total', 'molecule', 'number', 'n', 'characterized', 'by', 'i', 'large', 'fluctuations', 'in', 'chemical', 'concentrations', 'as', 'a', 'result', 'of', 'intermittent', 'switching', 'over', 'several', 'states', 'with', 'extinction', 'of', 'some', 'molecule', 'species', 'and', 'ii', 'strong', 'deviation', 'of', 'time', 'averaged', 'distribution', 'of', 'chemical', 'concentrations', 'from', 'that', 'expected', 'in', 'the', 'continuum', 'limit', 'ie', 'n', 'to', 'infty', 'the', 'origin', 'of', 'transition', 'is', 'explained', 'by', 'the', 'deficiency', 'of', 'molecule', 'leading', 'to', 'termination', 'of', 'some', 'reactions', 'the', 'critical', 'number', 'of', 'molecules', 'for', 'the', 'transition', 'is', 'obtained', 'as', 'a', 'function', 'of', 'the', 'number', 'of', 'molecules', 'species', 'm', 'and', 'that', 'of', 'reaction', 'paths', 'k', 'while', 'total', 'reaction', 'rates', 'scaled', 'properly', 'are', 'shown', 'to', 'follow', 'a', 'universal', 'form', 'as', 'a', 'function', 'of', 'nkm']] | [-0.14275429833602782, 0.18293339431285857, -0.029743386383634062, 0.014798775894256929, 0.05926571115230521, -0.10503879758839806, 0.11047137200366705, 0.3250123330702384, -0.26665080978224676, -0.3268639133125544, 0.0005913752208774289, -0.2921352008357644, -0.09686379595659673, 0.12178944683168083, 0.015391702724155038, 0.041856504995375875, 0.0160195134098952, 0.035719716429399945, 0.0043102415348403155, -0.17723377850372343, 0.292297381885243, 0.057243847344070675, 0.22834144053359826, 0.06481068196396032, 0.06735210936516524, -0.06373641014875223, 0.045872387332104456, 0.029113607433003685, -0.10545479329040973, 0.058706354670769845, 0.2346871332032606, 0.0825882745689402, 0.20629987881208459, -0.4362931261956692, -0.2535322648845613, 0.12386063994374126, 0.14964289430199035, 0.1157679483598137, -0.057386009903857484, -0.22023109005298466, 0.05088733037312825, -0.1325921198197951, -0.1485711245580266, -0.024715337570135793, 0.0985720247713228, 0.10959821553241152, -0.280590349038442, 0.09430579445014398, 0.0377490139612928, 0.07624508985628685, -0.045700737293809655, -0.14899640872996922, -0.08556981667876244, 0.12972741287900136, 0.05789311684202403, 0.03502458831993863, 0.19258539833749333, -0.13065790654780965, -0.06841926291584968, 0.3832641179362933, -0.1363043955853209, -0.14359382242585222, 0.16864639692629377, -0.182173665681233, -0.13558987620907526, 0.2292235691876461, 0.14244130686701587, 0.12269907791439133, -0.15514782742907604, 0.0381482045558126, 0.014411882407342395, 0.1411669224143649, 0.07759603358029077, 0.022133940048515797, 0.14079078500935188, 0.18007144930151603, 0.061675149152676266, 0.11777510430663823, -0.08606891930103303, -0.13345334751841922, -0.27803459744900466, -0.16673183446750045, -0.21500053201491634, 0.11889259983940671, -0.07908112896266782, -0.14479979901322318, 0.33106789574803164, 0.08161100468055035, 0.26981793945965665, 0.04641766880483677, 0.20807177322295806, 0.11670080548229937, 0.0515230482382079, 0.006965029835700989, 0.19546868589590305, 0.16698275481816383, 0.08570096519542858, -0.2697747566907977, 0.15769629972676436, 0.0297139255857716] |
708.0278 | Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a
transverse field | We study the quantum dynamics of a one-dimensional spin-1/2 anisotropic XY
model in a transverse field when the transverse field or the anisotropic
interaction is quenched at a slow but uniform rate. The two quenching schemes
are called transverse and anisotropic quenching respectively. Our emphasis in
this paper is on the anisotropic quenching scheme and we compare the results
with those of the other scheme. In the process of anisotropic quenching, the
system crosses all the quantum critical lines of the phase diagram where the
relaxation time diverges. The evolution is non-adiabatic in the time interval
when the parameters are close to their critical values, and is adiabatic
otherwise. The density of defects produced due to non-adiabatic transitions is
calculated by mapping the many-particle system to an equivalent Landau-Zener
problem and is generally found to vary as $1/\sqrt{\tau}$, where $\tau$ is the
characteristic time scale of quenching, a scenario that supports the
Kibble-Zurek mechanism. Interestingly, in the case of anisotropic quenching,
there exists an additional non-adiabatic transition, in comparison to the
transverse quenching case, with the corresponding probability peaking at an
incommensurate value of the wave vector. In the special case in which the
system passes through a multi-critical point, the defect density is found to
vary as $1/\tau^{1/6}$. The von Neumann entropy of the final state is shown to
maximize at a quenching rate around which the ordering of the final state
changes from antiferromagnetic to ferromagnetic.
| cond-mat.stat-mech quant-ph | we study the quantum dynamics of a onedimensional spin12 anisotropic xy model in a transverse field when the transverse field or the anisotropic interaction is quenched at a slow but uniform rate the two quenching schemes are called transverse and anisotropic quenching respectively our emphasis in this paper is on the anisotropic quenching scheme and we compare the results with those of the other scheme in the process of anisotropic quenching the system crosses all the quantum critical lines of the phase diagram where the relaxation time diverges the evolution is nonadiabatic in the time interval when the parameters are close to their critical values and is adiabatic otherwise the density of defects produced due to nonadiabatic transitions is calculated by mapping the manyparticle system to an equivalent landauzener problem and is generally found to vary as 1sqrttau where tau is the characteristic time scale of quenching a scenario that supports the kibblezurek mechanism interestingly in the case of anisotropic quenching there exists an additional nonadiabatic transition in comparison to the transverse quenching case with the corresponding probability peaking at an incommensurate value of the wave vector in the special case in which the system passes through a multicritical point the defect density is found to vary as 1tau16 the von neumann entropy of the final state is shown to maximize at a quenching rate around which the ordering of the final state changes from antiferromagnetic to ferromagnetic | [['we', 'study', 'the', 'quantum', 'dynamics', 'of', 'a', 'onedimensional', 'spin12', 'anisotropic', 'xy', 'model', 'in', 'a', 'transverse', 'field', 'when', 'the', 'transverse', 'field', 'or', 'the', 'anisotropic', 'interaction', 'is', 'quenched', 'at', 'a', 'slow', 'but', 'uniform', 'rate', 'the', 'two', 'quenching', 'schemes', 'are', 'called', 'transverse', 'and', 'anisotropic', 'quenching', 'respectively', 'our', 'emphasis', 'in', 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708.0279 | Expert Elicitation for Reliable System Design | This paper reviews the role of expert judgement to support reliability
assessments within the systems engineering design process. Generic design
processes are described to give the context and a discussion is given about the
nature of the reliability assessments required in the different systems
engineering phases. It is argued that, as far as meeting reliability
requirements is concerned, the whole design process is more akin to a
statistical control process than to a straightforward statistical problem of
assessing an unknown distribution. This leads to features of the expert
judgement problem in the design context which are substantially different from
those seen, for example, in risk assessment. In particular, the role of experts
in problem structuring and in developing failure mitigation options is much
more prominent, and there is a need to take into account the reliability
potential for future mitigation measures downstream in the system life cycle.
An overview is given of the stakeholders typically involved in large scale
systems engineering design projects, and this is used to argue the need for
methods that expose potential judgemental biases in order to generate analyses
that can be said to provide rational consensus about uncertainties. Finally, a
number of key points are developed with the aim of moving toward a framework
that provides a holistic method for tracking reliability assessment through the
design process.
| stat.ME | this paper reviews the role of expert judgement to support reliability assessments within the systems engineering design process generic design processes are described to give the context and a discussion is given about the nature of the reliability assessments required in the different systems engineering phases it is argued that as far as meeting reliability requirements is concerned the whole design process is more akin to a statistical control process than to a straightforward statistical problem of assessing an unknown distribution this leads to features of the expert judgement problem in the design context which are substantially different from those seen for example in risk assessment in particular the role of experts in problem structuring and in developing failure mitigation options is much more prominent and there is a need to take into account the reliability potential for future mitigation measures downstream in the system life cycle an overview is given of the stakeholders typically involved in large scale systems engineering design projects and this is used to argue the need for methods that expose potential judgemental biases in order to generate analyses that can be said to provide rational consensus about uncertainties finally a number of key points are developed with the aim of moving toward a framework that provides a holistic method for tracking reliability assessment through the design process | [['this', 'paper', 'reviews', 'the', 'role', 'of', 'expert', 'judgement', 'to', 'support', 'reliability', 'assessments', 'within', 'the', 'systems', 'engineering', 'design', 'process', 'generic', 'design', 'processes', 'are', 'described', 'to', 'give', 'the', 'context', 'and', 'a', 'discussion', 'is', 'given', 'about', 'the', 'nature', 'of', 'the', 'reliability', 'assessments', 'required', 'in', 'the', 'different', 'systems', 'engineering', 'phases', 'it', 'is', 'argued', 'that', 'as', 'far', 'as', 'meeting', 'reliability', 'requirements', 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708.028 | Searching for Stable Na-ordered Phases in Single Crystal Samples of
gamma-NaxCoO2 | We report on the preparation and characterization of single crystal gamma
phase NaxCoO2 with 0.25 < x < 0.84 using a non-aqueous electrochemical
chronoamperemetry technique. By carefully mapping the overpotential versus x
(for x < 0.84), we find six distinct stable phases with Na levels corresponding
to x ~ 0.75, 0.71, 0.50, 0.43, 0.33 and 0.25. The composition with x ~0.55
appears to have a critical Na concentration which separates samples with
different magnetic behavior as well as different Na ion diffusion mechanisms.
Chemical analysis of an aged crystal reveals different Na ion diffusion
mechanisms above and below x_c ~ 0.53, where the diffusion process above x_c
has a diffusion coefficient about five times larger than that below x_c. The
series of crystals were studied with X-ray diffraction, susceptibility, and
transport measurements. The crystal with x = 0.5 shows a weak ferromagnetic
transition below T=27 K in addition to the usual transitions at T = 51 K and 88
K. The resistivity of the Curie-Weiss metallic Na0.71CoO2 composition has a
very low residual resistivity, which attests to the high homogeneity of the
crystals prepared by this improved electrochemical method. Our results on the
various stable crystal compositions point to the importance of Na ion ordering
across the phase diagram.
| cond-mat.str-el cond-mat.supr-con | we report on the preparation and characterization of single crystal gamma phase naxcoo2 with 025 x 084 using a nonaqueous electrochemical chronoamperemetry technique by carefully mapping the overpotential versus x for x 084 we find six distinct stable phases with na levels corresponding to x 075 071 050 043 033 and 025 the composition with x 055 appears to have a critical na concentration which separates samples with different magnetic behavior as well as different na ion diffusion mechanisms chemical analysis of an aged crystal reveals different na ion diffusion mechanisms above and below x_c 053 where the diffusion process above x_c has a diffusion coefficient about five times larger than that below x_c the series of crystals were studied with xray diffraction susceptibility and transport measurements the crystal with x 05 shows a weak ferromagnetic transition below t27 k in addition to the usual transitions at t 51 k and 88 k the resistivity of the curieweiss metallic na071coo2 composition has a very low residual resistivity which attests to the high homogeneity of the crystals prepared by this improved electrochemical method our results on the various stable crystal compositions point to the importance of na ion ordering across the phase diagram | [['we', 'report', 'on', 'the', 'preparation', 'and', 'characterization', 'of', 'single', 'crystal', 'gamma', 'phase', 'naxcoo2', 'with', '025', 'x', '084', 'using', 'a', 'nonaqueous', 'electrochemical', 'chronoamperemetry', 'technique', 'by', 'carefully', 'mapping', 'the', 'overpotential', 'versus', 'x', 'for', 'x', '084', 'we', 'find', 'six', 'distinct', 'stable', 'phases', 'with', 'na', 'levels', 'corresponding', 'to', 'x', '075', '071', '050', '043', '033', 'and', '025', 'the', 'composition', 'with', 'x', '055', 'appears', 'to', 'have', 'a', 'critical', 'na', 'concentration', 'which', 'separates', 'samples', 'with', 'different', 'magnetic', 'behavior', 'as', 'well', 'as', 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708.0281 | Stochastic Programming with Probability | In this work we study optimization problems subject to a failure constraint.
This constraint is expressed in terms of a condition that causes failure,
representing a physical or technical breakdown. We formulate the problem in
terms of a probability constraint, where the level of "confidence" is a
modelling parameter and has the interpretation that the probability of failure
should not exceed that level. Application of the stochastic Arrow-Hurwicz
algorithm poses two difficulties: one is structural and arises from the lack of
convexity of the probability constraint, and the other is the estimation of the
gradient of the probability constraint. We develop two gradient estimators with
decreasing bias via a convolution method and a finite difference technique,
respectively, and we provide a full analysis of convergence of the algorithms.
Convergence results are used to tune the parameters of the numerical algorithms
in order to achieve best convergence rates, and numerical results are included
via an example of application in finance.
| math.OC | in this work we study optimization problems subject to a failure constraint this constraint is expressed in terms of a condition that causes failure representing a physical or technical breakdown we formulate the problem in terms of a probability constraint where the level of confidence is a modelling parameter and has the interpretation that the probability of failure should not exceed that level application of the stochastic arrowhurwicz algorithm poses two difficulties one is structural and arises from the lack of convexity of the probability constraint and the other is the estimation of the gradient of the probability constraint we develop two gradient estimators with decreasing bias via a convolution method and a finite difference technique respectively and we provide a full analysis of convergence of the algorithms convergence results are used to tune the parameters of the numerical algorithms in order to achieve best convergence rates and numerical results are included via an example of application in finance | [['in', 'this', 'work', 'we', 'study', 'optimization', 'problems', 'subject', 'to', 'a', 'failure', 'constraint', 'this', 'constraint', 'is', 'expressed', 'in', 'terms', 'of', 'a', 'condition', 'that', 'causes', 'failure', 'representing', 'a', 'physical', 'or', 'technical', 'breakdown', 'we', 'formulate', 'the', 'problem', 'in', 'terms', 'of', 'a', 'probability', 'constraint', 'where', 'the', 'level', 'of', 'confidence', 'is', 'a', 'modelling', 'parameter', 'and', 'has', 'the', 'interpretation', 'that', 'the', 'probability', 'of', 'failure', 'should', 'not', 'exceed', 'that', 'level', 'application', 'of', 'the', 'stochastic', 'arrowhurwicz', 'algorithm', 'poses', 'two', 'difficulties', 'one', 'is', 'structural', 'and', 'arises', 'from', 'the', 'lack', 'of', 'convexity', 'of', 'the', 'probability', 'constraint', 'and', 'the', 'other', 'is', 'the', 'estimation', 'of', 'the', 'gradient', 'of', 'the', 'probability', 'constraint', 'we', 'develop', 'two', 'gradient', 'estimators', 'with', 'decreasing', 'bias', 'via', 'a', 'convolution', 'method', 'and', 'a', 'finite', 'difference', 'technique', 'respectively', 'and', 'we', 'provide', 'a', 'full', 'analysis', 'of', 'convergence', 'of', 'the', 'algorithms', 'convergence', 'results', 'are', 'used', 'to', 'tune', 'the', 'parameters', 'of', 'the', 'numerical', 'algorithms', 'in', 'order', 'to', 'achieve', 'best', 'convergence', 'rates', 'and', 'numerical', 'results', 'are', 'included', 'via', 'an', 'example', 'of', 'application', 'in', 'finance']] | [-0.11771200659374396, 0.011532195601498842, -0.09699699390129005, 0.0709899746301824, -0.06913324746847996, -0.09246198788472691, 0.09132947130773053, 0.3462570491217592, -0.2679583769754372, -0.3164936215968205, 0.14874112548280227, -0.23904487786451414, -0.16638219876232435, 0.19046989932462996, -0.09557142833821804, 0.07949270172712375, 0.0675334586123438, 0.038188189867211786, -0.11570339094197273, -0.2441798850729968, 0.2915897125454397, 0.04582895601531432, 0.2760832465821936, 0.0840843505542374, 0.12214611827999165, -0.02259379910288577, -0.004956810770310321, 0.048347460041584085, -0.12837477542423173, 0.14553066644650656, 0.2318658982052134, 0.174728453639637, 0.3599629728299267, -0.3987383540579171, -0.18485187167161196, 0.11710355745968204, 0.11790582207276826, 0.10677946205455927, -0.034380885606204045, -0.21624450460691355, 0.11386172231228191, -0.16222726936750817, -0.1055731400847435, -0.04960604774056928, -0.05827794134113118, 0.059495988511333954, -0.3366151157116412, 0.10053417863874878, 0.08052086826624735, 0.0411670461543045, -0.06203685358529852, -0.09318873816339662, 0.030530919754327094, 0.1253592305122611, 0.09555551041658593, 0.019805666118195432, 0.11820850195656032, -0.13075430626811096, -0.1327832663598699, 0.38806137056002077, -0.06066401011922613, -0.2550855212399748, 0.17363957803309807, -0.09854422059531014, -0.1546555958576969, 0.12253460714171799, 0.18806608360401303, 0.10106724152142334, -0.1356502401074336, 0.09005050464905212, 0.0039974214368552535, 0.13984058159784232, 0.03419954525365394, 0.01908962818378079, 0.12939276739972522, 0.17566747674659924, 0.12462762146661023, 0.15054416091001224, -0.0892485386527981, -0.09893604772130274, -0.33611146988546325, -0.1435299126384487, -0.17001676174032987, 0.0025052082346519455, -0.09305434389008391, -0.1584853378516979, 0.3848024371589692, 0.17553026698318855, 0.20939701876409775, 0.07724027522347586, 0.3084225873660542, 0.1916419176458756, 0.002681857768633643, 0.03874346893573613, 0.2135406316597741, 0.13876443527896637, 0.043814751173152866, -0.21159136742089857, 0.11744074419297501, 0.060220507068746966] |
708.0282 | Precise dipole moments and quadrupole coupling constants of the cis and
trans conformers of 3-aminophenol: Determination of the absolute conformation | The rotational constants and the nitrogen nuclear quadrupole coupling
constants of cis-3-aminophenol and trans-3-aminophenol are determined using
Fourier-transform microwave spectroscopy. We examine several $J=2\leftarrow{}1$
and $1\leftarrow{}0$ hyperfine-resolved rotational transitions for both
conformers. The transitions are fit to a rigid rotor Hamiltonian including
nuclear quadrupole coupling to account for the nitrogen nucleus. For
cis-3-aminophenol we obtain rotational constants of A=3734.930 MHz, B=1823.2095
MHz, and C=1226.493 MHz, for trans-3-aminophenol of A=3730.1676 MHz,
B=1828.25774 MHz, and C=1228.1948 MHz. The dipole moments are precisely
determined using Stark effect measurements for several hyperfine transitions to
$\mu_a=1.7735$ D, $\mu_b=1.5195$ D for cis-3-aminophenol and $\mu_a=0.5563$ D,
$\mu_b=0.5376$ D for trans-3-aminophenol. Whereas the rotational constants and
quadrupole coupling constants do not allow to determinate the absolute
configuration of the two conformers, this assignment is straight-forward based
on the dipole moments. High-level \emph{ab initio} calculations (B3LYP/6-31G^*
to MP2/aug-cc-pVTZ) are performed providing error estimates of rotational
constants and dipole moments obtained for large molecules by these theoretical
methods.
| physics.chem-ph physics.atom-ph | the rotational constants and the nitrogen nuclear quadrupole coupling constants of cis3aminophenol and trans3aminophenol are determined using fouriertransform microwave spectroscopy we examine several j2leftarrow1 and 1leftarrow0 hyperfineresolved rotational transitions for both conformers the transitions are fit to a rigid rotor hamiltonian including nuclear quadrupole coupling to account for the nitrogen nucleus for cis3aminophenol we obtain rotational constants of a3734930 mhz b18232095 mhz and c1226493 mhz for trans3aminophenol of a37301676 mhz b182825774 mhz and c12281948 mhz the dipole moments are precisely determined using stark effect measurements for several hyperfine transitions to mu_a17735 d mu_b15195 d for cis3aminophenol and mu_a05563 d mu_b05376 d for trans3aminophenol whereas the rotational constants and quadrupole coupling constants do not allow to determinate the absolute configuration of the two conformers this assignment is straightforward based on the dipole moments highlevel emphab initio calculations b3lyp631g to mp2augccpvtz are performed providing error estimates of rotational constants and dipole moments obtained for large molecules by these theoretical methods | [['the', 'rotational', 'constants', 'and', 'the', 'nitrogen', 'nuclear', 'quadrupole', 'coupling', 'constants', 'of', 'cis3aminophenol', 'and', 'trans3aminophenol', 'are', 'determined', 'using', 'fouriertransform', 'microwave', 'spectroscopy', 'we', 'examine', 'several', 'j2leftarrow1', 'and', '1leftarrow0', 'hyperfineresolved', 'rotational', 'transitions', 'for', 'both', 'conformers', 'the', 'transitions', 'are', 'fit', 'to', 'a', 'rigid', 'rotor', 'hamiltonian', 'including', 'nuclear', 'quadrupole', 'coupling', 'to', 'account', 'for', 'the', 'nitrogen', 'nucleus', 'for', 'cis3aminophenol', 'we', 'obtain', 'rotational', 'constants', 'of', 'a3734930', 'mhz', 'b18232095', 'mhz', 'and', 'c1226493', 'mhz', 'for', 'trans3aminophenol', 'of', 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708.0283 | Localizing the Elliott conjecture at strongly self-absorbing C*-algebras | We formally introduce the concept of localizing the Elliott conjecture at a
given strongly self-absorbing C*-algebra $D$; we also explain how the known
classification theorems for nuclear C*-algebras fit into this concept. As a new
result in this direction, we employ recent results of Lin to show that (under a
mild K-theoretic condition) the class of separable, unital, simple C*-algebras
with locally finite decomposition rank and UCT, and for which projections
separate traces, satisfies the Elliott conjecture localized at the Jiang-Su
algebra Z.
Our main result is formulated in a more general way; this allows us to
outline a strategy to possibly remove the trace space condition as well as the
K-theory restriction entirely. When regarding both our result and the recent
classification theorem of Elliott, Gong and Li as generalizations of the real
rank zero case, the two approaches are perpendicular in a certain sense. The
strategy to attack the general case aims at combining these two approaches.
Our classification theorem covers simple ASH algebras for which projections
separate traces (and the K-groups of which have finitely generated torsion
part); it does, however, not at all depend on an inductive limit structure.
Also, in the monotracial case it does not rely on the existence or absence of
projections in any way. In fact, it is the first such result which, in a
natural way, covers all known unital, separable, simple, nuclear and stably
finite C*-algebras of real rank zero (the K-groups of which have finitely
generated torsion part) as well as the (projectionless) Jiang-Su algebra
itself.
| math.OA math.FA math.KT | we formally introduce the concept of localizing the elliott conjecture at a given strongly selfabsorbing calgebra d we also explain how the known classification theorems for nuclear calgebras fit into this concept as a new result in this direction we employ recent results of lin to show that under a mild ktheoretic condition the class of separable unital simple calgebras with locally finite decomposition rank and uct and for which projections separate traces satisfies the elliott conjecture localized at the jiangsu algebra z our main result is formulated in a more general way this allows us to outline a strategy to possibly remove the trace space condition as well as the ktheory restriction entirely when regarding both our result and the recent classification theorem of elliott gong and li as generalizations of the real rank zero case the two approaches are perpendicular in a certain sense the strategy to attack the general case aims at combining these two approaches our classification theorem covers simple ash algebras for which projections separate traces and the kgroups of which have finitely generated torsion part it does however not at all depend on an inductive limit structure also in the monotracial case it does not rely on the existence or absence of projections in any way in fact it is the first such result which in a natural way covers all known unital separable simple nuclear and stably finite calgebras of real rank zero the kgroups of which have finitely generated torsion part as well as the projectionless jiangsu algebra itself | [['we', 'formally', 'introduce', 'the', 'concept', 'of', 'localizing', 'the', 'elliott', 'conjecture', 'at', 'a', 'given', 'strongly', 'selfabsorbing', 'calgebra', 'd', 'we', 'also', 'explain', 'how', 'the', 'known', 'classification', 'theorems', 'for', 'nuclear', 'calgebras', 'fit', 'into', 'this', 'concept', 'as', 'a', 'new', 'result', 'in', 'this', 'direction', 'we', 'employ', 'recent', 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708.0284 | Uniqueness of ground states of some coupled nonlinear Schrodinger
systems and their application | We establish the uniqueness of ground states of some coupled nonlinear
Schrodinger systems in the whole space. We firstly use Schwartz symmetrization
to obtain the existence of ground states for a more general case. To prove the
uniqueness of ground states, we use the radial symmetry of the ground states to
transform the systems into an ordinary differential system, and then we use the
integral forms of the system. More interestingly, as an application of our
uniqueness results, we derive a sharp vector-valued Gagliardo-Nirenberg
inequality.
| math.AP | we establish the uniqueness of ground states of some coupled nonlinear schrodinger systems in the whole space we firstly use schwartz symmetrization to obtain the existence of ground states for a more general case to prove the uniqueness of ground states we use the radial symmetry of the ground states to transform the systems into an ordinary differential system and then we use the integral forms of the system more interestingly as an application of our uniqueness results we derive a sharp vectorvalued gagliardonirenberg inequality | [['we', 'establish', 'the', 'uniqueness', 'of', 'ground', 'states', 'of', 'some', 'coupled', 'nonlinear', 'schrodinger', 'systems', 'in', 'the', 'whole', 'space', 'we', 'firstly', 'use', 'schwartz', 'symmetrization', 'to', 'obtain', 'the', 'existence', 'of', 'ground', 'states', 'for', 'a', 'more', 'general', 'case', 'to', 'prove', 'the', 'uniqueness', 'of', 'ground', 'states', 'we', 'use', 'the', 'radial', 'symmetry', 'of', 'the', 'ground', 'states', 'to', 'transform', 'the', 'systems', 'into', 'an', 'ordinary', 'differential', 'system', 'and', 'then', 'we', 'use', 'the', 'integral', 'forms', 'of', 'the', 'system', 'more', 'interestingly', 'as', 'an', 'application', 'of', 'our', 'uniqueness', 'results', 'we', 'derive', 'a', 'sharp', 'vectorvalued', 'gagliardonirenberg', 'inequality']] | [-0.14221858350450503, 0.028303580317879096, -0.10403645057505106, 0.11362455255242393, -0.05426106054116698, -0.08875729484374033, 0.02473066598176956, 0.29396311556372573, -0.2907787942464518, -0.21490696444011786, 0.12979145931381295, -0.2864707175532685, -0.14627287883092374, 0.18618650476119536, -0.03377366040778511, 0.09026201799621476, 0.057877856777871356, 0.04431976781171911, -0.12345922369893421, -0.22703620223876309, 0.4124506351264084, -0.0723212423898718, 0.23588581382132628, 0.020752112540032935, 0.08886657069327639, 0.052788973501061695, 0.09262011788566323, -0.06303717004826895, -0.17447327058762313, 0.17038708965513197, 0.21324876721619684, 0.11660279176636215, 0.27525318961535744, -0.4409972594064825, -0.1609130676726208, 0.1352223012925071, 0.1081292553421329, 0.14038828921449534, -0.03963403701679507, -0.38100769786876354, 0.02069906564977239, -0.1281019229332314, -0.2415276333799257, -0.15508134180460784, -0.0015426110476255417, 0.026643144657068393, -0.2883929755757837, 0.08740429946166628, 0.0849710787043852, 0.017505297541399213, -0.2056584649719298, -0.07421466190340545, -0.04772926420795129, 0.11464476393097464, -0.006620523026760887, -0.043204505745704995, 0.028854404418619677, -0.10877242378123543, -0.11371479923562969, 0.3135119792073965, -0.09043898347436505, -0.22844718037282719, 0.18626557147020803, -0.12618924190892894, -0.16249511610059178, 0.08211443087373696, 0.16595710740589042, 0.15170988426269855, -0.11326901784495395, 0.07768265201696468, -0.09950469855547828, 0.15942006025682479, 0.05186323281377554, 0.07132960364893627, 0.0781674290431992, 0.11698982352938722, 0.1977074681507314, 0.2179675049121108, -0.055264034861808316, -0.0864568049855092, -0.3557145420242758, -0.2525314519318807, -0.16693451142157703, 0.08611263422405019, -0.03559981943912777, -0.16225512532846015, 0.38558245048693873, 0.117862240751, 0.17626073054750177, 0.07628081468591356, 0.20479387480984715, 0.17900459751596345, -0.021966753998661742, 0.05426759768606109, 0.2228314307425856, 0.2131637803552782, 0.12480355374076788, -0.18978138335377853, -0.02364646812681766, 0.11334605761529769] |
708.0285 | Comment: Expert Elicitation for Reliable System Design | Comment: Expert Elicitation for Reliable System Design [arXiv:0708.0279]
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708.0286 | Uniqueness of positive bound states to Schrodinger systems with critical
exponents | We prove the uniqueness for the positive solutions of the following elliptic
systems: \begin{eqnarray*} \left\{\begin{array}{ll} - \lap (u(x)) =
u(x)^{\alpha}v(x)^{\beta}
- \lap (v(x)) = u(x)^{\beta} v(x)^{\alpha} \end{array} \right.
\end{eqnarray*} Here $x\in R^n$, $n\geq 3$, and $1\leq \alpha, \beta\leq
\frac{n+2}{n-2}$ with $\alpha+\beta=\frac{n+2}{n-2}$. In the special case when
$n=3$ and $\alpha =2, \beta=3$, the systems come from the stationary
Schrodinger system with critical exponents for Bose-Einstein condensate. As a
key step, we prove the radial symmetry of the positive solutions to the
elliptic system above with critical exponents.
| math.AP | we prove the uniqueness for the positive solutions of the following elliptic systems begineqnarray leftbeginarrayll lap ux uxalphavxbeta lap vx uxbeta vxalpha endarray right endeqnarray here xin rn ngeq 3 and 1leq alpha betaleq fracn2n2 with alphabetafracn2n2 in the special case when n3 and alpha 2 beta3 the systems come from the stationary schrodinger system with critical exponents for boseeinstein condensate as a key step we prove the radial symmetry of the positive solutions to the elliptic system above with critical exponents | [['we', 'prove', 'the', 'uniqueness', 'for', 'the', 'positive', 'solutions', 'of', 'the', 'following', 'elliptic', 'systems', 'begineqnarray', 'leftbeginarrayll', 'lap', 'ux', 'uxalphavxbeta', 'lap', 'vx', 'uxbeta', 'vxalpha', 'endarray', 'right', 'endeqnarray', 'here', 'xin', 'rn', 'ngeq', '3', 'and', '1leq', 'alpha', 'betaleq', 'fracn2n2', 'with', 'alphabetafracn2n2', 'in', 'the', 'special', 'case', 'when', 'n3', 'and', 'alpha', '2', 'beta3', 'the', 'systems', 'come', 'from', 'the', 'stationary', 'schrodinger', 'system', 'with', 'critical', 'exponents', 'for', 'boseeinstein', 'condensate', 'as', 'a', 'key', 'step', 'we', 'prove', 'the', 'radial', 'symmetry', 'of', 'the', 'positive', 'solutions', 'to', 'the', 'elliptic', 'system', 'above', 'with', 'critical', 'exponents']] | [-0.2077321389194908, 0.07739081869161205, 0.01612540532516528, 0.010060722161603124, 0.013728610207871946, -0.28192494912780347, -0.05238575592071195, 0.285682647657003, -0.27066342424176915, -0.13417260813279241, 0.14120351274857368, -0.44596133006536226, -0.07393403203651026, 0.17250651439439646, -0.019151666278278905, 0.16364685207888297, -0.02308805737367395, 0.07330122067227582, -0.055785143506253444, -0.19660824492479426, 0.40055889060980154, -0.18350751758140477, 0.12077563656258243, 0.059126735016514984, 0.10363648047882922, -0.022951703860506982, 0.1469297548947573, -0.09458980805393827, -0.28540836159829525, -0.006866587455608422, 0.225809418908733, 0.04989842269451746, 0.3125044213065618, -0.3341317824500648, -0.15713027423789985, 0.19636661670158936, 0.22103163325286743, -0.04401728840356198, -0.03049348994405775, -0.33495145844873275, 0.1251916646768775, -0.06709949239569751, -0.26219054392857266, -0.018650012921919173, 0.1313975762009998, 0.11771333222925852, -0.39867761016740827, 0.15132579762677226, 0.11705405616401872, 0.04746530258061388, -0.18256546749992744, -0.18730831646973478, -0.036383348269553126, 0.08458664413148101, 0.04875478802743969, 0.1158575206211049, -0.015633582943590664, -0.11599300526188616, -0.03178433116666878, 0.3625415657422965, -0.051024861126855205, -0.22038481988107103, 0.044793021283112466, -0.24285875319774392, -0.1755372711245112, 0.05739131135589007, 0.11351303108732062, 0.16681023489660288, -0.03571049082538708, 0.18217299661534261, -0.05816083788117276, 0.20041734720521334, 0.11488912721412091, -0.04651352621561883, 0.08136095134305614, 0.09111477172627008, 0.1419463686326731, 0.059468801976240514, 0.005033924108771961, -0.02944646163878939, -0.36654183812604485, -0.16569106035299977, -0.0946204850473736, 0.1785608946459583, -0.1364865984257069, -0.1093807017218463, 0.2830812486796345, 0.09135546483382394, 0.15235705829897447, 0.09433486130489391, 0.1525416772759555, 0.1899540214607775, -0.08334781487672767, 0.09054571783901015, 0.1223917141544951, 0.10351303323592749, 0.19877793122955326, -0.24741046596613206, -0.04878061683259056, 0.16374008241993718] |
708.0287 | Comment: Expert Elicitation for Reliable System Design | Comment: Expert Elicitation for Reliable System Design [arXiv:0708.0279]
| stat.ME | comment expert elicitation for reliable system design arxiv07080279 | [['comment', 'expert', 'elicitation', 'for', 'reliable', 'system', 'design', 'arxiv07080279']] | [-0.13158880593255162, -0.08253678819164634, 0.01359944191062823, 0.08462143456563354, -0.34635184425860643, -0.3816389739513397, 0.23191173910163343, 0.4227041760459542, 0.01668366463854909, -0.3733164742588997, 0.10472536156885326, -0.2193321269005537, -0.17297693388536572, 0.1792470645159483, -0.18648051284253597, 0.17346667684614658, 0.1638131458312273, -0.02285316018969752, -0.02082374645397067, -0.3062429854180664, 0.28864883352071047, 0.12729702063370496, 0.36729306634515524, -0.02737639902625233, 0.08572755986824632, 0.11292144822073169, -0.06707205646671355, -0.18760566064156592, -0.16616475861519575, 0.10578619176521897, 0.47778988641221076, 0.3439615205861628, 0.3778730686753988, -0.32828989438712597, -0.16552136791869998, -0.015501279034651816, 0.09431847580708563, 0.029992244206368923, -0.03613015552400611, -0.37629422172904015, -0.0014798336196690798, -0.28120464365929365, -0.07956993486732244, -0.2956573264673352, 0.07270611147396266, -0.08001321661868133, -0.3934545274823904, -0.057465534962830134, 0.022450450574979186, 0.16223266627639532, -0.08902276353910565, -0.19102309124718886, 0.09766197018325329, 0.17134642449673265, -0.027139668352901936, 0.042660829378291965, 0.2713606795296073, -0.11587312235496938, -0.1496587791480124, 0.29109030216932297, 0.19693752721650526, -0.19850019156001508, 0.07370673900004476, 0.092577600851655, -0.212931202724576, 0.03051244467496872, 0.2339988392777741, 0.029716308694332838, -0.22421136777848005, -0.06359839346259832, 0.0616972129791975, 0.33630774775519967, -0.039855155657278374, -0.016088674776256084, 0.24169689789414406, 0.3744099009782076, 0.058869087137281895, 0.020160517480690032, 0.14105296949855983, -0.0632082368247211, -0.29169416055083275, -0.16058042086660862, -0.1235410172957927, 0.00781639851629734, -0.16586663067573681, -0.16470264410600066, 0.17867712303996086, 0.35417105071246624, -0.031178585413726978, 0.0803235312923789, 0.3259100243449211, 0.005445688148029149, -0.1762472979753511, -0.01854930177796632, 0.20739935990422964, -0.16019508871249855, 0.2115247631445527, -0.2523492460604757, 0.19745738431811333, 0.024832437746226788] |
708.0288 | Comment: Expert Elicitation for Reliable System Design | Comment: Expert Elicitation for Reliable System Design [arXiv:0708.0279]
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708.0289 | Pulsation tomography of rapidly oscillating Ap stars. Resolving the
third dimension in peculiar pulsating stellar atmospheres | We present detailed analysis of the vertical pulsation mode cross-section in
ten rapidly oscillating Ap (roAp) stars based on spectroscopic time-series
observations. The aim of this analysis is to derive from observations a
complete picture of how the amplitude and phase of magnetoacoustic waves depend
on depth. We find common features in the pulsational behaviour of roAp stars.
Within a sample of representative elements the lowest amplitudes are detected
for Eu II (and Fe in 33 Lib and in HD 19918), then pulsations go through the
layers where Halpha core, Nd, and Pr lines are formed. There RV amplitude
reaches its maximum, and after that decreases in most stars. The maximum RV of
the second REE ions is always delayed relative to the first ions. The largest
phase shifts are detected in Tb III and Th III lines. Pulsational variability
of the Th III lines is detected here for the first time. The Y II lines deviate
from this picture, showing even lower amplitudes than Eu II lines but half a
period phase shift relative to other weakly pulsating lines. The roAp stars
exhibit similarity in the depth-dependence of pulsation phase and amplitude,
indicating similar chemical stratification and comparable vertical mode
cross-sections. In general, pulsations waves are represented by a superposition
of the running and standing wave components. In the atmospheres of roAp stars
with the pulsation frequency below the acoustic cut-off frequency, pulsations
have a standing-wave character in the deeper layers and behave like a running
wave in the outer layers. Cooler roAp stars develop a running wave higher in
the atmosphere. In stars with pulsation frequency close to the acoustic cut-off
one, pulsation waves have a running character starting from deep layers.
(Abridged)
| astro-ph | we present detailed analysis of the vertical pulsation mode crosssection in ten rapidly oscillating ap roap stars based on spectroscopic timeseries observations the aim of this analysis is to derive from observations a complete picture of how the amplitude and phase of magnetoacoustic waves depend on depth we find common features in the pulsational behaviour of roap stars within a sample of representative elements the lowest amplitudes are detected for eu ii and fe in 33 lib and in hd 19918 then pulsations go through the layers where halpha core nd and pr lines are formed there rv amplitude reaches its maximum and after that decreases in most stars the maximum rv of the second ree ions is always delayed relative to the first ions the largest phase shifts are detected in tb iii and th iii lines pulsational variability of the th iii lines is detected here for the first time the y ii lines deviate from this picture showing even lower amplitudes than eu ii lines but half a period phase shift relative to other weakly pulsating lines the roap stars exhibit similarity in the depthdependence of pulsation phase and amplitude indicating similar chemical stratification and comparable vertical mode crosssections in general pulsations waves are represented by a superposition of the running and standing wave components in the atmospheres of roap stars with the pulsation frequency below the acoustic cutoff frequency pulsations have a standingwave character in the deeper layers and behave like a running wave in the outer layers cooler roap stars develop a running wave higher in the atmosphere in stars with pulsation frequency close to the acoustic cutoff one pulsation waves have a running character starting from deep layers abridged | [['we', 'present', 'detailed', 'analysis', 'of', 'the', 'vertical', 'pulsation', 'mode', 'crosssection', 'in', 'ten', 'rapidly', 'oscillating', 'ap', 'roap', 'stars', 'based', 'on', 'spectroscopic', 'timeseries', 'observations', 'the', 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708.029 | HST multi-epoch imaging of the PSR B0540-69 system unveils a highly
dynamic synchrotron nebula | PSR B0540-69 is the Crab twin in the Large Magellanic Cloud. Age, energetic
and overall behaviour of the two pulsars are very similar. The same is true for
the general appearance of their pulsar wind nebulae (PWNe). Analysis of Hubble
Space Telescope images spanning 10 years unveiled significant variability in
the PWN surrounding PSR B0540-69, with a hot spot moving at ~0.04c. Such
behaviour, reminiscent of the variability observed in the Crab nebula along the
counter-jet direction, may suggest an alternative scenario for the geometry of
the system. The same data were used to assess the pulsar proper motion. The
null displacement recorded over 10 y allowed us to set a 3sigma upper limit of
290 km/s to the pulsar velocity.
| astro-ph | psr b054069 is the crab twin in the large magellanic cloud age energetic and overall behaviour of the two pulsars are very similar the same is true for the general appearance of their pulsar wind nebulae pwne analysis of hubble space telescope images spanning 10 years unveiled significant variability in the pwn surrounding psr b054069 with a hot spot moving at 004c such behaviour reminiscent of the variability observed in the crab nebula along the counterjet direction may suggest an alternative scenario for the geometry of the system the same data were used to assess the pulsar proper motion the null displacement recorded over 10 y allowed us to set a 3sigma upper limit of 290 kms to the pulsar velocity | [['psr', 'b054069', 'is', 'the', 'crab', 'twin', 'in', 'the', 'large', 'magellanic', 'cloud', 'age', 'energetic', 'and', 'overall', 'behaviour', 'of', 'the', 'two', 'pulsars', 'are', 'very', 'similar', 'the', 'same', 'is', 'true', 'for', 'the', 'general', 'appearance', 'of', 'their', 'pulsar', 'wind', 'nebulae', 'pwne', 'analysis', 'of', 'hubble', 'space', 'telescope', 'images', 'spanning', '10', 'years', 'unveiled', 'significant', 'variability', 'in', 'the', 'pwn', 'surrounding', 'psr', 'b054069', 'with', 'a', 'hot', 'spot', 'moving', 'at', '004c', 'such', 'behaviour', 'reminiscent', 'of', 'the', 'variability', 'observed', 'in', 'the', 'crab', 'nebula', 'along', 'the', 'counterjet', 'direction', 'may', 'suggest', 'an', 'alternative', 'scenario', 'for', 'the', 'geometry', 'of', 'the', 'system', 'the', 'same', 'data', 'were', 'used', 'to', 'assess', 'the', 'pulsar', 'proper', 'motion', 'the', 'null', 'displacement', 'recorded', 'over', '10', 'y', 'allowed', 'us', 'to', 'set', 'a', '3sigma', 'upper', 'limit', 'of', '290', 'kms', 'to', 'the', 'pulsar', 'velocity']] | [-0.1314956473440609, 0.116314062530349, -0.0640435712535007, 0.13122212038036773, -0.18024783792389817, -0.06766632743456885, 0.04702663694172597, 0.40589511253647814, -0.22180456027661813, -0.36435945836196015, 0.05015888339974571, -0.2802693526960971, 0.02896500100220038, 0.2575305704314123, -0.07324624949804515, -0.022915731469029272, 0.14532102128367655, -0.027597116462285978, -0.007580793478087453, -0.19261154832286195, 0.19828051640190308, 0.07755596714463732, 0.1858961114675299, -0.05028504956021043, 0.14120695971756836, -0.1042425013666834, -0.00363796086181417, -0.03973395374727682, -0.06878667869720577, 0.0801826514580772, 0.17390186023274976, 0.12014304862604458, 0.16683454864681507, -0.374040247148965, -0.198066462912743, 0.06881225723311428, 0.19391680785939713, -0.05446946014811801, 0.03843532222869598, -0.3226544135057729, 0.042399033070407224, -0.22741926112789507, -0.255956553126693, 0.11886632690987403, 0.08578993920294553, 0.03480794284615881, -0.16007609660318697, 0.09260430895099955, -0.011409819245430802, 0.12093531768860426, -0.1570779644299206, -0.09718057729326927, 0.013641037644379702, 0.06732549986701981, 0.09439763996349879, 0.06853927849707278, 0.12523814288837729, -0.13514129068002043, -0.06965419633144682, 0.4092100383944748, -0.05359956463327446, -0.007402638800842456, 0.20150898098714712, -0.29798386777050734, -0.20210899877042532, 0.20301889996467667, 0.13650080351897878, 0.07022877679445035, -0.17012451541771698, 0.006998575642254696, -0.07201795041953668, 0.19911498728800903, 0.08016600570360521, 0.04595969597980272, 0.3105008725754239, 0.1298925428692644, 0.03766993501739315, 0.14896976021079977, -0.33289353682636474, -0.04776112906911895, -0.2336210784534077, -0.07044740463799436, -0.11912551541497146, 0.09349082918810728, -0.19113867017543926, -0.12042305857127855, 0.3843577067552458, 0.12721851203842705, 0.1769322506883297, -0.014208483765640658, 0.2901222354324519, 0.09442925061715463, 0.03507943007102128, 0.16312958550262302, 0.33659366007955854, 0.1479591525463803, 0.16911211911846752, -0.23202889547336938, 0.1295066306921692, -0.024380167676828615] |
708.0291 | Quantum Entanglement of Neutrino Pairs | It is practically shown that a pair of neutrinos from tau decay can form a
flavor entangled state. With this kind of state we show that the locality
constrains imposed by Bell inequality are violated by the quantum mechanics,
and an experimental test of this effect is feasible within the earth's length
scale. Theoretically, the quantum entanglement of neutrino pairs can be
employed to the use of long distance cryptography distribution in a protocol
similar to the BB84.
| quant-ph hep-ph | it is practically shown that a pair of neutrinos from tau decay can form a flavor entangled state with this kind of state we show that the locality constrains imposed by bell inequality are violated by the quantum mechanics and an experimental test of this effect is feasible within the earths length scale theoretically the quantum entanglement of neutrino pairs can be employed to the use of long distance cryptography distribution in a protocol similar to the bb84 | [['it', 'is', 'practically', 'shown', 'that', 'a', 'pair', 'of', 'neutrinos', 'from', 'tau', 'decay', 'can', 'form', 'a', 'flavor', 'entangled', 'state', 'with', 'this', 'kind', 'of', 'state', 'we', 'show', 'that', 'the', 'locality', 'constrains', 'imposed', 'by', 'bell', 'inequality', 'are', 'violated', 'by', 'the', 'quantum', 'mechanics', 'and', 'an', 'experimental', 'test', 'of', 'this', 'effect', 'is', 'feasible', 'within', 'the', 'earths', 'length', 'scale', 'theoretically', 'the', 'quantum', 'entanglement', 'of', 'neutrino', 'pairs', 'can', 'be', 'employed', 'to', 'the', 'use', 'of', 'long', 'distance', 'cryptography', 'distribution', 'in', 'a', 'protocol', 'similar', 'to', 'the', 'bb84']] | [-0.13651959652242324, 0.2340735100668285, -0.12378667783326446, 0.11990862893752563, -0.014053688121911807, -0.1838032656128351, 0.032027562226479254, 0.3293247888915432, -0.29475789395627755, -0.25804987743210334, 0.028687657300347034, -0.2424679245465459, -0.06838888114986894, 0.20067525435334596, -0.03126797826590542, 0.12764969497966844, 0.08184859992709392, 0.04959394732334962, -0.057545815573599286, -0.2598550552382874, 0.30259341044494736, 0.08122612496252912, 0.30609849231460917, 0.06744658169097817, 0.06736444373233005, -0.02448147220704227, 0.050468041943624996, -0.009204890352124587, -0.08294720692319037, 0.09171672521206813, 0.19483984354883432, 0.17077420991009626, 0.20001110869149366, -0.41020833605375046, -0.17963150112579265, 0.1281531698977909, 0.12121642795868982, 0.15354865984931493, -0.027808310702825204, -0.344992620876441, 0.05391738678848084, -0.19833453092724085, -0.11647391813592269, -0.04545293749572757, -0.0015560615306290297, -0.04653211269909755, -0.28503792711461967, 0.10536824718255024, 0.030645985424948428, -0.009297376725440606, 0.049505538784731656, -0.0295065821458896, 0.03454427861680205, 0.07388368118494654, 0.04826678709986691, 0.004273151087825402, 0.10413118279598749, -0.11692607449964644, -0.15043675777717277, 0.3996086513193754, -0.03314276230939401, -0.21378264057999238, 0.12069421671092129, -0.12887186754363564, -0.1037361902029564, 0.0614635444079072, 0.11751790304119006, 0.10126172709398162, -0.15591974256751248, 0.0675182528666949, -0.10519010838694297, 0.21938771767637286, 0.06786961830519618, 0.11342596649550475, 0.21953292709226027, 0.12604775820046854, 0.08188589344708583, 0.13021098115356067, -0.09854467203601813, -0.11642648437275337, -0.36495705129196626, -0.18647832315391263, -0.2601949567070756, 0.13506869317438358, -0.039192275549934354, -0.07992089045262382, 0.3695035086532768, 0.14307579565315676, 0.15891368797001165, 0.013167908027147254, 0.2627816504488389, 0.09045232021703552, 0.08686415188593599, 0.0793877667031036, 0.30909256018602693, 0.1343046549650936, 0.06383829744150624, -0.24557760634567016, 0.1202440300108626, 0.037949219907228] |
708.0292 | Comment on ``Geometric phase of entangled spin pairs in a magnetic
field'' | The degree of entanglement between two spins may change due to interaction.
About this we find that a wrong result in a recent work by Ge and Wadati [Phys.
Rev. A {\bf72}, 052101(2005)] which breach the basic principle.
| quant-ph | the degree of entanglement between two spins may change due to interaction about this we find that a wrong result in a recent work by ge and wadati phys rev a bf72 0521012005 which breach the basic principle | [['the', 'degree', 'of', 'entanglement', 'between', 'two', 'spins', 'may', 'change', 'due', 'to', 'interaction', 'about', 'this', 'we', 'find', 'that', 'a', 'wrong', 'result', 'in', 'a', 'recent', 'work', 'by', 'ge', 'and', 'wadati', 'phys', 'rev', 'a', 'bf72', '0521012005', 'which', 'breach', 'the', 'basic', 'principle']] | [-0.10790771253717442, 0.13440394420952848, -0.053569068770027824, -0.046889940370520994, -0.05361664900556207, -0.12258457373051594, 0.11682984626127614, 0.28015563261902166, -0.20730201665881193, -0.354292137030926, -0.02860760740845257, -0.26087258766508764, -0.19556006045442903, 0.15812209683159986, -0.12085426989425388, -0.03300497572248181, 0.04493071407907539, -0.007950616948720481, -0.08898023477781357, -0.26118509154508096, 0.24763410009351597, 0.0571885468541748, 0.25886555574834347, 0.1708293171444287, 0.060570651510109506, 0.077416750912865, 0.038473035415841475, 0.013529607819186317, -0.17661539897966982, 0.12452523337884082, 0.20056604296648098, 0.0777679654614379, 0.30340565104658407, -0.4127545237748159, -0.2350977110521247, 0.13050972828124133, 0.056731143293695316, 0.19736083383435876, -0.005245187604385946, -0.3214533636863861, 0.053488971723709255, -0.24298661912042815, -0.14625403400148368, -0.061010206351056695, 0.13359328858657843, -0.02381899753688938, -0.2775947648980137, 0.15156639235404631, 0.15144998560814807, 0.042359325698473387, 0.07752907082128029, -0.025508749441036746, -0.015793923935335543, 0.017322276628369257, 0.05885039326838321, 0.0985188625442485, 0.053041942233297355, -0.04755017502207516, -0.14451267048975247, 0.2885580852420794, -0.019075267715379596, -0.13003036412151736, 0.24000677823399505, -0.11831597857073778, -0.15299173599729934, 0.05233625821872718, 0.1527202922023005, 0.12671887813808602, -0.16419866263297284, 0.0613369490262509, -0.06674371170811355, 0.1746721008611429, 0.1233562702157845, 0.028367453785095777, 0.19652982785676917, 0.06438619073014706, 0.0014582142596029574, 0.08392263664346603, -0.04057736322283745, -0.08786048653483805, -0.32300201058387756, -0.21102327475738195, -0.23282670695334673, 0.15192513132933527, -0.00158345814391699, -0.06388602405786514, 0.4020406540690197, 0.18969015543310283, 0.25611207929129404, -0.026104467710764665, 0.2092093164101243, 0.050481461350702576, 0.019298909671811595, 0.11361137798262967, 0.2917352243223124, 0.15917106040675813, 0.09251583952249752, -0.23101627769776517, 0.064301224131163, 0.026282568436322942] |
708.0293 | Rejoinder: Expert Elicitation for Reliable System Design | Rejoinder: Expert Elicitation for Reliable System Design [arXiv:0708.0279]
| stat.ME | rejoinder expert elicitation for reliable system design arxiv07080279 | [['rejoinder', 'expert', 'elicitation', 'for', 'reliable', 'system', 'design', 'arxiv07080279']] | [-0.0324556571431458, -0.1502893059514463, -0.01868487987667322, 0.09884654870256782, -0.31732478458434343, -0.3486605007201433, 0.21135418652556837, 0.4424263034015894, -0.014701442327350378, -0.39473528042435646, 0.08371124207042158, -0.26857726089656353, -0.16580774309113622, 0.15166439302265644, -0.22437717393040657, 0.2337946593761444, 0.18560870829969645, -0.04862280553788878, 0.04005981842055917, -0.3005170205142349, 0.2550782570615411, 0.15234862559009343, 0.4006919777020812, -0.12193953490350395, 0.11777239898219705, 0.14740546213579364, -0.03705876343883574, -0.14304727618582547, -0.14003966469317675, 0.1670128987170756, 0.5154140777885914, 0.3783138492144644, 0.46968551725149155, -0.264954466256313, -0.15795918880030513, -0.021562487934716046, 0.09186372556723654, -0.037588209845125675, -0.013803311245283112, -0.4051079675555229, -0.00394386169500649, -0.293263996951282, -0.05707274470478296, -0.2741000587120652, 0.0240531035233289, -0.07883563952054828, -0.4859811197966337, -0.02359783493739087, 0.04838955751620233, 0.22659018449485302, -0.06950036296620965, -0.17163177805196028, 0.15553924441337585, 0.2190877873217687, -0.0749731594696641, 0.05915846582502127, 0.2042625256581232, -0.11737535209977068, -0.14624968403950334, 0.2670951336622238, 0.20735759337549098, -0.2279193706344813, 0.07263250683899969, 0.15882497653365135, -0.22053859569132328, 0.04662206023931503, 0.28632367961108685, 0.014808212872594595, -0.2504630293697119, -0.0912707420065999, 0.13569259084761143, 0.3204279486089945, -0.09578018219326623, -0.11303533148020506, 0.2536938786506653, 0.3502952519338578, 0.07197457272559404, 0.004645950757549144, 0.11487305606715381, -0.07799569936469197, -0.2890484519302845, -0.17061996273696423, -0.12584724905900657, -0.0006620486965402961, -0.16546496882801875, -0.1799512687139213, 0.2237367406487465, 0.3046602476388216, -0.12247764987114351, 0.09796289773657918, 0.3204312901943922, -0.024962982046417892, -0.15612281039648224, -0.031996792764402926, 0.12766181770712137, -0.09510100702755153, 0.21497177705168724, -0.21667518722824752, 0.30572574958205223, 0.04087450262159109] |
708.0294 | The influence of device geometry on many-body effects in quantum point
contacts: Signatures of the 0.7 anomaly, exchange and Kondo | The conductance of a quantum point contact (QPC) shows several features that
result from many-body electron interactions. The spin degeneracy in zero
magnetic field appears to be spontaneously lifted due to the so-called 0.7
anomaly. Further, the g-factor for electrons in the QPC is enhanced, and a
zero-bias peak in the conductance points to similarities with transport through
a Kondo impurity. We report here how these many-body effects depend on QPC
geometry. We find a clear relation between the enhanced g-factor and the
subband spacing in our QPCs, and can relate this to the device geometry with
electrostatic modeling of the QPC potential. We also measured the zero-field
energy splitting related to the 0.7 anomaly, and studied how it evolves into a
splitting that is the sum of the Zeeman effect and a field-independent exchange
contribution when applying a magnetic field. While this exchange contribution
shows sample-to-sample fluctuations and no clear dependence on QPC geometry, it
is for all QPCs correlated with the zero-field splitting of the 0.7 anomaly.
This provides evidence that the splitting of the 0.7 anomaly is dominated by
this field-independent exchange splitting. Signatures of the Kondo effect also
show no regular dependence on QPC geometry, but are possibly correlated with
splitting of the 0.7 anomaly.
| cond-mat.mes-hall | the conductance of a quantum point contact qpc shows several features that result from manybody electron interactions the spin degeneracy in zero magnetic field appears to be spontaneously lifted due to the socalled 07 anomaly further the gfactor for electrons in the qpc is enhanced and a zerobias peak in the conductance points to similarities with transport through a kondo impurity we report here how these manybody effects depend on qpc geometry we find a clear relation between the enhanced gfactor and the subband spacing in our qpcs and can relate this to the device geometry with electrostatic modeling of the qpc potential we also measured the zerofield energy splitting related to the 07 anomaly and studied how it evolves into a splitting that is the sum of the zeeman effect and a fieldindependent exchange contribution when applying a magnetic field while this exchange contribution shows sampletosample fluctuations and no clear dependence on qpc geometry it is for all qpcs correlated with the zerofield splitting of the 07 anomaly this provides evidence that the splitting of the 07 anomaly is dominated by this fieldindependent exchange splitting signatures of the kondo effect also show no regular dependence on qpc geometry but are possibly correlated with splitting of the 07 anomaly | [['the', 'conductance', 'of', 'a', 'quantum', 'point', 'contact', 'qpc', 'shows', 'several', 'features', 'that', 'result', 'from', 'manybody', 'electron', 'interactions', 'the', 'spin', 'degeneracy', 'in', 'zero', 'magnetic', 'field', 'appears', 'to', 'be', 'spontaneously', 'lifted', 'due', 'to', 'the', 'socalled', '07', 'anomaly', 'further', 'the', 'gfactor', 'for', 'electrons', 'in', 'the', 'qpc', 'is', 'enhanced', 'and', 'a', 'zerobias', 'peak', 'in', 'the', 'conductance', 'points', 'to', 'similarities', 'with', 'transport', 'through', 'a', 'kondo', 'impurity', 'we', 'report', 'here', 'how', 'these', 'manybody', 'effects', 'depend', 'on', 'qpc', 'geometry', 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708.0295 | Reliability | This special volume of Statistical Sciences presents some innovative, if not
provocative, ideas in the area of reliability, or perhaps more appropriately
named, integrated system assessment. In this age of exponential growth in
science, engineering and technology, the capability to evaluate the
performance, reliability and safety of complex systems presents new challenges.
Today's methodology must respond to the ever-increasing demands for such
evaluations to provide key information for decision and policy makers at all
levels of government and industry--problems ranging from international security
to space exploration. We, the co-editors of this volume and the authors,
believe that scientific progress in reliability assessment requires the
development of processes, methods and tools that combine diverse information
types (e.g., experiments, computer simulations, expert knowledge) from diverse
sources (e.g., scientists, engineers, business developers, technology
integrators, decision makers) to assess quantitative performance metrics that
can aid decision making under uncertainty. These are highly interdisciplinary
problems. The principal role of statistical sciences is to bring statistical
rigor, thinking and methodology to these problems.
| stat.ME | this special volume of statistical sciences presents some innovative if not provocative ideas in the area of reliability or perhaps more appropriately named integrated system assessment in this age of exponential growth in science engineering and technology the capability to evaluate the performance reliability and safety of complex systems presents new challenges todays methodology must respond to the everincreasing demands for such evaluations to provide key information for decision and policy makers at all levels of government and industryproblems ranging from international security to space exploration we the coeditors of this volume and the authors believe that scientific progress in reliability assessment requires the development of processes methods and tools that combine diverse information types eg experiments computer simulations expert knowledge from diverse sources eg scientists engineers business developers technology integrators decision makers to assess quantitative performance metrics that can aid decision making under uncertainty these are highly interdisciplinary problems the principal role of statistical sciences is to bring statistical rigor thinking and methodology to these problems | [['this', 'special', 'volume', 'of', 'statistical', 'sciences', 'presents', 'some', 'innovative', 'if', 'not', 'provocative', 'ideas', 'in', 'the', 'area', 'of', 'reliability', 'or', 'perhaps', 'more', 'appropriately', 'named', 'integrated', 'system', 'assessment', 'in', 'this', 'age', 'of', 'exponential', 'growth', 'in', 'science', 'engineering', 'and', 'technology', 'the', 'capability', 'to', 'evaluate', 'the', 'performance', 'reliability', 'and', 'safety', 'of', 'complex', 'systems', 'presents', 'new', 'challenges', 'todays', 'methodology', 'must', 'respond', 'to', 'the', 'everincreasing', 'demands', 'for', 'such', 'evaluations', 'to', 'provide', 'key', 'information', 'for', 'decision', 'and', 'policy', 'makers', 'at', 'all', 'levels', 'of', 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708.0296 | Quantum Ergodicity for products of hyperbolic planes | For manifolds with geodesic flow that is ergodic on the unit tangent bundle,
the quantum ergodicity theorem implies that almost all Laplacian eigenfunctions
become equidistributed as the eigenvalue goes to infinity. For a locally
symmetric space with a universal cover that is a product of several upper half
planes, the geodesic flow has constants of motion so it can not be ergodic. It
is, however, ergodic when restricted to the submanifolds defined by these
constants. In accordance, we show that almost all eigenfunctions become
equidistributed on these submanifolds.
| math-ph math.MP | for manifolds with geodesic flow that is ergodic on the unit tangent bundle the quantum ergodicity theorem implies that almost all laplacian eigenfunctions become equidistributed as the eigenvalue goes to infinity for a locally symmetric space with a universal cover that is a product of several upper half planes the geodesic flow has constants of motion so it can not be ergodic it is however ergodic when restricted to the submanifolds defined by these constants in accordance we show that almost all eigenfunctions become equidistributed on these submanifolds | [['for', 'manifolds', 'with', 'geodesic', 'flow', 'that', 'is', 'ergodic', 'on', 'the', 'unit', 'tangent', 'bundle', 'the', 'quantum', 'ergodicity', 'theorem', 'implies', 'that', 'almost', 'all', 'laplacian', 'eigenfunctions', 'become', 'equidistributed', 'as', 'the', 'eigenvalue', 'goes', 'to', 'infinity', 'for', 'a', 'locally', 'symmetric', 'space', 'with', 'a', 'universal', 'cover', 'that', 'is', 'a', 'product', 'of', 'several', 'upper', 'half', 'planes', 'the', 'geodesic', 'flow', 'has', 'constants', 'of', 'motion', 'so', 'it', 'can', 'not', 'be', 'ergodic', 'it', 'is', 'however', 'ergodic', 'when', 'restricted', 'to', 'the', 'submanifolds', 'defined', 'by', 'these', 'constants', 'in', 'accordance', 'we', 'show', 'that', 'almost', 'all', 'eigenfunctions', 'become', 'equidistributed', 'on', 'these', 'submanifolds']] | [-0.19626532602970573, 0.1740178453566676, -0.08398454950127582, 0.08826899847454941, -0.06986232797498815, -0.14647687550909308, -0.016729398728454147, 0.37925647778055543, -0.286572661139706, -0.128411294024607, 0.17337548319880047, -0.32049423082604667, -0.1336615853360854, 0.22895849007181823, -0.11439878262833438, 0.10782743330028924, 0.11714447260072286, 0.1471339215746742, -0.05595122737048024, -0.25359523631976283, 0.37072974610650405, -0.016133683107909746, 0.2548039075495167, 0.06160352974918417, 0.10743083004821198, -0.010144897995897654, 0.04720512344184416, 0.035978581646221836, -0.16022622458463462, 0.09329427226277237, 0.2500152666206387, 0.057333029859529976, 0.2231625994371081, -0.3378267197298225, -0.1864900408439677, 0.19844146384010938, 0.20910306388131258, -0.01733243780803274, 0.024891170564594424, -0.25865149070424115, 0.1068850237537514, -0.07123588095948269, -0.16240717424608936, -0.10587488278873604, 0.030486530317416924, 0.024096029039355926, -0.189926863478666, 0.03505640908737074, 0.1548463970592076, 0.06188269235446404, -0.06798004829959775, -0.07476095315492289, -0.0597885535733605, 0.12803100750005053, 0.09732233771302906, 0.04978258631043983, 0.12564370006492193, 0.03716527994468131, -0.07286404948469928, 0.3987576569515196, -0.08319422111063349, -0.31568416716022923, 0.10714380877801556, -0.1902237189245749, -0.1475198115116324, 0.16598527719774706, 0.11053004221387462, 0.11853962592166764, -0.08721083545325117, 0.18432142191820525, -0.10931029883001676, 0.07759792907348707, 0.11027442905205218, 0.024506285397695716, 0.1460396595205318, 0.03927503013454208, 0.22985406117302112, 0.08799584657985675, -0.002991967628159645, -0.15124499729030172, -0.3168607306751338, -0.22235447864725508, -0.21441191164988346, 0.17122565474726964, -0.12514194987968288, -0.23462342386218635, 0.32750083484411746, 0.04683355294929987, 0.22256842322266576, 0.1487631055166606, 0.23630199757065962, 0.11019472062286116, 0.07253102805804122, 0.17719291991406036, 0.22887038758066905, 0.19274054063663987, 0.024677251317453654, -0.10938377864129673, -0.006945294402116401, 0.16775085394725797] |
708.0297 | Partition test and sexual motivation in male mice | Theoretical analysis of own and literature investigations of sexual
motivation with the use of the partition test [Kudryavtseva, 1987, 1994] in
male mice was carried out. It has been shown that appearance of a receptive
female in the neighboring compartment of common cage separated by perforated
transparent partition produces the enhancement of testosterone level in blood
and stimulates the behavioral activity near partition as a reaction to the
receptive female in naive males. In many studies this behavioral activity is
considered as sexual motivation, arising in this experimental context in male
mice. The lack of correlation between behavioral parameters and gonad reaction
of males on receptive female, uninterconnected changes of these two parameters
as well as the lack of sexual behavior between naive male and female when
partition is removed cast doubt on this data interpretation. It has been
supposed that in naive males behavioral reaction to a receptive female is
induced by positive incentive - odor of the female associated with nursing and
warmth from mother and other females which look after posterity. Short-term
increase of the level of testosterone (possessing rewarding properties) is
innate stimulus-response reaction which stimulates and prolongs behavioral
interest of male to receptive female. It has been supposed that after sexual
experience female odor is associated in experienced males with sexual behavior
directed to the sexual partner and resulted in the formation of sexual
motivation. The data are considered also in the light of the theory of
motivated behavior including "liking", "wanting" and "learning" [Robinson and
Berridge, 1993, 2000].
| q-bio.OT | theoretical analysis of own and literature investigations of sexual motivation with the use of the partition test kudryavtseva 1987 1994 in male mice was carried out it has been shown that appearance of a receptive female in the neighboring compartment of common cage separated by perforated transparent partition produces the enhancement of testosterone level in blood and stimulates the behavioral activity near partition as a reaction to the receptive female in naive males in many studies this behavioral activity is considered as sexual motivation arising in this experimental context in male mice the lack of correlation between behavioral parameters and gonad reaction of males on receptive female uninterconnected changes of these two parameters as well as the lack of sexual behavior between naive male and female when partition is removed cast doubt on this data interpretation it has been supposed that in naive males behavioral reaction to a receptive female is induced by positive incentive odor of the female associated with nursing and warmth from mother and other females which look after posterity shortterm increase of the level of testosterone possessing rewarding properties is innate stimulusresponse reaction which stimulates and prolongs behavioral interest of male to receptive female it has been supposed that after sexual experience female odor is associated in experienced males with sexual behavior directed to the sexual partner and resulted in the formation of sexual motivation the data are considered also in the light of the theory of motivated behavior including liking wanting and learning robinson and berridge 1993 2000 | [['theoretical', 'analysis', 'of', 'own', 'and', 'literature', 'investigations', 'of', 'sexual', 'motivation', 'with', 'the', 'use', 'of', 'the', 'partition', 'test', 'kudryavtseva', '1987', '1994', 'in', 'male', 'mice', 'was', 'carried', 'out', 'it', 'has', 'been', 'shown', 'that', 'appearance', 'of', 'a', 'receptive', 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708.0298 | First polarimetric observations and modeling of the FeH F^4 Delta-X^4
Delta system | Lines of diatomic molecules are more temperature and pressure sensitive than
atomic lines, which makes them ideal tools for studying cool stellar
atmospheres an internal structure of sunspots and starspots. The FeH F^4
Delta-X^4 Delta system represents such an example that exhibits in addition a
large magnetic field sensitivity. The current theoretical descriptions of these
transitions including the molecular constants involved are only based on
intensity measurements because polarimetric observations have not been
available so far, which limits their diagnostic value. We present for the first
time spectropolarimetric observations of the FeH F^4 Delta-X^4 Delta system
measured in sunspots to investigate their diagnostic capabilities for probing
solar and stellar magnetic fields. We investigate whether the current
theoretical model of FeH can reproduce the observed Stokes profiles including
their magnetic properties. The polarimetric observations are compared with
synthetic Stokes profiles modeled with radiative transfer calculations. This
allows us to infer the temperature and the magnetic field strength of the
observed sunspots. We find that the current theory successfully reproduces the
magnetic properties of a large number of lines in the FeH F^4 Delta-X^4 Delta
system. In a few cases the observations indicate a larger Zeeman splitting than
predicted by the theory. There, our observations have provided additional
constraints, which allowed us to determine empirical molecular constants. The
FeH F^4 Delta-X^4 Delta system is found to be a very sensitive magnetic
diagnostic tool. Polarimetric data of these lines provide us with more direct
information to study the coolest parts of astrophysical objects.
| astro-ph | lines of diatomic molecules are more temperature and pressure sensitive than atomic lines which makes them ideal tools for studying cool stellar atmospheres an internal structure of sunspots and starspots the feh f4 deltax4 delta system represents such an example that exhibits in addition a large magnetic field sensitivity the current theoretical descriptions of these transitions including the molecular constants involved are only based on intensity measurements because polarimetric observations have not been available so far which limits their diagnostic value we present for the first time spectropolarimetric observations of the feh f4 deltax4 delta system measured in sunspots to investigate their diagnostic capabilities for probing solar and stellar magnetic fields we investigate whether the current theoretical model of feh can reproduce the observed stokes profiles including their magnetic properties the polarimetric observations are compared with synthetic stokes profiles modeled with radiative transfer calculations this allows us to infer the temperature and the magnetic field strength of the observed sunspots we find that the current theory successfully reproduces the magnetic properties of a large number of lines in the feh f4 deltax4 delta system in a few cases the observations indicate a larger zeeman splitting than predicted by the theory there our observations have provided additional constraints which allowed us to determine empirical molecular constants the feh f4 deltax4 delta system is found to be a very sensitive magnetic diagnostic tool polarimetric data of these lines provide us with more direct information to study the coolest parts of astrophysical objects | [['lines', 'of', 'diatomic', 'molecules', 'are', 'more', 'temperature', 'and', 'pressure', 'sensitive', 'than', 'atomic', 'lines', 'which', 'makes', 'them', 'ideal', 'tools', 'for', 'studying', 'cool', 'stellar', 'atmospheres', 'an', 'internal', 'structure', 'of', 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708.0299 | Spectral properties of quarks above T_c in quenched lattice QCD | We analyze the quark spectral function above the critical temperature for
deconfinement in quenched lattice QCD using clover improved Wilson fermions in
Landau gauge. We show that the temporal quark correlator is well reproduced by
a two-pole approximation for the spectral function and analyze the bare quark
mass dependence of both poles as well as their residues. In the chiral limit we
find that the quark spectral function has two collective modes which correspond
to the normal and plasmino excitations. At large values of the bare quark mass
the spectral function is dominated by a single pole.
| hep-lat hep-ph | we analyze the quark spectral function above the critical temperature for deconfinement in quenched lattice qcd using clover improved wilson fermions in landau gauge we show that the temporal quark correlator is well reproduced by a twopole approximation for the spectral function and analyze the bare quark mass dependence of both poles as well as their residues in the chiral limit we find that the quark spectral function has two collective modes which correspond to the normal and plasmino excitations at large values of the bare quark mass the spectral function is dominated by a single pole | [['we', 'analyze', 'the', 'quark', 'spectral', 'function', 'above', 'the', 'critical', 'temperature', 'for', 'deconfinement', 'in', 'quenched', 'lattice', 'qcd', 'using', 'clover', 'improved', 'wilson', 'fermions', 'in', 'landau', 'gauge', 'we', 'show', 'that', 'the', 'temporal', 'quark', 'correlator', 'is', 'well', 'reproduced', 'by', 'a', 'twopole', 'approximation', 'for', 'the', 'spectral', 'function', 'and', 'analyze', 'the', 'bare', 'quark', 'mass', 'dependence', 'of', 'both', 'poles', 'as', 'well', 'as', 'their', 'residues', 'in', 'the', 'chiral', 'limit', 'we', 'find', 'that', 'the', 'quark', 'spectral', 'function', 'has', 'two', 'collective', 'modes', 'which', 'correspond', 'to', 'the', 'normal', 'and', 'plasmino', 'excitations', 'at', 'large', 'values', 'of', 'the', 'bare', 'quark', 'mass', 'the', 'spectral', 'function', 'is', 'dominated', 'by', 'a', 'single', 'pole']] | [-0.08469034380941969, 0.26504519708051355, -0.1200861967668014, 0.1469430660123255, -0.014079185193116517, -0.06273703061082621, 0.09644945776186038, 0.3787004703982282, -0.14458828158292575, -0.25050397689655884, 0.011107897173151849, -0.27105593005406486, -0.0710624316947285, 0.06526829851503224, 0.06640405762345367, 0.08943140705385529, -0.0006011900079158164, 0.050252064817690664, -0.1384848139534426, -0.166006045252776, 0.37484887507312076, -0.01718110507162115, 0.23150086186384572, 0.18222289699485006, 0.04284442942493509, 0.0412625862074267, 0.005680387858877477, -0.05598878156220943, -0.08505849297396652, -0.02828386836426006, 0.1705575713752193, -0.03456228083364435, 0.13176743026592375, -0.31684704718285617, -0.18543344814949622, 0.05678191414275735, 0.18478124850362385, 0.08103421211276281, 0.010957488593328553, -0.23509257208056672, 0.08321378827479083, -0.199248058971056, -0.20504790192623576, -0.12335385242957123, -0.04941772060593609, -0.010238920655293563, -0.3086798028233125, 0.11787699355945452, -0.0476396761945036, 0.04223905139861955, -0.01548032129193013, -0.23024358738636233, -0.09101421191577905, 0.10425038520995643, 0.09662548948881053, 0.0892890003490617, 0.15868113069529838, -0.2094997816872735, -0.10013822249866561, 0.3928774683400221, -0.1545319702361048, -0.16212272846629633, 0.144180510538755, -0.22090192077700624, -0.10141973648719567, 0.11808942236177583, 0.1194864075142439, 0.09563169471881132, -0.16644548281988839, 0.12103484017827269, -0.06015962000321789, 0.17187646043741325, 0.12379683260373849, 0.05924632972989654, 0.27652565147919755, 0.1705466204433289, -0.011381664198160786, 0.11602658451506004, -0.07709134963446672, -0.10170576672943443, -0.32684948754295245, -0.06352914170933331, -0.2252891865731745, 0.013555363819156726, -0.1501574765734216, -0.20444981316008518, 0.449555227321755, 0.08830820074900217, 0.24687459043313548, 0.0361108723943861, 0.26213591991798935, 0.20581187494939251, 0.11987175049077835, 0.08685712002640225, 0.2659859924922822, 0.18154317101694106, 0.14072291631750838, -0.35093241481628923, -0.09782483670668504, 0.12482786313006558] |
708.03 | Asymptotic behavior of flat surfaces in hyperbolic 3-space | In this paper, we investigate the asymptotic behavior of regular ends of flat
surfaces in the hyperbolic 3-space H^3. Galvez, Martinez and Milan showed that
when the singular set does not accumulate at an end, the end is asymptotic to a
rotationally symmetric flat surface. As a refinement of their result, we show
that the asymptotic order (called "pitch" p) of the end determines the limiting
shape, even when the singular set does accumulate at the end. If the singular
set is bounded away from the end, we have -1<p<=0. If the singular set
accumulates at the end, the pitch p is a positive rational number not equal to
1. Choosing appropriate positive integers n and m so that p=n/m, suitable
slices of the end by horospheres are asymptotic to d-coverings (d-times wrapped
coverings) of epicycloids or d-coverings of hypocycloids with 2n_0 cusps and
whose normal directions have winding number m_0, where n=n_0d, m=m_0d (n_0, m_0
are integers or half-integers) and d is the greatest common divisor of m-n and
m+n. Furthermore, it is known that the caustics of flat surfaces are also flat.
So, as an application, we give a useful explicit formula for the pitch of ends
of caustics of complete flat fronts.
| math.DG | in this paper we investigate the asymptotic behavior of regular ends of flat surfaces in the hyperbolic 3space h3 galvez martinez and milan showed that when the singular set does not accumulate at an end the end is asymptotic to a rotationally symmetric flat surface as a refinement of their result we show that the asymptotic order called pitch p of the end determines the limiting shape even when the singular set does accumulate at the end if the singular set is bounded away from the end we have 1p0 if the singular set accumulates at the end the pitch p is a positive rational number not equal to 1 choosing appropriate positive integers n and m so that pnm suitable slices of the end by horospheres are asymptotic to dcoverings dtimes wrapped coverings of epicycloids or dcoverings of hypocycloids with 2n_0 cusps and whose normal directions have winding number m_0 where nn_0d mm_0d n_0 m_0 are integers or halfintegers and d is the greatest common divisor of mn and mn furthermore it is known that the caustics of flat surfaces are also flat so as an application we give a useful explicit formula for the pitch of ends of caustics of complete flat fronts | [['in', 'this', 'paper', 'we', 'investigate', 'the', 'asymptotic', 'behavior', 'of', 'regular', 'ends', 'of', 'flat', 'surfaces', 'in', 'the', 'hyperbolic', '3space', 'h3', 'galvez', 'martinez', 'and', 'milan', 'showed', 'that', 'when', 'the', 'singular', 'set', 'does', 'not', 'accumulate', 'at', 'an', 'end', 'the', 'end', 'is', 'asymptotic', 'to', 'a', 'rotationally', 'symmetric', 'flat', 'surface', 'as', 'a', 'refinement', 'of', 'their', 'result', 'we', 'show', 'that', 'the', 'asymptotic', 'order', 'called', 'pitch', 'p', 'of', 'the', 'end', 'determines', 'the', 'limiting', 'shape', 'even', 'when', 'the', 'singular', 'set', 'does', 'accumulate', 'at', 'the', 'end', 'if', 'the', 'singular', 'set', 'is', 'bounded', 'away', 'from', 'the', 'end', 'we', 'have', '1p0', 'if', 'the', 'singular', 'set', 'accumulates', 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708.0301 | Fast recognition of single molecules based on single event photon
statistics | Mandel Q-parameter, which is determined from single event photon statistics,
provides an alternative to differentiate single-molecule with fluorescence
detection. In this work, by using the Q-parameter of the sample fluorescence
compared to that of an ideal double-molecule system with the same average
photon number, we present a novel and fast approach for identifying single
molecules based on single event photon statistics analyses, compared with
commonly used two-time correlation measurements. The error estimates for
critical values of photon statistics are also presented for single-molecule
determination.
| quant-ph | mandel qparameter which is determined from single event photon statistics provides an alternative to differentiate singlemolecule with fluorescence detection in this work by using the qparameter of the sample fluorescence compared to that of an ideal doublemolecule system with the same average photon number we present a novel and fast approach for identifying single molecules based on single event photon statistics analyses compared with commonly used twotime correlation measurements the error estimates for critical values of photon statistics are also presented for singlemolecule determination | [['mandel', 'qparameter', 'which', 'is', 'determined', 'from', 'single', 'event', 'photon', 'statistics', 'provides', 'an', 'alternative', 'to', 'differentiate', 'singlemolecule', 'with', 'fluorescence', 'detection', 'in', 'this', 'work', 'by', 'using', 'the', 'qparameter', 'of', 'the', 'sample', 'fluorescence', 'compared', 'to', 'that', 'of', 'an', 'ideal', 'doublemolecule', 'system', 'with', 'the', 'same', 'average', 'photon', 'number', 'we', 'present', 'a', 'novel', 'and', 'fast', 'approach', 'for', 'identifying', 'single', 'molecules', 'based', 'on', 'single', 'event', 'photon', 'statistics', 'analyses', 'compared', 'with', 'commonly', 'used', 'twotime', 'correlation', 'measurements', 'the', 'error', 'estimates', 'for', 'critical', 'values', 'of', 'photon', 'statistics', 'are', 'also', 'presented', 'for', 'singlemolecule', 'determination']] | [-0.03430142654779266, 0.08525184683637772, -0.09940743982702134, 0.06360331282625536, 0.007659780299178807, -0.1542654332244791, 0.047283430199464224, 0.35757523512535067, -0.1811100529052362, -0.35904967771416685, -0.002057271550903209, -0.3292290486215827, -0.05482809912099178, 0.2954423719994634, -0.014277671037398907, 0.12490681385364052, 0.07882245584581811, 0.03532316749186132, -0.028072723052857153, -0.15694234455116543, 0.26877876761908004, 0.1255624821319817, 0.33664494951491253, 0.015043342575789934, 0.12342256679008883, 0.08389329381500292, -0.05154758262032845, -0.012545540391647044, -0.1606156945160025, 0.12355765555592546, 0.2163421111041119, 0.09085654713639832, 0.21705217906330004, -0.3667631906239668, -0.18133617999840035, 0.1069192273811583, 0.18728816692706152, 0.11370062659261748, -0.05857025517335902, -0.2848918454115649, 0.03076491932418332, -0.14801331119140587, -0.06936189613630434, -0.07686369214206934, -0.016648758247674228, 0.06584003738251078, -0.30254312737070654, 0.1409810202624733, -0.045476817424936464, 0.08257269732519446, 0.00891526355913066, -0.08975240684546396, 0.04460743646395494, 0.11131087494789656, -0.0011816522392657507, 0.016913628463734346, 0.19989058153187655, -0.13843787736147192, -0.17596464535061562, 0.3120284691812044, -0.09221934134151831, -0.1880172358398713, 0.14557992543811987, -0.16270777544410653, -0.13859622379490005, 0.17611474423467305, 0.11137199873127133, 0.13298348333484616, -0.1892558664128364, -0.052602194808563776, 0.010646093199141773, 0.21862166018662862, 0.03301633586433817, 0.07805886714865105, 0.18634092174919256, 0.16768634526889367, 0.00650801900662033, 0.15170308296759444, -0.19934083695007287, -0.040183353533755135, -0.2899906871144671, -0.16005675096053584, -0.26660988446190415, 0.033044151243675185, -0.07327648352937498, -0.15789832812116808, 0.3730298197233533, 0.1732013129393559, 0.1866610857001674, 0.047514036344083764, 0.31738176432168896, 0.16758652847030212, 0.03697526088006884, -0.008198840403368315, 0.26381206317210054, 0.10914838562315576, 0.0575959449129022, -0.23711734861191586, 0.06615385375580335, 0.017265176501529044] |
708.0302 | Monitoring Networked Applications With Incremental Quantile Estimation | Networked applications have software components that reside on different
computers. Email, for example, has database, processing, and user interface
components that can be distributed across a network and shared by users in
different locations or work groups. End-to-end performance and reliability
metrics describe the software quality experienced by these groups of users,
taking into account all the software components in the pipeline. Each user
produces only some of the data needed to understand the quality of the
application for the group, so group performance metrics are obtained by
combining summary statistics that each end computer periodically (and
automatically) sends to a central server. The group quality metrics usually
focus on medians and tail quantiles rather than on averages. Distributed
quantile estimation is challenging, though, especially when passing large
amounts of data around the network solely to compute quality metrics is
undesirable. This paper describes an Incremental Quantile (IQ) estimation
method that is designed for performance monitoring at arbitrary levels of
network aggregation and time resolution when only a limited amount of data can
be transferred. Applications to both real and simulated data are provided.
| stat.ME | networked applications have software components that reside on different computers email for example has database processing and user interface components that can be distributed across a network and shared by users in different locations or work groups endtoend performance and reliability metrics describe the software quality experienced by these groups of users taking into account all the software components in the pipeline each user produces only some of the data needed to understand the quality of the application for the group so group performance metrics are obtained by combining summary statistics that each end computer periodically and automatically sends to a central server the group quality metrics usually focus on medians and tail quantiles rather than on averages distributed quantile estimation is challenging though especially when passing large amounts of data around the network solely to compute quality metrics is undesirable this paper describes an incremental quantile iq estimation method that is designed for performance monitoring at arbitrary levels of network aggregation and time resolution when only a limited amount of data can be transferred applications to both real and simulated data are provided | [['networked', 'applications', 'have', 'software', 'components', 'that', 'reside', 'on', 'different', 'computers', 'email', 'for', 'example', 'has', 'database', 'processing', 'and', 'user', 'interface', 'components', 'that', 'can', 'be', 'distributed', 'across', 'a', 'network', 'and', 'shared', 'by', 'users', 'in', 'different', 'locations', 'or', 'work', 'groups', 'endtoend', 'performance', 'and', 'reliability', 'metrics', 'describe', 'the', 'software', 'quality', 'experienced', 'by', 'these', 'groups', 'of', 'users', 'taking', 'into', 'account', 'all', 'the', 'software', 'components', 'in', 'the', 'pipeline', 'each', 'user', 'produces', 'only', 'some', 'of', 'the', 'data', 'needed', 'to', 'understand', 'the', 'quality', 'of', 'the', 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708.0303 | Adiabatically switched-on electrical bias in continuous systems, and the
Landauer-Buttiker formula | Consider a three dimensional system which looks like a cross-connected pipe
system, i.e. a small sample coupled to a finite number of leads. We investigate
the current running through this system, in the linear response regime, when we
adiabatically turn on an electrical bias between leads. The main technical tool
is the use of a finite volume regularization, which allows us to define the
current coming out of a lead as the time derivative of its charge. We finally
prove that in virtually all physically interesting situations, the conductivity
tensor is given by a Landauer-B{\"u}ttiker type formula.
| cond-mat.mes-hall cond-mat.stat-mech math-ph math.MP | consider a three dimensional system which looks like a crossconnected pipe system ie a small sample coupled to a finite number of leads we investigate the current running through this system in the linear response regime when we adiabatically turn on an electrical bias between leads the main technical tool is the use of a finite volume regularization which allows us to define the current coming out of a lead as the time derivative of its charge we finally prove that in virtually all physically interesting situations the conductivity tensor is given by a landauerbuttiker type formula | [['consider', 'a', 'three', 'dimensional', 'system', 'which', 'looks', 'like', 'a', 'crossconnected', 'pipe', 'system', 'ie', 'a', 'small', 'sample', 'coupled', 'to', 'a', 'finite', 'number', 'of', 'leads', 'we', 'investigate', 'the', 'current', 'running', 'through', 'this', 'system', 'in', 'the', 'linear', 'response', 'regime', 'when', 'we', 'adiabatically', 'turn', 'on', 'an', 'electrical', 'bias', 'between', 'leads', 'the', 'main', 'technical', 'tool', 'is', 'the', 'use', 'of', 'a', 'finite', 'volume', 'regularization', 'which', 'allows', 'us', 'to', 'define', 'the', 'current', 'coming', 'out', 'of', 'a', 'lead', 'as', 'the', 'time', 'derivative', 'of', 'its', 'charge', 'we', 'finally', 'prove', 'that', 'in', 'virtually', 'all', 'physically', 'interesting', 'situations', 'the', 'conductivity', 'tensor', 'is', 'given', 'by', 'a', 'landauerbuttiker', 'type', 'formula']] | [-0.16059095438416163, 0.10775979347758058, -0.10118970743826945, 0.010106452665118905, -0.06944551774973924, -0.13821741154167763, 0.055597353978658615, 0.3054889264353311, -0.27721132333246395, -0.2557929223307322, 0.09996789506847788, -0.24783524515640745, -0.14124201090295904, 0.2156877217948744, -0.06109108088523649, -0.0005826864868028032, 0.03476879766604565, 0.06024598736632807, -0.06097341094888536, -0.21271934773360102, 0.33243281810938086, 0.008202950018890126, 0.2804422655656511, 0.050766398218105135, 0.11743382352989973, 0.011667960493815775, -0.01628324282883676, 0.07661614572802156, -0.10908014079852608, 0.07852364286597933, 0.22702124684127337, 0.046560519770959145, 0.29363593100042074, -0.42426402128465684, -0.1771606622436612, 0.10399996777804396, 0.09680159034965963, 0.13786151088995033, -0.018868854712243623, -0.20893283514786012, 0.05872294523503593, -0.2175968608521309, -0.1573322762485555, -0.08354858630672865, -0.0034267881587531765, -0.011293978958400255, -0.26469618450735033, 0.05573866375693187, 0.05185000127968714, -0.008923870396137852, -0.031900388296074285, -0.07133158903026511, 0.02137343092946355, 0.12138191483267967, 0.03746026399012502, 0.010056647894539169, 0.12895415833258292, -0.12044960366222664, -0.05535081960380884, 0.373635585832688, -0.07732517735074879, -0.2098411060773681, 0.1917783660290897, -0.14236356085166335, -0.07909058953380961, 0.10345143107696993, 0.15295407363242403, 0.1140524872468266, -0.16021321149205084, 0.11719346968169064, -0.046275111481777785, 0.16351865711333902, 0.0339224603526371, 0.014980930268534065, 0.2141999788294287, 0.17155807063742012, 0.11444034617149376, 0.22059893384803875, -0.07249890809120207, -0.06535704457921158, -0.33386011493689927, -0.1811369487766138, -0.1459305076151798, 0.10885745092035876, -0.08693823646873292, -0.20933493305496947, 0.42205045011240183, 0.16053708165238334, 0.2146925365116649, 0.049869466431381314, 0.2845419600255519, 0.15527556522163688, 0.06641295048667445, 0.03742480888175442, 0.18977936630655734, 0.13283435711589134, 0.10449042441995487, -0.24794151028138153, 0.03161123887510951, 0.06762701743426397] |
708.0304 | Improved measurement of time-dependent CP violation in B0 -> J/Psi pi0
decays | We report improved measurements of time-dependent CP violation parameters for
$B^0(\bar{B}^0) \to J/\psi \pi^0$ decay. This analysis is based on 535 million
$B\bar{B}$ pairs accumulated at the $\Upsilon(4S)$ resonance with the Belle
detector at the KEKB asymmetric-energy e^+e^- collider. From the distribution
of proper time intervals between the two B decays, we obtain the following CP
violation parameters $\mathcal{S}_{J/\psi \pi^0} = -0.65\pm0.21
(\rm{stat})\pm0.05 (\rm{syst})$ and $\mathcal{A}_{J/\psi \pi^0} = +0.08\pm0.16
(\rm{stat})\pm0.05 (\rm{syst})$, which are consistent with Standard Model
expectations.
| hep-ex | we report improved measurements of timedependent cp violation parameters for b0barb0 to jpsi pi0 decay this analysis is based on 535 million bbarb pairs accumulated at the upsilon4s resonance with the belle detector at the kekb asymmetricenergy ee collider from the distribution of proper time intervals between the two b decays we obtain the following cp violation parameters mathcals_jpsi pi0 065pm021 rmstatpm005 rmsyst and mathcala_jpsi pi0 008pm016 rmstatpm005 rmsyst which are consistent with standard model expectations | [['we', 'report', 'improved', 'measurements', 'of', 'timedependent', 'cp', 'violation', 'parameters', 'for', 'b0barb0', 'to', 'jpsi', 'pi0', 'decay', 'this', 'analysis', 'is', 'based', 'on', '535', 'million', 'bbarb', 'pairs', 'accumulated', 'at', 'the', 'upsilon4s', 'resonance', 'with', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'asymmetricenergy', 'ee', 'collider', 'from', 'the', 'distribution', 'of', 'proper', 'time', 'intervals', 'between', 'the', 'two', 'b', 'decays', 'we', 'obtain', 'the', 'following', 'cp', 'violation', 'parameters', 'mathcals_jpsi', 'pi0', '065pm021', 'rmstatpm005', 'rmsyst', 'and', 'mathcala_jpsi', 'pi0', '008pm016', 'rmstatpm005', 'rmsyst', 'which', 'are', 'consistent', 'with', 'standard', 'model', 'expectations']] | [-0.09242939096210258, 0.1918308861221054, -0.10122472707714353, 0.06647405917756259, -0.08556913741465126, -0.15429611172127936, 0.11758849770662241, 0.27000556997954844, -0.12889091458304652, -0.25549013407102655, -0.08329369888441371, -0.4882314646483532, 0.10570765483592237, 0.1658157793272819, 0.12788413861500367, 0.18381994540437258, 0.18117141923201935, -0.014667049984979842, -0.09835709953414543, -0.15785255236551166, 0.18517320089906986, 0.0486410794247474, 0.27284351089037956, 0.05852841899863311, 0.00432241269653397, 0.0028617593060646738, -0.02632923512054341, -0.10820013236786638, -0.17799361327530017, 0.013749408856632986, 0.21696022114317332, 0.1567469150825803, 0.08554146385618619, -0.32214438496157527, 0.03799356010609439, 0.2325550557180707, 0.12485605768992432, -0.00021731548310656632, -0.03375742847898177, -0.47084935892905505, 0.17596844781988433, -0.18761319456222866, 0.0038865350585963044, -0.015760156587098857, 0.027698776624830706, -0.12745027653872967, -0.4332813577194299, 0.15319450230204634, -0.13318931723811797, 0.12156957594145622, 0.009197639002065574, -0.2750170272508902, 0.026377626002899238, -0.07017610961172198, 0.09357728549179488, 0.08796565784141422, 0.20377135332008559, -0.029145889885590543, -0.2324052800424397, 0.34039119386247224, -0.0806359013486404, -0.09975129862848137, 0.12858238796636995, -0.3100304676020252, -0.1371179087087512, 0.20588355369067618, 0.2631702557455615, -0.003446492605975696, -0.26831633851730397, 0.11686767412798613, -0.03291074121370911, 0.18909024497760193, 0.11109724673442542, 0.10939953127776139, 0.17070961700020623, 0.21628897901890534, 0.03333199501835874, 0.02294475947273895, -0.15137675861229322, -0.03213874902576208, -0.482502212431947, -0.101487364087786, -0.032872134320704, 0.09853075375680678, -0.005749021044591375, -0.028018761386296578, 0.3826828271150589, 0.05512359046842903, 0.3724090661986598, 0.0120497501205786, 0.308729418466932, 0.0901421594815994, -0.005593870178147752, 0.07972731892015353, 0.33061376232653855, 0.14337529560018863, 0.1613649238765772, -0.37032834498012174, 0.04932817557294454, -0.019955617648416333] |
708.0305 | Quantization of Atomic and Nuclear Rest Masses | We were able to quantize phenomenologically the first time the atomic and
nuclear rest masses. Note that this quantization rule is justified for atoms
and nuclei with different A, N and Z and the nuclei and atoms represent a
coherent synchronized systems -- a complex of coupled oscillators (resonators).
The cooperative resonance synchronization mechanisms are responsible for
explanation of how the electron volt world can influence the nuclear mega
electron volt world. It means that we created new possibilities for inducing
and controlling nuclear reactions by atomic processes.
| physics.gen-ph nucl-th | we were able to quantize phenomenologically the first time the atomic and nuclear rest masses note that this quantization rule is justified for atoms and nuclei with different a n and z and the nuclei and atoms represent a coherent synchronized systems a complex of coupled oscillators resonators the cooperative resonance synchronization mechanisms are responsible for explanation of how the electron volt world can influence the nuclear mega electron volt world it means that we created new possibilities for inducing and controlling nuclear reactions by atomic processes | [['we', 'were', 'able', 'to', 'quantize', 'phenomenologically', 'the', 'first', 'time', 'the', 'atomic', 'and', 'nuclear', 'rest', 'masses', 'note', 'that', 'this', 'quantization', 'rule', 'is', 'justified', 'for', 'atoms', 'and', 'nuclei', 'with', 'different', 'a', 'n', 'and', 'z', 'and', 'the', 'nuclei', 'and', 'atoms', 'represent', 'a', 'coherent', 'synchronized', 'systems', 'a', 'complex', 'of', 'coupled', 'oscillators', 'resonators', 'the', 'cooperative', 'resonance', 'synchronization', 'mechanisms', 'are', 'responsible', 'for', 'explanation', 'of', 'how', 'the', 'electron', 'volt', 'world', 'can', 'influence', 'the', 'nuclear', 'mega', 'electron', 'volt', 'world', 'it', 'means', 'that', 'we', 'created', 'new', 'possibilities', 'for', 'inducing', 'and', 'controlling', 'nuclear', 'reactions', 'by', 'atomic', 'processes']] | [-0.10836527127158378, 0.2615369262452098, -0.029936748816385524, 0.10110586658976543, -0.0019598075499137244, -0.17415699112796407, 0.08034844161011279, 0.38612850876418, -0.23115425700343203, -0.27899230907446354, -0.008610850724595031, -0.271627022445887, -0.10562463185814178, 0.17756382708341398, 0.04554812933971313, -0.0008258679346449074, 0.017788606908589858, -0.016140042547265004, -0.0027421963208451353, -0.18381060929647808, 0.3073509489560778, 0.09209448334643211, 0.23209021984460368, 0.046887177818765245, 0.14070510752927298, -0.01574144998950691, 0.032185690105496635, -0.029788258474791187, -0.08731268565307623, 0.13214909811450662, 0.2761565309296223, 0.07230769610032439, 0.22811684012413025, -0.48998366987825126, -0.1832565326329278, 0.11823212961270206, 0.17231205937047167, 0.16040781127481624, -0.08290217984360697, -0.2665517909302451, 0.02466140154899023, -0.18344733190733467, -0.1411480986534607, -0.12084927371885071, 0.0460714030309698, 0.05540789929272114, -0.2643925876667102, 0.0442209138920338, 0.04008050386301488, 0.029635582175426955, -0.10667339753595063, -0.07978711949511506, 0.04133285618729718, 0.10872606742838077, -0.008001498762924952, -0.014403250319990277, 0.2428320883719743, -0.07692484884394397, -0.12676668181565814, 0.4118023449662088, 0.00021911447569353227, -0.12255126015208233, 0.18830062619319463, -0.14160307048252602, -0.09395772710592411, 0.10786552125274942, 0.16121468849844117, 0.09453258130314021, -0.18954131968490695, 0.04187144007903106, -0.014187917091894424, 0.2003946662077616, 0.0967072462930676, 0.06223737327489017, 0.2069406518940118, 0.18800117395518498, 0.007844535307423479, 0.03913652798396417, -0.09786823568481787, -0.10860152925824983, -0.25856382468308525, -0.11268374914753027, -0.13022641812975722, 0.0730257388739579, -0.029494548781477878, -0.05724569001160134, 0.3956996607273046, 0.08909115358523426, 0.18980582312134833, -0.08360460349465666, 0.28479842703532554, 0.07304220660000868, 0.06996389895131619, 0.03246063688480905, 0.27047899153468935, 0.1755245680487233, 0.07595266808552303, -0.26688014621171974, 0.013929596513338473, -0.0042388454754034] |
708.0306 | Rapid formation of exponential disks and bulges at high redshift from
the dynamical evolution of clump cluster and chain galaxies | Many galaxies at high redshift have peculiar morphologies dominated by
10^8-10^9 Mo kpc-sized clumps. Using numerical simulations, we show that these
"clump clusters" can result from fragmentation in gravitationally unstable
primordial disks. They appear as "chain galaxies" when observed edge-on. In
less than 1 Gyr, clump formation, migration, disruption, and interaction with
the disk cause these systems to evolve from initially uniform disks into
regular spiral galaxies with an exponential or double-exponential disk profile
and a central bulge. The inner exponential is the initial disk size and the
outer exponential is from material flung out by spiral arms and clump torques.
A nuclear black hole may form at the same time as the bulge from smaller black
holes that grow inside the dense cores of each clump. The properties and
lifetimes of the clumps in our models are consistent with observations of the
clumps in high redshift galaxies, and the stellar motions in our models are
consistent with the observed velocity dispersions and lack of organized
rotation in chain galaxies. We suggest that violently unstable disks are the
first step in spiral galaxy formation. The associated starburst activity gives
a short timescale for the initial stellar disk to form.
| astro-ph | many galaxies at high redshift have peculiar morphologies dominated by 108109 mo kpcsized clumps using numerical simulations we show that these clump clusters can result from fragmentation in gravitationally unstable primordial disks they appear as chain galaxies when observed edgeon in less than 1 gyr clump formation migration disruption and interaction with the disk cause these systems to evolve from initially uniform disks into regular spiral galaxies with an exponential or doubleexponential disk profile and a central bulge the inner exponential is the initial disk size and the outer exponential is from material flung out by spiral arms and clump torques a nuclear black hole may form at the same time as the bulge from smaller black holes that grow inside the dense cores of each clump the properties and lifetimes of the clumps in our models are consistent with observations of the clumps in high redshift galaxies and the stellar motions in our models are consistent with the observed velocity dispersions and lack of organized rotation in chain galaxies we suggest that violently unstable disks are the first step in spiral galaxy formation the associated starburst activity gives a short timescale for the initial stellar disk to form | [['many', 'galaxies', 'at', 'high', 'redshift', 'have', 'peculiar', 'morphologies', 'dominated', 'by', '108109', 'mo', 'kpcsized', 'clumps', 'using', 'numerical', 'simulations', 'we', 'show', 'that', 'these', 'clump', 'clusters', 'can', 'result', 'from', 'fragmentation', 'in', 'gravitationally', 'unstable', 'primordial', 'disks', 'they', 'appear', 'as', 'chain', 'galaxies', 'when', 'observed', 'edgeon', 'in', 'less', 'than', '1', 'gyr', 'clump', 'formation', 'migration', 'disruption', 'and', 'interaction', 'with', 'the', 'disk', 'cause', 'these', 'systems', 'to', 'evolve', 'from', 'initially', 'uniform', 'disks', 'into', 'regular', 'spiral', 'galaxies', 'with', 'an', 'exponential', 'or', 'doubleexponential', 'disk', 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'associated', 'starburst', 'activity', 'gives', 'a', 'short', 'timescale', 'for', 'the', 'initial', 'stellar', 'disk', 'to', 'form']] | [-0.09681271894568175, 0.13542028182425597, -0.09098338830897856, 0.1110151880643045, -0.06803585293974222, -0.016033416255915433, -0.03083228621042179, 0.4363813249478538, -0.16397628192813252, -0.3012903038863954, 0.05138179168266586, -0.257009710994872, -0.012823918399087449, 0.16911493171937764, 0.0034068403110357384, -0.01969236193046947, 0.06908412529951215, -0.12114092870966424, -0.025689371037688903, -0.27587564524565006, 0.3321866686046404, 0.03840488013820185, 0.09343266966120906, -0.12038265879092803, 0.02379258852873241, -0.1618497483853494, -0.01140838815133326, -0.013252677901381224, -0.20232321397484315, 0.010642067343523099, 0.21192069073289138, 0.09043594984216007, 0.24411083247287937, -0.45274115848032076, -0.19881636024763966, 0.028446645562504255, 0.2830353117496449, 0.08199013682578377, -0.09664441572283465, -0.2615428392947347, 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708.0307 | Color-flavor locked superconductor in a magnetic field | We study the effects of moderately strong magnetic fields on the properties
of color-flavor locked color superconducting quark matter in the framework of
the Nambu-Jona-Lasinio model. We find that the energy gaps, which describe the
color superconducting pairing as well as the magnetization, are oscillating
functions of the magnetic field. Also, we observe that the oscillations of the
magnetization can be so strong that homogeneous quark matter becomes metastable
for a range of parameters. We suggest that this points to the possibility of
magnetic domains or other types of magnetic inhomogeneities in the quark cores
of magnetars.
| hep-ph astro-ph hep-th | we study the effects of moderately strong magnetic fields on the properties of colorflavor locked color superconducting quark matter in the framework of the nambujonalasinio model we find that the energy gaps which describe the color superconducting pairing as well as the magnetization are oscillating functions of the magnetic field also we observe that the oscillations of the magnetization can be so strong that homogeneous quark matter becomes metastable for a range of parameters we suggest that this points to the possibility of magnetic domains or other types of magnetic inhomogeneities in the quark cores of magnetars | [['we', 'study', 'the', 'effects', 'of', 'moderately', 'strong', 'magnetic', 'fields', 'on', 'the', 'properties', 'of', 'colorflavor', 'locked', 'color', 'superconducting', 'quark', 'matter', 'in', 'the', 'framework', 'of', 'the', 'nambujonalasinio', 'model', 'we', 'find', 'that', 'the', 'energy', 'gaps', 'which', 'describe', 'the', 'color', 'superconducting', 'pairing', 'as', 'well', 'as', 'the', 'magnetization', 'are', 'oscillating', 'functions', 'of', 'the', 'magnetic', 'field', 'also', 'we', 'observe', 'that', 'the', 'oscillations', 'of', 'the', 'magnetization', 'can', 'be', 'so', 'strong', 'that', 'homogeneous', 'quark', 'matter', 'becomes', 'metastable', 'for', 'a', 'range', 'of', 'parameters', 'we', 'suggest', 'that', 'this', 'points', 'to', 'the', 'possibility', 'of', 'magnetic', 'domains', 'or', 'other', 'types', 'of', 'magnetic', 'inhomogeneities', 'in', 'the', 'quark', 'cores', 'of', 'magnetars']] | [-0.1653318892319485, 0.27052877438206646, -0.07867025923387137, 0.0942360976190047, -0.07034242091719638, -0.03449178233109031, 0.05988473771860074, 0.38459905693979607, -0.23408845681505105, -0.30695905025625964, 0.003669783811459375, -0.23153430629598418, -0.06522194861876059, 0.15406424650615178, 0.04115845116825064, -0.017570936572305934, -0.01940973367081168, 0.032493278782661124, -0.10613149344997923, -0.22042180784526713, 0.3855331997991991, -0.06800981865446899, 0.26417103696844935, 0.09790206245943597, 0.028903419161503463, -0.06126973682716873, 0.08852332319641851, 0.04217010390819963, -0.09641477805079254, 2.6053605005913175e-05, 0.16554704193354672, -0.009603083647365115, 0.16513937504328402, -0.45918013378209677, -0.24179819498220748, 0.12584653502022944, 0.12458163604485928, 0.14337335053960956, -0.06246599152842633, -0.2722828959777337, 0.09716459934674107, -0.15842934453994342, -0.16668315704182252, -0.12831931459458218, -0.00621553370609073, 0.07070827138245336, -0.28393938824457604, 0.0906895407611749, 0.06916119800352481, 0.03378249126841727, -0.0934779900846254, -0.11954656947096906, -0.056141208926907056, 0.04753968560079247, 0.1006726496408876, 0.05969669396950642, 0.16268779491986504, -0.217270344744206, -0.0929727599543241, 0.35826086566889104, -0.06667972423289854, -0.08847042124180757, 0.1524718113450007, -0.18827203133133882, -0.11417089695994233, 0.06910183989759727, 0.16073766793364408, 0.11743895543412756, -0.13397827275462218, 0.0782961335858887, -0.06310603817079946, 0.17346290447125115, 0.037064251818780584, 0.10472817610488418, 0.3103926456773404, 0.18380303707780296, 0.025763169372665512, 0.14724286914426238, -0.1465608411607784, -0.06571495671247699, -0.3175923334789875, -0.1317640522053254, -0.14657854308739074, 0.0021610325634402712, -0.09041181769337236, -0.2361219161065276, 0.436285577013551, 0.1698218417550754, 0.18118716586265982, -0.075585136001632, 0.2803122549961062, 0.08338360504076826, 0.09989717520638994, 0.09349792915367588, 0.29525914383072827, 0.20198215036797001, 0.1317525058744725, -0.3151433433300441, -0.008206536208481057, -0.002616152877813762] |
708.0308 | Galaxies:kinematics as a proof of the existence of a universal field of
minimum acceleration | Taking into account only luminous objects, the kinematics of clusters of
galaxies, galaxies and their interior, require a much higher mass than the
luminous one to explain the observations. This situation has provoked more than
30 years of intense research and has stimulated hypothesis like the dark
matter. Also new mechanical theories, different from Newton (like the Modified
Newtonian Dynamics), have been proposed. We here present an alternative:
theoretical and observational data strongly suggest the existence of a
universal field of minimum acceleration of the order of c/t, c the speed of
light and t the age of the Universe. We keep our reasoning within the present
state of the art of Quantum Mechanics, Relativity and Newtonian Mechanics. With
this approach the kinematics of the luminous objects are explained without any
additional assumption. At the same time the sizes of all structures in the
Universe, from protons up to the Universe, are explained as due to the constant
action of this field.
| physics.gen-ph | taking into account only luminous objects the kinematics of clusters of galaxies galaxies and their interior require a much higher mass than the luminous one to explain the observations this situation has provoked more than 30 years of intense research and has stimulated hypothesis like the dark matter also new mechanical theories different from newton like the modified newtonian dynamics have been proposed we here present an alternative theoretical and observational data strongly suggest the existence of a universal field of minimum acceleration of the order of ct c the speed of light and t the age of the universe we keep our reasoning within the present state of the art of quantum mechanics relativity and newtonian mechanics with this approach the kinematics of the luminous objects are explained without any additional assumption at the same time the sizes of all structures in the universe from protons up to the universe are explained as due to the constant action of this field | [['taking', 'into', 'account', 'only', 'luminous', 'objects', 'the', 'kinematics', 'of', 'clusters', 'of', 'galaxies', 'galaxies', 'and', 'their', 'interior', 'require', 'a', 'much', 'higher', 'mass', 'than', 'the', 'luminous', 'one', 'to', 'explain', 'the', 'observations', 'this', 'situation', 'has', 'provoked', 'more', 'than', '30', 'years', 'of', 'intense', 'research', 'and', 'has', 'stimulated', 'hypothesis', 'like', 'the', 'dark', 'matter', 'also', 'new', 'mechanical', 'theories', 'different', 'from', 'newton', 'like', 'the', 'modified', 'newtonian', 'dynamics', 'have', 'been', 'proposed', 'we', 'here', 'present', 'an', 'alternative', 'theoretical', 'and', 'observational', 'data', 'strongly', 'suggest', 'the', 'existence', 'of', 'a', 'universal', 'field', 'of', 'minimum', 'acceleration', 'of', 'the', 'order', 'of', 'ct', 'c', 'the', 'speed', 'of', 'light', 'and', 't', 'the', 'age', 'of', 'the', 'universe', 'we', 'keep', 'our', 'reasoning', 'within', 'the', 'present', 'state', 'of', 'the', 'art', 'of', 'quantum', 'mechanics', 'relativity', 'and', 'newtonian', 'mechanics', 'with', 'this', 'approach', 'the', 'kinematics', 'of', 'the', 'luminous', 'objects', 'are', 'explained', 'without', 'any', 'additional', 'assumption', 'at', 'the', 'same', 'time', 'the', 'sizes', 'of', 'all', 'structures', 'in', 'the', 'universe', 'from', 'protons', 'up', 'to', 'the', 'universe', 'are', 'explained', 'as', 'due', 'to', 'the', 'constant', 'action', 'of', 'this', 'field']] | [-0.07387187447108581, 0.12549703977623003, -0.13281978473906625, 0.08513649285449014, -0.09539183722176578, -0.08283924434426022, 0.008871708681841416, 0.349332205837673, -0.20154019922339989, -0.3502813550517147, 0.05941593964270857, -0.25125947663054604, -0.05183474023188292, 0.17845636764897432, -0.03754281917052275, -0.007013048758201393, 0.022865002581067842, 0.03859309749936478, -0.04600612697605458, -0.2718308584888201, 0.31065416743944363, 0.07285377014368014, 0.20520427794358118, -0.006106505673493684, 0.10418183130375971, -0.060377529388247635, -0.04311786207404954, 0.022836011098582805, -0.11347552718606169, 0.1030133431608484, 0.18700696876341547, 0.1509441390423748, 0.2727319382743358, -0.4552917423669571, -0.25351802038350774, 0.10762386099308913, 0.14454263263600475, 0.11282208519355383, -0.057372522815349825, -0.2916018860357135, 0.060834146246679106, -0.1593085453029216, -0.15507592394787037, -0.01840961425073652, 0.026875015266274137, -0.013510119299300842, -0.16116431659521582, 0.11434054732258736, 0.05459482359763143, 0.05298736195631877, -0.08943546019540524, -0.11033837392819862, 0.00478962519246349, 0.0740635691822886, 0.09188203474529731, 0.04700166363855479, 0.1599564835023894, -0.19137053129142495, -0.08499198803034277, 0.4477744265085799, -0.0414611314954078, -0.08147780989860127, 0.21884345438871763, -0.20191125986798678, -0.1363148668947641, 0.12706327627780906, 0.1430981605598289, 0.1396122352639788, -0.14425024800979888, 0.06695323353482376, -0.017585182339700377, 0.15810695960887788, 0.048569040311166996, 0.05321884691358808, 0.2699014310420341, 0.15216444907882423, 0.009717176600077685, 0.07864549307635536, -0.09805129761347708, -0.0892780089325467, -0.3023674952241385, -0.16095178688151968, -0.13405733415066484, 0.07223249146467603, -0.12054173599734233, -0.11289230883293958, 0.37365404639413213, 0.15744507768662808, 0.19098216864096437, 0.040733121163039294, 0.3032565721350918, 0.08209660355243142, 0.09804407965153294, 0.08915409629727587, 0.3138939641002152, 0.13009261345076892, 0.1022997627661414, -0.2348703778130405, 0.0551929988396745, -0.006068701811823247] |
708.0309 | Curvature of almost quaternion-Hermitian manifolds | We study the decomposition of the Riemannian curvature R tensor of an almost
quaternion-Hermitian manifold under the action of its structure group
Sp(n)Sp(1). Using the minimal connection, we show that most components are
determined by the intrinsic torsion \xi and its covariant derivative
\widetilde\nabla\xi and determine relations between the decompositions of
\xi\otimes\xi, \widetilde\nabla\xi and R. We pay particular attention to the
behaviour of the Ricci curvature and the q-Ricci curvature.
| math.DG | we study the decomposition of the riemannian curvature r tensor of an almost quaternionhermitian manifold under the action of its structure group spnsp1 using the minimal connection we show that most components are determined by the intrinsic torsion xi and its covariant derivative widetildenablaxi and determine relations between the decompositions of xiotimesxi widetildenablaxi and r we pay particular attention to the behaviour of the ricci curvature and the qricci curvature | [['we', 'study', 'the', 'decomposition', 'of', 'the', 'riemannian', 'curvature', 'r', 'tensor', 'of', 'an', 'almost', 'quaternionhermitian', 'manifold', 'under', 'the', 'action', 'of', 'its', 'structure', 'group', 'spnsp1', 'using', 'the', 'minimal', 'connection', 'we', 'show', 'that', 'most', 'components', 'are', 'determined', 'by', 'the', 'intrinsic', 'torsion', 'xi', 'and', 'its', 'covariant', 'derivative', 'widetildenablaxi', 'and', 'determine', 'relations', 'between', 'the', 'decompositions', 'of', 'xiotimesxi', 'widetildenablaxi', 'and', 'r', 'we', 'pay', 'particular', 'attention', 'to', 'the', 'behaviour', 'of', 'the', 'ricci', 'curvature', 'and', 'the', 'qricci', 'curvature']] | [-0.21916551357417396, 0.07689712475478176, -0.11194761411223392, 0.04992639437092073, -0.12665506116481443, -0.0954375597789432, -0.06109094997924386, 0.3951457023521829, -0.2843589467423347, -0.22113290570224775, 0.12645842385421874, -0.27829166230830277, -0.18889309690249237, 0.10252468160240713, -0.045604815001063274, -0.03127363514663144, 0.001968128324458093, 0.1418832224003519, -0.10692710918727133, -0.21836923395466962, 0.43738344029495213, 0.0466408596769201, 0.24152464392087, 0.08681838782627671, 0.14363547578228242, -0.02657400383472894, -0.0611349429906995, 0.03687979945574294, -0.20467136665937494, 0.17234755205837163, 0.12746368726419116, 0.09322770826066985, 0.17965046027463608, -0.38179134765893896, -0.18287953888207223, 0.1572858735241673, 0.04657106111390573, -0.012608663302451147, 0.013443322146706509, -0.2651069584782376, 0.11204708155216367, -0.12722033293296894, -0.12490962837226548, -0.1135269759759081, 0.04528918310604764, -0.04695731619104856, -0.17442776447349, 0.039114506135581796, 0.09153902772672926, 0.05972967402670871, -0.09104320757570818, -0.11717829959128391, -0.09552116644794517, 0.136665418532423, 0.10825344273876963, 0.003187627048288105, 0.09110436382505929, -0.13433296064789774, -0.036082276460629975, 0.3751640854629152, -0.14936401298495405, -0.2618686211040547, 0.09448301840121999, -0.15483875967787974, -0.1166188033283547, 0.03616895575470897, 0.13672424433752894, 0.17124955488763977, -0.0822668017468514, 0.1859929543023816, -0.006784433625977148, 0.08782084609353633, 0.07788284501822834, 0.018391361410701364, 0.13326381501092605, 0.05659335552869985, 0.09438518331301042, 0.11755955402887511, -0.04497474896947317, -0.0718728093938394, -0.3588408567858013, -0.20978095179254358, -0.1654401908021872, 0.10472667316736822, -0.18074675221049058, -0.15946194007428308, 0.43408455581150274, 0.036646872448424496, 0.21003424638095594, 0.11842592186153386, 0.23007283972181153, 0.06834362340018604, 0.05267451597716321, 0.11272314076565883, 0.2457030665933747, 0.2652377284477662, 0.01744294463424012, -0.23828827937585162, -0.026609397895464845, 0.09894456172531302] |
708.031 | Large inductive dimension of the Smirnov remainder | The purpose of this paper is to investigate the large inductive dimension of
the remainder of the Smirnov compactification of the n-dimensional Euclidean
space with the usual metric, and give an application of it.
| math.GN math.MG | the purpose of this paper is to investigate the large inductive dimension of the remainder of the smirnov compactification of the ndimensional euclidean space with the usual metric and give an application of it | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'investigate', 'the', 'large', 'inductive', 'dimension', 'of', 'the', 'remainder', 'of', 'the', 'smirnov', 'compactification', 'of', 'the', 'ndimensional', 'euclidean', 'space', 'with', 'the', 'usual', 'metric', 'and', 'give', 'an', 'application', 'of', 'it']] | [-0.1165980847333284, 0.08366029628472033, -0.06504184352781843, 0.09149459338582613, -0.09103403628036819, -0.016521245432908043, -0.014639414021717933, 0.24844168137539835, -0.25193608995280503, -0.23518918801838642, 0.15454796803019502, -0.23243093515253244, -0.1586211495758856, 0.1571993473917246, -0.12339714314679012, 0.004387479385032374, -0.008962611366501626, 0.09505413513740196, -0.06759219641304191, -0.2975508598062922, 0.4709838260622585, 0.054469576516353035, 0.2696857623317662, 0.05296388850547373, 0.12402530430870898, 0.026895888245609754, -0.053030400810872805, 0.011914063531816389, -0.15850724816760597, 0.22271507493603757, 0.2046254226280486, 0.1435442690477323, 0.2148791452705422, -0.35652041380458016, -0.16319246139541707, 0.16033737876397722, 0.11238647935747662, 0.055018019526922965, 0.04127183389466475, -0.29233770291594896, 0.07069629784125615, -0.13798713497817516, -0.20697254221886396, -0.0515080672031378, 0.05311337146250641, -0.03490576378124602, -0.23172917233451323, -0.023440763724091297, 0.1505285203730797, 0.07002172580755808, -0.06600171357721966, -0.057141145965194, 0.0499259243335794, 0.11544903778293006, 0.09437177598010749, 0.09933593499419444, 0.027069294195183936, -0.05759664090103744, -0.0975069196703022, 0.38198075770838735, -0.0507451583740904, -0.22443472725503585, 0.16425601031412096, -0.18044920462211045, -0.0608242654844242, 0.05089485678164398, 0.15308665401329669, 0.16899221427464747, -0.1045106901677654, 0.25140681698308875, -0.059810893801862705, 0.09534422297249823, 0.06747907249476104, 0.0404348824008861, 0.07798060337218511, 0.19201930521932595, 0.10368715971708298, 0.24020291360862114, -0.08656740414581317, -0.046415677855667824, -0.38998548598850474, -0.26114167426438895, -0.20908475935678272, 0.13407499323982527, -0.17939401328904375, -0.25239003241500435, 0.38595885023310345, 0.11648613402126905, 0.22644744071123354, 0.09125747153645053, 0.2728518030660994, 0.10953332785078708, 0.04628035984933376, 0.036347636240808404, 0.20887262037243037, 0.1480879966607865, 0.05152780968038475, -0.17776980060700545, -0.044510318253956294, 0.18236865245682352] |
708.0311 | Lagrangian Structure Functions in Turbulence: A Quantitative Comparison
between Experiment and Direct Numerical Simulation | A detailed comparison between data from experimental measurements and
numerical simulations of Lagrangian velocity structure functions in turbulence
is presented. By integrating information from experiments and numerics, a
quantitative understanding of the velocity scaling properties over a wide range
of time scales and Reynolds numbers is achieved. The local scaling properties
of the Lagrangian velocity increments for the experimental and numerical data
are in good quantitative agreement for all time lags. The degree of
intermittency changes when measured close to the Kolmogorov time scales or at
larger time lags. This study resolves apparent disagreements between experiment
and numerics.
| nlin.CD cond-mat.stat-mech physics.flu-dyn | a detailed comparison between data from experimental measurements and numerical simulations of lagrangian velocity structure functions in turbulence is presented by integrating information from experiments and numerics a quantitative understanding of the velocity scaling properties over a wide range of time scales and reynolds numbers is achieved the local scaling properties of the lagrangian velocity increments for the experimental and numerical data are in good quantitative agreement for all time lags the degree of intermittency changes when measured close to the kolmogorov time scales or at larger time lags this study resolves apparent disagreements between experiment and numerics | [['a', 'detailed', 'comparison', 'between', 'data', 'from', 'experimental', 'measurements', 'and', 'numerical', 'simulations', 'of', 'lagrangian', 'velocity', 'structure', 'functions', 'in', 'turbulence', 'is', 'presented', 'by', 'integrating', 'information', 'from', 'experiments', 'and', 'numerics', 'a', 'quantitative', 'understanding', 'of', 'the', 'velocity', 'scaling', 'properties', 'over', 'a', 'wide', 'range', 'of', 'time', 'scales', 'and', 'reynolds', 'numbers', 'is', 'achieved', 'the', 'local', 'scaling', 'properties', 'of', 'the', 'lagrangian', 'velocity', 'increments', 'for', 'the', 'experimental', 'and', 'numerical', 'data', 'are', 'in', 'good', 'quantitative', 'agreement', 'for', 'all', 'time', 'lags', 'the', 'degree', 'of', 'intermittency', 'changes', 'when', 'measured', 'close', 'to', 'the', 'kolmogorov', 'time', 'scales', 'or', 'at', 'larger', 'time', 'lags', 'this', 'study', 'resolves', 'apparent', 'disagreements', 'between', 'experiment', 'and', 'numerics']] | [-0.14433378312375625, 0.1248948362665441, -0.11457149748101222, 0.08670943013359127, -0.035756048247484226, -0.07077720776029235, 0.02250020709886615, 0.3648267633528734, -0.2694770324005916, -0.35209175134647863, 0.050162951459594984, -0.30723517572944414, -0.06444830188233101, 0.2687274684953712, 0.034266632715506215, 0.10938888478178378, 0.0981668273215087, -0.04262187752435554, -0.10104397995093344, -0.14984874197101333, 0.24626856845119321, 0.11133262472303242, 0.2749420590603686, 0.06904540418609216, 0.09738355111188199, -0.07531170675481137, -0.10182422462717763, 0.09332883411220141, -0.18362992540077896, 0.046634808567079966, 0.26341974640227095, 0.04897255889539208, 0.2403132982423757, -0.41583784209678365, -0.2158751364916739, 0.03785166553012571, 0.12014533994524569, 0.06153769994496691, -0.038695869352003295, -0.26966639748793475, 0.07468940199908744, -0.08664574117143757, -0.12637583071803105, -0.07681541425670135, 0.08242372831576789, 0.062153166205128084, -0.26079220872916453, 0.18903543752658522, -0.01678805872892999, 0.1683360325286583, -0.06783713621790616, -0.05308526857014822, -0.0020451239329211564, 0.1331788932988349, 0.09512088685866674, 0.019401535543860222, 0.09202263617355909, -0.13613615573469398, -0.09226766167854776, 0.3608065665775568, -0.05251543145218142, -0.16081158632688147, 0.20916431474176292, -0.21011043091456652, -0.07628586143730398, 0.14071795816666313, 0.15740842177361555, 0.07271404509261555, -0.07420676238540849, 0.037897442901692335, -0.07151177902801001, 0.23732015239645024, 0.039151169485602606, 0.023329316846814305, 0.16634366366708156, 0.17383159897218894, 0.001549025484341748, 0.045342309427761227, -0.10924668434760249, -0.1596284695801192, -0.3277318752845939, -0.11398640130551493, -0.1894734006259847, 0.009992503912701291, -0.18001567841224178, -0.07120928906227406, 0.40239601202157077, 0.17507088955073635, 0.25538846423222245, 0.14204851041633484, 0.31793817657293105, 0.0921299746153135, 0.03431274028190849, 0.06971852626290401, 0.23718016292800062, 0.15221289756033113, 0.15366083035145753, -0.24296008238369332, 0.08081895897488053, 0.023018150884962202] |
708.0312 | Anomalous Scaling and Refined Similarity of an Active Scalar in a Model
of Homogeneous Turbulent Convection | Anomalous scaling in the statistics of an active scalar in homogeneous
turbulent convection is studied using a dynamical shell model. We extend
refined similarity ideas for homogeneous and isotropic turbulence to
homogeneous turbulent convection and attribute the origin of the anomalous
scaling to variations of the entropy transfer rate. We verify the consequences
and thus the validity of our hypothesis by showing that the conditional
statistics of the active scalar and the velocity at fixed values of entropy
transfer rate are not anomalous but have simple scaling with exponents given by
dimensional considerations, and that the intermittency corrections are given by
the scaling exponents of the moments of the entropy transfer rate.
| nlin.CD | anomalous scaling in the statistics of an active scalar in homogeneous turbulent convection is studied using a dynamical shell model we extend refined similarity ideas for homogeneous and isotropic turbulence to homogeneous turbulent convection and attribute the origin of the anomalous scaling to variations of the entropy transfer rate we verify the consequences and thus the validity of our hypothesis by showing that the conditional statistics of the active scalar and the velocity at fixed values of entropy transfer rate are not anomalous but have simple scaling with exponents given by dimensional considerations and that the intermittency corrections are given by the scaling exponents of the moments of the entropy transfer rate | [['anomalous', 'scaling', 'in', 'the', 'statistics', 'of', 'an', 'active', 'scalar', 'in', 'homogeneous', 'turbulent', 'convection', 'is', 'studied', 'using', 'a', 'dynamical', 'shell', 'model', 'we', 'extend', 'refined', 'similarity', 'ideas', 'for', 'homogeneous', 'and', 'isotropic', 'turbulence', 'to', 'homogeneous', 'turbulent', 'convection', 'and', 'attribute', 'the', 'origin', 'of', 'the', 'anomalous', 'scaling', 'to', 'variations', 'of', 'the', 'entropy', 'transfer', 'rate', 'we', 'verify', 'the', 'consequences', 'and', 'thus', 'the', 'validity', 'of', 'our', 'hypothesis', 'by', 'showing', 'that', 'the', 'conditional', 'statistics', 'of', 'the', 'active', 'scalar', 'and', 'the', 'velocity', 'at', 'fixed', 'values', 'of', 'entropy', 'transfer', 'rate', 'are', 'not', 'anomalous', 'but', 'have', 'simple', 'scaling', 'with', 'exponents', 'given', 'by', 'dimensional', 'considerations', 'and', 'that', 'the', 'intermittency', 'corrections', 'are', 'given', 'by', 'the', 'scaling', 'exponents', 'of', 'the', 'moments', 'of', 'the', 'entropy', 'transfer', 'rate']] | [-0.12453132086271321, 0.18837671289254235, -0.09564245690541741, 0.1015576927883168, -0.020100832020814, -0.09568674414289749, 0.054347794935373325, 0.28904669825195534, -0.2596896999166347, -0.27100990030781497, 0.07660947456731394, -0.2651552693818563, -0.11899362185171672, 0.2020566491867482, 0.010223126213531941, 0.08991209463640969, -0.021559827877873822, 0.029986085137352347, -0.05809027758576641, -0.21706921472546778, 0.3809833220854801, 0.09751531910816473, 0.3068883720386241, 0.03588266962157961, 0.07459926015664158, -0.07991019660091427, -0.059284835072633414, 0.05748272157714902, -0.17721589527523715, 0.10678556747734547, 0.1560300049500906, 0.048019100338154076, 0.20961669579680478, -0.3793469873822427, -0.279847069668384, 0.07368802043908675, 0.14415049493878282, 0.07249633870586487, -0.032232437484448644, -0.2293872370916818, 0.08940747768584904, -0.17474037197410194, -0.14692015429110533, -0.08164054399406138, 0.060827345678782355, 0.04663108908737611, -0.2959633053188944, 0.1770357089283477, 0.10342648648526977, 0.09963260349884097, -0.0873892103326008, -0.06025601067813113, -0.031434973071944636, 0.14334062939243658, 0.09976290823812763, -0.035798841571834474, 0.14527898462672187, -0.1704138546185407, -0.10987493868326835, 0.3326876964752695, -0.07177161885504445, -0.21445717635963643, 0.18165496289397456, -0.2054550372704398, -0.09477167590687584, 0.1381217790559666, 0.15674308917784532, 0.07504204169215102, -0.11445744980093357, 0.07159635136641944, -0.03002019293905635, 0.13763143353363766, 0.01908155885134225, -0.01919813674508727, 0.20197739383937524, 0.11681463414736624, -0.0041523778075186, 0.1324590064302486, -0.10753793935042008, -0.1341306016152625, -0.3196964654073651, -0.15589378832373768, -0.19740300246381334, 0.07184768495803187, -0.16025169397406508, -0.1512009648888904, 0.34345570451945867, 0.16290811021203158, 0.21855354269168206, 0.07468162619833103, 0.26146314723882824, 0.1678093081042919, 0.045116221939679235, 0.13163804443112376, 0.2701739598103034, 0.18785397863705708, 0.12203269115291603, -0.2712823986283703, 0.07458033578170996, 0.11634008121576958] |
708.0313 | Heating by Acoustic Waves of Multiphase Media | We study the emission and dissipation of acoustic waves from cool dense
clouds in pressure equilibrium with a hot, volume-filling dilute gas component.
In our model, the clouds are exposed to a source of ionizing radiation whose
flux level varies with time, forcing the clouds to pulsate. We estimate the
rate at which acoustic energy is radiated away by an ensemble of clouds and the
rate at which it is absorbed by, and dissipated in, the hot dilute phase. We
show that acoustic energy can be a substantial heating source of the hot gas
phase when the mass in the cool component is a substantial fraction of the
total gas mass. We investigate the applicability of our results to the
multiphase media of several astrophysical systems, including quasar outflows
and cooling flows. We find that acoustic heating can have a substantial effect
on the thermal properties of the hot phase in those systems.
| astro-ph | we study the emission and dissipation of acoustic waves from cool dense clouds in pressure equilibrium with a hot volumefilling dilute gas component in our model the clouds are exposed to a source of ionizing radiation whose flux level varies with time forcing the clouds to pulsate we estimate the rate at which acoustic energy is radiated away by an ensemble of clouds and the rate at which it is absorbed by and dissipated in the hot dilute phase we show that acoustic energy can be a substantial heating source of the hot gas phase when the mass in the cool component is a substantial fraction of the total gas mass we investigate the applicability of our results to the multiphase media of several astrophysical systems including quasar outflows and cooling flows we find that acoustic heating can have a substantial effect on the thermal properties of the hot phase in those systems | [['we', 'study', 'the', 'emission', 'and', 'dissipation', 'of', 'acoustic', 'waves', 'from', 'cool', 'dense', 'clouds', 'in', 'pressure', 'equilibrium', 'with', 'a', 'hot', 'volumefilling', 'dilute', 'gas', 'component', 'in', 'our', 'model', 'the', 'clouds', 'are', 'exposed', 'to', 'a', 'source', 'of', 'ionizing', 'radiation', 'whose', 'flux', 'level', 'varies', 'with', 'time', 'forcing', 'the', 'clouds', 'to', 'pulsate', 'we', 'estimate', 'the', 'rate', 'at', 'which', 'acoustic', 'energy', 'is', 'radiated', 'away', 'by', 'an', 'ensemble', 'of', 'clouds', 'and', 'the', 'rate', 'at', 'which', 'it', 'is', 'absorbed', 'by', 'and', 'dissipated', 'in', 'the', 'hot', 'dilute', 'phase', 'we', 'show', 'that', 'acoustic', 'energy', 'can', 'be', 'a', 'substantial', 'heating', 'source', 'of', 'the', 'hot', 'gas', 'phase', 'when', 'the', 'mass', 'in', 'the', 'cool', 'component', 'is', 'a', 'substantial', 'fraction', 'of', 'the', 'total', 'gas', 'mass', 'we', 'investigate', 'the', 'applicability', 'of', 'our', 'results', 'to', 'the', 'multiphase', 'media', 'of', 'several', 'astrophysical', 'systems', 'including', 'quasar', 'outflows', 'and', 'cooling', 'flows', 'we', 'find', 'that', 'acoustic', 'heating', 'can', 'have', 'a', 'substantial', 'effect', 'on', 'the', 'thermal', 'properties', 'of', 'the', 'hot', 'phase', 'in', 'those', 'systems']] | [-0.11429765300476753, 0.19681296873850265, -0.04816086071214693, 0.027525384370937604, -0.028617725579761992, 0.003972976757639569, 0.054767698722928033, 0.3728581030725264, -0.2530914749037109, -0.3048578980211412, 0.06652864260413362, -0.33348927881227797, -0.0046502708512954904, 0.211228152601584, -0.001521945419703044, -0.014169341081059446, 0.029687871324093222, -0.027874701893797107, -0.0037366965073434744, -0.19792887466895742, 0.3299227411511774, 0.10616091954114001, 0.20848532928476488, 0.07859650669083779, 0.076855305910987, -0.14007532734156045, -0.007496276657322263, 0.008414029871917092, -0.10797317889627461, 0.025606182111682845, 0.1892448324904917, 0.0647578820939255, 0.2411251448226478, -0.4224257373975383, -0.33261041747241776, 0.09610486068014129, 0.15786519096372953, 0.10015644392248219, -0.08165273680640811, -0.21382638882675203, 0.01634343294122445, -0.18851822915980043, -0.13639238450274455, 0.013794287527893103, 0.014581946930026306, 0.054225643915641636, -0.2369825823439492, 0.15775474201084352, 0.06399748718375158, 0.016755848200809137, -0.1003751653684851, -0.048707524259739066, -0.06331085270572015, 0.06818867085773188, 0.02845295850458415, 0.042328780282059005, 0.23439156586072998, -0.17021361596614512, 0.02744838074336644, 0.4326958664832941, -0.1191922171175285, -0.07855571431162603, 0.25602196946472316, -0.18054551725561907, -0.09951781130280175, 0.23665716702094167, 0.2245199878097457, 0.09501366801194701, -0.15238105472730049, -0.03442152565972137, -0.05033004481734988, 0.18798537634380064, 0.026898869450258857, 0.043235558138405475, 0.32210673074530183, 0.14054355154793977, 0.001714265124653192, 0.17564221714498487, -0.16014517445400284, -0.05812600397754436, -0.23118126157403382, -0.12521597547639235, -0.1563583436586401, 0.048981957799554166, -0.07443473581795343, -0.15034689525663708, 0.34137099101953816, 0.1686009723701502, 0.2034287096573393, -0.014096186875237846, 0.3705250105388414, 0.13356861964954683, 0.06165317708498561, 0.18140717249461055, 0.29923356820226593, 0.1476794161219028, 0.105916742012483, -0.2851433100717544, 0.01740647093666827, -0.0015282668295054653] |
708.0314 | Imaging correlated wave functions of few-electron quantum dots: Theory
and scanning tunneling spectroscopy experiments | We show both theoretically and experimentally that scanning tunneling
spectroscopy (STS) images of semiconductor quantum dots may display clear
signatures of electron-electron correlation. We apply many-body tunneling
theory to a realistic model which fully takes into account correlation effects
and dot anisotropy. Comparing measured STS images of freestanding InAs quantum
dots with those calculated by the full configuration interaction method, we
explain the wave function sequence in terms of images of one- and two-electron
states. The STS map corresponding to double charging is significantly distorted
by electron correlation with respect to the non-interacting case.
| cond-mat.mes-hall cond-mat.str-el | we show both theoretically and experimentally that scanning tunneling spectroscopy sts images of semiconductor quantum dots may display clear signatures of electronelectron correlation we apply manybody tunneling theory to a realistic model which fully takes into account correlation effects and dot anisotropy comparing measured sts images of freestanding inas quantum dots with those calculated by the full configuration interaction method we explain the wave function sequence in terms of images of one and twoelectron states the sts map corresponding to double charging is significantly distorted by electron correlation with respect to the noninteracting case | [['we', 'show', 'both', 'theoretically', 'and', 'experimentally', 'that', 'scanning', 'tunneling', 'spectroscopy', 'sts', 'images', 'of', 'semiconductor', 'quantum', 'dots', 'may', 'display', 'clear', 'signatures', 'of', 'electronelectron', 'correlation', 'we', 'apply', 'manybody', 'tunneling', 'theory', 'to', 'a', 'realistic', 'model', 'which', 'fully', 'takes', 'into', 'account', 'correlation', 'effects', 'and', 'dot', 'anisotropy', 'comparing', 'measured', 'sts', 'images', 'of', 'freestanding', 'inas', 'quantum', 'dots', 'with', 'those', 'calculated', 'by', 'the', 'full', 'configuration', 'interaction', 'method', 'we', 'explain', 'the', 'wave', 'function', 'sequence', 'in', 'terms', 'of', 'images', 'of', 'one', 'and', 'twoelectron', 'states', 'the', 'sts', 'map', 'corresponding', 'to', 'double', 'charging', 'is', 'significantly', 'distorted', 'by', 'electron', 'correlation', 'with', 'respect', 'to', 'the', 'noninteracting', 'case']] | [-0.11159343546395131, 0.11701672721748299, -0.08481568956321621, 0.10738149430587927, 0.05028942030696, -0.20859370424729237, 0.012153332636869968, 0.4400832841886168, -0.260396014361833, -0.3149822138360097, -0.08820685847944758, -0.3678223896236654, -0.1625534332099747, 0.19034735455940616, 0.05729593665873448, 0.06546980364649418, 0.07612025121999706, -0.07636383256102179, -0.09479860962180302, -0.20230961259717042, 0.3256268442776847, 0.02997684290266021, 0.3140994950811914, 0.08247520340646201, 0.050686554770242975, 0.054156718077138066, 0.08246363715288486, 0.06801254710955347, -0.1410245816945501, 0.05493333918584927, 0.22882330056064407, -0.04351199462890942, 0.1947804062250764, -0.49284875608901396, -0.19971061703015833, -0.004615015024566983, 0.17993481739602507, 0.13928619162253839, -0.0610044126032277, -0.3478482984566189, 0.03368936085261087, -0.14024407343636763, -0.020686143147263754, -0.11001227568200928, -0.026814774859032813, -0.011464489217689063, -0.25611414805183463, 0.12199403980667604, -0.019753040547700638, 0.018483710836896552, -0.07389897968065232, -0.024322284762054048, -0.03621852737752364, 0.09898206531664634, -0.044424306696647424, 0.03796975134297254, 0.17168434053669346, -0.0902851163607804, -0.15268493917376852, 0.35184299904219013, -0.08063735632582548, -0.14303767152113264, 0.12926296566791357, -0.25122951487069356, -0.03367284649705633, 0.13261508613705952, 0.0698303472438946, 0.0937824820718193, -0.1431840006608833, 0.07382307141001257, 0.003907802772486552, 0.17932198705656968, 0.050692685741059326, 0.11793545428960722, 0.2198927457979385, 0.123863931436914, -0.0016474177951904688, 0.13839712733913095, -0.18177618722411545, -0.09988348174126858, -0.20773496600660554, -0.16537008705013928, -0.2388521661446925, 0.09345061012510919, -0.018074647386767655, -0.17807054130281222, 0.42727423239340806, 0.15085419933831795, 0.19084290108901072, -0.00546207704873597, 0.3035580972457265, 0.1616652981734815, 0.07150072305205654, -0.07082512234634858, 0.20014497412844223, 0.1666279925761665, 0.03391285169314831, -0.3040164485425153, 0.032184920739382505, -0.024839980517850913] |
708.0315 | Anisotropic thermo-elasticity in 2D -- Part II: Applications | In this note we present concrete applications of the general treatment of
anisotropic thermo-elasticity developed in Part I.
| math.AP math-ph math.MP | in this note we present concrete applications of the general treatment of anisotropic thermoelasticity developed in part i | [['in', 'this', 'note', 'we', 'present', 'concrete', 'applications', 'of', 'the', 'general', 'treatment', 'of', 'anisotropic', 'thermoelasticity', 'developed', 'in', 'part', 'i']] | [-0.08865298330783844, 0.022784335176563926, -0.03205791778034634, 0.011650273621651448, -0.07111953623178932, -0.07218254419664542, -0.06198565678722742, 0.3537618675165706, -0.2153659506390492, -0.2105364037884606, 0.09340775179831932, -0.19725881351364982, -0.22966955705649322, 0.13876466535859638, -0.13868151211904156, 0.0014532146354516347, 0.03812852046555943, -0.04132350327240096, -0.06917007122602728, -0.2359533828114056, 0.37978754443530405, 0.009553727435155047, 0.22940039399286938, 0.09504715146289931, 0.05469049660799404, 0.07524849575323363, -0.07560092003809081, 0.06692803485525979, -0.2628357795377572, 0.18886062088939878, 0.327859021930231, 0.06917388209452231, 0.27899619771374595, -0.44836099114682937, -0.19454757206969792, 0.03973600951333841, 0.09126035972601837, 0.18999255039832658, -0.13395301604436505, -0.20419812217975655, -0.0007949355575773451, -0.23262934241857794, -0.2190542539788617, -0.05214301869273186, 0.03979815791050593, -0.032137281675305635, -0.23362189096709093, 0.12647338930724394, 0.1448351913002423, 0.09955456723562545, -0.09945857379999426, -0.11790514612544535, 0.16478099467025864, 0.05378572999810179, 0.03463818888283438, -0.07737381712326573, 0.023993652288077608, -0.10951814074845363, -0.04519171971413824, 0.39638324081897736, -0.08155814413395193, -0.17297926674493486, 0.1829225667234924, -0.11118639322618644, -0.247251423735482, 0.028627915928761166, 0.254823798339607, 0.21651002226604354, -0.1591489411269625, 0.12376374929832916, -0.007595450099971559, 0.07084498492379983, -0.028877581159273785, -0.017409369100480236, 0.11650369399123722, 0.2013274087674088, -0.026675752881500456, 0.22214520225922266, -0.0011907071133868562, -0.06463882399515973, -0.46159057826217675, -0.24006167261136901, -0.1233389675617218, 0.059460611186093755, -0.015597680997517373, -0.1861327008033792, 0.46101832224263084, 0.24887437973585394, 0.08843376570277744, -0.005461228907936149, 0.27125983002285164, 0.11106564213211338, -0.04413876413471169, 0.05776419609578119, 0.2543565175599522, 0.10568586830049753, 0.16935090363646546, -0.14592284838565522, -0.006978800934222009, 0.04935311795108848] |
708.0316 | Searching For Helical Magnetic Fields in Active Galactic Nuclei | Previously, a multi-wavelength (2cm, 4cm and 6cm) polarization study by
Gabuzda, Murray and Cronin (2004) showed systematic Faraday Rotation gradients
across the parsec-scale jets of several BL Lac objects, interpreted as evidence
for helical magnetic (B) fields - the gradients were taken to be due to the
systematic variation of the line-of-sight B field across the jet. We present
here new results for the parsec-scale Faraday Rotation distributions for eight
additional BL Lac objects, based on polarization data obtained with the Very
Long Baseline Array (VLBA) at two wavelengths near each of the 2cm, 4cm and 6cm
bands. The Rotation Measure (RM) maps for all these sources indicate gradients
across their jets, as expected if these jets have helical B fields. Such
gradients are also detected in the cores of several sources. This provides
evidence that these gradients are present in appreciable regions of the jets
and are not isolated phenomena. We also observe reversals in the RM gradient in
the core region as compared to the gradient in the jet in at least three
sources.
| astro-ph | previously a multiwavelength 2cm 4cm and 6cm polarization study by gabuzda murray and cronin 2004 showed systematic faraday rotation gradients across the parsecscale jets of several bl lac objects interpreted as evidence for helical magnetic b fields the gradients were taken to be due to the systematic variation of the lineofsight b field across the jet we present here new results for the parsecscale faraday rotation distributions for eight additional bl lac objects based on polarization data obtained with the very long baseline array vlba at two wavelengths near each of the 2cm 4cm and 6cm bands the rotation measure rm maps for all these sources indicate gradients across their jets as expected if these jets have helical b fields such gradients are also detected in the cores of several sources this provides evidence that these gradients are present in appreciable regions of the jets and are not isolated phenomena we also observe reversals in the rm gradient in the core region as compared to the gradient in the jet in at least three sources | [['previously', 'a', 'multiwavelength', '2cm', '4cm', 'and', '6cm', 'polarization', 'study', 'by', 'gabuzda', 'murray', 'and', 'cronin', '2004', 'showed', 'systematic', 'faraday', 'rotation', 'gradients', 'across', 'the', 'parsecscale', 'jets', 'of', 'several', 'bl', 'lac', 'objects', 'interpreted', 'as', 'evidence', 'for', 'helical', 'magnetic', 'b', 'fields', 'the', 'gradients', 'were', 'taken', 'to', 'be', 'due', 'to', 'the', 'systematic', 'variation', 'of', 'the', 'lineofsight', 'b', 'field', 'across', 'the', 'jet', 'we', 'present', 'here', 'new', 'results', 'for', 'the', 'parsecscale', 'faraday', 'rotation', 'distributions', 'for', 'eight', 'additional', 'bl', 'lac', 'objects', 'based', 'on', 'polarization', 'data', 'obtained', 'with', 'the', 'very', 'long', 'baseline', 'array', 'vlba', 'at', 'two', 'wavelengths', 'near', 'each', 'of', 'the', '2cm', '4cm', 'and', '6cm', 'bands', 'the', 'rotation', 'measure', 'rm', 'maps', 'for', 'all', 'these', 'sources', 'indicate', 'gradients', 'across', 'their', 'jets', 'as', 'expected', 'if', 'these', 'jets', 'have', 'helical', 'b', 'fields', 'such', 'gradients', 'are', 'also', 'detected', 'in', 'the', 'cores', 'of', 'several', 'sources', 'this', 'provides', 'evidence', 'that', 'these', 'gradients', 'are', 'present', 'in', 'appreciable', 'regions', 'of', 'the', 'jets', 'and', 'are', 'not', 'isolated', 'phenomena', 'we', 'also', 'observe', 'reversals', 'in', 'the', 'rm', 'gradient', 'in', 'the', 'core', 'region', 'as', 'compared', 'to', 'the', 'gradient', 'in', 'the', 'jet', 'in', 'at', 'least', 'three', 'sources']] | [-0.10429711733545576, 0.12481402919561203, -0.048758268899151254, 0.10042002566092248, -0.06660417240379111, -0.059134404794978244, -0.005514857115756188, 0.4906362216919661, -0.21155183716277992, -0.3470970070960798, 0.09233247445763222, -0.2525939577605043, -0.013266063053160906, 0.21471669812287603, -0.002212728896743751, -0.02144120317484651, 0.01765754040064556, -0.1083018045260438, -0.014145697437758956, -0.16059347461842532, 0.2592865671776235, 0.039954342831458364, 0.2363609893008002, -0.002113107746200902, 0.10193864356260747, -0.11013173660795604, -0.09234099684150092, 0.05607305712964652, -0.06862073908048583, 0.0448151971572744, 0.21751888408990844, 0.05962150128558278, 0.1857715695760479, -0.3824489201445665, -0.20926637473782259, 0.04427331856984113, 0.1439114078693092, 0.07365242219397, -0.04305002853606961, -0.28586838629096745, 0.07915488613769411, -0.1358040073407548, -0.11638223911768623, -0.02624450795418982, 0.06616544940442379, 0.05079078822662788, -0.21616203164947884, 0.11934887443170218, 0.019574008324582663, 0.1427037781796285, -0.09947539120646459, -0.1505815009107547, -0.0714117102990193, 0.09736436469214303, 0.08966600241405623, 0.10293849049002997, 0.14644274219870568, -0.1338603912686397, -0.16835748709738255, 0.3448810716186251, -0.06868250971393926, -0.09752889516896435, 0.21217063330246935, -0.25196062044107487, -0.222548632999616, 0.15807992341795138, 0.19664614329912833, 0.13922467750364118, -0.10009444702948843, -0.03905493687173085, -0.060470763995711295, 0.13913873043443475, 0.056531847318900486, 0.07990411789555635, 0.2780592059610145, 0.048269603241767205, 0.04944582815282047, 0.14751629166371588, -0.26944565792568026, 0.004496454279869794, -0.3204200794521187, -0.09643237743260605, -0.08700264362418758, 0.04686130657135176, -0.0979466232121922, -0.0999048508800167, 0.3804346177939858, 0.07981100443883667, 0.21140305679291488, 0.015842788894827077, 0.2840270117923085, 0.01650043876376003, 0.12302625203671466, 0.1629998644354886, 0.3445897896374975, 0.1568084460244115, 0.14212480638442296, -0.20782735972532204, 0.05256551055902881, -0.03337341524394495] |
708.0317 | Comment: Monitoring Networked Applications With Incremental Quantile
Estimation | Comment: Monitoring Networked Applications With Incremental Quantile
Estimation [arXiv:0708.0302]
| stat.ME | comment monitoring networked applications with incremental quantile estimation arxiv07080302 | [['comment', 'monitoring', 'networked', 'applications', 'with', 'incremental', 'quantile', 'estimation', 'arxiv07080302']] | [-0.14180646360748345, -0.061008553124136396, -0.022818914873318538, -0.04242407299009048, -0.18278559876812828, -0.3424644395709038, 0.05223862397381001, 0.4318316388461325, -0.15059460865126717, -0.2871013937724961, 0.3038245534731282, -0.24358591685692468, -0.23661380861368445, 0.16721839809583294, -0.3203492797911167, 0.23052565774155986, 0.1332685396903091, -0.11823632083703867, -0.1182896580754055, -0.29870014389355976, 0.08941201099918948, 0.05185065294305483, 0.31397945061326027, -0.013323466396994062, 0.11906009395089415, 0.2880069497558806, -0.1671180207696226, -0.09058949102958043, -0.10746338922116491, 0.1721250061980552, 0.5429602961780297, 0.22089766297075483, 0.5194851540856891, -0.25613250997331405, -0.29014285571045345, 0.18476055417623785, 0.0755517956115202, 0.003271087176269955, -0.04060833507941829, -0.41642598311106366, -0.07250919669038719, -0.25924959571825135, -0.073689431986875, -0.1722898149035043, 0.0005581310639778773, 0.10864363763377899, -0.3237191554572847, 0.08159725864728291, -0.059789555768171944, 0.23247938768731224, -0.10408317380481297, -0.13112562770644823, 0.016403951164748933, -0.03646214451226923, 0.11306991510921055, -0.1113162740237183, 0.3533001136448648, -0.06434505771418723, -0.2240887749940157, 0.22326514536204436, 0.023935252722973626, -0.10549512133002281, 0.10878218110236856, 0.0783995905270179, -0.31422289843774504, -0.05154605447832081, 0.34754205619295436, 0.058100477481881775, -0.16852997202012274, 0.11848535388708115, 0.06323115382757452, 0.1369603102405866, 0.012258037096924253, 0.07288096596797307, 0.1036528427567747, 0.2931019804543919, 0.2178293460359176, 0.08418782924612363, -0.09025879949331284, -0.0706099168294006, -0.19366654629508653, -0.08807776733818981, -0.12764184611539045, -0.08135595917701721, -0.2825550799154573, -0.2942644730210304, 0.2582230567932129, 0.3102959985327389, 0.08016650120003356, 0.131926156166527, 0.3819754785961575, 0.1170882015592522, -0.13031929731369019, 0.1644070859377583, 0.10438426915142271, 0.06387187788883845, 0.21672290480799145, -0.2043422224620978, 0.17213665487037766, 0.021818617591634393] |
708.0318 | Blind background prediction using a bifurcated analysis scheme | A technique for background prediction using data, but maintaining a closed
signal box is described. The result is extended to two background sources.
Conditions on the applicability under correlated cuts are described. This
technique is applied to both a toy model and an analysis of data from a rare
neutral kaon decay experiment.
| physics.data-an | a technique for background prediction using data but maintaining a closed signal box is described the result is extended to two background sources conditions on the applicability under correlated cuts are described this technique is applied to both a toy model and an analysis of data from a rare neutral kaon decay experiment | [['a', 'technique', 'for', 'background', 'prediction', 'using', 'data', 'but', 'maintaining', 'a', 'closed', 'signal', 'box', 'is', 'described', 'the', 'result', 'is', 'extended', 'to', 'two', 'background', 'sources', 'conditions', 'on', 'the', 'applicability', 'under', 'correlated', 'cuts', 'are', 'described', 'this', 'technique', 'is', 'applied', 'to', 'both', 'a', 'toy', 'model', 'and', 'an', 'analysis', 'of', 'data', 'from', 'a', 'rare', 'neutral', 'kaon', 'decay', 'experiment']] | [-0.06136608085559927, 0.1034894551807808, -0.10067982107559044, 0.14057199687275262, -0.04004524282250061, -0.16058060966150942, 0.05168839473330047, 0.35584258267058516, -0.20067071557958732, -0.2946171402439194, 0.1130885415455713, -0.31317294427668146, -0.05701943686372548, 0.24359974243572718, -0.004405961565251621, 0.041113122858388244, 0.07356417910108026, 0.016098152670376707, -0.023659598690738796, -0.18949936665506717, 0.27261284928558005, 0.08963601969463646, 0.3109210165533817, 0.04520297352167479, 0.07925692922875004, -6.532700697206101e-05, -0.0900221337335852, 0.06448769478021928, -0.06532228157310835, 0.053686153073355836, 0.22454710808617748, 0.1775033706184125, 0.17186010298582743, -0.36685471984180007, -0.20544181298464537, 0.09715593916381586, 0.10811397409558578, 0.13588662534284424, -0.1067548599028257, -0.3301031679477332, 0.05697036750684931, -0.1252396152934657, -0.13994236813225555, -0.0833890901720327, -0.045477813461197995, -0.06853027464294771, -0.35873699030961914, 0.07425397587940097, 0.04325926992690788, 0.04138212779949788, -0.06297767873115416, -0.058376091752060745, 0.05390660888251831, 0.07792341541323178, 0.04887087237450101, 0.06675432357972241, 0.1627978799899794, -0.1339259879039776, -0.10607418846690429, 0.3938745526632048, -0.11733739813218631, -0.2607790880467532, 0.18794425193852973, -0.10797912446465695, -0.13270500367331617, 0.1767592875743812, 0.19476136814732598, 0.1102571131064082, -0.2386047587519125, 0.08771784046477032, -0.03184257939739047, 0.17185544060929767, 0.020611750067404983, -0.018765046524832834, 0.1960057571380979, 0.24336884108389606, 0.012382761118406395, 0.15676370343931442, -0.1072512393738231, -0.06920327826947817, -0.32416626941061244, -0.05505221802521638, -0.1526092504203882, 0.018785042110566964, -0.032939086826067894, -0.15581839848727094, 0.38775880852679034, 0.11774142318457928, 0.22017806561066294, 0.007623097077363504, 0.32530505773347784, 0.09751412595780391, 0.05465715501527741, 0.025089352839749376, 0.20835124565956165, 0.1547094420090599, 0.07378333263134337, -0.15316125705293468, 0.02679755494771701, 0.011863891131965057] |
708.0319 | Global asymptotic stability for a class of nonlinear chemical equations | We consider a class of nonlinear differential equations that arises in the
study of chemical reaction systems that are known to be locally asymptotically
stable and prove that they are in fact globally asymptotically stable. More
specifically, we will consider chemical reaction systems that are weakly
reversible, have a deficiency of zero, and are equipped with mass action
kinetics. We show that if for each $c \in \R_{> 0}^m$ the intersection of the
stoichiometric compatibility class $c + S$ with the subsets on the boundary
that could potentially contain equilibria, $L_W$, are at most discrete, then
global asymptotic stability follows. Previous global stability results for the
systems considered in this paper required $(c + S) \cap L_W = \emptyset$ for
each $c \in \R^m_{> 0}$, and so this paper can be viewed as an extension of
those works.
| math.DS math.CA | we consider a class of nonlinear differential equations that arises in the study of chemical reaction systems that are known to be locally asymptotically stable and prove that they are in fact globally asymptotically stable more specifically we will consider chemical reaction systems that are weakly reversible have a deficiency of zero and are equipped with mass action kinetics we show that if for each c in r_ 0m the intersection of the stoichiometric compatibility class c s with the subsets on the boundary that could potentially contain equilibria l_w are at most discrete then global asymptotic stability follows previous global stability results for the systems considered in this paper required c s cap l_w emptyset for each c in rm_ 0 and so this paper can be viewed as an extension of those works | [['we', 'consider', 'a', 'class', 'of', 'nonlinear', 'differential', 'equations', 'that', 'arises', 'in', 'the', 'study', 'of', 'chemical', 'reaction', 'systems', 'that', 'are', 'known', 'to', 'be', 'locally', 'asymptotically', 'stable', 'and', 'prove', 'that', 'they', 'are', 'in', 'fact', 'globally', 'asymptotically', 'stable', 'more', 'specifically', 'we', 'will', 'consider', 'chemical', 'reaction', 'systems', 'that', 'are', 'weakly', 'reversible', 'have', 'a', 'deficiency', 'of', 'zero', 'and', 'are', 'equipped', 'with', 'mass', 'action', 'kinetics', 'we', 'show', 'that', 'if', 'for', 'each', 'c', 'in', 'r_', '0m', 'the', 'intersection', 'of', 'the', 'stoichiometric', 'compatibility', 'class', 'c', 's', 'with', 'the', 'subsets', 'on', 'the', 'boundary', 'that', 'could', 'potentially', 'contain', 'equilibria', 'l_w', 'are', 'at', 'most', 'discrete', 'then', 'global', 'asymptotic', 'stability', 'follows', 'previous', 'global', 'stability', 'results', 'for', 'the', 'systems', 'considered', 'in', 'this', 'paper', 'required', 'c', 's', 'cap', 'l_w', 'emptyset', 'for', 'each', 'c', 'in', 'rm_', '0', 'and', 'so', 'this', 'paper', 'can', 'be', 'viewed', 'as', 'an', 'extension', 'of', 'those', 'works']] | [-0.15624652102627834, 0.13246115062956146, -0.042539508937277704, 0.019947693843060908, -0.013648988686001567, -0.16638611245955995, -0.003634069898554972, 0.37247508897015186, -0.2929873338165526, -0.20039813451246538, 0.12169113123108313, -0.28475113171361277, -0.13703289794832912, 0.1745572450988641, -0.08854557826607697, 0.013760323699654095, 0.05568353356637144, 0.077816234512338, -0.04936811937029654, -0.24205446178649567, 0.35694430358429896, -0.029377398244452787, 0.1990857306874788, 0.00014570304679114427, 0.03852167315068724, -0.06241461504667775, 0.03037377416309136, 0.07355018056939537, -0.1546799835431652, 0.08321322847866634, 0.2707294741256246, 0.12685236345399728, 0.22049658012979512, -0.3867049560214935, -0.21776194067032478, 0.15658011731653432, 0.14237854254098414, 0.07122494026657138, -0.05163766830734328, -0.19502671744757846, 0.18037402160020907, -0.13648848422914187, -0.14706566344960523, -0.07176157725808113, 0.06387020325385478, 0.061018713799465114, -0.30227862860062227, 0.03885422184118139, 0.10125979019412354, 0.03271462298832389, -0.0873123469402833, -0.13203549494188446, -0.10283541949396369, 0.08154265688204054, 0.008288396221807976, 0.0209992473268249, 0.09641465721234901, -0.0635296396612287, -0.085975899702501, 0.37925303776560826, -0.09620204082092465, -0.23688422992769906, 0.21915109271927277, -0.14373784065385586, -0.18476199498052584, 0.09362312411166616, 0.14614970016175075, 0.18034967485773587, -0.14289927248036793, 0.1501138970076016, -0.060737689299362976, 0.1297644761967848, 0.06893091346137226, 0.01999530999629355, 0.16014631815018382, 0.12199633061858033, 0.13966611208595725, 0.09913418669628897, -0.01072341337306564, -0.07946970853468042, -0.3425169127173166, -0.17379310670128065, -0.0958582819283092, 0.10769211824065936, -0.03499742337372658, -0.16167630073822922, 0.3122812153583865, 0.10390499632791686, 0.20350591545062724, 0.07760840706846941, 0.19601648413478884, 0.1133177487949368, 0.015301303395918056, 0.11126925849786667, 0.20445105390373006, 0.09873082320581177, 0.06165147775874487, -0.19116071515209251, 0.07531492127480903, 0.07181472518418763] |
708.032 | Analytic results on long distance entanglement mediated by gapped spin
chains | We give an analytical description of long distance entanglement (LDE)
mediated by one-dimensional quantum spin chains recently found in numerical
studies. We develop a formalism that allows the computation of LDE for weakly
interacting probes with gapped many-body systems. At zero temperature, a DC
response function determines the ability of the physical system to generate
genuine quantum correlations between the probes. We show that the biquadratic
Heisenberg spin-1 chain is able to produce LDE in the thermodynamical limit and
that the finite antiferromagnetic Heisenberg chain maximally entangles two
spin-1/2 probes very far apart. These results support the current perspective
of using quantum spin chains as entanglers or quantum channels in quantum
information devices.
| quant-ph | we give an analytical description of long distance entanglement lde mediated by onedimensional quantum spin chains recently found in numerical studies we develop a formalism that allows the computation of lde for weakly interacting probes with gapped manybody systems at zero temperature a dc response function determines the ability of the physical system to generate genuine quantum correlations between the probes we show that the biquadratic heisenberg spin1 chain is able to produce lde in the thermodynamical limit and that the finite antiferromagnetic heisenberg chain maximally entangles two spin12 probes very far apart these results support the current perspective of using quantum spin chains as entanglers or quantum channels in quantum information devices | [['we', 'give', 'an', 'analytical', 'description', 'of', 'long', 'distance', 'entanglement', 'lde', 'mediated', 'by', 'onedimensional', 'quantum', 'spin', 'chains', 'recently', 'found', 'in', 'numerical', 'studies', 'we', 'develop', 'a', 'formalism', 'that', 'allows', 'the', 'computation', 'of', 'lde', 'for', 'weakly', 'interacting', 'probes', 'with', 'gapped', 'manybody', 'systems', 'at', 'zero', 'temperature', 'a', 'dc', 'response', 'function', 'determines', 'the', 'ability', 'of', 'the', 'physical', 'system', 'to', 'generate', 'genuine', 'quantum', 'correlations', 'between', 'the', 'probes', 'we', 'show', 'that', 'the', 'biquadratic', 'heisenberg', 'spin1', 'chain', 'is', 'able', 'to', 'produce', 'lde', 'in', 'the', 'thermodynamical', 'limit', 'and', 'that', 'the', 'finite', 'antiferromagnetic', 'heisenberg', 'chain', 'maximally', 'entangles', 'two', 'spin12', 'probes', 'very', 'far', 'apart', 'these', 'results', 'support', 'the', 'current', 'perspective', 'of', 'using', 'quantum', 'spin', 'chains', 'as', 'entanglers', 'or', 'quantum', 'channels', 'in', 'quantum', 'information', 'devices']] | [-0.1872459179989631, 0.253033765335284, -0.07062788112748382, 0.07195238337699587, -0.02160858666211103, -0.21807620045522938, 0.027102360035837793, 0.35311636546280534, -0.24643586558265101, -0.23384914590268338, 0.015124345658783825, -0.32475095123798997, -0.09453210064655054, 0.20745228033768326, 0.09048445159347884, 0.0529442150310605, 0.04012313640400339, 0.04131223502634835, -0.10753927993241995, -0.2140141590374761, 0.2502714262665373, 0.022302622246490048, 0.2861551558269204, 0.05900560513517893, 0.09509009647438615, 0.06913081011982157, 0.08767054764042913, 0.004490764416028968, -0.17650295600836707, 0.07605380565752234, 0.2754592356659406, 0.009028128954062683, 0.18456897117296414, -0.4526979572353967, -0.20291343410046095, 0.08474874756076431, 0.15006673420507427, 0.20669970295466153, -0.02296080770881731, -0.3147639308240166, 0.008104165117627224, -0.22201968087460353, -0.15571322680110486, -0.15572418402303503, -0.0354174324311316, -0.02518530611610205, -0.21497266175456148, 0.10138696940117145, 0.0966709528316175, 0.05766956551841139, -0.0001541874063689575, -0.02349658332151089, 0.002251785355661295, 0.13333466905993369, -0.022022000928120934, 0.0025002664311549964, 0.13733297903337968, -0.11445046518053613, -0.19089223044734877, 0.32325482844844855, -0.08308174979947178, -0.1920975245766144, 0.23539298725627628, -0.13994459882460997, -0.11746859998211462, 0.06857074307178897, 0.08184702521351277, 0.0652530902411492, -0.19348389294361118, 0.09394717617815493, -6.510542326532633e-05, 0.1802582970376856, -0.041986518010468245, 0.13237925259544786, 0.2841880916724954, 0.12280980604741953, 0.062195381850202, 0.21259740713481023, -0.06508531346010556, -0.20459068288812332, -0.2652298478920639, -0.16394241218045236, -0.2590891129493845, 0.121415932386685, -0.0650085625031384, -0.17228495464783855, 0.3705173534118628, 0.16840509691357625, 0.16449595780515697, 0.024613176814519463, 0.2453642328459341, 0.08993369107550851, 0.040819295154538304, 0.04999990791156558, 0.23879981196724473, 0.22538493363087816, 0.055722816750423704, -0.2846230360786472, 0.0011614792665005126, 0.055071495205526594] |
708.0321 | Brown-York Energy and Radial Geodesics | We compare the Brown-York (BY) and the standard Misner-Sharp (MS) quasilocal
energies for round spheres in spherically symmetric space-times from the point
of view of radial geodesics. In particular, we show that the relation between
the BY and MS energies is precisely analogous to that between the
(relativistic) energy E of a geodesic and the effective (Newtonian) energy
E_{eff} appearing in the geodesic equation, thus shedding some light on the
relation between the two. Moreover, for Schwarzschild-like metrics we establish
a general relationship between the BY energy and the geodesic effective
potential which explains and generalises the recently observed connection
between negative BY energy and the repulsive behaviour of geodesics in the
Reissner-Nordstrom metric. We also comment on the extension of this connection
between geodesics and the quasilocal BY energy to regions inside a horizon.
| gr-qc hep-th | we compare the brownyork by and the standard misnersharp ms quasilocal energies for round spheres in spherically symmetric spacetimes from the point of view of radial geodesics in particular we show that the relation between the by and ms energies is precisely analogous to that between the relativistic energy e of a geodesic and the effective newtonian energy e_eff appearing in the geodesic equation thus shedding some light on the relation between the two moreover for schwarzschildlike metrics we establish a general relationship between the by energy and the geodesic effective potential which explains and generalises the recently observed connection between negative by energy and the repulsive behaviour of geodesics in the reissnernordstrom metric we also comment on the extension of this connection between geodesics and the quasilocal by energy to regions inside a horizon | [['we', 'compare', 'the', 'brownyork', 'by', 'and', 'the', 'standard', 'misnersharp', 'ms', 'quasilocal', 'energies', 'for', 'round', 'spheres', 'in', 'spherically', 'symmetric', 'spacetimes', 'from', 'the', 'point', 'of', 'view', 'of', 'radial', 'geodesics', 'in', 'particular', 'we', 'show', 'that', 'the', 'relation', 'between', 'the', 'by', 'and', 'ms', 'energies', 'is', 'precisely', 'analogous', 'to', 'that', 'between', 'the', 'relativistic', 'energy', 'e', 'of', 'a', 'geodesic', 'and', 'the', 'effective', 'newtonian', 'energy', 'e_eff', 'appearing', 'in', 'the', 'geodesic', 'equation', 'thus', 'shedding', 'some', 'light', 'on', 'the', 'relation', 'between', 'the', 'two', 'moreover', 'for', 'schwarzschildlike', 'metrics', 'we', 'establish', 'a', 'general', 'relationship', 'between', 'the', 'by', 'energy', 'and', 'the', 'geodesic', 'effective', 'potential', 'which', 'explains', 'and', 'generalises', 'the', 'recently', 'observed', 'connection', 'between', 'negative', 'by', 'energy', 'and', 'the', 'repulsive', 'behaviour', 'of', 'geodesics', 'in', 'the', 'reissnernordstrom', 'metric', 'we', 'also', 'comment', 'on', 'the', 'extension', 'of', 'this', 'connection', 'between', 'geodesics', 'and', 'the', 'quasilocal', 'by', 'energy', 'to', 'regions', 'inside', 'a', 'horizon']] | [-0.14009975189067148, 0.12683232091022312, -0.12192632477661526, 0.1399638666495405, -0.05994566581729385, -0.08852906699326855, 0.03762176525261667, 0.3364447790025561, -0.21749104308309378, -0.3084815161233699, 0.010517573246249447, -0.3150261423378079, -0.13846680910533501, 0.17881617864800825, -0.034489592445876315, 0.018135835743871415, 0.030303553891954597, 0.0802223811728052, -0.11870172227629357, -0.15532853060264, 0.43486699990376276, 0.08393571472002401, 0.2587553803705507, 0.11777320959501797, 0.12442023944178665, 0.024522338916237157, 0.0014480478026800685, 0.06053485517838487, -0.19055562465509865, 0.1194207467207754, 0.17856101201226313, 0.06430635068013713, 0.19280001898554877, -0.38716757776629596, -0.1976451273386677, 0.12963668550882074, 0.0993802500785225, 0.05425157312183054, -0.05848210039548576, -0.28246142810417546, 0.07018429690420076, -0.1375050810424404, -0.16363729471340777, -0.008557688451751515, 0.086980351102021, 0.04650369444344607, -0.1432186862108884, 0.13354148430409152, 0.08955009496874279, -0.003692418047123485, -0.14108798813971657, -0.028629754982992178, -0.038004600932752645, 0.06768905339003713, 0.13697886837611872, 0.018682965224056883, 0.08174989405950463, -0.07884971131699987, -0.07554769751236394, 0.3742571625927532, -0.08289337171138161, -0.2424390665496941, 0.16254270465837584, -0.1573485381289006, -0.043683133077704245, 0.05625691791927373, 0.13280143844205197, 0.14314577399442593, -0.1598261060745076, 0.14858437264036317, -0.006340237096150371, 0.07007797963041984, 0.14970758297929057, -0.008071636465050418, 0.26055325306952, 0.06486968377915521, 0.0711091049351833, 0.14191716210571703, -0.07940724003991043, -0.14540296221729712, -0.36727452901778396, -0.1995803352980012, -0.15228945618771292, 0.06879983747688433, -0.15509324063712956, -0.11752779313397628, 0.3734517699038541, 0.08143917413738867, 0.22598523897705255, 0.0897635150761171, 0.2529963400490858, 0.07244699126868337, 0.021280196573826727, 0.14283441453654733, 0.3300413512221658, 0.1364605024198277, 0.1018361131246719, -0.24210690271833704, -0.06618855712521407, 0.11718894021749428] |
708.0322 | Harmonic Analysis over adelic spaces | Extending ideas of A.N. Parshin and D.V. Osipov, Harmonic Analysis is
developed for filtered infinite dimensional modules over a ring. We establish
Pontryagin duality, the Fourier inversion formula, Plancherel formula and
Poisson summation formula for all dimensions.
| math.NT math.AC | extending ideas of an parshin and dv osipov harmonic analysis is developed for filtered infinite dimensional modules over a ring we establish pontryagin duality the fourier inversion formula plancherel formula and poisson summation formula for all dimensions | [['extending', 'ideas', 'of', 'an', 'parshin', 'and', 'dv', 'osipov', 'harmonic', 'analysis', 'is', 'developed', 'for', 'filtered', 'infinite', 'dimensional', 'modules', 'over', 'a', 'ring', 'we', 'establish', 'pontryagin', 'duality', 'the', 'fourier', 'inversion', 'formula', 'plancherel', 'formula', 'and', 'poisson', 'summation', 'formula', 'for', 'all', 'dimensions']] | [-0.15753140876925475, 0.020041257058462204, -0.16650759051176342, 0.10238181107765618, -0.11937449944230753, -0.2058413273252144, -0.0035692944216567115, 0.28465440909604767, -0.29272742146575775, -0.14392750740454002, 0.11918083117091777, -0.19276277640381376, -0.180239552883683, 0.25577001857596476, -0.10403124034102704, 0.0013938959423653982, -0.022733224398532027, 0.028328799365742785, -0.12915949674474225, -0.24572927972956285, 0.2769385693292763, -0.0075055678198869165, 0.28615476050086924, 0.029403803555445897, 0.17780134162387332, 0.12214654242317821, -0.12170078723716575, -0.07458166043097908, -0.21407310908811317, 0.18036154539299173, 0.30963448465273186, 0.03724057927123598, 0.18079221558228536, -0.36466042621917016, -0.1332994751330163, 0.12526106353647806, 0.12792878879574002, 0.04025240755967192, 0.0035562964810712918, -0.27142934536410346, 0.07137487544300589, -0.26795442309230566, -0.19380168638166947, -0.11774550332543063, 0.08585751454371053, 0.02972259988687379, -0.3075002162289378, 0.0666004924254643, 0.13472028400723798, 0.16826411919995538, -0.09148903114318445, -0.09826171805931104, 0.017434718339024362, 0.049854301935615575, -0.013384212192298996, -0.04329239585864786, 0.04734904267447623, 0.007125276918609538, -0.17058552731130575, 0.23773406823543278, -0.060757883824408054, -0.19309684419941558, 0.09283814171480166, -0.16241783303888263, -0.15572814761686163, 0.10720768631310076, 0.025716547577365023, 0.1553490710117527, -0.07335964673374956, 0.21937453278302643, -0.105986309489487, 0.022885904710337118, 0.21253312618245143, -0.02767340056094769, 0.07611428709650361, -0.016581603904833663, 0.10639203600412411, 0.202223968037681, -0.07609844832001506, -0.09018258648496624, -0.36220900875491063, -0.27700556165261847, -0.21447722196289515, 0.1156537540640833, -0.15293555054892283, -0.1514644858402175, 0.3489686551730375, 0.029118506381023878, 0.09832713816541473, 0.17701242461397843, 0.26061453536857626, 0.23428272048162446, 0.08477780186394984, 0.014089093505832795, 0.001350034840052595, 0.3697406176376987, 0.05244634000622239, -0.09282732729774874, -0.1360558772686164, 0.36453157945259196] |
708.0323 | Multi-dimensional Numerical Scheme for Resistive Relativistic MHD | The paper describes a new upwind conservative numerical scheme for special
relativistic resistive magnetohydrodynamics with scalar resistivity. The
magnetic field is kept approximately divergence free and the divergence of the
electric field consistent with the electric charge distribution via the method
of Generalized Lagrange Multiplier. The hyperbolic fluxes are computed using
the HLL prescription and the source terms are accounted via the time-splitting
technique. The results of test simulations show that the scheme can handle
equally well both resistive current sheets and shock waves and thus can be a
useful tool for studying phenomena of relativistic astrophysics that involve
both colliding supersonic flows and magnetic reconnection.
| astro-ph | the paper describes a new upwind conservative numerical scheme for special relativistic resistive magnetohydrodynamics with scalar resistivity the magnetic field is kept approximately divergence free and the divergence of the electric field consistent with the electric charge distribution via the method of generalized lagrange multiplier the hyperbolic fluxes are computed using the hll prescription and the source terms are accounted via the timesplitting technique the results of test simulations show that the scheme can handle equally well both resistive current sheets and shock waves and thus can be a useful tool for studying phenomena of relativistic astrophysics that involve both colliding supersonic flows and magnetic reconnection | [['the', 'paper', 'describes', 'a', 'new', 'upwind', 'conservative', 'numerical', 'scheme', 'for', 'special', 'relativistic', 'resistive', 'magnetohydrodynamics', 'with', 'scalar', 'resistivity', 'the', 'magnetic', 'field', 'is', 'kept', 'approximately', 'divergence', 'free', 'and', 'the', 'divergence', 'of', 'the', 'electric', 'field', 'consistent', 'with', 'the', 'electric', 'charge', 'distribution', 'via', 'the', 'method', 'of', 'generalized', 'lagrange', 'multiplier', 'the', 'hyperbolic', 'fluxes', 'are', 'computed', 'using', 'the', 'hll', 'prescription', 'and', 'the', 'source', 'terms', 'are', 'accounted', 'via', 'the', 'timesplitting', 'technique', 'the', 'results', 'of', 'test', 'simulations', 'show', 'that', 'the', 'scheme', 'can', 'handle', 'equally', 'well', 'both', 'resistive', 'current', 'sheets', 'and', 'shock', 'waves', 'and', 'thus', 'can', 'be', 'a', 'useful', 'tool', 'for', 'studying', 'phenomena', 'of', 'relativistic', 'astrophysics', 'that', 'involve', 'both', 'colliding', 'supersonic', 'flows', 'and', 'magnetic', 'reconnection']] | [-0.1497546203927585, 0.1539906369531, -0.058554487228217836, 0.10373695091814471, -0.06525576423923925, -0.14254892591984486, -0.04744799847534489, 0.32742037079384867, -0.25751822287181636, -0.3147677856163596, 0.06055491481565009, -0.2083024387753059, -0.0664475297693708, 0.28576911662547094, 0.024193611448490113, 0.07204720255576144, 0.045652761580949684, -0.042145361370236264, -0.0630216396343455, -0.1590691611065336, 0.3221091324115339, 0.09790562768796247, 0.28300134632912166, 0.06659595949469872, 0.12083696731243213, -0.0470298718538065, -0.04434570325274934, 0.10082502246676188, -0.09075644543410372, 0.04295419383231761, 0.1913360381819624, 0.029983272562945647, 0.2248639833414927, -0.4802113356209307, -0.25319592304141175, -0.004080045379627988, 0.14527301208274263, 0.10504763095446353, -0.08270914937843973, -0.24193913168010284, 0.06118309120032585, -0.18491440987486815, -0.1564397127631138, -0.11734047752172458, -0.07696315360404903, 0.09162808237333764, -0.32351244808359175, 0.12054919517370609, 0.05390625226998895, 0.03533478470448897, -0.0996068900161124, -0.0835321391317642, -0.04058448815902801, 0.060049811045349274, 0.09909311447068522, 0.0670107821626413, 0.1605112287303749, -0.12366812705185334, -0.09717263720318992, 0.3940106861047306, -0.057212387297284915, -0.23202908743735193, 0.1600664770422846, -0.1590487270216229, -0.046411151333299094, 0.17360078563303072, 0.14822081157515915, 0.16099206704365196, -0.14782645374554088, 0.06600228945212878, -0.03261290089982861, 0.0808004941945052, 0.04440548329368093, -0.037808828599633484, 0.24291549072565757, 0.10674478249176282, 0.027028422811472753, 0.10576077417211326, -0.13624710632698997, -0.08632436703301896, -0.3506809909177839, -0.17311642795168566, -0.14647443739275606, 0.009058999011890506, -0.1023226358749594, -0.17944730564793748, 0.3619682205785895, 0.1539490869848655, 0.07818520370484242, -0.016180134141149948, 0.341688479138714, 0.17009572322724192, 0.03519175379132887, 0.1656543268330114, 0.2379456876166481, 0.21253847150474717, 0.139311815313292, -0.26844383118111853, 0.010870822169378682, 0.13024369044282105] |
708.0324 | Transverse Quark Spin Effects and the Flavor Dependence of the
Boer-Mulders Function | The naive time reversal odd (``T-odd'') parton distribution $h_{1}^{\perp}$,
the so-called Boer-Mulders function, for both up ($u$) and down ($d$) quarks is
considered in the diquark spectator model. While the results of different
articles in the literature suggest that the signs of the Boer-Mulders function
in semi-inclusive DIS for both flavors $u$ and $d$ are the same and negative, a
previous calculation in the diquark-spectator model found that
$h_{1}^{\perp(u)}$ and $h_{1}^{\perp(d)}$ have different signs. The flavor
dependence is of significance for the analysis of the azimuthal $\cos(2\phi)$
asymmetries in unpolarized SIDIS and DY-processes, as well as for the overall
physical understanding of the distribution of transversely polarized quarks in
unpolarized nucleons. We find substantial differences with previous work. In
particular we obtain half and first moments of Boer-Mulders function that are
negative over the full range in Bjorken $x$ for both the $u$- and $d$- quarks.
In conjunction with the Collins function we then predict the $\cos(2\phi)$
azimuthal asymmetry for $\pi^{+}$ and $\pi^{-}$ in this framework. We also find
that the Sivers $u$- and $d$- quark are negative and positive respectively. As
a by-product of the formalism, we calculate the chiral-odd but ``T-even''
function $h_{1L}^{\perp}$, which allows us to present a prediction for the
single spin asymmetry $A_{UL}^{\sin(2\phi)}$ for a longitudinally polarized
target in SIDIS.
| hep-ph | the naive time reversal odd todd parton distribution h_1perp the socalled boermulders function for both up u and down d quarks is considered in the diquark spectator model while the results of different articles in the literature suggest that the signs of the boermulders function in semiinclusive dis for both flavors u and d are the same and negative a previous calculation in the diquarkspectator model found that h_1perpu and h_1perpd have different signs the flavor dependence is of significance for the analysis of the azimuthal cos2phi asymmetries in unpolarized sidis and dyprocesses as well as for the overall physical understanding of the distribution of transversely polarized quarks in unpolarized nucleons we find substantial differences with previous work in particular we obtain half and first moments of boermulders function that are negative over the full range in bjorken x for both the u and d quarks in conjunction with the collins function we then predict the cos2phi azimuthal asymmetry for pi and pi in this framework we also find that the sivers u and d quark are negative and positive respectively as a byproduct of the formalism we calculate the chiralodd but teven function h_1lperp which allows us to present a prediction for the single spin asymmetry a_ulsin2phi for a longitudinally polarized target in sidis | [['the', 'naive', 'time', 'reversal', 'odd', 'todd', 'parton', 'distribution', 'h_1perp', 'the', 'socalled', 'boermulders', 'function', 'for', 'both', 'up', 'u', 'and', 'down', 'd', 'quarks', 'is', 'considered', 'in', 'the', 'diquark', 'spectator', 'model', 'while', 'the', 'results', 'of', 'different', 'articles', 'in', 'the', 'literature', 'suggest', 'that', 'the', 'signs', 'of', 'the', 'boermulders', 'function', 'in', 'semiinclusive', 'dis', 'for', 'both', 'flavors', 'u', 'and', 'd', 'are', 'the', 'same', 'and', 'negative', 'a', 'previous', 'calculation', 'in', 'the', 'diquarkspectator', 'model', 'found', 'that', 'h_1perpu', 'and', 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'positive', 'respectively', 'as', 'a', 'byproduct', 'of', 'the', 'formalism', 'we', 'calculate', 'the', 'chiralodd', 'but', 'teven', 'function', 'h_1lperp', 'which', 'allows', 'us', 'to', 'present', 'a', 'prediction', 'for', 'the', 'single', 'spin', 'asymmetry', 'a_ulsin2phi', 'for', 'a', 'longitudinally', 'polarized', 'target', 'in', 'sidis']] | [-0.07023508103364813, 0.19327259178140332, -0.13436975826487121, 0.1411344439151608, -0.03180216867033215, -0.06684074287990197, 0.03302139108002718, 0.3944596334050099, -0.20517217960829537, -0.22128941029576318, -0.06581399993294673, -0.32010346694878533, -0.04754605111222537, 0.12202234300784767, 0.08506985922743167, 0.06573183016097617, 0.022069423415121577, -0.018176596955440584, -0.08851196611122716, -0.21322071176643173, 0.3488415319760818, -0.044941015279896204, 0.2537922814621457, 0.17357367247875247, 0.06103162017174154, 0.10201544847915925, -0.08252193078265659, -0.05654449108101073, -0.07741734998666548, 0.02828479894836034, 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708.0325 | On the multi-spin magnon and spike solutions from membranes | Recently important classes of solitonic string solutions were obtained -
giant magnons and single spikes. In previous study we showed the existence of
giant magnon-like membrane solutions and studied their properties. In this
paper we investigate classical rotating membranes representing analog of a
specific class of string spiky solutions. Using the reduction to the
Neumann-Rosochatius integrable system we find analog of the string single spike
solutions. In contrast to the magnon-like solutions, this case is characterized
with finite difference of energy and ``winding number'' and finite spins as
well.
| hep-th | recently important classes of solitonic string solutions were obtained giant magnons and single spikes in previous study we showed the existence of giant magnonlike membrane solutions and studied their properties in this paper we investigate classical rotating membranes representing analog of a specific class of string spiky solutions using the reduction to the neumannrosochatius integrable system we find analog of the string single spike solutions in contrast to the magnonlike solutions this case is characterized with finite difference of energy and winding number and finite spins as well | [['recently', 'important', 'classes', 'of', 'solitonic', 'string', 'solutions', 'were', 'obtained', 'giant', 'magnons', 'and', 'single', 'spikes', 'in', 'previous', 'study', 'we', 'showed', 'the', 'existence', 'of', 'giant', 'magnonlike', 'membrane', 'solutions', 'and', 'studied', 'their', 'properties', 'in', 'this', 'paper', 'we', 'investigate', 'classical', 'rotating', 'membranes', 'representing', 'analog', 'of', 'a', 'specific', 'class', 'of', 'string', 'spiky', 'solutions', 'using', 'the', 'reduction', 'to', 'the', 'neumannrosochatius', 'integrable', 'system', 'we', 'find', 'analog', 'of', 'the', 'string', 'single', 'spike', 'solutions', 'in', 'contrast', 'to', 'the', 'magnonlike', 'solutions', 'this', 'case', 'is', 'characterized', 'with', 'finite', 'difference', 'of', 'energy', 'and', 'winding', 'number', 'and', 'finite', 'spins', 'as', 'well']] | [-0.1819734172260558, 0.10286785776472905, -0.026001108561600136, 0.08229382419085596, -0.04951456877064298, -0.10893521657404066, 0.016535648799617775, 0.3062093659589829, -0.2087017544227737, -0.29245918782808905, 0.09598513476719911, -0.30049215377816424, -0.16685600635934283, 0.15897172461898829, -0.06075521305584433, 0.06642509070860053, 0.02656628619561988, 0.053057685724607756, -0.05850976396521384, -0.19662632074588063, 0.3048116978711319, -0.023544231493195348, 0.29438141782090743, -0.021251773292368107, 0.1014701417985965, -0.034294632115316664, 0.025248452841134913, 0.03462553667751225, -0.1902755637129303, 0.09467650384811516, 0.2397349993777673, 0.028574349109972405, 0.1630170877919723, -0.45925444724376907, -0.21917093161027879, 0.12659306606193158, 0.21716631132982334, 0.18313974522276444, -0.05903750168297186, -0.2392559571546206, 0.11315197047290647, -0.16155790201578799, -0.18643850470702586, -0.04982004684015093, 0.03824855558129705, 0.09739442591671832, -0.16723938324404033, 0.08927538271316073, 0.08366937114227437, 0.022283844538668, -0.11427915584168989, -0.06880092823385811, -0.007332289848074486, 0.0832256547133015, 0.10676136187182485, 0.0034785443911625243, 0.07330670171226798, -0.13861677897776561, -0.12699781279397113, 0.30087796540994366, -0.09365178778799335, -0.19780476488681, 0.19980129511730577, -0.13961442320776934, -0.11802466679662095, 0.10251314761857926, 0.11317280014786361, 0.1685778236715123, -0.12906258197670634, 0.11327502337570133, -0.029425554363776675, 0.1544721540783278, 0.1606578358914703, 0.08691496971401978, 0.2499359370928935, 0.17955591935473916, -0.00777390112423084, 0.24261893205006013, -0.06998828597319186, -0.13335474523906174, -0.2741951508108865, -0.11572039249585941, -0.1590413164178079, 0.09684652409685607, -0.06415916632117429, -0.2304695169547234, 0.3925705121999437, 0.0357091317519834, 0.18637194793502038, 0.027603538272987036, 0.18902803814588962, 0.13639619696054564, 0.03604316034894013, 0.0687779583835932, 0.22051825319332155, 0.1627773733370387, 0.12280478699937124, -0.2682520217230459, -0.07074712585149841, 0.10748840204905719] |
708.0326 | Holographic Nuclear Physics | We analyze the phases of the Sakai-Sugimoto model at finite temperature and
baryon chemical potential. Baryonic matter is represented either by 4-branes in
the 8-branes or by strings stretched from the 8-branes to the horizon. We find
the explicit configurations and use them to determine the phase diagram and
equation of state of the model. The 4-brane configuration (nuclear matter) is
always preferred to the string configuration (quark matter), and the latter is
also unstable to density fluctuations. In the deconfined phase the phase
diagram has three regions corresponding to the vacuum, quark-gluon plasma, and
nuclear matter, with a first-order and a second-order phase transition
separating the phases. We find that for a large baryon number density, and at
low temperatures, the dominant phase has broken chiral symmetry. This is in
qualitative agreement with studies of QCD at high density.
| hep-th hep-ph | we analyze the phases of the sakaisugimoto model at finite temperature and baryon chemical potential baryonic matter is represented either by 4branes in the 8branes or by strings stretched from the 8branes to the horizon we find the explicit configurations and use them to determine the phase diagram and equation of state of the model the 4brane configuration nuclear matter is always preferred to the string configuration quark matter and the latter is also unstable to density fluctuations in the deconfined phase the phase diagram has three regions corresponding to the vacuum quarkgluon plasma and nuclear matter with a firstorder and a secondorder phase transition separating the phases we find that for a large baryon number density and at low temperatures the dominant phase has broken chiral symmetry this is in qualitative agreement with studies of qcd at high density | [['we', 'analyze', 'the', 'phases', 'of', 'the', 'sakaisugimoto', 'model', 'at', 'finite', 'temperature', 'and', 'baryon', 'chemical', 'potential', 'baryonic', 'matter', 'is', 'represented', 'either', 'by', '4branes', 'in', 'the', '8branes', 'or', 'by', 'strings', 'stretched', 'from', 'the', '8branes', 'to', 'the', 'horizon', 'we', 'find', 'the', 'explicit', 'configurations', 'and', 'use', 'them', 'to', 'determine', 'the', 'phase', 'diagram', 'and', 'equation', 'of', 'state', 'of', 'the', 'model', 'the', '4brane', 'configuration', 'nuclear', 'matter', 'is', 'always', 'preferred', 'to', 'the', 'string', 'configuration', 'quark', 'matter', 'and', 'the', 'latter', 'is', 'also', 'unstable', 'to', 'density', 'fluctuations', 'in', 'the', 'deconfined', 'phase', 'the', 'phase', 'diagram', 'has', 'three', 'regions', 'corresponding', 'to', 'the', 'vacuum', 'quarkgluon', 'plasma', 'and', 'nuclear', 'matter', 'with', 'a', 'firstorder', 'and', 'a', 'secondorder', 'phase', 'transition', 'separating', 'the', 'phases', 'we', 'find', 'that', 'for', 'a', 'large', 'baryon', 'number', 'density', 'and', 'at', 'low', 'temperatures', 'the', 'dominant', 'phase', 'has', 'broken', 'chiral', 'symmetry', 'this', 'is', 'in', 'qualitative', 'agreement', 'with', 'studies', 'of', 'qcd', 'at', 'high', 'density']] | [-0.12940090058670778, 0.25948381827994516, -0.1306573384391543, 0.06948835857994189, -0.022375805800714132, -0.07838601789636804, 0.0637137152154797, 0.32307947924626723, -0.2009606106872005, -0.27627902030944823, 0.06351720572731989, -0.30013878018528756, -0.037774717436903825, 0.045868891539118654, 0.055520636844448745, 0.01588519594765135, -0.06134833785638746, 0.06606013890414034, -0.11907148944769037, -0.18516233408258165, 0.3336318147501775, 0.012095340018692826, 0.27891296304629315, 0.07068811021079975, 0.0674904025417553, -0.05743090096595032, 0.024873215069861284, 0.030825948093219528, -0.16303188003091365, -0.01777668553071895, 0.22795199338537975, 0.03139254950219765, 0.12006374605532204, -0.4241820823933397, -0.22452296115557796, 0.1503288154074523, 0.13271109716900226, 0.18070661703157903, -0.06754109320650709, -0.26943356598328266, 0.06870566394812028, -0.18174661304136472, -0.16683438224717975, -0.0974296468942027, 0.006388490058348647, -0.029698196153289506, -0.249086028061408, 0.12282434472893199, -0.0322061026119627, -0.013158489128441683, -0.049881979986093936, -0.10951931206176856, -0.08414731901471637, 0.05695051550366251, 0.05251503683061206, 0.09804572403830077, 0.1418674986784546, -0.21248215962301142, -0.04423829210323415, 0.3981774697878531, -0.05395771267025599, -0.10237482648808509, 0.17493145375046878, -0.1860287013997939, -0.11714983047984008, 0.1693012509561543, 0.10596246257357832, 0.07342812224690404, -0.10032682531579797, 0.10656076950648899, 0.01729416411586239, 0.17695048603511948, 0.04475148656804647, 0.008517893639457595, 0.3168440974384014, 0.16928209619197462, 0.02037656776873129, 0.1422927977251155, -0.06711202926588677, -0.1413692819520033, -0.33890816647825495, -0.0962936751511214, -0.16346841345408133, -0.043820663345312434, -0.12300786405862059, -0.18096990839445165, 0.39392774276036235, 0.08595118114691494, 0.20140267269951956, -0.03519831571528422, 0.30006633978669667, 0.10643582219657088, 0.012095448028828417, 0.07979999662576509, 0.26533501210090304, 0.18040287368016183, 0.13556995055904345, -0.2959624557182126, -0.01764712987933308, 0.08665345993524949] |
708.0327 | Transition probabilities in the U(6) limit of the Symplectic Interacting
Vector Boson Model | The tensor properties of the algebra generators and the basis are determined
in respect to the reduction chain $Sp(12,R) \supset U(6)% \supset U(3)\otimes
U(2)\supset O(3)\otimes (U(1)\otimes U(1))$, which defines one of the dynamical
symmetries of the Interacting Vector Boson Model. The action of the Sp(12,R)
generators as transition operators between the basis states is presented.
Analytical expressions for their matrix elements in the symmetry-adapted basis
are obtained. As an example the matrix elements of the E2 transition operator
between collective states of the ground band are determined and compared with
the experimental data for the corresponding intraband transition probabilities
of nuclei in the actinide and rare earth region. On the basis of this
application the important role of the symplectic extension of the model is
analyzed.
| nucl-th | the tensor properties of the algebra generators and the basis are determined in respect to the reduction chain sp12r supset u6 supset u3otimes u2supset o3otimes u1otimes u1 which defines one of the dynamical symmetries of the interacting vector boson model the action of the sp12r generators as transition operators between the basis states is presented analytical expressions for their matrix elements in the symmetryadapted basis are obtained as an example the matrix elements of the e2 transition operator between collective states of the ground band are determined and compared with the experimental data for the corresponding intraband transition probabilities of nuclei in the actinide and rare earth region on the basis of this application the important role of the symplectic extension of the model is analyzed | [['the', 'tensor', 'properties', 'of', 'the', 'algebra', 'generators', 'and', 'the', 'basis', 'are', 'determined', 'in', 'respect', 'to', 'the', 'reduction', 'chain', 'sp12r', 'supset', 'u6', 'supset', 'u3otimes', 'u2supset', 'o3otimes', 'u1otimes', 'u1', 'which', 'defines', 'one', 'of', 'the', 'dynamical', 'symmetries', 'of', 'the', 'interacting', 'vector', 'boson', 'model', 'the', 'action', 'of', 'the', 'sp12r', 'generators', 'as', 'transition', 'operators', 'between', 'the', 'basis', 'states', 'is', 'presented', 'analytical', 'expressions', 'for', 'their', 'matrix', 'elements', 'in', 'the', 'symmetryadapted', 'basis', 'are', 'obtained', 'as', 'an', 'example', 'the', 'matrix', 'elements', 'of', 'the', 'e2', 'transition', 'operator', 'between', 'collective', 'states', 'of', 'the', 'ground', 'band', 'are', 'determined', 'and', 'compared', 'with', 'the', 'experimental', 'data', 'for', 'the', 'corresponding', 'intraband', 'transition', 'probabilities', 'of', 'nuclei', 'in', 'the', 'actinide', 'and', 'rare', 'earth', 'region', 'on', 'the', 'basis', 'of', 'this', 'application', 'the', 'important', 'role', 'of', 'the', 'symplectic', 'extension', 'of', 'the', 'model', 'is', 'analyzed']] | [-0.13379899381473662, 0.17263316221546848, -0.015980438992381097, 0.06320016643125564, -0.0019929459895938633, -0.07068936716485769, 0.029232118345797063, 0.34562696221470834, -0.23409950098395346, -0.22590483719902113, 0.07143821417633445, -0.3165305666029453, -0.1265486622788012, 0.12731331061199308, 0.05156587026244961, 0.026918871961534023, 0.024335804592818023, 0.09986095711961389, -0.12882178439665587, -0.12405722572281956, 0.31340739026665687, 0.05896468761190772, 0.28399429108202456, -0.001178176149725914, 0.09355609025154263, 0.008871688395738602, 0.019989887200295924, -0.09750656362250447, -0.09102857235260307, 0.1404542752588168, 0.24554273417592049, 0.0703758444301784, 0.13547940827161073, -0.41073085632175205, -0.11692083544284106, 0.10302831458672881, 0.12926188122108578, 0.07692858180683106, -0.029180773607455194, -0.3343778958469629, 0.036247576534748076, -0.22123006352782248, -0.15324653276056052, -0.09217119433544577, 0.037263083821162585, 0.004823038078844547, -0.288136923879385, 0.05579322874173522, 0.033525365332840014, 0.11312622071802617, -0.10303800646215677, -0.1700721238255501, -0.1029622881859541, 0.11976346485689282, 0.056708778159692885, 0.011203549459576606, 0.12071286470070482, -0.09599192281998693, -0.12131982811167837, 0.4270181488394737, -0.03396705843321979, -0.20033015638729557, 0.11346552462503313, -0.135535603933502, -0.11975691108033061, 0.11384049934148789, 0.12271832291036844, 0.10198596370592714, -0.11355812786519527, 0.16529133927682416, -0.04963895339146256, 0.08377542528882623, -0.022996192563325166, 0.0789655437769834, 0.14458893358893693, 0.14264039986021818, -8.826158195734024e-05, 0.10462900821492076, -0.01675206501595676, -0.13413343620300294, -0.3441006404608488, -0.1735599020384252, -0.1770008044987917, 0.029216604374349118, -0.0988423309220234, -0.14869286444038152, 0.42588404889404774, 0.08999332355033403, 0.20360037871124223, -0.010790452458895743, 0.18763148203864694, 0.15294651080854238, 0.07258452582918108, 0.009975399441085756, 0.2277112480495125, 0.2076311020348221, -0.01669035743549466, -0.2737133276462555, 0.01784947917610407, 0.15710123509168625] |
708.0328 | Adaptive thresholds for neural networks with synaptic noise | The inclusion of a macroscopic adaptive threshold is studied for the
retrieval dynamics of both layered feedforward and fully connected neural
network models with synaptic noise. These two types of architectures require a
different method to be solved numerically. In both cases it is shown that, if
the threshold is chosen appropriately as a function of the cross-talk noise and
of the activity of the stored patterns, adapting itself automatically in the
course of the recall process, an autonomous functioning of the network is
guaranteed. This self-control mechanism considerably improves the quality of
retrieval, in particular the storage capacity, the basins of attraction and the
mutual information content.
| cond-mat.dis-nn cond-mat.stat-mech | the inclusion of a macroscopic adaptive threshold is studied for the retrieval dynamics of both layered feedforward and fully connected neural network models with synaptic noise these two types of architectures require a different method to be solved numerically in both cases it is shown that if the threshold is chosen appropriately as a function of the crosstalk noise and of the activity of the stored patterns adapting itself automatically in the course of the recall process an autonomous functioning of the network is guaranteed this selfcontrol mechanism considerably improves the quality of retrieval in particular the storage capacity the basins of attraction and the mutual information content | [['the', 'inclusion', 'of', 'a', 'macroscopic', 'adaptive', 'threshold', 'is', 'studied', 'for', 'the', 'retrieval', 'dynamics', 'of', 'both', 'layered', 'feedforward', 'and', 'fully', 'connected', 'neural', 'network', 'models', 'with', 'synaptic', 'noise', 'these', 'two', 'types', 'of', 'architectures', 'require', 'a', 'different', 'method', 'to', 'be', 'solved', 'numerically', 'in', 'both', 'cases', 'it', 'is', 'shown', 'that', 'if', 'the', 'threshold', 'is', 'chosen', 'appropriately', 'as', 'a', 'function', 'of', 'the', 'crosstalk', 'noise', 'and', 'of', 'the', 'activity', 'of', 'the', 'stored', 'patterns', 'adapting', 'itself', 'automatically', 'in', 'the', 'course', 'of', 'the', 'recall', 'process', 'an', 'autonomous', 'functioning', 'of', 'the', 'network', 'is', 'guaranteed', 'this', 'selfcontrol', 'mechanism', 'considerably', 'improves', 'the', 'quality', 'of', 'retrieval', 'in', 'particular', 'the', 'storage', 'capacity', 'the', 'basins', 'of', 'attraction', 'and', 'the', 'mutual', 'information', 'content']] | [-0.14013334310126352, 0.0972395928511105, -0.05263308386094178, 0.058892538268267985, -0.016012489366672794, -0.14747742986461768, 0.05554268298739636, 0.3818309186802556, -0.3142207676794863, -0.29491447643549357, 0.09316548191256718, -0.2360694803883908, -0.20930481057277778, 0.1597916950876997, -0.08710755212706756, 0.06599051914074355, 0.06902427475304446, 0.08046037141833005, -0.007894412670995936, -0.28928313570321296, 0.31302953558042645, 0.08478434883161551, 0.3361519017101576, 0.031993856638480256, 0.1205232839393257, -0.018960234933291322, -0.0043167942074230975, 0.006428284140602719, -0.06332032291329934, 0.1282732727057818, 0.24581982295991042, 0.1649379219031996, 0.28135971395143616, -0.4201698402908665, -0.24236899052091218, 0.11300646911237251, 0.1283397358040222, 0.09408320895508276, -0.01291454560123384, -0.2753303163098516, 0.08792119110175581, -0.16393259407400532, -0.04692887795304328, -0.08142424267889173, -0.0038194828451162685, 0.0631106785170872, -0.29822884903599817, 0.03580364529948889, 0.10772415802434639, 0.03307789804508771, -0.05654008689129518, -0.0704656756112214, -0.04159744853516006, 0.1941742695980119, -0.019730012476092844, 0.006790463531312223, 0.15424510734845642, -0.19139336754731764, -0.09493788809481042, 0.3369232830893317, -0.021240388733093387, -0.2282377563468698, 0.16269623107035402, -0.07866930126867912, -0.08258865675371554, 0.1403178317640494, 0.16804525100074155, 0.10090617187476407, -0.18852963286486488, 0.03789908783262406, 0.01758792875679555, 0.19751014177583986, 0.0500410671380383, 0.04100315070590349, 0.15531310168336387, 0.2512994563806354, 0.06103810491536192, 0.15196630788300858, -0.0843338959567956, -0.10932511146421786, -0.24503309070132673, -0.10286336800480192, -0.18800832767522446, -0.025033257022086117, -0.11148220028620993, -0.15160954330645768, 0.4160661533543909, 0.16256692210488297, 0.19248409582414078, 0.05356754804961383, 0.3185926699079573, 0.10100674444994959, 0.09318058836463562, 0.07242988984324727, 0.23163741765785273, 0.08849635999003011, 0.14606495266262856, -0.23789720449389684, 0.12530947905206294, 0.03543410486869376] |
708.0329 | The Central Limit Theorem for the Smoluchovski Coagulation Model | The general model of coagulation is considered.
For basic classes of unbounded coagulation kernels the central limit theorem
(CLT) is obtained for the fluctuations around the dynamic law of large numbers
(LLN). A rather precise rate of convergence is given both for LLN and CLT.
| math.PR math-ph math.MP | the general model of coagulation is considered for basic classes of unbounded coagulation kernels the central limit theorem clt is obtained for the fluctuations around the dynamic law of large numbers lln a rather precise rate of convergence is given both for lln and clt | [['the', 'general', 'model', 'of', 'coagulation', 'is', 'considered', 'for', 'basic', 'classes', 'of', 'unbounded', 'coagulation', 'kernels', 'the', 'central', 'limit', 'theorem', 'clt', 'is', 'obtained', 'for', 'the', 'fluctuations', 'around', 'the', 'dynamic', 'law', 'of', 'large', 'numbers', 'lln', 'a', 'rather', 'precise', 'rate', 'of', 'convergence', 'is', 'given', 'both', 'for', 'lln', 'and', 'clt']] | [-0.1418977822487553, 0.09015390741535359, -0.09194791888197264, 0.15866368060879824, 0.02544644537071387, -0.1264004867006507, 0.044532597147756155, 0.236048364556498, -0.26221331294832956, -0.22950807561477024, 0.14437148357845014, -0.23228463244934877, -0.013445082927743594, 0.23472403072131176, -0.09199082829679052, 0.10099712941381667, 0.041626863316115405, 0.016552090386135712, 0.02808178337549584, -0.18043783938305247, 0.31783494491957953, 0.05742654653473033, 0.25421799150192076, 0.06134319096648445, 0.09795866266099942, 0.02746801483962271, -0.02111764136287901, 0.0056049395352602005, -0.16068832734599708, 0.15057181631111435, 0.19425220741411775, 0.04759749822939436, 0.32487177749474844, -0.36645985167059636, -0.18130592788673108, 0.13768060019550224, 0.11315964263760381, 0.0764326107811131, -0.03083818316873577, -0.21840538945462967, 0.150796474236995, -0.18659943929976888, -0.21607391374806564, -0.0548636002259122, 0.09959803699619241, 0.13875976564983528, -0.39215097775061925, 0.17720533361037571, 0.17762213815003633, 0.038199240093429884, -0.04030029885470867, -0.07956693952437491, 0.006202350225713518, 0.1310241050293876, 0.06429538114462048, -0.057757392784373626, 0.17958458699285984, -0.1328846603528493, -0.03480695750978258, 0.34897796842787, -0.06072013746533129, -0.19560834790269535, 0.17795880277537637, -0.2095026204052071, -0.1844608817870418, 0.14447991512715816, 0.16694536347770028, 0.17007390231026673, -0.16443781080759234, 0.12775608834991645, -0.07009161753683454, 0.09442266279624568, 0.09905347207354175, 0.02700924403163501, 0.12769775920444065, 0.19491270548767514, 0.07404573753269182, 0.15295752419365777, -0.05514023610287243, -0.1908636168266336, -0.3439078129000134, -0.12118903363330497, -0.24040032161606684, 0.09073811932984326, -0.2523946290004662, -0.1776835887796349, 0.26924742203619745, 0.09635002760527035, 0.15045391584022177, 0.2125525963285731, 0.2120427596486277, 0.22289118588798576, 0.0636765490182572, 0.08960446145178544, 0.16752258893102406, 0.220799347696205, 0.15044110829217566, -0.10748080249565344, 0.09260959746316075, 0.15676784467779928] |
708.033 | Sub-Shot-Noise Magnetometry with a Correlated Spin-Relaxation Dominated
Alkali-Metal Vapor | Spin noise sets fundamental limits to the precision of measurements using
spin-polarized atomic vapors, such as performed with sensitive atomic
magnetometers. Spin squeezing offers the possibility to extend the measurement
precision beyond the standard quantum limit of uncorrelated atoms. Contrary to
the current understanding, we show that even in the presence of spin
relaxation, spin squeezing can lead to a significant reduction of spin noise,
and hence an increase in magnetometric sensitivity, for a long measurement
time. This is the case when correlated spin relaxation due to binary
alkali-atom collisions dominates independently acting decoherence processes.
| physics.atom-ph | spin noise sets fundamental limits to the precision of measurements using spinpolarized atomic vapors such as performed with sensitive atomic magnetometers spin squeezing offers the possibility to extend the measurement precision beyond the standard quantum limit of uncorrelated atoms contrary to the current understanding we show that even in the presence of spin relaxation spin squeezing can lead to a significant reduction of spin noise and hence an increase in magnetometric sensitivity for a long measurement time this is the case when correlated spin relaxation due to binary alkaliatom collisions dominates independently acting decoherence processes | [['spin', 'noise', 'sets', 'fundamental', 'limits', 'to', 'the', 'precision', 'of', 'measurements', 'using', 'spinpolarized', 'atomic', 'vapors', 'such', 'as', 'performed', 'with', 'sensitive', 'atomic', 'magnetometers', 'spin', 'squeezing', 'offers', 'the', 'possibility', 'to', 'extend', 'the', 'measurement', 'precision', 'beyond', 'the', 'standard', 'quantum', 'limit', 'of', 'uncorrelated', 'atoms', 'contrary', 'to', 'the', 'current', 'understanding', 'we', 'show', 'that', 'even', 'in', 'the', 'presence', 'of', 'spin', 'relaxation', 'spin', 'squeezing', 'can', 'lead', 'to', 'a', 'significant', 'reduction', 'of', 'spin', 'noise', 'and', 'hence', 'an', 'increase', 'in', 'magnetometric', 'sensitivity', 'for', 'a', 'long', 'measurement', 'time', 'this', 'is', 'the', 'case', 'when', 'correlated', 'spin', 'relaxation', 'due', 'to', 'binary', 'alkaliatom', 'collisions', 'dominates', 'independently', 'acting', 'decoherence', 'processes']] | [-0.11245695276087836, 0.2474003018972182, -0.010865320914768075, 0.026790833473205565, 0.01789316393827137, -0.12319228928536177, 0.0669211925914217, 0.33968502698760283, -0.2779566260054708, -0.2712121642684858, 0.05123272348734501, -0.2800898820897074, -0.030910928312100863, 0.22812248984057654, -0.003580256159368314, 0.06238141464755723, 0.0501106637088876, -0.017308477616231693, -0.10389379544281646, -0.2171644466144866, 0.2291743761247122, 0.09187644405265975, 0.28623728005117494, 0.06445772796869279, 0.1059178622611063, 0.07827768256691725, 0.02076223590166161, -0.017073555369126168, -0.07419464556587627, 0.054192984878931094, 0.2528317717908833, -0.010250572742600191, 0.18855438271635458, -0.4503275211508337, -0.19238768366998749, 0.1318578097638429, 0.1313916570163871, 0.21787272945634628, -0.013832521481488488, -0.27465886960271746, -0.021554067672083253, -0.17417120576689119, -0.136388990905528, -0.13976863594235558, 0.02018706277012825, -0.013068492994888832, -0.28816506816564424, 0.1350983769081435, 0.12872496100240632, 0.04260807163817318, -0.01932217056470874, -0.09951477630161926, 0.02960448708924416, 0.07593130457404952, 0.014024009714270697, 0.05339688283550602, 0.2318620008220406, -0.12548979524596546, -0.17995219958063804, 0.3515895464659767, -0.14366535591451746, -0.1802336289498367, 0.2089060489186331, -0.20947425436522615, -0.0985519428909021, 0.11757406660992849, 0.148313516211745, 0.058334016084278885, -0.1317847928897735, 0.041032399579662045, 0.03391735792944306, 0.22113695200532674, 0.0865171293041816, 0.16543850324263698, 0.24106643673914827, 0.21684532218220595, 0.12190655576996505, 0.11735408221812625, -0.17524523701714842, -0.09104011236739001, -0.2127758463648589, -0.1295723402186444, -0.2098066351033355, 0.14633293643985923, -0.051633844279383896, -0.08391783433035016, 0.34593482115060875, 0.2215703772527999, 0.15379190104768464, -0.03235414546767348, 0.3146397390647938, 0.12454253731932687, 0.06879703151797385, -0.01548207085089464, 0.2900570619263147, 0.21898188841970342, 0.053123770487543784, -0.3278798705113954, 0.07829093658610393, -0.08782170040434913] |
708.0331 | Notes on the geometry of space of polynomials | We show that the symmetric injective tensor product space
$\hat{\otimes}_{n,s,\epsilon}E$ is not complex strictly convex if E is a
complex Banach space of $\dim E \ge 2$ and if $n\ge 2$ holds. It is also
reproved that $\ell_\infty$ is finitely represented in
$\hat{\otimes}_{n,s,\epsilon}E$ if E is infinite dimensional and if $n\ge 2$
holds, which was proved in the other way by Dineen.
| math.FA | we show that the symmetric injective tensor product space hatotimes_nsepsilone is not complex strictly convex if e is a complex banach space of dim e ge 2 and if nge 2 holds it is also reproved that ell_infty is finitely represented in hatotimes_nsepsilone if e is infinite dimensional and if nge 2 holds which was proved in the other way by dineen | [['we', 'show', 'that', 'the', 'symmetric', 'injective', 'tensor', 'product', 'space', 'hatotimes_nsepsilone', 'is', 'not', 'complex', 'strictly', 'convex', 'if', 'e', 'is', 'a', 'complex', 'banach', 'space', 'of', 'dim', 'e', 'ge', '2', 'and', 'if', 'nge', '2', 'holds', 'it', 'is', 'also', 'reproved', 'that', 'ell_infty', 'is', 'finitely', 'represented', 'in', 'hatotimes_nsepsilone', 'if', 'e', 'is', 'infinite', 'dimensional', 'and', 'if', 'nge', '2', 'holds', 'which', 'was', 'proved', 'in', 'the', 'other', 'way', 'by', 'dineen']] | [-0.12184964226148391, 0.2001441489684127, -0.03312265847699117, 0.06635833426055072, -0.048379143857854905, -0.22466600974390316, -0.12145709625240099, 0.4273389943449174, -0.312306051663423, -0.14259605267542905, 0.1081310252982618, -0.28615951098371456, -0.18783537089682611, 0.18956496782790302, -0.1080976626046507, -0.0714659939630557, 0.05631192325282905, 0.14775596489593135, -0.047478964007696356, -0.3412697660673599, 0.38116028477137875, -0.11603170671200348, 0.15365972092091026, 0.08609625060205996, 0.1140242021578222, 0.04562340600226643, 0.03288034664593258, 0.05117213853804584, -0.12123759115490691, 0.06710296882892627, 0.2975548494102086, 0.18347695488798416, 0.2500295418677694, -0.33509549103929837, -0.16814762297070632, 0.28293501966143564, 0.1276060236396931, -0.1033864556042225, -0.003775110819487501, -0.21778855128687316, 0.21011034880717427, -0.12685499381337126, -0.1492673891470215, -0.07709758604040086, 0.2110329055053703, -0.07143406019846009, -0.33970153196793745, 0.036032274045282975, 0.2156685756172164, 0.008669320115093457, -0.08096507415806843, -0.08849602158702279, -0.12335267822431811, 0.028870414808329383, -0.07441430627684092, 0.1332464344104973, 0.04199627630404686, -0.009788177644669166, -0.08932051012860769, 0.37030864828976534, -0.02777592391091383, -0.2860605515918489, 0.14289021432020907, -0.25985597729903914, -0.1354884306852848, 0.12019408966209423, 0.02085556913861784, 0.16314527021436873, -0.015093424215407695, 0.32388050868215384, -0.14704827934560777, 0.15119472212923724, 0.10629062488738258, -0.05045389224601499, 0.05213437134684142, 0.11445108807440531, 0.17081624773425697, 0.09074400581707547, 0.01742621119749748, 0.07596433273185108, -0.3256588347129903, -0.1934495119662103, -0.25868059211742067, 0.19734385642800203, -0.0836185644202179, -0.0885446452677755, 0.25100802679119977, -0.01136809460112383, 0.12214153288504488, 0.06723074308967501, 0.24880230995052952, 0.08538509850090338, 0.002521544213454097, 0.16828470936802736, 0.15941812404257766, 0.13540768680573143, -0.044131017179559855, -0.040477414205038954, 0.02865209518063624, 0.1285524932920175] |
708.0332 | Coherent Dark Resonances in Atomic Barium | The observation of dark-resonances in the two-electron atom barium and their
influence on optical cooling is reported. In heavy alkali earth atoms, i.e.
barium or radium, optical cooling can be achieved using n^1S_0-n^1P_1
transitions and optical repumping from the low lying n^1D_2 and n^3D_{1,2}
states to which the atoms decay with a high branching ratio. The cooling and
repumping transition have a common upper state. This leads to dark resonances
and hence make optical cooling less inefficient. The experimental observations
can be accurately modelled by the optical Bloch equations. Comparison with
experimental results allows us to extract relevant parameters for effective
laser cooling of barium.
| physics.atom-ph | the observation of darkresonances in the twoelectron atom barium and their influence on optical cooling is reported in heavy alkali earth atoms ie barium or radium optical cooling can be achieved using n1s_0n1p_1 transitions and optical repumping from the low lying n1d_2 and n3d_12 states to which the atoms decay with a high branching ratio the cooling and repumping transition have a common upper state this leads to dark resonances and hence make optical cooling less inefficient the experimental observations can be accurately modelled by the optical bloch equations comparison with experimental results allows us to extract relevant parameters for effective laser cooling of barium | [['the', 'observation', 'of', 'darkresonances', 'in', 'the', 'twoelectron', 'atom', 'barium', 'and', 'their', 'influence', 'on', 'optical', 'cooling', 'is', 'reported', 'in', 'heavy', 'alkali', 'earth', 'atoms', 'ie', 'barium', 'or', 'radium', 'optical', 'cooling', 'can', 'be', 'achieved', 'using', 'n1s_0n1p_1', 'transitions', 'and', 'optical', 'repumping', 'from', 'the', 'low', 'lying', 'n1d_2', 'and', 'n3d_12', 'states', 'to', 'which', 'the', 'atoms', 'decay', 'with', 'a', 'high', 'branching', 'ratio', 'the', 'cooling', 'and', 'repumping', 'transition', 'have', 'a', 'common', 'upper', 'state', 'this', 'leads', 'to', 'dark', 'resonances', 'and', 'hence', 'make', 'optical', 'cooling', 'less', 'inefficient', 'the', 'experimental', 'observations', 'can', 'be', 'accurately', 'modelled', 'by', 'the', 'optical', 'bloch', 'equations', 'comparison', 'with', 'experimental', 'results', 'allows', 'us', 'to', 'extract', 'relevant', 'parameters', 'for', 'effective', 'laser', 'cooling', 'of', 'barium']] | [-0.03305993894601295, 0.25942692308750587, -0.029963132735871364, 0.0033347498004635177, -0.03622363234057511, -0.17901730618677011, 0.1382703537215004, 0.4236754451732279, -0.20365222252211443, -0.31249469759709697, 0.04507613092131328, -0.2881692931189843, 0.015887816212888733, 0.19219302030636326, 0.036404842041734164, 0.06050969586780697, 0.06092839406383242, -0.023839756764252398, -0.05807455270733757, -0.18814111389584987, 0.22408599966073262, 0.08004029137173704, 0.24992320926713885, 0.0574805267981491, 0.04860089731165299, -0.07093166003138393, 0.058098308605087155, -0.08148923430445731, -0.1171984073806408, 0.1302993204050889, 0.24172853215314521, 0.02960180102587294, 0.16595150523718594, -0.45142035692126725, -0.20106052516904824, 0.10323730729264664, 0.18358292143024943, 0.17819536326101562, -0.07547161271727151, -0.2904111553969629, -0.044130469086881285, -0.14392769532095567, -0.11099550477229059, -0.11194435300250702, 0.00896406874480639, 0.048443708934035955, -0.3062349074593216, 0.051982895267143496, 0.0008571312292570285, 0.05594678473968159, -0.11525712952111374, -0.11903834966577444, 0.003935101364428799, 0.05447871534509913, -0.04570325754820278, -0.004652620576249033, 0.20824964157780448, -0.08781426925641284, -0.06099755407365806, 0.4342018896257322, -0.13222092674935565, -0.06915712475721889, 0.19627442624986025, -0.1662114220260478, -0.05314795511738196, 0.19702582800870433, 0.13101028892960326, 0.11382673489153568, -0.09457828589331578, -0.012422551638640774, 0.02195150817415732, 0.1949710499257872, 0.10147144201248154, 0.12444738256882, 0.23641096886393487, 0.17290495241097376, -0.028248731304854884, 0.12918927382184742, -0.14778512869459376, -0.05491570829797317, -0.17817188222326485, -0.1465296153117236, -0.13829299365056166, 0.0887790214562533, -0.03860845017248614, -0.1091147296395445, 0.33152516802211346, 0.1166978116220265, 0.2110558462867915, -0.07493343940073185, 0.341897313432841, 0.150449041080862, 0.056958511752514714, 0.0038366929454473303, 0.36437089317569543, 0.17963769907067878, 0.06459560540422578, -0.3350609844098525, 0.07712468303575673, 0.0070053551610851405] |
708.0333 | Polaris B, an optical companion of Polaris (alpha UMi) system:
atmospheric parameters, chemical composition, distance and mass | We present an analysis of high-resolution spectroscopic observations of
Polaris B, the optical companion of the Polaris Ab system. The star has a
radial velocity V_r of -16.6km/s to -18.9km/s, and a projected rotational
velocity vsini=110 km/s. The derived atmospheric parameters are: Teff=6900K;
logg=4.3; V_t=2.5km/s. Polaris B has elemental abundances generally similar to
those of the Cepheid Polaris A (Usenko et al. 2005a), although carbon, sodium
and magnesium are close to the solar values. At a spectral type of F3V Polaris
B has a luminosity of 3.868L_sun, an absolute magnitude of +3.30mag, and a
distance of 109.5pc. The mass of the star is estimated to be 1.39M_sun, close
to a mass of 1.38+/-0.61M_sun for the recently-resolved orbital periods
companion Polaris Ab observed by Evans et al. (2007).
| astro-ph | we present an analysis of highresolution spectroscopic observations of polaris b the optical companion of the polaris ab system the star has a radial velocity v_r of 166kms to 189kms and a projected rotational velocity vsini110 kms the derived atmospheric parameters are teff6900k logg43 v_t25kms polaris b has elemental abundances generally similar to those of the cepheid polaris a usenko et al 2005a although carbon sodium and magnesium are close to the solar values at a spectral type of f3v polaris b has a luminosity of 3868l_sun an absolute magnitude of 330mag and a distance of 1095pc the mass of the star is estimated to be 139m_sun close to a mass of 138061m_sun for the recentlyresolved orbital periods companion polaris ab observed by evans et al 2007 | [['we', 'present', 'an', 'analysis', 'of', 'highresolution', 'spectroscopic', 'observations', 'of', 'polaris', 'b', 'the', 'optical', 'companion', 'of', 'the', 'polaris', 'ab', 'system', 'the', 'star', 'has', 'a', 'radial', 'velocity', 'v_r', 'of', '166kms', 'to', '189kms', 'and', 'a', 'projected', 'rotational', 'velocity', 'vsini110', 'kms', 'the', 'derived', 'atmospheric', 'parameters', 'are', 'teff6900k', 'logg43', 'v_t25kms', 'polaris', 'b', 'has', 'elemental', 'abundances', 'generally', 'similar', 'to', 'those', 'of', 'the', 'cepheid', 'polaris', 'a', 'usenko', 'et', 'al', '2005a', 'although', 'carbon', 'sodium', 'and', 'magnesium', 'are', 'close', 'to', 'the', 'solar', 'values', 'at', 'a', 'spectral', 'type', 'of', 'f3v', 'polaris', 'b', 'has', 'a', 'luminosity', 'of', '3868l_sun', 'an', 'absolute', 'magnitude', 'of', '330mag', 'and', 'a', 'distance', 'of', '1095pc', 'the', 'mass', 'of', 'the', 'star', 'is', 'estimated', 'to', 'be', '139m_sun', 'close', 'to', 'a', 'mass', 'of', '138061m_sun', 'for', 'the', 'recentlyresolved', 'orbital', 'periods', 'companion', 'polaris', 'ab', 'observed', 'by', 'evans', 'et', 'al', '2007']] | [-0.09108606340330944, 0.10470490783617399, -0.08324306393287291, -0.012598233325039282, -0.0939856975568099, -0.06641559376740795, 0.0817773741845597, 0.3919205783229125, -0.18300773221345848, -0.35986509262339067, 0.029638175513562664, -0.25100041332929357, -0.0318521497640432, 0.2033515328606754, -0.09676774022610564, 0.03573704859675337, 0.13376390894164183, -0.02385746917417763, -0.08658511659922895, -0.2350201110045115, 0.22344338185595056, 0.10892530325841028, 0.07575317682175521, -0.07823606330509249, 0.008669899123018248, -0.11977213792290473, -0.07332723240547798, -0.016392735037299103, -0.220286570693644, 0.06632178869269985, 0.14892064650918832, 0.13099353105695755, 0.2148244505985068, -0.25284574913645264, -0.1900551109738125, 0.013282786973082182, 0.13691906731477693, 0.03134624953300022, -0.0014270665409991093, -0.27497980469151545, 0.06481341100216173, -0.17712763684654706, -0.2016940477769822, 0.07004707181630165, 0.1732537155856558, 0.05010482733007194, -0.3095878379158022, 0.11968222453887983, 0.004151657264548959, 0.17832276656847904, -0.11685731246446569, -0.17305555612383933, -0.10677950881960753, 0.0633422549907935, -0.02589123568031937, 0.12490256109863128, 0.0852573962040703, -0.05974974393387113, -0.017738751299156433, 0.398165558824283, -0.08273685158009787, 0.01996443114905177, 0.2305255522073263, -0.16507631651097254, -0.12350714046164955, 0.12189765783484306, 0.11746451792535945, 0.10686757496411078, -0.16845087644954523, 0.02231299818193197, -0.07443138858172715, 0.2004322930353514, 0.0721715951926614, 0.035542045869014896, 0.2821095612700702, 0.09381353877394934, 0.004589135406269251, 0.004997325202311275, -0.29934858443754675, -0.02050610347916454, -0.18199439774871917, -0.17334720972729356, -0.15685440176738458, 0.06631910704840138, -0.08780994686962354, -0.15208628602129848, 0.37058405181098925, 0.08065101010888293, 0.23491067667246648, -0.0386546807498426, 0.2741573515037696, 0.13465032043556371, 0.0814304086292906, 0.11128887804143392, 0.35021199122594115, 0.2688038498592122, 0.14188900618127695, -0.3039083632093184, 0.06879912749986704, 0.07737817463420103] |
708.0334 | The Structure of Integrable One-Dimensional Systems | We explain the relationship between the classical description of an
integrable system in terms of invariant tori and action-angle variables, and
the quantum description in terms of the asymptotic Bethe ansatz.
| cond-mat.other cond-mat.stat-mech | we explain the relationship between the classical description of an integrable system in terms of invariant tori and actionangle variables and the quantum description in terms of the asymptotic bethe ansatz | [['we', 'explain', 'the', 'relationship', 'between', 'the', 'classical', 'description', 'of', 'an', 'integrable', 'system', 'in', 'terms', 'of', 'invariant', 'tori', 'and', 'actionangle', 'variables', 'and', 'the', 'quantum', 'description', 'in', 'terms', 'of', 'the', 'asymptotic', 'bethe', 'ansatz']] | [-0.19782075985905626, 0.05346106748038437, -0.13630002746058087, 0.1413141094869183, 0.004677802144039062, -0.06504682766934557, 0.0033459792199033883, 0.24201639633505576, -0.2576138721778989, -0.2720437749258934, 0.02734395614900296, -0.2537501266887111, -0.2118775428783509, 0.1586210356364327, -0.06263451428423004, 0.05850236676633358, 0.030519714398730184, 0.062014108726514444, -0.19460876155344228, -0.22479008068330586, 0.32175018205758066, 0.01554143550099745, 0.2513840920742481, -0.00520074559796241, 0.17060552008690372, 0.06730909291805039, -0.009206637890348512, -0.04961060080677271, -0.16606114696591132, 0.1591248112099786, 0.24457848853161257, 0.07418054884539978, 0.11122948520125882, -0.41258241428482917, -0.12500974755253522, 0.1049173499547666, 0.20490541699672898, 0.0954033380764867, 0.11274902023855717, -0.27935980176252706, -0.004785289266897786, -0.22737454438221552, -0.24732361229196673, -0.155912674362621, 0.028444818431331266, 0.04635029947084765, -0.17510433837531075, 0.10737975855027476, 0.1592286361171113, 0.14433680970462098, -0.1232435655209326, -0.017662927489577523, 0.018401268238742507, 0.09693663507219284, 0.0665556051197552, -0.01860054088155589, 0.02434027238538669, -0.1613464315812434, -0.11327592659020616, 0.3374417811752327, -0.03984420859975921, -0.2793486927065157, 0.18018202165201788, -0.13607026756771148, -0.11479791440069675, 0.05441415496170521, 0.10993589364713238, 0.07233800138196637, -0.21026651134654398, 0.2049872372562306, -0.07362157214553125, 0.11030931701703418, 0.04726858422039978, 0.11046394429379894, 0.20450497541816964, 0.056652349690275806, -0.01796317172627295, 0.1640949187980544, 0.0275014282895192, -0.28221442802779134, -0.3960464092031602, -0.18970251966628335, -0.16312543184105907, 0.10496960568331903, -0.16254632868860366, -0.21281251864087197, 0.42057410194989175, 0.09480179561444768, 0.21367308626612347, 0.04595497481885456, 0.19094878112176253, 0.17316347168337914, -0.04601540668837486, 0.06507367096961506, 0.18654650972495157, 0.24592866490204487, 0.02819956869127289, -0.2914631771704843, -0.012968324139834411, 0.21315981588897207] |
708.0335 | Eccentricity evolution of giant planet orbits due to circumstellar disk
torques | The extrasolar planets discovered to date possess unexpected orbital
elements. Most orbit their host stars with larger eccentricities and smaller
semi-major axes than similarly sized planets in our own solar system do. It is
generally agreed that the interaction between giant planets and circumstellar
disks (Type II migration) drives these planets inward to small radii, but the
effect of these same disks on orbital eccentricity, e, is controversial.
Several recent analytic calculations suggest that disk-planet interactions can
excite eccentricity, while numerical studies generally produce eccentricity
damping. This paper addresses this controversy using a quasi-analytic approach,
drawing on several preceding analytic studies. This work refines the current
treatment of eccentricity evolution by removing several approximations from the
calculation of disk torques. We encounter neither uniform damping nor uniform
excitation of orbital eccentricity, but rather a function de/dt that varies in
both sign and magnitude depending on eccentricity and other solar system
properties. Most significantly, we find that for every combination of disk and
planet properties investigated herein, corotation torques produce negative
values of de/dt for some range in e within the interval [0.1, 0.5]. If
corotation torques are saturated, this region of eccentricity damping
disappears, and excitation occurs on a short timescale of less than 0.08 Myr.
Thus, our study does not produce eccentricity excitation on a timescale of a
few Myr -- we obtain either eccentricity excitation on a short time scale, or
eccentricity damping on a longer time scale. Finally, we discuss the
implications of this result for producing the observed range in extrasolar
planet eccentricity.
| astro-ph | the extrasolar planets discovered to date possess unexpected orbital elements most orbit their host stars with larger eccentricities and smaller semimajor axes than similarly sized planets in our own solar system do it is generally agreed that the interaction between giant planets and circumstellar disks type ii migration drives these planets inward to small radii but the effect of these same disks on orbital eccentricity e is controversial several recent analytic calculations suggest that diskplanet interactions can excite eccentricity while numerical studies generally produce eccentricity damping this paper addresses this controversy using a quasianalytic approach drawing on several preceding analytic studies this work refines the current treatment of eccentricity evolution by removing several approximations from the calculation of disk torques we encounter neither uniform damping nor uniform excitation of orbital eccentricity but rather a function dedt that varies in both sign and magnitude depending on eccentricity and other solar system properties most significantly we find that for every combination of disk and planet properties investigated herein corotation torques produce negative values of dedt for some range in e within the interval 01 05 if corotation torques are saturated this region of eccentricity damping disappears and excitation occurs on a short timescale of less than 008 myr thus our study does not produce eccentricity excitation on a timescale of a few myr we obtain either eccentricity excitation on a short time scale or eccentricity damping on a longer time scale finally we discuss the implications of this result for producing the observed range in extrasolar planet eccentricity | [['the', 'extrasolar', 'planets', 'discovered', 'to', 'date', 'possess', 'unexpected', 'orbital', 'elements', 'most', 'orbit', 'their', 'host', 'stars', 'with', 'larger', 'eccentricities', 'and', 'smaller', 'semimajor', 'axes', 'than', 'similarly', 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708.0336 | Comment: Monitoring Networked Applications With Incremental Quantile
Estimation | Our comments are in two parts. First, we make some observations regarding the
methodology in Chambers et al. [arXiv:0708.0302]. Second, we briefly describe
another interesting network monitoring problem that arises in the context of
assessing quality of service, such as loss rates and delay distributions, in
packet-switched networks.
| stat.ME | our comments are in two parts first we make some observations regarding the methodology in chambers et al arxiv07080302 second we briefly describe another interesting network monitoring problem that arises in the context of assessing quality of service such as loss rates and delay distributions in packetswitched networks | [['our', 'comments', 'are', 'in', 'two', 'parts', 'first', 'we', 'make', 'some', 'observations', 'regarding', 'the', 'methodology', 'in', 'chambers', 'et', 'al', 'arxiv07080302', 'second', 'we', 'briefly', 'describe', 'another', 'interesting', 'network', 'monitoring', 'problem', 'that', 'arises', 'in', 'the', 'context', 'of', 'assessing', 'quality', 'of', 'service', 'such', 'as', 'loss', 'rates', 'and', 'delay', 'distributions', 'in', 'packetswitched', 'networks']] | [-0.14519100892357528, 0.01431051839608699, -0.004411909457606574, 0.06679790994773309, -0.06915099730637546, -0.10800361982546747, 0.04977688184590079, 0.4393902542651631, -0.23699887110463655, -0.32747264408196014, 0.12458827414957341, -0.28255715463698533, -0.21250008752879998, 0.20260676566977054, -0.1750661389766416, 0.061371135156756886, 0.06130956617804865, -0.03338712938906004, -0.044661961005961835, -0.29213177614534896, 0.3160990734274189, 0.08030162976744275, 0.28580769803375006, 0.06871869242362057, 0.05321721706422977, -0.005947376630501822, -0.11992369681441535, -0.011921464026575753, -0.11501721273164851, 0.1032669847845682, 0.27694619019166566, 0.22268080313612396, 0.3017366072551037, -0.43302375621472794, -0.22491182439262047, 0.0739052784726179, 0.08487811752396131, 0.09603432468914737, -0.03831750656778846, -0.2818191262437419, 0.036643268230060734, -0.20445748882290596, -0.11460047491709702, -0.04292683799091416, 0.02385009381881294, 0.07129463388506944, -0.22735832484128574, 0.05467281870854398, 0.03521096178640922, 0.003386649147917827, -0.06442657712371631, -0.11529764492297545, 0.03727180427813437, 0.16002844627655577, 0.0584693136139928, -0.03348651699100932, 0.07999752343554671, -0.15129142628090145, -0.15514009452939112, 0.34674758395703975, -0.03843887068796903, -0.1469456407163913, 0.16190952196484432, -0.08878896769601852, -0.22608782893318372, 0.023697162561196212, 0.2393151269837593, 0.0954612739442382, -0.18134260755808404, 0.005175815040274756, -0.0320611945935525, 0.11743836326058954, 0.09371731985690228, 0.06202676757432831, 0.14066152257146314, 0.21485284029040486, 0.016858974859739344, 0.15146957553224638, -0.08101138535130303, -0.08426609753344867, -0.29770928535920876, -0.18675754845996076, -0.1537376253933568, -0.011898021596910743, -0.052098330430150476, -0.09923254372552037, 0.3903193411921772, 0.19653792413979923, 0.256435866933316, 0.019741190393688157, 0.29434393437501666, 0.04105222606449388, -0.017609298753086478, 0.07993223959541258, 0.20887508646228525, 0.06479574836945783, 0.1615162909923432, -0.15643799482071094, 0.10779627101146616, 0.047470757126575336] |
708.0337 | Revisiting the valence-band and core-level photoemission spectra of NiO | We have re-examined the valence-band (VB) and core-level electronic structure
of NiO by means of hard and soft x-ray photoemission spectroscopy (PES). The
spectral weight of the lowest energy state found to be enhanced in the bulk
sensitive Ni 2p core-level PES. A configuration-interaction model including the
bound state screening has shown significant agreement with the core-level
spectra, and the off and on-resonance VB spectra. These results identify the
lowest energy state in core-level and VB-PES as the Zhang-Rice doublet bound
state, consistent with the spin-fermion model and recent ab initio calculation
with dynamical mean-field theory (LDA + DMFT).
| cond-mat.str-el | we have reexamined the valenceband vb and corelevel electronic structure of nio by means of hard and soft xray photoemission spectroscopy pes the spectral weight of the lowest energy state found to be enhanced in the bulk sensitive ni 2p corelevel pes a configurationinteraction model including the bound state screening has shown significant agreement with the corelevel spectra and the off and onresonance vb spectra these results identify the lowest energy state in corelevel and vbpes as the zhangrice doublet bound state consistent with the spinfermion model and recent ab initio calculation with dynamical meanfield theory lda dmft | [['we', 'have', 'reexamined', 'the', 'valenceband', 'vb', 'and', 'corelevel', 'electronic', 'structure', 'of', 'nio', 'by', 'means', 'of', 'hard', 'and', 'soft', 'xray', 'photoemission', 'spectroscopy', 'pes', 'the', 'spectral', 'weight', 'of', 'the', 'lowest', 'energy', 'state', 'found', 'to', 'be', 'enhanced', 'in', 'the', 'bulk', 'sensitive', 'ni', '2p', 'corelevel', 'pes', 'a', 'configurationinteraction', 'model', 'including', 'the', 'bound', 'state', 'screening', 'has', 'shown', 'significant', 'agreement', 'with', 'the', 'corelevel', 'spectra', 'and', 'the', 'off', 'and', 'onresonance', 'vb', 'spectra', 'these', 'results', 'identify', 'the', 'lowest', 'energy', 'state', 'in', 'corelevel', 'and', 'vbpes', 'as', 'the', 'zhangrice', 'doublet', 'bound', 'state', 'consistent', 'with', 'the', 'spinfermion', 'model', 'and', 'recent', 'ab', 'initio', 'calculation', 'with', 'dynamical', 'meanfield', 'theory', 'lda', 'dmft']] | [-0.02357935934233698, 0.10888059643258778, -0.07143612703954687, 0.11563723020692718, 0.041695936649505584, -0.15599543854656003, 0.12992307976273135, 0.4339826227526884, -0.24392081975784838, -0.35488773132579365, -0.08042602898429471, -0.3953525508963028, -0.10375205969571002, 0.08177116971786078, 0.12112375374465269, 0.09210162726706084, 0.09011418623279552, -0.04625769182374435, -0.12345770929645443, -0.12981129890398066, 0.2967847429776602, 0.10904695897135047, 0.2625432524316925, 0.12085654563745674, -0.06719551534791078, 0.08796277090583984, 0.09815519571551407, -0.014039714972735668, -0.12630805931985378, 0.13994001524465882, 0.2795191048311868, -0.04424270763233, 0.18098163348385038, -0.4495412726905577, -0.22706586529253697, -0.07005713295134507, 0.12041989709155596, 0.11743891732862258, -0.056038192959207735, -0.27480654068747346, 0.04332573491870901, -0.20019595401969795, -0.09011628077964165, -0.17799699643854888, -0.05872143804076679, -0.024087821596720238, -0.205082015807346, 0.1305928711627363, -0.027963375693189494, 0.052108613365538875, -0.22632522780296147, -0.22058611064769176, -0.1618659954247236, -0.006919007353978802, 0.03527054533585716, 0.07152381519387875, 0.07316076218587708, -0.08458925775556388, -0.13309616176886674, 0.3417165038004822, -0.08158131899212354, -0.0058148716367325, 0.16327609549729719, -0.16956330346874893, -0.12306376998027672, 0.1959316927407469, 0.012048890217853596, 0.13063414227359985, -0.08978073040263404, 0.15639179013075535, -0.026898251257228608, 0.2729048938015286, 0.0030498423860693463, 0.10610246918648565, 0.14034616386776846, 0.13316574268047793, -0.04365055061335086, 0.07902395757680226, -0.2144431635898975, -0.06735122105943, -0.1626288590914741, -0.10661146748568673, -0.22705973510164768, 0.04098161011554149, -0.022982433464732117, -0.2110984599492774, 0.42362136907438386, 0.05620028351300529, 0.1713998746316956, -0.06956995442053493, 0.26212959335546715, 0.1755999522984541, 0.020798285620058983, 0.04818117866596701, 0.3034798589972209, 0.2146682073195864, 0.06113400977409007, -0.3520930864544091, 0.054005447910844384, 0.03730486139503061] |
708.0338 | Comment: Monitoring Networked Applications With Incremental Quantile
Estimation | Comment: Monitoring Networked Applications With Incremental Quantile
Estimation [arXiv:0708.0302]
| stat.ME | comment monitoring networked applications with incremental quantile estimation arxiv07080302 | [['comment', 'monitoring', 'networked', 'applications', 'with', 'incremental', 'quantile', 'estimation', 'arxiv07080302']] | [-0.14180646360748345, -0.061008553124136396, -0.022818914873318538, -0.04242407299009048, -0.18278559876812828, -0.3424644395709038, 0.05223862397381001, 0.4318316388461325, -0.15059460865126717, -0.2871013937724961, 0.3038245534731282, -0.24358591685692468, -0.23661380861368445, 0.16721839809583294, -0.3203492797911167, 0.23052565774155986, 0.1332685396903091, -0.11823632083703867, -0.1182896580754055, -0.29870014389355976, 0.08941201099918948, 0.05185065294305483, 0.31397945061326027, -0.013323466396994062, 0.11906009395089415, 0.2880069497558806, -0.1671180207696226, -0.09058949102958043, -0.10746338922116491, 0.1721250061980552, 0.5429602961780297, 0.22089766297075483, 0.5194851540856891, -0.25613250997331405, -0.29014285571045345, 0.18476055417623785, 0.0755517956115202, 0.003271087176269955, -0.04060833507941829, -0.41642598311106366, -0.07250919669038719, -0.25924959571825135, -0.073689431986875, -0.1722898149035043, 0.0005581310639778773, 0.10864363763377899, -0.3237191554572847, 0.08159725864728291, -0.059789555768171944, 0.23247938768731224, -0.10408317380481297, -0.13112562770644823, 0.016403951164748933, -0.03646214451226923, 0.11306991510921055, -0.1113162740237183, 0.3533001136448648, -0.06434505771418723, -0.2240887749940157, 0.22326514536204436, 0.023935252722973626, -0.10549512133002281, 0.10878218110236856, 0.0783995905270179, -0.31422289843774504, -0.05154605447832081, 0.34754205619295436, 0.058100477481881775, -0.16852997202012274, 0.11848535388708115, 0.06323115382757452, 0.1369603102405866, 0.012258037096924253, 0.07288096596797307, 0.1036528427567747, 0.2931019804543919, 0.2178293460359176, 0.08418782924612363, -0.09025879949331284, -0.0706099168294006, -0.19366654629508653, -0.08807776733818981, -0.12764184611539045, -0.08135595917701721, -0.2825550799154573, -0.2942644730210304, 0.2582230567932129, 0.3102959985327389, 0.08016650120003356, 0.131926156166527, 0.3819754785961575, 0.1170882015592522, -0.13031929731369019, 0.1644070859377583, 0.10438426915142271, 0.06387187788883845, 0.21672290480799145, -0.2043422224620978, 0.17213665487037766, 0.021818617591634393] |
708.0339 | Rejoinder: Monitoring Networked Applications With Incremental Quantile
Estimation | Rejoinder: Monitoring Networked Applications With Incremental Quantile
Estimation [arXiv:0708.0302]
| stat.ME | rejoinder monitoring networked applications with incremental quantile estimation arxiv07080302 | [['rejoinder', 'monitoring', 'networked', 'applications', 'with', 'incremental', 'quantile', 'estimation', 'arxiv07080302']] | [-0.0536881091280116, -0.1212330133550697, -0.051516089795364275, -0.029779527090593345, -0.1569837679465612, -0.31315024114317364, 0.033965243906196624, 0.4493624187178082, -0.17849248150984445, -0.30614033258623546, 0.2851453361411889, -0.2873593692978223, -0.2302411945743693, 0.1427004678795735, -0.3540352007581128, 0.28415053110155797, 0.152642372995615, -0.14114267225765312, -0.06417093374249008, -0.29361039731237626, 0.05957149859103891, 0.07411874623762237, 0.3436673718194167, -0.09737958717677328, 0.147544395385517, 0.31865940656926894, -0.14043953807817566, -0.050982038180033364, -0.08424108351270358, 0.22654874571081665, 0.5764040218459235, 0.2514330661959118, 0.6010962194866605, -0.19983435163481367, -0.2834209187163247, 0.17937281293173632, 0.073369795398321, -0.056800427536169686, -0.020762251276108954, -0.4420382016234928, -0.07469944386846489, -0.26996902086668545, -0.053691929620173245, -0.1531277991210421, -0.042688987114363246, 0.10969037283211946, -0.40596501529216766, 0.11170188089211781, -0.03673257182041804, 0.28968607054816353, -0.08672992885112762, -0.11388890486624506, 0.06785041714708011, 0.005974622443318367, 0.0705512563387553, -0.09665170829329225, 0.29365731020354563, -0.06568037304289949, -0.22105846823089653, 0.20193610668906736, 0.033197533753183156, -0.13164550272954834, 0.1078273080703285, 0.13728614668879244, -0.3209850255192982, -0.03722639619890186, 0.39405302537812126, 0.04484883675144778, -0.19186478232343993, 0.09388771073685752, 0.12900482304394245, 0.12284493322173755, -0.03745309760173162, -0.013293839991092682, 0.11431682565146023, 0.27166673685941434, 0.22947866655886173, 0.0703971032699984, -0.11352983365456264, -0.08375432797604138, -0.19131480529904366, -0.09700180455628368, -0.1296918299049139, -0.08889235669953956, -0.28219804716193014, -0.30781880600584877, 0.29827605022324455, 0.26628639580061036, -0.0009882227621144718, 0.14760559300581613, 0.37710549268457627, 0.0900582724975215, -0.1124308639102512, 0.1524537606164813, 0.03350645386510425, 0.12173328383101358, 0.21978691716988882, -0.17263194794456163, 0.2683752017716567, 0.03607823081418044] |
708.034 | Coarse Grained Density Functional Theories for Metallic Alloys:
Generalized Coherent Potential Approximations and Charge Excess Functional
Theory | The class of the Generalized Coherent Potential Approximations (GCPA) to the
Density Functional Theory (DFT) is introduced within the Multiple Scattering
Theory formalism for dealing with, ordered or disordered, metallic alloys. All
GCPA theories are based on a common ansatz for the kinetic part of the
Hohenberg-Kohn functional and each theory of the class is specified by an
external model concerning the potential reconstruction. The GCPA density
functional consists of marginally coupled local contributions, does not depend
on the details of the charge density and can be exactly rewritten as a function
of the appropriate charge multipole moments associated with each lattice site.
A general procedure based on the integration of the 'qV' laws is described that
allows for the explicit construction the same function. The coarse grained
nature of the GCPA density functional implies great computational advantages
and is connected with the O(N) scalability of GCPA algorithms. Moreover, it is
shown that a convenient truncated series expansion of the GCPA functional leads
to the Charge Excess Functional (CEF) theory [E. Bruno, L. Zingales and Y.
Wang, Phys. Rev. Lett. {\bf 91}, 166401 (2003)] which here is offered in a
generalized version that includes multipolar interactions. CEF and the GCPA
numerical results are compared with status of art LAPW full-potential density
functional calculations for 62, bcc- and fcc-based, ordered CuZn alloys, in all
the range of concentrations. These extensive tests show that the discrepancies
between GCPA and CEF are always within the numerical accuracy of the
calculations, both for the site charges and the total energies. Furthermore,
GCPA and CEF very carefully reproduce the LAPW site charges and the total
energy trends.
| cond-mat.mtrl-sci cond-mat.dis-nn | the class of the generalized coherent potential approximations gcpa to the density functional theory dft is introduced within the multiple scattering theory formalism for dealing with ordered or disordered metallic alloys all gcpa theories are based on a common ansatz for the kinetic part of the hohenbergkohn functional and each theory of the class is specified by an external model concerning the potential reconstruction the gcpa density functional consists of marginally coupled local contributions does not depend on the details of the charge density and can be exactly rewritten as a function of the appropriate charge multipole moments associated with each lattice site a general procedure based on the integration of the qv laws is described that allows for the explicit construction the same function the coarse grained nature of the gcpa density functional implies great computational advantages and is connected with the on scalability of gcpa algorithms moreover it is shown that a convenient truncated series expansion of the gcpa functional leads to the charge excess functional cef theory e bruno l zingales and y wang phys rev lett bf 91 166401 2003 which here is offered in a generalized version that includes multipolar interactions cef and the gcpa numerical results are compared with status of art lapw fullpotential density functional calculations for 62 bcc and fccbased ordered cuzn alloys in all the range of concentrations these extensive tests show that the discrepancies between gcpa and cef are always within the numerical accuracy of the calculations both for the site charges and the total energies furthermore gcpa and cef very carefully reproduce the lapw site charges and the total energy trends | [['the', 'class', 'of', 'the', 'generalized', 'coherent', 'potential', 'approximations', 'gcpa', 'to', 'the', 'density', 'functional', 'theory', 'dft', 'is', 'introduced', 'within', 'the', 'multiple', 'scattering', 'theory', 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708.0341 | Time-dependent density functional theory calculation of van der Waals
coefficient of sodium clusters | In this paper we employ all-electron \textit{ab-initio} time-dependent
density functional theory based method to calculate the long range
dipole-dipole dispersion coefficient (van der Waals coefficient) $C_{6}$ of
sodium atom clusters containing even number of atoms ranging from 2 to 20
atoms. The dispersion coefficients are obtained via Casimir-Polder relation.
The calculations are carried out with two different exchange-correlation
potentials: (i) the asymptotically correct statistical average of orbital
potential (SAOP) and (ii) Vosko-Wilk-Nusair representation of
exchange-correlation potential within local density approximation. A comparison
with the other theoretical results has been performed. We also present the
results for the static polarizabilities of sodium clusters and also compare
them with other theoretical and experimental results. These comparisons reveal
that the SAOP results for C_{6} and static polarizability are quite accurate
and very close to the experimental results. We examine the relationship between
volume of the cluster and van der Waals coefficient and find that to a very
high degree of correlation C_{6} scales as square of the volume. We also
present the results for van der Waals coefficient corresponding to cluster-Ar
atom and cluster-N_{2} molecule interactions.
| physics.atm-clus physics.chem-ph | in this paper we employ allelectron textitabinitio timedependent density functional theory based method to calculate the long range dipoledipole dispersion coefficient van der waals coefficient c_6 of sodium atom clusters containing even number of atoms ranging from 2 to 20 atoms the dispersion coefficients are obtained via casimirpolder relation the calculations are carried out with two different exchangecorrelation potentials i the asymptotically correct statistical average of orbital potential saop and ii voskowilknusair representation of exchangecorrelation potential within local density approximation a comparison with the other theoretical results has been performed we also present the results for the static polarizabilities of sodium clusters and also compare them with other theoretical and experimental results these comparisons reveal that the saop results for c_6 and static polarizability are quite accurate and very close to the experimental results we examine the relationship between volume of the cluster and van der waals coefficient and find that to a very high degree of correlation c_6 scales as square of the volume we also present the results for van der waals coefficient corresponding to clusterar atom and clustern_2 molecule interactions | [['in', 'this', 'paper', 'we', 'employ', 'allelectron', 'textitabinitio', 'timedependent', 'density', 'functional', 'theory', 'based', 'method', 'to', 'calculate', 'the', 'long', 'range', 'dipoledipole', 'dispersion', 'coefficient', 'van', 'der', 'waals', 'coefficient', 'c_6', 'of', 'sodium', 'atom', 'clusters', 'containing', 'even', 'number', 'of', 'atoms', 'ranging', 'from', '2', 'to', '20', 'atoms', 'the', 'dispersion', 'coefficients', 'are', 'obtained', 'via', 'casimirpolder', 'relation', 'the', 'calculations', 'are', 'carried', 'out', 'with', 'two', 'different', 'exchangecorrelation', 'potentials', 'i', 'the', 'asymptotically', 'correct', 'statistical', 'average', 'of', 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708.0342 | Transcription and noise in negative feedback loops | Recently, several studies have investigated the transcription process
associated to specific genetic regulatory networks. In this work, we present a
stochastic approach for analyzing the dynamics and effect of negative feedback
loops (FBL) on the transcriptional noise. First, our analysis allows us to
identify a bimodal activity depending of the strength of self-repression
coupling D. In the strong coupling region D>>1, the variance of the
transcriptional noise is found to be reduced a 28 % more than described
earlier. Secondly, the contribution of the noise effect to the abundance of
regulating protein becomes manifest when the coefficient of variation is
computed. In the strong coupling region, this coefficient is found to be
independent of all parameters and in fair agreement with the experimentally
observed values. Finally, our analysis reveals that the regulating protein is
significantly induced by the intrinsic and external noise in the strong
coupling region. In short, it indicates that the existence of inherent noise in
FBL makes it possible to produce a basal amount of proteins even though the
repression level D is very strong.
| q-bio.MN | recently several studies have investigated the transcription process associated to specific genetic regulatory networks in this work we present a stochastic approach for analyzing the dynamics and effect of negative feedback loops fbl on the transcriptional noise first our analysis allows us to identify a bimodal activity depending of the strength of selfrepression coupling d in the strong coupling region d1 the variance of the transcriptional noise is found to be reduced a 28 more than described earlier secondly the contribution of the noise effect to the abundance of regulating protein becomes manifest when the coefficient of variation is computed in the strong coupling region this coefficient is found to be independent of all parameters and in fair agreement with the experimentally observed values finally our analysis reveals that the regulating protein is significantly induced by the intrinsic and external noise in the strong coupling region in short it indicates that the existence of inherent noise in fbl makes it possible to produce a basal amount of proteins even though the repression level d is very strong | [['recently', 'several', 'studies', 'have', 'investigated', 'the', 'transcription', 'process', 'associated', 'to', 'specific', 'genetic', 'regulatory', 'networks', 'in', 'this', 'work', 'we', 'present', 'a', 'stochastic', 'approach', 'for', 'analyzing', 'the', 'dynamics', 'and', 'effect', 'of', 'negative', 'feedback', 'loops', 'fbl', 'on', 'the', 'transcriptional', 'noise', 'first', 'our', 'analysis', 'allows', 'us', 'to', 'identify', 'a', 'bimodal', 'activity', 'depending', 'of', 'the', 'strength', 'of', 'selfrepression', 'coupling', 'd', 'in', 'the', 'strong', 'coupling', 'region', 'd1', 'the', 'variance', 'of', 'the', 'transcriptional', 'noise', 'is', 'found', 'to', 'be', 'reduced', 'a', '28', 'more', 'than', 'described', 'earlier', 'secondly', 'the', 'contribution', 'of', 'the', 'noise', 'effect', 'to', 'the', 'abundance', 'of', 'regulating', 'protein', 'becomes', 'manifest', 'when', 'the', 'coefficient', 'of', 'variation', 'is', 'computed', 'in', 'the', 'strong', 'coupling', 'region', 'this', 'coefficient', 'is', 'found', 'to', 'be', 'independent', 'of', 'all', 'parameters', 'and', 'in', 'fair', 'agreement', 'with', 'the', 'experimentally', 'observed', 'values', 'finally', 'our', 'analysis', 'reveals', 'that', 'the', 'regulating', 'protein', 'is', 'significantly', 'induced', 'by', 'the', 'intrinsic', 'and', 'external', 'noise', 'in', 'the', 'strong', 'coupling', 'region', 'in', 'short', 'it', 'indicates', 'that', 'the', 'existence', 'of', 'inherent', 'noise', 'in', 'fbl', 'makes', 'it', 'possible', 'to', 'produce', 'a', 'basal', 'amount', 'of', 'proteins', 'even', 'though', 'the', 'repression', 'level', 'd', 'is', 'very', 'strong']] | [-0.15206108794423967, 0.11915642095435053, -0.02334004882091688, 0.08737972859491729, -0.04154811450740649, -0.12445296321095804, 0.06918694565169997, 0.3634395190951346, -0.2423496094879584, -0.2979098374002987, 0.03501399133504384, -0.2390145491612161, -0.20023376267340223, 0.18465401683171084, -0.029203827569680815, -0.03284961315479306, 0.04335544139441461, 0.036354526523553296, 0.025538803718518466, -0.20841564673214813, 0.2830315443324083, 0.11746347979984462, 0.28632022041069755, 0.07147862129229104, 0.07788441218909319, -0.0608983263425992, -0.043696259305612474, 0.0373729068140031, -0.09473479353738251, 0.11620289023102677, 0.22748064580715477, 0.06460078031190186, 0.2703361736484251, -0.3749033621601803, -0.23348349234547025, 0.11640147785629845, 0.13563165942316818, 0.14108987224924951, -0.02479664630121433, -0.24448765292342772, 0.08112255432564071, -0.12480205280369537, -0.09848067457629842, -0.06611227293598787, 0.04553871727574848, 0.0034443621855844266, -0.296333707395499, 0.13105227540925904, 0.07583724646197663, 0.055421145543413985, -0.0491374160276889, -0.110396058423613, -0.0407207522351863, 0.15766090431101332, 0.08908286194779416, 0.03630185384901193, 0.16627118572603258, -0.134265506216509, -0.06369955576219632, 0.3259393555259511, -0.08629881724457739, -0.1853451625678141, 0.1882318727998326, -0.17621845649397475, -0.15704813048159336, 0.1614714677111472, 0.13308452034505916, 0.07482873691024922, -0.16625520199089044, 0.04737443941429759, 0.01586265554178064, 0.22067555333066752, 0.0686290558522283, 0.03233028624148738, 0.14143568991899153, 0.18483166114458718, 0.03603952255831389, 0.16515731104744313, -0.10654444554669383, -0.10660409668656487, -0.24157275810395762, -0.08586845800575227, -0.13242483839437386, 0.053822524337845165, -0.10320799783542081, -0.14335682125641086, 0.3828451832319678, 0.15609777837573738, 0.23051466975666288, 0.02477342992268587, 0.25744276554297424, 0.11598080871422843, 0.0898652506392386, 0.01873676932948289, 0.28069070034981364, 0.13905093590413237, 0.07687727519768779, -0.3104951738874496, 0.15325638009393114, -0.015899071711941628] |
708.0343 | Dynamic Modeling and Statistical Analysis of Event Times | This review article provides an overview of recent work in the modeling and
analysis of recurrent events arising in engineering, reliability, public
health, biomedicine and other areas. Recurrent event modeling possesses unique
facets making it different and more difficult to handle than single event
settings. For instance, the impact of an increasing number of event occurrences
needs to be taken into account, the effects of covariates should be considered,
potential association among the interevent times within a unit cannot be
ignored, and the effects of performed interventions after each event occurrence
need to be factored in. A recent general class of models for recurrent events
which simultaneously accommodates these aspects is described. Statistical
inference methods for this class of models are presented and illustrated
through applications to real data sets. Some existing open research problems
are described.
| stat.ME | this review article provides an overview of recent work in the modeling and analysis of recurrent events arising in engineering reliability public health biomedicine and other areas recurrent event modeling possesses unique facets making it different and more difficult to handle than single event settings for instance the impact of an increasing number of event occurrences needs to be taken into account the effects of covariates should be considered potential association among the interevent times within a unit cannot be ignored and the effects of performed interventions after each event occurrence need to be factored in a recent general class of models for recurrent events which simultaneously accommodates these aspects is described statistical inference methods for this class of models are presented and illustrated through applications to real data sets some existing open research problems are described | [['this', 'review', 'article', 'provides', 'an', 'overview', 'of', 'recent', 'work', 'in', 'the', 'modeling', 'and', 'analysis', 'of', 'recurrent', 'events', 'arising', 'in', 'engineering', 'reliability', 'public', 'health', 'biomedicine', 'and', 'other', 'areas', 'recurrent', 'event', 'modeling', 'possesses', 'unique', 'facets', 'making', 'it', 'different', 'and', 'more', 'difficult', 'to', 'handle', 'than', 'single', 'event', 'settings', 'for', 'instance', 'the', 'impact', 'of', 'an', 'increasing', 'number', 'of', 'event', 'occurrences', 'needs', 'to', 'be', 'taken', 'into', 'account', 'the', 'effects', 'of', 'covariates', 'should', 'be', 'considered', 'potential', 'association', 'among', 'the', 'interevent', 'times', 'within', 'a', 'unit', 'can', 'not', 'be', 'ignored', 'and', 'the', 'effects', 'of', 'performed', 'interventions', 'after', 'each', 'event', 'occurrence', 'need', 'to', 'be', 'factored', 'in', 'a', 'recent', 'general', 'class', 'of', 'models', 'for', 'recurrent', 'events', 'which', 'simultaneously', 'accommodates', 'these', 'aspects', 'is', 'described', 'statistical', 'inference', 'methods', 'for', 'this', 'class', 'of', 'models', 'are', 'presented', 'and', 'illustrated', 'through', 'applications', 'to', 'real', 'data', 'sets', 'some', 'existing', 'open', 'research', 'problems', 'are', 'described']] | [-0.08526844632275321, 0.06458052106904359, -0.041431705097910825, 0.11859774996739124, -0.09630762958440228, -0.14950638955485993, 0.021960742343082162, 0.39615267639358837, -0.2593272792182161, -0.3243211258870914, 0.13093771695107073, -0.28945842333326954, -0.14325242223676996, 0.24060313256484442, -0.09912080609448848, 0.04515959588351889, 0.12191097018565389, 0.014170767756286954, -0.0336414323495431, -0.276845951375646, 0.2705969058763425, 0.05456552505189472, 0.27166024634641583, 0.03991347687332419, 0.06425549492216331, 0.03585829747422342, -0.09343290732552607, 0.060322837426624115, -0.07944104414554717, 0.12083943498631318, 0.3254008020713113, 0.19900069917228236, 0.3160271086864299, -0.4601411391724495, -0.29597719187132904, 0.12139025965597534, 0.1346024304891572, 0.06711682659553607, -0.035260719586812476, -0.3004375988992093, 0.05110216356031057, -0.1831459736390768, -0.09078965349244358, -0.0829578656838208, 0.04665997948673, 0.011251772887181436, -0.2860181328572292, 0.05662646864716341, 0.040984849391532116, 0.06972033892879667, -0.030413378262892365, -0.11538704505875248, 0.030378642105632393, 0.16524033671568916, 0.11391480923529067, 0.010956477383961495, 0.12482872935251563, -0.11767535086424238, -0.16042547397976875, 0.38144378538877854, 0.03243763217872491, -0.19755000533684547, 0.2032773807076265, -0.09748270815285598, -0.20727777353190965, 0.09614743888538425, 0.2527414234220118, 0.09641258685809115, -0.21091571186021293, 0.024270233527467877, 0.029622558477348175, 0.13872472989200818, 0.005851742856211258, 0.0371837369490042, 0.22798883455022628, 0.23844494843396588, -0.014089532473219046, 0.10704280811140948, -0.08217583147916889, -0.11458304848359979, -0.2853887540936146, -0.11387212260666749, -0.11749815361817247, 0.01844388393246977, -0.047240664088652316, -0.15116977896136435, 0.4103493953977401, 0.19713432308407905, 0.18619947251188906, -0.0018815070557731974, 0.2663404883233074, 0.08138614812649894, 0.08705099504542253, 0.04460867692335117, 0.15123804931404858, 0.05105092669702203, 0.09302349664959246, -0.1251247539235603, 0.1292948127079728, -0.011532880075653826] |
708.0344 | Anomalous temperature evolution of the internal magnetic field
distribution in the charge-ordered triangular antiferromagnet AgNiO2 | Zero-field muon-spin relaxation measurements of the frustrated triangular
quantum magnet AgNiO2 are consistent with a model of charge disproportionation
that has been advanced to explain the structural and magnetic properties of
this compound. Below an ordering temperature of T_N=19.9(2) K we observe six
distinct muon precession frequencies, due to the magnetic order, which can be
accounted for with a model describing the probable muon sites. The precession
frequencies show an unusual temperature evolution which is suggestive of the
separate evolution of two opposing magnetic sublattices.
| cond-mat.str-el | zerofield muonspin relaxation measurements of the frustrated triangular quantum magnet agnio2 are consistent with a model of charge disproportionation that has been advanced to explain the structural and magnetic properties of this compound below an ordering temperature of t_n1992 k we observe six distinct muon precession frequencies due to the magnetic order which can be accounted for with a model describing the probable muon sites the precession frequencies show an unusual temperature evolution which is suggestive of the separate evolution of two opposing magnetic sublattices | [['zerofield', 'muonspin', 'relaxation', 'measurements', 'of', 'the', 'frustrated', 'triangular', 'quantum', 'magnet', 'agnio2', 'are', 'consistent', 'with', 'a', 'model', 'of', 'charge', 'disproportionation', 'that', 'has', 'been', 'advanced', 'to', 'explain', 'the', 'structural', 'and', 'magnetic', 'properties', 'of', 'this', 'compound', 'below', 'an', 'ordering', 'temperature', 'of', 't_n1992', 'k', 'we', 'observe', 'six', 'distinct', 'muon', 'precession', 'frequencies', 'due', 'to', 'the', 'magnetic', 'order', 'which', 'can', 'be', 'accounted', 'for', 'with', 'a', 'model', 'describing', 'the', 'probable', 'muon', 'sites', 'the', 'precession', 'frequencies', 'show', 'an', 'unusual', 'temperature', 'evolution', 'which', 'is', 'suggestive', 'of', 'the', 'separate', 'evolution', 'of', 'two', 'opposing', 'magnetic', 'sublattices']] | [-0.19549890443505274, 0.2614340734632736, -0.01746443079762338, 0.0400761370879731, -0.07507250897054162, -0.13039562681556813, 0.016064225529719676, 0.38314506431509343, -0.25904701426181764, -0.30448175920173526, 0.022971016803889403, -0.3032432066808854, -0.04852754161471412, 0.18189252719527021, 0.08650367505227526, -0.045232217847591356, -0.03803156334019843, 0.055258266594527025, -0.11002424885685157, -0.18210001210571222, 0.22992084044519634, 0.045139393241870926, 0.26844399323731305, 0.06847339021485477, 0.09126617368088946, -0.0435509097130437, 0.1199299470033674, 0.05145430634729564, -0.14995106403105074, 0.02325550284513156, 0.22359948016570083, -0.050340646847395136, 0.12988880241755396, -0.42608243391095174, -0.2036378470449043, 0.041710745105298146, 0.1162372885349517, 0.1486516837501854, -0.050415191189607696, -0.2415222935156808, 0.04966621987876438, -0.13514141864808543, -0.14285678976392818, -0.12398364481383137, -0.019858620994325196, 0.009649601679051384, -0.27830995010611204, 0.12562438898852893, 0.13013851922005415, 0.15029414846122519, -0.14388367186100887, -0.15101415054163053, -0.04051697960433861, 0.06727100888799344, 0.11571284805402338, 0.08726107553922616, 0.1347762512963354, -0.04584045097137624, -0.1897925905872225, 0.3317961786496675, -0.015012454958022795, -0.04390926891937852, 0.161090926799391, -0.2435822851978065, -0.11926402706809486, 0.19735478302131274, 0.11904264885621767, 0.08158165046257809, -0.20686514703335152, 0.028481876687562493, -0.02743089979603177, 0.2083351644521047, 0.021637931405123146, 0.032262848989505856, 0.3300958278400469, 0.19416149521601342, 0.03257321043028718, 0.1477411144199626, -0.15751260524016938, -0.07644713616796903, -0.21447404941344367, -0.1269481699647648, -0.16998196611668737, 0.07684728926757262, -0.07892339353410145, -0.1610190283141232, 0.3996166758727105, 0.14352879642752842, 0.2092466586313787, -0.0978326859656677, 0.2699627686732648, 0.10285030081563275, 0.08757847960251161, 0.040101771448029296, 0.2315313646353648, 0.2174340109119103, 0.08751769277400204, -0.36090167804199846, 0.11411926431658988, 0.006244674606326346] |
708.0345 | Quasi-classical rate coefficient calculations for the rotational
(de)excitation of H2O by H2 | The interpretation of water line emission from existing observations and
future HIFI/Herschel data requires a detailed knowledge of collisional rate
coefficients. Among all relevant collisional mechanisms, the rotational
(de)excitation of H2O by H2 molecules is the process of most interest in
interstellar space. To determine rate coefficients for rotational de-excitation
among the lowest 45 para and 45 ortho rotational levels of H2O colliding with
both para and ortho-H2 in the temperature range 20-2000 K. Rate coefficients
are calculated on a recent high-accuracy H2O-H2 potential energy surface using
quasi-classical trajectory calculations. Trajectories are sampled by a
canonical Monte-Carlo procedure. H2 molecules are assumed to be rotationally
thermalized at the kinetic temperature. By comparison with quantum calculations
available for low lying levels, classical rates are found to be accurate within
a factor of 1-3 for the dominant transitions, that is those with rates larger
than a few 10^{-12}cm^{3}s^{-1}. Large velocity gradient modelling shows that
the new rates have a significant impact on emission line fluxes and that they
should be adopted in any detailed population model of water in warm and hot
environments.
| astro-ph | the interpretation of water line emission from existing observations and future hifiherschel data requires a detailed knowledge of collisional rate coefficients among all relevant collisional mechanisms the rotational deexcitation of h2o by h2 molecules is the process of most interest in interstellar space to determine rate coefficients for rotational deexcitation among the lowest 45 para and 45 ortho rotational levels of h2o colliding with both para and orthoh2 in the temperature range 202000 k rate coefficients are calculated on a recent highaccuracy h2oh2 potential energy surface using quasiclassical trajectory calculations trajectories are sampled by a canonical montecarlo procedure h2 molecules are assumed to be rotationally thermalized at the kinetic temperature by comparison with quantum calculations available for low lying levels classical rates are found to be accurate within a factor of 13 for the dominant transitions that is those with rates larger than a few 1012cm3s1 large velocity gradient modelling shows that the new rates have a significant impact on emission line fluxes and that they should be adopted in any detailed population model of water in warm and hot environments | [['the', 'interpretation', 'of', 'water', 'line', 'emission', 'from', 'existing', 'observations', 'and', 'future', 'hifiherschel', 'data', 'requires', 'a', 'detailed', 'knowledge', 'of', 'collisional', 'rate', 'coefficients', 'among', 'all', 'relevant', 'collisional', 'mechanisms', 'the', 'rotational', 'deexcitation', 'of', 'h2o', 'by', 'h2', 'molecules', 'is', 'the', 'process', 'of', 'most', 'interest', 'in', 'interstellar', 'space', 'to', 'determine', 'rate', 'coefficients', 'for', 'rotational', 'deexcitation', 'among', 'the', 'lowest', '45', 'para', 'and', '45', 'ortho', 'rotational', 'levels', 'of', 'h2o', 'colliding', 'with', 'both', 'para', 'and', 'orthoh2', 'in', 'the', 'temperature', 'range', '202000', 'k', 'rate', 'coefficients', 'are', 'calculated', 'on', 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708.0346 | Threshold Regression for Survival Analysis: Modeling Event Times by a
Stochastic Process Reaching a Boundary | Many researchers have investigated first hitting times as models for survival
data. First hitting times arise naturally in many types of stochastic
processes, ranging from Wiener processes to Markov chains. In a survival
context, the state of the underlying process represents the strength of an item
or the health of an individual. The item fails or the individual experiences a
clinical endpoint when the process reaches an adverse threshold state for the
first time. The time scale can be calendar time or some other operational
measure of degradation or disease progression. In many applications, the
process is latent (i.e., unobservable). Threshold regression refers to
first-hitting-time models with regression structures that accommodate covariate
data. The parameters of the process, threshold state and time scale may depend
on the covariates. This paper reviews aspects of this topic and discusses
fruitful avenues for future research.
| stat.ME | many researchers have investigated first hitting times as models for survival data first hitting times arise naturally in many types of stochastic processes ranging from wiener processes to markov chains in a survival context the state of the underlying process represents the strength of an item or the health of an individual the item fails or the individual experiences a clinical endpoint when the process reaches an adverse threshold state for the first time the time scale can be calendar time or some other operational measure of degradation or disease progression in many applications the process is latent ie unobservable threshold regression refers to firsthittingtime models with regression structures that accommodate covariate data the parameters of the process threshold state and time scale may depend on the covariates this paper reviews aspects of this topic and discusses fruitful avenues for future research | [['many', 'researchers', 'have', 'investigated', 'first', 'hitting', 'times', 'as', 'models', 'for', 'survival', 'data', 'first', 'hitting', 'times', 'arise', 'naturally', 'in', 'many', 'types', 'of', 'stochastic', 'processes', 'ranging', 'from', 'wiener', 'processes', 'to', 'markov', 'chains', 'in', 'a', 'survival', 'context', 'the', 'state', 'of', 'the', 'underlying', 'process', 'represents', 'the', 'strength', 'of', 'an', 'item', 'or', 'the', 'health', 'of', 'an', 'individual', 'the', 'item', 'fails', 'or', 'the', 'individual', 'experiences', 'a', 'clinical', 'endpoint', 'when', 'the', 'process', 'reaches', 'an', 'adverse', 'threshold', 'state', 'for', 'the', 'first', 'time', 'the', 'time', 'scale', 'can', 'be', 'calendar', 'time', 'or', 'some', 'other', 'operational', 'measure', 'of', 'degradation', 'or', 'disease', 'progression', 'in', 'many', 'applications', 'the', 'process', 'is', 'latent', 'ie', 'unobservable', 'threshold', 'regression', 'refers', 'to', 'firsthittingtime', 'models', 'with', 'regression', 'structures', 'that', 'accommodate', 'covariate', 'data', 'the', 'parameters', 'of', 'the', 'process', 'threshold', 'state', 'and', 'time', 'scale', 'may', 'depend', 'on', 'the', 'covariates', 'this', 'paper', 'reviews', 'aspects', 'of', 'this', 'topic', 'and', 'discusses', 'fruitful', 'avenues', 'for', 'future', 'research']] | [-0.07147437395901149, 0.14265373475296036, -0.06126851468934869, 0.08646987281280036, -0.08130235956810045, -0.12497530523885755, 0.07538150595451527, 0.3840606045357698, -0.31256939927182087, -0.2687512094036062, 0.16475867349531623, -0.282795592587679, -0.10793698242872107, 0.1758822918611955, -0.07347077806893049, 0.08648719419956419, 0.06391119848150786, 0.08748593368957229, 0.00239188979909894, -0.25442497608918985, 0.3158746713851678, 0.07723828295331633, 0.2888849501940587, 0.016746283184360475, 0.08951428849811514, 0.01925195973525022, -0.051224801629940246, -0.05383419193961519, -0.09887871241486171, 0.061413788137600775, 0.31047968355616173, 0.1939240048097856, 0.36443604023281667, -0.4674397513587424, -0.2647920401489481, 0.15476998091668737, 0.104208584610457, 0.0889279730799641, 0.010296848499387872, -0.2886821136724019, -0.0071641187871317544, -0.1450424620630682, -0.10238537521940386, -0.020260070316850187, 0.04254192768361631, 0.005767412378010175, -0.3005181676080675, 0.09814482643962541, 0.067785284407635, 0.04796143881448194, -0.04955418750722992, -0.15316781510618774, 0.03611194296138929, 0.18056044234759636, 0.11848723492502558, 0.006883877071928471, 0.16569045300971955, -0.16408515323600764, -0.19027057600518069, 0.35800775229693094, -0.021790514856160795, -0.14773328920350748, 0.19202665186401272, -0.13153385127075545, -0.1637400617948502, 0.11801407352776815, 0.2411095248138968, 0.09061060130599463, -0.19021634957210262, 0.04798272074817792, 0.038112681075032295, 0.16279630392050068, 0.03580105355577477, 0.01014941455532156, 0.17281492005584512, 0.24324740960051353, 0.06397870233313821, 0.07687268548121623, -0.0959187910185321, -0.11456502910954415, -0.27602301168598975, -0.1666921470512418, -0.12936146860506306, 0.031815383945763484, -0.1083874833435299, -0.1838978772771591, 0.4029964600154694, 0.20047910054171367, 0.22845517512714714, 0.044049336178664196, 0.24470514962647824, 0.12462672503278689, 0.02356888489312235, 0.011245224337549285, 0.12203542664601692, 0.04735968512889982, 0.09170949778598832, -0.14729654309536944, 0.20314912939880123, -0.020157853834965128] |
708.0347 | Predictability of band-limited, high-frequency, and mixed processes in
the presence of ideal low-pass filters | Pathwise predictability of continuous time processes is studied in
deterministic setting. We discuss uniform prediction in some weak sense with
respect to certain classes of inputs. More precisely, we study possibility of
approximation of convolution integrals over future time by integrals over past
time. We found that all band-limited processes are predictable in this sense,
as well as high-frequency processes with zero energy at low frequencies. It
follows that a process of mixed type still can be predicted if an ideal
low-pass filter exists for this process.
| math.OC | pathwise predictability of continuous time processes is studied in deterministic setting we discuss uniform prediction in some weak sense with respect to certain classes of inputs more precisely we study possibility of approximation of convolution integrals over future time by integrals over past time we found that all bandlimited processes are predictable in this sense as well as highfrequency processes with zero energy at low frequencies it follows that a process of mixed type still can be predicted if an ideal lowpass filter exists for this process | [['pathwise', 'predictability', 'of', 'continuous', 'time', 'processes', 'is', 'studied', 'in', 'deterministic', 'setting', 'we', 'discuss', 'uniform', 'prediction', 'in', 'some', 'weak', 'sense', 'with', 'respect', 'to', 'certain', 'classes', 'of', 'inputs', 'more', 'precisely', 'we', 'study', 'possibility', 'of', 'approximation', 'of', 'convolution', 'integrals', 'over', 'future', 'time', 'by', 'integrals', 'over', 'past', 'time', 'we', 'found', 'that', 'all', 'bandlimited', 'processes', 'are', 'predictable', 'in', 'this', 'sense', 'as', 'well', 'as', 'highfrequency', 'processes', 'with', 'zero', 'energy', 'at', 'low', 'frequencies', 'it', 'follows', 'that', 'a', 'process', 'of', 'mixed', 'type', 'still', 'can', 'be', 'predicted', 'if', 'an', 'ideal', 'lowpass', 'filter', 'exists', 'for', 'this', 'process']] | [-0.11402916217131819, 0.14417784191797162, -0.0678160375856591, 0.10230264351349465, -0.047879538560371804, -0.11021833656484196, 0.057606374823499, 0.45420719905831347, -0.34521489931891364, -0.20813090940362014, 0.12672548923753843, -0.20885416314048671, -0.16018198602886377, 0.23641094459413453, -0.08902501672554504, 0.06425172494638753, 0.06880972864127707, 0.03125652970596292, -0.04778016642292683, -0.2309705540323737, 0.28849634767948895, 0.05526020999960387, 0.23594509466014663, -0.028723026620459623, 0.1088978409119507, 0.016736108507297332, -0.045132062831443956, 0.0064897258557250785, -0.10258203511037356, 0.010964336864591372, 0.3010632624185976, 0.07213740245621095, 0.3064984190438328, -0.4114230191656228, -0.23010490179575724, 0.16229146637621966, 0.12437052699876414, 0.046662586642129494, 0.00033075063962398376, -0.2388288383211555, 0.10560562363330639, -0.13534419703158154, -0.14937492919117, -0.10721371281121311, 0.06151537008412268, 0.045763638850044586, -0.29778143615815145, 0.10759459928363219, 0.10250498875895322, 0.024057460606269454, -0.04337192734371571, -0.08239901819448361, 0.008594251122732443, 0.0899714063210734, 0.058019551124033016, 0.01009078435439231, 0.08595564459910852, -0.10963954509439311, -0.1612347221167908, 0.32798664330708227, -0.1236145088941544, -0.20771738203863302, 0.20297139181873236, -0.2066011934905131, -0.11061661315268312, 0.12923705638332786, 0.15382638121901573, 0.13008492778258762, -0.18666192192862602, 0.10253664404026704, -0.029999238107053714, 0.1257739842965685, 0.10661845108836718, 0.09898836604565725, 0.15383506670658445, 0.15934471533387556, 0.11597232910772336, 0.12380044291668368, -0.02491074329477617, -0.11235855775483852, -0.33749142640281, -0.1428731781184331, -0.15506490129554623, 0.07112454830925784, -0.07911993064596479, -0.1830080292112697, 0.3628200659817406, 0.1507861318960572, 0.20041342577415294, 0.11377687434312599, 0.26464646433656713, 0.20214708568795917, 0.0164704871652969, 0.0625535805345695, 0.1675590998831007, 0.08166943278816667, 0.1017628101305501, -0.10424011845634072, 0.100074026985201, 0.03601840922030909] |
708.0348 | An application of Kapteyn series to a problem from queueing theory | We obtain exact solutions of a problem arising from queueing theory using
properties of Kapteyn series.
| math.CA | we obtain exact solutions of a problem arising from queueing theory using properties of kapteyn series | [['we', 'obtain', 'exact', 'solutions', 'of', 'a', 'problem', 'arising', 'from', 'queueing', 'theory', 'using', 'properties', 'of', 'kapteyn', 'series']] | [-0.12595567127573304, -0.06924769777106121, -0.15997655477258377, 0.0659208347206004, -0.05086172791197896, -0.07230093461112119, 0.1087673228685162, 0.2554282940691337, -0.32687707187142223, -0.27968535176478326, 0.1564537875528913, -0.33088614232838154, -0.2040920564904809, 0.23135501402430236, -0.06612266012234613, 0.10646185814402997, 0.07961739460006356, 0.028259068261832, -0.10103257861919701, -0.1687065486330539, 0.30673226647195406, -0.08671367727220058, 0.20575449848547578, -0.04822016099933535, 0.14274547924287617, 0.0051538944826461375, -0.02881683048326522, 0.06699278589803725, -0.21870693111850414, 0.1630765699010226, 0.29322167688224, 0.15277988370507956, 0.24587541537994184, -0.5164081952534616, -0.20734193036332726, 0.010004398180171847, 0.11454627808416262, 0.1538178315386176, -0.05805440037511289, -0.2746519073843956, 0.09527230693493038, -0.21177204116247594, -0.17353649344295263, -0.024240346625447273, -0.06997852888889611, 0.11594126734416932, -0.28915655764285475, 0.14476939284941182, -0.06697755632922053, 0.09724370954791084, -0.15772959764581174, -0.07678392250090837, 0.09371042088605464, 0.15846989137935452, 0.15277001756476238, -0.10661192049155943, 0.0051298126636538655, -0.13637631759047508, -0.1578286220319569, 0.395260977500584, -0.11112076038261876, -0.17428772244602442, 0.13788023527013138, -0.04140282329171896, -0.2065823968150653, 0.1162940121430438, 0.19963875712710433, 0.20807616598904133, -0.2011611689813435, 0.21568952617235482, -0.09164242280530743, 0.11983985727420077, 0.08534113387577236, 0.06054124311776832, 0.13073565758531913, 0.10951610503252596, 0.015785643830895424, 0.24552819808013737, -0.01236788634560071, -0.1476704099914059, -0.29501976212486625, -0.07084119450155413, -0.13148079448728822, 0.1855505223502405, -0.09249610619735904, -0.24172784248366952, 0.37254028173629194, 0.07060889579588547, 0.13862134865485132, 0.14297890471061692, 0.17152117029763758, 0.22753650962840766, -0.10094138467684388, 0.048130078124813735, 0.12134446459822357, 0.20138418971328065, 0.09677911328617483, -0.15158960000553634, -0.03298987488960847, 0.2073359126225114] |
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