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711.5008 | Smoothness criteria for Navier-Stokes equations in terms of regularity
along the steam lines | This article is devoted to a regularity criteria for solutions of the
Navier-Stokes equations in terms of regularity along the stream lines. More
precisely, we prove that a suitable weak solution for the Navier-Stokes
equations is regular under some constraint on the second derivative of |u|
along the stream lines.
| math.AP | this article is devoted to a regularity criteria for solutions of the navierstokes equations in terms of regularity along the stream lines more precisely we prove that a suitable weak solution for the navierstokes equations is regular under some constraint on the second derivative of u along the stream lines | [['this', 'article', 'is', 'devoted', 'to', 'a', 'regularity', 'criteria', 'for', 'solutions', 'of', 'the', 'navierstokes', 'equations', 'in', 'terms', 'of', 'regularity', 'along', 'the', 'stream', 'lines', 'more', 'precisely', 'we', 'prove', 'that', 'a', 'suitable', 'weak', 'solution', 'for', 'the', 'navierstokes', 'equations', 'is', 'regular', 'under', 'some', 'constraint', 'on', 'the', 'second', 'derivative', 'of', 'u', 'along', 'the', 'stream', 'lines']] | [-0.20996715190587564, -0.029605395179241895, -0.059148999073077, 0.05960316025884822, -0.10814707964658737, -0.09349799865856767, -0.010900528067722917, 0.282214538063854, -0.29672793939709663, -0.16381119376048445, 0.15299625385319815, -0.29612787783145905, -0.0740357819199562, 0.195328981988132, -0.08088775962591171, 0.09489900462329387, 0.10234197488054633, 0.048704060688614846, -0.09545468279626221, -0.2478620669618249, 0.40385114774107933, -0.05550424613058567, 0.23906628046184777, 0.012408721571555361, 0.13392950577661394, -0.07490180903114378, 0.0050352377258241175, 0.04134765323251486, -0.2128479689040978, 0.12375321045517922, 0.1965671163983643, 0.06962497912812977, 0.31458722505718467, -0.4449267206341028, -0.20205145739018918, 0.046028383411467075, 0.13142568961717188, 0.09267888872418553, -0.024101924918650184, -0.2750262473337352, 0.1622213147394359, -0.07313440028578043, -0.23028091164305806, -0.019169585146009922, 0.05319767244160176, 0.09565012529492378, -0.29996224800124766, 0.08553149227052927, 0.10784677661256864, 0.07499301059171558, -0.14493692600168287, -0.02729458762332797, -0.02091082911938429, 0.01196215177886188, 0.10068484647199512, 0.030664166295900942, -0.006715804189443588, -0.17422556194942446, 0.006752179004251957, 0.4103257562220097, -0.111276331320405, -0.31785916067659853, 0.16230452187359334, -0.12112643167376519, -0.16165597017854452, 0.13322002550772594, 0.1389183188509196, 0.18528314968571066, -0.18718195701017976, 0.14057295953854917, -0.08555150797590613, 0.1568768234923482, 0.12280582135543228, 0.009576683025807142, 0.10826555013656616, 0.07957210190594197, 0.21005859779193997, 0.1473517498304136, -0.04254477250855416, -0.09222330778837204, -0.38690281730145215, -0.19876575069269165, -0.08976743198931217, 0.060655287886038425, -0.1080516206473112, -0.18709616169333457, 0.4166386267542839, 0.16230482744053007, 0.14110272157937287, 0.06937214380130172, 0.26279426157474517, 0.19644385715946555, -0.007492146178337862, 0.09063180928118526, 0.17806662553281058, 0.16622851695399732, 0.1812851353827864, -0.17402342308836524, 0.07036546923220158, 0.1960152273438871] |
711.5009 | The Yagita invariant of general linear groups | We give a definition of the Yagita invariant at a prime p of an arbitrary
group G, and compute the invariant for each prime for the general linear groups
over any integrally closed subring of the complex numbers. We also compute the
invariants for special linear groups over the same rings, except in some cases
when both the degree of the linear group and the ring are `small' compared to
p.
| math.GR math.AT | we give a definition of the yagita invariant at a prime p of an arbitrary group g and compute the invariant for each prime for the general linear groups over any integrally closed subring of the complex numbers we also compute the invariants for special linear groups over the same rings except in some cases when both the degree of the linear group and the ring are small compared to p | [['we', 'give', 'a', 'definition', 'of', 'the', 'yagita', 'invariant', 'at', 'a', 'prime', 'p', 'of', 'an', 'arbitrary', 'group', 'g', 'and', 'compute', 'the', 'invariant', 'for', 'each', 'prime', 'for', 'the', 'general', 'linear', 'groups', 'over', 'any', 'integrally', 'closed', 'subring', 'of', 'the', 'complex', 'numbers', 'we', 'also', 'compute', 'the', 'invariants', 'for', 'special', 'linear', 'groups', 'over', 'the', 'same', 'rings', 'except', 'in', 'some', 'cases', 'when', 'both', 'the', 'degree', 'of', 'the', 'linear', 'group', 'and', 'the', 'ring', 'are', 'small', 'compared', 'to', 'p']] | [-0.2282784845234013, 0.0797646926065438, -0.08296445991293015, 0.060654087805412184, -0.03964840792591723, -0.1504993870146048, -0.03110423213867864, 0.3050830623948238, -0.32736525535714667, -0.23352045122481568, 0.07423048023573897, -0.22443810270928685, -0.08805475154445624, 0.23648062925523436, -0.06297778011575131, -0.014880806791373121, -0.020998613728525142, 0.17862184837617925, -0.1046328725371982, -0.3060388502887857, 0.3607970170256957, -0.02200071480859753, 0.17632514090132964, -0.0007412268740820213, 0.0933658197377874, 0.06710954058364453, -0.03003569646463008, 0.036683050704263045, -0.15208772188183708, 0.0975348721061584, 0.3026723465554311, 0.031136272317716773, 0.21697254225113233, -0.3640644409182206, -0.10446661860931297, 0.2076957559370449, 0.09802378978068665, 0.04824101733384838, -0.02047296361604207, -0.2049664783120995, 0.18034405424095637, -0.18189252315365387, -0.1512668871019088, -0.06894904674804757, 0.13614068648607378, 0.04817438647019821, -0.28048469619431965, -0.03041359715690036, 0.06962290044191857, 0.16723111366302196, -0.051908694273254403, -0.13058592431398083, 0.0018992105853074873, 0.11662126918738171, -0.02101564159433187, -0.0023509010108528844, 0.07520564294643176, -0.10450775188092194, -0.09305580251548491, 0.417478495316816, -0.07448883775070729, -0.21596297548926421, 0.1335524743370397, -0.22590423322899242, -0.1723319318270127, 0.1483696229988709, 0.13900126023611553, 0.17948619522233034, 0.004067459496838356, 0.1756479371007873, -0.16178965828263422, 0.05942358881969687, 0.08483732900333027, 0.01797182876764285, 0.1400689405559654, 0.016533243214108154, 0.09436555026946786, 0.13535465437813965, -0.008226485293306095, 0.015214675853789692, -0.3897629675101226, -0.19818741635380077, -0.11745032034552014, 0.07111585598019227, -0.1299293498491416, -0.139090740508859, 0.4415703721764222, 0.015069497381927262, 0.1752228290695225, 0.13982250263363544, 0.23911922425031662, 0.08789234971758765, 0.09189391580187309, 0.11876224015485233, 0.08694847609764161, 0.18596468212633904, -0.07501891317357584, -0.18483229123160871, -0.000768027130619321, 0.08102169525350483] |
711.501 | Massless Sine-Gordon and Massive Thirring Models: proof of the Coleman's
equivalence | We prove the Coleman's conjecture on the equivalence between the massless
Sine-Gordon model with finite volume interaction and the Thirring model with a
finite volume mass term.
| hep-th math-ph math.MP | we prove the colemans conjecture on the equivalence between the massless sinegordon model with finite volume interaction and the thirring model with a finite volume mass term | [['we', 'prove', 'the', 'colemans', 'conjecture', 'on', 'the', 'equivalence', 'between', 'the', 'massless', 'sinegordon', 'model', 'with', 'finite', 'volume', 'interaction', 'and', 'the', 'thirring', 'model', 'with', 'a', 'finite', 'volume', 'mass', 'term']] | [-0.13926348328176472, 0.1921965022812839, -0.07943991585462182, 0.1031945379519904, -0.04457287421381032, -0.1629440859693137, 0.011152220958912815, 0.24591655463532167, -0.211629300136809, -0.26393084441898046, 0.04055174535002421, -0.31436100394327054, -0.11238138377666473, 0.07633102152289616, 0.0025087411825855574, -0.006303748874752609, 0.0391422746082147, 0.0961468663342573, -0.09364449108640353, -0.2966527419026803, 0.35323196767691384, -0.07616877797301169, 0.2747206415774094, 0.17123148452352593, 0.1727541489181695, 0.031076519853538938, 0.032924375186363854, -0.014051956986939465, -0.16718851654203953, 0.04204533683756987, 0.11402822344744992, -0.0038494664261600484, 0.20795147084734505, -0.3723608369904536, -0.22790000961093163, 0.15334645893286775, 0.09126859527357199, 0.12074728596403643, -0.05560091734191196, -0.31989816741810906, 0.03146618435642234, -0.2478202182661604, -0.2065898285212892, 0.015922973191158638, -0.014863489851079605, -0.03628414958991386, -0.2372869713300908, 0.16190880081719822, 0.019427578068441816, 0.03405273867840016, -0.12459921194844086, -0.01661174709874171, -0.08384891075116617, 0.026045788338200912, 0.07710196283921876, 0.01320070863046028, -0.009615258072261457, -0.0940727951625983, -0.05809276964929369, 0.38731937551939927, -0.13575540041482007, -0.2779725020820344, 0.1661923541514962, -0.1616809345367882, -0.08177098369708767, 0.04754344794761251, 0.09563290203611056, 0.06654574323652519, -0.086761431320122, 0.22405530146486988, -0.1125131403958356, 0.15267485111123985, 0.05994301344509478, -0.07362495348961265, 0.21602421545389075, 0.16522422136255988, 0.010087843122029747, 0.15932550487815644, -0.00747105919893969, -0.18022000106672445, -0.3859104850777873, -0.1438340354986765, -0.1459690182366305, 0.062277498154866474, -0.19306370020893626, -0.24633710517513532, 0.30130421163307297, 0.11895885711742772, 0.15401643335267348, 0.21992595276484886, 0.2351063702393461, 0.12791469961370308, 0.085823320404247, 0.04999427040349002, 0.1556719914768581, 0.24394707264447654, 0.02951636305078864, -0.30222302992586736, -0.12618437957846457, 0.3077023937194436] |
711.5011 | On subgroups of Coxeter groups | A right-angled Coxeter group is a group with a given set of generators of
order two, subject only to the relations that certain pairs of the generators
commute. Various papers have shown how homological properties of the Coxeter
group are related to homological properties of the simplicial complex whose
simplices are the sets of commuting generators.
Using these techniques, we construct torsion-free groups which are Poincare
duality groups over some rings but not over others, and a group whose integral
cohomological dimension is finite but strictly greater than its cohomological
dimension over any field.
We determine which Coxeter groups have finite virtual cohomological dimension
(it is classical that all finitely generated Coxeter groups have finite vcd,
but there are others). We also give minimal presentations for certain
torsion-free finite-index subgroups of right-angled Coxter groups. Finally we
give a `bare-hands' construction (using free products with amalgamation and HNN
extensions) of a torsion-free group whose integral cohomological dimension is
strictly greater than its rational cohomological dimension.
| math.GR | a rightangled coxeter group is a group with a given set of generators of order two subject only to the relations that certain pairs of the generators commute various papers have shown how homological properties of the coxeter group are related to homological properties of the simplicial complex whose simplices are the sets of commuting generators using these techniques we construct torsionfree groups which are poincare duality groups over some rings but not over others and a group whose integral cohomological dimension is finite but strictly greater than its cohomological dimension over any field we determine which coxeter groups have finite virtual cohomological dimension it is classical that all finitely generated coxeter groups have finite vcd but there are others we also give minimal presentations for certain torsionfree finiteindex subgroups of rightangled coxter groups finally we give a barehands construction using free products with amalgamation and hnn extensions of a torsionfree group whose integral cohomological dimension is strictly greater than its rational cohomological dimension | [['a', 'rightangled', 'coxeter', 'group', 'is', 'a', 'group', 'with', 'a', 'given', 'set', 'of', 'generators', 'of', 'order', 'two', 'subject', 'only', 'to', 'the', 'relations', 'that', 'certain', 'pairs', 'of', 'the', 'generators', 'commute', 'various', 'papers', 'have', 'shown', 'how', 'homological', 'properties', 'of', 'the', 'coxeter', 'group', 'are', 'related', 'to', 'homological', 'properties', 'of', 'the', 'simplicial', 'complex', 'whose', 'simplices', 'are', 'the', 'sets', 'of', 'commuting', 'generators', 'using', 'these', 'techniques', 'we', 'construct', 'torsionfree', 'groups', 'which', 'are', 'poincare', 'duality', 'groups', 'over', 'some', 'rings', 'but', 'not', 'over', 'others', 'and', 'a', 'group', 'whose', 'integral', 'cohomological', 'dimension', 'is', 'finite', 'but', 'strictly', 'greater', 'than', 'its', 'cohomological', 'dimension', 'over', 'any', 'field', 'we', 'determine', 'which', 'coxeter', 'groups', 'have', 'finite', 'virtual', 'cohomological', 'dimension', 'it', 'is', 'classical', 'that', 'all', 'finitely', 'generated', 'coxeter', 'groups', 'have', 'finite', 'vcd', 'but', 'there', 'are', 'others', 'we', 'also', 'give', 'minimal', 'presentations', 'for', 'certain', 'torsionfree', 'finiteindex', 'subgroups', 'of', 'rightangled', 'coxter', 'groups', 'finally', 'we', 'give', 'a', 'barehands', 'construction', 'using', 'free', 'products', 'with', 'amalgamation', 'and', 'hnn', 'extensions', 'of', 'a', 'torsionfree', 'group', 'whose', 'integral', 'cohomological', 'dimension', 'is', 'strictly', 'greater', 'than', 'its', 'rational', 'cohomological', 'dimension']] | [-0.18463663582727427, 0.17080543967492787, -0.1270762205204386, 0.07389689678107791, -0.1498948948940745, -0.17313877497167315, -0.03642619818083965, 0.3832336127395845, -0.33492930899201717, -0.202786613781764, 0.11838296275330064, -0.276852740360033, -0.11333930445260104, 0.2302956390309573, -0.16463242435431177, -0.044819755644974424, 0.03367253727521057, 0.17206600464788485, -0.09429009427477456, -0.3662483459309801, 0.43552045168263126, -0.07585869198032644, 0.2300930435993467, 0.020552780096890565, 0.12640266959773905, 0.007298893183124838, -0.06005304415112384, 0.026893610508399612, -0.14897324369379886, 0.1546403887440209, 0.3136873353174945, 0.03645001942677033, 0.16967199867257826, -0.3590106840509875, -0.1508626637239811, 0.26010118472033444, 0.14703359068615685, 0.002883135487704917, -0.058794432463423335, -0.26821049447688794, 0.1583344740908087, -0.2305006332448281, -0.14867117355957074, -0.07777469232103523, 0.08180841877855315, -0.009517759533116111, -0.18497287516804112, -0.0388404290627668, 0.06050642106371621, 0.21889477103005772, -0.030984482276655824, -0.10661363623386685, -0.08154414139363202, 0.14294157173401204, -0.011158308893856075, -0.046145305017377306, 0.10504591673681582, -0.04889709363909967, -0.16706990508684588, 0.41676416772095787, 0.05984416110444682, -0.2672532735001526, 0.20794160176430726, -0.22120799165920435, -0.17534043083404316, 0.16225783403583424, 0.06132085086133929, 0.12146214197999165, -0.019900153276085117, 0.19542380730423178, -0.19720643082127712, 0.07152403488519521, 0.08960009283777097, 0.041248779732412026, 0.05073051745026016, 0.033936347611202504, 0.1098410220928835, 0.10320610416202265, 0.11502892156361522, 0.031445774614787946, -0.36183900324006874, -0.2019665393143688, -0.07856456122007566, 0.11871474510912833, -0.14629138065886504, -0.19020865953230603, 0.3991512205267762, 0.06437776830546087, 0.07709366399837934, 0.1764677902202145, 0.19870842516675224, 0.03776469070941891, 0.14414937108364187, 0.07139785858848488, 0.05967887876613531, 0.24909302774805253, -0.132627226966347, -0.10095308232624199, -0.03219205958561765, 0.2614625814244335] |
711.5012 | High-energy gravitational scattering and black hole resonances | Aspects of super-planckian gravitational scattering and black hole formation
are investigated, largely via a partial-wave representation. At large and
decreasing impact parameters, amplitudes are expected to be governed by single
graviton exchange, and then by eikonalized graviton exchange, for which
partial-wave amplitudes are derived. In the near-Schwarzschild regime,
perturbation theory fails. However, general features of gravitational
scattering associated with black hole formation suggest a particular form for
amplitudes, which we express as a black hole ansatz. We explore features of
this ansatz, including its locality properties. These amplitudes satisfy
neither the Froissart bound, nor apparently the more fundamental property of
polynomial boundedness, through which locality is often encoded in an S-matrix
framework. Nevertheless, these amplitudes do satisfy a macroscopic form of
causality, expressed as a polynomial bound for the forward-scattering
amplitude.
| hep-th gr-qc | aspects of superplanckian gravitational scattering and black hole formation are investigated largely via a partialwave representation at large and decreasing impact parameters amplitudes are expected to be governed by single graviton exchange and then by eikonalized graviton exchange for which partialwave amplitudes are derived in the nearschwarzschild regime perturbation theory fails however general features of gravitational scattering associated with black hole formation suggest a particular form for amplitudes which we express as a black hole ansatz we explore features of this ansatz including its locality properties these amplitudes satisfy neither the froissart bound nor apparently the more fundamental property of polynomial boundedness through which locality is often encoded in an smatrix framework nevertheless these amplitudes do satisfy a macroscopic form of causality expressed as a polynomial bound for the forwardscattering amplitude | [['aspects', 'of', 'superplanckian', 'gravitational', 'scattering', 'and', 'black', 'hole', 'formation', 'are', 'investigated', 'largely', 'via', 'a', 'partialwave', 'representation', 'at', 'large', 'and', 'decreasing', 'impact', 'parameters', 'amplitudes', 'are', 'expected', 'to', 'be', 'governed', 'by', 'single', 'graviton', 'exchange', 'and', 'then', 'by', 'eikonalized', 'graviton', 'exchange', 'for', 'which', 'partialwave', 'amplitudes', 'are', 'derived', 'in', 'the', 'nearschwarzschild', 'regime', 'perturbation', 'theory', 'fails', 'however', 'general', 'features', 'of', 'gravitational', 'scattering', 'associated', 'with', 'black', 'hole', 'formation', 'suggest', 'a', 'particular', 'form', 'for', 'amplitudes', 'which', 'we', 'express', 'as', 'a', 'black', 'hole', 'ansatz', 'we', 'explore', 'features', 'of', 'this', 'ansatz', 'including', 'its', 'locality', 'properties', 'these', 'amplitudes', 'satisfy', 'neither', 'the', 'froissart', 'bound', 'nor', 'apparently', 'the', 'more', 'fundamental', 'property', 'of', 'polynomial', 'boundedness', 'through', 'which', 'locality', 'is', 'often', 'encoded', 'in', 'an', 'smatrix', 'framework', 'nevertheless', 'these', 'amplitudes', 'do', 'satisfy', 'a', 'macroscopic', 'form', 'of', 'causality', 'expressed', 'as', 'a', 'polynomial', 'bound', 'for', 'the', 'forwardscattering', 'amplitude']] | [-0.172788404880199, 0.1757562524398404, -0.1132760234714414, 0.15753275708008843, -0.10181986024030126, -0.1370260601218503, 0.02113356993515761, 0.2802681031780174, -0.23366048671305178, -0.2680038591416983, 0.05155469014201886, -0.2521212082929336, -0.16128847912992708, 0.17098372989746097, 0.025326317820984583, 0.04291163180874159, 0.030276706806706407, 0.046148525722897966, -0.0947083023448403, -0.18857503686046515, 0.36320643757756516, 0.03822112505754026, 0.25002184932370886, 0.06691374693495723, 0.06212005993852822, 0.07156759169517429, -0.007371656598451619, 0.0006730028714698094, -0.11779802949525989, 0.10362693044858483, 0.22726912709096303, 0.1193818597552868, 0.15433794838877823, -0.4516925071437772, -0.21320032150699542, 0.062390794117863364, 0.20715646172443836, 0.13910524807243535, -0.007386888680607976, -0.26713036531582474, 0.06084480531146535, -0.20619840750900598, -0.1610179068037094, -0.10787535825959192, 0.04105498942618187, -0.027741859395665903, -0.276294313933557, 0.11934299888626601, 0.04431785392001844, -0.026948129636450456, -0.06471577547938348, -0.05573839916167064, -0.034265634041422834, 0.04750710857244065, 0.09532277837861329, 0.01959858091476445, 0.13096185693732249, -0.14596239204267755, -0.08529651395063131, 0.3401922525748467, -0.037639763568026514, -0.19924316831076375, 0.14426381351748624, -0.1877069749797766, -0.15068939156257188, 0.1418543593492359, 0.12898805828478474, 0.1279313215547098, -0.1823376758597218, 0.14185089152888394, 0.011987891830862142, 0.17467434127062845, 0.1764273861888796, 0.16020075665885367, 0.28937754426151513, 0.06751587177770069, -0.03395179709813629, 0.08511020570697908, -0.008257424796018034, -0.1011426763752332, -0.35278295039987334, -0.0456558795995079, -0.1442442363376568, 0.07917188837925027, -0.12847609334376803, -0.18917254422648022, 0.2754865380362249, 0.08214688498455171, 0.18694238572811278, 0.0788447358027602, 0.23660335638918556, 0.17917306445574818, 0.07934040116289487, 0.08743269710371701, 0.3027144976390096, 0.16925167368653302, 0.06999001103596618, -0.24162982761000212, 0.06505369781337392, 0.11477945699320677] |
711.5013 | Chern classes and extraspecial groups | The mod-p cohomology ring of the extraspecial p-group of exponent p is
studied for odd p. We investigate the subquotient ch(G) generated by Chern
classes modulo the nilradical. The subring of ch(G) generated by Chern classes
of one-dimensional representations was studied by Tezuka and Yagita. The
subring generated by the Chern classes of the faithful irreducible
representations is a polynomial algebra. We study the interplay between these
two families of generators, and obtain some relations between them.
| math.GR math.AT | the modp cohomology ring of the extraspecial pgroup of exponent p is studied for odd p we investigate the subquotient chg generated by chern classes modulo the nilradical the subring of chg generated by chern classes of onedimensional representations was studied by tezuka and yagita the subring generated by the chern classes of the faithful irreducible representations is a polynomial algebra we study the interplay between these two families of generators and obtain some relations between them | [['the', 'modp', 'cohomology', 'ring', 'of', 'the', 'extraspecial', 'pgroup', 'of', 'exponent', 'p', 'is', 'studied', 'for', 'odd', 'p', 'we', 'investigate', 'the', 'subquotient', 'chg', 'generated', 'by', 'chern', 'classes', 'modulo', 'the', 'nilradical', 'the', 'subring', 'of', 'chg', 'generated', 'by', 'chern', 'classes', 'of', 'onedimensional', 'representations', 'was', 'studied', 'by', 'tezuka', 'and', 'yagita', 'the', 'subring', 'generated', 'by', 'the', 'chern', 'classes', 'of', 'the', 'faithful', 'irreducible', 'representations', 'is', 'a', 'polynomial', 'algebra', 'we', 'study', 'the', 'interplay', 'between', 'these', 'two', 'families', 'of', 'generators', 'and', 'obtain', 'some', 'relations', 'between', 'them']] | [-0.2645876827323205, 0.1594634824371957, -0.042759785646355, 0.046243247941934636, -0.05316397989570925, -0.14390566503000143, -0.0569019563883156, 0.32380016839929987, -0.37879831926872976, -0.2415453609647592, 0.02839753461106644, -0.2568581411615014, -0.14026268398352934, 0.20125687771851752, -0.061741633824520296, -0.00707607346211935, -0.005690711483891521, 0.06818502063125179, -0.10932641579805837, -0.30399120729658513, 0.43588280768508647, -0.08621013341108699, 0.21593261008187162, -0.021898051566601573, 0.07926701714417764, -0.01624007426299058, -0.029624913286949908, -0.051203179656975455, -0.20139509114110238, 0.13160852404226633, 0.3266119196188527, -0.009705989270821794, 0.14866712402141133, -0.3386750597168099, -0.07328887678102239, 0.2498418063820376, 0.07412191992020839, -0.038815205058010366, -0.0033952543491576254, -0.3160084324417176, 0.1853158629511471, -0.2616935922195772, -0.12154962286933677, -0.09643076279188519, 0.1573197145087572, 0.024671284406288685, -0.23119742036252827, -0.0315741840991881, 0.12249423605813221, 0.22591611222884098, -0.03745915900383677, -0.08866185608452984, -0.08540701165238952, 0.06416784651432332, -0.021576758709965976, -0.04751615725493954, 0.05832078402813572, -0.11658076888748578, -0.1797620833113596, 0.36735196222926114, -0.024695612103134007, -0.17157555460421878, 0.10248870151298871, -0.18764495907665849, -0.11959544278971561, 0.12215508040427775, 0.026103679465686345, 0.1366800916344895, 0.0318467590274507, 0.21512795404029114, -0.16374954004324488, 0.06765774807359043, 0.10202365714524474, -0.003654469106975314, 0.1476075870601775, 0.030613485917255476, -0.02920734214062754, 0.21125371592095146, 0.05662421124659225, 0.04486934548582543, -0.34557559555275486, -0.2157056529752233, -0.19028309433624246, 0.12575687436302277, -0.07380447318352602, -0.06884108726902828, 0.49203614387419314, 0.02273899174065559, 0.14726625882427802, 0.10520792261443355, 0.16056177566771385, 0.0890738715889392, 0.08330105154400134, 0.047045038584408096, 0.08367958340329698, 0.25735288479837115, -0.09490625522486479, -0.19591756432329294, -0.0013623263954499422, 0.28319444500103397] |
711.5014 | On universally stable elements | We show that certain subrings of the cohomology of a finite p-group P may be
realised as the images of restriction from suitable virtually free groups. We
deduce that the cohomology of P is a finite module for any such subring.
Examples include the ring of `universally stable elements' defined by Evens and
Priddy, and rings of invariants such as the mod-2 Dickson algebras.
| math.GR math.AT | we show that certain subrings of the cohomology of a finite pgroup p may be realised as the images of restriction from suitable virtually free groups we deduce that the cohomology of p is a finite module for any such subring examples include the ring of universally stable elements defined by evens and priddy and rings of invariants such as the mod2 dickson algebras | [['we', 'show', 'that', 'certain', 'subrings', 'of', 'the', 'cohomology', 'of', 'a', 'finite', 'pgroup', 'p', 'may', 'be', 'realised', 'as', 'the', 'images', 'of', 'restriction', 'from', 'suitable', 'virtually', 'free', 'groups', 'we', 'deduce', 'that', 'the', 'cohomology', 'of', 'p', 'is', 'a', 'finite', 'module', 'for', 'any', 'such', 'subring', 'examples', 'include', 'the', 'ring', 'of', 'universally', 'stable', 'elements', 'defined', 'by', 'evens', 'and', 'priddy', 'and', 'rings', 'of', 'invariants', 'such', 'as', 'the', 'mod2', 'dickson', 'algebras']] | [-0.21996766777010635, 0.11726702340092743, -0.11343299295549514, 0.051293151549543836, -0.0434668062516721, -0.13750726981379557, -0.06030848211230477, 0.3120428945403546, -0.4185760998807382, -0.2044779540010495, 0.1321128100680653, -0.19719309353968129, -0.12107237706368323, 0.2276666114339605, -0.15706338915333617, -0.03627306828275323, 0.03847491093620192, 0.1409010727002169, -0.06869972381537082, -0.2955634468526114, 0.4206152121842024, -0.04648225105847814, 0.1722424090403365, 0.042207484766549896, 0.09060708103606885, 0.01536961151577998, -0.007853599257941823, 0.01995106325193774, -0.14423499201916457, 0.06339399385615252, 0.3537222001759801, 0.07219910598360002, 0.1696229520603083, -0.36852278307196684, -0.11511500872438774, 0.20944629159930628, 0.12409958231728524, 0.015097183684702031, -0.04657251556864139, -0.25279819453135133, 0.18195572753757006, -0.2709949142881669, -0.14106350247675437, -0.09209243678196799, 0.10899099939888401, 0.0868099619547138, -0.2779069685784634, -0.02807109261630103, 0.12391203589868383, 0.1997335290943738, -0.07027195029513678, -0.10039604244957445, -0.09345041211054195, 0.098795001002145, -0.07055694803784718, -0.03497148670066963, 0.15277636474638712, -0.07231385202612728, -0.16346294836148445, 0.41917365323752165, -0.06485457476810552, -0.16314421806600876, 0.11585391141125001, -0.1911947327243979, -0.13845883582689567, 0.11824605433662327, 0.0006739753880538046, 0.19108747644349933, 0.03251770292990841, 0.22542446822444617, -0.15880166525312234, 0.052593183325370774, 0.09650058714032639, 0.018434916710248217, 0.12927512696478516, 0.03154834741144441, 0.05182355225451829, 0.12445074286188174, 0.059067958092782646, 0.06090942722221371, -0.40080008236691356, -0.2411425729515031, -0.14677831132576102, 0.13087881152750924, -0.08566031049986123, -0.17333291528120753, 0.394371961185243, 0.06296443163046206, 0.15070995953283273, 0.09306863902020268, 0.1985388222092297, 0.040905019424826605, 0.16121290213777684, 0.008770181135332678, 0.06921577217872255, 0.22272209605944226, -0.08771062520099804, -0.1287469772687473, -0.0061782654374837875, 0.2010140426500584] |
711.5015 | One-loop Integral Coefficients from Generalized Unitarity | I describe a method for determining the coefficients of scalar integrals for
one-loop amplitudes in quantum field theory. The method is based upon
generalized unitarity and the behavior of amplitudes when the free parameters
of the cut momenta approach infinity. The method works for arbitrary masses of
both external and internal legs of the amplitudes. It therefore applies not
only to QCD but also to the Electroweak theory and to quantum field theory in
general.
| hep-ph | i describe a method for determining the coefficients of scalar integrals for oneloop amplitudes in quantum field theory the method is based upon generalized unitarity and the behavior of amplitudes when the free parameters of the cut momenta approach infinity the method works for arbitrary masses of both external and internal legs of the amplitudes it therefore applies not only to qcd but also to the electroweak theory and to quantum field theory in general | [['i', 'describe', 'a', 'method', 'for', 'determining', 'the', 'coefficients', 'of', 'scalar', 'integrals', 'for', 'oneloop', 'amplitudes', 'in', 'quantum', 'field', 'theory', 'the', 'method', 'is', 'based', 'upon', 'generalized', 'unitarity', 'and', 'the', 'behavior', 'of', 'amplitudes', 'when', 'the', 'free', 'parameters', 'of', 'the', 'cut', 'momenta', 'approach', 'infinity', 'the', 'method', 'works', 'for', 'arbitrary', 'masses', 'of', 'both', 'external', 'and', 'internal', 'legs', 'of', 'the', 'amplitudes', 'it', 'therefore', 'applies', 'not', 'only', 'to', 'qcd', 'but', 'also', 'to', 'the', 'electroweak', 'theory', 'and', 'to', 'quantum', 'field', 'theory', 'in', 'general']] | [-0.11036030050677557, 0.21730573361118635, -0.12069857290014624, 0.1003005547588691, -0.07082796044647693, -0.1356255141583582, 0.05416748689642797, 0.3275264984120925, -0.20372080706059933, -0.25735024665792783, 0.02782318086363375, -0.22110389514515796, -0.1532507614977658, 0.193624929189682, 0.01573235002656778, 0.08015122891558955, 0.019794511017729142, 0.09360156194617351, -0.0725136873871088, -0.2566107354313135, 0.33041250963384905, 0.010916889398358762, 0.257670352011919, 0.10271714993442098, 0.10544758151983842, 0.08088604243316998, -0.03169074897964796, 0.016163196141521136, -0.10298284675305089, 0.11204144475360711, 0.20911056141058604, 0.07231363542998831, 0.16240758158576984, -0.406844059402744, -0.18311971633384624, 0.040908184920748075, 0.1350992364808917, 0.18233299260338148, 0.05460319050898155, -0.23628527039041122, 0.07364788318673769, -0.1504269014671445, -0.21620829530060293, -0.12071197027961413, 0.0037751739875723916, -0.057063218159601095, -0.2994246836565435, 0.056195681153719, 0.027878930245836576, 0.030904848103721936, -0.05503261932171881, -0.09928170504824568, 0.004993514691789945, 0.09207370037717434, 0.09741265105394026, 0.04301956115290523, 0.1130582631379366, -0.21020117163658142, -0.12000236378517001, 0.3760702052867661, -0.046001305923176306, -0.23384026839087407, 0.12345802331032853, -0.16265017663439116, -0.14218377808729807, 0.11181438752760489, 0.15285722623268763, 0.1666655794531107, -0.14995216126029845, 0.1945569990738295, 0.04788794086780399, 0.13094099134206771, 0.086867989472424, 0.02194072728122895, 0.1750538032874465, 0.03848246682124833, 0.022708634609977404, 0.08065881982445716, -0.031059262131651243, -0.15310674322148163, -0.3883800367017587, -0.13506857072934508, -0.13820438294050594, 0.014363564939121715, -0.12137344526689654, -0.21023259598761798, 0.37618770335490503, 0.17072441473603248, 0.1712761913612485, 0.0675274159759283, 0.3315831847116351, 0.16910251164187987, 0.0923983725408713, 0.05158305377388994, 0.2528708063190182, 0.21451681367432077, 0.07653460056210558, -0.2685690318048, -0.04427402295172214, 0.14147355147947868] |
711.5016 | On the GL(V)-module structure of K(n)^*(BV) | We study the question of whether the Morava K-theory of the classifying space
of an elementary abelian group V is a permutation module (in either of two
distinct senses) for the automorphism group of V. We use Brauer characters and
computer calculations.
We construct and implement an algorithm for finding permutation submodules of
maximal dimension inside modules for p-groups in characteristic p.
| math.AT | we study the question of whether the morava ktheory of the classifying space of an elementary abelian group v is a permutation module in either of two distinct senses for the automorphism group of v we use brauer characters and computer calculations we construct and implement an algorithm for finding permutation submodules of maximal dimension inside modules for pgroups in characteristic p | [['we', 'study', 'the', 'question', 'of', 'whether', 'the', 'morava', 'ktheory', 'of', 'the', 'classifying', 'space', 'of', 'an', 'elementary', 'abelian', 'group', 'v', 'is', 'a', 'permutation', 'module', 'in', 'either', 'of', 'two', 'distinct', 'senses', 'for', 'the', 'automorphism', 'group', 'of', 'v', 'we', 'use', 'brauer', 'characters', 'and', 'computer', 'calculations', 'we', 'construct', 'and', 'implement', 'an', 'algorithm', 'for', 'finding', 'permutation', 'submodules', 'of', 'maximal', 'dimension', 'inside', 'modules', 'for', 'pgroups', 'in', 'characteristic', 'p']] | [-0.20250522393372752, 0.09844267235495217, -0.08405259902018213, 0.044159960807226, -0.08672938771515844, -0.15239904012020317, 0.003498170885347551, 0.38372209859681466, -0.38248743023723364, -0.23976615898972076, 0.05599984910053712, -0.23892912713363917, -0.13299342999028252, 0.20157940915199898, -0.13152975284103904, -0.05794987779471182, 0.018594256271758387, 0.160131182536603, -0.08788509920404683, -0.30688186719893445, 0.41039087536985114, -0.037709167324787664, 0.22161372818593536, -0.015131454764594954, 0.0795142472301039, 0.05365967920290366, -0.04259372555140045, -0.055275791588017806, -0.13318963494572428, 0.0925345707078269, 0.3491325008592779, 0.10246123597701831, 0.2002160266912993, -0.3468446411012161, -0.07011686411926583, 0.23559801474273687, 0.15510986222615164, 0.025468943700675043, -0.04873843387430234, -0.24129080507836695, 0.1587632458371621, -0.2512838534650303, -0.12074552492929562, -0.06076373213962201, 0.1451922420772814, -0.06309285009234783, -0.2407155903506904, -0.05759233979868793, 0.07343509294573337, 0.207838920045399, -0.08396614546091447, -0.08381843021620185, -0.004009714605466974, 0.160991174820435, -0.05239151248843559, -0.014688994979575997, 0.10697384514365225, -0.12937507859521336, -0.20348711030918262, 0.39142008837042075, -0.02010609558032405, -0.180627079905882, 0.11078541509566768, -0.15604252000189117, -0.1815713440188237, 0.10722676125325022, 0.09664004374926369, 0.13924124127914828, 0.004968664503746455, 0.18745456209158404, -0.1628900278930462, 0.09989086197193471, 0.06450341498449204, -0.02904686265655102, 0.09870276607633117, 0.1084689766829533, 0.05925217267846869, 0.14101087079653818, 0.017741429206404473, 0.08195240501194231, -0.33824565417824254, -0.2533527212067237, -0.1321022427310386, 0.08418600935669195, -0.07410381599883324, -0.17382879050508623, 0.49013719556763047, 0.12054873352509833, 0.1275768732772239, 0.11326468129071497, 0.19623041190507431, 0.0006197459184594693, 0.042224621430279746, 0.08691766286539214, 0.029219537665466627, 0.23655149784509935, -0.1423909105360508, -0.17813830910581013, -0.049143554289795215, 0.25512711119588327] |
711.5017 | On the integral cohomology of wreath products | Under mild conditions on the space X, we describe the additive structure of
the integral cohomology of the space $X^p \times_{C_p}EC_p$ in terms of the
cohomology of X. We give weaker results for other similar spaces, and deduce
various corollaries concerning the cohomology of finite groups.
| math.GR math.AT | under mild conditions on the space x we describe the additive structure of the integral cohomology of the space xp times_c_pec_p in terms of the cohomology of x we give weaker results for other similar spaces and deduce various corollaries concerning the cohomology of finite groups | [['under', 'mild', 'conditions', 'on', 'the', 'space', 'x', 'we', 'describe', 'the', 'additive', 'structure', 'of', 'the', 'integral', 'cohomology', 'of', 'the', 'space', 'xp', 'times_c_pec_p', 'in', 'terms', 'of', 'the', 'cohomology', 'of', 'x', 'we', 'give', 'weaker', 'results', 'for', 'other', 'similar', 'spaces', 'and', 'deduce', 'various', 'corollaries', 'concerning', 'the', 'cohomology', 'of', 'finite', 'groups']] | [-0.20993612305157713, 0.03643649546429515, -0.1293222873782118, 0.1279735991317365, -0.04913174360473123, -0.03995445929467678, 0.002835122909810808, 0.34823056095176275, -0.33097408455279137, -0.224272490458356, 0.12677607199746288, -0.16088102890385522, -0.1287097756440441, 0.23228665662722456, -0.15643587592575287, -0.026079436557160482, 0.03341629523783922, 0.12404054811017381, -0.16027401766429344, -0.3438506589529829, 0.4733329353233178, -0.05732962153851986, 0.21468840866453118, 0.05248994992192214, 0.13877653932819764, 0.033219146138678, -0.04033800943030252, -0.04158515073488363, -0.2358511422243383, 0.14675664227041935, 0.25729609574708673, 0.026860964412076607, 0.17680843352961043, -0.4047368813720014, -0.15106868262713155, 0.145809234223432, 0.0421903379002793, -0.03663230501115322, -0.017215631504465517, -0.3129432021536761, 0.12195850879781776, -0.12656672466546298, -0.1490936297716366, -0.12548441675802072, 0.03134158216416836, 0.09702466424140666, -0.2269338946750698, -0.007744720785154237, 0.09316663684116469, 0.10382233762906658, -0.15613456508144735, -0.16365270684990618, -0.04104001664090902, 0.1143781209571494, 0.02906975174943606, 0.008946863517889547, 0.10675546288904217, -0.09079790612061818, -0.0906600753052367, 0.395058574858639, -0.09217888183063931, -0.19211416989564895, 0.17508048750460148, -0.22992165610194207, -0.2394386497222715, 0.11211338768609697, 0.08727535849644077, 0.1591265575028956, 0.0005305936133178572, 0.22672572918106906, -0.12802344597876072, 0.03624895471665594, 0.08124033570186132, 0.09478679829173618, 0.029652300104498864, 0.0801260611663262, 0.13372060389568408, 0.15890655203644807, -0.004119307056276334, -0.04131616312984584, -0.40430587861273026, -0.23214253435532253, -0.07577507747854624, 0.10915924455556604, -0.1695306723416757, -0.16956682350589997, 0.38447714876383543, 0.08995370167411036, 0.18193881553080346, 0.10722260787669155, 0.179677016267346, 0.0632407343842917, 0.001777569442573521, -0.0065581817076438, 0.11119841070224841, 0.21608798557685482, 0.01187395787694388, -0.1428860817104578, 0.05121588467930754, 0.1791051250985927] |
711.5018 | The cohomology of Bestvina-Brady groups | For each subcomplex of the standard CW-structure on any torus, we compute the
homology of a certain infinite cyclic regular covering space. In all cases when
the homology is finitely generated, we also compute the cohomology ring. For
aspherical subcomplexes of the torus our computation gives the homology and
cohomology of Bestvina-Brady groups. We compute the cohomological dimension of
each of these groups over any field and over any subring of the rationals.
| math.AT math.GR | for each subcomplex of the standard cwstructure on any torus we compute the homology of a certain infinite cyclic regular covering space in all cases when the homology is finitely generated we also compute the cohomology ring for aspherical subcomplexes of the torus our computation gives the homology and cohomology of bestvinabrady groups we compute the cohomological dimension of each of these groups over any field and over any subring of the rationals | [['for', 'each', 'subcomplex', 'of', 'the', 'standard', 'cwstructure', 'on', 'any', 'torus', 'we', 'compute', 'the', 'homology', 'of', 'a', 'certain', 'infinite', 'cyclic', 'regular', 'covering', 'space', 'in', 'all', 'cases', 'when', 'the', 'homology', 'is', 'finitely', 'generated', 'we', 'also', 'compute', 'the', 'cohomology', 'ring', 'for', 'aspherical', 'subcomplexes', 'of', 'the', 'torus', 'our', 'computation', 'gives', 'the', 'homology', 'and', 'cohomology', 'of', 'bestvinabrady', 'groups', 'we', 'compute', 'the', 'cohomological', 'dimension', 'of', 'each', 'of', 'these', 'groups', 'over', 'any', 'field', 'and', 'over', 'any', 'subring', 'of', 'the', 'rationals']] | [-0.23644824800754172, 0.07344058065468238, -0.10290642358207454, 0.0508507161042265, -0.06119163714012959, -0.09814982608400492, -0.025652993923156626, 0.3284948220373028, -0.3674721930292435, -0.18063183434100616, 0.13087108331092168, -0.19716707573065329, -0.12235233869351861, 0.23195822573163444, -0.15190707557768393, -0.08277432082427873, 0.042318331029188506, 0.14999447017908096, -0.08640381645980394, -0.3439105918837918, 0.4396198033484527, -0.07888886095800747, 0.14473707475958186, 0.05491879525490933, 0.1173662673714312, 0.04553355055395514, -0.05968635384407309, -0.007699350951169335, -0.18777878614815158, 0.15030373744149175, 0.29439139899073374, 0.041163493300296575, 0.1404555818428182, -0.3657068140132146, -0.13821739214472473, 0.2518327352073457, 0.130823773092642, 0.02938168524350557, 0.008731868873130426, -0.2286415131917844, 0.1626389811814685, -0.2203579466117339, -0.1287199246774738, -0.06573950241888976, 0.09409173877631677, 0.04565375758748916, -0.18663872249372718, -0.07159213533264443, 0.04809351283539501, 0.1547771233211582, -0.09615181381943533, -0.06338994378974247, -0.06695574113594678, 0.16507541021928773, -0.034235468842477225, 0.008966348728992872, 0.14418585800255337, -0.10011997539550066, -0.15844741726889172, 0.4096866714599956, -0.05253351300618508, -0.21645916869036025, 0.13441062140433738, -0.22126513798462433, -0.21441778054253924, 0.20246913112027365, 0.027841942876370415, 0.1732116064619428, 0.0825620254705023, 0.23371196848489084, -0.16919232135276413, 0.08058667229488492, 0.0947925061530744, -0.02963208703375939, 0.14434669016756946, 0.03791981613095333, 0.12187369396633585, 0.15021681102613607, -0.021178320836042985, -0.054270259531525276, -0.35713570531354183, -0.25539510645386243, -0.13189246903736299, 0.1440205701898473, -0.20207392312416536, -0.22759556551075852, 0.4658000070743987, 0.07461939847821163, 0.150381094426848, 0.18200288947021667, 0.28081019401239854, 0.021821318499860354, 0.11922427629663919, 0.08728570842585112, 0.04760640148176915, 0.1958788925419665, -0.08773253142458594, -0.13484414393315092, -0.02689199824170727, 0.254568292798164] |
711.5019 | Comparative study of the growth of sputtered aluminum oxide films on
organic and inorganic substrates | We present a comparative study of the growth of the technologically highly
relevant gate dielectric and encapsulation material aluminum oxide in inorganic
and also organic heterostructures. Atomic force microscopy studies indicate
strong similarities in the surface morphology of aluminum oxide films grown on
these chemically different substrates. In addition, from X-ray reflectivity
measurements we extract the roughness exponent \beta of aluminum oxide growth
on both substrates. By renormalising the aluminum oxide roughness by the
roughness of the underlying organic film we find good agreement with \beta as
obtained from the aluminum oxide on silicon oxide (\beta = 0.38 \pm 0.02),
suggesting a remarkable similarity of the aluminum oxide growth on the two
substrates under the conditions employed.
| cond-mat.mtrl-sci cond-mat.soft | we present a comparative study of the growth of the technologically highly relevant gate dielectric and encapsulation material aluminum oxide in inorganic and also organic heterostructures atomic force microscopy studies indicate strong similarities in the surface morphology of aluminum oxide films grown on these chemically different substrates in addition from xray reflectivity measurements we extract the roughness exponent beta of aluminum oxide growth on both substrates by renormalising the aluminum oxide roughness by the roughness of the underlying organic film we find good agreement with beta as obtained from the aluminum oxide on silicon oxide beta 038 pm 002 suggesting a remarkable similarity of the aluminum oxide growth on the two substrates under the conditions employed | [['we', 'present', 'a', 'comparative', 'study', 'of', 'the', 'growth', 'of', 'the', 'technologically', 'highly', 'relevant', 'gate', 'dielectric', 'and', 'encapsulation', 'material', 'aluminum', 'oxide', 'in', 'inorganic', 'and', 'also', 'organic', 'heterostructures', 'atomic', 'force', 'microscopy', 'studies', 'indicate', 'strong', 'similarities', 'in', 'the', 'surface', 'morphology', 'of', 'aluminum', 'oxide', 'films', 'grown', 'on', 'these', 'chemically', 'different', 'substrates', 'in', 'addition', 'from', 'xray', 'reflectivity', 'measurements', 'we', 'extract', 'the', 'roughness', 'exponent', 'beta', 'of', 'aluminum', 'oxide', 'growth', 'on', 'both', 'substrates', 'by', 'renormalising', 'the', 'aluminum', 'oxide', 'roughness', 'by', 'the', 'roughness', 'of', 'the', 'underlying', 'organic', 'film', 'we', 'find', 'good', 'agreement', 'with', 'beta', 'as', 'obtained', 'from', 'the', 'aluminum', 'oxide', 'on', 'silicon', 'oxide', 'beta', '038', 'pm', '002', 'suggesting', 'a', 'remarkable', 'similarity', 'of', 'the', 'aluminum', 'oxide', 'growth', 'on', 'the', 'two', 'substrates', 'under', 'the', 'conditions', 'employed']] | [-0.07102105647610532, 0.1568911556909182, -0.04308565096640638, -0.06850685849876127, 0.07269494809312665, -0.18629920585402127, 0.08595894889831784, 0.4967685483821571, -0.21164531975278053, -0.3019079100340605, 0.017438518875960967, -0.3613529959693551, -0.16816328374813472, 0.26222454281604113, 0.028710455111838108, 0.0958997262160069, -0.049481096693539416, -0.18911062689409752, -0.1146383687887935, -0.1790667624706563, 0.23754170284895548, 0.058161703749270786, 0.35937375812149, 0.1057529310863425, 0.01927396561398476, -0.08145187498102414, 0.10872525916081564, -0.027316635730475637, -0.2578587126918137, 0.11246751313467093, 0.2387798351701349, -0.17770945120618903, 0.1611670940183103, -0.5419719870491274, -0.22275624621322315, -0.08668276700110913, 0.08052848396493636, 0.02720474183623647, -0.18526230923879636, -0.22932338289081536, 0.039275886308289425, -0.0731269400687246, -0.09104207561408814, -0.00018564939241984794, -0.044609483267212736, 0.025573364352096867, -0.20839276214949146, 0.055641667993392006, -0.008815950683944312, 0.12171347116236575, -0.13623714568053275, -0.18760319839328013, -0.11423252271849597, 0.01787372947477832, 0.05902732295337422, -0.0005681255334538633, 0.3115056404996471, -0.09157150571539613, -0.016334457143314246, 0.3423749518355933, -0.03406069015457841, -0.06797909200319956, 0.19541120744944582, -0.2038747278957403, -0.02746566266608264, 0.16635387875782004, 0.12053822172637066, 0.12161627090395556, -0.18187781748490345, 0.07247056660406966, -0.008705852721849906, 0.3086797826249024, 0.16132440644412718, 0.0568131857269001, 0.22799167529968867, 0.2875241386666011, -0.05549641669695747, 0.15136371304859117, -0.12559975364951995, 0.06399950440892757, -0.17343334527686238, -0.25619773227111275, -0.16491737750214364, 0.10752864124189163, -0.1919195324998923, -0.2857110835411104, 0.3382021865389984, 0.09597204843985624, 0.12028205314458444, -0.08479544921208108, 0.20402995074681682, -0.0334984921862307, 0.08612817539512341, -0.10574182068953163, 0.2622439054017565, 0.19056290162903866, 0.0901239645177627, -0.2610920302304921, 0.22120612579124882, -0.025128830826423806] |
711.502 | The cohomology of certain groups | Computations in the cohomology of finite groups.
| math.AT math.GR | computations in the cohomology of finite groups | [['computations', 'in', 'the', 'cohomology', 'of', 'finite', 'groups']] | [-0.31600992248526644, 0.12186431937984057, -0.20217338843005045, 0.041169715246983936, -0.0006092089627470289, -0.0390863445188318, 0.057551029537405284, 0.2962484838707106, -0.3710210216896875, -0.24306007155350276, 0.14709902692785753, -0.18030883691140584, -0.03253523885671582, 0.170274153750922, -0.16572096065751143, -0.0690336184842246, 0.029523413628339767, 0.14359206599848612, -0.14692590226020133, -0.38512152220521656, 0.41360911407641004, -0.05376244815332549, 0.22973338248474257, 0.06523949150661272, 0.012183342661176409, -0.037457151737596305, -0.13559985932494914, -0.06725078049514975, -0.05884844011494091, 0.15368421721671308, 0.5095218537109238, -0.12104547183428492, 0.22739475965499878, -0.4401970718588148, -0.09710421679275376, 0.19544328163777078, 0.15780696964689664, 0.09920626506209373, -0.04159243298428399, -0.23376423652682984, 0.18304774511073316, -0.2732578633087022, -0.10029874608985015, -0.07874914578029088, 0.07661359823708024, 0.06887827121785708, -0.06330037117004395, 0.00030957747782979695, -0.031318942084908485, 0.27265248341219767, -0.15011424464838846, -0.017600850335189273, -0.07101406316672053, 0.1965842568980796, -0.07017345537003296, -0.14709362527355552, 0.14157540244715555, -0.12285268838916506, -0.20080613185252463, 0.4679661308016096, -0.06036283927304404, -0.22367629355617932, 0.10218292155436107, -0.2887511093701635, -0.3179283690239702, 0.14504162328583853, 0.05332133599690029, 0.2967129200696945, 0.16171959042549133, 0.26132115508828846, -0.07619995211384126, -0.016195672431162426, 0.008857751531260354, -0.09462251460977963, 0.024931310542992184, 0.040966443185295374, 0.04451044409402779, 0.09679559192487172, 0.15293303930333682, -0.09066009947231837, -0.4278388832296644, -0.2440805318100112, -0.1282030093882765, 0.043512514659336636, -0.1938420326582023, -0.24331603388834214, 0.40269927999802996, 0.057403983282191415, 0.08851107156702451, 0.18382924954806054, 0.2734534963965416, -0.02147754973598889, 0.19655455569071428, 0.03130540571042469, 0.0025823329176221576, 0.3938115984201431, -0.10564454751355308, -0.19604833956275666, -0.08181842363306455, 0.3229102522933057] |
711.5021 | Controlling the optical properties of transparent media by mixing active
and passive resonances | Novel optical phenomena, including electromagnetically induced transparency,
slow light, superluminal light propagation, have recently been demonstrated in
diverse physical implementations. These phenomena are challenging to realize in
practical systems because they require quantum coherence as well as careful
preparation and control of prescribed quantum states. Here we present a unified
approach to engineering optical materials that exhibit these phenomena by using
mixtures of active and passive optical materials at frequencies near their
resonances. Our approach does not depend on quantum coherence and can realize
large and small (much less than 1) indices of refraction and negative
permittivity ($\epsilon<0$), normal and anomalous dispersion, all while
maintaining transparency.
| physics.optics | novel optical phenomena including electromagnetically induced transparency slow light superluminal light propagation have recently been demonstrated in diverse physical implementations these phenomena are challenging to realize in practical systems because they require quantum coherence as well as careful preparation and control of prescribed quantum states here we present a unified approach to engineering optical materials that exhibit these phenomena by using mixtures of active and passive optical materials at frequencies near their resonances our approach does not depend on quantum coherence and can realize large and small much less than 1 indices of refraction and negative permittivity epsilon0 normal and anomalous dispersion all while maintaining transparency | [['novel', 'optical', 'phenomena', 'including', 'electromagnetically', 'induced', 'transparency', 'slow', 'light', 'superluminal', 'light', 'propagation', 'have', 'recently', 'been', 'demonstrated', 'in', 'diverse', 'physical', 'implementations', 'these', 'phenomena', 'are', 'challenging', 'to', 'realize', 'in', 'practical', 'systems', 'because', 'they', 'require', 'quantum', 'coherence', 'as', 'well', 'as', 'careful', 'preparation', 'and', 'control', 'of', 'prescribed', 'quantum', 'states', 'here', 'we', 'present', 'a', 'unified', 'approach', 'to', 'engineering', 'optical', 'materials', 'that', 'exhibit', 'these', 'phenomena', 'by', 'using', 'mixtures', 'of', 'active', 'and', 'passive', 'optical', 'materials', 'at', 'frequencies', 'near', 'their', 'resonances', 'our', 'approach', 'does', 'not', 'depend', 'on', 'quantum', 'coherence', 'and', 'can', 'realize', 'large', 'and', 'small', 'much', 'less', 'than', '1', 'indices', 'of', 'refraction', 'and', 'negative', 'permittivity', 'epsilon0', 'normal', 'and', 'anomalous', 'dispersion', 'all', 'while', 'maintaining', 'transparency']] | [-0.11251280350250385, 0.2398973402725357, -0.05556498773237866, 0.0383450458142555, -0.09388538214096905, -0.21315062660636064, 0.04209742163405984, 0.46607350886641247, -0.22163372529881462, -0.3507923268150749, 0.07244449054145799, -0.25199945568423365, -0.18681750788775114, 0.2653783411924279, -0.05703742478376711, 0.12321310641490063, -0.00862765923704741, -0.06454373987497024, -0.03823235478111595, -0.14702460585482735, 0.2532986627215133, 0.009542391777152793, 0.3422368657204129, 0.09313498555137864, 0.11060876830234984, -0.008366878232303655, 0.03636433217094614, 0.003837220854002912, -0.0647913058204516, 0.08514418341999189, 0.26048347769296326, 0.0403737365290136, 0.24679636331890129, -0.43590440949038517, -0.2986223516625546, 0.10145849596164278, 0.16629557772144182, 0.16327760158379054, -0.08677179800930766, -0.29162907052591863, 0.03288092965563267, -0.10527674187378923, -0.1401199995900311, -0.16639382631148933, 0.022154026471500127, 0.007776760974490382, -0.18895500882985597, 0.06316108332632794, 0.04071966830843111, 0.10258422807333464, -0.0073885179063270115, -0.10737338019007782, 0.03546068536662409, 0.09686394866538357, -0.03980907544335526, -0.08145987202044365, 0.1574465701066041, -0.1455638489448729, -0.13257965782903275, 0.42167541832786126, -0.032935902856994326, -0.1329679745242586, 0.2472761472651981, -0.14171030458127684, -0.05241558898047034, 0.14168492879911834, 0.22591044254412102, 0.11677925629137119, -0.10310831405595823, 0.006450442800447697, 0.021037515788778383, 0.1558861586282838, 0.08674196160468713, 0.20528208808358409, 0.2259777079881081, 0.14494461683943025, 0.023439570034652035, 0.07267042313140097, -0.03586759662282003, -0.06469691572007986, -0.2545102585177377, -0.13606881114482916, -0.17639939012642913, 0.07124563005441506, -0.057831868124337216, -0.17559654486611626, 0.37012685758044134, 0.15774244319577263, 0.17186882122823932, -0.036063897478359065, 0.30839685446204934, 0.10298729912303213, 0.11165621910762605, 0.06381037420997361, 0.3343409524246488, 0.11460506296848422, 0.11828785590642958, -0.23280481985146356, 0.07480728945844227, -0.05581492268181634] |
711.5022 | Non-local dilaton coupling to dark matter: cosmic acceleration and
pressure backreaction | A model of non-local dilaton interactions, motivated by string duality
symmetries, is applied to a scenario of "coupled quintessence" in which the
dilaton dark energy is non-locally coupled to the dark-matter sources. It is
shown that the non-local effects tend to generate a backreaction which -- for
strong enough coupling -- can automatically compensate the acceleration due to
the negative pressure of the dilaton potential, thus asymptotically restoring
the standard (dust-dominated) decelerated regime. This result is illustrated by
analytical computations and numerical examples.
| gr-qc astro-ph hep-th | a model of nonlocal dilaton interactions motivated by string duality symmetries is applied to a scenario of coupled quintessence in which the dilaton dark energy is nonlocally coupled to the darkmatter sources it is shown that the nonlocal effects tend to generate a backreaction which for strong enough coupling can automatically compensate the acceleration due to the negative pressure of the dilaton potential thus asymptotically restoring the standard dustdominated decelerated regime this result is illustrated by analytical computations and numerical examples | [['a', 'model', 'of', 'nonlocal', 'dilaton', 'interactions', 'motivated', 'by', 'string', 'duality', 'symmetries', 'is', 'applied', 'to', 'a', 'scenario', 'of', 'coupled', 'quintessence', 'in', 'which', 'the', 'dilaton', 'dark', 'energy', 'is', 'nonlocally', 'coupled', 'to', 'the', 'darkmatter', 'sources', 'it', 'is', 'shown', 'that', 'the', 'nonlocal', 'effects', 'tend', 'to', 'generate', 'a', 'backreaction', 'which', 'for', 'strong', 'enough', 'coupling', 'can', 'automatically', 'compensate', 'the', 'acceleration', 'due', 'to', 'the', 'negative', 'pressure', 'of', 'the', 'dilaton', 'potential', 'thus', 'asymptotically', 'restoring', 'the', 'standard', 'dustdominated', 'decelerated', 'regime', 'this', 'result', 'is', 'illustrated', 'by', 'analytical', 'computations', 'and', 'numerical', 'examples']] | [-0.1349291684160607, 0.1833071668666822, -0.08955262589662186, 0.12842394493054599, -0.12769084612344517, -0.22821898360012305, -0.024187140810636828, 0.2854694387772017, -0.24108831371744105, -0.2970440715873315, 0.03211535543439059, -0.27636787479306446, -0.12592686896706806, 0.14263111962016994, -0.01566621931384743, 0.014986619744219897, -0.008881694165828787, 0.019621889819793494, 0.006430737274687415, -0.26152806098135994, 0.30727492230168235, 0.10209863634642076, 0.2692848355681808, 0.06823611533395763, 0.10984279206137598, -0.09598353376071671, 0.0061466729003982045, 0.0509564274761044, -0.093189866706836, 0.05240543119977286, 0.2027129741086636, 0.014051575282657588, 0.247574814931593, -0.4182016437436328, -0.2856319985570915, 0.12208528179146441, 0.16947940885761958, 0.17650278084796428, -0.11886442467616296, -0.33067066293715697, 0.04686780981029625, -0.17113996482523228, -0.15555450513407035, -0.10328916457976088, -0.003286955119283111, -0.036384104355094656, -0.3235195951455813, 0.1158759382403927, 0.028605675640987392, -0.08697860959606867, -0.0682003569593768, 0.03638882215859161, -0.054968971103705744, 0.017812196010102827, 0.14524718386796232, 0.0628363133845046, 0.1370720696049156, -0.17723842218078467, -0.05871844320431536, 0.3926779264009293, -0.10229163598211735, -0.22831493594833177, 0.1845791152632439, -0.07385406789749309, -0.06621453029184061, 0.12286908531354533, 0.1336357610208201, 0.10586333224250946, -0.16001750317827604, 0.1559425865143342, 0.041379047396742266, 0.16575559358583924, 0.06374852904291065, -0.025057038217553017, 0.2816856913843457, 0.08808751964803647, 0.03799992174278071, 0.14473481223355106, -0.004246631073822946, -0.13949215867165707, -0.37409952112738, -0.06676913245385628, -0.15167446708145702, 0.06464269553184693, -0.11933641832441891, -0.1440117039353397, 0.3472496068254573, 0.15138861623788138, 0.14009991650366121, 0.02518661014655214, 0.2893746325769174, 0.11231867384947376, 0.08746518675858776, 0.05694296699661164, 0.3206727334332687, 0.18148405627451009, 0.09915201401016042, -0.29228242626988593, -0.03352776471306972, 0.05624278512334934] |
711.5023 | K^0 - \bar K^0, B^0 - \bar B^0 mixings in the MSSM with explicit CP
violation in the Higgs sector | We consider the K^0 - \bar K^0 and B^0 - \bar B^0 mixings in the MSSM with
the two-Higgs-doublet scalar sector featuring explicit CP violation, and the
Yukawa sector of type II. In the case of strong mixing between CP-odd and
CP-even states the existence of light charged Higgs is allowed in the model.
The mass splitting \Delta m_{LS} and the amount of indirect CP violation
\epsilon are calculated. In the limit of effective low-energy approximation the
nonstandard effects are shown to be negligibly small in \Delta m_{LS} and
\epsilon for the K^0-mesons, being almost independent on the charged Higgs
boson mass. However, for the B_d^0 - \bar B_d^0 and B_s^0 - \bar B_s^0 systems
the effects of nonstandard physics are shown to be larger, limiting the MSSM
parameter space.
| hep-ph | we consider the k0 bar k0 and b0 bar b0 mixings in the mssm with the twohiggsdoublet scalar sector featuring explicit cp violation and the yukawa sector of type ii in the case of strong mixing between cpodd and cpeven states the existence of light charged higgs is allowed in the model the mass splitting delta m_ls and the amount of indirect cp violation epsilon are calculated in the limit of effective lowenergy approximation the nonstandard effects are shown to be negligibly small in delta m_ls and epsilon for the k0mesons being almost independent on the charged higgs boson mass however for the b_d0 bar b_d0 and b_s0 bar b_s0 systems the effects of nonstandard physics are shown to be larger limiting the mssm parameter space | [['we', 'consider', 'the', 'k0', 'bar', 'k0', 'and', 'b0', 'bar', 'b0', 'mixings', 'in', 'the', 'mssm', 'with', 'the', 'twohiggsdoublet', 'scalar', 'sector', 'featuring', 'explicit', 'cp', 'violation', 'and', 'the', 'yukawa', 'sector', 'of', 'type', 'ii', 'in', 'the', 'case', 'of', 'strong', 'mixing', 'between', 'cpodd', 'and', 'cpeven', 'states', 'the', 'existence', 'of', 'light', 'charged', 'higgs', 'is', 'allowed', 'in', 'the', 'model', 'the', 'mass', 'splitting', 'delta', 'm_ls', 'and', 'the', 'amount', 'of', 'indirect', 'cp', 'violation', 'epsilon', 'are', 'calculated', 'in', 'the', 'limit', 'of', 'effective', 'lowenergy', 'approximation', 'the', 'nonstandard', 'effects', 'are', 'shown', 'to', 'be', 'negligibly', 'small', 'in', 'delta', 'm_ls', 'and', 'epsilon', 'for', 'the', 'k0mesons', 'being', 'almost', 'independent', 'on', 'the', 'charged', 'higgs', 'boson', 'mass', 'however', 'for', 'the', 'b_d0', 'bar', 'b_d0', 'and', 'b_s0', 'bar', 'b_s0', 'systems', 'the', 'effects', 'of', 'nonstandard', 'physics', 'are', 'shown', 'to', 'be', 'larger', 'limiting', 'the', 'mssm', 'parameter', 'space']] | [-0.1400422641094774, 0.25915108916163443, 0.013627725169062615, 0.1565525792138651, -0.06750696885585784, -0.20511044199764727, 0.07185288916155697, 0.23367410311102868, -0.22922758688032627, -0.2638851636052132, -0.000699433290399611, -0.3029872477315366, 0.0015988170900382102, 0.09527446535043418, 0.071426383247599, 0.07296773728355765, 0.03888020725548268, -0.004689887061715126, -0.0576999190300703, -0.196202249170281, 0.2875468268468976, -0.057962863430380825, 0.14812494026497006, 0.0897321686539799, -0.043785704355686905, -0.023818740874528885, -0.035898056153673676, -0.08206340044015087, -0.16666886396706104, 0.012947917408775537, 0.15159300391562283, 0.0674977365382365, 0.08033440959453583, -0.29158656391128895, -0.06467525348812342, 0.22814654889702796, 0.1741489648874849, 0.08229180055484175, -0.043572681372053924, -0.3789936576988548, 0.10800735178776086, -0.17752526336163282, -0.10331616358458996, -0.06816447802074253, 0.028368539549410342, -0.13198267844039946, -0.3970280677303672, 0.14217518955166453, -0.0648382796794176, 0.017750810645520688, 0.026435250408947467, -0.23512004274874926, -0.05920328884012997, 0.0022750832736492155, 0.2097013882175088, 0.03272370294481516, 0.14940941506996752, -0.17746998673677444, -0.07528512286115438, 0.45037401048839093, -0.1439310201331973, -0.22669074752554297, 0.12672782222926618, -0.215676353123039, -0.13767157876491545, 0.11690175348520279, 0.19278737537935375, 0.06663302252814174, -0.14483851877599954, 0.27648471504170447, -0.03490264275670051, 0.1444492783797905, 0.07382632460817695, 0.10722685938328505, 0.2193018158720806, 0.15736510987579821, 0.06341113222762942, 0.005914160085842013, -0.0815075407885015, -0.10180023011565209, -0.42649571448564527, -0.14887980775139295, -0.02671551300957799, 0.047468620419502255, -0.11643432182655669, -0.08943511038785801, 0.3635923235937953, 0.031359279163181784, 0.21581964190304279, -0.009537000382319093, 0.26942570984363556, 0.07070440486818552, 0.054158478043973446, 0.04522844507545233, 0.3970581548139453, 0.21167763410508633, 0.11346149953827261, -0.3357194377752021, 0.03542648692429066, 0.028748081639409066] |
711.5024 | Strange two-baryon interactions using chiral effective field theory | We have constructed the leading order strangeness S=-1,-2 baryon-baryon
potential in a chiral effective field theory approach. The chiral potential
consists of one-pseudoscalar-meson exchanges and non-derivative four-baryon
contact terms. The potential, derived using SU(3)_f symmetry constraints,
contains six independent low-energy coefficients. We have solved a regularized
Lippmann-Schwinger equation and achieved a good description of the available
scattering data. Furthermore a correctly bound hypertriton has been obtained.
| nucl-th | we have constructed the leading order strangeness s12 baryonbaryon potential in a chiral effective field theory approach the chiral potential consists of onepseudoscalarmeson exchanges and nonderivative fourbaryon contact terms the potential derived using su3_f symmetry constraints contains six independent lowenergy coefficients we have solved a regularized lippmannschwinger equation and achieved a good description of the available scattering data furthermore a correctly bound hypertriton has been obtained | [['we', 'have', 'constructed', 'the', 'leading', 'order', 'strangeness', 's12', 'baryonbaryon', 'potential', 'in', 'a', 'chiral', 'effective', 'field', 'theory', 'approach', 'the', 'chiral', 'potential', 'consists', 'of', 'onepseudoscalarmeson', 'exchanges', 'and', 'nonderivative', 'fourbaryon', 'contact', 'terms', 'the', 'potential', 'derived', 'using', 'su3_f', 'symmetry', 'constraints', 'contains', 'six', 'independent', 'lowenergy', 'coefficients', 'we', 'have', 'solved', 'a', 'regularized', 'lippmannschwinger', 'equation', 'and', 'achieved', 'a', 'good', 'description', 'of', 'the', 'available', 'scattering', 'data', 'furthermore', 'a', 'correctly', 'bound', 'hypertriton', 'has', 'been', 'obtained']] | [-0.1849928676983285, 0.10445601133555597, -0.10955975622390256, 0.09133000342372918, -0.06332188242143302, -0.16101167331252134, -0.0027032756179599373, 0.31111677911019686, -0.15288294928684604, -0.27592031827732694, 0.004038880986627191, -0.35246445944137644, -0.12660045300215256, 0.07935485743324865, 0.08865599409601242, 0.09435442835092545, 0.031357637673588186, 0.10626347892155702, -0.0793318280555082, -0.2618558784456444, 0.2710110004215191, -0.023451082260263236, 0.2236187489646854, 0.15574553008473507, 0.1394743294980744, 0.07600086597217755, -0.004113092933866111, 0.015016669887259151, -0.16270907919599928, 0.1282926908073326, 0.21804203993683172, -0.003824636755642573, 0.12679292644007187, -0.4374297487013268, -0.22375666464424945, 0.06528408747787277, 0.16818136925047095, 0.15633436614845062, -0.060021120462227955, -0.298131257034556, 0.02699648317965594, -0.25428045912165986, -0.21363190700525814, -0.173337054304835, -0.02433040178430295, -0.041327238541491555, -0.31013416906000313, 0.10063396709411984, -0.023500199683687904, 0.062102172297961784, -0.10180388101037931, -0.19428857962713775, -0.033900783989917145, 0.09288432728499174, 0.06210942186810302, 0.0811913619682221, 0.08340854151350813, -0.1516293160168447, -0.10554912133904343, 0.38731965179922, -0.11508909386589727, -0.2060750279660252, 0.08050552295930119, -0.0404540911232206, -0.1436958460941572, 0.14848962468518453, 0.12246923928967479, 0.0905470091586749, -0.253173832753391, 0.20155881731735656, -0.034153994151645085, 0.13008688660832404, 0.07800453499128873, 0.015897153248784667, 0.14874988850770574, 0.15968920996017527, -0.03238704337061129, 0.08023010301544811, -0.05072634315795519, -0.12130064546892588, -0.3227082391015508, -0.02450366200840411, -0.198159384816377, 0.04812281633106371, -0.10881735886064373, -0.0961642085123017, 0.354928528389075, 0.06890692058104006, 0.15462334836466293, -0.01716630104011997, 0.2515201896118621, 0.1666756027067701, 0.1041346150591518, 0.03455606241583486, 0.2649068570357155, 0.19710368339931875, 0.07676403337355817, -0.2616854317734992, -0.03764155835872798, 0.12581952259113843] |
711.5025 | Reply to comment by Y. Ando on "Onset of Boson Mode at the
Superconducting Critical Point of Underdoped YBa$_2$Cu$_3$O$_y$" by N.
Doiron-Leyraud et al | In a recent Comment [arXiv:0711.4654], Y. Ando raises two valid issues in
relation to our low-temperature heat transport study of YBa$_2$Cu$_3$O$_y$
across the insulator-to-superconductor boundary: 1) the possible role of twin
boundaries in scattering phonons; 2) the best fitting procedure for extracting
a fermionic (linear) term from the data. In this Reply, we show that both
concerns can be laid to rest by 1) using new data from a tetragonal (twin-free)
sample, and 2) using an analysis that does not involve any fitting.
| cond-mat.supr-con cond-mat.str-el | in a recent comment arxiv07114654 y ando raises two valid issues in relation to our lowtemperature heat transport study of yba_2cu_3o_y across the insulatortosuperconductor boundary 1 the possible role of twin boundaries in scattering phonons 2 the best fitting procedure for extracting a fermionic linear term from the data in this reply we show that both concerns can be laid to rest by 1 using new data from a tetragonal twinfree sample and 2 using an analysis that does not involve any fitting | [['in', 'a', 'recent', 'comment', 'arxiv07114654', 'y', 'ando', 'raises', 'two', 'valid', 'issues', 'in', 'relation', 'to', 'our', 'lowtemperature', 'heat', 'transport', 'study', 'of', 'yba_2cu_3o_y', 'across', 'the', 'insulatortosuperconductor', 'boundary', '1', 'the', 'possible', 'role', 'of', 'twin', 'boundaries', 'in', 'scattering', 'phonons', '2', 'the', 'best', 'fitting', 'procedure', 'for', 'extracting', 'a', 'fermionic', 'linear', 'term', 'from', 'the', 'data', 'in', 'this', 'reply', 'we', 'show', 'that', 'both', 'concerns', 'can', 'be', 'laid', 'to', 'rest', 'by', '1', 'using', 'new', 'data', 'from', 'a', 'tetragonal', 'twinfree', 'sample', 'and', '2', 'using', 'an', 'analysis', 'that', 'does', 'not', 'involve', 'any', 'fitting']] | [-0.09836017335822553, 0.1258465346528496, -0.07672585215258562, 0.041137450930869415, -0.09857826548869963, -0.13637553404349786, 0.10099872148791213, 0.351260657514227, -0.2695373490820696, -0.28699894148258515, 0.09962331563993185, -0.3303046438176139, -0.1100503552581448, 0.21594002373792506, -0.05162557873323008, 0.028779487815444118, 0.029247081505111707, -0.025856209131256667, -0.08590755587009667, -0.23640782152658996, 0.3461668325105199, 0.010076224556721655, 0.28698415460961835, 0.07176173963572507, 0.04470334413898304, 0.04693301676278129, -0.05139922316726527, 0.0027658915848551707, -0.134421863737782, 0.08639678092857386, 0.26901908879409786, 0.077963452556251, 0.22535837018563423, -0.41334745992666017, -0.22928718240057797, 0.06176780363531168, 0.15332067892369297, 0.11922558510595542, -0.054875849356679364, -0.20511716796246207, 0.054999214631539804, -0.10643791140597543, -0.10047455607442024, -0.07686981385182819, -0.009989353586678152, -0.033166049662000145, -0.23737943549008098, 0.10763573398767615, 0.12150231340647112, 0.0765084026289391, -0.088079413228789, -0.13146504705748807, -0.006192672500432825, 0.11212705789179897, 0.049670635193678335, 0.06380865487477018, 0.0784658662813865, -0.10455256911787998, -0.11841546038142693, 0.3529898613737321, -0.0782585313154189, -0.1598639522454943, 0.15167951948917757, -0.16369661274308592, -0.16610975202207487, 0.08911793638756614, 0.10454356182297622, 0.10645892216973467, -0.18238589712016193, 0.08434769412269816, -0.03650550871805782, 0.19863984730945508, 0.0606542031545146, -0.03297127980485926, 0.1932781807342429, 0.15926932029564073, -0.0001392386002857008, 0.11386160579952699, -0.10038214067376598, -0.026744914864172676, -0.3270830408566528, -0.15475783313130154, -0.20090060467245402, 0.05834219755801045, -0.06966866847155702, -0.12003086744175281, 0.3494678041495291, 0.2072901557778859, 0.24995084320781408, -0.011984496524364882, 0.23066980241874038, 0.06329994909264101, 0.05496519568870649, 0.10339353308886473, 0.22960988873684848, 0.09474484084668443, 0.09336551209842717, -0.22838639735278707, 0.023146408341284612, 0.023146596191060027] |
711.5026 | Domain wall pinning and potential landscapes created by constrictions
and protrusions in ferromagnetic nanowires | The potential experienced by transverse domain walls (TDWs) in the vicinity
of asymmetric constrictions or protrusions in thin Permalloy nanowires is
probed using spatially resolved magneto-optical Kerr effect measurements. Both
types of traps are found to act as pinning centers for DWs. The strength of
pinning is found to depend on the trap type as well as on the chirality of the
incoming DW; both types of traps are seen to act either as potential wells or
potential barriers, also depending on the chirality of the DW. Micromagnetic
simulations have been performed that are in good qualitative agreement with the
experimental results.
| cond-mat.mtrl-sci cond-mat.other | the potential experienced by transverse domain walls tdws in the vicinity of asymmetric constrictions or protrusions in thin permalloy nanowires is probed using spatially resolved magnetooptical kerr effect measurements both types of traps are found to act as pinning centers for dws the strength of pinning is found to depend on the trap type as well as on the chirality of the incoming dw both types of traps are seen to act either as potential wells or potential barriers also depending on the chirality of the dw micromagnetic simulations have been performed that are in good qualitative agreement with the experimental results | [['the', 'potential', 'experienced', 'by', 'transverse', 'domain', 'walls', 'tdws', 'in', 'the', 'vicinity', 'of', 'asymmetric', 'constrictions', 'or', 'protrusions', 'in', 'thin', 'permalloy', 'nanowires', 'is', 'probed', 'using', 'spatially', 'resolved', 'magnetooptical', 'kerr', 'effect', 'measurements', 'both', 'types', 'of', 'traps', 'are', 'found', 'to', 'act', 'as', 'pinning', 'centers', 'for', 'dws', 'the', 'strength', 'of', 'pinning', 'is', 'found', 'to', 'depend', 'on', 'the', 'trap', 'type', 'as', 'well', 'as', 'on', 'the', 'chirality', 'of', 'the', 'incoming', 'dw', 'both', 'types', 'of', 'traps', 'are', 'seen', 'to', 'act', 'either', 'as', 'potential', 'wells', 'or', 'potential', 'barriers', 'also', 'depending', 'on', 'the', 'chirality', 'of', 'the', 'dw', 'micromagnetic', 'simulations', 'have', 'been', 'performed', 'that', 'are', 'in', 'good', 'qualitative', 'agreement', 'with', 'the', 'experimental', 'results']] | [-0.13281133846041984, 0.13809488323407576, -0.013289834468570702, -0.0067706962650203525, -0.06534003441715065, -0.15010407943205506, 0.003400410321203298, 0.4922807598669155, -0.21392783881439006, -0.3184308487848908, 0.059084766335538864, -0.29073032689299066, -0.07596659653947926, 0.24319883135852732, 0.031964785159182024, 0.01093528701869004, 0.0005839175051626037, -0.026449534768129095, 0.005070431826764024, -0.19614470877008988, 0.2754330620165074, -0.0026845952208318256, 0.32608566431365177, 0.11991067716450084, 0.008073453284690486, -0.02370876078402587, 0.06387844585868366, 0.09155289600283711, -0.14777862306893405, 0.021682565324191078, 0.17295657367418138, -0.12194789309218965, 0.1735037524508787, -0.5268529645970785, -0.22483908738393119, 0.049897491142117216, 0.23435220950027452, 0.15925176848894826, -0.09758393527647737, -0.34301194068336605, 0.042444552459260994, -0.07000108465881032, -0.1522251235038115, -0.05632062853934864, 0.025246865892161924, 0.11661326163904924, -0.23703255830161438, 0.11618552544792228, 0.04321135409911364, 0.07289534030189994, -0.11651989710791145, -0.10511244386982392, -0.1013725785579642, 0.08990374093934637, 0.04190353308256496, 0.04356419682210567, 0.2403625783090498, -0.12105747854209267, -0.174343242405859, 0.3488764197145607, -0.045581019351112785, -0.20429988055690831, 0.19878450927196764, -0.18299843257694853, 0.022990070493417045, 0.08458549555108025, 0.1616110686970619, 0.09794063487218, -0.09395110062734388, 0.04869171458595505, 0.003289948628448388, 0.1266626252098849, 0.14794243781316077, 0.058056425142793015, 0.2847122189990592, 0.17421707282682844, 0.02493127079694258, 0.13210520379510068, -0.16275645561708027, -0.09489903575284224, -0.2474266796569139, -0.08955468357924153, -0.23320400688395487, 0.010840689188198131, -0.047392048863876685, -0.18811888815652505, 0.34280177941728457, 0.08668604772994477, 0.20382375061037203, -0.08488099618504445, 0.23609908357006953, 0.06731599583358996, 0.13512790091929264, -0.029778003893500448, 0.29215792791150946, 0.129160424623086, 0.13854098781345836, -0.27267209795650604, 0.06004210782474747, -0.04586034199661192] |
711.5027 | Merger Histories of Galaxy Halos and Implications for Disk Survival | We study the merger histories of galaxy dark matter halos using a high
resolution LCDM N-body simulation. Our merger trees follow ~17,000 halos with
masses M_0 = (10^11--10^13) Msun at z=0 and track accretion events involving
objects as small as m = 10^10 Msun. We find that mass assembly is remarkably
self-similar in m/M_0, and dominated by mergers that are ~10% of the final halo
mass. While very large mergers, m > 0.4 M_0, are quite rare, sizeable accretion
events, m ~ 0.1 M_0, are common. Over the last 10 Gyr, an overwhelming majority
(~95%) of Milky Way-sized halos with M_0 = 10^12 Msun have accreted at least
one object with greater total mass than the Milky Way disk (m > 5x10^10 Msun),
and approximately 70% have accreted an object with more than twice that mass (m
> 10^11 Msun). Our results raise serious concerns about the survival of
thin-disk dominated galaxies within the current paradigm for galaxy formation
in a CDM universe. In order to achieve a ~70% disk-dominated fraction in Milky
Way-sized CDM halos, mergers involving m ~ 2x10^11 Msun objects must not
destroy disks. Considering that most thick disks and bulges contain old stellar
populations, the situation is even more restrictive: these mergers must not
heat disks or drive gas into their centers to create young bulges.
| astro-ph | we study the merger histories of galaxy dark matter halos using a high resolution lcdm nbody simulation our merger trees follow 17000 halos with masses m_0 10111013 msun at z0 and track accretion events involving objects as small as m 1010 msun we find that mass assembly is remarkably selfsimilar in mm_0 and dominated by mergers that are 10 of the final halo mass while very large mergers m 04 m_0 are quite rare sizeable accretion events m 01 m_0 are common over the last 10 gyr an overwhelming majority 95 of milky waysized halos with m_0 1012 msun have accreted at least one object with greater total mass than the milky way disk m 5x1010 msun and approximately 70 have accreted an object with more than twice that mass m 1011 msun our results raise serious concerns about the survival of thindisk dominated galaxies within the current paradigm for galaxy formation in a cdm universe in order to achieve a 70 diskdominated fraction in milky waysized cdm halos mergers involving m 2x1011 msun objects must not destroy disks considering that most thick disks and bulges contain old stellar populations the situation is even more restrictive these mergers must not heat disks or drive gas into their centers to create young bulges | [['we', 'study', 'the', 'merger', 'histories', 'of', 'galaxy', 'dark', 'matter', 'halos', 'using', 'a', 'high', 'resolution', 'lcdm', 'nbody', 'simulation', 'our', 'merger', 'trees', 'follow', '17000', 'halos', 'with', 'masses', 'm_0', '10111013', 'msun', 'at', 'z0', 'and', 'track', 'accretion', 'events', 'involving', 'objects', 'as', 'small', 'as', 'm', '1010', 'msun', 'we', 'find', 'that', 'mass', 'assembly', 'is', 'remarkably', 'selfsimilar', 'in', 'mm_0', 'and', 'dominated', 'by', 'mergers', 'that', 'are', '10', 'of', 'the', 'final', 'halo', 'mass', 'while', 'very', 'large', 'mergers', 'm', '04', 'm_0', 'are', 'quite', 'rare', 'sizeable', 'accretion', 'events', 'm', '01', 'm_0', 'are', 'common', 'over', 'the', 'last', '10', 'gyr', 'an', 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'mergers', 'must', 'not', 'heat', 'disks', 'or', 'drive', 'gas', 'into', 'their', 'centers', 'to', 'create', 'young', 'bulges']] | [-0.10626056994572897, 0.17234892670390797, -0.03836120125609187, 0.17530249355510227, -0.09469565990345799, -0.021664414390095702, -0.008426814469649404, 0.41041674173243764, -0.058037947703543875, -0.44997064017181126, 0.004259426713446682, -0.3028425273363575, 0.06882054636579991, 0.2039865666071287, -0.04956609822638368, -0.0651433116702565, 0.09339695060839832, -0.11887478559576678, -0.06601968024943006, -0.3652970969922981, 0.3032830387775628, 0.03364573427989973, 0.04587972226974396, -0.1298932970593736, 0.08666096088302955, -0.14423444910625102, -0.021220746931163065, -0.10049298269682969, -0.2304594201231562, -0.05041132925983237, 0.2669665573806203, 0.12849782673501461, 0.2467464507976986, -0.3640136100013547, -0.15666943787649837, 0.11869860927899421, 0.25273702030917433, 0.0007757874620849934, -0.16364197518727588, -0.21753367051078043, 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711.5028 | The p-adic closure of a subgroup of rational points on a commutative
algebraic group | Let G be a commutative algebraic group over Q. Let Gamma be a subgroup of
G(Q) contained in the union of the compact subgroups of G(Q_p). We formulate a
guess for the dimension of the closure of Gamma in G(Q_p), and show that its
correctness for certain tori is equivalent to Leopoldt's conjecture.
| math.NT math.AG | let g be a commutative algebraic group over q let gamma be a subgroup of gq contained in the union of the compact subgroups of gq_p we formulate a guess for the dimension of the closure of gamma in gq_p and show that its correctness for certain tori is equivalent to leopoldts conjecture | [['let', 'g', 'be', 'a', 'commutative', 'algebraic', 'group', 'over', 'q', 'let', 'gamma', 'be', 'a', 'subgroup', 'of', 'gq', 'contained', 'in', 'the', 'union', 'of', 'the', 'compact', 'subgroups', 'of', 'gq_p', 'we', 'formulate', 'a', 'guess', 'for', 'the', 'dimension', 'of', 'the', 'closure', 'of', 'gamma', 'in', 'gq_p', 'and', 'show', 'that', 'its', 'correctness', 'for', 'certain', 'tori', 'is', 'equivalent', 'to', 'leopoldts', 'conjecture']] | [-0.20330610085841058, 0.06962742323916897, -0.1459332628983934, 0.021488394353204883, -0.089983674987518, -0.13508591516259708, 0.038707973084078647, 0.32133198641943483, -0.3356565049726446, -0.19793860847130418, 0.09124271550988954, -0.22611744121542937, -0.0316433352857547, 0.22660205196062067, -0.1645853394326174, -0.07834912952637511, 0.06514554354801493, 0.16705300180979496, -0.07639637313133, -0.25303865821575217, 0.362467867585848, -0.08294509041984126, 0.15506567892108886, 0.025811930028897413, 0.05407113368394521, 0.0363598465831634, 0.013766281359459995, 0.022319440106105693, -0.14081892582551106, 0.11290287017330246, 0.32001050688185784, 0.1334683837342726, 0.23492928756014356, -0.31709344048966775, -0.16476885352793308, 0.2512566278917047, 0.1459929010180651, -0.10812483256999052, 0.029649401101160724, -0.2687837568305011, 0.2106152489816524, -0.19397517279633936, -0.19184979021478937, -0.04370497868238193, 0.13854272913117455, -0.017558505468703103, -0.27561523375224395, -0.02022347367315922, 0.10055765003528234, 0.12138914195644968, -0.01995496668211483, -0.07396971763612456, -0.04941497715892938, 0.07869746721182722, -0.029040964957291505, 0.08672074425332951, 0.05573824962671354, -0.05665144731975951, -0.12978410111951097, 0.443605787902719, -0.059510614230947674, -0.2088242036308039, 0.08184465157957573, -0.2206808914658877, -0.1690538556508298, 0.14946921542286873, 0.11586372434811772, 0.13925681744684587, 0.017386923544108868, 0.24547092846643073, -0.19109349495748867, 0.09458486599636809, 0.044491512613054715, -0.028492301166549605, 0.12998988921314758, 0.08353760411066688, 0.06324823070668949, 0.1407567450715194, 0.03870958731211019, 0.09932696990304152, -0.38730248471476, -0.19636130168647417, -0.11771759893393742, 0.19440064436914223, -0.1234903840503528, -0.16514743910223809, 0.395377534459222, 0.04353514313697815, 0.13643450268878127, 0.13242118516585455, 0.16603904344000905, 0.06586135157278546, 0.031446405686438084, 0.1399878295366916, 0.06887581714270812, 0.2627570480811146, -0.16631629891948388, -0.17524333929924188, -0.002863002115122552, 0.17981782530979165] |
711.5029 | Perturbation theory and excursion set estimates of the probability
distribution function of dark matter, and a method for reconstructing the
initial distribution function | Nonlinear evolution can sometimes be modelled by a deterministic mapping from
initial to final of the local smoothed overdensity. Perturbation theory methods
base on this deterministic and local mapping and ignore the 'cloud-in-cloud'
effect, while the excursion set approach methods take this nonlocality into
account. We compared these methods using the spherical collapse mapping and
showed that, on scales where the rms fluctuation is small, both models give
similar results and they are in good agreement with numerical simulations. If
the deterministic mapping depends on quantities other than overdensity, this
will also manifest as stochasticity if the other quantities are ignored. We
considered the Zeldovich approximation and Ellipsoidal Collapse model, both
include the tidal field in the evolution. Our anaylsis shows that the change in
cell shape effect should be included on scales where the rms is of order of
unity or larger. On scales where the rms is less than 2 methods based on the
spherical collapse model allow a rather accurate reconstruction of the shape of
the initial distribution from the nonlinear field. This can be used as the
basis for constraining the statistical properties of the initial fluctuation
field. (Abridge)
| astro-ph | nonlinear evolution can sometimes be modelled by a deterministic mapping from initial to final of the local smoothed overdensity perturbation theory methods base on this deterministic and local mapping and ignore the cloudincloud effect while the excursion set approach methods take this nonlocality into account we compared these methods using the spherical collapse mapping and showed that on scales where the rms fluctuation is small both models give similar results and they are in good agreement with numerical simulations if the deterministic mapping depends on quantities other than overdensity this will also manifest as stochasticity if the other quantities are ignored we considered the zeldovich approximation and ellipsoidal collapse model both include the tidal field in the evolution our anaylsis shows that the change in cell shape effect should be included on scales where the rms is of order of unity or larger on scales where the rms is less than 2 methods based on the spherical collapse model allow a rather accurate reconstruction of the shape of the initial distribution from the nonlinear field this can be used as the basis for constraining the statistical properties of the initial fluctuation field abridge | [['nonlinear', 'evolution', 'can', 'sometimes', 'be', 'modelled', 'by', 'a', 'deterministic', 'mapping', 'from', 'initial', 'to', 'final', 'of', 'the', 'local', 'smoothed', 'overdensity', 'perturbation', 'theory', 'methods', 'base', 'on', 'this', 'deterministic', 'and', 'local', 'mapping', 'and', 'ignore', 'the', 'cloudincloud', 'effect', 'while', 'the', 'excursion', 'set', 'approach', 'methods', 'take', 'this', 'nonlocality', 'into', 'account', 'we', 'compared', 'these', 'methods', 'using', 'the', 'spherical', 'collapse', 'mapping', 'and', 'showed', 'that', 'on', 'scales', 'where', 'the', 'rms', 'fluctuation', 'is', 'small', 'both', 'models', 'give', 'similar', 'results', 'and', 'they', 'are', 'in', 'good', 'agreement', 'with', 'numerical', 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712.0001 | The Computation of the Logarithmic Cohomology for Plane Curves | We give algorithms of computing bases of logarithmic cohomology groups for
square-free polynomials in two variables. (Fixed typos of v1)
| math.AG | we give algorithms of computing bases of logarithmic cohomology groups for squarefree polynomials in two variables fixed typos of v1 | [['we', 'give', 'algorithms', 'of', 'computing', 'bases', 'of', 'logarithmic', 'cohomology', 'groups', 'for', 'squarefree', 'polynomials', 'in', 'two', 'variables', 'fixed', 'typos', 'of', 'v1']] | [-0.29522764394059775, 0.021398584893904626, -0.101120391394943, 0.057645701034925875, 0.007232561183627695, -0.2210538623854518, -0.00668445897026686, 0.3404541330877692, -0.33984117619693277, -0.23395687155425549, 0.052131017664214595, -0.24438596153631806, -0.1092352629173547, 0.15855374056845903, -0.19013902908191085, 0.03573669120669365, 0.027399712521582843, 0.07018798198550939, -0.09124219317454844, -0.46491662533953787, 0.3744004167616367, -0.04353050184436143, 0.0887837776914239, -0.0030023030936717986, 0.10800494626164436, -0.05988883492536843, -0.10300359465181827, -0.09267644817009568, -0.12937520103296266, 0.21046810494735838, 0.41492212992161515, 0.1290387731976807, 0.23384566120803357, -0.4264680705964565, 0.0217805435648188, 0.2235347531270236, 0.1800213817739859, 0.0580250441795215, 0.01521094935014844, -0.16393022891134024, 0.07108655164483935, -0.1722240898758173, -0.12719071665778756, -0.1703566536307335, 0.12483387617394329, 0.09783825161866844, -0.263663063198328, 0.0607279846444726, 0.07416575893294067, 0.29993442143313587, -0.013488777913153172, -0.2705627527087927, 0.05268378094770014, 0.11109939643647522, -0.038147675525397065, -0.007688782457262277, 0.09180719789583236, -0.1529868535231799, -0.2636942837387323, 0.35651677921414376, -0.004413902759552002, -0.22190025663003327, 0.04455291721969843, -0.21405093129724265, -0.33559814537875354, 0.10423569004051388, 0.10762125155888498, 0.12932548706885427, -0.004974595736712217, 0.13439409490674734, -0.09890077891759574, 0.09299430157989264, 0.20038667367771268, 0.035800748597830535, 0.06223944714292884, -0.06513761635869741, 0.043095331313088535, 0.1649013940244913, 0.07131379349157214, -0.0015028626658022404, -0.34492429066449404, -0.2002387246116996, -0.13442047825083137, 0.04165861445944756, -0.23716714933980257, -0.1993211194057949, 0.42955274116247893, 0.11310597090050578, 0.15703170676715672, 0.16123051778413355, 0.19233420062810183, 0.05216277614235878, 0.06345654460601509, 0.12103333731647581, 0.05174378050724045, 0.216224757861346, -0.011904129292815924, -0.04923549294471741, -0.002013702574186027, 0.28015792462974787] |
712.0002 | New classification techniques for ordinary differential equations | The goal of the present paper is to propose an enhanced ordinary differential
equations solver by exploitation of the powerful equivalence method of \'Elie
Cartan. This solver returns a target equation equivalent to the equation to be
solved and the transformation realizing the equivalence. The target ODE is a
member of a dictionary of ODE, that are regarded as well-known, or at least
well-studied. The dictionary considered in this article are ODE in a book of
Kamke. The major advantage of our solver is that the equivalence transformation
is obtained without integrating differential equations. We provide also a
theoretical contribution revealing the relationship between the change of
coordinates that maps two differential equations and their symmetry
pseudo-groups.
| math.DG | the goal of the present paper is to propose an enhanced ordinary differential equations solver by exploitation of the powerful equivalence method of elie cartan this solver returns a target equation equivalent to the equation to be solved and the transformation realizing the equivalence the target ode is a member of a dictionary of ode that are regarded as wellknown or at least wellstudied the dictionary considered in this article are ode in a book of kamke the major advantage of our solver is that the equivalence transformation is obtained without integrating differential equations we provide also a theoretical contribution revealing the relationship between the change of coordinates that maps two differential equations and their symmetry pseudogroups | [['the', 'goal', 'of', 'the', 'present', 'paper', 'is', 'to', 'propose', 'an', 'enhanced', 'ordinary', 'differential', 'equations', 'solver', 'by', 'exploitation', 'of', 'the', 'powerful', 'equivalence', 'method', 'of', 'elie', 'cartan', 'this', 'solver', 'returns', 'a', 'target', 'equation', 'equivalent', 'to', 'the', 'equation', 'to', 'be', 'solved', 'and', 'the', 'transformation', 'realizing', 'the', 'equivalence', 'the', 'target', 'ode', 'is', 'a', 'member', 'of', 'a', 'dictionary', 'of', 'ode', 'that', 'are', 'regarded', 'as', 'wellknown', 'or', 'at', 'least', 'wellstudied', 'the', 'dictionary', 'considered', 'in', 'this', 'article', 'are', 'ode', 'in', 'a', 'book', 'of', 'kamke', 'the', 'major', 'advantage', 'of', 'our', 'solver', 'is', 'that', 'the', 'equivalence', 'transformation', 'is', 'obtained', 'without', 'integrating', 'differential', 'equations', 'we', 'provide', 'also', 'a', 'theoretical', 'contribution', 'revealing', 'the', 'relationship', 'between', 'the', 'change', 'of', 'coordinates', 'that', 'maps', 'two', 'differential', 'equations', 'and', 'their', 'symmetry', 'pseudogroups']] | [-0.12689766049798992, 0.0025743439140118673, -0.12495495755679141, 0.05667169789513016, -0.11779146598508725, -0.1419951211080019, -0.012920518191809902, 0.31092828281351137, -0.3445816219378358, -0.3128164701694105, 0.10269029046663553, -0.2954241055597225, -0.15453829690535417, 0.16124051597773328, -0.05020603199656575, 0.034306946648364395, 0.05353423814352952, 0.009386571496575832, -0.12162287547014272, -0.23699520875074956, 0.3514592886512351, 0.01662929031329277, 0.23687818150521597, -0.04080060219619041, 0.19945808300317133, -0.0457082099130011, -0.03985385972465205, 0.02468671253285347, -0.0744857609163921, 0.14398238181860912, 0.292346376619246, 0.13215660532681733, 0.26371319116387737, -0.39953177578301513, -0.14363468176502192, 0.06494541054304975, 0.12970751786552784, 0.10931756048121004, -0.05746448233835081, -0.2865596144961623, 0.061959389682747744, -0.14125163404024246, -0.16453675500268483, -0.06078858471785983, 0.007413255166198708, 0.006199467544638926, -0.22861713672088635, 0.056401909768726166, 0.11784779056349498, 0.055886048083313, -0.05884164892152971, -0.07611363518059763, -0.009852277785619227, 0.08355909481079468, 0.03918633463943743, 0.029557356622834235, 0.05025386189421018, -0.1010597068657223, -0.10399498610805051, 0.4118899961248932, -0.0878646987864477, -0.2489461796119427, 0.13480162534576196, -0.06493497949837843, -0.13282168964640453, 0.12301072502174439, 0.1558229578499738, 0.15024518723894134, -0.1967626837774729, 0.10390155335677326, -0.05994166188244509, 0.15161511222394103, 0.03957668980424348, -0.061403616395197876, 0.12990912542336136, 0.1765646030409978, 0.07557573405484486, 0.13841905549037245, 0.00985849999751036, -0.1193977166683628, -0.32701866983328587, -0.20215304118668675, -0.11247624043558334, 0.05996816374488875, -0.07957412194212875, -0.1531072426467943, 0.3636286600898856, 0.14937259040327153, 0.14790883660316467, 0.04848960445970934, 0.2745693079076516, 0.19529996351209572, 0.03982947149680147, 0.02749253822486593, 0.22848484684557965, 0.18666729607030302, 0.07926122927208656, -0.224436350292168, 0.055367389184414834, 0.16028958558240253] |
712.0003 | The Galaxy Cross-Correlation Function as a Probe of the Spatial
Distribution of Galactic Satellites | The spatial distribution of satellite galaxies around host galaxies can
illuminate the relationship between satellites and dark matter subhalos and aid
in developing and testing galaxy formation models. Previous efforts to
constrain the distribution attempted to eliminate interlopers from the measured
projected number density of satellites and found that the distribution is
generally consistent with the expected dark matter halo profile of the parent
hosts, with a best-fit power-law slope of ~ -1.7 between projected separations
of ~30 kpc/h and 0.5 Mpc/h. Here, I use the projected cross-correlation of
bright and faint galaxies to analyze contributions from satellites and
interlopers together, using a halo occupation distribution (HOD) analytic model
for galaxy clustering. This approach is tested on mock catalogs constructed
from simulations. I find that analysis of Sloan Digital Sky Survey (SDSS) data
gives results generally consistent with interloper subtraction methods between
the projected separations of 10 kpc/h and 6.3 Mpc/h, although the errors on the
parameters that constrain the radial profile are large, and larger samples of
data are required.
| astro-ph | the spatial distribution of satellite galaxies around host galaxies can illuminate the relationship between satellites and dark matter subhalos and aid in developing and testing galaxy formation models previous efforts to constrain the distribution attempted to eliminate interlopers from the measured projected number density of satellites and found that the distribution is generally consistent with the expected dark matter halo profile of the parent hosts with a bestfit powerlaw slope of 17 between projected separations of 30 kpch and 05 mpch here i use the projected crosscorrelation of bright and faint galaxies to analyze contributions from satellites and interlopers together using a halo occupation distribution hod analytic model for galaxy clustering this approach is tested on mock catalogs constructed from simulations i find that analysis of sloan digital sky survey sdss data gives results generally consistent with interloper subtraction methods between the projected separations of 10 kpch and 63 mpch although the errors on the parameters that constrain the radial profile are large and larger samples of data are required | [['the', 'spatial', 'distribution', 'of', 'satellite', 'galaxies', 'around', 'host', 'galaxies', 'can', 'illuminate', 'the', 'relationship', 'between', 'satellites', 'and', 'dark', 'matter', 'subhalos', 'and', 'aid', 'in', 'developing', 'and', 'testing', 'galaxy', 'formation', 'models', 'previous', 'efforts', 'to', 'constrain', 'the', 'distribution', 'attempted', 'to', 'eliminate', 'interlopers', 'from', 'the', 'measured', 'projected', 'number', 'density', 'of', 'satellites', 'and', 'found', 'that', 'the', 'distribution', 'is', 'generally', 'consistent', 'with', 'the', 'expected', 'dark', 'matter', 'halo', 'profile', 'of', 'the', 'parent', 'hosts', 'with', 'a', 'bestfit', 'powerlaw', 'slope', 'of', '17', 'between', 'projected', 'separations', 'of', '30', 'kpch', 'and', '05', 'mpch', 'here', 'i', 'use', 'the', 'projected', 'crosscorrelation', 'of', 'bright', 'and', 'faint', 'galaxies', 'to', 'analyze', 'contributions', 'from', 'satellites', 'and', 'interlopers', 'together', 'using', 'a', 'halo', 'occupation', 'distribution', 'hod', 'analytic', 'model', 'for', 'galaxy', 'clustering', 'this', 'approach', 'is', 'tested', 'on', 'mock', 'catalogs', 'constructed', 'from', 'simulations', 'i', 'find', 'that', 'analysis', 'of', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'data', 'gives', 'results', 'generally', 'consistent', 'with', 'interloper', 'subtraction', 'methods', 'between', 'the', 'projected', 'separations', 'of', '10', 'kpch', 'and', '63', 'mpch', 'although', 'the', 'errors', 'on', 'the', 'parameters', 'that', 'constrain', 'the', 'radial', 'profile', 'are', 'large', 'and', 'larger', 'samples', 'of', 'data', 'are', 'required']] | [-0.04244803231319084, 0.05434262293582673, -0.130387157366118, 0.14523877101087504, -0.10254029890467577, -0.045301914116477264, 0.02348798236754887, 0.389058451047715, -0.1255571668584119, -0.43114173180040194, -0.0017053699791979263, -0.35408362694742046, -0.007724708636455676, 0.18324663008919315, 0.0020383915562620933, 0.0014687272271497504, 0.03784247432999751, -0.1480262571178815, -0.08712245695813395, -0.2912798992221189, 0.3085933942019063, 0.0737017433213837, 0.2102293199065196, -0.09486381095176673, 0.07360640213455019, -0.04787050944150371, -0.1531511451528572, -0.005406020166735877, -0.19506444594448755, 0.04455160549567903, 0.2195006967833144, 0.13406666701536296, 0.21090377154212225, -0.33053614826434674, -0.16174895510844448, 0.11072672266951379, 0.22542995634105276, 0.07643969678593909, -0.07441988639423952, -0.32378843460944207, 0.09364636867437237, -0.20158866189201088, -0.1856806020526325, 0.04302416453137994, 0.043095138152677785, 0.08306553353665068, -0.2013682854574119, 0.21617209839031976, -0.040817967101055036, 0.0793005750312552, -0.06762608865221195, -0.12682984565275118, -0.10221508345840609, 0.04876565445310382, 0.03929187048993567, 0.06686625735806849, 0.2157011406359208, -0.12507352105697947, 0.0010076495325740645, 0.41854336222048216, -0.048903516363626456, -0.026190554421833333, 0.18892645444173148, -0.1930164356579018, -0.14339685737812782, 0.09207503945251708, 0.17879271697636476, 0.0476162557135788, -0.1459571774391567, 0.015570543633486308, -0.015169989286839743, 0.27877198009587384, 0.02729947697919081, 0.018490765287766837, 0.3427749736015411, 0.061360479316756346, 0.08669532868901596, 0.03506293191766257, -0.27277093366137706, -0.0248185171663542, -0.22236310256617692, -0.043407610909301134, -0.2053950183915303, 0.010072804374538143, -0.14229992746627163, -0.08808468640097143, 0.36594222968663365, 0.17197134515599294, 0.2516007297686027, 0.16289028564933689, 0.3362702554091811, 0.027799746336634543, 0.12869587397093282, 0.06925216629717718, 0.2741037048235097, 0.17303064613438704, 0.0016404726679491645, -0.19146426532123073, 0.024026787765871954, -0.0719975344987367] |
712.0004 | The On/Off Nature of Star-Planet Interactions | Evidence suggesting an observable magnetic interaction between a star and its
hot Jupiter appears as a cyclic variation of stellar activity synchronized to
the planet's orbit. In this study, we monitored the chromospheric activity of 7
stars with hot Jupiters using new high-resolution echelle spectra collected
with ESPaDOnS over a few nights in 2005 and 2006 from the CFHT. We searched for
variability in several stellar activity indicators (Ca II H, K, the Ca II
infrared triplet, Halpha, and He I). HD 179949 has been observed almost every
year since 2001. Synchronicity of the Ca II H & K emission with the orbit is
clearly seen in four out of six epochs, while rotational modulation with
P_rot=7 days is apparent in the other two seasons. We observe a similar
phenomenon on upsilon And, which displays rotational modulation (P_rot=12 days)
in September 2005, in 2002 and 2003 variations appear to correlate with the
planet's orbital period. This on/off nature of star-planet interaction (SPI) in
the two systems is likely a function of the changing stellar magnetic field
structure throughout its activity cycle. Variability in the transiting system
HD 189733 is likely associated with an active region rotating with the star,
however, the flaring in excess of the rotational modulation may be associated
with its hot Jupiter. As for HD 179949, the peak variability as measured by the
mean absolute deviation for both HD 189733 and tau Boo leads the sub-planetary
longitude by 70 degrees. The tentative correlation between this activity and
the ratio of Mpsini to the planet's rotation period, a quantity proportional to
the hot Jupiter's magnetic moment, first presented in Shkolnik et al. 2005
remains viable. This work furthers the characterization of SPI, improving its
potential as a probe of extrasolar planetary magnetic fields.
| astro-ph | evidence suggesting an observable magnetic interaction between a star and its hot jupiter appears as a cyclic variation of stellar activity synchronized to the planets orbit in this study we monitored the chromospheric activity of 7 stars with hot jupiters using new highresolution echelle spectra collected with espadons over a few nights in 2005 and 2006 from the cfht we searched for variability in several stellar activity indicators ca ii h k the ca ii infrared triplet halpha and he i hd 179949 has been observed almost every year since 2001 synchronicity of the ca ii h k emission with the orbit is clearly seen in four out of six epochs while rotational modulation with p_rot7 days is apparent in the other two seasons we observe a similar phenomenon on upsilon and which displays rotational modulation p_rot12 days in september 2005 in 2002 and 2003 variations appear to correlate with the planets orbital period this onoff nature of starplanet interaction spi in the two systems is likely a function of the changing stellar magnetic field structure throughout its activity cycle variability in the transiting system hd 189733 is likely associated with an active region rotating with the star however the flaring in excess of the rotational modulation may be associated with its hot jupiter as for hd 179949 the peak variability as measured by the mean absolute deviation for both hd 189733 and tau boo leads the subplanetary longitude by 70 degrees the tentative correlation between this activity and the ratio of mpsini to the planets rotation period a quantity proportional to the hot jupiters magnetic moment first presented in shkolnik et al 2005 remains viable this work furthers the characterization of spi improving its potential as a probe of extrasolar planetary magnetic fields | [['evidence', 'suggesting', 'an', 'observable', 'magnetic', 'interaction', 'between', 'a', 'star', 'and', 'its', 'hot', 'jupiter', 'appears', 'as', 'a', 'cyclic', 'variation', 'of', 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712.0005 | Absence of a Diffusion Anomaly in Water Perpendicular to Hydrophobic
Nanoconfining Walls | We perform molecular dynamics simulations to investigate the diffusive motion
of TIP5P water in the direction perpendicular to the two hydrophobic confining
walls. To calculate the diffusion coefficient, we use the concept of the
characteristic residence time which is calculated from the exponential decay of
the residence time probability distribution function. We find that a diffusion
anomaly of water, increase of diffusion upon compression, is absent in the
direction perpendicular to the confining walls down to the lowest temperature
we simulate, 220K, whereas there is a diffusion anomaly, similar to that in
bulk water, in the direction parallel to the walls. The absence of a diffusion
anomaly may arise mainly due to nanoconfinement, rather than due to the
hydrophobic property of the confining walls.
| cond-mat.soft cond-mat.stat-mech | we perform molecular dynamics simulations to investigate the diffusive motion of tip5p water in the direction perpendicular to the two hydrophobic confining walls to calculate the diffusion coefficient we use the concept of the characteristic residence time which is calculated from the exponential decay of the residence time probability distribution function we find that a diffusion anomaly of water increase of diffusion upon compression is absent in the direction perpendicular to the confining walls down to the lowest temperature we simulate 220k whereas there is a diffusion anomaly similar to that in bulk water in the direction parallel to the walls the absence of a diffusion anomaly may arise mainly due to nanoconfinement rather than due to the hydrophobic property of the confining walls | [['we', 'perform', 'molecular', 'dynamics', 'simulations', 'to', 'investigate', 'the', 'diffusive', 'motion', 'of', 'tip5p', 'water', 'in', 'the', 'direction', 'perpendicular', 'to', 'the', 'two', 'hydrophobic', 'confining', 'walls', 'to', 'calculate', 'the', 'diffusion', 'coefficient', 'we', 'use', 'the', 'concept', 'of', 'the', 'characteristic', 'residence', 'time', 'which', 'is', 'calculated', 'from', 'the', 'exponential', 'decay', 'of', 'the', 'residence', 'time', 'probability', 'distribution', 'function', 'we', 'find', 'that', 'a', 'diffusion', 'anomaly', 'of', 'water', 'increase', 'of', 'diffusion', 'upon', 'compression', 'is', 'absent', 'in', 'the', 'direction', 'perpendicular', 'to', 'the', 'confining', 'walls', 'down', 'to', 'the', 'lowest', 'temperature', 'we', 'simulate', '220k', 'whereas', 'there', 'is', 'a', 'diffusion', 'anomaly', 'similar', 'to', 'that', 'in', 'bulk', 'water', 'in', 'the', 'direction', 'parallel', 'to', 'the', 'walls', 'the', 'absence', 'of', 'a', 'diffusion', 'anomaly', 'may', 'arise', 'mainly', 'due', 'to', 'nanoconfinement', 'rather', 'than', 'due', 'to', 'the', 'hydrophobic', 'property', 'of', 'the', 'confining', 'walls']] | [-0.15086015908332961, 0.17866166758411114, -0.06837521766682321, 0.03769637188017969, -0.050395776833137194, -0.08296901479198207, 0.027293342642576223, 0.3920682796066807, -0.3260344819000532, -0.24756724936436983, 0.053447720818146464, -0.2527162826154381, -0.09595336338445064, 0.10033880935365995, 0.018903388945956626, -0.013568331229297684, -0.029257258310193015, 0.006849628963297413, -0.04982519363834252, -0.176397634824107, 0.22951305029733526, 0.045342138202320185, 0.3145369808790424, 0.14019192247501305, 0.06446060740328845, -0.04660501799005414, 0.007588510264477302, 0.019817504656290817, -0.16272459433457698, 0.06666330836202589, 0.16667173655643577, -0.07029837816803446, 0.19705562512840955, -0.47307097165274525, -0.2344913113141252, 0.09278320231016786, 0.16227892980039602, 0.1484341144650018, -0.026502884102932688, -0.2223820183125715, 0.04432050152982195, -0.09383016917479015, -0.18325262419098326, 0.023505994478323227, 0.022644860739444172, 0.004547067054156815, -0.21177998641806264, 0.17501841725841646, 0.04540411538759907, 0.026692486364364384, -0.08048650627249791, -0.09687222562159502, -0.02865777315098732, 0.0984233420111254, 0.14005415068916796, 0.0614965241045631, 0.2347299401055, -0.16781696827421266, -0.0633324651590233, 0.4056210128229953, -0.13228396072313883, -0.2102013609311994, 0.2576706140140642, -0.20120554174777242, -0.05753017075720333, 0.22395021087610192, 0.17360972503816047, 0.1021366192069235, -0.1555480188014166, 0.037226040284299565, 0.0010129297602801553, 0.14538420229631988, 0.10821566470493112, -0.04890195674623453, 0.18162182846196717, 0.14937682391234464, 0.072769331882873, 0.1726912425477959, -0.15561061865845394, -0.15150351436703555, -0.24379593238324648, -0.21816598337083573, -0.1890846858131549, 0.04843949312494407, -0.07174399941258373, -0.19903981366341242, 0.361036067431879, 0.17035095960806845, 0.18337039143267658, 0.02473484648996213, 0.2575509237133027, 0.07697053372319188, 0.09082877953656979, 0.06889099978780583, 0.2415244392186944, 0.1372134474691965, 0.1508479832911924, -0.3192908225990381, 0.11474606548548646, 0.04295058238823267] |
712.0006 | Solitary wave trains in granular chains: Experiments, theory and
simulations | The features of solitary waves observed in horizontal monodisperse chain of
barely touching beads not only depend on geometrical and material properties of
the beads but also on the initial perturbation provided at the edge of the
chain. An impact of a large striker on a monodisperse chain, and similarly a
sharp decrease of bead radius in a stepped chain, generates a solitary wave
train containing many single solitary waves ordered by decreasing amplitudes.
We find, by simple analytical arguments, that the unloading of compression
force at the chain edge has a nearly exponential decrease. The characteristic
time is mainly a function involving the grains' masses and the striker mass.
Numerical calculations and experiments corroborate these findings.
| cond-mat.soft cond-mat.mtrl-sci | the features of solitary waves observed in horizontal monodisperse chain of barely touching beads not only depend on geometrical and material properties of the beads but also on the initial perturbation provided at the edge of the chain an impact of a large striker on a monodisperse chain and similarly a sharp decrease of bead radius in a stepped chain generates a solitary wave train containing many single solitary waves ordered by decreasing amplitudes we find by simple analytical arguments that the unloading of compression force at the chain edge has a nearly exponential decrease the characteristic time is mainly a function involving the grains masses and the striker mass numerical calculations and experiments corroborate these findings | [['the', 'features', 'of', 'solitary', 'waves', 'observed', 'in', 'horizontal', 'monodisperse', 'chain', 'of', 'barely', 'touching', 'beads', 'not', 'only', 'depend', 'on', 'geometrical', 'and', 'material', 'properties', 'of', 'the', 'beads', 'but', 'also', 'on', 'the', 'initial', 'perturbation', 'provided', 'at', 'the', 'edge', 'of', 'the', 'chain', 'an', 'impact', 'of', 'a', 'large', 'striker', 'on', 'a', 'monodisperse', 'chain', 'and', 'similarly', 'a', 'sharp', 'decrease', 'of', 'bead', 'radius', 'in', 'a', 'stepped', 'chain', 'generates', 'a', 'solitary', 'wave', 'train', 'containing', 'many', 'single', 'solitary', 'waves', 'ordered', 'by', 'decreasing', 'amplitudes', 'we', 'find', 'by', 'simple', 'analytical', 'arguments', 'that', 'the', 'unloading', 'of', 'compression', 'force', 'at', 'the', 'chain', 'edge', 'has', 'a', 'nearly', 'exponential', 'decrease', 'the', 'characteristic', 'time', 'is', 'mainly', 'a', 'function', 'involving', 'the', 'grains', 'masses', 'and', 'the', 'striker', 'mass', 'numerical', 'calculations', 'and', 'experiments', 'corroborate', 'these', 'findings']] | [-0.16717919550485846, 0.22597031330037565, -0.08346537920113048, 0.03571346293613474, -0.039482556118303515, -0.11541383625525567, 0.040174928402257525, 0.3918728206752457, -0.23534967980355534, -0.24844591652289924, 0.09893506231745626, -0.3198056107179986, -0.1257499407690305, 0.1736997900606316, 0.04358711863995299, 0.049368474879262284, 0.09491309029663093, 0.02973994876966517, -0.03871068966368006, -0.18286003832084438, 0.27019800108849495, 0.05270296144975811, 0.2599163829153961, 0.07372518877735616, 0.09070530457374378, 0.012394626776029358, 0.034183159466578156, 0.027389615503513914, -0.1986992397074091, 0.055615642506024264, 0.1502971244402803, 0.005452493770828105, 0.22655916295977485, -0.4814207021974855, -0.20892146514712745, 0.047361536926597864, 0.1605112700858432, 0.13793717401149946, -0.05669926276179747, -0.24913846047069782, 0.05119702602840132, -0.13737548796786395, -0.17864898725962028, -0.00508173733863096, 0.05787984963952222, 0.1066564251912527, -0.23142410938540459, 0.08642037317498077, 0.08397103286881605, 0.061698909282212194, -0.06365117516804439, -0.07993961334562837, -0.06918914290941042, 0.050798593956626885, 0.0816535325621406, 0.01125341873221959, 0.1718232938144197, -0.1134861446917057, -0.06227472911187862, 0.3376160899045853, -0.06820775130485049, -0.17538751801873884, 0.2204614626442711, -0.1519933519168542, -0.07617299615317939, 0.22062397049441457, 0.15742476358432642, 0.10706395682536511, -0.08316998273675513, 0.012540378390898945, -0.06371053790911917, 0.2150221160079679, 0.14429227377160683, -0.04501141726763712, 0.2428276541396084, 0.16966491737243775, 0.03656768552913195, 0.15168169183003852, -0.09205967037238054, -0.08761599567583483, -0.26314379051168507, -0.13138917599741018, -0.22666647184329727, -0.007895339596280271, -0.12011618278154498, -0.23592101849424532, 0.3931415824450425, 0.064350059721409, 0.21900236531773692, 0.0688997323358129, 0.24502931899414995, 0.08644703223218775, 0.06755151079060176, 0.04763809581699883, 0.2396834382874907, 0.13873816284542093, 0.06626839304947828, -0.22799916617954388, 0.06277668530232886, 0.040668288240822144] |
712.0007 | Enhanced Rare Pion Decays from a Model of MeV Dark Matter | A model has been proposed in which neutral scalar particles chi, of mass 1-10
MeV, annihilate through the exchange of a light vector boson U, of mass 10-100
MeV, to produce the 511 keV line observed emanating from the center of the
galaxy. The chi interacts weakly with normal matter and is a viable dark matter
candidate. If the U-boson couples to quarks as well as to electrons, it could
enhance the branching ratio for the rare decay pi0 -> e+e-. A recent
measurement by the KTeV Collaboration lies three standard deviations above a
prediction by Dorokhov and Ivanov, and we relate this excess to the couplings
of the U-boson. The values are consistent with other constraints and
considerations. We make some comments on possible improvements in the data.
| hep-ph | a model has been proposed in which neutral scalar particles chi of mass 110 mev annihilate through the exchange of a light vector boson u of mass 10100 mev to produce the 511 kev line observed emanating from the center of the galaxy the chi interacts weakly with normal matter and is a viable dark matter candidate if the uboson couples to quarks as well as to electrons it could enhance the branching ratio for the rare decay pi0 ee a recent measurement by the ktev collaboration lies three standard deviations above a prediction by dorokhov and ivanov and we relate this excess to the couplings of the uboson the values are consistent with other constraints and considerations we make some comments on possible improvements in the data | [['a', 'model', 'has', 'been', 'proposed', 'in', 'which', 'neutral', 'scalar', 'particles', 'chi', 'of', 'mass', '110', 'mev', 'annihilate', 'through', 'the', 'exchange', 'of', 'a', 'light', 'vector', 'boson', 'u', 'of', 'mass', '10100', 'mev', 'to', 'produce', 'the', '511', 'kev', 'line', 'observed', 'emanating', 'from', 'the', 'center', 'of', 'the', 'galaxy', 'the', 'chi', 'interacts', 'weakly', 'with', 'normal', 'matter', 'and', 'is', 'a', 'viable', 'dark', 'matter', 'candidate', 'if', 'the', 'uboson', 'couples', 'to', 'quarks', 'as', 'well', 'as', 'to', 'electrons', 'it', 'could', 'enhance', 'the', 'branching', 'ratio', 'for', 'the', 'rare', 'decay', 'pi0', 'ee', 'a', 'recent', 'measurement', 'by', 'the', 'ktev', 'collaboration', 'lies', 'three', 'standard', 'deviations', 'above', 'a', 'prediction', 'by', 'dorokhov', 'and', 'ivanov', 'and', 'we', 'relate', 'this', 'excess', 'to', 'the', 'couplings', 'of', 'the', 'uboson', 'the', 'values', 'are', 'consistent', 'with', 'other', 'constraints', 'and', 'considerations', 'we', 'make', 'some', 'comments', 'on', 'possible', 'improvements', 'in', 'the', 'data']] | [-0.07738136185844269, 0.22751240037177922, -0.05391109745869471, 0.10742695262888446, -0.10917487042615903, -0.1410375341620238, 0.07310530530230608, 0.3247552007960621, -0.2132232975855004, -0.33615179726621136, -0.002041447391093243, -0.3740815776400268, 0.0172286968336266, 0.16589131615000952, 0.04858050260372693, 0.029169315977128463, 0.05965975929848355, 0.06424387492006645, -0.04674471818498205, -0.21405953861722082, 0.263388477450917, 0.07012703876534943, 0.21254768913786393, 0.1029139326819859, 0.06283209650518984, -0.005970492937194649, -0.018396153533103643, -0.07738422071270179, -0.1244435783719382, 0.07450191673615336, 0.1601880162706948, 0.0806399306561616, 0.1617268989666627, -0.32516617562941974, -0.18055017726874212, 0.16912799603596795, 0.14171067458664766, 0.03135592659509712, -0.08538732343004085, -0.33856737883888854, 0.10040905714413384, -0.18690576577500906, -0.12360957592682098, -0.020411746516401763, 0.004032694039779017, -0.01605664981616428, -0.3012434997872333, 0.10514654713188065, -0.013655234290126828, -0.051129645245737265, -0.046332883946888614, -0.15871191162295872, -0.03986054175584286, 0.006394277823346783, 0.14657032327249908, 0.0750881595104147, 0.19445538002833018, -0.15961668668387574, -0.12276590461351589, 0.419162409263663, -0.12984336459794577, -0.1427431930351304, 0.17899865161462003, -0.15177987315655628, -0.125853953519254, 0.1570304951237631, 0.15683267228814657, 0.047526670241495594, -0.15809464250560268, 0.11580876195876044, -0.06035768266337982, 0.1592594446210569, 0.04183370090322569, 0.01844229555183574, 0.28256228561622265, 0.16322798417240847, -0.001670893187110778, 0.057735183553177194, -0.13178105024235265, -0.05903426213490093, -0.32214877700354805, -0.1459402962573222, -0.0998278500142078, 0.05569224350301738, -0.04452841127431384, -0.07474224887846503, 0.37551847860595444, 0.11863011676177848, 0.2785325442237081, -0.00902530342227692, 0.27882891254193964, 0.08462040973790863, 0.08618046848823724, 0.054228149472692166, 0.34418204185681134, 0.18827521191451524, 0.09659274971636478, -0.20501473315198382, 0.00583327055664995, -0.028401983327057678] |
712.0008 | Neither black-holes nor regular solitons: a no-go theorem | By studying the BPS equations for electrostatic and spherically symmetric
configurations in N=2, d=5 gauged supergravity with vector multiplets and
hypermultiplets coupled, we demonstrate that no regular supersymmetric
black-hole solutions of this kind exist. Furthermore, we demonstrate that it is
not possible to construct supersymmetric regular solitons that have the above
symmetries. As a consequence the scalar flow associated to the BPS solutions is
always unbounded.
| hep-th | by studying the bps equations for electrostatic and spherically symmetric configurations in n2 d5 gauged supergravity with vector multiplets and hypermultiplets coupled we demonstrate that no regular supersymmetric blackhole solutions of this kind exist furthermore we demonstrate that it is not possible to construct supersymmetric regular solitons that have the above symmetries as a consequence the scalar flow associated to the bps solutions is always unbounded | [['by', 'studying', 'the', 'bps', 'equations', 'for', 'electrostatic', 'and', 'spherically', 'symmetric', 'configurations', 'in', 'n2', 'd5', 'gauged', 'supergravity', 'with', 'vector', 'multiplets', 'and', 'hypermultiplets', 'coupled', 'we', 'demonstrate', 'that', 'no', 'regular', 'supersymmetric', 'blackhole', 'solutions', 'of', 'this', 'kind', 'exist', 'furthermore', 'we', 'demonstrate', 'that', 'it', 'is', 'not', 'possible', 'to', 'construct', 'supersymmetric', 'regular', 'solitons', 'that', 'have', 'the', 'above', 'symmetries', 'as', 'a', 'consequence', 'the', 'scalar', 'flow', 'associated', 'to', 'the', 'bps', 'solutions', 'is', 'always', 'unbounded']] | [-0.1326523435753629, 0.15421966899355705, 0.013872499778782103, 0.1380486696566963, -0.09800448859900687, -0.20164821976372463, -0.08050789672768477, 0.3347934196971244, -0.12435956031196949, -0.23930368075768152, 0.1220828396335216, -0.29403467112305487, -0.18881533359826513, 0.09323454342401502, -0.03606531060667652, 0.04110989026781736, 0.012773792555725033, 0.07629647008566694, -0.09002125666522647, -0.24819691251314274, 0.36043319537191454, -0.08027588211663181, 0.2182455909805316, 0.013206830720953418, 0.10705287588026488, -0.06012954085246858, 0.08250414887725403, 0.021485948257825592, -0.14100118867414, 0.09691525376260732, 0.26114808921137767, 0.0924645946784453, 0.09082093168840263, -0.43429448780123936, -0.24013429803943093, 0.17424875547206312, 0.22396999785225047, 0.18527422124999715, -0.08265582438748838, -0.25660468062216585, 0.149378961592447, -0.17943247317364722, -0.22798887867424072, -0.13699463984195256, 0.05972280389996189, -0.0400690716747759, -0.2509170927311943, 0.08986018655934569, 0.06243968742306937, -0.026149138610697155, -0.12265167062199026, -0.03365534234961325, -0.17092164517662517, 0.01866214943231281, 0.14629530916907685, -0.0011131354170202305, 0.07045771551995793, -0.18340320487605463, -0.175715249583873, 0.3227733966866226, -0.06924650493557706, -0.3286277878126412, 0.15184603070939015, -0.11868456245583454, -0.13239002466258226, 0.1247569575877578, 0.09622303347075076, 0.2187882723554856, -0.10514771695615667, 0.2146332035613754, -0.11883379068846504, 0.2012763773849601, 0.15533258547216203, 0.02282171902973487, 0.2833777133262519, 0.07151362333079857, 0.1055137499643024, 0.1633578512930509, 0.025773022414686046, -0.15786268721752672, -0.41422329888199316, -0.11018732516800589, -0.09295880915173753, 0.12665689617036455, -0.10068296932458355, -0.19674406461699895, 0.3848306337004584, 0.08461895627745737, 0.11247600300350424, 0.06019903736358339, 0.15960054115787375, 0.09371816375906664, 0.07726524153611425, 0.10823682742193341, 0.2938478998698746, 0.14956173659513958, 0.0988986306315796, -0.2531527746389408, -0.20443669789132068, 0.15928701755844735] |
712.0009 | The Magnetic Fields of Anomalous X-ray Pulsars | Anomalous X-ray Pulsars (AXPs) belong to a class of neutron stars believed to
harbor the strongest magnetic fields in the universe, as indicated by their
energetic bursts and their rapid spindowns. We have developed a theoretical
model that takes into account processes in the atmospheres and magnetospheres
of ultramagnetic neutron stars, as well as the effects of their strong
gravitational fields on the observable properties. Using this model, we have
analyzed the X-ray spectra of a number of AXPs. We find that in all cases, the
X-ray spectra are described very well with this emission model. The
spectroscopically measured magnetic field strengths of these sources are in
close agreement with the values inferred from their spindown properties and
provide independent evidence for their magnetar nature. The analysis of
spectral data using this physical model also sheds light on the long-term
evolution of AXPs.
| astro-ph | anomalous xray pulsars axps belong to a class of neutron stars believed to harbor the strongest magnetic fields in the universe as indicated by their energetic bursts and their rapid spindowns we have developed a theoretical model that takes into account processes in the atmospheres and magnetospheres of ultramagnetic neutron stars as well as the effects of their strong gravitational fields on the observable properties using this model we have analyzed the xray spectra of a number of axps we find that in all cases the xray spectra are described very well with this emission model the spectroscopically measured magnetic field strengths of these sources are in close agreement with the values inferred from their spindown properties and provide independent evidence for their magnetar nature the analysis of spectral data using this physical model also sheds light on the longterm evolution of axps | [['anomalous', 'xray', 'pulsars', 'axps', 'belong', 'to', 'a', 'class', 'of', 'neutron', 'stars', 'believed', 'to', 'harbor', 'the', 'strongest', 'magnetic', 'fields', 'in', 'the', 'universe', 'as', 'indicated', 'by', 'their', 'energetic', 'bursts', 'and', 'their', 'rapid', 'spindowns', 'we', 'have', 'developed', 'a', 'theoretical', 'model', 'that', 'takes', 'into', 'account', 'processes', 'in', 'the', 'atmospheres', 'and', 'magnetospheres', 'of', 'ultramagnetic', 'neutron', 'stars', 'as', 'well', 'as', 'the', 'effects', 'of', 'their', 'strong', 'gravitational', 'fields', 'on', 'the', 'observable', 'properties', 'using', 'this', 'model', 'we', 'have', 'analyzed', 'the', 'xray', 'spectra', 'of', 'a', 'number', 'of', 'axps', 'we', 'find', 'that', 'in', 'all', 'cases', 'the', 'xray', 'spectra', 'are', 'described', 'very', 'well', 'with', 'this', 'emission', 'model', 'the', 'spectroscopically', 'measured', 'magnetic', 'field', 'strengths', 'of', 'these', 'sources', 'are', 'in', 'close', 'agreement', 'with', 'the', 'values', 'inferred', 'from', 'their', 'spindown', 'properties', 'and', 'provide', 'independent', 'evidence', 'for', 'their', 'magnetar', 'nature', 'the', 'analysis', 'of', 'spectral', 'data', 'using', 'this', 'physical', 'model', 'also', 'sheds', 'light', 'on', 'the', 'longterm', 'evolution', 'of', 'axps']] | [-0.07446957655394307, 0.16982364590064838, -0.06312220168651661, 0.16268804388111002, -0.09473771850376592, -0.04172256568257886, 0.06772761471517436, 0.417624418838666, -0.18134715033278287, -0.3661575837620905, 0.0477261412090954, -0.29452179337141815, -0.07936960648113563, 0.2793245085195957, 0.018828607822110602, -0.018394451103905068, 0.0482540935427732, -0.004011395877232072, -0.02515629777632706, -0.20816772288343238, 0.3013591256165239, 0.0520535960363654, 0.19289395777130877, -0.007891143012752795, 0.04810506519063708, -0.06018989907017538, -0.03166426428417851, 0.0018410296725687022, -0.1019154958777216, 0.054058668324951785, 0.19707143893856163, 0.11079885594263288, 0.15385254940109236, -0.4223127539132859, -0.27798226706918094, 0.08096286372562066, 0.13403577798850497, 0.025786319545672072, -0.06840705291459245, -0.27303845755808004, 0.06389916103522104, -0.17790783100950341, -0.1569108566158562, -0.05776561725024994, 0.027822062387000898, 0.09397242486581102, -0.19398547983500403, 0.09096102018566261, 0.06322036767655241, 0.05751226498530461, -0.1763010673075133, -0.10354162611953029, -0.015035068619527392, 0.10245342586528171, 0.1306995843916519, -0.0067416174903876715, 0.11017330567078938, -0.1547209338555308, -0.12603612100197512, 0.40110079787827874, -0.06266162929066516, -0.03290913514532409, 0.21093739553393756, -0.22517587532048355, -0.19100341266281642, 0.13083788170804875, 0.16948995067757536, 0.13544676736179556, -0.1631211929733155, 0.023900921452089156, -0.02680281158927437, 0.14354925638494584, -0.010084355699380378, 0.11653594923700439, 0.34113213420239885, 0.13570878674093817, -0.09360534372215218, 0.13387093864873026, -0.17570691902542135, -0.018489073743796224, -0.2521341987413361, -0.06920057403614054, -0.13145724734229564, 0.09903655797194273, -0.08658729363983853, -0.1760760345492167, 0.3829122511621148, 0.1345692452147499, 0.19558166649348876, 0.009031612191583726, 0.2634378553895684, 0.12271943752787408, 0.07859748873332112, 0.11819492822343652, 0.343540442104523, 0.224808776824429, 0.12189268349841648, -0.24131905664754966, 0.11286575188925424, -0.01749329395279601] |
712.001 | Probing the chiral limit with clover fermions II: The baryon sector | Algorithmic progress in recent years made it possible to simulate QCD with
Nf=2 flavours of O(a)-improved Wilson fermions at very light quark masses. We
present the current results for baryon spectrum states, the nucleon axial
coupling and the lowest moment of unpolarised nucleon structure functions.
Special emphasis is given to a comparison of our calculations with results from
chiral effective theories.
| hep-lat | algorithmic progress in recent years made it possible to simulate qcd with nf2 flavours of oaimproved wilson fermions at very light quark masses we present the current results for baryon spectrum states the nucleon axial coupling and the lowest moment of unpolarised nucleon structure functions special emphasis is given to a comparison of our calculations with results from chiral effective theories | [['algorithmic', 'progress', 'in', 'recent', 'years', 'made', 'it', 'possible', 'to', 'simulate', 'qcd', 'with', 'nf2', 'flavours', 'of', 'oaimproved', 'wilson', 'fermions', 'at', 'very', 'light', 'quark', 'masses', 'we', 'present', 'the', 'current', 'results', 'for', 'baryon', 'spectrum', 'states', 'the', 'nucleon', 'axial', 'coupling', 'and', 'the', 'lowest', 'moment', 'of', 'unpolarised', 'nucleon', 'structure', 'functions', 'special', 'emphasis', 'is', 'given', 'to', 'a', 'comparison', 'of', 'our', 'calculations', 'with', 'results', 'from', 'chiral', 'effective', 'theories']] | [-0.08885311288759112, 0.25593987353085007, -0.07592622308274273, 0.07757064823221538, -0.0534509791397169, -0.07326079614185652, 0.08393715274783584, 0.40124262625076734, -0.07423319911859075, -0.253806909622594, 0.005645089811401167, -0.33127924076617377, -0.038211257490863806, 0.10227267123896201, 0.07827446076896835, 0.12427952135226032, 0.11234746540163751, 0.013637267343211369, -0.12106679328125672, -0.2538105384026822, 0.35612757649791776, 0.021156370937518897, 0.23186099923170003, 0.19858814350741563, 0.04570775774124338, -0.0025853332634022856, -0.05488228818523835, -0.06509062230823653, -0.09141858661028206, 0.11600873115010651, 0.18959839556072305, -0.0175222183699857, 0.09036758090522079, -0.4267782920391345, -0.17543045757720094, 0.046032329486896756, 0.1154890092868419, 0.18367438539709957, -0.05717206897488872, -0.2784451859713089, 0.04266732471773676, -0.21202422220443115, -0.23750497567177306, -0.15302412948746721, -0.004568131987890992, -0.057955752355886285, -0.3087225147479092, 0.03383990344982671, -0.1214184626845307, 0.07846082125866279, -0.007340014950357011, -0.2804792212765114, -0.02538750686713296, 0.07111280729810966, 0.15071942309513078, 0.1521418683734707, 0.10029091036374696, -0.2203597894060563, -0.17131125363597616, 0.43987588085173096, -0.07190489523555534, -0.15542616654324848, 0.12060748521604987, -0.19324707606288252, -0.20340732117870547, 0.08216913605572133, 0.16859347121332025, 0.10287001755729806, -0.15386061425431494, 0.10262276820712493, -0.09088126139440497, 0.1824336853469951, 0.07533935965878553, 0.04578405265223052, 0.27104110710444995, 0.19673822862935847, -0.044395280017166354, 0.052169279370945495, -0.006868807957736684, -0.1191079504034085, -0.3217890043666617, -0.019413169091720073, -0.15172370491915796, 0.08459755525252492, -0.09265122847363437, -0.10876860818443973, 0.4382919478306516, 0.13986800635447266, 0.1902979816401713, 0.026342539887753178, 0.3042604242924784, 0.08411301215385376, 0.09689424257175844, 0.05764348549218696, 0.2752218516925197, 0.2864215935076602, 0.1433560173408907, -0.3033959000394298, -0.13869399498560328, 0.11414319767662492] |
712.0011 | Complexity of hierarchical ensembles | Within the framework of generalized combinatorial approach, complexity is
determined as a disorder measure for hierarchical statistical ensembles related
to Cayley trees possessing arbitrary branching and number of levels. With
strengthening hierarchical coupling, the complexity is shown to increase
monotonically to the limit value that grows with tree branching. In contrast to
the temperature dependence of thermodynamic entropy, the complexity is reduced
by the variance of hierarchical statistical ensemble if the branching exponent
does not exceed the gold mean. Time dependencies are found for both the
probability distribution over ensemble states and the related complexity. The
latter is found explicitly for self-similar ensemble and generalized for
arbitrary hierarchical trees.
| cond-mat.stat-mech | within the framework of generalized combinatorial approach complexity is determined as a disorder measure for hierarchical statistical ensembles related to cayley trees possessing arbitrary branching and number of levels with strengthening hierarchical coupling the complexity is shown to increase monotonically to the limit value that grows with tree branching in contrast to the temperature dependence of thermodynamic entropy the complexity is reduced by the variance of hierarchical statistical ensemble if the branching exponent does not exceed the gold mean time dependencies are found for both the probability distribution over ensemble states and the related complexity the latter is found explicitly for selfsimilar ensemble and generalized for arbitrary hierarchical trees | [['within', 'the', 'framework', 'of', 'generalized', 'combinatorial', 'approach', 'complexity', 'is', 'determined', 'as', 'a', 'disorder', 'measure', 'for', 'hierarchical', 'statistical', 'ensembles', 'related', 'to', 'cayley', 'trees', 'possessing', 'arbitrary', 'branching', 'and', 'number', 'of', 'levels', 'with', 'strengthening', 'hierarchical', 'coupling', 'the', 'complexity', 'is', 'shown', 'to', 'increase', 'monotonically', 'to', 'the', 'limit', 'value', 'that', 'grows', 'with', 'tree', 'branching', 'in', 'contrast', 'to', 'the', 'temperature', 'dependence', 'of', 'thermodynamic', 'entropy', 'the', 'complexity', 'is', 'reduced', 'by', 'the', 'variance', 'of', 'hierarchical', 'statistical', 'ensemble', 'if', 'the', 'branching', 'exponent', 'does', 'not', 'exceed', 'the', 'gold', 'mean', 'time', 'dependencies', 'are', 'found', 'for', 'both', 'the', 'probability', 'distribution', 'over', 'ensemble', 'states', 'and', 'the', 'related', 'complexity', 'the', 'latter', 'is', 'found', 'explicitly', 'for', 'selfsimilar', 'ensemble', 'and', 'generalized', 'for', 'arbitrary', 'hierarchical', 'trees']] | [-0.0697437747399784, 0.1933816697345961, -0.06524608537144617, 0.09697686513424467, -0.03083382295113518, -0.10057405749370062, 0.08720739599885505, 0.33082627108611096, -0.28551107832153727, -0.3202596371480768, 0.050980029874395816, -0.26142688722717106, -0.10770892511643128, 0.14199497245696432, -0.04195295972108773, 0.10413225963626296, 0.0333134545731025, 0.09228104354232686, -0.048978396408287106, -0.24952178563785934, 0.3013888958824474, 0.09953955988775631, 0.3590998965136092, 0.023967877473605268, 0.09347837813489071, 0.014111292412837779, 0.00012365682905010128, 0.08940020149654854, -0.12183071400388411, 0.08493689237933588, 0.21891543000868155, 0.11688218393935523, 0.22728235224996685, -0.31943145975333836, -0.20364196659193948, 0.1754531927765646, 0.17533557599307883, 0.08585223283003503, 0.044498637932728666, -0.22631496420010513, 0.08924474802996041, -0.16111268454504737, -0.12519891792801507, -0.06918041518282726, 0.05337193527968105, 0.02298430329906421, -0.28122334440779195, 0.12209076546730661, 0.06931744621417255, 0.02562172699147203, -0.015496029697973793, -0.15751970397017964, -0.02437601188932537, 0.09793272668735013, 0.013762161594926627, 0.001151372871891416, 0.1481985019161067, -0.08257004380260312, -0.14214654513389094, 0.3327604082814597, -0.06841680293031242, -0.22546892079878214, 0.15916523151954107, -0.1431187030286827, -0.1785555300217361, 0.15911829719798418, 0.15949326328112992, 0.05682899735850889, -0.11645849412221701, 0.1101622458941457, -0.011495249670579893, 0.20208969700295443, 0.08092303540549078, 0.02149269322719459, 0.14528646288490896, 0.18063494756202633, 0.06872806777118133, 0.17617728167273308, -0.027747019659727812, -0.17827049247202797, -0.22427408771435603, -0.12881989295192814, -0.19770364827314102, 0.04060745589798765, -0.1814101552458559, -0.2283505065750583, 0.33314431222890495, 0.13387775841305768, 0.23103828511175212, 0.20048968806230558, 0.20985168131461385, 0.16145086933916367, 0.04355898584183647, 0.06982136036722211, 0.17407243721264012, 0.19093180583029506, 0.024733883878771522, -0.2446752404623212, 0.1410020166503932, 0.07845654697029279] |
712.0012 | The inner radius of T Tauri disks estimated from near-infrared
interferometry: the importance of scattered light | For young Herbig Ae/Be stars, near-infrared interferometric measurements have
revealed a correlation between the luminosity of the central object and the
position of the disk inner rim. This correlation breaks down for the cooler T
Tauri stars, a fact often interpreted in terms of disks with larger inner
radii. In most cases, the conversion between the observed interferometric
visibility and the calculated disk inner radius was done with a crude disk
emission model. Here, we examine how the use of models that neglect scattered
light can lead to an overestimation of the disk sizes. To do so, synthetic disk
images (and visibilities) are calculated with a full treatment of the radiative
transfer. The relative contributions of thermal emission and scattered light
are compared. We find that the latter can not be neglected for cool stars. For
further comparison, the model visibilities are also converted into inner disk
radii using the same simple disk models as found in the literature. We find
that reliable inner radii can only be estimated for Herbig Ae/Be stars with
these models. However, they lead to a systematic overestimation of the disk
size, by a factor of 2 to 3, for T Tauri stars. We suggest that including
scattered light in the models is a simple (and sufficient) explanation of the
current interferometric measurements of T Tauri stars.
| astro-ph | for young herbig aebe stars nearinfrared interferometric measurements have revealed a correlation between the luminosity of the central object and the position of the disk inner rim this correlation breaks down for the cooler t tauri stars a fact often interpreted in terms of disks with larger inner radii in most cases the conversion between the observed interferometric visibility and the calculated disk inner radius was done with a crude disk emission model here we examine how the use of models that neglect scattered light can lead to an overestimation of the disk sizes to do so synthetic disk images and visibilities are calculated with a full treatment of the radiative transfer the relative contributions of thermal emission and scattered light are compared we find that the latter can not be neglected for cool stars for further comparison the model visibilities are also converted into inner disk radii using the same simple disk models as found in the literature we find that reliable inner radii can only be estimated for herbig aebe stars with these models however they lead to a systematic overestimation of the disk size by a factor of 2 to 3 for t tauri stars we suggest that including scattered light in the models is a simple and sufficient explanation of the current interferometric measurements of t tauri stars | [['for', 'young', 'herbig', 'aebe', 'stars', 'nearinfrared', 'interferometric', 'measurements', 'have', 'revealed', 'a', 'correlation', 'between', 'the', 'luminosity', 'of', 'the', 'central', 'object', 'and', 'the', 'position', 'of', 'the', 'disk', 'inner', 'rim', 'this', 'correlation', 'breaks', 'down', 'for', 'the', 'cooler', 't', 'tauri', 'stars', 'a', 'fact', 'often', 'interpreted', 'in', 'terms', 'of', 'disks', 'with', 'larger', 'inner', 'radii', 'in', 'most', 'cases', 'the', 'conversion', 'between', 'the', 'observed', 'interferometric', 'visibility', 'and', 'the', 'calculated', 'disk', 'inner', 'radius', 'was', 'done', 'with', 'a', 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712.0013 | Coulomb interactions within Halo Effective Field Theory | I present preliminary results of effective field theory applied to nuclear
cluster systems, where Coulomb interactions play a significant role.
| nucl-th | i present preliminary results of effective field theory applied to nuclear cluster systems where coulomb interactions play a significant role | [['i', 'present', 'preliminary', 'results', 'of', 'effective', 'field', 'theory', 'applied', 'to', 'nuclear', 'cluster', 'systems', 'where', 'coulomb', 'interactions', 'play', 'a', 'significant', 'role']] | [-0.12603599880822003, 0.11008164768572896, -0.12139934759179596, 0.11664870148524642, -0.008420367795042693, -0.12368736274074763, 0.0015683908539358526, 0.34009806318208574, -0.17905597984790803, -0.31690156999975444, -0.008026735042221844, -0.23989010639488698, -0.21800592690706252, 0.1432254735380411, 0.06085783722810447, -0.06663788761943579, 0.12504845894873143, 0.016015224158763885, 0.000364040769636631, -0.2476654639467597, 0.35520836582873017, 0.10317027145065367, 0.2172497205901891, 0.14179533440619707, 0.03937921551987529, 0.11864953991025687, -0.013597330031916498, 0.10075997421517968, -0.11770509597845376, 0.1167756556533277, 0.3151975767686963, -0.012650472857058049, 0.3022374807856977, -0.5172637570649385, -0.19701746264472603, 0.07158436076715588, 0.2016318359412253, 0.15812125424854456, -0.24333309731446207, -0.23784909658133985, -0.003526396118104458, -0.23985553556121886, -0.15482727196067572, -0.10864238850772381, 0.08424053926137276, 0.031365673942491415, -0.2933551833033562, 0.13468595137092051, 0.07241639383137226, 0.11965134013444186, -0.09734100317582488, -0.21875918917357923, 0.10687911473214626, 0.2062689626356587, 0.0010700841434299947, 0.1600579387973994, 0.2426649066619575, -0.1969713032245636, -0.08642199211753905, 0.4118973850272596, -0.05794875575229526, -0.1053733651060611, 0.1806331422412768, -0.07309972625225783, -0.20839986968785523, 0.07631173031404614, 0.25796049158088863, 0.074120957381092, -0.1132046562153846, 0.09499833339359612, 0.03470029393211007, 0.1711738016223535, -0.11669714781455695, 0.06383392279967666, 0.22500554616563023, 0.15688497526571155, -0.001391254086047411, 0.07523189183557406, -0.07656768285669387, -0.19498338615521787, -0.33831129390746356, -0.05470280712470412, -0.06187233428936452, 0.021838530294189695, -0.07553426958620549, -0.11019647985231132, 0.31984303879580694, 0.19409193396568297, 0.11168302918085829, -0.14286096073919907, 0.1639652855694294, 0.10963095668703318, 0.09638306647539138, -0.027593559655360877, 0.330780028924346, 0.24120247419923543, 0.09586127027869225, -0.2882896970026195, -0.0761889838380739, 0.05509656354552135] |
712.0014 | Entanglement Mechanisms in One-Dimensional Potential Scattering | When two non-relativistic particles scatter in one dimension, they can become
entangled. This entanglement process is constrained by the symmetries of the
scattering system and the boundary conditions on the incoming state. Applying
these constraints, three different mechanisms of entanglement can be
identified: the superposition of reflected and transmitted modes, momentum
correlations of the reflected mode due to inversion of the relative momentum,
and momentum correlations in the transmitted and reflected modes due to
dependence of the scattering amplitude on the relative momentum. We consider
three standard potentials, the hard core, Dirac delta, and double Dirac delta,
and show that the relative importance of these mechanisms depends on the
interaction and on the properties of the incoming wave function. We find that
even when the momenta distributions of the incoming articles are sharply
peaked, entanglement due to the momentum correlations generated by reflection
can be quite large for particles with unequal mass.
| quant-ph | when two nonrelativistic particles scatter in one dimension they can become entangled this entanglement process is constrained by the symmetries of the scattering system and the boundary conditions on the incoming state applying these constraints three different mechanisms of entanglement can be identified the superposition of reflected and transmitted modes momentum correlations of the reflected mode due to inversion of the relative momentum and momentum correlations in the transmitted and reflected modes due to dependence of the scattering amplitude on the relative momentum we consider three standard potentials the hard core dirac delta and double dirac delta and show that the relative importance of these mechanisms depends on the interaction and on the properties of the incoming wave function we find that even when the momenta distributions of the incoming articles are sharply peaked entanglement due to the momentum correlations generated by reflection can be quite large for particles with unequal mass | [['when', 'two', 'nonrelativistic', 'particles', 'scatter', 'in', 'one', 'dimension', 'they', 'can', 'become', 'entangled', 'this', 'entanglement', 'process', 'is', 'constrained', 'by', 'the', 'symmetries', 'of', 'the', 'scattering', 'system', 'and', 'the', 'boundary', 'conditions', 'on', 'the', 'incoming', 'state', 'applying', 'these', 'constraints', 'three', 'different', 'mechanisms', 'of', 'entanglement', 'can', 'be', 'identified', 'the', 'superposition', 'of', 'reflected', 'and', 'transmitted', 'modes', 'momentum', 'correlations', 'of', 'the', 'reflected', 'mode', 'due', 'to', 'inversion', 'of', 'the', 'relative', 'momentum', 'and', 'momentum', 'correlations', 'in', 'the', 'transmitted', 'and', 'reflected', 'modes', 'due', 'to', 'dependence', 'of', 'the', 'scattering', 'amplitude', 'on', 'the', 'relative', 'momentum', 'we', 'consider', 'three', 'standard', 'potentials', 'the', 'hard', 'core', 'dirac', 'delta', 'and', 'double', 'dirac', 'delta', 'and', 'show', 'that', 'the', 'relative', 'importance', 'of', 'these', 'mechanisms', 'depends', 'on', 'the', 'interaction', 'and', 'on', 'the', 'properties', 'of', 'the', 'incoming', 'wave', 'function', 'we', 'find', 'that', 'even', 'when', 'the', 'momenta', 'distributions', 'of', 'the', 'incoming', 'articles', 'are', 'sharply', 'peaked', 'entanglement', 'due', 'to', 'the', 'momentum', 'correlations', 'generated', 'by', 'reflection', 'can', 'be', 'quite', 'large', 'for', 'particles', 'with', 'unequal', 'mass']] | [-0.15844051398974107, 0.2617421890976594, -0.08711117264618606, 0.09410150280407499, -0.02474717166133862, -0.11355043672588899, 0.010537225072958359, 0.352213710521985, -0.2989788640315007, -0.2983695826321644, 0.03795191469620668, -0.3180793204320301, -0.06278185747674127, 0.1613696707339075, 0.017188194195592876, 0.043895615088618604, 0.050993369016061094, 0.01645343576551807, -0.06803901949024294, -0.19512306145043112, 0.3913803883570884, 0.0194222653640042, 0.3006686270175698, 0.07990393663241871, 0.08652224906989814, 0.07015008822628788, -0.02076003323676751, 0.0004281693009512597, -0.06537030633329491, 0.07518695758986532, 0.17382879328866502, 0.04913170523727067, 0.1773916709981246, -0.41416627748281154, -0.17035015372216308, 0.09355004141903728, 0.16763980472483367, 0.10351841201956727, -0.016150868451835488, -0.2787201899643007, -0.010301511429899716, -0.13468110856391782, -0.14358631941094677, -0.03774044029169569, 0.021345940020278488, 0.03901078585706847, -0.23735815908539257, 0.1272863500696411, 0.053506863182806945, -0.02513541600446364, -0.048000788061855065, -0.0956989049346272, -0.11677405420433436, 0.09424499197254925, 0.10360895926312783, -0.02193033035329886, 0.11851050485979374, -0.15423508199225916, -0.08770336259514902, 0.38661025368645296, -0.021594870490892055, -0.2370568189806746, 0.19214512109388843, -0.1993517724576553, -0.039128831217040944, 0.1523266855970417, 0.1916118160475698, 0.10630011658098451, -0.10945650159881457, 0.04756182397594737, 0.01861566510505279, 0.16513500429420291, 0.10454774662349864, 0.10077255930580002, 0.23922000417951494, 0.05568488852709139, 0.0398833513578498, 0.12814160307569086, -0.13577951366038943, -0.10118381356158734, -0.299385637663746, -0.12547688320965358, -0.2048215523374031, 0.041014820064159914, -0.08174483452000315, -0.09635282752079595, 0.4183229298428877, 0.12119912223486033, 0.22023996670491455, -0.0032520120730623603, 0.2899215265275224, 0.1893873561394254, 0.07913726835192249, 0.07673160232585169, 0.2905270246433486, 0.14629092641131902, 0.08402809754050777, -0.2817776114220339, 0.05424963495093643, -0.010060490419977884] |
712.0015 | Phase transitions of bipartite entanglement | We study a random matrix model for the statistical properties of the purity
of a bipartite quantum system at a finite (fictitious) temperature. This
enables us to write the generating function for the cumulants, for both
balanced and unbalanced bipartitions. It also unveils an unexpected feature of
the system, namely the existence of two phase transitions, characterized by
different spectra of the density matrices. One of the critical phases is
described by the statistical mechanics of random surfaces, the other is a
second-order phase transition.
| quant-ph cond-mat.stat-mech hep-th | we study a random matrix model for the statistical properties of the purity of a bipartite quantum system at a finite fictitious temperature this enables us to write the generating function for the cumulants for both balanced and unbalanced bipartitions it also unveils an unexpected feature of the system namely the existence of two phase transitions characterized by different spectra of the density matrices one of the critical phases is described by the statistical mechanics of random surfaces the other is a secondorder phase transition | [['we', 'study', 'a', 'random', 'matrix', 'model', 'for', 'the', 'statistical', 'properties', 'of', 'the', 'purity', 'of', 'a', 'bipartite', 'quantum', 'system', 'at', 'a', 'finite', 'fictitious', 'temperature', 'this', 'enables', 'us', 'to', 'write', 'the', 'generating', 'function', 'for', 'the', 'cumulants', 'for', 'both', 'balanced', 'and', 'unbalanced', 'bipartitions', 'it', 'also', 'unveils', 'an', 'unexpected', 'feature', 'of', 'the', 'system', 'namely', 'the', 'existence', 'of', 'two', 'phase', 'transitions', 'characterized', 'by', 'different', 'spectra', 'of', 'the', 'density', 'matrices', 'one', 'of', 'the', 'critical', 'phases', 'is', 'described', 'by', 'the', 'statistical', 'mechanics', 'of', 'random', 'surfaces', 'the', 'other', 'is', 'a', 'secondorder', 'phase', 'transition']] | [-0.15918780173010685, 0.1917391273208469, -0.1204374286948758, 0.047526225794161506, 0.03430507375913508, -0.12772587664863644, 0.059566529944319935, 0.30220371892757936, -0.2652848418254186, -0.2652477013768957, 0.0569414631682722, -0.30539916048155114, -0.1494298343491905, 0.1529447283677976, 0.006795483356451287, 0.08537095021730398, -0.013131388967089793, 0.03712440132546951, -0.1292070950559505, -0.20047549695214806, 0.3518641399877036, 0.01423775416401708, 0.30114798565559525, 0.030265289653406774, 0.11492854645475745, 0.02240499379661153, 0.019460351639153325, 0.041059625455561806, -0.10226411199306741, 0.07316730365102343, 0.22634135015747125, 0.09718407924999209, 0.21888376877588384, -0.3602597217349445, -0.21314321190995328, 0.1246816395480624, 0.06295014380970422, 0.12301659322179416, -0.02208500674323124, -0.2590321127215729, 0.049267059652244344, -0.16145040420267512, -0.15114164370495606, -0.09677677295061157, 0.00027934751089881446, 0.012510851241976899, -0.26622358286643727, 0.08419417738606332, 0.09958366363254541, 0.06310518517925898, -0.013455623678643914, -0.0816650123006719, -0.007497669772847611, 0.14485867628005936, -0.03841198795228539, -0.03374707119484596, 0.08948609735268881, -0.14340657661668957, -0.10889876237248673, 0.3797177726512446, -0.03925066579900244, -0.17079862545737448, 0.17466772172791772, -0.14066731818859218, -0.14043995390700945, 0.1416468352462877, 0.13498656115878155, 0.10786295501953538, -0.15542902843478848, 0.04149611984484021, -0.018797342464163463, 0.16223143206580598, 0.022857304865165667, 0.03447522377485738, 0.21844085822265377, 0.1321146853487281, 0.07357606575550402, 0.2236442579401602, -0.05901434385792955, -0.13769898766870883, -0.28989316025639283, -0.18711802223149468, -0.23402105317834546, 0.04128641788573826, -0.13997157057730125, -0.22175952418816877, 0.47513767099555804, 0.11953094969092704, 0.21068388773676228, 0.02644478787174996, 0.24408166909809498, 0.1542662003899322, 0.0035192671615411255, 0.00917665288400124, 0.1925279909854426, 0.1914704335278229, 0.08023226988666197, -0.24402252054115867, 0.06952719973290668, 0.08891500050804632] |
712.0016 | Light Higgses and Dark Matter at Bottom and Charm Factories | Neither Dark Matter nor scalar particles in the Higgs sector are ruled out at
energies accessible to bottom and charm factories. In Dark Matter searches, the
error on the mass of Dark Matter is $\sim 4$ GeV in the best LHC studies. For
light Dark Matter this could represent a 100% (or more) error. In Higgs
searches, the presence of a light singlet Higgs can make the LHC Higgs search
difficult, if not impossible. If Dark Matter or a Higgs scalar is light, it
will {\it require} a low-energy machine to precisely determine the couplings.
We review the models, modes of discovery and rate expectations for these new
particle searches at bottom and charm factories. We also discuss the options
for new runs at bottom and charm factories relevant for these searches.
| hep-ph hep-ex | neither dark matter nor scalar particles in the higgs sector are ruled out at energies accessible to bottom and charm factories in dark matter searches the error on the mass of dark matter is sim 4 gev in the best lhc studies for light dark matter this could represent a 100 or more error in higgs searches the presence of a light singlet higgs can make the lhc higgs search difficult if not impossible if dark matter or a higgs scalar is light it will it require a lowenergy machine to precisely determine the couplings we review the models modes of discovery and rate expectations for these new particle searches at bottom and charm factories we also discuss the options for new runs at bottom and charm factories relevant for these searches | [['neither', 'dark', 'matter', 'nor', 'scalar', 'particles', 'in', 'the', 'higgs', 'sector', 'are', 'ruled', 'out', 'at', 'energies', 'accessible', 'to', 'bottom', 'and', 'charm', 'factories', 'in', 'dark', 'matter', 'searches', 'the', 'error', 'on', 'the', 'mass', 'of', 'dark', 'matter', 'is', 'sim', '4', 'gev', 'in', 'the', 'best', 'lhc', 'studies', 'for', 'light', 'dark', 'matter', 'this', 'could', 'represent', 'a', '100', 'or', 'more', 'error', 'in', 'higgs', 'searches', 'the', 'presence', 'of', 'a', 'light', 'singlet', 'higgs', 'can', 'make', 'the', 'lhc', 'higgs', 'search', 'difficult', 'if', 'not', 'impossible', 'if', 'dark', 'matter', 'or', 'a', 'higgs', 'scalar', 'is', 'light', 'it', 'will', 'it', 'require', 'a', 'lowenergy', 'machine', 'to', 'precisely', 'determine', 'the', 'couplings', 'we', 'review', 'the', 'models', 'modes', 'of', 'discovery', 'and', 'rate', 'expectations', 'for', 'these', 'new', 'particle', 'searches', 'at', 'bottom', 'and', 'charm', 'factories', 'we', 'also', 'discuss', 'the', 'options', 'for', 'new', 'runs', 'at', 'bottom', 'and', 'charm', 'factories', 'relevant', 'for', 'these', 'searches']] | [-0.07600041649526577, 0.2863503143360669, -0.10244755766171058, 0.2270500969016487, -0.13603546080941503, -0.22155950927867019, 0.053982569709081545, 0.3181050799109719, -0.19827359556361582, -0.3313017592793613, 0.04474430607815245, -0.31265555672827317, 0.02903851178813387, 0.17746672231905078, 0.0759776651181958, 0.06756711953009169, 0.08016902367693768, 0.019944851179113328, -0.013329757088230866, -0.2996605837922261, 0.2605108792230374, 0.037467997380052555, 0.13588018485990522, 0.14798266433574486, 0.019268781518224965, 0.006324189866780106, -0.05000019736348115, -0.14651947297776738, -0.1425321105387852, 0.06250113118651578, 0.19601425197748595, 0.09660451951552232, 0.1465330693507426, -0.35836001283799607, -0.13606849185078207, 0.25233330281447375, 0.17435437468741316, 0.11334153294041188, -0.1132078320278555, -0.3214949789513467, 0.10527267350610628, -0.18684454674296308, -0.1297525203359934, -0.07505546309138564, -0.04711693827994168, -0.10470683490293044, -0.2818495869939921, 0.06678010000486569, -0.11169120003328178, -0.029505808477882634, 0.0073144799486423535, -0.19325558743862944, -0.05433282126658455, -0.05739337252100196, 0.1324315274409442, 0.015822040798825168, 0.23152035607243748, -0.284310669121403, -0.16144587875830688, 0.41326833256012335, -0.11368090298492461, -0.15971404001836412, 0.21380521550555853, -0.18035813077409385, -0.16216615698596631, 0.11446640275023652, 0.2361936682895193, 0.05554812249487661, -0.17993336987935685, 0.16105633022115481, -0.021791533921548926, 0.18747757723780745, 0.05354935679739962, 0.06542010731628221, 0.38101509203569905, 0.22545698002178335, 0.06835336782475651, -0.02675079664384777, -0.10124104989121076, -0.02828463720806846, -0.4426190267091222, -0.16349124551440278, -0.0701806866987185, 0.009092410597297589, -0.010669549439846764, -0.06492053978427341, 0.38715305407425726, 0.10496334282497903, 0.1813938076339775, -0.007407587457264802, 0.3136837417683141, 0.02788363906173882, 0.06828483237856717, 0.10035057695384955, 0.38923825647427956, 0.11797789445457359, 0.16375982069593825, -0.16556833934560983, -0.019001578407672543, -0.013762828936292366] |
712.0017 | An analytic model for the bispectrum of galaxies in redshift space | We develop an analytic theory for the redshift space bispectrum of dark
matter, haloes and galaxies. This is done within the context of the halo model
of structure formation, as this allows for the self-consistent inclusion of
linear and non-linear redshift space distortions and also for the non-linearity
of the halo bias. The model is applicable over a wide range of scales: on the
largest scales the predictions reduce to those of the standard perturbation
theory (PT); on smaller scales they are determined primarily by the nonlinear
virial velocities of galaxies within haloes, and this gives rise to the
U-shaped anisotropy in the reduced bispectrum -- a finger print of the
Finger-Of-God distortions. We then confront the predictions with bispectrum
measurements from an ensemble of numerical simulations. On very large scales,
k=0.05 h/Mpc, we find reasonably good agreement between our Halo Model, PT and
the data, to within the errors. On smaller scales, k=0.1 h/Mpc, the measured
bispectra differ from the PT at the level of 10-20%, especially for colinear
triangle configurations. The Halo Model predictions improve over PT, but are
accurate to no better than 10%. On smaller scales k=0.5-1.0 h/Mpc, our model
provides a significant improvement over PT, which breaks down. This implies
that studies which use the lowest order PT to extract galaxy bias information
are not robust on scales k>0.1 h/Mpc. The analytic and simulation results also
indicate that there is no observable scale for which the configuration
dependence of the reduced bispectrum is constant--hierarchical models for the
higher order correlation functions in redshift space are unlikely to be useful.
It is hoped that our model will facilitate extraction of information from
large-scale structure surveys of the Universe.
| astro-ph | we develop an analytic theory for the redshift space bispectrum of dark matter haloes and galaxies this is done within the context of the halo model of structure formation as this allows for the selfconsistent inclusion of linear and nonlinear redshift space distortions and also for the nonlinearity of the halo bias the model is applicable over a wide range of scales on the largest scales the predictions reduce to those of the standard perturbation theory pt on smaller scales they are determined primarily by the nonlinear virial velocities of galaxies within haloes and this gives rise to the ushaped anisotropy in the reduced bispectrum a finger print of the fingerofgod distortions we then confront the predictions with bispectrum measurements from an ensemble of numerical simulations on very large scales k005 hmpc we find reasonably good agreement between our halo model pt and the data to within the errors on smaller scales k01 hmpc the measured bispectra differ from the pt at the level of 1020 especially for colinear triangle configurations the halo model predictions improve over pt but are accurate to no better than 10 on smaller scales k0510 hmpc our model provides a significant improvement over pt which breaks down this implies that studies which use the lowest order pt to extract galaxy bias information are not robust on scales k01 hmpc the analytic and simulation results also indicate that there is no observable scale for which the configuration dependence of the reduced bispectrum is constanthierarchical models for the higher order correlation functions in redshift space are unlikely to be useful it is hoped that our model will facilitate extraction of information from largescale structure surveys of the universe | [['we', 'develop', 'an', 'analytic', 'theory', 'for', 'the', 'redshift', 'space', 'bispectrum', 'of', 'dark', 'matter', 'haloes', 'and', 'galaxies', 'this', 'is', 'done', 'within', 'the', 'context', 'of', 'the', 'halo', 'model', 'of', 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712.0018 | On observability of the free core nutation | Neither astronomical technique, including VLBI, can measure nutation
directly. Estimates of parameters of the nutation model are produced by solving
the LSQ problem of adjusting millions parameters using estimates of group
delay. The choice of the mathematical model for nutation used in the estimation
process of analysis of group delays affects our ability to interpret the
results. Ignoring these subtleties and using parameters of the nutation model
either in the form of time series, or in the form of empirical expansion as
"VLBI measurement of nutation", opens a room for misinterpretation and
mistakes. Detailed analysis of the problem reveals that the separation of
forced nutations, atmospheric nutations, ocean nutations, and the retrograde
free core nutation requires invoking some hypotheses, and beyond a specific
level becomes uncertain. This sets a limit of our ability to make an inference
about the free core nutation.
| physics.geo-ph | neither astronomical technique including vlbi can measure nutation directly estimates of parameters of the nutation model are produced by solving the lsq problem of adjusting millions parameters using estimates of group delay the choice of the mathematical model for nutation used in the estimation process of analysis of group delays affects our ability to interpret the results ignoring these subtleties and using parameters of the nutation model either in the form of time series or in the form of empirical expansion as vlbi measurement of nutation opens a room for misinterpretation and mistakes detailed analysis of the problem reveals that the separation of forced nutations atmospheric nutations ocean nutations and the retrograde free core nutation requires invoking some hypotheses and beyond a specific level becomes uncertain this sets a limit of our ability to make an inference about the free core nutation | [['neither', 'astronomical', 'technique', 'including', 'vlbi', 'can', 'measure', 'nutation', 'directly', 'estimates', 'of', 'parameters', 'of', 'the', 'nutation', 'model', 'are', 'produced', 'by', 'solving', 'the', 'lsq', 'problem', 'of', 'adjusting', 'millions', 'parameters', 'using', 'estimates', 'of', 'group', 'delay', 'the', 'choice', 'of', 'the', 'mathematical', 'model', 'for', 'nutation', 'used', 'in', 'the', 'estimation', 'process', 'of', 'analysis', 'of', 'group', 'delays', 'affects', 'our', 'ability', 'to', 'interpret', 'the', 'results', 'ignoring', 'these', 'subtleties', 'and', 'using', 'parameters', 'of', 'the', 'nutation', 'model', 'either', 'in', 'the', 'form', 'of', 'time', 'series', 'or', 'in', 'the', 'form', 'of', 'empirical', 'expansion', 'as', 'vlbi', 'measurement', 'of', 'nutation', 'opens', 'a', 'room', 'for', 'misinterpretation', 'and', 'mistakes', 'detailed', 'analysis', 'of', 'the', 'problem', 'reveals', 'that', 'the', 'separation', 'of', 'forced', 'nutations', 'atmospheric', 'nutations', 'ocean', 'nutations', 'and', 'the', 'retrograde', 'free', 'core', 'nutation', 'requires', 'invoking', 'some', 'hypotheses', 'and', 'beyond', 'a', 'specific', 'level', 'becomes', 'uncertain', 'this', 'sets', 'a', 'limit', 'of', 'our', 'ability', 'to', 'make', 'an', 'inference', 'about', 'the', 'free', 'core', 'nutation']] | [-0.11402073965906362, 0.09957358176899093, -0.07118301815025403, 0.03487134408121972, -0.13896607539065603, -0.07645877439554938, 0.08709596607729163, 0.32122360474207035, -0.29210347126067526, -0.35508233410778495, 0.12217032456275365, -0.2280308794931994, -0.10514725151088115, 0.2503452305550831, -0.05170112259974572, 0.03989726390925721, 0.11558628771257337, 0.002075177991211834, -0.07839923577127375, -0.15466431043730577, 0.27080938096886215, 0.10797301104741538, 0.2070067612992101, 0.0015875153410786263, 0.10615993072082039, -8.534833552761816e-05, -0.08571094723457706, -0.022996786147237977, -0.09563999802832743, 0.11081216297715797, 0.20770672448045036, 0.12006198264605983, 0.254765767564761, -0.42751929413159967, -0.2244177116589411, 0.05127007247630874, 0.13718951896528228, 0.13293035992119515, 0.03260679574171737, -0.28514122559597166, 0.0024677928222317093, -0.18024987227309652, -0.15332955548467614, -0.07909198456220853, 0.03604450753339055, 0.02497702719837191, -0.2629814299977791, 0.1268612557372839, 0.06338596009710004, 0.08283915729130763, -0.10372808648430755, -0.11736668084590683, 0.0018193046824718025, 0.16561956417215595, 0.07975207759468311, -0.0030729483833952975, 0.1585524414967693, -0.10203033021133079, -0.08999974232717929, 0.4070076114025859, -0.0839825089214186, -0.18802721202898193, 0.1470888970734578, -0.17574007115261236, -0.12656367552125644, 0.11937721530106706, 0.15380270673867158, 0.10375096807157962, -0.1478728781172245, 0.0215627423759786, 0.004512006282875262, 0.2008342262567349, 0.08563634320358995, -0.01584292226471007, 0.2240954591617198, 0.18654186587082222, 0.025438296562716574, 0.09576046964789832, -0.1346498714943587, -0.08468582572310533, -0.28210379714539774, -0.08351968479683806, -0.12107700004544057, 0.031819942681439395, -0.11635779807611342, -0.15700058654298296, 0.41058590990806026, 0.18684097683939732, 0.1847530013593045, 0.032653828597509524, 0.2946221029622034, 0.08432127596092293, 0.050312158691821436, 0.020829409734726374, 0.271164459754544, 0.14046111008198275, 0.06489801000226551, -0.2644710300923128, 0.1334852362641881, 0.026183178295827354] |
712.0019 | General relativistic velocity: the alternative to dark matter | We consider the gravitational collapse of a spherically symmetric ball of
dust in the general relativistic weak gravity regime. The velocity of the
matter as viewed by external observers is compared to the velocity gauged by
local observers. While the comparison in the case of very strong gravity is
seen to follow the pattern familiar from studies of test particles falling
towards a concentrated mass, the case of weak gravity is very different. The
velocity of the dust that is witnessed by external observers is derived for the
critically open case and is seen to differ markedly from the expectations based
upon Newtonian gravity theory. Viewed as an idealized model for a cluster of
galaxies, we find that with the general relativistic velocity expression, the
higher-than-expected constituent velocities observed can be readily correlated
with the solely baryonic measure of the mass, obviating the need to introduce
extraneous dark matter. Hitherto unexplained and subject-to-reinterpretation
astrophysical phenomena could also be considered within this context. It is
suggested that an attempt be made to formulate an experimental design at
smaller scales simulating or realizing a collapse with the aim of implementing
a new test of general relativity.
| astro-ph gr-qc hep-th | we consider the gravitational collapse of a spherically symmetric ball of dust in the general relativistic weak gravity regime the velocity of the matter as viewed by external observers is compared to the velocity gauged by local observers while the comparison in the case of very strong gravity is seen to follow the pattern familiar from studies of test particles falling towards a concentrated mass the case of weak gravity is very different the velocity of the dust that is witnessed by external observers is derived for the critically open case and is seen to differ markedly from the expectations based upon newtonian gravity theory viewed as an idealized model for a cluster of galaxies we find that with the general relativistic velocity expression the higherthanexpected constituent velocities observed can be readily correlated with the solely baryonic measure of the mass obviating the need to introduce extraneous dark matter hitherto unexplained and subjecttoreinterpretation astrophysical phenomena could also be considered within this context it is suggested that an attempt be made to formulate an experimental design at smaller scales simulating or realizing a collapse with the aim of implementing a new test of general relativity | [['we', 'consider', 'the', 'gravitational', 'collapse', 'of', 'a', 'spherically', 'symmetric', 'ball', 'of', 'dust', 'in', 'the', 'general', 'relativistic', 'weak', 'gravity', 'regime', 'the', 'velocity', 'of', 'the', 'matter', 'as', 'viewed', 'by', 'external', 'observers', 'is', 'compared', 'to', 'the', 'velocity', 'gauged', 'by', 'local', 'observers', 'while', 'the', 'comparison', 'in', 'the', 'case', 'of', 'very', 'strong', 'gravity', 'is', 'seen', 'to', 'follow', 'the', 'pattern', 'familiar', 'from', 'studies', 'of', 'test', 'particles', 'falling', 'towards', 'a', 'concentrated', 'mass', 'the', 'case', 'of', 'weak', 'gravity', 'is', 'very', 'different', 'the', 'velocity', 'of', 'the', 'dust', 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712.002 | The Structure of a Bernoulli Process Variation of the Fibonacci Sequence | We consider the structure of a variation of the Fibonacci sequence which is
determined by a Bernoulli process. The associated structure of all Bernoulli
variations of the Fibonacci sequence can be represented by a directed binary
tree, which we denote X, with vertex labels representing the specific state of
the recurrence variation. Since X is a binary tree, we can consider the term of
a sequence variation given by a finite traversal of X represented by a binary
code t. We then prove that the traversal of X that is the reflection of the
digits of t gives exactly the integer term corresponding to t. We consider how
to further this result with the statement of an additional conjecture. Finally,
we give connections to Fibonacci expansions, the Stern-Brocot tree, and we
apply our methods to the Three Hat Problem as seen in ``Puzzle Corner'' of the
``Technology Review'' magazine.
| math.HO | we consider the structure of a variation of the fibonacci sequence which is determined by a bernoulli process the associated structure of all bernoulli variations of the fibonacci sequence can be represented by a directed binary tree which we denote x with vertex labels representing the specific state of the recurrence variation since x is a binary tree we can consider the term of a sequence variation given by a finite traversal of x represented by a binary code t we then prove that the traversal of x that is the reflection of the digits of t gives exactly the integer term corresponding to t we consider how to further this result with the statement of an additional conjecture finally we give connections to fibonacci expansions the sternbrocot tree and we apply our methods to the three hat problem as seen in puzzle corner of the technology review magazine | [['we', 'consider', 'the', 'structure', 'of', 'a', 'variation', 'of', 'the', 'fibonacci', 'sequence', 'which', 'is', 'determined', 'by', 'a', 'bernoulli', 'process', 'the', 'associated', 'structure', 'of', 'all', 'bernoulli', 'variations', 'of', 'the', 'fibonacci', 'sequence', 'can', 'be', 'represented', 'by', 'a', 'directed', 'binary', 'tree', 'which', 'we', 'denote', 'x', 'with', 'vertex', 'labels', 'representing', 'the', 'specific', 'state', 'of', 'the', 'recurrence', 'variation', 'since', 'x', 'is', 'a', 'binary', 'tree', 'we', 'can', 'consider', 'the', 'term', 'of', 'a', 'sequence', 'variation', 'given', 'by', 'a', 'finite', 'traversal', 'of', 'x', 'represented', 'by', 'a', 'binary', 'code', 't', 'we', 'then', 'prove', 'that', 'the', 'traversal', 'of', 'x', 'that', 'is', 'the', 'reflection', 'of', 'the', 'digits', 'of', 't', 'gives', 'exactly', 'the', 'integer', 'term', 'corresponding', 'to', 't', 'we', 'consider', 'how', 'to', 'further', 'this', 'result', 'with', 'the', 'statement', 'of', 'an', 'additional', 'conjecture', 'finally', 'we', 'give', 'connections', 'to', 'fibonacci', 'expansions', 'the', 'sternbrocot', 'tree', 'and', 'we', 'apply', 'our', 'methods', 'to', 'the', 'three', 'hat', 'problem', 'as', 'seen', 'in', 'puzzle', 'corner', 'of', 'the', 'technology', 'review', 'magazine']] | [-0.1714935909281641, 0.14798774647273688, -0.07331186362960995, 0.0533730329906447, -0.07864104070069405, -0.10412066040760619, 0.09851989096527507, 0.35289907654209823, -0.36260748162065576, -0.2693094069469445, 0.10209369871237209, -0.2724732704157472, -0.16790666441501886, 0.12650485620552662, -0.07320267112844392, -0.003068484819881718, 0.07155575464485876, 0.12125671279597902, -0.07595566856118556, -0.27628929341905717, 0.3361424992748555, -0.014850761166354955, 0.15487981316064728, 0.011855227650788178, 0.14292365120998865, 0.025787731713846625, -0.025602181220189636, 0.017431789457535485, -0.13661932377287284, 0.11847802686533147, 0.20816021250410868, 0.15176470138307585, 0.23521861577275266, -0.3605565633624792, -0.17669779195250232, 0.12766554709148886, 0.12817906784854716, 0.06572930515281256, 0.0028020716319173172, -0.22639596666562553, 0.13200602767795275, -0.17554365599296687, -0.10816435041742074, -0.02001444860392769, 0.05741420004441834, 0.04216975913126797, -0.27578607285723417, 0.028005627630866014, 0.12520587063689823, 0.01984781967225991, -0.013750518612788627, -0.1347058893122004, -0.03038205972547649, 0.13224180993911555, 0.021024754860605607, 0.08303632361395596, 0.027740007963331554, -0.09366518946914565, -0.17217427704658284, 0.3748943746377458, -0.08999274064350761, -0.19544815536234497, 0.09951770822548826, -0.14234087637456871, -0.15928128551404247, 0.0888321497758863, 0.130437574955641, 0.140880837117154, -0.11109189639858677, 0.10159362329681085, -0.09743534011653805, 0.15784080550949645, 0.10102016221881913, -0.020765346165546435, 0.18257644453754762, 0.13844030850798192, 0.04682400530429195, 0.22854439956026665, -0.0805147284858285, -0.044841127157611335, -0.31045453848423527, -0.1525066423561149, -0.1969493295217633, 0.09579563300412823, -0.10639594596232078, -0.2101580918135259, 0.3847957016937685, 0.1215718028889758, 0.25283047609381226, 0.09770735784046251, 0.21124950738861256, 0.14628304850510102, 0.033566993133058685, 0.0505764075217381, 0.06856734111855094, 0.14350254826510211, 0.0528566721739285, -0.1945699860073076, 0.07236532861954414, 0.15167815181982996] |
712.0021 | Lessons about likelihood functions from nuclear physics | Least-squares data analysis is based on the assumption that the normal
(Gaussian) distribution appropriately characterizes the likelihood, that is,
the conditional probability of each measurement d, given a measured quantity y,
p(d | y). On the other hand, there is ample evidence in nuclear physics of
significant disagreements among measurements, which are inconsistent with the
normal distribution, given their stated uncertainties. In this study the
histories of 99 measurements of the lifetimes of five elementary particles are
examined to determine what can be inferred about the distribution of their
values relative to their stated uncertainties. Taken as a whole, the variations
in the data are somewhat larger than their quoted uncertainties would indicate.
These data strongly support using a Student t distribution for the likelihood
function instead of a normal. The most probable value for the order of the t
distribution is 2.6 +/- 0.9. It is shown that analyses based on long-tailed
t-distribution likelihoods gracefully cope with outlying data.
| nucl-ex | leastsquares data analysis is based on the assumption that the normal gaussian distribution appropriately characterizes the likelihood that is the conditional probability of each measurement d given a measured quantity y pd y on the other hand there is ample evidence in nuclear physics of significant disagreements among measurements which are inconsistent with the normal distribution given their stated uncertainties in this study the histories of 99 measurements of the lifetimes of five elementary particles are examined to determine what can be inferred about the distribution of their values relative to their stated uncertainties taken as a whole the variations in the data are somewhat larger than their quoted uncertainties would indicate these data strongly support using a student t distribution for the likelihood function instead of a normal the most probable value for the order of the t distribution is 26 09 it is shown that analyses based on longtailed tdistribution likelihoods gracefully cope with outlying data | [['leastsquares', 'data', 'analysis', 'is', 'based', 'on', 'the', 'assumption', 'that', 'the', 'normal', 'gaussian', 'distribution', 'appropriately', 'characterizes', 'the', 'likelihood', 'that', 'is', 'the', 'conditional', 'probability', 'of', 'each', 'measurement', 'd', 'given', 'a', 'measured', 'quantity', 'y', 'pd', 'y', 'on', 'the', 'other', 'hand', 'there', 'is', 'ample', 'evidence', 'in', 'nuclear', 'physics', 'of', 'significant', 'disagreements', 'among', 'measurements', 'which', 'are', 'inconsistent', 'with', 'the', 'normal', 'distribution', 'given', 'their', 'stated', 'uncertainties', 'in', 'this', 'study', 'the', 'histories', 'of', '99', 'measurements', 'of', 'the', 'lifetimes', 'of', 'five', 'elementary', 'particles', 'are', 'examined', 'to', 'determine', 'what', 'can', 'be', 'inferred', 'about', 'the', 'distribution', 'of', 'their', 'values', 'relative', 'to', 'their', 'stated', 'uncertainties', 'taken', 'as', 'a', 'whole', 'the', 'variations', 'in', 'the', 'data', 'are', 'somewhat', 'larger', 'than', 'their', 'quoted', 'uncertainties', 'would', 'indicate', 'these', 'data', 'strongly', 'support', 'using', 'a', 'student', 't', 'distribution', 'for', 'the', 'likelihood', 'function', 'instead', 'of', 'a', 'normal', 'the', 'most', 'probable', 'value', 'for', 'the', 'order', 'of', 'the', 't', 'distribution', 'is', '26', '09', 'it', 'is', 'shown', 'that', 'analyses', 'based', 'on', 'longtailed', 'tdistribution', 'likelihoods', 'gracefully', 'cope', 'with', 'outlying', 'data']] | [-0.08593391836252465, 0.11921607888940297, -0.12178687969535071, 0.13223876006889476, -0.056163136369867035, -0.11746528154663459, 0.06302917636989887, 0.3698152503399532, -0.22854860346024572, -0.3469927263905919, 0.101432124636861, -0.31979077725517974, -0.04066833445862749, 0.1725708280698856, -0.07752161432953575, 0.051251360788573716, 0.06986279806853095, 0.06221971744553575, -0.09192106158832158, -0.25427888900843226, 0.30932334432661346, 0.05423037216798225, 0.28663607312460676, -0.014193372909625097, 0.052308336162609576, 0.001603071172603795, -0.09781983906780428, 0.017750408868835884, -0.11590801405382771, 0.11876733340853471, 0.2315480536221279, 0.16269982290524942, 0.25520350272130643, -0.3404628315209588, -0.18182783219904367, 0.13738911700093473, 0.10912620459235262, 0.03701465257187079, -0.0007383428813146922, -0.25704151110670564, 0.07258423210985228, -0.1320732140020597, -0.11504773574857678, -0.020712299351993053, 0.04612524221250434, 0.04573456176020252, -0.2897158328538077, 0.11926706671078183, 0.03951093838190037, 0.0627162812242308, -0.04397723135167049, -0.20855435858999344, -0.052841353910986946, 0.08477301124919535, 0.07557363400111988, 0.03540395855567642, 0.1494925897408209, -0.10843077037171048, -0.05945176811582303, 0.3610941407895541, -0.053203144684434676, -0.19756846391607688, 0.13935960027318495, -0.2181727641049914, -0.1341650071819136, 0.13545715704849845, 0.13923309711869097, 0.09870291462380297, -0.16744043650341373, 0.021943068106753068, -0.04232623964795678, 0.17178390354884765, 0.005649459766389071, 0.007444136867393987, 0.1872319232619403, 0.12888456624269462, 0.022283773822120472, 0.045487944689900556, -0.125178206216874, -0.09234339108431264, -0.30850976752264636, -0.10716460995439475, -0.2010840909788385, 0.042993352787504324, -0.11382471353310762, -0.14257675221044705, 0.3380218188947397, 0.17137273696628458, 0.27250590806096037, 0.06018428450017059, 0.25928175745862003, 0.12664100492175645, 0.059472493906918014, 0.057101293578979716, 0.23124787463405747, 0.13516603556573628, 0.04571096546346722, -0.1706274737400604, 0.19844731850007288, -0.07212816363294856] |
712.0022 | Warm Molecular Gas in M51: Mapping the Excitation Temperature and Mass
of H_2 with the Spitzer Infrared Spectrograph | We have mapped the warm molecular gas traced by the H_2 S(0) - H_2 S(5) pure
rotational mid-infrared emission lines over a radial strip across the nucleus
and disk of M51 (NGC 5194) using the Infrared Spectrograph (IRS) on the Spitzer
Space Telescope. The six H_2 lines have markedly different emission
distributions. We obtained the H_2 temperature and surface density
distributions by assuming a two temperature model: a warm (T = 100 - 300 K)
phase traced by the low J (S(0) - S(2)) lines and a hot phase (T = 400 - 1000
K) traced by the high J (S(2) - S(5)) lines. The lowest molecular gas
temperatures are found within the spiral arms (T ~ 155 K), while the highest
temperatures are found in the inter-arm regions (T > 700 K). The warm gas
surface density reaches a maximum of 11 M_sun/pc^2 in the northwestern spiral
arm, whereas the hot gas surface density peaks at 0.24 M_sun/pc^2 at the
nucleus. The spatial offset between the peaks in the warm and hot phases and
the differences in the distributions of the H_2 line emission suggest that the
warm phase is mostly produced by UV photons in star forming regions while the
hot phase is mostly produced by shocks or X-rays associated with nuclear
activity. The warm H_2 is found in the dust lanes of M51, spatially offset from
the brightest HII regions. The warm H_2 is generally spatially coincident with
the cold molecular gas traced by CO (J = 1 - 0) emission, consistent with
excitation of the warm phase in dense photodissociation regions (PDRs). In
contrast, the hot H_2 is most prominent in the nuclear region. Here, over a 0.5
kpc radius around the nucleus of M51, the hot H_2 coincides with [O IV](25.89
micron) and X-ray emission indicating that shocks and/or X-rays are responsible
for exciting this phase.
| astro-ph | we have mapped the warm molecular gas traced by the h_2 s0 h_2 s5 pure rotational midinfrared emission lines over a radial strip across the nucleus and disk of m51 ngc 5194 using the infrared spectrograph irs on the spitzer space telescope the six h_2 lines have markedly different emission distributions we obtained the h_2 temperature and surface density distributions by assuming a two temperature model a warm t 100 300 k phase traced by the low j s0 s2 lines and a hot phase t 400 1000 k traced by the high j s2 s5 lines the lowest molecular gas temperatures are found within the spiral arms t 155 k while the highest temperatures are found in the interarm regions t 700 k the warm gas surface density reaches a maximum of 11 m_sunpc2 in the northwestern spiral arm whereas the hot gas surface density peaks at 024 m_sunpc2 at the nucleus the spatial offset between the peaks in the warm and hot phases and the differences in the distributions of the h_2 line emission suggest that the warm phase is mostly produced by uv photons in star forming regions while the hot phase is mostly produced by shocks or xrays associated with nuclear activity the warm h_2 is found in the dust lanes of m51 spatially offset from the brightest hii regions the warm h_2 is generally spatially coincident with the cold molecular gas traced by co j 1 0 emission consistent with excitation of the warm phase in dense photodissociation regions pdrs in contrast the hot h_2 is most prominent in the nuclear region here over a 05 kpc radius around the nucleus of m51 the hot h_2 coincides with o iv2589 micron and xray emission indicating that shocks andor xrays are responsible for exciting this phase | [['we', 'have', 'mapped', 'the', 'warm', 'molecular', 'gas', 'traced', 'by', 'the', 'h_2', 's0', 'h_2', 's5', 'pure', 'rotational', 'midinfrared', 'emission', 'lines', 'over', 'a', 'radial', 'strip', 'across', 'the', 'nucleus', 'and', 'disk', 'of', 'm51', 'ngc', '5194', 'using', 'the', 'infrared', 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712.0023 | Non-linear force-free field modeling of a solar active region around the
time of a major flare and coronal mass ejection | Solar flares and coronal mass ejections are associated with rapid changes in
field connectivity and powered by the partial dissipation of electrical
currents in the solar atmosphere. A critical unanswered question is whether the
currents involved are induced by the motion of pre-existing atmospheric
magnetic flux subject to surface plasma flows, or whether these currents are
associated with the emergence of flux from within the solar convective zone. We
address this problem by applying state-of-the-art nonlinear force-free field
(NLFFF) modeling to the highest resolution and quality vector-magnetographic
data observed by the recently launched Hinode satellite on NOAA Active Region
10930 around the time of a powerful X3.4 flare. We compute 14 NLFFF models with
4 different codes and a variety of boundary conditions. We find that the model
fields differ markedly in geometry, energy content, and force-freeness. We
discuss the relative merits of these models in a general critique of present
abilities to model the coronal magnetic field based on surface vector field
measurements. For our application in particular, we find a fair agreement of
the best-fit model field with the observed coronal configuration, and argue (1)
that strong electrical currents emerge together with magnetic flux preceding
the flare, (2) that these currents are carried in an ensemble of thin strands,
(3) that the global pattern of these currents and of field lines are compatible
with a large-scale twisted flux rope topology, and (4) that the ~10^32 erg
change in energy associated with the coronal electrical currents suffices to
power the flare and its associated coronal mass ejection.
| astro-ph | solar flares and coronal mass ejections are associated with rapid changes in field connectivity and powered by the partial dissipation of electrical currents in the solar atmosphere a critical unanswered question is whether the currents involved are induced by the motion of preexisting atmospheric magnetic flux subject to surface plasma flows or whether these currents are associated with the emergence of flux from within the solar convective zone we address this problem by applying stateoftheart nonlinear forcefree field nlfff modeling to the highest resolution and quality vectormagnetographic data observed by the recently launched hinode satellite on noaa active region 10930 around the time of a powerful x34 flare we compute 14 nlfff models with 4 different codes and a variety of boundary conditions we find that the model fields differ markedly in geometry energy content and forcefreeness we discuss the relative merits of these models in a general critique of present abilities to model the coronal magnetic field based on surface vector field measurements for our application in particular we find a fair agreement of the bestfit model field with the observed coronal configuration and argue 1 that strong electrical currents emerge together with magnetic flux preceding the flare 2 that these currents are carried in an ensemble of thin strands 3 that the global pattern of these currents and of field lines are compatible with a largescale twisted flux rope topology and 4 that the 1032 erg change in energy associated with the coronal electrical currents suffices to power the flare and its associated coronal mass ejection | [['solar', 'flares', 'and', 'coronal', 'mass', 'ejections', 'are', 'associated', 'with', 'rapid', 'changes', 'in', 'field', 'connectivity', 'and', 'powered', 'by', 'the', 'partial', 'dissipation', 'of', 'electrical', 'currents', 'in', 'the', 'solar', 'atmosphere', 'a', 'critical', 'unanswered', 'question', 'is', 'whether', 'the', 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712.0024 | Super-Massive Neutron Stars | We present here the results of Arecibo timing of PSR B1516+02B, a 7.95-ms
pulsar in a binary system with a ~0.17 solar mass companion and an orbital
period of 6.85 days located in the globular cluster M5. The eccentricity of the
orbit (e = 0.14) has allowed a measurement of the rate of advance of
periastron: (0.0136 +/- 0.0007) degrees per year. It is very likely that the
periastron advance is due to the effects of general relativity; the total mass
of the binary system is (2.14 +/-0.16) solar masses. The small measured mass
function implies, in a statistical sense, that a very large fraction of this
total mass is contained in the pulsar: (1.94+0.17 -0.19) solar masses
(1-sigma); there is a 5% probability that the mass of this object is below 1.59
solar masses. With the possible exception of PSR J1748-2021B, this is the
largest neutron star mass measured to date. When combined with similar
measurements made previously for Terzan 5 I and J, we can exclude, in a
statistical sense, the ``soft'' equations of state for dense neutron matter,
implying that matter at the center of a neutron star is highly incompressible.
There is also some evidence for a bimodal distribution of MSP masses, the
reasons for that are not clear.
| astro-ph | we present here the results of arecibo timing of psr b151602b a 795ms pulsar in a binary system with a 017 solar mass companion and an orbital period of 685 days located in the globular cluster m5 the eccentricity of the orbit e 014 has allowed a measurement of the rate of advance of periastron 00136 00007 degrees per year it is very likely that the periastron advance is due to the effects of general relativity the total mass of the binary system is 214 016 solar masses the small measured mass function implies in a statistical sense that a very large fraction of this total mass is contained in the pulsar 194017 019 solar masses 1sigma there is a 5 probability that the mass of this object is below 159 solar masses with the possible exception of psr j17482021b this is the largest neutron star mass measured to date when combined with similar measurements made previously for terzan 5 i and j we can exclude in a statistical sense the soft equations of state for dense neutron matter implying that matter at the center of a neutron star is highly incompressible there is also some evidence for a bimodal distribution of msp masses the reasons for that are not clear | [['we', 'present', 'here', 'the', 'results', 'of', 'arecibo', 'timing', 'of', 'psr', 'b151602b', 'a', '795ms', 'pulsar', 'in', 'a', 'binary', 'system', 'with', 'a', '017', 'solar', 'mass', 'companion', 'and', 'an', 'orbital', 'period', 'of', '685', 'days', 'located', 'in', 'the', 'globular', 'cluster', 'm5', 'the', 'eccentricity', 'of', 'the', 'orbit', 'e', '014', 'has', 'allowed', 'a', 'measurement', 'of', 'the', 'rate', 'of', 'advance', 'of', 'periastron', '00136', '00007', 'degrees', 'per', 'year', 'it', 'is', 'very', 'likely', 'that', 'the', 'periastron', 'advance', 'is', 'due', 'to', 'the', 'effects', 'of', 'general', 'relativity', 'the', 'total', 'mass', 'of', 'the', 'binary', 'system', 'is', '214', '016', 'solar', 'masses', 'the', 'small', 'measured', 'mass', 'function', 'implies', 'in', 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'clear']] | [-0.14402528078424517, 0.17870906062829967, -0.0568380122512755, 0.07303113634219063, -0.0712212682189197, -0.06355902847152149, 0.08822831909537636, 0.32540546848024265, -0.16487670980455715, -0.36209095662914254, 0.0622104186019927, -0.306825953255002, -0.02595245935976434, 0.2256283178821353, -0.08479543404796264, 0.0046742000664015074, 0.1392328610610881, 0.0582345940560352, -0.08777726772291425, -0.2156971703765582, 0.25892277011139825, 0.058679784170483376, 0.10649327595974988, 0.021075930174564914, 0.1011169596149644, -0.058017737538504754, 0.01961159202285249, -0.0510750302385414, -0.13639058496413276, 0.04212841140908417, 0.2117117306609687, 0.11827628743393641, 0.2018251203476233, -0.29634687391836106, -0.14892879970211303, 0.09012431682880664, 0.1317717562280328, 0.0287737011815907, -0.0707015352252354, -0.23114238107247215, 0.1120919996257604, -0.257018668474585, -0.191189581778961, 0.08067656069566188, 0.1231510645963929, 0.006543397014452653, 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712.0025 | Equilibrium points for Optimal Investment with Vintage Capital | The paper concerns the study of equilibrium points, namely the stationary
solutions to the closed loop equation, of an infinite dimensional and infinite
horizon boundary control problem for linear partial differential equations.
Sufficient conditions for existence of equilibrium points in the general case
are given and later applied to the economic problem of optimal investment with
vintage capital. Explicit computation of equilibria for the economic problem in
some relevant examples is also provided. Indeed the challenging issue here is
showing that a theoretical machinery, such as optimal control in infinite
dimension, may be effectively used to compute solutions explicitly and easily,
and that the same computation may be straightforwardly repeated in examples
yielding the same abstract structure. No stability result is instead provided:
the work here contained has to be considered as a first step in the direction
of studying the behavior of optimal controls and trajectories in the long run.
| math.OC | the paper concerns the study of equilibrium points namely the stationary solutions to the closed loop equation of an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations sufficient conditions for existence of equilibrium points in the general case are given and later applied to the economic problem of optimal investment with vintage capital explicit computation of equilibria for the economic problem in some relevant examples is also provided indeed the challenging issue here is showing that a theoretical machinery such as optimal control in infinite dimension may be effectively used to compute solutions explicitly and easily and that the same computation may be straightforwardly repeated in examples yielding the same abstract structure no stability result is instead provided the work here contained has to be considered as a first step in the direction of studying the behavior of optimal controls and trajectories in the long run | [['the', 'paper', 'concerns', 'the', 'study', 'of', 'equilibrium', 'points', 'namely', 'the', 'stationary', 'solutions', 'to', 'the', 'closed', 'loop', 'equation', 'of', 'an', 'infinite', 'dimensional', 'and', 'infinite', 'horizon', 'boundary', 'control', 'problem', 'for', 'linear', 'partial', 'differential', 'equations', 'sufficient', 'conditions', 'for', 'existence', 'of', 'equilibrium', 'points', 'in', 'the', 'general', 'case', 'are', 'given', 'and', 'later', 'applied', 'to', 'the', 'economic', 'problem', 'of', 'optimal', 'investment', 'with', 'vintage', 'capital', 'explicit', 'computation', 'of', 'equilibria', 'for', 'the', 'economic', 'problem', 'in', 'some', 'relevant', 'examples', 'is', 'also', 'provided', 'indeed', 'the', 'challenging', 'issue', 'here', 'is', 'showing', 'that', 'a', 'theoretical', 'machinery', 'such', 'as', 'optimal', 'control', 'in', 'infinite', 'dimension', 'may', 'be', 'effectively', 'used', 'to', 'compute', 'solutions', 'explicitly', 'and', 'easily', 'and', 'that', 'the', 'same', 'computation', 'may', 'be', 'straightforwardly', 'repeated', 'in', 'examples', 'yielding', 'the', 'same', 'abstract', 'structure', 'no', 'stability', 'result', 'is', 'instead', 'provided', 'the', 'work', 'here', 'contained', 'has', 'to', 'be', 'considered', 'as', 'a', 'first', 'step', 'in', 'the', 'direction', 'of', 'studying', 'the', 'behavior', 'of', 'optimal', 'controls', 'and', 'trajectories', 'in', 'the', 'long', 'run']] | [-0.1207687413776355, 0.06859345985385697, -0.09439254683497923, 0.0933525252475138, -0.07703628862393859, -0.13362910678696555, 0.041592848404705375, 0.3184085902912135, -0.30203946326729775, -0.2690999315101777, 0.1963740627725442, -0.23241598831045607, -0.15095727940919557, 0.2009672875553123, -0.09002457843709502, 0.1039488554010106, 0.05793483799866197, 0.046581912394119615, -0.029927402321520625, -0.2739827065583664, 0.3207320417462546, 0.03313495355214159, 0.246572746108872, 0.05665509200991063, 0.12910998549808853, -0.0247252929072198, 0.0017189805122980516, 0.0743599122001586, -0.14543205362620118, 0.09657900539822013, 0.31559470266917883, 0.11669173321550996, 0.3049756414364925, -0.4493936675397173, -0.1844744160848466, 0.13382006565182908, 0.16625648233361098, 0.13508992836446754, -0.027746763191377092, -0.22178487673506683, 0.10217394586960903, -0.1402521933311757, -0.19308487637375563, -0.06523612542740927, 0.031979784065709504, 0.009038001604205528, -0.2902820551222875, 0.04484110698470112, 0.07284749692787003, 0.04372719973048183, -0.11796771639661975, -0.054775658503810054, -0.02975552247849521, 0.1578268406635909, 0.06699102439158997, -0.030462947280904807, 0.07884164658738979, -0.10623680845286353, -0.14477310704710333, 0.36307943922880764, -0.03340460378707492, -0.26032963461729863, 0.15376947600308138, -0.10962424660641207, -0.1295570214356092, 0.10931277392580119, 0.16939514358250413, 0.144277633050617, -0.15719527936893646, 0.11407556203278768, -0.054116745235009846, 0.12598910643133204, 0.08335661145839963, 0.007283717308683778, 0.13521341509524956, 0.12908028015891546, 0.15050887653530137, 0.16542116641598933, 0.025308094035204967, -0.16659605028477825, -0.3366791976134706, -0.16285127117637768, -0.1369100220166825, 0.06347325221875942, -0.08660355558441968, -0.16992678528417224, 0.37530241252866803, 0.13729287491415917, 0.17163689482019634, 0.03468038079742071, 0.27221011897141967, 0.16372946055493448, -0.009549213406808723, 0.09160357663432593, 0.2111765581982238, 0.0820833127483084, 0.09557010550730374, -0.2096556475376772, 0.08909355056015712, 0.07700484169844464] |
712.0026 | Deconstructing the High-Mass Star-Forming Region IRAS 23033+5951 | We report interferometric observations of the high-mass star-forming object
IRAS 23033+5951. Our observations reveal two massive molecular cloud cores,
designated IRAS 23033+5951-MMS1 and IRAS 23033+5951-MMS2. MMS1 has already
formed a massive protostar and MMS2 appears to be on the verge of doing so. The
latter core may be an example of a massive analogue to a "Class 0" star-forming
object. The more evolved core shows some evidence of N2H+ destruction near the
protostar, consistent with similar findings in low-mass star-forming objects.
In addition to the already-known prominent HCO+ outflow, our SiO 2--1, and
CH3OH 2--1 maps show evidence for two more candidate outflows, both presumably
less powerful than the main one. Both cores are embedded in an elongated
feature whose major axis is oriented almost exactly perpendicular to the axis
of the most prominent outflow in the region. Although it has many of the
characteristics of a disk, the 87,000 AU (0.42 pc) diameter of this structure
suggests that it is more likely to be the flattened, rotating remnant of the
natal molecular cloud fragment from which the star-forming cores condensed. We
conclude that IRAS 23033+5951 is an excellent example of massive star formation
proceeding in relative isolation, perhaps by the method of monolithic collapse
and disk accretion.
| astro-ph | we report interferometric observations of the highmass starforming object iras 230335951 our observations reveal two massive molecular cloud cores designated iras 230335951mms1 and iras 230335951mms2 mms1 has already formed a massive protostar and mms2 appears to be on the verge of doing so the latter core may be an example of a massive analogue to a class 0 starforming object the more evolved core shows some evidence of n2h destruction near the protostar consistent with similar findings in lowmass starforming objects in addition to the alreadyknown prominent hco outflow our sio 21 and ch3oh 21 maps show evidence for two more candidate outflows both presumably less powerful than the main one both cores are embedded in an elongated feature whose major axis is oriented almost exactly perpendicular to the axis of the most prominent outflow in the region although it has many of the characteristics of a disk the 87000 au 042 pc diameter of this structure suggests that it is more likely to be the flattened rotating remnant of the natal molecular cloud fragment from which the starforming cores condensed we conclude that iras 230335951 is an excellent example of massive star formation proceeding in relative isolation perhaps by the method of monolithic collapse and disk accretion | [['we', 'report', 'interferometric', 'observations', 'of', 'the', 'highmass', 'starforming', 'object', 'iras', '230335951', 'our', 'observations', 'reveal', 'two', 'massive', 'molecular', 'cloud', 'cores', 'designated', 'iras', '230335951mms1', 'and', 'iras', '230335951mms2', 'mms1', 'has', 'already', 'formed', 'a', 'massive', 'protostar', 'and', 'mms2', 'appears', 'to', 'be', 'on', 'the', 'verge', 'of', 'doing', 'so', 'the', 'latter', 'core', 'may', 'be', 'an', 'example', 'of', 'a', 'massive', 'analogue', 'to', 'a', 'class', '0', 'starforming', 'object', 'the', 'more', 'evolved', 'core', 'shows', 'some', 'evidence', 'of', 'n2h', 'destruction', 'near', 'the', 'protostar', 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-0.16598115011127482, -0.14651284170366696, 0.08241513054892101, -0.14304262063181822, -0.10612253246682823, 0.2486794426667449, 0.09711954788194728, 0.2157035273518048, -0.016711226405973053, 0.31107649472816024, 0.033182012799478994, 0.15290980730844916, 0.181646594081494, 0.28283769192756725, 0.16995312090091153, 0.1018375568890798, -0.20789095190212167, 0.08765803943342511, -0.04107553654752087] |
712.0027 | A linear equation for Minkowski sums of polytopes relatively in general
position | The objective of this paper is to study a special family of Minkowski sums,
that is of polytopes relatively in general position. We show that the maximum
number of faces in the sum can be attained by this family. We present a new
linear equation that is satisfied by f-vectors of the sum and the summands. We
study some of the implications of this equation.
| math.CO | the objective of this paper is to study a special family of minkowski sums that is of polytopes relatively in general position we show that the maximum number of faces in the sum can be attained by this family we present a new linear equation that is satisfied by fvectors of the sum and the summands we study some of the implications of this equation | [['the', 'objective', 'of', 'this', 'paper', 'is', 'to', 'study', 'a', 'special', 'family', 'of', 'minkowski', 'sums', 'that', 'is', 'of', 'polytopes', 'relatively', 'in', 'general', 'position', 'we', 'show', 'that', 'the', 'maximum', 'number', 'of', 'faces', 'in', 'the', 'sum', 'can', 'be', 'attained', 'by', 'this', 'family', 'we', 'present', 'a', 'new', 'linear', 'equation', 'that', 'is', 'satisfied', 'by', 'fvectors', 'of', 'the', 'sum', 'and', 'the', 'summands', 'we', 'study', 'some', 'of', 'the', 'implications', 'of', 'this', 'equation']] | [-0.176365549575824, 0.08213243663597565, -0.07034701087440436, 0.01867694531639035, -0.08668172585849579, -0.04369325091919074, 0.03279707947423538, 0.3225726509323487, -0.30058280126406595, -0.24155331746889994, 0.11963652464417884, -0.2665328612157072, -0.19838403933323345, 0.1686938169483955, -0.1253320179736385, 0.012184135615825653, 0.07011315196465988, 0.03894303584328065, -0.08624262032412494, -0.30291569794599826, 0.3869464416629993, -0.01920328881018437, 0.2172926387964533, 0.0880334217961018, 0.11092525241144288, 0.002247053080310042, 0.029488937313166947, 0.07682627886533737, -0.16431779203602884, 0.1813659638596269, 0.22462583338985076, 0.16045481018148935, 0.26969093951898127, -0.35862625006299753, -0.1561909368261695, 0.18424795555094114, 0.1355329986428842, 0.085652947683747, -0.03453978401823686, -0.1898309640872937, 0.1174268922696893, -0.1617121486996229, -0.1557137544051959, -0.06143917346086639, -0.0059662779363302085, 0.06054395511030004, -0.2492755971992245, 0.06025501874347146, 0.09615302520016066, 0.03019520389632537, -0.03850676562780371, -0.1442037020720398, 0.01855168266651722, 0.059930899295096214, 0.06489168377234959, -0.007373024981755477, -0.0033710498076218827, -0.12703786985590482, -0.10399407305969642, 0.40447688604740856, -0.060147695968715616, -0.24679435222194746, 0.09122226958772024, -0.1987022440164135, -0.14705898671124418, 0.09221155713133228, 0.17967607960678064, 0.1923584870277689, -0.1672848701620331, 0.09036607588909996, -0.15591821048695306, 0.0858946096438628, 0.09468694333560192, 0.025193764137713095, 0.17760212392761157, 0.14017895824777393, 0.08929103605735761, 0.21983973615838645, -0.015436194521876482, -0.05781756357934612, -0.3792918402701616, -0.22482654102719746, -0.22304992429338968, 0.08747990147139018, -0.10376817245873658, -0.1379690708879095, 0.41402977088896126, 0.11171377950992722, 0.20157111269206954, 0.12164712320440091, 0.24748152225063397, 0.1571081844659952, 0.018371265352918553, 0.04592203902653777, 0.21777089642441402, 0.13042849386110902, -0.006177747177963073, -0.17305382864836316, 0.045071259649613726, 0.10050501669398867] |
712.0028 | Pluripolarity of manifolds | By the classical result of E. Bedford, a real-analytic non-generic manifold
is pluripolar. We extend this result for manifolds of the Gevrey class. This
also gives a generalization of the recent result of D. Coman, N. Levenberg and
E. Poletsky on pluripolarity of curves of the Gevrey class.
| math.CV | by the classical result of e bedford a realanalytic nongeneric manifold is pluripolar we extend this result for manifolds of the gevrey class this also gives a generalization of the recent result of d coman n levenberg and e poletsky on pluripolarity of curves of the gevrey class | [['by', 'the', 'classical', 'result', 'of', 'e', 'bedford', 'a', 'realanalytic', 'nongeneric', 'manifold', 'is', 'pluripolar', 'we', 'extend', 'this', 'result', 'for', 'manifolds', 'of', 'the', 'gevrey', 'class', 'this', 'also', 'gives', 'a', 'generalization', 'of', 'the', 'recent', 'result', 'of', 'd', 'coman', 'n', 'levenberg', 'and', 'e', 'poletsky', 'on', 'pluripolarity', 'of', 'curves', 'of', 'the', 'gevrey', 'class']] | [-0.21958950332676372, 0.03326362718750412, -0.08722203049304274, 0.06202334172121482, -0.08144117309711874, -0.1206188717042096, 0.017775719054043293, 0.22866734664421529, -0.22764821100281551, -0.20446781014713147, 0.034828864787414204, -0.24709276901558042, -0.17749067823266765, 0.2432689277047757, -0.1627510249381885, 0.04485713704101121, 0.08728803996139807, 0.023474749526940286, -0.05602304400720944, -0.29049963275125873, 0.44486390890475985, -0.024495151670028765, 0.16981366917025298, 0.053009595295103885, 0.03560991492607476, 0.01759484619833529, -0.013689870674473545, -0.03500010874510432, -0.22062232717871666, 0.17135658482341873, 0.2444471096775184, 0.10530301602557302, 0.2291444803122431, -0.2918016478967426, -0.20533502123241001, 0.17512069750227965, 0.07882970272718619, -0.006042730567666392, 0.0399832640614477, -0.2876089708103488, 0.10471914063479441, -0.12160721068600348, -0.24652621224716617, -0.06960703160924216, 0.1254021613082538, 0.021417870205671836, -0.260380376324368, 0.057764509182864764, 0.27779167104745284, 0.06980089622235634, -0.061247824768846236, -0.11197277456327963, -0.023063448767061345, -0.01086526740497599, 0.034645521950248316, 0.12605651242968938, 0.020121703028659493, -0.016978819961271558, -0.09820861532352865, 0.31405187043128535, -0.09076546621023833, -0.22432416367034116, 0.15440441510872915, -0.17404792076558806, -0.19036036528026065, 0.10516965571635713, 0.14018940746124522, 0.2511454376702507, -0.031000968049435567, 0.25121247746938025, -0.15044513619189578, 0.00929727113301245, 0.12110769473171483, -0.021488177163215976, 0.024629708689947922, 0.10679905589010256, 0.1375198393749694, 0.13575585175082475, 0.0001145323282495762, 0.019626663929860417, -0.3651224587423106, -0.17792631313204765, -0.16854794544633478, 0.2113899165803256, -0.09987133826719703, -0.17624241330971321, 0.41185859648976475, 0.0059678892757801805, 0.25551256046552834, 0.157620764124052, 0.13911694964432778, 0.029127053431390475, -0.059088005761926375, 0.05531020874817235, 0.18073287427735826, 0.16814553641112676, 0.08401635370682925, -0.11574649891554145, -0.014119610787020065, 0.1944004614294196] |
712.0029 | Entropy growth in the early universe and confirmation of initial big
bang conditions (Why the quark-gluon model is not the best analogy) | This paper shows how increased entropy values from an initially low big bang
level can be measured experimentally by counting relic gravitons. Furthermore
the physical mechanism of this entropy increase is explained via analogies with
early-universe phase transitions. The rapid increase in entropy so alluded to
without near sudden increases up to 10 to the 88 power may be enough to allow
successful modeling of relic graviton production for entropy in a manner
similar to zero point energy extraction from a vacuum state
| physics.gen-ph | this paper shows how increased entropy values from an initially low big bang level can be measured experimentally by counting relic gravitons furthermore the physical mechanism of this entropy increase is explained via analogies with earlyuniverse phase transitions the rapid increase in entropy so alluded to without near sudden increases up to 10 to the 88 power may be enough to allow successful modeling of relic graviton production for entropy in a manner similar to zero point energy extraction from a vacuum state | [['this', 'paper', 'shows', 'how', 'increased', 'entropy', 'values', 'from', 'an', 'initially', 'low', 'big', 'bang', 'level', 'can', 'be', 'measured', 'experimentally', 'by', 'counting', 'relic', 'gravitons', 'furthermore', 'the', 'physical', 'mechanism', 'of', 'this', 'entropy', 'increase', 'is', 'explained', 'via', 'analogies', 'with', 'earlyuniverse', 'phase', 'transitions', 'the', 'rapid', 'increase', 'in', 'entropy', 'so', 'alluded', 'to', 'without', 'near', 'sudden', 'increases', 'up', 'to', '10', 'to', 'the', '88', 'power', 'may', 'be', 'enough', 'to', 'allow', 'successful', 'modeling', 'of', 'relic', 'graviton', 'production', 'for', 'entropy', 'in', 'a', 'manner', 'similar', 'to', 'zero', 'point', 'energy', 'extraction', 'from', 'a', 'vacuum', 'state']] | [-0.07708023269436355, 0.23800290324350018, -0.11052973665499005, 0.08209943335295755, -0.05042778381079166, -0.13758002291714033, 0.1152842958325924, 0.2862080884648554, -0.2725443112697587, -0.3489650871425149, 0.0673982074781579, -0.30672014539455433, -0.05408899302044547, 0.1655993535553655, -0.08004538399582527, 0.0423678378674485, 0.050315246185153185, 0.04223091849013714, -0.049146585850920306, -0.1925169841683728, 0.27302303240236164, 0.15238623373793908, 0.29448193720126725, 0.12163191917632897, 0.049677781648485055, -0.0780203082705343, 0.02856784578341239, 0.022648212309163737, -0.10751430166279335, 0.05174553287159427, 0.27633360968566084, 0.13089870394443173, 0.21206563104123596, -0.4147446977580527, -0.22813689859909375, 0.17876848670463247, 0.1801723622638418, 0.1513359594125166, -0.05575233694805528, -0.23549238560968136, 0.10556505371378846, -0.24363345758854804, -0.14606458983799242, -0.08635748000478888, 0.01562604009656303, -0.08135562908487866, -0.2196290999291891, 0.12120356442159917, -0.00945381471516946, 0.0011406221107231925, -0.03742724092374275, -0.03293324553643365, -0.04200032920610294, 0.05963652354597776, 0.08341008932217507, 0.060905672274936686, 0.18531322746863027, -0.13957327287307525, -0.0996085086063179, 0.3176711790056069, -0.13465245716913368, -0.10451625235917339, 0.17318548940694387, -0.16159232264294862, -0.12112622703769221, 0.19790647649598947, 0.13195680362994344, 0.06522874797817814, -0.12954510270382266, 0.0413037642464182, 0.09737391326105199, 0.19958497933848446, 0.11075580061177712, 0.04428299465946045, 0.2851682432354933, 0.11232322989542216, 0.023769738971738213, 0.16823571317700153, -0.0579328685662294, -0.10440407125133788, -0.31964909799778496, -0.15586123924074044, -0.1419613668274314, 0.09666283515068781, -0.10434029320344688, -0.11474196551681821, 0.34344136782259826, 0.16108055509408062, 0.2763666291328439, 0.004406118513006403, 0.2899583472073617, 0.16666956438054611, 0.06112994082518909, 0.05866065419963505, 0.30456347166033215, 0.11104510345563562, 0.16449972384059466, -0.21971743546583386, 0.0681755340669349, 0.019346687286329198] |
712.003 | Glass-forming liquids: One or more "order" parameters? | We first summarize the classical arguments that the vast majority of
glass-forming liquids require more than one "order" parameter for their
description. Critiques against this conventional wisdom are then presented, and
it is argued that the matter deserves to be reconsidered in light of recent
experimental developments. Out of the eight basic thermoviscoelastic
frequency-dependent response functions, there are generally three independent
functions. For stochastic dynamics we show that there are only two independent
response functions; for this case it is shown how analytic continuation may be
utilized to express the third response functions in terms of two others.
Operational criteria are presented for the linear thermoviscoelasticity being
described by a single "order" parameter, in which case there is just one
independent thermoviscoelastic response function. It is shown that a single
"order" parameter description applies to a good approximation whenever thermal
equilibrium fluctuations of fundamental variables like energy and pressure are
strongly correlated. Results from computer simulations showing that this is the
case for a number of simple glass-forming liquids, as well as a few exceptions,
are briefly presented. Finally, we discuss a new conjecture according to which
experiments at varying temperature and pressure follow the density-scaling
expression for the relaxation time, $\tau=F(\rho^x/T)$ ($\rho$ and $T$ are
density and temperature), if and only if the liquid is "strongly correlating,"
i.e., to a good approximation is described by a single "order" parameter.
| cond-mat.soft | we first summarize the classical arguments that the vast majority of glassforming liquids require more than one order parameter for their description critiques against this conventional wisdom are then presented and it is argued that the matter deserves to be reconsidered in light of recent experimental developments out of the eight basic thermoviscoelastic frequencydependent response functions there are generally three independent functions for stochastic dynamics we show that there are only two independent response functions for this case it is shown how analytic continuation may be utilized to express the third response functions in terms of two others operational criteria are presented for the linear thermoviscoelasticity being described by a single order parameter in which case there is just one independent thermoviscoelastic response function it is shown that a single order parameter description applies to a good approximation whenever thermal equilibrium fluctuations of fundamental variables like energy and pressure are strongly correlated results from computer simulations showing that this is the case for a number of simple glassforming liquids as well as a few exceptions are briefly presented finally we discuss a new conjecture according to which experiments at varying temperature and pressure follow the densityscaling expression for the relaxation time taufrhoxt rho and t are density and temperature if and only if the liquid is strongly correlating ie to a good approximation is described by a single order parameter | [['we', 'first', 'summarize', 'the', 'classical', 'arguments', 'that', 'the', 'vast', 'majority', 'of', 'glassforming', 'liquids', 'require', 'more', 'than', 'one', 'order', 'parameter', 'for', 'their', 'description', 'critiques', 'against', 'this', 'conventional', 'wisdom', 'are', 'then', 'presented', 'and', 'it', 'is', 'argued', 'that', 'the', 'matter', 'deserves', 'to', 'be', 'reconsidered', 'in', 'light', 'of', 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712.0031 | Slider-pinning Rigidity: a Maxwell-Laman-type Theorem | We define and study slider-pinning rigidity, giving a complete combinatorial
characterization. This is done via direction-slider networks, which are a
generalization of Whiteley's direction networks.
| math.CO | we define and study sliderpinning rigidity giving a complete combinatorial characterization this is done via directionslider networks which are a generalization of whiteleys direction networks | [['we', 'define', 'and', 'study', 'sliderpinning', 'rigidity', 'giving', 'a', 'complete', 'combinatorial', 'characterization', 'this', 'is', 'done', 'via', 'directionslider', 'networks', 'which', 'are', 'a', 'generalization', 'of', 'whiteleys', 'direction', 'networks']] | [-0.17965214576741512, 0.021161338526078245, -0.09773884256455032, 0.05895506421273405, -0.12187316294082186, -0.11458165041933005, 0.047432432967153465, 0.3885709506205537, -0.2864869877018712, -0.24887958363714544, 0.1009671725332737, -0.16530250724066387, -0.26713835079730913, 0.17899152128533882, -0.11780354702337222, -0.043210135053165934, 0.11218920498239723, 0.020918890410526234, -0.06964477346859481, -0.20186521688645537, 0.3320521153086288, 0.06443913153965365, 0.2551639261232181, 0.09829971634528854, 0.06622443786314265, 0.05359596433117986, -0.06525628184053031, 0.11252138873731549, -0.2208784956231036, 0.22286427219990979, 0.2235192648897117, 0.12342549970542843, 0.2464454797181216, -0.36451975078406657, -0.2396023549054834, 0.19698431820143014, 0.10655380783348599, 0.13146533979505132, -0.010991467374630949, -0.26645417748527095, 0.134281625717201, -0.12791475718999704, -0.10924077448858456, -0.14139268818226727, -0.05115051824726503, 0.015770508770153603, -0.2499826272780245, 0.006172130350023508, 0.12605210620147939, 0.11151283801948673, 0.006251051831482487, -0.03780837297778238, 0.051955843809992075, 0.11674602769992569, -0.028182820808565753, 0.04596995806787163, 0.07220931592482058, -0.06685095241250978, -0.19194946298375726, 0.3690895466980609, 0.02464070258429274, -0.23035510544749824, 0.16135663268241016, -0.03561045030470599, -0.18129662610590458, 0.08997464831918478, 0.2132783027535135, 0.1950384187935428, -0.20444565952162852, 0.028460269071563907, -0.11594007460569794, 0.04826574264602228, 0.10754651950926265, 0.030824823135679417, 0.1656243120404807, 0.23844317566942086, 0.14048817207698117, 0.27106463739817793, 0.029377181463959543, -0.04666328205811707, -0.27267235779965465, -0.18084956468506294, -0.15294697288085113, 0.15761927036907186, -0.061549114718879784, -0.18987114930694754, 0.460684445771304, 0.038499231026931244, 0.25341556898572226, 0.1646152658610266, 0.25787518769290974, 0.07920475693588908, 0.030157922513105652, 0.01513354016721926, 0.18869289330376143, 0.24643587206744336, 0.11009560415351932, -0.05916731608290733, 0.05706120839088478, 0.15334127995778213] |
712.0032 | Other Meta-Stable Brane Configuration by Adding an Orientifold 6-Plane
to Giveon-Kutasov | Giveon and Kutasov have found the type IIA intersecting nonsupersymmetric
meta-stable brane configuration where the electric gauge theory superpotential
has a quartic term as well as the mass term for quarks. In this paper, by
adding the orientifold 6-plane to this brane configuration, we describe the
brane configuration corresponding to the meta-stable nonsupersymmetric vacua of
the supersymmetric unitary gauge theory with symmetric flavor as well as
fundamental flavors.
| hep-th | giveon and kutasov have found the type iia intersecting nonsupersymmetric metastable brane configuration where the electric gauge theory superpotential has a quartic term as well as the mass term for quarks in this paper by adding the orientifold 6plane to this brane configuration we describe the brane configuration corresponding to the metastable nonsupersymmetric vacua of the supersymmetric unitary gauge theory with symmetric flavor as well as fundamental flavors | [['giveon', 'and', 'kutasov', 'have', 'found', 'the', 'type', 'iia', 'intersecting', 'nonsupersymmetric', 'metastable', 'brane', 'configuration', 'where', 'the', 'electric', 'gauge', 'theory', 'superpotential', 'has', 'a', 'quartic', 'term', 'as', 'well', 'as', 'the', 'mass', 'term', 'for', 'quarks', 'in', 'this', 'paper', 'by', 'adding', 'the', 'orientifold', '6plane', 'to', 'this', 'brane', 'configuration', 'we', 'describe', 'the', 'brane', 'configuration', 'corresponding', 'to', 'the', 'metastable', 'nonsupersymmetric', 'vacua', 'of', 'the', 'supersymmetric', 'unitary', 'gauge', 'theory', 'with', 'symmetric', 'flavor', 'as', 'well', 'as', 'fundamental', 'flavors']] | [-0.08220258664668482, 0.2264369829910506, -0.010158760610091336, 0.1507548655157306, -0.07372204094837584, -0.21992145298624083, 0.019324643799336627, 0.26898267817245247, -0.10321518206996295, -0.28152834263849347, 0.06147694343235344, -0.24340561974574537, -0.1364878513439394, -0.007405108416124302, -0.09068162291420295, 0.014460130238576847, -0.05037508124951273, 0.02441683381467181, -0.053254518062150216, -0.2844775106795543, 0.35742792043396654, -0.011294328114565681, 0.25278804569012103, 0.05168916691806825, 0.10275641731534373, -0.03382069683935055, 0.08584195263135959, -0.03066968058427686, -0.10463858662200544, 0.038359647086027134, 0.2251697425620959, 0.03372715408092036, 0.004451233071877676, -0.4389436022542855, -0.20648597751963227, 0.14972480960354648, 0.21976199066814253, 0.19482314010041163, -0.02563001829548739, -0.3176787583814824, 0.05108172919683378, -0.22282866673434482, -0.22365751916967222, -0.09471348921001396, -0.003001581144738285, -0.10331337907187202, -0.2597045409767067, 0.019140173352378255, -0.05034150700564222, 0.013045562280561118, -0.029565599832601624, -0.09562547610018074, -0.16209008337190264, -0.00960351193926352, 0.24958231420639684, 0.11773841437089312, 0.12038797661251224, -0.19390099396353916, -0.18498337972799644, 0.3966290102723767, -0.09072413159233025, -0.22780597831725197, 0.11071300197748796, -0.05361345362068866, -0.1596278490306919, 0.036616881271851635, 0.05450403045260293, 0.19156830893445978, -0.12516835107303717, 0.3252321076570832, -0.057750003371278155, 0.09616893611211494, 0.1556741326520055, 0.0699271035983282, 0.29528104330700655, 0.1404262403409709, 0.07294514812939965, 0.13634763250593096, 0.003970976384794887, -0.17029349390855608, -0.4626530471312649, -0.07825970161459683, -0.08226287698797773, 0.15919086152194617, -0.171232433140283, -0.22864885131061516, 0.3980563523603932, 0.027010029503692162, 0.1488543571835822, 0.01112498645670712, 0.16379520865431166, 0.044438596260186064, 0.07265706939677544, -0.03565463540144265, 0.2831858800559798, 0.14002306491431013, 0.13910319123362355, -0.2864161349613877, -0.23338597334291347, 0.25909905064412775] |
712.0033 | The Environment on few Mpc scales of Infrared Luminous Galaxies at
Redshifts z~1 | We investigate the environment of infrared luminous galaxies (L$_{IR}$[8-1000
$\mu $m$] >10^{11}$L$_{\sun}$). We focus on the redshift range 0.7 $\leq$ z
$\leq$ 1, where these galaxies dominate the star formation activity and play a
significant role in galaxy evolution. We employ MIPS 24$\mu$m data to identify
infrared galaxies in the Extended Groth Strip (EGS). We use a local density
indicator to probe the environment on few Mpc scales and a group member
catalog, both of which make use of the DEEP2 spectroscopic redshift catalog, to
quantify the environment of these galaxies.
We find that the local environment of LIRGs and ULIRGs is intermediate
between that of blue and red galaxies. LIRGs and ULIRGs avoid underdense
environments and inhabit local environments that are more dense on average than
those of other DEEP2 galaxies at similar redshifts. However, when the
comparison sample of the non-IR DEEP2 galaxies is restricted to have the same
range of stellar mass, color, or luminosity as the IR--galaxies, there is no
longer any significant difference in environment; the IR-galaxies follow the
same trends in the color-environment and luminosity-environment relations
observed at z$\sim$1.
We also find that about 30% of the LIRGs and ULIRGs belong to groups,
associated with a minimum dark matter halo of
6$\times10^{12}$M$_{\odot}$h$^{-1}$. The group members constitute 20 % of the
sources responsible for the IR star formation rate density and comoving energy
density at z$\sim$1.
| astro-ph | we investigate the environment of infrared luminous galaxies l_ir81000 mu m 1011l_sun we focus on the redshift range 07 leq z leq 1 where these galaxies dominate the star formation activity and play a significant role in galaxy evolution we employ mips 24mum data to identify infrared galaxies in the extended groth strip egs we use a local density indicator to probe the environment on few mpc scales and a group member catalog both of which make use of the deep2 spectroscopic redshift catalog to quantify the environment of these galaxies we find that the local environment of lirgs and ulirgs is intermediate between that of blue and red galaxies lirgs and ulirgs avoid underdense environments and inhabit local environments that are more dense on average than those of other deep2 galaxies at similar redshifts however when the comparison sample of the nonir deep2 galaxies is restricted to have the same range of stellar mass color or luminosity as the irgalaxies there is no longer any significant difference in environment the irgalaxies follow the same trends in the colorenvironment and luminosityenvironment relations observed at zsim1 we also find that about 30 of the lirgs and ulirgs belong to groups associated with a minimum dark matter halo of 6times1012m_odoth1 the group members constitute 20 of the sources responsible for the ir star formation rate density and comoving energy density at zsim1 | [['we', 'investigate', 'the', 'environment', 'of', 'infrared', 'luminous', 'galaxies', 'l_ir81000', 'mu', 'm', '1011l_sun', 'we', 'focus', 'on', 'the', 'redshift', 'range', '07', 'leq', 'z', 'leq', '1', 'where', 'these', 'galaxies', 'dominate', 'the', 'star', 'formation', 'activity', 'and', 'play', 'a', 'significant', 'role', 'in', 'galaxy', 'evolution', 'we', 'employ', 'mips', '24mum', 'data', 'to', 'identify', 'infrared', 'galaxies', 'in', 'the', 'extended', 'groth', 'strip', 'egs', 'we', 'use', 'a', 'local', 'density', 'indicator', 'to', 'probe', 'the', 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712.0034 | Dark Energy Constraints from Galaxy Cluster Peculiar Velocities | Future multifrequency microwave background experiments with arcminute
resolution and micro-Kelvin temperature sensitivity will be able to detect the
kinetic Sunyaev-Zeldovich (kSZ) effect, providing a way to measure radial
peculiar velocities of massive galaxy clusters. We show that cluster peculiar
velocities have the potential to constrain several dark energy parameters. We
compare three velocity statistics (the distribution of radial velocities, the
mean pairwise streaming velocity, and the velocity correlation function) and
analyze the relative merits of these statistics in constraining dark energy
parameters. Of the three statistics, mean pairwise streaming velocity provides
constraints that are least sensitive to velocity errors: the constraints on
parameters degrades only by a factor of two when the random error is increased
from 100 to 500 km/s. We also compare cluster velocities with other dark energy
probes proposed in the Dark Energy Task Force report. For cluster velocity
measurements with realistic priors, the eventual constraints on the dark energy
density, the dark energy equation of state and its evolution are comparable to
constraints from supernovae measurements, and better than cluster counts and
baryon acoustic oscillations; adding velocity to other dark energy probes
improves constraints on the figure of merit by more than a factor of two. For
upcoming Sunyaev-Zeldovich galaxy cluster surveys, even velocity measurements
with errors as large as 1000 km/s will substantially improve the cosmological
constraints compared to using the cluster number density alone.
| astro-ph | future multifrequency microwave background experiments with arcminute resolution and microkelvin temperature sensitivity will be able to detect the kinetic sunyaevzeldovich ksz effect providing a way to measure radial peculiar velocities of massive galaxy clusters we show that cluster peculiar velocities have the potential to constrain several dark energy parameters we compare three velocity statistics the distribution of radial velocities the mean pairwise streaming velocity and the velocity correlation function and analyze the relative merits of these statistics in constraining dark energy parameters of the three statistics mean pairwise streaming velocity provides constraints that are least sensitive to velocity errors the constraints on parameters degrades only by a factor of two when the random error is increased from 100 to 500 kms we also compare cluster velocities with other dark energy probes proposed in the dark energy task force report for cluster velocity measurements with realistic priors the eventual constraints on the dark energy density the dark energy equation of state and its evolution are comparable to constraints from supernovae measurements and better than cluster counts and baryon acoustic oscillations adding velocity to other dark energy probes improves constraints on the figure of merit by more than a factor of two for upcoming sunyaevzeldovich galaxy cluster surveys even velocity measurements with errors as large as 1000 kms will substantially improve the cosmological constraints compared to using the cluster number density alone | [['future', 'multifrequency', 'microwave', 'background', 'experiments', 'with', 'arcminute', 'resolution', 'and', 'microkelvin', 'temperature', 'sensitivity', 'will', 'be', 'able', 'to', 'detect', 'the', 'kinetic', 'sunyaevzeldovich', 'ksz', 'effect', 'providing', 'a', 'way', 'to', 'measure', 'radial', 'peculiar', 'velocities', 'of', 'massive', 'galaxy', 'clusters', 'we', 'show', 'that', 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712.0035 | On Myopic Sensing for Multi-Channel Opportunistic Access: Structure,
Optimality, and Performance | We consider a multi-channel opportunistic communication system where the
states of these channels evolve as independent and statistically identical
Markov chains (the Gilbert-Elliot channel model). A user chooses one channel to
sense and access in each slot and collects a reward determined by the state of
the chosen channel. The problem is to design a sensing policy for channel
selection to maximize the average reward, which can be formulated as a
multi-arm restless bandit process. In this paper, we study the structure,
optimality, and performance of the myopic sensing policy. We show that the
myopic sensing policy has a simple robust structure that reduces channel
selection to a round-robin procedure and obviates the need for knowing the
channel transition probabilities. The optimality of this simple policy is
established for the two-channel case and conjectured for the general case based
on numerical results. The performance of the myopic sensing policy is analyzed,
which, based on the optimality of myopic sensing, characterizes the maximum
throughput of a multi-channel opportunistic communication system and its
scaling behavior with respect to the number of channels. These results apply to
cognitive radio networks, opportunistic transmission in fading environments,
and resource-constrained jamming and anti-jamming.
| cs.NI | we consider a multichannel opportunistic communication system where the states of these channels evolve as independent and statistically identical markov chains the gilbertelliot channel model a user chooses one channel to sense and access in each slot and collects a reward determined by the state of the chosen channel the problem is to design a sensing policy for channel selection to maximize the average reward which can be formulated as a multiarm restless bandit process in this paper we study the structure optimality and performance of the myopic sensing policy we show that the myopic sensing policy has a simple robust structure that reduces channel selection to a roundrobin procedure and obviates the need for knowing the channel transition probabilities the optimality of this simple policy is established for the twochannel case and conjectured for the general case based on numerical results the performance of the myopic sensing policy is analyzed which based on the optimality of myopic sensing characterizes the maximum throughput of a multichannel opportunistic communication system and its scaling behavior with respect to the number of channels these results apply to cognitive radio networks opportunistic transmission in fading environments and resourceconstrained jamming and antijamming | [['we', 'consider', 'a', 'multichannel', 'opportunistic', 'communication', 'system', 'where', 'the', 'states', 'of', 'these', 'channels', 'evolve', 'as', 'independent', 'and', 'statistically', 'identical', 'markov', 'chains', 'the', 'gilbertelliot', 'channel', 'model', 'a', 'user', 'chooses', 'one', 'channel', 'to', 'sense', 'and', 'access', 'in', 'each', 'slot', 'and', 'collects', 'a', 'reward', 'determined', 'by', 'the', 'state', 'of', 'the', 'chosen', 'channel', 'the', 'problem', 'is', 'to', 'design', 'a', 'sensing', 'policy', 'for', 'channel', 'selection', 'to', 'maximize', 'the', 'average', 'reward', 'which', 'can', 'be', 'formulated', 'as', 'a', 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'respect', 'to', 'the', 'number', 'of', 'channels', 'these', 'results', 'apply', 'to', 'cognitive', 'radio', 'networks', 'opportunistic', 'transmission', 'in', 'fading', 'environments', 'and', 'resourceconstrained', 'jamming', 'and', 'antijamming']] | [-0.1864752965780722, 0.03162690761220183, -0.07940200294089045, 0.022998919102780565, -0.08659164490518609, -0.24832057983137024, 0.15785976687060943, 0.4428788940729526, -0.2968677862637161, -0.24538507403097906, 0.12597131516919163, -0.20420071376289056, -0.19533780142003057, 0.11411389113678053, -0.13593739092463467, 0.09228621500746352, 0.04818749548465505, 0.07093232481735688, 0.0016469210811753563, -0.23104988975417304, 0.288583301482864, 0.1220014530711519, 0.3429294553866638, -0.012030273420632188, 0.09593114266077502, 0.07078107941995002, 0.019544506714996045, -0.030827076800715954, -0.1095307672147073, 0.05270472728927397, 0.31126369726383196, 0.1700788859628022, 0.30980691397184423, -0.3808149741395249, -0.2366076799459415, 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712.0036 | Distributed delays stabilize neural feedback systems | We consider the effect of distributed delays in neural feedback systems. The
avian optic tectum is reciprocally connected with the nucleus isthmi.
Extracellular stimulation combined with intracellular recordings reveal a range
of signal delays from 4 to 9 ms between isthmotectal elements. This observation
together with prior mathematical analysis concerning the influence of a delay
distribution on system dynamics raises the question whether a broad delay
distribution can impact the dynamics of neural feedback loops. For a system of
reciprocally connected model neurons, we found that distributed delays enhance
system stability in the following sense. With increased distribution of delays,
the system converges faster to a fixed point and converges slower toward a
limit cycle. Further, the introduction of distributed delays leads to an
increased range of the average delay value for which the system's equilibrium
point is stable. The enhancement of stability with increasing delay
distribution is caused by the introduction of smaller delays rather than the
distribution per se.
| physics.bio-ph q-bio.NC | we consider the effect of distributed delays in neural feedback systems the avian optic tectum is reciprocally connected with the nucleus isthmi extracellular stimulation combined with intracellular recordings reveal a range of signal delays from 4 to 9 ms between isthmotectal elements this observation together with prior mathematical analysis concerning the influence of a delay distribution on system dynamics raises the question whether a broad delay distribution can impact the dynamics of neural feedback loops for a system of reciprocally connected model neurons we found that distributed delays enhance system stability in the following sense with increased distribution of delays the system converges faster to a fixed point and converges slower toward a limit cycle further the introduction of distributed delays leads to an increased range of the average delay value for which the systems equilibrium point is stable the enhancement of stability with increasing delay distribution is caused by the introduction of smaller delays rather than the distribution per se | [['we', 'consider', 'the', 'effect', 'of', 'distributed', 'delays', 'in', 'neural', 'feedback', 'systems', 'the', 'avian', 'optic', 'tectum', 'is', 'reciprocally', 'connected', 'with', 'the', 'nucleus', 'isthmi', 'extracellular', 'stimulation', 'combined', 'with', 'intracellular', 'recordings', 'reveal', 'a', 'range', 'of', 'signal', 'delays', 'from', '4', 'to', '9', 'ms', 'between', 'isthmotectal', 'elements', 'this', 'observation', 'together', 'with', 'prior', 'mathematical', 'analysis', 'concerning', 'the', 'influence', 'of', 'a', 'delay', 'distribution', 'on', 'system', 'dynamics', 'raises', 'the', 'question', 'whether', 'a', 'broad', 'delay', 'distribution', 'can', 'impact', 'the', 'dynamics', 'of', 'neural', 'feedback', 'loops', 'for', 'a', 'system', 'of', 'reciprocally', 'connected', 'model', 'neurons', 'we', 'found', 'that', 'distributed', 'delays', 'enhance', 'system', 'stability', 'in', 'the', 'following', 'sense', 'with', 'increased', 'distribution', 'of', 'delays', 'the', 'system', 'converges', 'faster', 'to', 'a', 'fixed', 'point', 'and', 'converges', 'slower', 'toward', 'a', 'limit', 'cycle', 'further', 'the', 'introduction', 'of', 'distributed', 'delays', 'leads', 'to', 'an', 'increased', 'range', 'of', 'the', 'average', 'delay', 'value', 'for', 'which', 'the', 'systems', 'equilibrium', 'point', 'is', 'stable', 'the', 'enhancement', 'of', 'stability', 'with', 'increasing', 'delay', 'distribution', 'is', 'caused', 'by', 'the', 'introduction', 'of', 'smaller', 'delays', 'rather', 'than', 'the', 'distribution', 'per', 'se']] | [-0.19641578239679802, 0.1268923131146039, -0.051721303892554714, -0.007872119527019095, -0.0008933985185649362, -0.14809602703317068, 0.09597802945427247, 0.3689687735924963, -0.2881153623049613, -0.2994210737233516, 0.0778552096351632, -0.28662502256629524, -0.15769993302528745, 0.16877533867955208, -0.08355657712381799, 0.009568499325541779, 0.08740036637173035, 0.04088337000721367, -0.028747731451585424, -0.21053812318073142, 0.2847349285933888, 0.08887708710390144, 0.2816560417551955, -0.002122665589195094, 0.11486372698273044, -0.005380287741718348, -0.018002999722375533, -0.0074942932042176835, -0.048530551408885, 0.10010776350391097, 0.1857702773530036, 0.10975449636462145, 0.2989361839107005, -0.42802667288051455, -0.2646382104772783, 0.12558666574841482, 0.1663805553864222, 0.08737738947020261, -0.028558629724284402, -0.26322456715861337, 0.0809954063515761, -0.15439049166016047, -0.13385397203674074, 0.050825676694512364, 0.061969181877793746, 0.08886592181472679, -0.2625483562296722, 0.10413592545082792, 0.04552433312055655, 0.06339314175129403, -0.07666204481975, -0.06189458781445865, -0.0076263061258941885, 0.15662198494246696, 0.02705849729827605, 0.03139150333008729, 0.1794717436285282, -0.12112071517840377, -0.08185348239640007, 0.33119163602459595, -0.06539063118007107, -0.15489480243995785, 0.1583070366294123, -0.11477875131822657, -0.08792919049737975, 0.19135440478275995, 0.2213214757037349, 0.0719736275699688, -0.1321814469542005, -0.018017874285942526, 0.028306657512439416, 0.24700259340061165, 0.04314722538983915, 0.04054662672424456, 0.17146587180614006, 0.23326751996901293, 0.10822058253106662, 0.12654733451199718, -0.06886556421086425, -0.15005564417806455, -0.24280270545277743, -0.10093953092182346, -0.10252327991474885, 0.08109893723230925, -0.1056777878925459, -0.12166834216332063, 0.3815568806894589, 0.14958570836752189, 0.21614372175827157, 0.10072867617200246, 0.2664271104033105, 0.14077467582537792, 0.039751934303285455, 0.05444263586250599, 0.21728043326875196, 0.14523382611369015, 0.14282152981613763, -0.2710320986356237, 0.1200859386328375, -0.008959633106132969] |
712.0037 | Comparative study of strong coupling theories of a trapped Fermi gas at
unitarity | We present a systematic comparison of the most recent thermodynamic
measurements of a trapped Fermi gas at unitarity with predictions from strong
coupling theories and quantum Monte Carlo (MC) simulations. The accuracy of the
experimental data, of the order of a few percent, allows a precise test of
different many-body approaches. We find that a Nozieres and Schmitt-Rink
treatment of fluctuations is in excellent agreement with the experimental data
and available MC calculations at unitarity.
| cond-mat.stat-mech cond-mat.supr-con | we present a systematic comparison of the most recent thermodynamic measurements of a trapped fermi gas at unitarity with predictions from strong coupling theories and quantum monte carlo mc simulations the accuracy of the experimental data of the order of a few percent allows a precise test of different manybody approaches we find that a nozieres and schmittrink treatment of fluctuations is in excellent agreement with the experimental data and available mc calculations at unitarity | [['we', 'present', 'a', 'systematic', 'comparison', 'of', 'the', 'most', 'recent', 'thermodynamic', 'measurements', 'of', 'a', 'trapped', 'fermi', 'gas', 'at', 'unitarity', 'with', 'predictions', 'from', 'strong', 'coupling', 'theories', 'and', 'quantum', 'monte', 'carlo', 'mc', 'simulations', 'the', 'accuracy', 'of', 'the', 'experimental', 'data', 'of', 'the', 'order', 'of', 'a', 'few', 'percent', 'allows', 'a', 'precise', 'test', 'of', 'different', 'manybody', 'approaches', 'we', 'find', 'that', 'a', 'nozieres', 'and', 'schmittrink', 'treatment', 'of', 'fluctuations', 'is', 'in', 'excellent', 'agreement', 'with', 'the', 'experimental', 'data', 'and', 'available', 'mc', 'calculations', 'at', 'unitarity']] | [-0.11245256360076988, 0.11187128623947501, -0.11123670828218261, 0.077619587383233, 0.012235282201630374, -0.11856706911697984, 0.1090271120145917, 0.33769436647494633, -0.154459628451926, -0.32394104267160095, 0.038544706030127905, -0.3828005336630546, -0.028269589139769475, 0.20416396411446233, 0.059769564629532396, 0.14579112849663944, 0.1502854971215129, -0.018332061705489955, -0.1722481387993321, -0.20325256529885033, 0.24190080715343357, 0.14548286576289685, 0.2726647376889984, 0.09674415679027637, 0.07885501392496129, -0.009956030537529538, -0.01647852309048176, 0.046331034414470194, -0.20624276494966276, 0.12981207938864828, 0.2465824718241735, 0.02606167891373237, 0.22950729073335727, -0.4545245099316041, -0.19543895424654087, 0.011113984156399965, 0.10209331990530093, 0.19488615095615386, -0.07558782419810693, -0.27304813894132773, 0.004761278966131309, -0.212013101875782, -0.11953955329954624, -0.12888293718298277, -0.07204155088712771, -0.011830726445962985, -0.277959105198582, 0.13889523834067707, -0.05872534456352393, 0.11597865849956482, -0.017594416524128367, -0.10119516003876924, 0.01789209662626187, 0.08020212283513198, 0.03699220362585038, 0.06411631577958664, 0.11475635423014562, -0.14228156951566537, -0.12128933564138909, 0.3927327530272305, -0.07012279026986411, -0.10472357557465632, 0.24769237838685512, -0.1859941377614935, -0.16280707081779838, 0.12461842209100724, 0.09771779554585616, 0.0789606374502182, -0.14147143151611088, 0.09533620869508014, -0.04067369982600212, 0.17164144765585662, -0.02714280897130569, -0.003639707727609978, 0.20123186506330967, 0.1945394783715407, -0.0643798150246342, 0.0797996245821317, -0.13437119707465173, -0.14878526389598845, -0.3529381213833888, -0.10650289120773475, -0.17269280622402827, 0.03189276981167495, -0.1202461576021354, -0.13401153369729096, 0.34565312149003147, 0.24898335819443068, 0.18051501754671334, 0.051588469898949066, 0.3192208865036567, 0.06513376073135684, 0.0528649607549111, 0.03617421441401045, 0.2888502965370814, 0.14552587036043405, 0.03738484824697177, -0.2733486033137888, 0.033966705412603916, 0.005089813328037659] |
712.0038 | Transition form factors of the N*(1535) as a dynamically generated
resonance | We discuss how electromagnetic properties provide useful tests of the nature
of resonances, and we study these properties for the N*(1535) which appears
dynamically generated from the strong interaction of mesons and baryons. Within
this coupled channel chiral unitary approach, we evaluate the A_1/2 and S_1/2
helicity amplitudes as a function of Q^2 for the electromagnetic N*(1535) to
gamma* N transition. Within the same formalism we evaluate the cross section
for the reactions gamma N to eta N. We find a fair agreement for the absolute
values of the transition amplitudes, as well as for the Q^2 dependence of the
amplitudes, within theoretical and experimental uncertainties discussed in the
paper. The ratios obtained between the S_1/2 and A_1/2 for the neutron or
proton states of the N*(1535) are in qualitative agreement with experiment and
there is agreement on the signs. The same occurs for the ratio of cross
sections for the eta photoproduction on neutron and proton targets in the
vicinity of the N*(1535) energy. The global results support the idea of this
resonance as being dynamically generated, hence, largely built up from meson
baryon components. However, the details of the model indicate that an admixture
with a genuine quark state is also demanded that could help obtain a better
agreement with experimental data.
| nucl-th | we discuss how electromagnetic properties provide useful tests of the nature of resonances and we study these properties for the n1535 which appears dynamically generated from the strong interaction of mesons and baryons within this coupled channel chiral unitary approach we evaluate the a_12 and s_12 helicity amplitudes as a function of q2 for the electromagnetic n1535 to gamma n transition within the same formalism we evaluate the cross section for the reactions gamma n to eta n we find a fair agreement for the absolute values of the transition amplitudes as well as for the q2 dependence of the amplitudes within theoretical and experimental uncertainties discussed in the paper the ratios obtained between the s_12 and a_12 for the neutron or proton states of the n1535 are in qualitative agreement with experiment and there is agreement on the signs the same occurs for the ratio of cross sections for the eta photoproduction on neutron and proton targets in the vicinity of the n1535 energy the global results support the idea of this resonance as being dynamically generated hence largely built up from meson baryon components however the details of the model indicate that an admixture with a genuine quark state is also demanded that could help obtain a better agreement with experimental data | [['we', 'discuss', 'how', 'electromagnetic', 'properties', 'provide', 'useful', 'tests', 'of', 'the', 'nature', 'of', 'resonances', 'and', 'we', 'study', 'these', 'properties', 'for', 'the', 'n1535', 'which', 'appears', 'dynamically', 'generated', 'from', 'the', 'strong', 'interaction', 'of', 'mesons', 'and', 'baryons', 'within', 'this', 'coupled', 'channel', 'chiral', 'unitary', 'approach', 'we', 'evaluate', 'the', 'a_12', 'and', 's_12', 'helicity', 'amplitudes', 'as', 'a', 'function', 'of', 'q2', 'for', 'the', 'electromagnetic', 'n1535', 'to', 'gamma', 'n', 'transition', 'within', 'the', 'same', 'formalism', 'we', 'evaluate', 'the', 'cross', 'section', 'for', 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'meson', 'baryon', 'components', 'however', 'the', 'details', 'of', 'the', 'model', 'indicate', 'that', 'an', 'admixture', 'with', 'a', 'genuine', 'quark', 'state', 'is', 'also', 'demanded', 'that', 'could', 'help', 'obtain', 'a', 'better', 'agreement', 'with', 'experimental', 'data']] | [-0.09339882306228, 0.18899848526535462, -0.07481078274556757, 0.11577092484292513, -0.013881857992176002, -0.06282528189786657, 0.07758219314523686, 0.3452964705397662, -0.17941096304071563, -0.2691017454359506, -0.02928618428451836, -0.3094095148442087, -0.07377164591338799, 0.16954350273699334, 0.07934872038492706, 0.07537760605953174, 0.06986367807747518, 0.08440759191498982, -0.05499210945226113, -0.1460352085300103, 0.3445740791220462, 0.04307253353698092, 0.2418019223966958, 0.12358526913253329, 0.03358586858490169, 0.02205521293815713, 0.004650985007990308, -0.053508216669678546, -0.12867049850714143, 0.07788871402637902, 0.25870986031607734, 0.07241997423703635, 0.12159886989942709, 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712.0039 | Dynamical coupled-channels: the key to understanding resonances | Recent developments on a dynamical coupled-channels model of hadronic and
electromagnetic production of nucleon resonances are summarized.
| nucl-th | recent developments on a dynamical coupledchannels model of hadronic and electromagnetic production of nucleon resonances are summarized | [['recent', 'developments', 'on', 'a', 'dynamical', 'coupledchannels', 'model', 'of', 'hadronic', 'and', 'electromagnetic', 'production', 'of', 'nucleon', 'resonances', 'are', 'summarized']] | [-0.08400948979782269, 0.28360134428914857, -0.11002462976338233, 0.08647950738668442, -0.06388039788340821, -0.025356506552163732, -0.024479605504037702, 0.3057587238795617, -0.10624012044247459, -0.194049733088297, -0.08679044290500529, -0.3852836971773821, -0.10675757816609215, 0.09709803188931854, 0.11972315549193059, 0.20789325368755004, 0.16823881355059497, 0.03715852223446264, 0.021496922270778346, -0.1308278112727053, 0.34946973112357016, 0.02516382105429383, 0.1138240949195974, 0.25468009589787793, 0.024372057989239693, 0.07074253524050993, -0.10799405727576573, -0.12000090157722726, -0.09963104139794321, 0.1417852942557896, 0.21376047480632276, 0.08517253544072018, 0.08600115789757933, -0.45740991480210247, -0.24878107865943627, -0.014556697186301737, 0.17493671669131694, 0.152392249499612, -0.10257742135538994, -0.38022053767653075, 0.03051236869000337, -0.27553294862017913, -0.11500480803934966, -0.1415095998728408, -0.004247582681915339, 0.06561206379795775, -0.27923478646313443, 0.06359303696081042, -0.051463556676240196, 0.063126585980439, -0.06375648093628972, -0.30692841578274965, 0.03188567794859409, -0.035460873774033695, 0.10323395973811035, 0.11328067871577599, 0.28164340051658016, -0.16834438838722074, -0.2420547005330103, 0.4361967251581304, 0.005422599647906335, -0.13904405322254582, 0.15225601492120938, -0.13881111627115922, -0.21403667070519397, 0.13680370732703628, 0.32135450423640366, 0.04418526063947117, -0.2516361742883044, 0.11142646992127136, -0.016635296208893553, 0.09769832535975558, 0.014834377887275289, 0.13644772899501464, 0.22226842739345395, 0.3084923643618822, -0.21073290322195082, -0.0397095415083801, 0.0033164166379719973, -0.16893218457698822, -0.421210842754911, -0.006430257111787796, -0.0814768691711566, 0.07740379738457062, 0.02237074402578668, -0.07496103293755475, 0.45339142366805496, 0.03736249067108421, 0.2109098077258643, -0.05251344260485733, 0.34794360706034827, 0.09445216556024902, -0.002221276326214566, -0.0005146895042237113, 0.37747497171820965, 0.3392408959129277, 0.1315159553607159, -0.2714902563568424, -0.035199936689904836, 0.06950049540575813] |
712.004 | Quantitative spectroscopy of Deneb | Quantitative spectroscopy of luminous BA-type supergiants offers a high
potential for modern astrophysics. The degree to which we can rely on
quantitative studies of this class of stars as a whole depends on the quality
of the analyses for benchmark objects. We constrain the basic atmospheric
parameters and fundamental stellar parameters as well as chemical abundances of
the prototype A-type supergiant Deneb to unprecedented accuracy (Teff = 8525
+/- 75 K, log(g) = 1.10 +/- 0.05 dex, M_spec = 19 +/- 3 M_sun, L = 1.96 +/-
0.32 *10^5 L_sun, R = 203 +/- 17 R_sun, enrichment with CN-processed matter) by
applying a sophisticated hybrid NLTE spectrum synthesis technique which has
recently been developed and tested. The study is based on a high-resolution and
high-S/N spectrum obtained with the Echelle spectrograph FOCES on the Calar
Alto 2.2m telescope. Practically all inconsistencies reported in earlier
studies are resolved. Multiple metal ionization equilibria and numerous
hydrogen lines from the Balmer, Paschen, Brackett and Pfund series are brought
into match simultaneously for the stellar parameter determination. Stellar wind
properties are derived from H_alpha line-profile fitting using line-blanketed
hydrodynamic non-LTE models. A self-consistent view of Deneb is thus obtained,
allowing us to discuss its evolutionary state in detail by comparison with the
most recent generation of evolution models for massive stars. (abridged)
| astro-ph | quantitative spectroscopy of luminous batype supergiants offers a high potential for modern astrophysics the degree to which we can rely on quantitative studies of this class of stars as a whole depends on the quality of the analyses for benchmark objects we constrain the basic atmospheric parameters and fundamental stellar parameters as well as chemical abundances of the prototype atype supergiant deneb to unprecedented accuracy teff 8525 75 k logg 110 005 dex m_spec 19 3 m_sun l 196 032 105 l_sun r 203 17 r_sun enrichment with cnprocessed matter by applying a sophisticated hybrid nlte spectrum synthesis technique which has recently been developed and tested the study is based on a highresolution and highsn spectrum obtained with the echelle spectrograph foces on the calar alto 22m telescope practically all inconsistencies reported in earlier studies are resolved multiple metal ionization equilibria and numerous hydrogen lines from the balmer paschen brackett and pfund series are brought into match simultaneously for the stellar parameter determination stellar wind properties are derived from h_alpha lineprofile fitting using lineblanketed hydrodynamic nonlte models a selfconsistent view of deneb is thus obtained allowing us to discuss its evolutionary state in detail by comparison with the most recent generation of evolution models for massive stars abridged | [['quantitative', 'spectroscopy', 'of', 'luminous', 'batype', 'supergiants', 'offers', 'a', 'high', 'potential', 'for', 'modern', 'astrophysics', 'the', 'degree', 'to', 'which', 'we', 'can', 'rely', 'on', 'quantitative', 'studies', 'of', 'this', 'class', 'of', 'stars', 'as', 'a', 'whole', 'depends', 'on', 'the', 'quality', 'of', 'the', 'analyses', 'for', 'benchmark', 'objects', 'we', 'constrain', 'the', 'basic', 'atmospheric', 'parameters', 'and', 'fundamental', 'stellar', 'parameters', 'as', 'well', 'as', 'chemical', 'abundances', 'of', 'the', 'prototype', 'atype', 'supergiant', 'deneb', 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712.0041 | Observational approaches to understanding dark energy | Illuminating the nature of dark energy is one of the most important
challenges in cosmology today. In this review I discuss several promising
observational approaches to understanding dark energy, in the context of the
recommendations by the U.S. Dark Energy Task Force and the ESA-ESO Working
Group on Fundamental Cosmology.
| astro-ph hep-ph | illuminating the nature of dark energy is one of the most important challenges in cosmology today in this review i discuss several promising observational approaches to understanding dark energy in the context of the recommendations by the us dark energy task force and the esaeso working group on fundamental cosmology | [['illuminating', 'the', 'nature', 'of', 'dark', 'energy', 'is', 'one', 'of', 'the', 'most', 'important', 'challenges', 'in', 'cosmology', 'today', 'in', 'this', 'review', 'i', 'discuss', 'several', 'promising', 'observational', 'approaches', 'to', 'understanding', 'dark', 'energy', 'in', 'the', 'context', 'of', 'the', 'recommendations', 'by', 'the', 'us', 'dark', 'energy', 'task', 'force', 'and', 'the', 'esaeso', 'working', 'group', 'on', 'fundamental', 'cosmology']] | [-0.11831188612446493, 0.05593412848455565, -0.10156319692388785, 0.1506567550668664, -0.14969880662250276, -0.11710219111825738, -0.019557560204851384, 0.3168728950680519, -0.23616678422858597, -0.3988953155218338, 0.07217711079343013, -0.2376527883616105, -0.0722034716484498, 0.230192721992427, -0.05555252479959508, 0.0041519816399418884, 0.023147593157327905, 0.04513766384702556, 0.01906121782578376, -0.2462970992094096, 0.35771640756034423, 0.13346985183960322, 0.28802146231494274, 0.07952252049854368, 0.05218329052535855, -0.037455700570717454, -0.10625287232806488, -0.06795950712902206, -0.19222090260258742, 0.15914168488234282, 0.2829009083916946, 0.1388382744329164, 0.330186997877662, -0.4325823974320475, -0.23980805671260674, 0.11551069472061128, 0.12453854870174688, 0.09594986241843019, -0.11852636020297982, -0.2728328260840202, -0.018999651977222184, -0.15052030528230326, -0.11825818193088077, -0.022491396228100972, 0.007301816222619037, -0.017423709189253195, -0.09308965511772098, 0.08063418311732155, -0.043390976452020384, -0.06647674701347643, -0.09617226406437707, -0.1388384589298191, 0.07162256949410147, 0.0842665328967328, 0.13654639066567606, -0.003949887014697401, 0.15952114270505857, -0.2695460347221138, -0.10476102316942142, 0.48794996191044243, -0.05430520128230659, -0.10780002269893885, 0.18974864477177664, -0.12010624695911395, -0.21901385949886576, 0.03665629128108219, 0.12664555123417962, 0.022780564822712724, -0.1528613134097232, 0.11290840422425762, 0.023678741208752806, 0.13825327705363838, 0.022366586179301446, 0.05970182995863107, 0.3534654031830783, 0.25995128869782297, 0.049017563709342966, 0.021153493423242957, -0.06344346948709263, -0.09946105722337961, -0.3364671013337009, -0.19042294464853346, -0.1438905616309874, 0.03225809177953978, -0.07966719631418082, -0.06500048821373862, 0.4292845689520544, 0.22224687457996972, 0.13228250329135632, -0.08392159714617728, 0.376011748094948, 0.015065738104511889, 0.018208166878974558, 0.041596548602089514, 0.2998272802357619, 0.11778179241097247, 0.13614952342812808, -0.21332010924245934, -0.027619342676040774, -0.008653179742395878] |
712.0042 | On the Mutual Information Distribution of OFDM-Based Spatial
Multiplexing: Exact Variance and Outage Approximation | This paper considers the distribution of the mutual information of
frequency-selective spatially-uncorrelated Rayleigh fading MIMO channels.
Results are presented for OFDM-based spatial multiplexing. New exact
closed-form expressions are derived for the variance of the mutual information.
In contrast to previous results, our new expressions apply for systems with
both arbitrary numbers of antennas and arbitrary-length channels. Simplified
expressions are also presented for high and low SNR regimes. The analytical
variance results are used to provide accurate analytical approximations for the
distribution of the mutual information and the outage capacity.
| cs.IT math.IT | this paper considers the distribution of the mutual information of frequencyselective spatiallyuncorrelated rayleigh fading mimo channels results are presented for ofdmbased spatial multiplexing new exact closedform expressions are derived for the variance of the mutual information in contrast to previous results our new expressions apply for systems with both arbitrary numbers of antennas and arbitrarylength channels simplified expressions are also presented for high and low snr regimes the analytical variance results are used to provide accurate analytical approximations for the distribution of the mutual information and the outage capacity | [['this', 'paper', 'considers', 'the', 'distribution', 'of', 'the', 'mutual', 'information', 'of', 'frequencyselective', 'spatiallyuncorrelated', 'rayleigh', 'fading', 'mimo', 'channels', 'results', 'are', 'presented', 'for', 'ofdmbased', 'spatial', 'multiplexing', 'new', 'exact', 'closedform', 'expressions', 'are', 'derived', 'for', 'the', 'variance', 'of', 'the', 'mutual', 'information', 'in', 'contrast', 'to', 'previous', 'results', 'our', 'new', 'expressions', 'apply', 'for', 'systems', 'with', 'both', 'arbitrary', 'numbers', 'of', 'antennas', 'and', 'arbitrarylength', 'channels', 'simplified', 'expressions', 'are', 'also', 'presented', 'for', 'high', 'and', 'low', 'snr', 'regimes', 'the', 'analytical', 'variance', 'results', 'are', 'used', 'to', 'provide', 'accurate', 'analytical', 'approximations', 'for', 'the', 'distribution', 'of', 'the', 'mutual', 'information', 'and', 'the', 'outage', 'capacity']] | [-0.2254192651228302, 0.024443469590055014, -0.04392959559547969, 0.09703521154138302, -0.04271094498108141, -0.19652468732304193, 0.05868754063769963, 0.36417496714486997, -0.17057799878106875, -0.2540861696523445, 0.09930244222976564, -0.26187249418051745, -0.1770279505369465, 0.22406722567658025, -0.08431038160977716, 0.08505022231904812, 0.04437440157264725, 0.03427714911396668, -0.04562644023363563, -0.23324246266698043, 0.2652725660432638, 0.12431431193412705, 0.35883579149164935, 0.051947798960926855, 0.10588059904561802, 0.038455338100902736, -0.06126795717599717, -0.057450439389371735, -0.20324503052556378, 0.13330075261183083, 0.3133482222487642, 0.17197837124827361, 0.1631896798922257, -0.40714503883976827, -0.26708107234232803, 0.028893421933885707, 0.21896968098272654, 0.11843337292190302, -0.04704863687617366, -0.27485754404386337, 0.10070173840292475, -0.23153158255048434, -0.059126964897256, -0.058571379811672326, -0.026571278375658123, 0.11974754400911149, -0.4033150017600168, 0.1203833771892691, 0.026325107996606013, 0.050436800194967706, -0.054333695692052555, -0.2091133327392692, 0.071208890900545, 0.21212874161375855, 0.029316686517135662, -0.12570867665106727, 0.03510228155011481, -0.10865257948965089, -0.07648675065667537, 0.2937706345798109, -0.02883121010117148, -0.3035931403071366, 0.169508372676236, -0.15744711931339142, -0.052405597573273226, 0.19484264674511823, 0.24416147776752373, 0.08592059997714717, -0.21408203174889257, -0.003496979438998758, -0.0026134458180008964, 0.10637152927335013, 0.06543263688217849, 0.1855444075031714, 0.1486912528873125, 0.09333298352165995, 0.033254962213422085, 0.17817462392056108, -0.14447145409543405, -0.14834170734552157, -0.2672755516515198, -0.13310749067336888, -0.20883315729654647, -0.06566918292082846, -0.16027148185375237, -0.07103928932073442, 0.31462650594767183, 0.17324143958037233, 0.12772682926681062, 0.20707338017316282, 0.401148325170983, 0.17250951687244445, -0.040167905295013705, 0.09894951690115374, 0.20488382889148357, 0.19645099273607644, 0.0981553761203858, -0.18831254258773036, 0.05802859374406663, -0.03216209006495774] |
712.0043 | Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String
Theory on T^6 | For heterotic string theory compactified on T^6, we derive the complete set
of T-duality invariants which characterize a pair of charge vectors (Q,P)
labelling the electric and magnetic charges of the dyon. Using this we can
identify the complete set of dyons to which the previously derived degeneracy
formula can be extended. By going near special points in the moduli space of
the theory we derive the spectrum of quarter BPS dyons in N=4 supersymmetric
gauge theory with simply laced gauge groups. The results are in agreement with
those derived from field theory analysis.
| hep-th | for heterotic string theory compactified on t6 we derive the complete set of tduality invariants which characterize a pair of charge vectors qp labelling the electric and magnetic charges of the dyon using this we can identify the complete set of dyons to which the previously derived degeneracy formula can be extended by going near special points in the moduli space of the theory we derive the spectrum of quarter bps dyons in n4 supersymmetric gauge theory with simply laced gauge groups the results are in agreement with those derived from field theory analysis | [['for', 'heterotic', 'string', 'theory', 'compactified', 'on', 't6', 'we', 'derive', 'the', 'complete', 'set', 'of', 'tduality', 'invariants', 'which', 'characterize', 'a', 'pair', 'of', 'charge', 'vectors', 'qp', 'labelling', 'the', 'electric', 'and', 'magnetic', 'charges', 'of', 'the', 'dyon', 'using', 'this', 'we', 'can', 'identify', 'the', 'complete', 'set', 'of', 'dyons', 'to', 'which', 'the', 'previously', 'derived', 'degeneracy', 'formula', 'can', 'be', 'extended', 'by', 'going', 'near', 'special', 'points', 'in', 'the', 'moduli', 'space', 'of', 'the', 'theory', 'we', 'derive', 'the', 'spectrum', 'of', 'quarter', 'bps', 'dyons', 'in', 'n4', 'supersymmetric', 'gauge', 'theory', 'with', 'simply', 'laced', 'gauge', 'groups', 'the', 'results', 'are', 'in', 'agreement', 'with', 'those', 'derived', 'from', 'field', 'theory', 'analysis']] | [-0.14244747971075566, 0.14582923035870524, -0.06433943611510257, 0.12413770437087031, -0.06748335337405034, -0.12544956671611524, 0.04763617025232537, 0.2997320047852167, -0.16858010259060624, -0.30858070497460505, 0.041206093477778774, -0.2709146646034725, -0.1388044141807613, 0.14632787777883735, -0.08123630187176961, -0.020955072983386034, -0.02243822527444981, 0.0866741914738049, -0.1196235413167705, -0.27677845055277045, 0.3369239865445552, -0.05232525224539828, 0.2701594253328252, 0.016727295733909023, 0.040958799976617735, 0.04102757112172611, -0.008104242552864425, 0.03174606694789118, -0.1546958792394899, 0.16187734280693086, 0.25002932974305797, 0.04828317332616512, 0.047721835967906294, -0.4465927595391552, -0.2017216091242401, 0.09720228984951973, 0.18358701672107774, 0.16972648600076742, 0.011935901812010227, -0.3000362819219206, 0.09832528948615443, -0.14563338172205903, -0.18908463742217405, -0.0991337016135692, -0.005249592266293203, -0.018741877323531723, -0.2184533011812241, 0.028859431322842362, -0.014632355897350515, 0.08145730081014335, -0.09870598588802634, -0.09940789811600476, -0.11758202201429199, 0.09348168223848606, 0.10350723358544897, 0.08218472108165635, 0.12210397813171942, -0.163269527756827, -0.1595180891355143, 0.3470492430496961, -0.051208924561580445, -0.2142900288392334, 0.08970555727013406, -0.17089526139155148, -0.16938191783079443, 0.12862640799721703, 0.07313201184126925, 0.1698638638382421, -0.11539670466903616, 0.21006381026149648, -0.0989305208774006, 0.10483059152326685, 0.08904624781373174, 0.04322354225966611, 0.2795230610434838, 0.06317436086766898, 0.019442813589851907, 0.15055368846762887, -0.03044933019988635, -0.09853898965694169, -0.4337448562257626, -0.10878754203936006, -0.1272734404799152, 0.12496606318126531, -0.12340380395053603, -0.18753484225623865, 0.3845655646749792, 0.08844281975774372, 0.15700230992676573, 0.06445056573794956, 0.15927297809716076, 0.14343392460370447, 0.07459225909204836, 0.035783695800111016, 0.2080420820423937, 0.20482506479404153, 0.04297426046228948, -0.2321567281936989, -0.18823412580891175, 0.24039679392181496] |
712.0044 | Quantum Statistical Transition | By analyzing the BCS-BEC crossover, I found that because of the pairing
interactions,a continuous family of quantum statistics interpolating between
fermions and bosons is possible, although it seems incapable to construct
reasonable wave function.
| cond-mat.stat-mech cond-mat.str-el | by analyzing the bcsbec crossover i found that because of the pairing interactionsa continuous family of quantum statistics interpolating between fermions and bosons is possible although it seems incapable to construct reasonable wave function | [['by', 'analyzing', 'the', 'bcsbec', 'crossover', 'i', 'found', 'that', 'because', 'of', 'the', 'pairing', 'interactionsa', 'continuous', 'family', 'of', 'quantum', 'statistics', 'interpolating', 'between', 'fermions', 'and', 'bosons', 'is', 'possible', 'although', 'it', 'seems', 'incapable', 'to', 'construct', 'reasonable', 'wave', 'function']] | [-0.13205783575882807, 0.2326413046787767, -0.09098722220069784, 0.16665860946523026, -0.06397275084300953, -0.22356925066560507, 0.060836235972066575, 0.31652254745473757, -0.22774868863908684, -0.22429808168945944, -0.04207269617301576, -0.2637496187406428, -0.1608404660707011, 0.15179616544286118, 0.0726737457272761, 0.08485007176504415, -0.005222236463690505, -0.032740615801337886, -0.11548445689978133, -0.22946920399280155, 0.3939796525382382, -0.0045938398038475395, 0.3262798823416233, 0.06046517494627658, 0.0735120081123622, 0.003061283667407492, 0.012190222082769169, -0.05518618343493847, -0.12198982563880717, 0.05145283196778858, 0.3105041052981773, 0.04596290896263193, 0.2045148011735257, -0.34722807658288407, -0.19826691825052395, 0.1368858576478327, 0.19553435686975718, 0.12039003488333787, -0.014522864346337669, -0.2982592311249498, -0.0015103859854314256, -0.18404070402988615, -0.15826452768626897, -0.15276778944055824, 0.08942265192265897, -0.013754445128142834, -0.26152650210732487, 0.11076433192390729, 0.01928212384090704, 0.05697862625889042, 0.003322717548786279, -0.06515198140679036, -0.04045806041754344, 0.03528722124995992, 0.0856686872909503, 0.09248831054634031, 0.05253868402146241, -0.17339791880701394, -0.04749241547987742, 0.39033078531536053, -0.04548085897284396, -0.148662067758029, 0.21752607444410815, -0.14263664499637396, -0.054406932555139065, 0.1183289370554335, 0.03647236218196614, 0.02640275123036083, -0.1729064408196684, 0.0986810573907432, -0.0761383433602853, 0.1565241547410979, 0.04223480464561897, 0.05788997351191938, 0.27909802765968966, 0.08460654261494603, 0.02718076531720512, 0.11331011771279223, -0.03526684251504347, -0.20826587283826323, -0.3239179586115129, -0.12684390191262698, -0.2590474120943862, 0.037847941222186335, -0.011757577940229299, -0.17772632478462422, 0.3720208159647882, 0.1674661647309275, 0.2007379582261338, 0.02899910690372481, 0.16794020805836601, 0.13169233363998287, 0.05807236592997523, 0.05323498623500414, 0.24124507232130887, 0.1355211909120793, 0.05245970441576313, -0.25486716245958474, 0.04131562698303776, 0.06443624853101723] |
712.0045 | PT-Symmetry Quantum Electrodynamics--PTQED | The construction of $\mathcal{PT}$-symmetric quantum electrodynamics is
reviewed. In particular, the massless version of the theory in 1+1 dimensions
(the Schwinger model) is solved. Difficulties with unitarity of the $S$-matrix
are discussed.
| hep-th quant-ph | the construction of mathcalptsymmetric quantum electrodynamics is reviewed in particular the massless version of the theory in 11 dimensions the schwinger model is solved difficulties with unitarity of the smatrix are discussed | [['the', 'construction', 'of', 'mathcalptsymmetric', 'quantum', 'electrodynamics', 'is', 'reviewed', 'in', 'particular', 'the', 'massless', 'version', 'of', 'the', 'theory', 'in', '11', 'dimensions', 'the', 'schwinger', 'model', 'is', 'solved', 'difficulties', 'with', 'unitarity', 'of', 'the', 'smatrix', 'are', 'discussed']] | [-0.1446058537258068, 0.20875864964909852, -0.04622803122038022, 0.10697029546281556, -0.010466901090694591, -0.1855788229731843, -0.08537871428052313, 0.28251703520072624, -0.1474433779658284, -0.2227994953864254, 0.0678368547160062, -0.29828822330455296, -0.19119009759742767, 0.14443874672724633, -0.04973133793100715, 0.12093219076632522, 0.01165235645021312, 0.07209447195054963, -0.10005206987261772, -0.2965115096885711, 0.31529034148843493, 0.028660928404860897, 0.2467568478314206, 0.06046007151599042, 0.04985746985767037, 0.06822334103526373, 0.010621645371429622, -0.04020266642328352, -0.0770861065830104, 0.1220790100924205, 0.20887057669460773, 0.06305748160957592, 0.16885413392446935, -0.41731585349771194, -0.21353023006577132, -0.01733462062838953, 0.1401636585505912, 0.17816199642038555, -0.04663780645933002, -0.31917042017448694, -0.001504362327978015, -0.15506597913918085, -0.2631488881306723, -0.016672822952386923, -0.05213270484819077, -0.1340026097605005, -0.16681692318525165, 0.08713051170343533, 0.017257553088711575, 0.02694102464010939, -0.053188688078080304, -0.07488972111605108, 0.023838387249270454, 0.006429578235838562, 0.0644784452560998, -0.0030307391862152144, 0.05639709076785948, -0.180593812110601, -0.20421967015136033, 0.45122007286408916, -0.006595093756914139, -0.2459177270065993, 0.11529801963479258, -0.1543756090250099, -0.15681416014194838, 0.06705581169444486, 0.06497780873905867, 0.08790292008779943, -0.2010862734168768, 0.2884354193229228, -0.0545129181118682, 0.08181238704128191, 0.08962724173034076, 0.034942634345497936, 0.18931060950853862, 0.14531859507405898, -0.07025020761648193, 0.1710691637126729, 0.015613538911566138, -0.2387470668181777, -0.4476921153254807, -0.1469726387085757, -0.16674112420150777, 0.05295065155951306, -0.10190639382926747, -0.1786753535270691, 0.34329881917801686, 0.18439785300870426, 0.08661888656206429, -0.009135109430644661, 0.2457991373958066, 0.2366588385648356, 0.0706281719612889, 0.03389028992387466, 0.3068780285248067, 0.24348684441065416, 0.09294417267665267, -0.26739030217868276, -0.1292736024424812, 0.19422729592042742] |
712.0046 | Taxonomy of asteroid families among the Jupiter Trojans: Comparison
between spectroscopic data and the Sloan Digital Sky Survey colors | We present a comparative analysis of the spectral slope and color
distributions of Jupiter Trojans, with particular attention to asteroid
families. We use a sample of data from the Moving Object Catalogue of the Sloan
Digital Sky Survey, together with spectra obtained from several surveys. A
first sample of 349 observations, corresponding to 250 Trojan asteroids, were
extracted from the Sloan Digital Sky Survey, and we also extracted from the
literature a second sample of 91 spectra, corresponding to 71 Trojans. The
spectral slopes were computed by means of a least-squares fit to a straight
line of the fluxes obtained from the Sloan observations in the first sample,
and of the rebinned spectra in the second sample. In both cases the reflectance
fluxes/spectra were renormalized to 1 at 6230 $\textrm{\AA}$. We found that the
distribution of spectral slopes among Trojan asteroids shows a bimodality.
About 2/3 of the objects have reddish slopes compatible with D-type asteroids,
while the remaining bodies show less reddish colors compatible with the P-type
and C-type classifications. The members of asteroid families also show a
bimodal distribution with a very slight predominance of D-type asteroids, but
the background is clearly dominated by the D-types. The L4 and L5 swarms show
different distributions of spectral slopes, and bimodality is only observed in
L4. These differences can be attributed to the asteroid families since the
backgraound asteroids show the same slope distribtuions in both swarms. The
analysis of individual families indicates that the families in L5 are
taxonomically homogeneous, but in L4 they show a mixture of taxonomic types. We
discuss a few scenarios that might help to interpret these results.
| astro-ph | we present a comparative analysis of the spectral slope and color distributions of jupiter trojans with particular attention to asteroid families we use a sample of data from the moving object catalogue of the sloan digital sky survey together with spectra obtained from several surveys a first sample of 349 observations corresponding to 250 trojan asteroids were extracted from the sloan digital sky survey and we also extracted from the literature a second sample of 91 spectra corresponding to 71 trojans the spectral slopes were computed by means of a leastsquares fit to a straight line of the fluxes obtained from the sloan observations in the first sample and of the rebinned spectra in the second sample in both cases the reflectance fluxesspectra were renormalized to 1 at 6230 textrmaa we found that the distribution of spectral slopes among trojan asteroids shows a bimodality about 23 of the objects have reddish slopes compatible with dtype asteroids while the remaining bodies show less reddish colors compatible with the ptype and ctype classifications the members of asteroid families also show a bimodal distribution with a very slight predominance of dtype asteroids but the background is clearly dominated by the dtypes the l4 and l5 swarms show different distributions of spectral slopes and bimodality is only observed in l4 these differences can be attributed to the asteroid families since the backgraound asteroids show the same slope distribtuions in both swarms the analysis of individual families indicates that the families in l5 are taxonomically homogeneous but in l4 they show a mixture of taxonomic types we discuss a few scenarios that might help to interpret these results | [['we', 'present', 'a', 'comparative', 'analysis', 'of', 'the', 'spectral', 'slope', 'and', 'color', 'distributions', 'of', 'jupiter', 'trojans', 'with', 'particular', 'attention', 'to', 'asteroid', 'families', 'we', 'use', 'a', 'sample', 'of', 'data', 'from', 'the', 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'among', 'trojan', 'asteroids', 'shows', 'a', 'bimodality', 'about', '23', 'of', 'the', 'objects', 'have', 'reddish', 'slopes', 'compatible', 'with', 'dtype', 'asteroids', 'while', 'the', 'remaining', 'bodies', 'show', 'less', 'reddish', 'colors', 'compatible', 'with', 'the', 'ptype', 'and', 'ctype', 'classifications', 'the', 'members', 'of', 'asteroid', 'families', 'also', 'show', 'a', 'bimodal', 'distribution', 'with', 'a', 'very', 'slight', 'predominance', 'of', 'dtype', 'asteroids', 'but', 'the', 'background', 'is', 'clearly', 'dominated', 'by', 'the', 'dtypes', 'the', 'l4', 'and', 'l5', 'swarms', 'show', 'different', 'distributions', 'of', 'spectral', 'slopes', 'and', 'bimodality', 'is', 'only', 'observed', 'in', 'l4', 'these', 'differences', 'can', 'be', 'attributed', 'to', 'the', 'asteroid', 'families', 'since', 'the', 'backgraound', 'asteroids', 'show', 'the', 'same', 'slope', 'distribtuions', 'in', 'both', 'swarms', 'the', 'analysis', 'of', 'individual', 'families', 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712.0047 | Effective slip boundary conditions for flows over nanoscale chemical
heterogeneities | We study slip boundary conditions for simple fluids at surfaces with
nanoscale chemical heterogeneities. Using a perturbative approach, we examine
the flow of a Newtonian fluid far from a surface described by a heterogeneous
Navier slip boundary condition. In the far-field, we obtain expressions for an
effective slip boundary condition in certain limiting cases. These expressions
are compared to numerical solutions which show they work well when applied in
the appropriate limits. The implications for experimental measurements and for
the design of surfaces that exhibit large slip lengths are discussed.
| physics.flu-dyn | we study slip boundary conditions for simple fluids at surfaces with nanoscale chemical heterogeneities using a perturbative approach we examine the flow of a newtonian fluid far from a surface described by a heterogeneous navier slip boundary condition in the farfield we obtain expressions for an effective slip boundary condition in certain limiting cases these expressions are compared to numerical solutions which show they work well when applied in the appropriate limits the implications for experimental measurements and for the design of surfaces that exhibit large slip lengths are discussed | [['we', 'study', 'slip', 'boundary', 'conditions', 'for', 'simple', 'fluids', 'at', 'surfaces', 'with', 'nanoscale', 'chemical', 'heterogeneities', 'using', 'a', 'perturbative', 'approach', 'we', 'examine', 'the', 'flow', 'of', 'a', 'newtonian', 'fluid', 'far', 'from', 'a', 'surface', 'described', 'by', 'a', 'heterogeneous', 'navier', 'slip', 'boundary', 'condition', 'in', 'the', 'farfield', 'we', 'obtain', 'expressions', 'for', 'an', 'effective', 'slip', 'boundary', 'condition', 'in', 'certain', 'limiting', 'cases', 'these', 'expressions', 'are', 'compared', 'to', 'numerical', 'solutions', 'which', 'show', 'they', 'work', 'well', 'when', 'applied', 'in', 'the', 'appropriate', 'limits', 'the', 'implications', 'for', 'experimental', 'measurements', 'and', 'for', 'the', 'design', 'of', 'surfaces', 'that', 'exhibit', 'large', 'slip', 'lengths', 'are', 'discussed']] | [-0.16312957271002232, 0.12954512926791925, -0.10114498087204993, 0.03777582756657567, -0.05131164091484, -0.17512532910332085, -0.024446064210496842, 0.3580356763468848, -0.22923470329907206, -0.2503039913484827, 0.13748829854367714, -0.21809770058219632, -0.16733627621498373, 0.2313825179098381, -0.05063449153676629, 0.1272488945060306, 0.08092661991508471, -0.008058960894898822, -0.07911766325511659, -0.16997834378336038, 0.3101301833159394, -0.011816616049165734, 0.30355308091060984, 0.12618929103223814, 0.06811757107368774, -0.046015120680547424, 0.013689754629093739, 0.10871982577452097, -0.2692627580711107, 0.03542953372105128, 0.2553857892467123, -0.033236714928514426, 0.16634919945564536, -0.49922690010733073, -0.27013339459275204, 0.03400459243574813, 0.1167475991985864, 0.15613576033954613, -0.039814887744271096, -0.2717313711014059, 0.0881907226310836, -0.10901055491736365, -0.17343555363412533, -0.06276040157924095, 0.005151728199174007, 0.05642408109528737, -0.28624063819232914, 0.11065655745300723, 0.03116395310110723, 0.11836664284475976, -0.14543026835761136, -0.08201342058471507, -0.007941717664814657, 0.10364419143653424, 0.06078467225241992, -0.07049357028315878, 0.13520749861167536, -0.19096066530586944, -0.020890207107489307, 0.40708805103268886, -0.04904760446709891, -0.2895426517688773, 0.22306868297875757, -0.12520031145152946, -0.06992113703551392, 0.13292441391903492, 0.17052023123639326, 0.1416458701611393, -0.1903446649286909, 0.03704751617632509, -0.014928379050818168, 0.07423103408267101, 0.14160761911577235, -0.03838813764870995, 0.18819897627044055, 0.16083005431573838, 0.06861461461392335, 0.150122369836188, -0.08277280159656786, -0.08625717024939755, -0.3725507308418552, -0.1575517882851677, -0.16118400297127664, 0.016035011809112296, -0.1421228153215553, -0.1777673972925792, 0.30817162541465626, 0.14739192629543443, 0.19131199919308225, 0.0921588448406611, 0.24656483379917013, 0.11443358916246021, 0.04479112401604653, 0.08480785597736637, 0.25621184586650797, 0.13285994137792537, 0.11441867046265139, -0.22233306085432156, 0.045701216047422756, 0.07051376113409383] |
712.0048 | Regge behaviour of distribution functions and evolution of gluon
distribution function in Next-to-Leading order at low-x | Evolution of gluon distribution function from
Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in
next-to-leading order (NLO) at low-x is presented assuming the Regge behaviour
of quarks and gluons at this limit. We compare our results of gluon
distribution function with MRST2004, GRV98LO and GRV98NLO parameterizations and
show the compatibility of Regge behaviour of quark and gluon distribution
functions with perturbative quantum chromodynamics (PQCD) at low-x.
| hep-ph | evolution of gluon distribution function from dokshitzergribovlipatovaltarelliparisi dglap evolution equation in nexttoleading order nlo at lowx is presented assuming the regge behaviour of quarks and gluons at this limit we compare our results of gluon distribution function with mrst2004 grv98lo and grv98nlo parameterizations and show the compatibility of regge behaviour of quark and gluon distribution functions with perturbative quantum chromodynamics pqcd at lowx | [['evolution', 'of', 'gluon', 'distribution', 'function', 'from', 'dokshitzergribovlipatovaltarelliparisi', 'dglap', 'evolution', 'equation', 'in', 'nexttoleading', 'order', 'nlo', 'at', 'lowx', 'is', 'presented', 'assuming', 'the', 'regge', 'behaviour', 'of', 'quarks', 'and', 'gluons', 'at', 'this', 'limit', 'we', 'compare', 'our', 'results', 'of', 'gluon', 'distribution', 'function', 'with', 'mrst2004', 'grv98lo', 'and', 'grv98nlo', 'parameterizations', 'and', 'show', 'the', 'compatibility', 'of', 'regge', 'behaviour', 'of', 'quark', 'and', 'gluon', 'distribution', 'functions', 'with', 'perturbative', 'quantum', 'chromodynamics', 'pqcd', 'at', 'lowx']] | [-0.005362599813303009, 0.20566808599520658, -0.3109344004836605, 0.17766826587622284, -0.02754363794734732, 0.0044575633755961405, -0.030375027712281854, 0.34890232308477653, -0.15402008919808707, -0.19161112285906173, -0.09983809362738164, -0.35097564860689834, 0.0307965594969812, 0.019894460490981085, 0.10584170665194997, 0.21073675369385814, 0.07087181465028496, -0.0620993390511416, -0.07529873005496185, -0.249801143896995, 0.4235051480717346, -0.0018738118538510849, 0.21667951310328284, 0.20522404433090669, 0.13845147823792744, 0.09465069527982077, -0.032272287346728025, -0.14243063168813946, -0.12343942786215759, -0.023710360002444416, 0.2432990793976551, -0.013457736672192324, 0.08399910712614655, -0.34714226891882105, -0.10968079775205401, -0.008939152033846886, 0.1714377154626685, 0.10138735562929364, 0.07631661216194024, -0.21948239376737935, 0.11160780515399624, -0.2712151105439321, -0.26712301671199623, -0.12456736637309926, -0.06553907091653005, -0.0021713808461351963, -0.3640044713087502, 0.12372533553356274, -0.09844149356005621, -0.015701048763194045, 0.05437490652452727, -0.243816913487237, -0.08453749787047139, 0.0247929968000924, 0.1537312353144354, 0.1553367832828252, 0.1171334186248237, -0.3297365926106873, -0.17999067695784673, 0.3648326680155807, -0.060686360901511714, -0.1706543425746934, 0.10740006511237045, -0.3398785554941316, -0.16115438270184104, 0.10469841245622909, 0.20260183456674463, 0.12633491059398796, -0.19583185145356616, 0.1884859818621676, 0.04992319024778658, 0.15002487807488832, 0.1223200808325019, 0.10330001374355471, 0.16260961369901408, 0.20189371427185224, -0.10110030654573539, 0.0645111329036719, 0.03609953167252853, -0.2087127288772923, -0.48505278994314005, -0.006952088753708074, -0.09713487371374838, 0.0739578759206123, -0.22287305642862149, -0.14551375108603082, 0.3525012911709606, 0.10365793991406433, 0.21219089248248177, 0.14870876414304385, 0.3083942050083739, 0.20057982863804905, 0.006160203886569523, 0.1485576965754516, 0.2243934616553368, 0.20694845489638505, 0.18758354377245806, -0.327968884675504, 0.02100767950075545, 0.12486064988264783] |
712.0049 | Fillings method in number theory | Number of results in number theory have been developed using a new method.
The Goldbach binary conjecture in strengthened formulation have been among
them.
| math.GM | number of results in number theory have been developed using a new method the goldbach binary conjecture in strengthened formulation have been among them | [['number', 'of', 'results', 'in', 'number', 'theory', 'have', 'been', 'developed', 'using', 'a', 'new', 'method', 'the', 'goldbach', 'binary', 'conjecture', 'in', 'strengthened', 'formulation', 'have', 'been', 'among', 'them']] | [-0.11189325105321284, 0.05203140963567421, -0.17641103741091987, 0.04368497462322315, -0.0625073491440465, -0.1655253331603793, 0.021417999732269283, 0.3368737810136129, -0.20117461417491236, -0.4373356565677871, 0.04691071306782154, -0.2377000680717174, -0.2131130324366192, 0.26811834347123903, -0.07594493066426367, 0.15494363809314868, 0.06499138769383232, 0.014462323238452276, 0.00010008710281302531, -0.3981482732148531, 0.2716233342459115, -0.0367669944340984, 0.24245167539144555, 0.06612155788267653, -0.0024703494467151663, 0.006697414617519826, -0.04199738057407861, 0.13568485481664538, -0.0848941962661532, 0.13912177194530764, 0.23970518070079075, 0.18525999883422628, 0.3816897015397747, -0.45023439343397814, -0.2660176743617437, 0.10870868852362037, 0.09981613967102021, 0.14766131481155753, -0.12658445824248096, -0.22846553818574952, 0.1756855498921747, -0.27429394466647256, -0.14620477768282095, -0.09699901814262073, 0.021738014339158934, 0.034141943867628775, -0.16666987026110291, 0.030220823808728408, 0.04414496271056123, 0.07552478063674546, -0.051638798244918384, -0.1851021956341962, 0.05836534546688199, 0.09062663099030033, 0.0885725833165149, 0.012822654796764255, -0.08807038345063727, -0.04870109465749314, -0.17356522614136338, 0.2615824428697427, -0.0012914457668860753, -0.20206572860479355, 0.17694661514057466, -0.07791977806482464, -0.300134034982572, 0.15852403718357286, 0.18100221497782817, 0.1759392824023962, -0.15538986617078385, 0.119784741778858, -0.19745525298640132, 0.09934730280656368, 0.15540499639852592, 0.022763433187113453, 0.23137897857426046, 0.12113817982996504, -0.04060334655999517, 0.15430572059509964, -0.08327835785773156, -0.0654173238047709, -0.13340569636784494, -0.17267572204582393, -0.2180334445244322, -0.018739575248522062, -0.019991272517169516, -0.10226459785675009, 0.28058109843793017, 0.14718846670196703, 0.12568805754805604, 0.04752841976005584, 0.19378637351716557, 0.11184886346260707, 0.10245996403197448, 0.019379072783825297, 0.2638012326788157, 0.2573837397309641, 0.019921890964421134, -0.14011982323912284, 0.07653668478208904, 0.22694734225903326] |
712.005 | The stress-energy tensor of a quark moving through a strongly-coupled
N=4 supersymmetric Yang-Mills plasma: comparing hydrodynamics and AdS/CFT | The stress-energy tensor of a quark moving through a strongly coupled N=4
supersymmetric Yang-Mills plasma is evaluated using gauge/string duality. The
accuracy with which the resulting wake, in position space, is reproduced by
hydrodynamics is examined. Remarkable agreement is found between hydrodynamics
and the complete result down to distances less than 2/T away from the quark. In
performing the gravitational analysis, we use a relatively simple formulation
of the bulk to boundary problem in which the linearized Einstein field
equations are fully decoupled. Our analysis easily generalizes to other sources
in the bulk.
| hep-th hep-ph nucl-th | the stressenergy tensor of a quark moving through a strongly coupled n4 supersymmetric yangmills plasma is evaluated using gaugestring duality the accuracy with which the resulting wake in position space is reproduced by hydrodynamics is examined remarkable agreement is found between hydrodynamics and the complete result down to distances less than 2t away from the quark in performing the gravitational analysis we use a relatively simple formulation of the bulk to boundary problem in which the linearized einstein field equations are fully decoupled our analysis easily generalizes to other sources in the bulk | [['the', 'stressenergy', 'tensor', 'of', 'a', 'quark', 'moving', 'through', 'a', 'strongly', 'coupled', 'n4', 'supersymmetric', 'yangmills', 'plasma', 'is', 'evaluated', 'using', 'gaugestring', 'duality', 'the', 'accuracy', 'with', 'which', 'the', 'resulting', 'wake', 'in', 'position', 'space', 'is', 'reproduced', 'by', 'hydrodynamics', 'is', 'examined', 'remarkable', 'agreement', 'is', 'found', 'between', 'hydrodynamics', 'and', 'the', 'complete', 'result', 'down', 'to', 'distances', 'less', 'than', '2t', 'away', 'from', 'the', 'quark', 'in', 'performing', 'the', 'gravitational', 'analysis', 'we', 'use', 'a', 'relatively', 'simple', 'formulation', 'of', 'the', 'bulk', 'to', 'boundary', 'problem', 'in', 'which', 'the', 'linearized', 'einstein', 'field', 'equations', 'are', 'fully', 'decoupled', 'our', 'analysis', 'easily', 'generalizes', 'to', 'other', 'sources', 'in', 'the', 'bulk']] | [-0.0885834811175222, 0.15067190184227883, -0.10672257003945208, 0.053352464701459615, -0.07447618276121155, -0.1283206773911833, -0.03213643094290659, 0.32120976469890083, -0.21972176404069027, -0.27384998986838005, 0.05566027097814586, -0.2815319046438221, -0.08673041279337579, 0.1568918482911202, -0.012122168786503294, 0.028208931737769675, 0.05923558178079885, 0.026466162464711614, -0.1416240630631325, -0.21184718925806303, 0.2919569985380256, 0.03343544501851323, 0.2524982626119288, 0.043068790872786596, 0.08778079425896047, -0.0030611811396014945, -0.03570657732185497, 0.07871288854737706, -0.07763322381229486, 0.08834560723569725, 0.21873485680634497, 0.03714338558605842, 0.17820550039190278, -0.42757507782149057, -0.24057561858627263, 0.020257831636255465, 0.14230690196892548, 0.13458241627211132, -0.008607503317136278, -0.2829350710556071, 0.07811241961454832, -0.15658431273875056, -0.17351999640044186, -0.05171626352614934, -0.019900680503367338, -0.06838081602347634, -0.24705253438573452, 0.1271796378417201, -0.010838178246812795, 0.017453185162476955, -0.04025690706687108, -0.07994928452566827, -0.07166414937725471, 0.05706910308831001, 0.07856779554558377, 0.11830798020305973, 0.13761816599896998, -0.17495781730519988, -0.0574804274866017, 0.4169279855665981, -0.09188467156976306, -0.2380512969177817, 0.20721928675669016, -0.16850460934082187, -0.08602245767871218, 0.143916408541382, 0.11953138032807939, 0.17619816984941242, -0.1909443077641309, 0.11545332028187551, -0.06509678715574606, 0.1586687937504061, 0.08945248273491699, -0.017556065884471984, 0.23601285157905472, 0.16700247857689618, 0.006787516802589419, 0.15237461161732133, -0.030701277584778846, -0.1479173062759782, -0.36606114551985774, -0.09440962739929717, -0.1657023546636425, 0.03956800966864071, -0.11746945683277958, -0.14043917963996352, 0.3498572329640068, 0.14351374448417256, 0.13364969159699275, 0.05701810426218936, 0.2876695856572159, 0.11518806742594367, 0.06496827728966231, 0.1342818382126029, 0.31616463351954693, 0.20744579730265003, 0.12635257019991836, -0.25559217557160846, -0.06776926544825396, 0.1518007230153808] |
712.0051 | Effect of heavy-quark energy loss on the muon differential production
cross section in Pb-Pb collisions at \sqrtsNN=5.5 TeV | We study the nuclear modification factors RAA and RCP of the high transverse
momentum 5<pt<60 GeV/c distribution of muons in Pb--Pb collisions at LHC
energies. We consider two pseudo-rapidity ranges covered by the LHC
experiments: $|\eta|<2.5$ and $2.5<\eta<4$. Muons from semi-leptonic decays of
heavy quarks (c and b) and from leptonic decays of weak gauge bosons (W and Z)
are the main contributions to the muon pt distribution above a few GeV/c. We
compute the heavy quark contributions using available pQCD-based programs. We
include the nuclear shadowing modification of the parton distribution functions
and the in-medium radiative energy loss for heavy quarks, using the
mass-dependent BDMPS quenching weights. Muons from W and Z leptonic decays,
that dominate the yield at high pt, can be used as a medium-blind reference to
observe the medium-induced suppression of beauty quarks.
| hep-ph | we study the nuclear modification factors raa and rcp of the high transverse momentum 5pt60 gevc distribution of muons in pbpb collisions at lhc energies we consider two pseudorapidity ranges covered by the lhc experiments eta25 and 25eta4 muons from semileptonic decays of heavy quarks c and b and from leptonic decays of weak gauge bosons w and z are the main contributions to the muon pt distribution above a few gevc we compute the heavy quark contributions using available pqcdbased programs we include the nuclear shadowing modification of the parton distribution functions and the inmedium radiative energy loss for heavy quarks using the massdependent bdmps quenching weights muons from w and z leptonic decays that dominate the yield at high pt can be used as a mediumblind reference to observe the mediuminduced suppression of beauty quarks | [['we', 'study', 'the', 'nuclear', 'modification', 'factors', 'raa', 'and', 'rcp', 'of', 'the', 'high', 'transverse', 'momentum', '5pt60', 'gevc', 'distribution', 'of', 'muons', 'in', 'pbpb', 'collisions', 'at', 'lhc', 'energies', 'we', 'consider', 'two', 'pseudorapidity', 'ranges', 'covered', 'by', 'the', 'lhc', 'experiments', 'eta25', 'and', '25eta4', 'muons', 'from', 'semileptonic', 'decays', 'of', 'heavy', 'quarks', 'c', 'and', 'b', 'and', 'from', 'leptonic', 'decays', 'of', 'weak', 'gauge', 'bosons', 'w', 'and', 'z', 'are', 'the', 'main', 'contributions', 'to', 'the', 'muon', 'pt', 'distribution', 'above', 'a', 'few', 'gevc', 'we', 'compute', 'the', 'heavy', 'quark', 'contributions', 'using', 'available', 'pqcdbased', 'programs', 'we', 'include', 'the', 'nuclear', 'shadowing', 'modification', 'of', 'the', 'parton', 'distribution', 'functions', 'and', 'the', 'inmedium', 'radiative', 'energy', 'loss', 'for', 'heavy', 'quarks', 'using', 'the', 'massdependent', 'bdmps', 'quenching', 'weights', 'muons', 'from', 'w', 'and', 'z', 'leptonic', 'decays', 'that', 'dominate', 'the', 'yield', 'at', 'high', 'pt', 'can', 'be', 'used', 'as', 'a', 'mediumblind', 'reference', 'to', 'observe', 'the', 'mediuminduced', 'suppression', 'of', 'beauty', 'quarks']] | [0.0052470182379086815, 0.33471686979410825, -0.11353187873200686, 0.18733711597958097, 0.004945003927719814, -0.11593983803910238, 0.01012079680631696, 0.36555459178570243, -0.21637245297638907, -0.25154583934970476, -0.12170928828159554, -0.3843757172977483, 0.15731872487813234, 0.09376634334869406, 0.10547691580529014, 0.11341014355076132, 0.13498133003573726, -0.08631986639358931, -0.1014630439363558, -0.18326540570318078, 0.30253825361529985, 0.0481858989154851, 0.16619111732407302, 0.21769856284049133, 0.05150026831478398, 0.07775360842028425, -0.055648455192783365, -0.06933119186648616, -0.11465747374550793, 0.007143032763161938, 0.2077958287477183, 0.042855247329161676, 0.10834218952632337, -0.3062095314057337, -0.07264084709480542, 0.13185685713240808, 0.13489791721071082, 0.06676858077170672, -0.09250670907398065, -0.2584177525498456, 0.13275398396955873, -0.27559818066311653, -0.08402385710807586, -0.06992568786738923, -0.0564992209068603, 0.013118707916820077, -0.3490844183359985, 0.13041204778236096, -0.04793042627128738, 0.05529160298476064, 0.03397034737798903, -0.28467182741258984, -0.07156535124199258, 0.014840559081898795, 0.16959944721656264, 0.12289890968930665, 0.2237849787429527, -0.18902164199044583, -0.19798073930389903, 0.4124131120948328, -0.028641680505609623, -0.16129804864111874, 0.16356288504062427, -0.2522522251604608, -0.10881483006222105, 0.19395765895368877, 0.3120517358045887, 0.08102027742511213, -0.19304537177775746, 0.10440018628767037, 0.0032687587240986804, 0.1524627608669646, 0.09094064615287438, 0.08461719996606311, 0.14739029356450947, 0.16115863121770047, -0.03789055947154001, 0.06323772023035282, -0.11680912342336443, -0.024749336488268995, -0.44830826603704027, -0.10146347727298874, -0.08836397103689335, 0.10277252361109411, -0.07503451460690014, -0.03490777225406082, 0.40432722015237366, 0.02652233353022624, 0.2893628196997775, -0.018859026301652194, 0.3043656339041061, 0.06752641382023554, 0.07485787497997215, 0.1255966976215994, 0.28542697729059946, 0.205204622676872, 0.19818922462097058, -0.28106827891293773, 0.006140094990324643, 0.06541570055953883] |
712.0052 | Phase diagram of nuclear "pasta" and its uncertainties in supernova
cores | We examine the model dependence of the phase diagram of inhomogeneous nulcear
matter in supernova cores using the quantum molecular dynamics (QMD).
Inhomogeneous matter includes crystallized matter with nonspherical nuclei -
"pasta" phases - and the liquid-gas phase separating nuclear matter. Major
differences between the phase diagrams of the QMD models can be explained by
the energy of pure neutron matter at low densities and the saturation density
of asymmetric nuclear matter. We show the density dependence of the symmetry
energy is also useful to understand uncertainties of the phase diagram. We
point out that, for typical nuclear models, the mass fraction of the pasta
phases in the later stage of the collapsing cores is higher than 10-20 %.
| nucl-th astro-ph | we examine the model dependence of the phase diagram of inhomogeneous nulcear matter in supernova cores using the quantum molecular dynamics qmd inhomogeneous matter includes crystallized matter with nonspherical nuclei pasta phases and the liquidgas phase separating nuclear matter major differences between the phase diagrams of the qmd models can be explained by the energy of pure neutron matter at low densities and the saturation density of asymmetric nuclear matter we show the density dependence of the symmetry energy is also useful to understand uncertainties of the phase diagram we point out that for typical nuclear models the mass fraction of the pasta phases in the later stage of the collapsing cores is higher than 1020 | [['we', 'examine', 'the', 'model', 'dependence', 'of', 'the', 'phase', 'diagram', 'of', 'inhomogeneous', 'nulcear', 'matter', 'in', 'supernova', 'cores', 'using', 'the', 'quantum', 'molecular', 'dynamics', 'qmd', 'inhomogeneous', 'matter', 'includes', 'crystallized', 'matter', 'with', 'nonspherical', 'nuclei', 'pasta', 'phases', 'and', 'the', 'liquidgas', 'phase', 'separating', 'nuclear', 'matter', 'major', 'differences', 'between', 'the', 'phase', 'diagrams', 'of', 'the', 'qmd', 'models', 'can', 'be', 'explained', 'by', 'the', 'energy', 'of', 'pure', 'neutron', 'matter', 'at', 'low', 'densities', 'and', 'the', 'saturation', 'density', 'of', 'asymmetric', 'nuclear', 'matter', 'we', 'show', 'the', 'density', 'dependence', 'of', 'the', 'symmetry', 'energy', 'is', 'also', 'useful', 'to', 'understand', 'uncertainties', 'of', 'the', 'phase', 'diagram', 'we', 'point', 'out', 'that', 'for', 'typical', 'nuclear', 'models', 'the', 'mass', 'fraction', 'of', 'the', 'pasta', 'phases', 'in', 'the', 'later', 'stage', 'of', 'the', 'collapsing', 'cores', 'is', 'higher', 'than', '1020']] | [-0.09715419894501824, 0.2401095795653889, -0.1664686119234077, 0.13088024481689428, 0.005603597585738091, -0.018811099215185846, 0.033952475393969755, 0.33492169863191146, -0.21232648136029983, -0.3482180751442652, 0.028161492850029328, -0.24529613031010175, -0.03979166123437984, 0.08891854700752823, 0.06935995331050121, -0.012866164798495072, -0.03136449181956464, -0.003557233894564982, -0.18112866179857018, -0.18738531502433411, 0.3603794616727351, 0.057687192700666794, 0.23855717155825476, 0.06087045262744329, 0.03566523386739548, -0.0626723907069014, 0.004759902186723876, -0.0027304704076257244, -0.1771424133474221, -0.02243185750658399, 0.23439611901436552, 0.03976760668166239, 0.11177541488974259, -0.47201728123914577, -0.2565578295415717, 0.1667863757365608, 0.12026830427830332, 0.12995109208136926, -0.08376023659466542, -0.2804702628275444, 0.02971641557564124, -0.2357457535479876, -0.1602160148081723, -0.04736529540166195, 0.003574713935136217, 0.05118812687127, -0.17172412351094957, 0.19069595234885064, 0.005385585791122265, -0.02452800521257751, -0.07912696513411557, -0.17186198958420548, -0.059524015350877466, 0.044681313993601965, -0.009380498452409139, 0.014085886361687604, 0.2338603931742094, -0.22084893339217224, -0.015825616207840884, 0.44247570669214276, -0.015807541950976133, -0.04034970145158727, 0.16737418401191526, -0.19576702748675195, -0.15377532991034717, 0.20385546194678494, 0.14216021616573862, 0.09101569312544347, -0.0928241116926074, 0.046792390356131364, 0.016814106382863146, 0.1965326940380378, 0.0010011096340443555, 0.0031170621381973215, 0.3110970304837322, 0.2226965269174202, -0.012562596656639, 0.1434876746307368, -0.1339242446220255, -0.1810524462449268, -0.2932486397029575, -0.11397144904135373, -0.14463022056011612, -0.027331052789593052, -0.12962429603970216, -0.1206632316682552, 0.35712707698634216, 0.06749525413535343, 0.15764523831528315, -0.08072617129374553, 0.28232400344106656, 0.06994313685171274, 0.015079619374993289, 0.07614800019454661, 0.27180599025450647, 0.22020039539422903, 0.0936697712599637, -0.3201388908461828, 0.05144137408431812, 0.016656478545789062] |
712.0053 | Directional recoil rates for WIMP direct detection | New techniques for the laboratory direct detection of dark matter weakly
interacting massive particles (WIMPs) are sensitive to the recoil direction of
the struck nuclei. We compute and compare the directional recoil rates
${dR}/{d\cos\theta}$ (where $\theta$ is the angle measured from a reference
direction in the sky) for several WIMP velocity distributions including the
standard dark halo and anisotropic models such as Sikivie's late-infall halo
model and logarithmic-ellipsoidal models. Since some detectors may be unable to
distinguish the beginning of the recoil track from its end (lack of head-tail
discrimination), we introduce a ``folded'' directional recoil rate
${dR}/{d|\cos\theta|}$, where $|\cos\theta|$ does not distinguish the head from
the tail of the track. We compute the CS$_2$ and CF$_4$ exposures required to
distinguish a signal from an isotropic background noise, and find that
${dR}/{d|\cos\theta|}$ is effective for the standard dark halo and some but not
all anisotropic models.
| astro-ph hep-ex hep-ph | new techniques for the laboratory direct detection of dark matter weakly interacting massive particles wimps are sensitive to the recoil direction of the struck nuclei we compute and compare the directional recoil rates drdcostheta where theta is the angle measured from a reference direction in the sky for several wimp velocity distributions including the standard dark halo and anisotropic models such as sikivies lateinfall halo model and logarithmicellipsoidal models since some detectors may be unable to distinguish the beginning of the recoil track from its end lack of headtail discrimination we introduce a folded directional recoil rate drdcostheta where costheta does not distinguish the head from the tail of the track we compute the cs_2 and cf_4 exposures required to distinguish a signal from an isotropic background noise and find that drdcostheta is effective for the standard dark halo and some but not all anisotropic models | [['new', 'techniques', 'for', 'the', 'laboratory', 'direct', 'detection', 'of', 'dark', 'matter', 'weakly', 'interacting', 'massive', 'particles', 'wimps', 'are', 'sensitive', 'to', 'the', 'recoil', 'direction', 'of', 'the', 'struck', 'nuclei', 'we', 'compute', 'and', 'compare', 'the', 'directional', 'recoil', 'rates', 'drdcostheta', 'where', 'theta', 'is', 'the', 'angle', 'measured', 'from', 'a', 'reference', 'direction', 'in', 'the', 'sky', 'for', 'several', 'wimp', 'velocity', 'distributions', 'including', 'the', 'standard', 'dark', 'halo', 'and', 'anisotropic', 'models', 'such', 'as', 'sikivies', 'lateinfall', 'halo', 'model', 'and', 'logarithmicellipsoidal', 'models', 'since', 'some', 'detectors', 'may', 'be', 'unable', 'to', 'distinguish', 'the', 'beginning', 'of', 'the', 'recoil', 'track', 'from', 'its', 'end', 'lack', 'of', 'headtail', 'discrimination', 'we', 'introduce', 'a', 'folded', 'directional', 'recoil', 'rate', 'drdcostheta', 'where', 'costheta', 'does', 'not', 'distinguish', 'the', 'head', 'from', 'the', 'tail', 'of', 'the', 'track', 'we', 'compute', 'the', 'cs_2', 'and', 'cf_4', 'exposures', 'required', 'to', 'distinguish', 'a', 'signal', 'from', 'an', 'isotropic', 'background', 'noise', 'and', 'find', 'that', 'drdcostheta', 'is', 'effective', 'for', 'the', 'standard', 'dark', 'halo', 'and', 'some', 'but', 'not', 'all', 'anisotropic', 'models']] | [-0.05320924302234178, 0.1658140890654608, -0.12047232259585933, 0.12870188799387144, -0.09899748232332872, -0.13143436160016728, -0.01683384403293314, 0.37600452812401564, -0.24498886207665702, -0.3173552029407941, 0.023676138649649032, -0.30764413427665727, -0.022536578243012195, 0.18071353715401586, 0.007266562106413441, 0.0019596667314710266, 0.021252835825593633, 0.04686554895153829, -0.06660400889651082, -0.1710909781057609, 0.26348718037906954, 0.10482460637804825, 0.2357991879066726, 0.018832766900320985, 0.14440744777268671, 0.010416046266893407, -0.0837479966425604, -0.038290999927460316, -0.13102823310439887, 0.04663119340393614, 0.21523444122698226, 0.10545222241744086, 0.1345990685619075, -0.3970859014279359, -0.1933752509302922, 0.17814874087974847, 0.14734159646819547, 0.11405392315310355, -0.08880720960572232, -0.29644186141041035, 0.0399446637602523, -0.23406635334396123, -0.13101267528360372, -0.037340022139967635, -0.011072337673000105, 0.05521387868671567, -0.24807839931177716, 0.13417444781826035, 0.010686109148591132, -0.05133227652941759, -0.05350339636646237, -0.12719062903987152, 0.008398995400973028, 0.07851211012542977, 0.08181334422637507, 0.017840050058309118, 0.21748613688274177, -0.20734294650138363, -0.060889287021375825, 0.41041518924301945, -0.07860154139327367, -0.16519090372391723, 0.21941368089064017, -0.1715748485314523, -0.0999371561602774, 0.1611852346352868, 0.19527630440864738, 0.1045279982121225, -0.14942548198013247, 0.04124698833923891, 0.004694913356024381, 0.20480527180422853, 0.08019589999417116, 0.006986377031340466, 0.2739803860472007, 0.0969546991359716, 0.07970093403229737, 0.05400977278587415, -0.22302205247439807, -0.0362022741106697, -0.29592782993625094, -0.14051393058046802, -0.1320822448380148, -0.010905493394157466, -0.06433979345166443, -0.13213615327539457, 0.37745483558209997, 0.1423198662305876, 0.21900377775724794, 0.0390566168890263, 0.3268735953508974, 0.029215370986685547, 0.040468143250376405, 0.04044094508175145, 0.32201654441985206, 0.13312631604502667, 0.052154454122577514, -0.19744271798616184, 0.060392777445250664, -0.033534888692617] |
712.0054 | Variational Principles for Water Waves | We describe the Hamiltonian structures, including the Poisson brackets and
Hamiltonians, for free boundary problems for incompressible fluid flows with
vorticity. The Hamiltonian structure is used to obtain variational principles
for stationary gravity waves both for irrotational flows as well as flows with
vorticity.
| math-ph math.MP | we describe the hamiltonian structures including the poisson brackets and hamiltonians for free boundary problems for incompressible fluid flows with vorticity the hamiltonian structure is used to obtain variational principles for stationary gravity waves both for irrotational flows as well as flows with vorticity | [['we', 'describe', 'the', 'hamiltonian', 'structures', 'including', 'the', 'poisson', 'brackets', 'and', 'hamiltonians', 'for', 'free', 'boundary', 'problems', 'for', 'incompressible', 'fluid', 'flows', 'with', 'vorticity', 'the', 'hamiltonian', 'structure', 'is', 'used', 'to', 'obtain', 'variational', 'principles', 'for', 'stationary', 'gravity', 'waves', 'both', 'for', 'irrotational', 'flows', 'as', 'well', 'as', 'flows', 'with', 'vorticity']] | [-0.1838358246551996, 0.14976216334087605, -0.07722296221816743, 0.09900037784774957, -0.08367415178905833, -0.11108086038042199, -0.15104692759500307, 0.2867020040496506, -0.33122103195637465, -0.2646580464206636, 0.09470531855582852, -0.23369226050139827, -0.11645224842835557, 0.18713833340867, -0.0024421073665673084, 0.16924279983240095, 0.08070340460504997, -0.004529611345126547, -0.05613418149931187, -0.12604890153902074, 0.38608012797141616, 0.005452660335735841, 0.24190338218415325, -0.015114613808691502, 0.16397063917776739, -0.04499060682825406, 0.07061228850613009, 0.06787231476151977, -0.22257095609198918, 0.041704932576976717, 0.2637175386454063, -0.02042044885456562, 0.15275328813268887, -0.5076684493317523, -0.3621180900372565, -0.021145505153320053, 0.12253847855820575, 0.1752071736634455, -0.020368014187128705, -0.2860030765137212, 0.025920017961074005, -0.14406835469840604, -0.17522641063921832, -0.14185001836581665, 0.005054725461046804, 0.094764094799757, -0.2630313959314001, 0.1868796968536282, 0.06044226827427999, 0.0582743446892974, -0.1919792562892491, -0.08060516609640961, -0.10416922795279375, 0.10774544067680836, 0.0788658641395159, 0.001677580050785433, 0.08097225111189553, -0.16067466894376345, -0.09474971538028595, 0.5053458326411518, -0.08161378547083586, -0.35805842466652393, 0.19335759862918744, -0.03619870854626325, -0.09995758613910187, 0.0819406054533002, 0.17812606067904693, 0.1188099229157987, -0.12753708199306857, 0.08457089549814224, -0.02610231664783152, 0.02187860719012943, 0.06674132497706027, -0.07155765536960891, 0.19334793150086294, 0.09373691217677499, 0.17485462507995014, 0.11634939329021356, -0.07129705650202761, -0.18157037897882136, -0.34861057302491233, -0.19363754536871883, -0.1439732855175283, 0.059002277737652715, -0.08559632409246247, -0.25497386926277116, 0.3462037813257087, 0.09504842558156022, 0.09598658432845365, 0.07839908626523208, 0.2518077848944813, 0.1416043686754578, -0.011083145879886368, 0.21447917051740328, 0.21627224444157697, 0.27796435537113046, 0.14867990034822884, -0.1607090419486419, -0.054337310382503674, 0.18801599586467174] |
712.0055 | Description of current-driven torques in magnetic tunnel junctions | A free electron description of spin-dependent tranport in magnetic tunnel
junctions with non collinear magnetizations is presented. We investigate the
origin of transverse spin density in tunnelling transport and the quantum
interferences which give rise to oscillatory torques on the local
magnetization. Spin transfer torque is also analyzed and an important bias
asymmetry is found as well as a damped oscillatory behaviour. Furthermore, we
investigate the influence of the s-d exchange coupling on torque in particular
in the case of half-metallic MTJ in which the spin transfer torque is due to
interfacial spin-dependent reflections.
| cond-mat.mes-hall | a free electron description of spindependent tranport in magnetic tunnel junctions with non collinear magnetizations is presented we investigate the origin of transverse spin density in tunnelling transport and the quantum interferences which give rise to oscillatory torques on the local magnetization spin transfer torque is also analyzed and an important bias asymmetry is found as well as a damped oscillatory behaviour furthermore we investigate the influence of the sd exchange coupling on torque in particular in the case of halfmetallic mtj in which the spin transfer torque is due to interfacial spindependent reflections | [['a', 'free', 'electron', 'description', 'of', 'spindependent', 'tranport', 'in', 'magnetic', 'tunnel', 'junctions', 'with', 'non', 'collinear', 'magnetizations', 'is', 'presented', 'we', 'investigate', 'the', 'origin', 'of', 'transverse', 'spin', 'density', 'in', 'tunnelling', 'transport', 'and', 'the', 'quantum', 'interferences', 'which', 'give', 'rise', 'to', 'oscillatory', 'torques', 'on', 'the', 'local', 'magnetization', 'spin', 'transfer', 'torque', 'is', 'also', 'analyzed', 'and', 'an', 'important', 'bias', 'asymmetry', 'is', 'found', 'as', 'well', 'as', 'a', 'damped', 'oscillatory', 'behaviour', 'furthermore', 'we', 'investigate', 'the', 'influence', 'of', 'the', 'sd', 'exchange', 'coupling', 'on', 'torque', 'in', 'particular', 'in', 'the', 'case', 'of', 'halfmetallic', 'mtj', 'in', 'which', 'the', 'spin', 'transfer', 'torque', 'is', 'due', 'to', 'interfacial', 'spindependent', 'reflections']] | [-0.24852864921310955, 0.16939028962208774, -0.0342619763687253, 0.08320537269452309, -0.06546882910535057, -0.11255432109526814, -0.01976785860073931, 0.37757473438978195, -0.28250743436349673, -0.29230981007059836, -0.03760158396548929, -0.27099202690210117, -0.12563990121905474, 0.22196846320591074, 0.046973989364948676, -0.031109709867296068, -0.030121895412485947, -0.0005382436941912833, -0.04996491887388711, -0.1468633459614679, 0.2813694030579001, 0.013506025482127641, 0.2894380984312676, 0.13688880019880673, 0.0724382050375038, 0.06417923667864438, 0.11213518244689925, 0.0066311718460093155, -0.15990633210365443, 0.012128462103453088, 0.22055472738723805, -0.17717577509106475, 0.12394893625156676, -0.48767150391606573, -0.1390875292318982, 0.0003406106236767262, 0.14650597437681195, 0.17857495363197348, -0.05992504948888846, -0.23719723728495312, -0.0107538901328882, -0.19354860079375671, -0.08583655156333872, -0.11411663450974416, 0.028354423576371468, 0.037606980037340455, -0.2864803616898729, 0.1232946588471408, 0.1173014760047118, 0.0672139520162439, -0.060268211624327495, -0.0921577384021688, -0.09350238007027656, 0.06121952741089812, 0.0967321697166784, 0.03880108714083883, 0.19242344818454474, -0.13089918716751198, -0.14581875890949147, 0.29034346377754466, -0.06522258957649799, -0.1831718240988421, 0.13804190782731043, -0.20639291881246769, -0.02691696041283455, 0.10020442714944403, 0.16335072879620055, 0.10814938953324676, -0.18519232697547117, 0.08931989744280841, 0.03914391177463682, 0.09983100143677377, 0.05698414866445943, 0.05514942127418645, 0.2607767676855338, 0.17763444794926475, 0.08372658728052208, 0.1439422967823896, -0.15772398021765688, -0.1150767928103302, -0.24421658428346224, -0.14850063732963928, -0.21513835600319695, 0.16389353611962276, -0.03409113833015696, -0.19403538711250146, 0.4164638783326967, 0.17394499725444204, 0.18049788785147222, -0.0744408083896331, 0.32058584540983304, 0.15846934310467717, 0.050420574576375964, 0.02301461804048852, 0.27209718598726584, 0.24056432724860993, 0.12227232606110579, -0.379554358548782, 0.10885235352164253, -0.03040888725452997] |
712.0056 | Periodic orbits of period 3 in the disc | Let f be an orientation preserving homeomorphism of the disc D2 which
possesses a periodic point of period 3. Then either f is isotopic, relative the
periodic orbit, to a homeomorphism g which is conjugate to a rotation by 2 pi
/3 or 4 pi /3, or f has a periodic point of least period n for each n in N*.
| math.DS | let f be an orientation preserving homeomorphism of the disc d2 which possesses a periodic point of period 3 then either f is isotopic relative the periodic orbit to a homeomorphism g which is conjugate to a rotation by 2 pi 3 or 4 pi 3 or f has a periodic point of least period n for each n in n | [['let', 'f', 'be', 'an', 'orientation', 'preserving', 'homeomorphism', 'of', 'the', 'disc', 'd2', 'which', 'possesses', 'a', 'periodic', 'point', 'of', 'period', '3', 'then', 'either', 'f', 'is', 'isotopic', 'relative', 'the', 'periodic', 'orbit', 'to', 'a', 'homeomorphism', 'g', 'which', 'is', 'conjugate', 'to', 'a', 'rotation', 'by', '2', 'pi', '3', 'or', '4', 'pi', '3', 'or', 'f', 'has', 'a', 'periodic', 'point', 'of', 'least', 'period', 'n', 'for', 'each', 'n', 'in', 'n']] | [-0.25663574766673025, 0.17680647304557362, -0.0849974131303244, -0.045451343332447845, -0.017206736992983543, -0.2209596161303095, 0.03685344964433767, 0.362218154380556, -0.3003246577181777, -0.23785068035186802, 0.10682497864215039, -0.294201772660017, -0.07150286517380813, 0.12976094276919106, -0.07161217213409846, 0.0009129657257409369, 0.012604760097675636, 0.13578017442258167, -0.11065674371650962, -0.24278351878289317, 0.27192310152239485, -0.10397660185689808, 0.0727380081747857, -0.03870467531693275, 0.05431635002987307, -0.0034893815115582746, 0.052542735573446346, -0.033290147750836906, -0.13216560337020725, 0.05218270107279303, 0.20342673776579684, 0.06841102129489672, 0.23417867475845774, -0.3228633448817447, -0.13781439372887988, 0.20076071078598987, 0.15624826038103612, -0.056562956395849094, 0.009306931684984535, -0.2148220094500995, 0.18544883076406893, -0.09810937641829741, -0.21580968659035252, 0.008393765931002429, 0.2274050697317866, -0.02172104538738972, -0.3324909316467457, -0.03503754351776643, 0.15661732179599863, 0.18079044923308443, 0.005656284692346073, -0.08816640851561164, -0.12433385380284219, 0.10920230434352501, 0.005907471742114571, 0.22919663104427154, 0.1067854544514271, -0.0032684471473464222, -0.08148539079292143, 0.3913411640974342, -0.11146055910064549, -0.24313703099968004, 0.16066600687679697, -0.19069616002656642, -0.11150274957056905, 0.22299217957942213, 0.10124351262099675, 0.120960498014923, -0.06608695976558279, 0.1892671155147865, -0.06942924742632714, 0.25147216559910657, 0.1473915410976185, -0.09809335343707658, 0.18301364242435111, 0.079435460128226, 0.20067512831024703, 0.0855871423540759, -0.10241772976444392, 0.055546163963001285, -0.2918371554830524, -0.13399586788393925, -0.1490600128032145, 0.1928549157913591, -0.11348133750229342, -0.15457282783310922, 0.3608573375911009, -0.03838135085267122, 0.24958899043134, 0.02364575231188267, 0.21766532436165897, 0.09449462777339533, 0.015403789001016984, 0.11247137799614766, 0.09416047432917918, 0.14268936835931706, -0.07666504616681181, -0.2000495180808252, -0.008826857593032669, 0.12456457008470277] |
712.0057 | On Precision - Redundancy Relation in the Design of Source Coding
Algorithms | We study the effects of finite-precision representation of source's
probabilities on the efficiency of classic source coding algorithms, such as
Shannon, Gilbert-Moore, or arithmetic codes. In particular, we establish the
following simple connection between the redundancy $R$ and the number of bits
$W$ necessary for representation of source's probabilities in computer's memory
($R$ is assumed to be small): \begin{equation*} W \lesssim \eta \log_2
\frac{m}{R}, \end{equation*} where $m$ is the cardinality of the source's
alphabet, and $\eta \leqslant 1$ is an implementation-specific constant. In
case of binary alphabets ($m=2$) we show that there exist codes for which $\eta
= 1/2$, and in $m$-ary case ($m > 2$) we show that there exist codes for which
$\eta = m/(m+1)$. In general case, however (which includes designs relying on
progressive updates of frequency counters), we show that $\eta = 1$. Usefulness
of these results for practical designs of source coding algorithms is also
discussed.
| cs.IT math.IT | we study the effects of finiteprecision representation of sources probabilities on the efficiency of classic source coding algorithms such as shannon gilbertmoore or arithmetic codes in particular we establish the following simple connection between the redundancy r and the number of bits w necessary for representation of sources probabilities in computers memory r is assumed to be small beginequation w lesssim eta log_2 fracmr endequation where m is the cardinality of the sources alphabet and eta leqslant 1 is an implementationspecific constant in case of binary alphabets m2 we show that there exist codes for which eta 12 and in mary case m 2 we show that there exist codes for which eta mm1 in general case however which includes designs relying on progressive updates of frequency counters we show that eta 1 usefulness of these results for practical designs of source coding algorithms is also discussed | [['we', 'study', 'the', 'effects', 'of', 'finiteprecision', 'representation', 'of', 'sources', 'probabilities', 'on', 'the', 'efficiency', 'of', 'classic', 'source', 'coding', 'algorithms', 'such', 'as', 'shannon', 'gilbertmoore', 'or', 'arithmetic', 'codes', 'in', 'particular', 'we', 'establish', 'the', 'following', 'simple', 'connection', 'between', 'the', 'redundancy', 'r', 'and', 'the', 'number', 'of', 'bits', 'w', 'necessary', 'for', 'representation', 'of', 'sources', 'probabilities', 'in', 'computers', 'memory', 'r', 'is', 'assumed', 'to', 'be', 'small', 'beginequation', 'w', 'lesssim', 'eta', 'log_2', 'fracmr', 'endequation', 'where', 'm', 'is', 'the', 'cardinality', 'of', 'the', 'sources', 'alphabet', 'and', 'eta', 'leqslant', '1', 'is', 'an', 'implementationspecific', 'constant', 'in', 'case', 'of', 'binary', 'alphabets', 'm2', 'we', 'show', 'that', 'there', 'exist', 'codes', 'for', 'which', 'eta', '12', 'and', 'in', 'mary', 'case', 'm', '2', 'we', 'show', 'that', 'there', 'exist', 'codes', 'for', 'which', 'eta', 'mm1', 'in', 'general', 'case', 'however', 'which', 'includes', 'designs', 'relying', 'on', 'progressive', 'updates', 'of', 'frequency', 'counters', 'we', 'show', 'that', 'eta', '1', 'usefulness', 'of', 'these', 'results', 'for', 'practical', 'designs', 'of', 'source', 'coding', 'algorithms', 'is', 'also', 'discussed']] | [-0.19242378167551139, 0.11991290762982379, -0.004476455393536338, 0.06908420893596486, 0.00974499792952476, -0.21888667213377253, 0.09185937145435862, 0.3850241166154115, -0.25030587690015293, -0.24587857408513283, 0.0986184160871399, -0.2772436113578492, -0.12573752783656378, 0.23658195947425376, -0.1101531566955663, 0.041716681934636214, 0.03423784032207111, 0.08666074530960156, -0.05391527885121518, -0.27177591471017565, 0.3159710431744441, 0.04197124251413384, 0.19926979133923506, 0.01011790770973111, 0.06791612832357401, 0.005287663729315431, -0.028545381729330483, -0.03627165535400654, -0.17529749707715256, 0.046460836451372195, 0.2883462113328278, 0.1814940498114146, 0.23373636856097085, -0.3353642944182301, -0.1841163941305773, 0.13856537640415903, 0.14682071859273932, 0.046296813025075045, -0.02889766631294684, -0.20389328198748288, 0.15501629097451425, -0.18036839450099346, -0.030413303331969756, -0.01035292288248331, 0.09741901163140247, 0.05091483370192221, -0.33054947657510636, 0.041992624858514696, 0.09947309020328625, 0.04105368999057803, -0.024327503207364473, -0.19935652406099413, 0.07680317895358492, 0.1051585859843883, 0.0344614383539763, 0.05542171887314782, 0.04208546113865129, -0.10225072797098807, -0.12575187850743533, 0.34818896089263, -0.016111139786140673, -0.22404528740665008, 0.13472246459267775, -0.13681469710286834, -0.1702228883441923, 0.10402771038613443, 0.17257799208645933, 0.12328568645913539, -0.05062908868401729, 0.12038412835200092, -0.05397225037409828, 0.2510107879687486, 0.12163797911770385, 0.10169282859263556, 0.11871006678597167, 0.12747579462151845, 0.035024103878772465, 0.14112045336594997, -0.09892946374442042, -0.051594465598464014, -0.3290598068257858, -0.1484173020926015, -0.1840290767558176, 0.07775880095131438, -0.12883334506979485, -0.11294131615291478, 0.27296146841013225, 0.1191519576413878, 0.1409254226159176, 0.0988914594977516, 0.25516160059848736, 0.07565597307884359, 0.03648816629248703, 0.16601475075144193, 0.1480661373978866, 0.148037571244841, 0.03225691101417459, -0.16573209059183838, 0.03071856797704923, 0.058558111655493746] |
712.0058 | Elliptic solutions of the Toda chain and a generalization of the
Stieltjes-Carlitz polynomials | We construct new elliptic solutions of the restricted Toda chain. These
solutions give rise to a new explicit class of orthogonal polynomials which can
be considered as a generalization of the Stieltjes-Carlitz elliptic
polynomials. Relations between characteristic (i.e. positive definite)
functions, Toda chain and orthogonal polynomials are developed in order to
derive main properties of these polynomials. The recurrence coefficients and
the weight function of these polynomials are expressed explicitly. In the
degenerated cases of the elliptic functions the modified Meixner polynomials
and the Krall-Laguerre polynomials appear.
| math.CA | we construct new elliptic solutions of the restricted toda chain these solutions give rise to a new explicit class of orthogonal polynomials which can be considered as a generalization of the stieltjescarlitz elliptic polynomials relations between characteristic ie positive definite functions toda chain and orthogonal polynomials are developed in order to derive main properties of these polynomials the recurrence coefficients and the weight function of these polynomials are expressed explicitly in the degenerated cases of the elliptic functions the modified meixner polynomials and the kralllaguerre polynomials appear | [['we', 'construct', 'new', 'elliptic', 'solutions', 'of', 'the', 'restricted', 'toda', 'chain', 'these', 'solutions', 'give', 'rise', 'to', 'a', 'new', 'explicit', 'class', 'of', 'orthogonal', 'polynomials', 'which', 'can', 'be', 'considered', 'as', 'a', 'generalization', 'of', 'the', 'stieltjescarlitz', 'elliptic', 'polynomials', 'relations', 'between', 'characteristic', 'ie', 'positive', 'definite', 'functions', 'toda', 'chain', 'and', 'orthogonal', 'polynomials', 'are', 'developed', 'in', 'order', 'to', 'derive', 'main', 'properties', 'of', 'these', 'polynomials', 'the', 'recurrence', 'coefficients', 'and', 'the', 'weight', 'function', 'of', 'these', 'polynomials', 'are', 'expressed', 'explicitly', 'in', 'the', 'degenerated', 'cases', 'of', 'the', 'elliptic', 'functions', 'the', 'modified', 'meixner', 'polynomials', 'and', 'the', 'kralllaguerre', 'polynomials', 'appear']] | [-0.2054038754945924, 0.08391990366413496, -0.07611156165123333, 0.10295515645533627, -0.11031882733453152, -0.1729443760935304, -0.0751193532027131, 0.2772776667396863, -0.35621566386341097, -0.18516200455988563, 0.10627630564145917, -0.23902385158269385, -0.16852321287313865, 0.20450462936152985, -0.036675019274996376, 0.10018214717680632, 0.02064545434184892, 0.028670004298260738, -0.16912511141624215, -0.30310995356981146, 0.35564988675029124, -0.03864978963162664, 0.187306773616001, 0.008876668495061092, 0.1275262095434808, -0.03827946115323061, -0.03015769232432683, -0.09867113509855784, -0.1597932146234048, 0.13468481513514552, 0.32140400462112456, 0.06566440824657506, 0.17032941038785285, -0.3624726400472397, -0.08401677526295358, 0.19652047022895583, 0.20564335982618465, 0.03527636243826385, 0.019849573262035847, -0.2350712536595935, 0.00704348765497724, -0.15526080952529514, -0.24612280063677666, -0.10747472343825583, -0.030832974554234466, 0.1967807766591567, -0.3212695913389325, 0.08130588793997155, 0.0797361270822368, 0.09343055687756088, -0.038845846678541844, -0.19175074910095266, 0.0051390562303970716, 0.0649261481973321, 0.0073828702240229345, -0.0138149234793842, -0.0401753808350064, -0.08359369684584698, -0.13192650780885826, 0.3487670385971839, -0.015072040158313114, -0.33951606136898316, 0.10872804334517135, -0.14821075086027038, -0.18030917786364986, 0.1097913325146967, 0.18156291900180974, 0.14828097129370585, -0.08263793214072668, 0.07969116671674148, -0.1255229257133811, 0.0574440844140427, 0.1563981248737248, 0.03942829335844794, 0.17512088086317987, -0.09481024941927645, 0.007569337430204329, 0.21193224704840632, 0.07711910329174337, -0.1509069810285731, -0.3245188789009008, -0.17618253489219865, -0.13132942340141812, 0.07788525413461896, -0.1708310761884583, -0.22584026938217672, 0.4705397657356983, 0.04976528886975778, 0.15832185760400322, 0.12720006301073183, 0.1315904315777643, 0.23465715594411027, 0.08777664580144161, 0.03269395363235543, 0.1178448356601388, 0.2316376704771375, 0.06626483359439082, -0.17252936116609247, 0.021104490599354056, 0.24166994660464658] |
712.0059 | Entanglement-induced Decoherence and Energy Eigenstates | Using recent results in the field of quantum chaos we derive explicit
expressions for the time scale of decoherence induced by the system-environment
entanglement. For a generic system-environment interaction and for a generic
quantum chaotic system as environment, conditions are derived for energy
eigenstates to be preferred states in the weak coupling regime. A simple model
is introduced to numerically confirm our predictions. The results presented
here may also help understanding the dynamics of quantum entanglement
generation in chaotic quantum systems.
| quant-ph | using recent results in the field of quantum chaos we derive explicit expressions for the time scale of decoherence induced by the systemenvironment entanglement for a generic systemenvironment interaction and for a generic quantum chaotic system as environment conditions are derived for energy eigenstates to be preferred states in the weak coupling regime a simple model is introduced to numerically confirm our predictions the results presented here may also help understanding the dynamics of quantum entanglement generation in chaotic quantum systems | [['using', 'recent', 'results', 'in', 'the', 'field', 'of', 'quantum', 'chaos', 'we', 'derive', 'explicit', 'expressions', 'for', 'the', 'time', 'scale', 'of', 'decoherence', 'induced', 'by', 'the', 'systemenvironment', 'entanglement', 'for', 'a', 'generic', 'systemenvironment', 'interaction', 'and', 'for', 'a', 'generic', 'quantum', 'chaotic', 'system', 'as', 'environment', 'conditions', 'are', 'derived', 'for', 'energy', 'eigenstates', 'to', 'be', 'preferred', 'states', 'in', 'the', 'weak', 'coupling', 'regime', 'a', 'simple', 'model', 'is', 'introduced', 'to', 'numerically', 'confirm', 'our', 'predictions', 'the', 'results', 'presented', 'here', 'may', 'also', 'help', 'understanding', 'the', 'dynamics', 'of', 'quantum', 'entanglement', 'generation', 'in', 'chaotic', 'quantum', 'systems']] | [-0.1782092991411502, 0.19741360390167914, -0.08859939425378854, 0.11249816887954503, 0.021541991814350087, -0.16523349920667155, 0.015553294244095867, 0.31237263455527065, -0.2398445710833012, -0.23617941342340207, 0.05598907927654822, -0.2010562162110467, -0.17355634290495037, 0.25291057970420816, 0.009058570046621708, 0.10811026677213333, 0.09004621643481063, 0.014138995735894567, -0.028181838343080915, -0.20017511696543222, 0.32855429764216143, 0.07830434291979965, 0.25968304866016556, 0.09488652547660434, 0.08068784110730996, -0.020216651887483436, 0.056863710560180525, -0.002283520812605634, -0.15538635127315367, 0.078060530409947, 0.24283237004276065, 0.07495709738613647, 0.2249592870565844, -0.4415013185115876, -0.23116003321828665, 0.07000718524041413, 0.1275916491681135, 0.23201846713085233, -0.06237287283012712, -0.37321290256524525, 0.03076403409840516, -0.18539239980142425, -0.16314030482928144, -0.14321551136212585, 0.029893537978986622, -0.03105657571857726, -0.3081404007971287, 0.10454900849022741, 0.07606907676974381, 0.05798291711619607, -0.027016075402728202, 0.023325792084057113, 0.023427482041886744, 0.14503975913868528, -0.037220087067661, -0.029107373857433783, 0.12727194028133296, -0.14738043063078765, -0.16407069889828563, 0.35892995375633974, -0.0990805611629499, -0.21556501830985517, 0.2144775058309559, -0.10944719330327195, -0.10785845227045134, 0.05053094527281729, 0.15094666677400653, 0.08067191630187961, -0.16597545506823577, 0.09911456037194893, 0.011295645014831313, 0.15556416380000704, -0.010220949497809748, 0.1208072558482304, 0.2105451117005245, 0.10564914878089855, 0.026837721547502795, 0.16697956006945236, -0.02343665192156662, -0.21964649794002375, -0.30635088022200413, -0.15346694445628442, -0.22446008762459696, 0.0681341712501038, -0.09648769433350722, -0.11833121559732122, 0.44227206072321645, 0.18589068763676664, 0.1700997918062372, 0.0579446315575667, 0.25533097133005933, 0.1658929849077982, 0.0028600871482473097, 0.044063727635844256, 0.2949340892955661, 0.15357669946783578, 0.07690888849075561, -0.2805724638617701, 0.047809624856188435, 0.06297320131511416] |
712.006 | Dark-State Polaritons for multi-component and stationary light fields | We present a general scheme to determine the loss-free adiabatic
eigensolutions (dark-state polaritons) of the interaction of multiple probe
laser beams with a coherently driven atomic ensemble under conditions of
electromagnetically induced transparency. To this end we generalize the
Morris-Shore transformation to linearized Heisenberg-Langevin equations
describing the coupled light-matter system in the weak excitation limit. For
the simple lambda-type coupling scheme the generalized Morris-Shore
transformation reproduces the dark-state polariton solutions of slow light.
Here we treat a closed-loop dual-V scheme wherein two counter-propagating
control fields generate a quasi stationary pattern of two counter-propagating
probe fields -- so-called stationary light. We show that contrary to previous
predictions,there exists a single unique dark-state polariton; it obeys a
simple propagation equation.
| quant-ph | we present a general scheme to determine the lossfree adiabatic eigensolutions darkstate polaritons of the interaction of multiple probe laser beams with a coherently driven atomic ensemble under conditions of electromagnetically induced transparency to this end we generalize the morrisshore transformation to linearized heisenberglangevin equations describing the coupled lightmatter system in the weak excitation limit for the simple lambdatype coupling scheme the generalized morrisshore transformation reproduces the darkstate polariton solutions of slow light here we treat a closedloop dualv scheme wherein two counterpropagating control fields generate a quasi stationary pattern of two counterpropagating probe fields socalled stationary light we show that contrary to previous predictionsthere exists a single unique darkstate polariton it obeys a simple propagation equation | [['we', 'present', 'a', 'general', 'scheme', 'to', 'determine', 'the', 'lossfree', 'adiabatic', 'eigensolutions', 'darkstate', 'polaritons', 'of', 'the', 'interaction', 'of', 'multiple', 'probe', 'laser', 'beams', 'with', 'a', 'coherently', 'driven', 'atomic', 'ensemble', 'under', 'conditions', 'of', 'electromagnetically', 'induced', 'transparency', 'to', 'this', 'end', 'we', 'generalize', 'the', 'morrisshore', 'transformation', 'to', 'linearized', 'heisenberglangevin', 'equations', 'describing', 'the', 'coupled', 'lightmatter', 'system', 'in', 'the', 'weak', 'excitation', 'limit', 'for', 'the', 'simple', 'lambdatype', 'coupling', 'scheme', 'the', 'generalized', 'morrisshore', 'transformation', 'reproduces', 'the', 'darkstate', 'polariton', 'solutions', 'of', 'slow', 'light', 'here', 'we', 'treat', 'a', 'closedloop', 'dualv', 'scheme', 'wherein', 'two', 'counterpropagating', 'control', 'fields', 'generate', 'a', 'quasi', 'stationary', 'pattern', 'of', 'two', 'counterpropagating', 'probe', 'fields', 'socalled', 'stationary', 'light', 'we', 'show', 'that', 'contrary', 'to', 'previous', 'predictionsthere', 'exists', 'a', 'single', 'unique', 'darkstate', 'polariton', 'it', 'obeys', 'a', 'simple', 'propagation', 'equation']] | [-0.21046902317877697, 0.21798861753600446, -0.12193097740654713, 0.048696619825964065, -0.03885206277887134, -0.20158166866749525, 0.032804462676057994, 0.39188186220986687, -0.2900194953803135, -0.20143038788405448, -0.06580406243295368, -0.20927655076122154, -0.12398652608870812, 0.18528752508370772, 0.035953719217492186, 0.0670530422023781, 0.03198652777203318, -0.0434092686774776, -0.009380115825763863, -0.1381294337141773, 0.31655473978380144, -0.023833772966273776, 0.365818989135163, -0.005435967883196376, 0.19767718852254684, 0.029776824256101543, 0.08199494685370314, -0.06788699047781689, -0.12926337868614254, 0.05287941321933075, 0.18275114103756926, 0.03127771792933345, 0.24549799417348012, -0.4581689980690894, -0.22683519502372845, 0.07380783430746068, 0.16444331086848094, 0.23174584498527742, -0.0740664220455548, -0.31293606071368507, -0.02989673672810845, -0.12990251752831367, -0.22389968779828887, -0.083568347700993, -0.06422665591311195, 0.03493791031803045, -0.3081637591508258, 0.014873563834534372, 0.06539860686651715, 0.0017048939968884477, -0.06518806713967301, 0.06936515741981567, 0.006224438212002101, 0.012813270120355097, -0.060508982343194274, -0.00830776516712554, 0.12863949537277222, -0.09541288278440176, -0.08780275518884477, 0.37205926228476605, -0.17781768107948745, -0.19250645209508746, 0.18579401395729053, -0.1106635133338505, -0.04687729979278115, 0.16546923948208922, 0.15393759509062638, 0.1434532941683479, -0.18343838863884626, 0.04546801253910298, -0.08701252390266112, 0.15975312008623682, 0.1661572702390992, 0.10617398984740367, 0.18198759273990342, 0.15640469544931598, 0.05312069691717625, 0.16515573317023075, -0.0337949624447071, -0.14699289246421793, -0.28579309779148465, -0.0978865527699742, -0.1357848308170619, 0.07948808892751517, -0.029636721260359752, -0.1674189301713815, 0.4293715214248273, 0.139173869944542, 0.12303915927996455, -0.0289606219076592, 0.31091935891637823, 0.21208799807759732, -0.013275803949521936, 0.05428098864124521, 0.30972501075138215, 0.21780656200793128, 0.07179820117257212, -0.335320475867585, -0.07717569899218886, 0.07638977221415742] |
712.0061 | Feshbach shape resonance for high Tc superconductivity in superlattices
of nanotubes | The case of a Feshbach shape resonance in the pairing mechanism for high T c
superconductivity in a crystalline lattice of doped metallic nanotubes is
described. The superlattice of doped metallic nanotubes provides a
superconductor with a strongly asymmetric gap. The disparity and different
spatial locations of the wave functions of electrons in different subbands at
the Fermi level should suppress the single electron impurity interband
scattering giving multiband superconductivity in the clean limit. The Feshbach
resonances will arise from the component single-particle wave functions out of
which the electron pair wave function is constructed: pairs of wave functions
which are time inverse of each other. The Feshbach shape resonance increases
the critical temperature by tuning the chemical potential at the Lifshitz
electronic topological transition (ETT) where the Fermi surface of one of the
bands changes from the one dimensional (1D) to the two dimensional (2D)
topology (1D/2D ETT).
| cond-mat.supr-con cond-mat.mtrl-sci | the case of a feshbach shape resonance in the pairing mechanism for high t c superconductivity in a crystalline lattice of doped metallic nanotubes is described the superlattice of doped metallic nanotubes provides a superconductor with a strongly asymmetric gap the disparity and different spatial locations of the wave functions of electrons in different subbands at the fermi level should suppress the single electron impurity interband scattering giving multiband superconductivity in the clean limit the feshbach resonances will arise from the component singleparticle wave functions out of which the electron pair wave function is constructed pairs of wave functions which are time inverse of each other the feshbach shape resonance increases the critical temperature by tuning the chemical potential at the lifshitz electronic topological transition ett where the fermi surface of one of the bands changes from the one dimensional 1d to the two dimensional 2d topology 1d2d ett | [['the', 'case', 'of', 'a', 'feshbach', 'shape', 'resonance', 'in', 'the', 'pairing', 'mechanism', 'for', 'high', 't', 'c', 'superconductivity', 'in', 'a', 'crystalline', 'lattice', 'of', 'doped', 'metallic', 'nanotubes', 'is', 'described', 'the', 'superlattice', 'of', 'doped', 'metallic', 'nanotubes', 'provides', 'a', 'superconductor', 'with', 'a', 'strongly', 'asymmetric', 'gap', 'the', 'disparity', 'and', 'different', 'spatial', 'locations', 'of', 'the', 'wave', 'functions', 'of', 'electrons', 'in', 'different', 'subbands', 'at', 'the', 'fermi', 'level', 'should', 'suppress', 'the', 'single', 'electron', 'impurity', 'interband', 'scattering', 'giving', 'multiband', 'superconductivity', 'in', 'the', 'clean', 'limit', 'the', 'feshbach', 'resonances', 'will', 'arise', 'from', 'the', 'component', 'singleparticle', 'wave', 'functions', 'out', 'of', 'which', 'the', 'electron', 'pair', 'wave', 'function', 'is', 'constructed', 'pairs', 'of', 'wave', 'functions', 'which', 'are', 'time', 'inverse', 'of', 'each', 'other', 'the', 'feshbach', 'shape', 'resonance', 'increases', 'the', 'critical', 'temperature', 'by', 'tuning', 'the', 'chemical', 'potential', 'at', 'the', 'lifshitz', 'electronic', 'topological', 'transition', 'ett', 'where', 'the', 'fermi', 'surface', 'of', 'one', 'of', 'the', 'bands', 'changes', 'from', 'the', 'one', 'dimensional', '1d', 'to', 'the', 'two', 'dimensional', '2d', 'topology', '1d2d', 'ett']] | [-0.18308235951793073, 0.2166834848920421, -0.03554977089691682, 0.06336555687629386, -0.01950498376722954, -0.1835357820702679, 0.09131579099991828, 0.37063069509079793, -0.2678467728347586, -0.2251257739161085, -0.05425143564094933, -0.34240683356937546, -0.09225572129999031, 0.1372727868178447, 0.09513338132380139, 0.051255997193874886, -0.01948804791622964, -0.030902508446234184, -0.1436156391680058, -0.19585086101972365, 0.3567155092679614, 0.016849149731081606, 0.3132340410511766, 0.11408992661725754, 0.0067637072588573365, 0.039771360273304204, 0.1362570114634953, -0.03507399849356121, -0.11907394915419137, 0.06109959504301636, 0.30231786359901597, -0.11273043434488768, 0.18573080522364518, -0.4269455548300839, -0.2490072396799497, -0.010572252520078781, 0.1503881502790289, 0.14127359105799123, -0.02563577677488902, -0.30926645260722996, -0.007186849473431806, -0.11604409497004665, -0.1465830583806656, -0.02121501547462563, -0.012013922362657102, 0.010577905623104749, -0.24258337673987418, 0.0888483893288762, 0.04184672313831409, 0.06657172338693285, -0.09420900018073168, -0.1163088850608258, -0.09847744879931611, 0.052010073201518334, 0.027957535039433497, 0.06848775781163689, 0.18918257984238984, -0.132430838901591, -0.07603895464512025, 0.3564384825990204, -0.06640568450593308, -0.11436750078511318, 0.2060004699578346, -0.2094249510450051, -0.025431729225955917, 0.2257143928413123, 0.11500559762454649, 0.06291085715568155, -0.12090069049306763, 0.10279737774642292, -0.02934686973301894, 0.14550311103363164, 0.06736156592558094, 0.09068058374581621, 0.28907792357221596, 0.18288330405781783, 0.046925478746126965, 0.13040334098205134, -0.17947729280602887, -0.0129174646615182, -0.23794736765518834, -0.14874214079112263, -0.2631183089313391, 0.0207214230752, -0.05882146004452636, -0.22534955721879815, 0.47113385554028037, 0.0814279995963365, 0.20917010297311234, -0.0903633840713375, 0.20904974257276587, 0.17136321979381094, 0.07511572992771351, 0.010444145008996628, 0.22617292374016204, 0.11904813340183773, 0.08690787792430828, -0.30849789377441006, -0.007758127347309917, 0.04684984785092107] |
712.0062 | Multiplicity and angular distribution of particles emitted in
relativistic nuclear-nuclear interactions | We discuss the experimental results on the behavior of the average
multiplicities and angular distributions of slow particles emitted in
hadron-nuclear and nuclear-nuclear interactions at relativistic energies as a
function of the centrality of collisions. It is observed that by increasing the
mass of the projectiles the angular distributions of slow particles change and
the structure which was demonstrated in the case of pi-mesons, protons and
light nuclear projectiles, almost disappears. During the interaction of the
heavier projectile with nuclear target, the number of secondary interactions as
well as number of nucleon-nucleon elastic scattering and re-scattering events
increases. We suggest to restore this information using the heavy ion
generators taking into account the multiplicity distributions. Because our
investigations show that the formation of the percolation cluster sufficiently
influences the behaviour of the average multiplicity of the slow particles
emitted in these interactions.
| nucl-ex | we discuss the experimental results on the behavior of the average multiplicities and angular distributions of slow particles emitted in hadronnuclear and nuclearnuclear interactions at relativistic energies as a function of the centrality of collisions it is observed that by increasing the mass of the projectiles the angular distributions of slow particles change and the structure which was demonstrated in the case of pimesons protons and light nuclear projectiles almost disappears during the interaction of the heavier projectile with nuclear target the number of secondary interactions as well as number of nucleonnucleon elastic scattering and rescattering events increases we suggest to restore this information using the heavy ion generators taking into account the multiplicity distributions because our investigations show that the formation of the percolation cluster sufficiently influences the behaviour of the average multiplicity of the slow particles emitted in these interactions | [['we', 'discuss', 'the', 'experimental', 'results', 'on', 'the', 'behavior', 'of', 'the', 'average', 'multiplicities', 'and', 'angular', 'distributions', 'of', 'slow', 'particles', 'emitted', 'in', 'hadronnuclear', 'and', 'nuclearnuclear', 'interactions', 'at', 'relativistic', 'energies', 'as', 'a', 'function', 'of', 'the', 'centrality', 'of', 'collisions', 'it', 'is', 'observed', 'that', 'by', 'increasing', 'the', 'mass', 'of', 'the', 'projectiles', 'the', 'angular', 'distributions', 'of', 'slow', 'particles', 'change', 'and', 'the', 'structure', 'which', 'was', 'demonstrated', 'in', 'the', 'case', 'of', 'pimesons', 'protons', 'and', 'light', 'nuclear', 'projectiles', 'almost', 'disappears', 'during', 'the', 'interaction', 'of', 'the', 'heavier', 'projectile', 'with', 'nuclear', 'target', 'the', 'number', 'of', 'secondary', 'interactions', 'as', 'well', 'as', 'number', 'of', 'nucleonnucleon', 'elastic', 'scattering', 'and', 'rescattering', 'events', 'increases', 'we', 'suggest', 'to', 'restore', 'this', 'information', 'using', 'the', 'heavy', 'ion', 'generators', 'taking', 'into', 'account', 'the', 'multiplicity', 'distributions', 'because', 'our', 'investigations', 'show', 'that', 'the', 'formation', 'of', 'the', 'percolation', 'cluster', 'sufficiently', 'influences', 'the', 'behaviour', 'of', 'the', 'average', 'multiplicity', 'of', 'the', 'slow', 'particles', 'emitted', 'in', 'these', 'interactions']] | [-0.09541730139024136, 0.2686178874401507, -0.13442504108501402, 0.11428900866918462, 0.03905313530884368, -0.04338603454287833, -0.022045962812549526, 0.3431902850230395, -0.2306255279076089, -0.33673667842128746, -0.04373553009543069, -0.35153190612556856, -0.00698400057301345, 0.11675213608303776, 0.05982122763755246, 0.026808544134222706, 0.10909775353174551, 0.05236545112967806, -0.03713960424278745, -0.18151383208025668, 0.32478870061541004, 0.1284387117312421, 0.22047929394937738, 0.14978045078558505, 0.09519528579885062, 0.10772917961413173, -0.0027306195033687942, -6.020361636306199e-05, -0.0885173128758972, 0.060151790293749514, 0.1799686728852873, 0.06528125817372635, 0.183800378963548, -0.42135348137874734, -0.19370625977417533, 0.11298030914581368, 0.18146155213832227, 0.10143807270928142, -0.07788960897104658, -0.26293741853769975, 0.019599114978787635, -0.20437229216807115, -0.17309677119130715, -0.012470000020136505, 0.04787849262356758, 0.12776552738038113, -0.2568426815531394, 0.09387115246130967, 0.059209089426973074, 0.02935712398718518, -0.08634075504058683, -0.1517504926829953, -0.0838898220607801, 0.08860223776083702, 0.1507174064336397, -0.012387840002676813, 0.20732948652462063, -0.15466798178467925, -0.07003702550247626, 0.38920660703902094, 0.006836294670405627, -0.12895434314358822, 0.18525774453432156, -0.22432959950069936, -0.10432199226355371, 0.19620390096023468, 0.22882518709824146, 0.12475878988969809, -0.12185821349078356, 0.005265727141973707, -0.00041782758838142936, 0.1441214047303937, 0.08002246893994824, 0.061065689501562485, 0.17308833451390687, 0.19410901553240198, -0.026218183984665175, 0.11378572806463869, -0.13973123097011794, -0.09530940831927451, -0.3007867265440209, -0.12209120217930447, -0.1704530267628618, 0.03178818579468037, -0.09453953618893292, -0.0990470753077575, 0.3641949966156357, 0.10077875167046162, 0.2622999661568467, 0.007336099375478766, 0.2738137023038113, 0.0879421524201769, 0.06575481856260679, 0.06593444810288263, 0.2997345462520148, 0.1673795167769922, 0.11196133924949862, -0.29348161146635005, 0.09043884482956163, 0.00996930785903471] |
712.0063 | Suppression of the critical current of a balanced SQUID | We present an experimental study of the magnetic flux dependence of the
critical current of a balanced SQUID with three Josephson junctions in
parallel. Unlike for ordinary dc SQUIDs, the suppression of the critical
current does not depend on the exact parameters of the Josephson junctions. The
suppression is essentially limited only by the inductances of the SQUID loops.
We demonstrate a critical current suppression ratio of higher than 300 in a
balanced SQUID with a maximum critical current 30 nA.
| cond-mat.mes-hall cond-mat.supr-con | we present an experimental study of the magnetic flux dependence of the critical current of a balanced squid with three josephson junctions in parallel unlike for ordinary dc squids the suppression of the critical current does not depend on the exact parameters of the josephson junctions the suppression is essentially limited only by the inductances of the squid loops we demonstrate a critical current suppression ratio of higher than 300 in a balanced squid with a maximum critical current 30 na | [['we', 'present', 'an', 'experimental', 'study', 'of', 'the', 'magnetic', 'flux', 'dependence', 'of', 'the', 'critical', 'current', 'of', 'a', 'balanced', 'squid', 'with', 'three', 'josephson', 'junctions', 'in', 'parallel', 'unlike', 'for', 'ordinary', 'dc', 'squids', 'the', 'suppression', 'of', 'the', 'critical', 'current', 'does', 'not', 'depend', 'on', 'the', 'exact', 'parameters', 'of', 'the', 'josephson', 'junctions', 'the', 'suppression', 'is', 'essentially', 'limited', 'only', 'by', 'the', 'inductances', 'of', 'the', 'squid', 'loops', 'we', 'demonstrate', 'a', 'critical', 'current', 'suppression', 'ratio', 'of', 'higher', 'than', '300', 'in', 'a', 'balanced', 'squid', 'with', 'a', 'maximum', 'critical', 'current', '30', 'na']] | [-0.26005480833420597, 0.1525349415147772, 0.051232620176893694, -0.003079190331419217, -0.041716389941557505, -0.14712811720178084, 0.10255729605696727, 0.3175641647022631, -0.15658910411559504, -0.326619988537313, 0.018438886520510286, -0.3034871033864257, -0.09453360670257682, 0.2627675918241342, 0.0024359058358787017, 0.028937401692670436, -0.007606811557011104, 0.040055880001113736, -0.0994217150879127, -0.18260425700587624, 0.3091537661212324, 0.03534998675164433, 0.3917252475303816, 0.09589150612368996, 0.07868796821545672, -0.07367630997948625, 0.04733032124967855, 0.09094238591690858, -0.13324294616410762, 0.012504552514004855, 0.1707271180908989, -0.030130714160838613, 0.17707213672757563, -0.4888354323942352, -0.16355297397132273, 0.09597008297058904, 0.17516289933521392, 0.11658082724215439, 0.01294287525686539, -0.1928155394156038, 0.10542716156047435, -0.1173635332868147, -0.0516411743434376, 0.001431488133047098, -0.018273312517982206, 0.07517182623197174, -0.27291058304570154, 0.06970176407722412, 0.0663921155501157, 0.11146679244659564, -0.0022846718813166206, -0.12621216421923886, 0.019573370063746418, 0.02597059650392628, -0.047334720521452434, 0.06145465850289681, 0.19986621552595385, -0.18771335075574894, -0.13143602726452144, 0.2432418619799945, -0.08264351738879118, -0.1344307316352188, 0.11830665374082731, -0.2016170958896386, -0.05158216588164645, 0.14214749822829975, 0.04610109605674091, 0.091697473147953, -0.15190806176605415, 0.03685725801681847, 0.009626894441927656, 0.18016465774012935, 0.050452431514399286, 0.031126221871854348, 0.24542334392367873, 0.23867451451304886, 0.0999412029352108, 0.14456157164395222, -0.13243071621939265, -0.05506480626623939, -0.2994236267174675, -0.11365877278580296, -0.14559082899466846, 0.096306544202732, -0.10336343042644454, -0.23673803534036802, 0.4186880067565743, 0.209530781586597, 0.2182869632946856, -0.03865677848412299, 0.3669998810431104, 0.1777971592547809, 0.10447510215741249, 0.036714586377557784, 0.2699190063379061, 0.17394889357936694, 0.16643260968676596, -0.3374385441205016, 0.05865815955064731, -0.0467589356718056] |
712.0064 | Melting of Single Lipid Components in Binary Lipid Mixtures: A
Comparison between FTIR Spectroscopy, DSC and Monte Carlo Simulations | Monte Carlo (MC) Simulations, Differential Scanning Calorimetry (DSC) and
Fourier Transform InfraRed (FTIR) spectroscopy were used to study the melting
behavior of single lipid components in two-component membranes of
1,2-Dimyristoyl-D54-sn-Glycero-3-Phosphocholine (DMPC-d54) and
1,2-Distearoyl-sn-Glycero-3-Phosphocholine (DSPC). Microscopic information on
the temperature dependent melting of the single lipid species could be
investigated using FTIR. The microscopic behavior measured could be well
described by the results from the MC simulations. These simulations also
allowed to calculate heat capacity profiles as determined with DSC. These ones
provide macroscopic information about melting enthalpies and entropy changes
which are not accessible with FTIR. Therefore, the MC simulations allowed us to
link the two different experimental approaches of FTIR and DSC.
| physics.bio-ph | monte carlo mc simulations differential scanning calorimetry dsc and fourier transform infrared ftir spectroscopy were used to study the melting behavior of single lipid components in twocomponent membranes of 12dimyristoyld54snglycero3phosphocholine dmpcd54 and 12distearoylsnglycero3phosphocholine dspc microscopic information on the temperature dependent melting of the single lipid species could be investigated using ftir the microscopic behavior measured could be well described by the results from the mc simulations these simulations also allowed to calculate heat capacity profiles as determined with dsc these ones provide macroscopic information about melting enthalpies and entropy changes which are not accessible with ftir therefore the mc simulations allowed us to link the two different experimental approaches of ftir and dsc | [['monte', 'carlo', 'mc', 'simulations', 'differential', 'scanning', 'calorimetry', 'dsc', 'and', 'fourier', 'transform', 'infrared', 'ftir', 'spectroscopy', 'were', 'used', 'to', 'study', 'the', 'melting', 'behavior', 'of', 'single', 'lipid', 'components', 'in', 'twocomponent', 'membranes', 'of', '12dimyristoyld54snglycero3phosphocholine', 'dmpcd54', 'and', '12distearoylsnglycero3phosphocholine', 'dspc', 'microscopic', 'information', 'on', 'the', 'temperature', 'dependent', 'melting', 'of', 'the', 'single', 'lipid', 'species', 'could', 'be', 'investigated', 'using', 'ftir', 'the', 'microscopic', 'behavior', 'measured', 'could', 'be', 'well', 'described', 'by', 'the', 'results', 'from', 'the', 'mc', 'simulations', 'these', 'simulations', 'also', 'allowed', 'to', 'calculate', 'heat', 'capacity', 'profiles', 'as', 'determined', 'with', 'dsc', 'these', 'ones', 'provide', 'macroscopic', 'information', 'about', 'melting', 'enthalpies', 'and', 'entropy', 'changes', 'which', 'are', 'not', 'accessible', 'with', 'ftir', 'therefore', 'the', 'mc', 'simulations', 'allowed', 'us', 'to', 'link', 'the', 'two', 'different', 'experimental', 'approaches', 'of', 'ftir', 'and', 'dsc']] | [-0.03584210954287702, 0.1578687104996428, -0.14366238845747198, 0.03698326734540699, -0.01651062273529467, -0.138482429229797, 0.05096183958681518, 0.3985349720864146, -0.2676154033759156, -0.3153905304283038, 0.07805629698706472, -0.3655533769067276, -0.10120879290919113, 0.21053123211714667, 0.03897449561512215, 0.1348759283622106, 0.01202806661551533, -0.04450761159931242, -0.07548833220593028, -0.18870326899713627, 0.2175153363663871, 0.10532326322166366, 0.2996641079484074, 0.08736595305035243, 0.051288268444975756, 0.0139004178848621, -0.06406647195989215, 0.047753061142724915, -0.2529918500138363, 0.07159261562740105, 0.28520778531988933, -0.0006019163222329036, 0.12237344145972014, -0.4808730139032107, -0.28330105300657116, 0.027365842347478006, 0.1571319760998023, 0.033903667232365695, -0.036262362521049474, -0.2609484210476145, 0.03371116483735072, -0.11261535425007611, -0.06715012818725931, -0.14650135342165962, -0.11252985690795891, 0.05935187924963733, -0.22355071489220937, 0.138961597439898, -0.09042747746544748, 0.11974223631618729, -0.12646044234468326, -0.11581076151347375, -0.08334548310754267, 0.12839632901113462, 0.014377574309463369, -0.017655192001781485, 0.243349704027243, -0.06024917839346705, -0.10490769959633818, 0.31130378812484377, -0.04908399212987976, -0.1488634825289262, 0.23323224206362758, -0.18492335006846367, -0.08113220216588932, 0.21788746334176073, 0.06539736412096399, 0.11378664257390811, -0.23642218129726145, -0.0381141611256795, -0.0018690422949221757, 0.23232082231389778, 0.07910763485323605, -1.4029795656333098e-05, 0.1977431873648285, 0.16017911961482553, -0.1117388944059368, 0.14744569954560935, -0.14713359725879724, -0.1338013016979571, -0.1895009225049803, -0.18767747952946806, -0.18106904507169988, 0.03705484599416744, -0.08364243633355023, -0.13465551950922655, 0.3019204553791431, 0.11395172125015927, 0.16329449695023196, -0.013596391849647704, 0.2986217622534028, 0.06873285828204406, 0.05932511998390829, -0.03303649323900138, 0.1997260114446551, 0.1712088525622479, 0.14968151982185673, -0.3184100523620408, 0.09550877992558789, 0.021121440933564224] |
712.0065 | Linear arrays of non homogeneous Cu sites in the CuO2 plane, a new
scenario for pairing mechanisms in a currugated-iron-like plane | Experimental results obtained by using x-ray absorption spectroscopy show
that the configurations of Cu sites in the CuO2 plane of Bi 2:2:1:2 high Tc
superconductors are not homogeneous. Different Cu sites are characterized by
short 0.23 nm and long 0.245 nm Cu-O(apical) distances. The linear arrays of
different Cu sites forming domains with a corrugated-iron like shape is
proposed to be a key characteristic of superconducting domains in the CuO2
plane. The wavelength of the modulation is close to the superconducting
coherence length. The ordering of the distorted Cu sites is suggested to be
evidence for ordering of polarons driven by the pseudo Jahn Teller electron
lattice interaction. The Cu L3 XAS experiments on Bi 2:2:1:2 system indicate
that the electronic states added by doping, 4% have the a1 symmetry (i.e. with
Cu 3d(3z2-r2), the combination of O (planar) 2px,y orbital with a1 symmetry
L(a1), and O(apical) 2pz orbital character) and 15% have the b1 symmetry
(3d(x2-y2) and the combination of O (planar) 2p(x,y) orbital with b1 symmetry
L(b1)). This new scenario supports the pairing mechanisms for high Tc
superconductivity in the presence of two components: 1) the more delocalized
component with b1 symmetry and 2) the more localized component, with partially
a1 symmetry associated with different parts of the Fermi surface.
| cond-mat.supr-con cond-mat.mtrl-sci | experimental results obtained by using xray absorption spectroscopy show that the configurations of cu sites in the cuo2 plane of bi 2212 high tc superconductors are not homogeneous different cu sites are characterized by short 023 nm and long 0245 nm cuoapical distances the linear arrays of different cu sites forming domains with a corrugatediron like shape is proposed to be a key characteristic of superconducting domains in the cuo2 plane the wavelength of the modulation is close to the superconducting coherence length the ordering of the distorted cu sites is suggested to be evidence for ordering of polarons driven by the pseudo jahn teller electron lattice interaction the cu l3 xas experiments on bi 2212 system indicate that the electronic states added by doping 4 have the a1 symmetry ie with cu 3d3z2r2 the combination of o planar 2pxy orbital with a1 symmetry la1 and oapical 2pz orbital character and 15 have the b1 symmetry 3dx2y2 and the combination of o planar 2pxy orbital with b1 symmetry lb1 this new scenario supports the pairing mechanisms for high tc superconductivity in the presence of two components 1 the more delocalized component with b1 symmetry and 2 the more localized component with partially a1 symmetry associated with different parts of the fermi surface | [['experimental', 'results', 'obtained', 'by', 'using', 'xray', 'absorption', 'spectroscopy', 'show', 'that', 'the', 'configurations', 'of', 'cu', 'sites', 'in', 'the', 'cuo2', 'plane', 'of', 'bi', '2212', 'high', 'tc', 'superconductors', 'are', 'not', 'homogeneous', 'different', 'cu', 'sites', 'are', 'characterized', 'by', 'short', '023', 'nm', 'and', 'long', '0245', 'nm', 'cuoapical', 'distances', 'the', 'linear', 'arrays', 'of', 'different', 'cu', 'sites', 'forming', 'domains', 'with', 'a', 'corrugatediron', 'like', 'shape', 'is', 'proposed', 'to', 'be', 'a', 'key', 'characteristic', 'of', 'superconducting', 'domains', 'in', 'the', 'cuo2', 'plane', 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'presence', 'of', 'two', 'components', '1', 'the', 'more', 'delocalized', 'component', 'with', 'b1', 'symmetry', 'and', '2', 'the', 'more', 'localized', 'component', 'with', 'partially', 'a1', 'symmetry', 'associated', 'with', 'different', 'parts', 'of', 'the', 'fermi', 'surface']] | [-0.18363258726658652, 0.20771504517482675, 0.0376201880733586, 0.011304688400359473, -0.008071920878067162, -0.1751957519006902, 0.07052587148067564, 0.4121240908504972, -0.24726903699968317, -0.27689195636902814, 0.018298810323731804, -0.3456633140058549, -0.0508260416465357, 0.11140968728977017, 0.07248602224489144, -0.03980365400073222, -0.01820490331667957, -0.05466547752010686, -0.11363206940966294, -0.219875099092434, 0.3097617489703063, 0.020911766186914437, 0.28986292387244117, 0.05580195344552614, -0.002685354691862628, 0.0225849289048895, 0.10773176682780042, -0.0028522772813476802, -0.10982900416594649, 0.11289789140390925, 0.23188426077353502, -0.033701140271580735, 0.14466890032911575, 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712.0066 | Extension of a Borel subalgebra symmetry into the sl(2) loop algebra
symmetry for the twisted XXZ spin chain at roots of unity and the Onsager
algebra | We discuss a conjecture that the twisted transfer matrix of the six-vertex
model at roots of unity with some discrete twist angles should have the sl(2)
loop algebra symmetry. As an evidence of this conjecture, we show the following
mathematical result on a subalgebra of the sl(2) loop algebra, which we call a
Borel subalgebra: any given finite-dimensional highest weight representation of
the Borel subalgebra is extended into that of the sl(2) loop algebra, if the
parameters associated with it are nonzero. Thus, if operators commuting or
anti-commuting with the twisted transfer matrix of the six-vertex model at
roots of unity generate the Borel subalgebra, then they also generate the sl(2)
loop algebra. The result should be useful for studying the connection of the
sl(2) loop algebra symmetry to the Onsager algebra symmetry of the
superintegrable chiral Potts model.
| cond-mat.stat-mech | we discuss a conjecture that the twisted transfer matrix of the sixvertex model at roots of unity with some discrete twist angles should have the sl2 loop algebra symmetry as an evidence of this conjecture we show the following mathematical result on a subalgebra of the sl2 loop algebra which we call a borel subalgebra any given finitedimensional highest weight representation of the borel subalgebra is extended into that of the sl2 loop algebra if the parameters associated with it are nonzero thus if operators commuting or anticommuting with the twisted transfer matrix of the sixvertex model at roots of unity generate the borel subalgebra then they also generate the sl2 loop algebra the result should be useful for studying the connection of the sl2 loop algebra symmetry to the onsager algebra symmetry of the superintegrable chiral potts model | [['we', 'discuss', 'a', 'conjecture', 'that', 'the', 'twisted', 'transfer', 'matrix', 'of', 'the', 'sixvertex', 'model', 'at', 'roots', 'of', 'unity', 'with', 'some', 'discrete', 'twist', 'angles', 'should', 'have', 'the', 'sl2', 'loop', 'algebra', 'symmetry', 'as', 'an', 'evidence', 'of', 'this', 'conjecture', 'we', 'show', 'the', 'following', 'mathematical', 'result', 'on', 'a', 'subalgebra', 'of', 'the', 'sl2', 'loop', 'algebra', 'which', 'we', 'call', 'a', 'borel', 'subalgebra', 'any', 'given', 'finitedimensional', 'highest', 'weight', 'representation', 'of', 'the', 'borel', 'subalgebra', 'is', 'extended', 'into', 'that', 'of', 'the', 'sl2', 'loop', 'algebra', 'if', 'the', 'parameters', 'associated', 'with', 'it', 'are', 'nonzero', 'thus', 'if', 'operators', 'commuting', 'or', 'anticommuting', 'with', 'the', 'twisted', 'transfer', 'matrix', 'of', 'the', 'sixvertex', 'model', 'at', 'roots', 'of', 'unity', 'generate', 'the', 'borel', 'subalgebra', 'then', 'they', 'also', 'generate', 'the', 'sl2', 'loop', 'algebra', 'the', 'result', 'should', 'be', 'useful', 'for', 'studying', 'the', 'connection', 'of', 'the', 'sl2', 'loop', 'algebra', 'symmetry', 'to', 'the', 'onsager', 'algebra', 'symmetry', 'of', 'the', 'superintegrable', 'chiral', 'potts', 'model']] | [-0.16895042771553928, 0.15217677236246968, -0.06481273887049166, 0.03314631974002976, -0.16008660617525683, -0.17808506506823485, -0.049183360120053775, 0.3293332187592876, -0.33776271754621173, -0.16441064632812635, 0.14698371665364654, -0.23500391365223222, -0.14652839667002984, 0.13181354055556355, -0.05175210278355198, 0.013105353343856634, 0.07791581674874258, 0.13817826076913223, -0.15105126785506368, -0.19852088019251823, 0.3897155397270116, -0.0007653925031852379, 0.23523467509143, 0.04189810044678236, 0.13629443334120747, -0.0022768593131959865, 0.04789180780271832, -0.07663392977246332, -0.09722372572318393, 0.0955445725502607, 0.24492112272117528, 0.06036944362743617, 0.15627475344850647, -0.3728262005280033, -0.09192042273851178, 0.17185759344707718, 0.17477149355540172, 0.038647329008454634, 0.0028969393632703013, -0.2771287031217123, 0.06542031201299467, -0.2813435726273108, -0.19691382063110527, -0.06413322325675286, 0.04663541655746295, -0.11901326746957899, -0.2696645073843919, 0.04345325299638337, 0.08067834967196243, 0.1165931564186224, -0.052936828531083654, -0.11034374470025193, -0.14575155840503226, 0.1081563904496218, -0.03227271837527401, 0.04943083689996986, 0.10649314129024931, -0.12480881899719214, -0.19588996000628142, 0.3688465185704634, 0.01955341024444901, -0.2697340238557981, 0.05968962329031109, -0.27122445528482575, -0.23140603548800237, 0.06403673808726905, 0.0458672652908822, 0.04678593395050052, -0.03672451840834223, 0.20354349452251796, -0.18606929044848938, 0.052987137272545275, 0.048007457875546146, -0.03319975926386688, 0.20843926760562353, 0.02754502023215131, 0.01143033953430466, 0.161378719615281, 0.08058551555246503, -0.09730504409463661, -0.39280273824286976, -0.19532180274250455, -0.12997639242546272, 0.13685630626386877, -0.1569720137522643, -0.18137204187433068, 0.42989912382561524, 0.1789712588832104, 0.183171858059631, 0.11159835505322721, 0.19401104323793766, 0.1771670981023876, 0.18216755493081732, 0.04911745922237328, 0.13118816545445022, 0.2509854257562392, -0.025764830701937563, -0.21871800295566377, -0.06763511706079128, 0.22838492318987846] |
712.0067 | Bigravity as an interpretation of the cosmic acceleration | A bimetric description of the universe is proposed, which explains cosmic
acceleration deduced from optically observed high-redshift objects. This
phenomenon is classically charged to a mysterious repulsive "dark energy" whose
true nature is unknown. This is identified in this model with a set of
particles having negative mass and energy. These negative mass particles,
emitting negative energy photons, are not observable using optical instruments.
| physics.gen-ph | a bimetric description of the universe is proposed which explains cosmic acceleration deduced from optically observed highredshift objects this phenomenon is classically charged to a mysterious repulsive dark energy whose true nature is unknown this is identified in this model with a set of particles having negative mass and energy these negative mass particles emitting negative energy photons are not observable using optical instruments | [['a', 'bimetric', 'description', 'of', 'the', 'universe', 'is', 'proposed', 'which', 'explains', 'cosmic', 'acceleration', 'deduced', 'from', 'optically', 'observed', 'highredshift', 'objects', 'this', 'phenomenon', 'is', 'classically', 'charged', 'to', 'a', 'mysterious', 'repulsive', 'dark', 'energy', 'whose', 'true', 'nature', 'is', 'unknown', 'this', 'is', 'identified', 'in', 'this', 'model', 'with', 'a', 'set', 'of', 'particles', 'having', 'negative', 'mass', 'and', 'energy', 'these', 'negative', 'mass', 'particles', 'emitting', 'negative', 'energy', 'photons', 'are', 'not', 'observable', 'using', 'optical', 'instruments']] | [-0.11425839262301452, 0.24725693123036763, -0.088493356051913, 0.17114963256062765, -0.10409380198689178, -0.15960730759979924, -0.03027597159052675, 0.36684535071253777, -0.19219629286817508, -0.3854034436517395, -0.022961841053984244, -0.27928041186532937, -0.030762563284952193, 0.1324689073189802, -0.008929126473958604, -0.03378750939737074, 0.002608532886370085, -0.002282827641465701, 0.0513787070667604, -0.1906349224736914, 0.3126847791718319, 0.11839534647015171, 0.18937022997124586, 0.03386145436161314, 0.165995874809596, -0.08061693170384387, -0.023795182303729234, 0.02092113117396366, -0.12643408663961964, 0.0797138609977992, 0.2243657079343393, 0.058774034114321694, 0.20146220874084975, -0.31117118580732495, -0.2551835080521414, 0.21809359730104916, 0.1638003858479351, 0.10604054254326911, -0.11548496336763492, -0.28298955713398755, 0.0016919727422646247, -0.12378894020366715, -0.18906883896124782, 0.013073883441393264, 0.004339949577115476, -0.02577951506827958, -0.21123505459399894, 0.172061751702131, 0.0007394416898023337, -0.042206102778436616, -0.12849821799318306, -0.04822100462479284, -0.02252105797015247, 0.001784158004738856, 0.10138576240933617, -0.004868640025961213, 0.2103703515167581, -0.13999144724584767, -0.07589650557201821, 0.3987558876979165, -0.04119068897489342, -0.1337847355177928, 0.19898261136404471, -0.18916165053087752, -0.10641554940775677, 0.2157609730529657, 0.116264062038681, 0.10064818589307833, -0.19279954546072986, 0.08628331260024424, -0.06940652354387566, 0.18565895986102987, 0.06425233404479513, 0.0824041489395313, 0.36721435392973945, 0.14749406794726383, -0.027091559684777167, 0.08300635011983104, -0.06797435543558095, -0.05608416665927507, -0.3120802909179474, -0.13811109653761378, -0.2388652290101163, 0.1208402463200855, -0.06430455025815718, -0.18184395994830993, 0.3490310426132055, 0.09750902815358131, 0.2023982205428183, 0.010547134368607658, 0.3310109283775091, 0.0950553844870683, 0.060282249716692604, 0.078624200556078, 0.3460559542727424, 0.12580913853889797, 0.12904759036609903, -0.1970542823364667, 0.04779474021779606, 0.020930121077071817] |
712.0068 | Janet's Algorithm | We have introduced the Janet's algorithm for the Stanley decomposition of a
monomial ideal I in a polynomial ring S = K[x_1,...,x_n] and prove that Janet's
algorithm gives the squarefree Stanley decomposition of S/I for a squarefree
monomial ideal I. We have also shown that the Janet's algorithm gives a
partition of a simplicial complex.
| math.AC | we have introduced the janets algorithm for the stanley decomposition of a monomial ideal i in a polynomial ring s kx_1x_n and prove that janets algorithm gives the squarefree stanley decomposition of si for a squarefree monomial ideal i we have also shown that the janets algorithm gives a partition of a simplicial complex | [['we', 'have', 'introduced', 'the', 'janets', 'algorithm', 'for', 'the', 'stanley', 'decomposition', 'of', 'a', 'monomial', 'ideal', 'i', 'in', 'a', 'polynomial', 'ring', 's', 'kx_1x_n', 'and', 'prove', 'that', 'janets', 'algorithm', 'gives', 'the', 'squarefree', 'stanley', 'decomposition', 'of', 'si', 'for', 'a', 'squarefree', 'monomial', 'ideal', 'i', 'we', 'have', 'also', 'shown', 'that', 'the', 'janets', 'algorithm', 'gives', 'a', 'partition', 'of', 'a', 'simplicial', 'complex']] | [-0.17262253706576303, -0.0013298325335468959, -0.14012957412611554, 0.02857065518145208, -0.03585712509057312, -0.21565214814445763, -0.07676587412478747, 0.32612134840477397, -0.3584743652630735, -0.12920982248356772, 0.03343161169430931, -0.19990502842874439, -0.19406491221377142, 0.12888916033423609, -0.10347981490539732, 0.010632261081978126, 0.045326046283460326, 0.02806629233614162, -0.013281883939203841, -0.39308224590840163, 0.31681853349975964, 0.0385224224516639, 0.17846287866295488, 0.039848676744710515, 0.12791003780094562, -0.04324770453213542, -0.04635365429782757, 0.03988810283718286, -0.23150177409627726, 0.13354048805518282, 0.2765585034740744, 0.20666034024260524, 0.2367894164528008, -0.357947890267328, -0.02780858692885549, 0.21918600264729726, 0.16448579756198106, 0.043943270609748585, -0.008623616377547107, -0.13494335646154704, 0.1413884456269443, -0.19577857127620113, -0.16151282429281208, -0.08163631618609307, 0.15625941988373934, 0.012769531210694738, -0.3897823202941153, -0.08027521145359734, 0.17184816876909248, 0.16430049905277513, -0.009136543678188766, -0.2057753394668301, 0.013177954583187346, -0.06828915016484205, -0.1634430700947565, 0.04044824743781377, 0.008045892351893362, -0.09153896225271402, -0.13863729937346997, 0.3706942821542422, -0.057679036235505785, -0.17837062822999777, 0.056705195318769525, -0.14641919411304924, -0.1509053111076355, 0.15608232197593208, 0.012169602516762636, 0.11250420848416441, 0.027245940692308877, 0.20643804256730988, -0.23956773435283038, 0.035621627889297625, 0.14205088454333167, -0.017992324402762785, 0.13504215888679028, 0.06663886288663855, 0.09064779872197606, 0.2055277609852729, -0.008816470564515502, 0.055125611247839754, -0.2738259348811375, -0.2669161162684085, -0.21430173064409583, 0.14077126048505306, -0.14909994786716266, -0.2019506574590061, 0.4519789050574656, 0.1307815680694249, 0.13847881774806106, 0.12112226927032073, 0.2147736451631688, 0.059180978030242304, -0.0004062350770389592, 0.06673154329743099, 0.09173045338441928, 0.1999535292249035, 0.023149841430562514, -0.17097010801511783, 0.045387628928033844, 0.24413299455341916] |
712.0069 | Generalized Bochner theorem: characterization of the Askey-Wilson
polynomials | Assume that there is a set of monic polynomials $P_n(z)$ satisfying the
second-order difference equation $$ A(s) P_n(z(s+1)) + B(s) P_n(z(s)) + C(s)
P_n(z(s-1)) = \lambda_n P_n(z(s)), n=0,1,2,..., N$$ where $z(s), A(s), B(s),
C(s)$ are some functions of the discrete argument $s$ and $N$ may be either
finite or infinite. The irreducibility condition $A(s-1)C(s) \ne 0$ is assumed
for all admissible values of $s$. In the finite case we assume that there are
$N+1$ distinct grid points $z(s), \: s=0,1,..., N$ such that $z(i) \ne z(j), \:
i \ne j$. If $N=\infty$ we assume that the grid $z(s)$ has infinitely many
different values for different values of $s$. In both finite and infinite cases
we assume also that the problem is non-degenerate, i.e. $\lambda_n \ne
\lambda_m, n \ne m$. Then we show that necessarily: (i) the grid $z(s)$ is at
most quadratic or q-quadratic in $s$; (ii) corresponding polynomials $P_n(z)$
are at most the Askey-Wilson polynomials corresponding to the grid $z(s)$. This
result can be considered as generalizing of the Bochner theorem (characterizing
the ordinary classical polynomials) to generic case of arbitrary difference
operator on arbitrary grids.
| math.CA | assume that there is a set of monic polynomials p_nz satisfying the secondorder difference equation as p_nzs1 bs p_nzs cs p_nzs1 lambda_n p_nzs n012 n where zs as bs cs are some functions of the discrete argument s and n may be either finite or infinite the irreducibility condition as1cs ne 0 is assumed for all admissible values of s in the finite case we assume that there are n1 distinct grid points zs s01 n such that zi ne zj i ne j if ninfty we assume that the grid zs has infinitely many different values for different values of s in both finite and infinite cases we assume also that the problem is nondegenerate ie lambda_n ne lambda_m n ne m then we show that necessarily i the grid zs is at most quadratic or qquadratic in s ii corresponding polynomials p_nz are at most the askeywilson polynomials corresponding to the grid zs this result can be considered as generalizing of the bochner theorem characterizing the ordinary classical polynomials to generic case of arbitrary difference operator on arbitrary grids | [['assume', 'that', 'there', 'is', 'a', 'set', 'of', 'monic', 'polynomials', 'p_nz', 'satisfying', 'the', 'secondorder', 'difference', 'equation', 'as', 'p_nzs1', 'bs', 'p_nzs', 'cs', 'p_nzs1', 'lambda_n', 'p_nzs', 'n012', 'n', 'where', 'zs', 'as', 'bs', 'cs', 'are', 'some', 'functions', 'of', 'the', 'discrete', 'argument', 's', 'and', 'n', 'may', 'be', 'either', 'finite', 'or', 'infinite', 'the', 'irreducibility', 'condition', 'as1cs', 'ne', '0', 'is', 'assumed', 'for', 'all', 'admissible', 'values', 'of', 's', 'in', 'the', 'finite', 'case', 'we', 'assume', 'that', 'there', 'are', 'n1', 'distinct', 'grid', 'points', 'zs', 's01', 'n', 'such', 'that', 'zi', 'ne', 'zj', 'i', 'ne', 'j', 'if', 'ninfty', 'we', 'assume', 'that', 'the', 'grid', 'zs', 'has', 'infinitely', 'many', 'different', 'values', 'for', 'different', 'values', 'of', 's', 'in', 'both', 'finite', 'and', 'infinite', 'cases', 'we', 'assume', 'also', 'that', 'the', 'problem', 'is', 'nondegenerate', 'ie', 'lambda_n', 'ne', 'lambda_m', 'n', 'ne', 'm', 'then', 'we', 'show', 'that', 'necessarily', 'i', 'the', 'grid', 'zs', 'is', 'at', 'most', 'quadratic', 'or', 'qquadratic', 'in', 's', 'ii', 'corresponding', 'polynomials', 'p_nz', 'are', 'at', 'most', 'the', 'askeywilson', 'polynomials', 'corresponding', 'to', 'the', 'grid', 'zs', 'this', 'result', 'can', 'be', 'considered', 'as', 'generalizing', 'of', 'the', 'bochner', 'theorem', 'characterizing', 'the', 'ordinary', 'classical', 'polynomials', 'to', 'generic', 'case', 'of', 'arbitrary', 'difference', 'operator', 'on', 'arbitrary', 'grids']] | [-0.18259300940818238, 0.1496183143714337, -0.02162461856443604, 0.031101603007383263, -0.02802525136956485, -0.23929654571640474, 0.00751500957200981, 0.3280441163435832, -0.27144073284977244, -0.2024959695514884, 0.07982266671950294, -0.30731263396922837, -0.08500891156886196, 0.10519094556961632, -0.03220296547607921, -0.011536867993196542, 0.012461448265557092, 0.07566088011530651, -0.0639180424279237, -0.26641483637715946, 0.3390158852932721, -0.08644410407445817, 0.16910875133527786, 0.006836783558934589, 0.06418841712795918, -0.015489839617988433, -0.0013284163856455548, -0.012990830747195436, -0.13083560931202307, 0.01549510151314528, 0.3073379937347702, 0.13156097061371178, 0.23902707108275287, -0.36419914015410043, -0.12835810900750486, 0.24333348988015627, 0.19978016297682188, -0.008616188530471514, 0.0310520565809301, -0.17199190572930753, 0.15611256818308242, -0.15832022596309384, -0.17809200080757198, 0.019942851512248373, 0.10679977734848349, 0.08228477150392295, -0.36904737117848446, 0.01233413569289868, 0.09842856014306149, 0.06967362710698084, -0.007755895423046736, -0.24115308046880687, -0.06934544262714387, 0.038427190212215384, -0.0078262657916639, 0.009271003456722776, 0.015370326270137659, -0.05945392411905976, -0.05960791897483763, 0.36284763867099007, -0.06382966346890581, -0.2606474040711129, 0.14223663076832468, -0.1988000429125598, -0.15702029997059566, 0.10493380903657949, 0.06211780554556092, 0.16653447118005715, -0.03428619888357141, 0.22037624239072268, -0.12766879691678862, 0.10392483182262037, 0.13026189536586488, 0.04205615856434716, 0.10466701081763445, -0.022192759193289516, 0.09273180375384982, 0.06294050853863485, -0.01835618106931427, -0.0734551575997929, -0.3636278831823306, -0.13633469678593843, -0.22448309527416396, 0.11129002889488633, -0.15192213611639585, -0.15337214503035118, 0.3054958640767092, 0.08502826192952026, 0.20059148469855162, 0.07274114173858172, 0.2205349835143848, 0.1935649629794253, -0.012947078497911041, 0.09295948165923949, 0.0973299873036343, 0.13521893541540272, 0.04137931844293648, -0.17008334805326408, 0.016989957563716664, 0.15500427261841568] |
712.007 | Isospin Effects on Meson Production in Relativistic Heavy Ion Collisions | We show that the phenomenology of isospin effects on heavy ion reactions at
intermediate energies (few AGeV range) is extremely rich and can allow a
``direct'' study of the covariant structure of the isovector interaction in a
high density hadron medium. We work within a relativistic transport frame,
beyond a cascade picture, consistently derived from effective Lagrangians,
where isospin effects are accounted for in the mean field and collision terms.
We show that rather sensitive observables are provided by the pion/kaon
production (\pi^-/\pi^+, K^0/K^+ yields). Relevant non-equilibrium effects are
stressed. The possibility of the transition to a mixed hadron-quark phase, at
high baryon and isospin density, is finally suggested. Some signatures could
come from an expected ``neutron trapping'' effect.
| nucl-th | we show that the phenomenology of isospin effects on heavy ion reactions at intermediate energies few agev range is extremely rich and can allow a direct study of the covariant structure of the isovector interaction in a high density hadron medium we work within a relativistic transport frame beyond a cascade picture consistently derived from effective lagrangians where isospin effects are accounted for in the mean field and collision terms we show that rather sensitive observables are provided by the pionkaon production pipi k0k yields relevant nonequilibrium effects are stressed the possibility of the transition to a mixed hadronquark phase at high baryon and isospin density is finally suggested some signatures could come from an expected neutron trapping effect | [['we', 'show', 'that', 'the', 'phenomenology', 'of', 'isospin', 'effects', 'on', 'heavy', 'ion', 'reactions', 'at', 'intermediate', 'energies', 'few', 'agev', 'range', 'is', 'extremely', 'rich', 'and', 'can', 'allow', 'a', 'direct', 'study', 'of', 'the', 'covariant', 'structure', 'of', 'the', 'isovector', 'interaction', 'in', 'a', 'high', 'density', 'hadron', 'medium', 'we', 'work', 'within', 'a', 'relativistic', 'transport', 'frame', 'beyond', 'a', 'cascade', 'picture', 'consistently', 'derived', 'from', 'effective', 'lagrangians', 'where', 'isospin', 'effects', 'are', 'accounted', 'for', 'in', 'the', 'mean', 'field', 'and', 'collision', 'terms', 'we', 'show', 'that', 'rather', 'sensitive', 'observables', 'are', 'provided', 'by', 'the', 'pionkaon', 'production', 'pipi', 'k0k', 'yields', 'relevant', 'nonequilibrium', 'effects', 'are', 'stressed', 'the', 'possibility', 'of', 'the', 'transition', 'to', 'a', 'mixed', 'hadronquark', 'phase', 'at', 'high', 'baryon', 'and', 'isospin', 'density', 'is', 'finally', 'suggested', 'some', 'signatures', 'could', 'come', 'from', 'an', 'expected', 'neutron', 'trapping', 'effect']] | [-0.11074834506168273, 0.2656459189031103, -0.1338600014828482, 0.1487457763595397, -0.03227540951989153, -0.0888244763384534, 0.037585278196229026, 0.3348260027426882, -0.21019589343742162, -0.27194952245551246, -0.0304041945144628, -0.30493926861863424, -0.04738358260296723, 0.12050108835414178, 0.08349995089679205, 0.023844555560342904, 0.05648788780917046, 0.0409879580339683, -0.09398261229938068, -0.12043978360250686, 0.3298462163030851, 0.08608568037132255, 0.22595559300056525, 0.16990055211334482, 0.052652872605797124, -0.009564778340996062, -0.005718186217411069, 0.03445711411426172, -0.12789196870937852, 0.03659999441402424, 0.26066561721846415, 0.021217286590674594, 0.1684252164510525, -0.423212890928032, -0.23071977186228046, 0.09006277727894485, 0.15225479330577957, 0.19832148745718622, -0.09345642972381457, -0.27682454750223573, 0.052279600294447746, -0.23464729500731, -0.14186170384162614, -0.11932894751867827, 0.011170957449279694, 0.007020829141750431, -0.3174176066551365, 0.11923530627851092, -0.038796550363396146, 0.0523501283532212, -0.056856877103980095, -0.19351027644740246, -0.045706792384339105, 0.014918066271651192, 0.046819475596328465, 0.02113603082477671, 0.20183983923350812, -0.15136833148499748, -0.05473623994518729, 0.4288339954840035, -0.061954060652070216, -0.1296310245270739, 0.17360359346767998, -0.1952578572501593, -0.14867250889269715, 0.16544795128665551, 0.189299028460719, 0.10892104838012147, -0.1706695989788776, 0.06410454980639678, 0.011721468188197297, 0.1346596657244272, 0.03552363309500536, 0.09791720239249911, 0.23631001191855477, 0.18417785950631155, -0.019825831032162455, 0.07327440259951272, -0.10787523288021506, -0.1083639322138321, -0.38014460338999617, -0.06469649942826573, -0.11060407725524768, 0.046553930092579486, -0.0638680276131999, -0.0634468485202108, 0.34150313272947025, 0.11980479877802129, 0.211591724110689, -0.01758330878058151, 0.2688482938952619, 0.10852487625538551, 0.04364636568171598, 0.0534652002946231, 0.29721462112746766, 0.18526952067512859, 0.11696725100290593, -0.27917708942134467, 0.06031854924190195, 0.023796363432398614] |
712.0071 | Continuum Coupling Effects in Spectra of Mirror Nuclei and Binding
Systematics | Continuum-coupling correction to binding energies in neutron rich oxygen and
fluorine isotopes and to excitation energies of 2+ states in 36Ca and 36S
mirror nuclei are studied using the real-energy continuum shell model.
| nucl-th | continuumcoupling correction to binding energies in neutron rich oxygen and fluorine isotopes and to excitation energies of 2 states in 36ca and 36s mirror nuclei are studied using the realenergy continuum shell model | [['continuumcoupling', 'correction', 'to', 'binding', 'energies', 'in', 'neutron', 'rich', 'oxygen', 'and', 'fluorine', 'isotopes', 'and', 'to', 'excitation', 'energies', 'of', '2', 'states', 'in', '36ca', 'and', '36s', 'mirror', 'nuclei', 'are', 'studied', 'using', 'the', 'realenergy', 'continuum', 'shell', 'model']] | [0.04808151553715429, 0.193238056595287, -0.006603990170744157, 0.19497472888249304, 0.11541280721224123, -0.1532982501892313, 0.11579069529750174, 0.46730701817620185, -0.16704220580117357, -0.3388279925190633, -0.11082097903765258, -0.3683601830515169, 0.07884271421484769, 0.07026210318379585, 0.07648307828593158, -0.015483637400452168, 0.03829431282206168, -0.02148023809516622, -0.08815189727371739, -0.10120847776547194, 0.3038780124737851, 0.15531977658881055, 0.20587515812968055, 0.1322259536133178, -0.019940829820810788, -0.030457715323615457, 0.1268526364358202, -0.07069520901648267, -0.12736305151314986, 0.11842548065150398, 0.2964757902232269, -0.01947646290664711, 0.06870106379351308, -0.4731439473407884, -0.18992085841995093, 0.03452993695053362, 0.1583350357118874, 0.23984081526437112, -0.09561134152294647, -0.27618629599530853, -0.007751714678541306, -0.22062599490727147, -0.21334603050303075, -0.08890315875290863, 0.06814793034666969, 0.09747723790426407, -0.21367894251260064, 0.06274388196517623, -0.0279311548454702, 0.0616013198610275, -0.1943288101033578, -0.2521747773393027, -0.14293698389684, 0.02200825055760722, 0.0767890935305566, 0.0036836338319605395, 0.21400909840820298, -0.08447810091198452, -0.018562764455113682, 0.3910566266145437, 5.545572287613346e-05, -0.029453623018437815, 0.16830855421721935, -0.17716929869305703, -0.1696814336370857, 0.28324666402993665, 0.11840698573618166, 0.14616407850576985, -0.1503335864493443, 0.058503223066743944, 0.07708605456977122, 0.23555093739301927, 0.11749978623382988, 0.050207139503571294, 0.14119062722930986, 0.19428663196102267, -0.08174463346480362, 0.03992791263566863, -0.19455088278458965, -0.08244868301816526, -0.21820984671132698, -0.08495174868092421, -0.09386990513772733, 0.019331084113688238, 0.035642596428759485, -0.1019652443196279, 0.32880720520211804, -0.05226285184823697, 0.14447278568461056, -0.08530093924773316, 0.20611741177497372, 0.031501298529967185, 0.058199269982475425, 0.0412004905182027, 0.3274999999651505, 0.2535026668901405, 0.0008577423342954248, -0.306767902667484, -0.030233089346438646, 0.05384372967866159] |
712.0072 | Coupling times with ambiguities for particle systems and applications to
context-dependent DNA substitution models | We define a notion of coupling time with ambiguities for interacting particle
systems, and show how this can be used to prove ergodicity and to bound the
convergence time to equilibrium and the decay of correlations at equilibrium. A
motivation is to provide simple conditions which ensure that perturbed particle
systems share some properties of the underlying unperturbed system. We apply
these results to context-dependent substitution models recently introduced by
molecular biologists as descriptions of DNA evolution processes. These models
take into account the influence of the neighboring bases on the substitution
probabilities at a site of the DNA sequence, as opposed to most usual
substitution models which assume that sites evolve independently of each other.
| math.PR q-bio.QM | we define a notion of coupling time with ambiguities for interacting particle systems and show how this can be used to prove ergodicity and to bound the convergence time to equilibrium and the decay of correlations at equilibrium a motivation is to provide simple conditions which ensure that perturbed particle systems share some properties of the underlying unperturbed system we apply these results to contextdependent substitution models recently introduced by molecular biologists as descriptions of dna evolution processes these models take into account the influence of the neighboring bases on the substitution probabilities at a site of the dna sequence as opposed to most usual substitution models which assume that sites evolve independently of each other | [['we', 'define', 'a', 'notion', 'of', 'coupling', 'time', 'with', 'ambiguities', 'for', 'interacting', 'particle', 'systems', 'and', 'show', 'how', 'this', 'can', 'be', 'used', 'to', 'prove', 'ergodicity', 'and', 'to', 'bound', 'the', 'convergence', 'time', 'to', 'equilibrium', 'and', 'the', 'decay', 'of', 'correlations', 'at', 'equilibrium', 'a', 'motivation', 'is', 'to', 'provide', 'simple', 'conditions', 'which', 'ensure', 'that', 'perturbed', 'particle', 'systems', 'share', 'some', 'properties', 'of', 'the', 'underlying', 'unperturbed', 'system', 'we', 'apply', 'these', 'results', 'to', 'contextdependent', 'substitution', 'models', 'recently', 'introduced', 'by', 'molecular', 'biologists', 'as', 'descriptions', 'of', 'dna', 'evolution', 'processes', 'these', 'models', 'take', 'into', 'account', 'the', 'influence', 'of', 'the', 'neighboring', 'bases', 'on', 'the', 'substitution', 'probabilities', 'at', 'a', 'site', 'of', 'the', 'dna', 'sequence', 'as', 'opposed', 'to', 'most', 'usual', 'substitution', 'models', 'which', 'assume', 'that', 'sites', 'evolve', 'independently', 'of', 'each', 'other']] | [-0.07673751335623193, 0.13743006459292795, -0.09992557682964051, 0.09518480040775291, -0.02708816691301763, -0.15860425763169367, 0.06551176796221689, 0.3542890917381336, -0.3299154431031262, -0.2764567428886698, 0.0653807688123097, -0.2648984653662473, -0.12401786592291218, 0.11902394848434127, -0.0033578966214353667, 0.0115122311720464, 0.07147906728666918, 0.047540994132477546, -0.04317288002770009, -0.24707624340301443, 0.3190241094662583, 0.07355066527138818, 0.238810733747508, 0.014278518606041526, 0.08912564362078135, -0.020965775994760596, 0.019966216197895723, 0.009078070127951175, -0.15520790131255313, 0.10143868821552164, 0.208245999404802, 0.12928740742038294, 0.2736686693247536, -0.45783796972306123, -0.2202652539387506, 0.1175560672538644, 0.14830580503069635, 0.14072717753528008, -0.0335534703426047, -0.26903226525233737, 0.06982432899932409, -0.14233915251980792, -0.12078800119443572, -0.09071132224976439, 0.00296472089268781, 0.09463582875080113, -0.2752464774128949, 0.036207311794739856, 0.1070367887471642, 0.0442050456808045, -0.07538631119251508, -0.09476421532072608, -0.04815665202351801, 0.18579983942066158, 0.06256522050986452, -0.014710469420292768, 0.1596021252897054, -0.06132793162170605, -0.13636806958499526, 0.396874368447682, -0.04498914136262289, -0.2308662646321644, 0.24635331514130893, -0.13181351898800067, -0.17696291707648798, 0.10154532323639583, 0.15924823942497887, 0.09262228416728563, -0.173526151174005, 0.054334746005820465, 0.004814251149394389, 0.16545640221989616, 0.05575675586567678, 0.07709984491771922, 0.21212673601935264, 0.12695325897195667, 0.05183985335792511, 0.12567475950495935, -0.02067070032654587, -0.14727287997636174, -0.25699785698590605, -0.16597350887956241, -0.1478113131196206, 0.05875090858899057, -0.05137859460554519, -0.17445473658755936, 0.3669679278210769, 0.1957533489631746, 0.2226788308391155, 0.061025009550764384, 0.2279850882237199, 0.11347025479310481, 0.06476222040083517, 0.016335729011816198, 0.17134251660022057, 0.12080674682912448, 0.07051677951902344, -0.2164566679255523, 0.11836583611499198, 0.09195541068590407] |
712.0073 | Solitons in isotropic antiferromagnets: beyond a sigma model | Isotropic antiferromagnets shows a reach variety of magnetic solitons with
non-trivial static and dynamic properties. One-dimensional soliton elementary
excitations have a periodic dispersion law. For two-dimensional case, planar
antiferromagnetic vortices having non-singular macroscopic core with the
saturated magnetic moment are present. The dynamic properties of these planar
antiferromagnetic vortex are characterized by presence of a gyroforce
| cond-mat.other cond-mat.str-el | isotropic antiferromagnets shows a reach variety of magnetic solitons with nontrivial static and dynamic properties onedimensional soliton elementary excitations have a periodic dispersion law for twodimensional case planar antiferromagnetic vortices having nonsingular macroscopic core with the saturated magnetic moment are present the dynamic properties of these planar antiferromagnetic vortex are characterized by presence of a gyroforce | [['isotropic', 'antiferromagnets', 'shows', 'a', 'reach', 'variety', 'of', 'magnetic', 'solitons', 'with', 'nontrivial', 'static', 'and', 'dynamic', 'properties', 'onedimensional', 'soliton', 'elementary', 'excitations', 'have', 'a', 'periodic', 'dispersion', 'law', 'for', 'twodimensional', 'case', 'planar', 'antiferromagnetic', 'vortices', 'having', 'nonsingular', 'macroscopic', 'core', 'with', 'the', 'saturated', 'magnetic', 'moment', 'are', 'present', 'the', 'dynamic', 'properties', 'of', 'these', 'planar', 'antiferromagnetic', 'vortex', 'are', 'characterized', 'by', 'presence', 'of', 'a', 'gyroforce']] | [-0.25817690417170525, 0.246970187229189, -0.0034860694950277155, 0.022240177474238655, -0.10600889335725118, -0.14570556390522557, -0.04740637036103924, 0.40730415047569707, -0.22310300198468294, -0.2465489752082662, 0.060121363333680414, -0.2775336732918566, -0.10016420255944303, 0.16094456476328725, 0.117119644633071, 0.057111961403014985, -0.04075910170901228, 0.025593063988807528, -0.06828408561308276, -0.18385747362944213, 0.3026551934128458, -0.10959949390116062, 0.30310811564664947, 0.023498006283559584, 0.04542530238289725, 0.002243796346539801, 0.13263413348150524, 0.12449427323246544, -0.18785157808187333, 0.05320723493668166, 0.21448921017687428, -0.13744366670196706, 0.12635658675466072, -0.4656942340460691, -0.24503612494604154, 0.06058960845693946, 0.1403790753250095, 0.1520122520964254, -0.08558554258197545, -0.30662126625380054, 0.08960696731440046, -0.13573562143878504, -0.2624888954959302, -0.14502610261975366, 0.021838523701510647, 0.12930723118853082, -0.20920595014044507, 0.15090884224257686, 0.1681359659203074, 0.1378450580957261, -0.08421916750005701, -0.03860705676911907, -0.08639723300425843, 0.0320565806786445, 0.00874003940685229, -0.017581850273365323, 0.11915426694534041, -0.13024709488857877, -0.15903831399469212, 0.3751518193971027, -0.03166396008296447, -0.1424022350968285, 0.15946351941251619, -0.15090190938419917, -0.06680901775305921, 0.2311953462279317, 0.12354955629720776, 0.08449423377341274, -0.07937976274300705, 0.10352439171613448, -0.09656633827835322, 0.13319178179107521, 0.07096730423244563, 0.08040058379146185, 0.3572578486224467, 0.2049059869382869, 0.04768974767913195, 0.22052995175313714, -0.08264966974542899, -0.1439471941017969, -0.23049838691949845, -0.09757263879715042, -0.2024345071351325, 0.09253872917457061, -0.11640025991920001, -0.29395293938842687, 0.3621785046024756, 0.03153770057992502, 0.11252726112354801, -0.03209551542320035, 0.21699154717128047, 0.10327603965997696, 0.003658298318358985, 0.09420272983102636, 0.2665934001815251, 0.2138593084432862, 0.14647940397685902, -0.25044418702071364, -0.029878714881752703, 0.07165665265850045] |
712.0074 | A note on the phases of natural evolution | The natural evolution of life seems to proceed through steps characterized by
phases of relatively rapid changes, followed by longer, more stable periods. In
the light of the string-theory derived physical scenario proposed in [1], we
discuss how this behaviour can be related to a sequence of resonances of the
energy of natural sources of radiation and absorption energies of the DNA,
responsible for mutagenesis. In a scenario in which these energy scales run
independently as functions of the age of the Universe, the conditions for
evolutionary mutagenesis are satisfied only at discrete points of the time
axis, and for a short period, corresponding to the width of the resonance. We
consider in particular the evolution of the primates through subsequent steps
of increasing cranio-facial contraction, and the great Eras of life (Paleozoic,
Mesozoic, Cenozoic), showing that the transitions occur at the predicted times
of resonance.
| physics.gen-ph q-bio.PE | the natural evolution of life seems to proceed through steps characterized by phases of relatively rapid changes followed by longer more stable periods in the light of the stringtheory derived physical scenario proposed in 1 we discuss how this behaviour can be related to a sequence of resonances of the energy of natural sources of radiation and absorption energies of the dna responsible for mutagenesis in a scenario in which these energy scales run independently as functions of the age of the universe the conditions for evolutionary mutagenesis are satisfied only at discrete points of the time axis and for a short period corresponding to the width of the resonance we consider in particular the evolution of the primates through subsequent steps of increasing craniofacial contraction and the great eras of life paleozoic mesozoic cenozoic showing that the transitions occur at the predicted times of resonance | [['the', 'natural', 'evolution', 'of', 'life', 'seems', 'to', 'proceed', 'through', 'steps', 'characterized', 'by', 'phases', 'of', 'relatively', 'rapid', 'changes', 'followed', 'by', 'longer', 'more', 'stable', 'periods', 'in', 'the', 'light', 'of', 'the', 'stringtheory', 'derived', 'physical', 'scenario', 'proposed', 'in', '1', 'we', 'discuss', 'how', 'this', 'behaviour', 'can', 'be', 'related', 'to', 'a', 'sequence', 'of', 'resonances', 'of', 'the', 'energy', 'of', 'natural', 'sources', 'of', 'radiation', 'and', 'absorption', 'energies', 'of', 'the', 'dna', 'responsible', 'for', 'mutagenesis', 'in', 'a', 'scenario', 'in', 'which', 'these', 'energy', 'scales', 'run', 'independently', 'as', 'functions', 'of', 'the', 'age', 'of', 'the', 'universe', 'the', 'conditions', 'for', 'evolutionary', 'mutagenesis', 'are', 'satisfied', 'only', 'at', 'discrete', 'points', 'of', 'the', 'time', 'axis', 'and', 'for', 'a', 'short', 'period', 'corresponding', 'to', 'the', 'width', 'of', 'the', 'resonance', 'we', 'consider', 'in', 'particular', 'the', 'evolution', 'of', 'the', 'primates', 'through', 'subsequent', 'steps', 'of', 'increasing', 'craniofacial', 'contraction', 'and', 'the', 'great', 'eras', 'of', 'life', 'paleozoic', 'mesozoic', 'cenozoic', 'showing', 'that', 'the', 'transitions', 'occur', 'at', 'the', 'predicted', 'times', 'of', 'resonance']] | [-0.12607465891489658, 0.1853379324478837, -0.09097805051834718, 0.08182762576863552, 0.005785356070814425, -0.07225014374763641, 0.06652637446149291, 0.3556462209544157, -0.26296326987308205, -0.3022813476009728, 0.1075921369196643, -0.20120400304635763, -0.11126292593400823, 0.19079579627268936, -0.02012522239875916, -0.0020254661404042924, 0.06266440093925554, 0.02719660061858084, -0.025913588541610907, -0.22855718245838247, 0.30726561410837383, 0.0675865630204598, 0.20180248013021398, 0.04014790234911855, 0.07257744006510122, -0.030420077607443887, -0.01685486835597421, -0.03751904924068447, -0.13454149904596494, 0.07892128401751868, 0.23519318613976445, 0.13544147314937555, 0.24234996726800215, -0.4507901084749666, -0.20899200462516915, 0.11447061935745895, 0.15674454252529021, 0.08776995629528282, -0.040006985028823744, -0.251152678313091, 0.07981808250291554, -0.10177532405104514, -0.14995784801431, 0.008214566738612643, 0.08130507618954329, 0.027929671937982514, -0.24254031859223463, 0.112303288096932, 0.044221666354481895, 0.06128308743602048, -0.08136742057801824, -0.0814784131816601, -0.05505184165189323, 0.12592745738180533, 0.10424632384770308, -0.011030358474060562, 0.13942416804230273, -0.1216762250158553, -0.11406627974125289, 0.388595303947948, -0.07148564855682932, -0.0764373089214755, 0.1964428966820291, -0.1519699279420845, -0.13635474430677824, 0.16351904399048742, 0.14148272731507275, 0.12965983414882157, -0.12032729933637973, 0.02521126850528885, 0.06406271753016196, 0.14101298208578095, 0.10081697190945892, 0.02567152722821609, 0.2366099154252929, 0.1706321572052468, -0.0038152837325270248, 0.1042216824541468, -0.07547341779190155, -0.11719542063058239, -0.287661503076279, -0.1532500207660184, -0.15096316745581284, 0.038264021298956535, -0.07540819214065703, -0.12729856346642968, 0.4386147629303781, 0.11452735065441094, 0.23487890415748403, 0.04096710306276529, 0.2284418237268006, 0.1054359761071519, 0.07488549694274185, 0.015533756633761199, 0.23670984562869146, 0.08812213562467225, 0.12764416838205125, -0.24752697271728658, 0.08392317636474354, -0.006617913389425367] |
712.0075 | The non-perturbative equation of state for gluon matter | In order to derive equation of state for the pure SU(3) Yang-Mills fields
from first principles, it is proposed to generalize the effective potential
approach for composite operators to non-zero temperatures. It is essentially
non-perturbative by construction, since it assumes the summation of an infinite
number of the corresponding contributions. There is no dependence on the
coupling constant, only a dependence on the mass gap, which is responsible for
the large-scale structure of the QCD ground state. The equation of state
generalizes the Bag constant at non-zero temperatures, while its nontrivial
Yang-Mills part has been approximated by the generalization of the free gluon
propagator to non-zero temperatures, as a first necessary step. Even in this
case we were able to show explicitly that the pressure may almost continuously
change its regime at $T^* = 266.5 MeV$.All the other thermodynamical quantities
such as energy density, entropy, etc. are to be understood to have drastic
changes in their regimes in the close vicinity of $T^*$. All this is in
qualitative and quantitative agreement with thermal lattice QCD results for the
pure Yang-Mills fields. We have firmly established the behavior of all the
thermodynamical quantities in the region of low temperatures, where thermal
lattice QCD calculations suffer from big uncertainties.
| hep-ph | in order to derive equation of state for the pure su3 yangmills fields from first principles it is proposed to generalize the effective potential approach for composite operators to nonzero temperatures it is essentially nonperturbative by construction since it assumes the summation of an infinite number of the corresponding contributions there is no dependence on the coupling constant only a dependence on the mass gap which is responsible for the largescale structure of the qcd ground state the equation of state generalizes the bag constant at nonzero temperatures while its nontrivial yangmills part has been approximated by the generalization of the free gluon propagator to nonzero temperatures as a first necessary step even in this case we were able to show explicitly that the pressure may almost continuously change its regime at t 2665 mevall the other thermodynamical quantities such as energy density entropy etc are to be understood to have drastic changes in their regimes in the close vicinity of t all this is in qualitative and quantitative agreement with thermal lattice qcd results for the pure yangmills fields we have firmly established the behavior of all the thermodynamical quantities in the region of low temperatures where thermal lattice qcd calculations suffer from big uncertainties | [['in', 'order', 'to', 'derive', 'equation', 'of', 'state', 'for', 'the', 'pure', 'su3', 'yangmills', 'fields', 'from', 'first', 'principles', 'it', 'is', 'proposed', 'to', 'generalize', 'the', 'effective', 'potential', 'approach', 'for', 'composite', 'operators', 'to', 'nonzero', 'temperatures', 'it', 'is', 'essentially', 'nonperturbative', 'by', 'construction', 'since', 'it', 'assumes', 'the', 'summation', 'of', 'an', 'infinite', 'number', 'of', 'the', 'corresponding', 'contributions', 'there', 'is', 'no', 'dependence', 'on', 'the', 'coupling', 'constant', 'only', 'a', 'dependence', 'on', 'the', 'mass', 'gap', 'which', 'is', 'responsible', 'for', 'the', 'largescale', 'structure', 'of', 'the', 'qcd', 'ground', 'state', 'the', 'equation', 'of', 'state', 'generalizes', 'the', 'bag', 'constant', 'at', 'nonzero', 'temperatures', 'while', 'its', 'nontrivial', 'yangmills', 'part', 'has', 'been', 'approximated', 'by', 'the', 'generalization', 'of', 'the', 'free', 'gluon', 'propagator', 'to', 'nonzero', 'temperatures', 'as', 'a', 'first', 'necessary', 'step', 'even', 'in', 'this', 'case', 'we', 'were', 'able', 'to', 'show', 'explicitly', 'that', 'the', 'pressure', 'may', 'almost', 'continuously', 'change', 'its', 'regime', 'at', 't', '2665', 'mevall', 'the', 'other', 'thermodynamical', 'quantities', 'such', 'as', 'energy', 'density', 'entropy', 'etc', 'are', 'to', 'be', 'understood', 'to', 'have', 'drastic', 'changes', 'in', 'their', 'regimes', 'in', 'the', 'close', 'vicinity', 'of', 't', 'all', 'this', 'is', 'in', 'qualitative', 'and', 'quantitative', 'agreement', 'with', 'thermal', 'lattice', 'qcd', 'results', 'for', 'the', 'pure', 'yangmills', 'fields', 'we', 'have', 'firmly', 'established', 'the', 'behavior', 'of', 'all', 'the', 'thermodynamical', 'quantities', 'in', 'the', 'region', 'of', 'low', 'temperatures', 'where', 'thermal', 'lattice', 'qcd', 'calculations', 'suffer', 'from', 'big', 'uncertainties']] | [-0.09825413269558694, 0.19341905281329586, -0.10141215884331159, 0.05758949257376626, -0.03608468621969223, -0.07986459785209196, 0.049311585492658905, 0.34655750088121107, -0.2342065548035884, -0.2773000673186488, 0.08644929443622326, -0.29210387861850196, -0.08330966932131205, 0.1450510217351044, 0.006580792868186198, 0.05419428018205685, 0.0051031413584629575, 0.09067300387385596, -0.09236306948132994, -0.23020643609257915, 0.3319851638499375, 0.036447736531178034, 0.2674387964124723, 0.12461984218552527, 0.08913209248879334, -0.036814042678239144, 0.03014285704930222, 0.027724430292117887, -0.13499945653960954, 0.015610290488275051, 0.2527622452505478, 0.014687344398940119, 0.20663810160647078, 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712.0076 | Fusion of conformal interfaces | We study the fusion of conformal interfaces in the c=1 conformal field
theory. We uncover an elegant structure reminiscent of that of black holes in
supersymmetric theories. The role of the BPS black holes is played by
topological interfaces, which (a) minimize the entropy function, (b) fix
through an attractor mechanism one or both of the bulk radii, and (c) are
(marginally) stable under splitting. One significant difference is that the
conserved charges are logarithms of natural numbers, rather than vectors in a
charge lattice, as for BPS states. Besides potential applications to
condensed-matter physics and number theory, these results point to the
existence of large solution-generating algebras in string theory.
| hep-th cond-mat.stat-mech | we study the fusion of conformal interfaces in the c1 conformal field theory we uncover an elegant structure reminiscent of that of black holes in supersymmetric theories the role of the bps black holes is played by topological interfaces which a minimize the entropy function b fix through an attractor mechanism one or both of the bulk radii and c are marginally stable under splitting one significant difference is that the conserved charges are logarithms of natural numbers rather than vectors in a charge lattice as for bps states besides potential applications to condensedmatter physics and number theory these results point to the existence of large solutiongenerating algebras in string theory | [['we', 'study', 'the', 'fusion', 'of', 'conformal', 'interfaces', 'in', 'the', 'c1', 'conformal', 'field', 'theory', 'we', 'uncover', 'an', 'elegant', 'structure', 'reminiscent', 'of', 'that', 'of', 'black', 'holes', 'in', 'supersymmetric', 'theories', 'the', 'role', 'of', 'the', 'bps', 'black', 'holes', 'is', 'played', 'by', 'topological', 'interfaces', 'which', 'a', 'minimize', 'the', 'entropy', 'function', 'b', 'fix', 'through', 'an', 'attractor', 'mechanism', 'one', 'or', 'both', 'of', 'the', 'bulk', 'radii', 'and', 'c', 'are', 'marginally', 'stable', 'under', 'splitting', 'one', 'significant', 'difference', 'is', 'that', 'the', 'conserved', 'charges', 'are', 'logarithms', 'of', 'natural', 'numbers', 'rather', 'than', 'vectors', 'in', 'a', 'charge', 'lattice', 'as', 'for', 'bps', 'states', 'besides', 'potential', 'applications', 'to', 'condensedmatter', 'physics', 'and', 'number', 'theory', 'these', 'results', 'point', 'to', 'the', 'existence', 'of', 'large', 'solutiongenerating', 'algebras', 'in', 'string', 'theory']] | [-0.1723847641978782, 0.16953032242521215, -0.07453552374263873, 0.1302420935920767, -0.03701522960621226, -0.13649084507582104, 0.008578205650026264, 0.2903246956432725, -0.22922660257700864, -0.2661175141111016, 0.061402130643375685, -0.3094304809346795, -0.14795285812788853, 0.15320971701084427, -0.04024898695449034, 0.03866137419030204, -0.02612358620725908, 0.043477629114210874, -0.08443718894829487, -0.21184455269322572, 0.3578246001952311, 0.02848350595020026, 0.26013672890494, 0.05761040621468596, 0.041544940989665886, -0.005116179979800641, 0.03874046806883705, 0.04305978781996748, -0.12533930289364517, 0.13895984614521753, 0.24381957797916723, 0.05895956788581234, 0.2040869890951325, -0.44307608657667563, -0.21421390937154625, 0.07942856872361992, 0.1331402155746882, 0.1368131877567099, -0.11182495445717831, -0.21163484014503592, 0.12539732132761464, -0.16043162103721384, -0.16210455631602322, -0.09170980576157302, 0.07100286416243762, -0.056762273631033464, -0.2195589790222453, 0.09014600319242491, 0.05828233197465673, 0.045380585101173, -0.08253251925647796, -0.07965230912196676, -0.1010980821751595, 0.10811362899462315, 0.1066304164008355, 0.04922367528768944, 0.15986143923490434, -0.19468961923743958, -0.1810199706982989, 0.3435934795746328, -0.028256021220439433, -0.211775203109593, 0.17595358418619578, -0.16416799455780434, -0.15382596012204885, 0.11247679073078272, 0.118192926149916, 0.17957500107418578, -0.10861034251734833, 0.15938418764549703, -0.04343552673487244, 0.13701907728157878, 0.09321633962545174, 0.08888842752790665, 0.3246228951994363, 0.09146354559741847, 0.06016463075600866, 0.13598094662223514, -0.019621917552121722, -0.16555164895347646, -0.3710139009195405, -0.17589328245066846, -0.1486977661817192, 0.07531015763713701, -0.12160435671312944, -0.20859141719133198, 0.3723979227681149, 0.11005224401067297, 0.2020376566545786, -0.003070728894247598, 0.17665441730197337, 0.09128330073944452, 0.09817644469030956, 0.059062019233835174, 0.24251183713282887, 0.17554773178438213, 0.07529967946319228, -0.2243336221236769, -0.08196390365451775, 0.16699623266184652] |
712.0077 | D-brane width | Loop quantum gravity predicts that there are non-zero minimal area, and
non-zero minimal volume in (3+1) dimensions. Given this, one can easily guess
that one will have a non-zero minimal 9-volume in (9+1) dimensions. Therefore,
in this paper, we argue that not only D9-brane but also Dp-brane for p less
than 9 has a 9-volume. This idea is new, as the present view states that such a
Dp-brane has p-volume but no 9 volume. To demonstrate this, first, we equate
D8-brane action with D9-brane action and show that 9th direction which is
perpendicular to D8-brane has non-zero width. We repeat this step for different
ps; we equate Dp-brane action with Dp-1 brane action. By this iteration and
induction we conclude that Dp-brane has non-zero widths for each of (9-p)
directions perpendicular to the Dp-brane, and therefore, non-zero volume. When
antisymmetric tensor and field strength are zero, this width is calculated to
be 2 pi sqrt(alpha') for all (9-p) directions. For non-vanishing antisymmetric
tensor and field strength, the width receives small corrections. In this paper,
we only calculate up to the first order correction.
| physics.gen-ph | loop quantum gravity predicts that there are nonzero minimal area and nonzero minimal volume in 31 dimensions given this one can easily guess that one will have a nonzero minimal 9volume in 91 dimensions therefore in this paper we argue that not only d9brane but also dpbrane for p less than 9 has a 9volume this idea is new as the present view states that such a dpbrane has pvolume but no 9 volume to demonstrate this first we equate d8brane action with d9brane action and show that 9th direction which is perpendicular to d8brane has nonzero width we repeat this step for different ps we equate dpbrane action with dp1 brane action by this iteration and induction we conclude that dpbrane has nonzero widths for each of 9p directions perpendicular to the dpbrane and therefore nonzero volume when antisymmetric tensor and field strength are zero this width is calculated to be 2 pi sqrtalpha for all 9p directions for nonvanishing antisymmetric tensor and field strength the width receives small corrections in this paper we only calculate up to the first order correction | [['loop', 'quantum', 'gravity', 'predicts', 'that', 'there', 'are', 'nonzero', 'minimal', 'area', 'and', 'nonzero', 'minimal', 'volume', 'in', '31', 'dimensions', 'given', 'this', 'one', 'can', 'easily', 'guess', 'that', 'one', 'will', 'have', 'a', 'nonzero', 'minimal', '9volume', 'in', '91', 'dimensions', 'therefore', 'in', 'this', 'paper', 'we', 'argue', 'that', 'not', 'only', 'd9brane', 'but', 'also', 'dpbrane', 'for', 'p', 'less', 'than', '9', 'has', 'a', '9volume', 'this', 'idea', 'is', 'new', 'as', 'the', 'present', 'view', 'states', 'that', 'such', 'a', 'dpbrane', 'has', 'pvolume', 'but', 'no', '9', 'volume', 'to', 'demonstrate', 'this', 'first', 'we', 'equate', 'd8brane', 'action', 'with', 'd9brane', 'action', 'and', 'show', 'that', '9th', 'direction', 'which', 'is', 'perpendicular', 'to', 'd8brane', 'has', 'nonzero', 'width', 'we', 'repeat', 'this', 'step', 'for', 'different', 'ps', 'we', 'equate', 'dpbrane', 'action', 'with', 'dp1', 'brane', 'action', 'by', 'this', 'iteration', 'and', 'induction', 'we', 'conclude', 'that', 'dpbrane', 'has', 'nonzero', 'widths', 'for', 'each', 'of', '9p', 'directions', 'perpendicular', 'to', 'the', 'dpbrane', 'and', 'therefore', 'nonzero', 'volume', 'when', 'antisymmetric', 'tensor', 'and', 'field', 'strength', 'are', 'zero', 'this', 'width', 'is', 'calculated', 'to', 'be', '2', 'pi', 'sqrtalpha', 'for', 'all', '9p', 'directions', 'for', 'nonvanishing', 'antisymmetric', 'tensor', 'and', 'field', 'strength', 'the', 'width', 'receives', 'small', 'corrections', 'in', 'this', 'paper', 'we', 'only', 'calculate', 'up', 'to', 'the', 'first', 'order', 'correction']] | [-0.1678213704868944, 0.2069555924532728, -0.042096237652003765, 0.02685490118068022, -0.08938129344282465, -0.1756101505546313, -0.005573135475990259, 0.36309744520888976, -0.2096084755172746, -0.25050707077607515, 0.0772535331269157, -0.26956194809948403, -0.12011401491731198, 0.12457218150504762, -0.05262559695531511, -0.03248356205359515, 0.02763514299488937, 0.09993528676374505, -0.0638938533814831, -0.26760464364455805, 0.31606019335126295, -0.010943899804907333, 0.23238012524606247, 0.09332322235560342, 0.12637094882989508, -0.028193492897035967, 0.01446187376148171, 0.052038336948802076, -0.1270830127707288, 0.07517671561832281, 0.20908709995241628, 0.0577738130154709, 0.21273276349529624, -0.3694174538056056, -0.18569677117953284, 0.1279131770444413, 0.17530200659530237, 0.15975344349668982, -0.019292836311635458, -0.21748682881912423, 0.17941601500432525, -0.1838647031173524, -0.15196059241942647, -0.07852492870555984, 0.11347274775875525, -0.11679133124287344, -0.24008832835437108, 0.05169811528095225, 0.027042985358922224, 0.04352319988085785, -0.04656868632624133, -0.1237449559279614, -0.013163950758623994, 0.10676868644804927, 0.11312487843161863, 0.11153079125926726, 0.09600173649378121, -0.11019201503238744, -0.1102217488637608, 0.3507828695544352, -0.10825896566489569, -0.24422476222066003, 0.1170059037136121, -0.18973867245949805, -0.13983107090979402, 0.13320006780429847, 0.11196745838080663, 0.10571748831361118, -0.10511390242972993, 0.12578138484580753, -0.028425240851680023, 0.18092393464693385, 0.11408432696221603, 0.0007909058043474538, 0.20965097840461466, 0.046950816974923426, 0.10291072375322174, 0.12414176395363433, -0.08888810683145291, -0.07200212648086664, -0.37362019452783796, -0.17613188210703407, -0.12313157449178914, 0.0955548136767498, -0.07942446518589147, -0.1419373659003112, 0.3680156226994263, 0.149338034972445, 0.19045904155807672, 0.06503917460213415, 0.26754963642193214, 0.13393545663178277, 0.09241933927575398, 0.09266953269123203, 0.25426398027274344, 0.10592069036663614, 0.06598911833457856, -0.20522391724969363, -0.03395022196022587, 0.08072044231877144] |
712.0078 | Birational geometry of Fano double covers | We prove divisorial canonicity of Fano double hypersurfaces of general
position.
| math.AG | we prove divisorial canonicity of fano double hypersurfaces of general position | [['we', 'prove', 'divisorial', 'canonicity', 'of', 'fano', 'double', 'hypersurfaces', 'of', 'general', 'position']] | [-0.2767870060422204, -0.12786642284217206, -0.08713464574380354, 0.18819546428593723, -0.10092904393307188, -0.31494923342357983, 0.021537608043714004, 0.2984919440932572, -0.31983211636543274, -0.07638199796730821, -0.10697991947050799, -0.209231321784583, -0.18931855430657213, 0.1900088206695562, -0.3767715154046362, -0.007070606743747538, 0.0667533010921695, 0.04168516871604053, -0.09173256052996624, -0.38398852944374084, 0.538009340790185, -0.17664806883443485, 0.24686520546674728, 0.2229243510148742, 0.10290892015803944, 0.14273438501087102, 0.08590987138450146, -0.02871719307520173, -0.2572920305485075, 0.18335916914723135, 0.31202396242456004, 0.14076194410551002, 0.13810646059838208, -0.3396648872982372, -0.008401464332233776, 0.24427220606329766, 0.09776394780386578, 0.06896557752043009, 0.055811190363866364, -0.2186460237611424, 0.06315443372692574, -0.004183368249373002, -0.41740626909516076, -0.10728340528228066, -0.04305944117632779, 0.18270418589765375, -0.1802961819551208, 0.05134819786656986, 0.2695460891859098, 0.18398952357132325, 0.0616431940685619, -0.0683573519451205, -0.10284158621322025, -0.08893179410899227, -0.10046103986149485, -0.06118676405061375, 0.1541132231412286, -0.005784050984816117, -0.19488747316327962, 0.29071886431087146, -0.06829599909145724, -0.14339128610762683, -0.11122996834191409, -0.3050319111313332, -0.1702193763445724, 0.15597808530384843, 0.10100712423974817, 0.3268678587946025, 0.06272400509227406, 0.19907831942493265, -0.14684890007430856, 0.01028821337968111, 0.2727410303936763, 0.03639324608957395, 0.07871932661245493, 0.05080636785450307, 0.15574394538998604, 0.1408542970364744, -0.06833159652623264, -0.06434006481008096, -0.4634441611441699, -0.251500990241766, -0.01649353170598095, 0.2838898693973368, -0.23005937395448034, -0.22089423577893863, 0.42301182922991837, -0.13485544818368825, 0.21694623949852856, 0.17602273796431042, 0.24458890442143788, -0.008566117083484476, -0.10480165464634245, 0.017928399484265934, 0.2231794108467346, 0.2536716423082081, -0.05932224914431572, -0.11469283666123044, -0.03876895474439317, 0.22626280869272622] |
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