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708.3249 | On the Khovanov and knot Floer homologies of quasi-alternating links | Quasi-alternating links are a natural generalization of alternating links. In
this paper, we show that quasi-alternating links are "homologically thin" for
both Khovanov homology and knot Floer homology. In particular, their bigraded
homology groups are determined by the signature of the link, together with the
Euler characteristic of the respective homology (i.e. the Jones or the
Alexander polynomial). The proofs use the exact triangles relating the homology
of a link with the homologies of its two resolutions at a crossing.
| math.GT math.SG | quasialternating links are a natural generalization of alternating links in this paper we show that quasialternating links are homologically thin for both khovanov homology and knot floer homology in particular their bigraded homology groups are determined by the signature of the link together with the euler characteristic of the respective homology ie the jones or the alexander polynomial the proofs use the exact triangles relating the homology of a link with the homologies of its two resolutions at a crossing | [['quasialternating', 'links', 'are', 'a', 'natural', 'generalization', 'of', 'alternating', 'links', 'in', 'this', 'paper', 'we', 'show', 'that', 'quasialternating', 'links', 'are', 'homologically', 'thin', 'for', 'both', 'khovanov', 'homology', 'and', 'knot', 'floer', 'homology', 'in', 'particular', 'their', 'bigraded', 'homology', 'groups', 'are', 'determined', 'by', 'the', 'signature', 'of', 'the', 'link', 'together', 'with', 'the', 'euler', 'characteristic', 'of', 'the', 'respective', 'homology', 'ie', 'the', 'jones', 'or', 'the', 'alexander', 'polynomial', 'the', 'proofs', 'use', 'the', 'exact', 'triangles', 'relating', 'the', 'homology', 'of', 'a', 'link', 'with', 'the', 'homologies', 'of', 'its', 'two', 'resolutions', 'at', 'a', 'crossing']] | [-0.32271227407836706, 0.048826860589906575, -0.11567434861208312, 0.114267658481549, -0.09223562843399122, -0.191000717447605, -0.011968104674451752, 0.3578295505139977, -0.37273840147536247, -0.29888899805373514, 0.10263441964343656, -0.22021874726924578, -0.2110858233209001, 0.1390822260727873, -0.15517532634403325, -0.05483221516551566, 0.08613599957898259, 0.08098493785510072, -0.0762038795830449, -0.2719015917275101, 0.39685488782124595, -0.018203651311341672, 0.14622039299283643, 0.11177970462595113, 0.06840988672338426, -0.043018045305507256, -0.10268753587733954, -0.01551249751355499, -0.23207884857301905, 0.1412994229758624, 0.29057352968957273, -0.06349191098124721, 0.06664801961742342, -0.4017294705950917, -0.061595136765390635, 0.17194697194499894, 0.16138283995096572, -0.022793475922662766, 0.041293830689392054, -0.2686790406005457, 0.12440850884886459, -0.21821418763138353, -0.09828716529882513, -0.028454228263581172, -0.019343023560941218, 0.1060903659905307, -0.10143668282908039, -0.03453621204389492, 0.04130612548906356, 0.17143784046729707, 0.023072929673071486, -0.06219193103024736, -0.056521374522708355, 0.1723028077482013, 0.036860266712028536, 0.014791215950390324, 0.06409390157787129, -0.1952850276749814, -0.2229747306846548, 0.35709507191786544, -0.01766399249463575, -0.2521930608618277, 0.16387641113251447, -0.10916600680793635, -0.23470071934279985, 0.22926658393116667, -0.06829340517288074, 0.09698913623578846, 0.01634755088016391, 0.10639124661611277, -0.1392882350482978, 0.05536190927959979, 0.14946777336881495, -0.04434950111317448, 0.20809666336281224, 0.02469792617193889, 0.0919313234539004, 0.17001244843995664, -0.04507399366702884, -0.07699408309417777, -0.2696748736896552, -0.3061277051034267, -0.16066548712551593, 0.08857054748514201, -0.15231796087446128, -0.16428828696080017, 0.4782790828961879, 0.015856276615522802, 0.1490607410436496, 0.2753608822240494, 0.3184832387138158, -0.0014569409308023752, 0.06261175024847035, 0.04888928881846368, 0.104020677623339, 0.23674687980965245, 0.032789991473146075, -0.10691217511339346, 0.03708030182751827, 0.2886613688606303] |
708.325 | Topological estimation of percolation thresholds | Global physical properties of random media change qualitatively at a
percolation threshold, where isolated clusters merge to form one infinite
connected component. The precise knowledge of percolation thresholds is thus of
paramount importance. For two dimensional lattice graphs, we use the universal
scaling form of the cluster size distributions to derive a relation between the
mean Euler characteristic of the critical percolation patterns and the
threshold density $p_c$. From this relation, we deduce a simple rule to
estimate $p_c$, which is remarkably accurate. We present some evidence that
similar relations might hold for continuum percolation and percolation in
higher dimensions.
| cond-mat.stat-mech | global physical properties of random media change qualitatively at a percolation threshold where isolated clusters merge to form one infinite connected component the precise knowledge of percolation thresholds is thus of paramount importance for two dimensional lattice graphs we use the universal scaling form of the cluster size distributions to derive a relation between the mean euler characteristic of the critical percolation patterns and the threshold density p_c from this relation we deduce a simple rule to estimate p_c which is remarkably accurate we present some evidence that similar relations might hold for continuum percolation and percolation in higher dimensions | [['global', 'physical', 'properties', 'of', 'random', 'media', 'change', 'qualitatively', 'at', 'a', 'percolation', 'threshold', 'where', 'isolated', 'clusters', 'merge', 'to', 'form', 'one', 'infinite', 'connected', 'component', 'the', 'precise', 'knowledge', 'of', 'percolation', 'thresholds', 'is', 'thus', 'of', 'paramount', 'importance', 'for', 'two', 'dimensional', 'lattice', 'graphs', 'we', 'use', 'the', 'universal', 'scaling', 'form', 'of', 'the', 'cluster', 'size', 'distributions', 'to', 'derive', 'a', 'relation', 'between', 'the', 'mean', 'euler', 'characteristic', 'of', 'the', 'critical', 'percolation', 'patterns', 'and', 'the', 'threshold', 'density', 'p_c', 'from', 'this', 'relation', 'we', 'deduce', 'a', 'simple', 'rule', 'to', 'estimate', 'p_c', 'which', 'is', 'remarkably', 'accurate', 'we', 'present', 'some', 'evidence', 'that', 'similar', 'relations', 'might', 'hold', 'for', 'continuum', 'percolation', 'and', 'percolation', 'in', 'higher', 'dimensions']] | [-0.11173628364223986, 0.16019275477388872, -0.11972563190851361, 0.12853361897286958, -0.07228006778517738, -0.1341845396021381, 0.12683203465072437, 0.36757901556789874, -0.2320822275080718, -0.25261226477101445, 0.06435255065909587, -0.2720889142830856, -0.17579429999750573, 0.12592269147979096, 0.03479036540724337, 0.05079954249435104, -0.0072172307188156995, 0.08129319099709392, -0.05200667079305276, -0.21347663750872015, 0.3477848411700688, -0.026447156840004028, 0.31675307049183177, 0.07157968603889459, 0.040995203787460924, 0.004622772969305515, 0.021916566365398467, 0.06868041770998388, -0.23742569671281671, 0.0903713393752696, 0.21612026288261404, 0.050783150177448985, 0.2100586105277762, -0.36740847792476417, -0.21891097875777632, 0.11728306947275996, 0.1720730864815414, 0.11413257814361714, -0.004511476463230793, -0.21130718538770452, 0.10889866712968796, -0.14706519290572032, -0.21495878260582685, -0.013828459829092025, 0.07931031917454674, 0.05367491911165416, -0.2696209394466132, 0.14359564854763449, 0.07949310153257101, 0.05948623192496598, -0.04367843933403492, -0.09791806825436651, 0.01578009611926973, 0.18407250011339785, -0.04707353422883898, 0.007135038292035461, 0.13115820284001528, -0.163357311900254, -0.11205375746358186, 0.36567414497490974, 0.01695174678694457, -0.1210341539606452, 0.2089422222255962, -0.1931505605019629, -0.21137935803737493, 0.1314795568957925, 0.1649918271205388, 0.04562067307997495, -0.12368150935508311, -0.00035943533410318193, -0.03838030838989653, 0.16650439377874135, 0.06731683232821524, -0.008161894041113555, 0.19248234728816896, 0.16566551900468768, 0.09264256855472923, 0.13611480377730914, -0.06275082944950555, -0.13176620254060253, -0.29653456818312407, -0.10947593746808706, -0.18655275716912, 0.0986319299065508, -0.20002517518558308, -0.2158158262539655, 0.3097463394096121, 0.169669690769515, 0.2503054160065949, 0.12272105932817795, 0.19946091264486313, 0.14687403832562268, 0.04026820147875696, 0.08739130986854433, 0.192837213218736, 0.18885947748087348, 0.0389293038379401, -0.15688277167035267, 0.08456324506085366, 0.12255568583961576] |
708.3251 | Supplementary material: Topological estimation of percolation thresholds | This is supplementary material for the article arxiv:0708.3250. We provide an
alternative introduction of the mean Euler Characteristic, additional examples
and the percolation thresholds for 2-uniform lattices.
| cond-mat.stat-mech | this is supplementary material for the article arxiv07083250 we provide an alternative introduction of the mean euler characteristic additional examples and the percolation thresholds for 2uniform lattices | [['this', 'is', 'supplementary', 'material', 'for', 'the', 'article', 'arxiv07083250', 'we', 'provide', 'an', 'alternative', 'introduction', 'of', 'the', 'mean', 'euler', 'characteristic', 'additional', 'examples', 'and', 'the', 'percolation', 'thresholds', 'for', '2uniform', 'lattices']] | [-0.1468832339339245, 0.10825641813761859, -0.07957909719194643, 0.10858718463434623, -0.09426399578268711, -0.13212378967839938, 0.0060816354906329745, 0.3998124696887456, -0.26555826633165663, -0.24149123572099668, 0.13101028749504343, -0.2570507807854133, -0.1977839175826655, 0.1688603308195105, -0.04537757364316629, 0.024305521582181636, 0.019964201877323482, 0.049303269865609206, -0.04980467428238346, -0.3130354401297294, 0.3377509899168777, 0.07554949024835458, 0.23366537031072837, 0.11453717548955375, 0.08590037873587929, 0.003342849184544041, -0.007521818463618939, 0.0071898975337927155, -0.2868289563518304, 0.138995516866159, 0.18740755792420644, 0.020820922074982755, 0.21009247062297967, -0.37810519631378925, -0.2174091669730842, 0.07904593711002515, 0.12392697798518035, 0.16889678844465658, -0.05937909445940302, -0.23877035371529368, 0.07954376986107001, -0.16518404535376108, -0.17627044545056728, -0.05579201098030003, 0.03972582776959126, 0.06515918500148334, -0.28505680742315376, 0.019358148475965627, 0.14723560728061086, 0.20227087567148444, -0.08519912120335413, -0.18176281688591608, 0.10729617833231504, 0.08089199977425429, -0.008448314611226894, -0.0177007016654198, 0.03885803212268421, -0.1473498651668286, -0.11425680973423788, 0.36096576042473316, -0.007160744916361112, -0.20023081695231107, 0.1971807242012941, -0.0019356820087593335, -0.12204927570508936, 0.13795529996367314, 0.15753349883911702, 0.07267848683449511, -0.12743179102499896, 0.0399276627061996, -0.07925929145242733, 0.10249532096517774, 0.04232006394662536, 0.035328424034210354, 0.1619737191269031, 0.15288845899228293, 0.10201984461253652, 0.1922173394302193, -0.06365656748843881, -0.04317112227615256, -0.4245017758355691, -0.26910071114364725, -0.1911030622700659, 0.10225902343741976, -0.1144839997505187, -0.21219031168864325, 0.4023585215640756, 0.16314545832574368, 0.15678034794445223, 0.07242120992249021, 0.22049228388529557, 0.13302763648187885, -0.024328714252288382, 0.0275202359054954, 0.1716563511917439, 0.1403765009286312, 0.051671458121675715, -0.11161326840878107, 0.026492340937973216, 0.11464919542105725] |
708.3252 | Generalized Relativistic Chapman-Enskog Solution of the Boltzmann
Equation | The Chapman-Enskog method of solution of the relativistic Boltzmann equation
is generalized in order to admit a time-derivative term associated to a
thermodynamic force in its first order solution. Both existence and uniqueness
of such a solution are proved based on the standard theory of integral
equations. The mathematical implications of the generalization here introduced
are thoroughly discussed regarding the nature of heat as chaotic energy
transfer in the context of relativity theory.
| gr-qc | the chapmanenskog method of solution of the relativistic boltzmann equation is generalized in order to admit a timederivative term associated to a thermodynamic force in its first order solution both existence and uniqueness of such a solution are proved based on the standard theory of integral equations the mathematical implications of the generalization here introduced are thoroughly discussed regarding the nature of heat as chaotic energy transfer in the context of relativity theory | [['the', 'chapmanenskog', 'method', 'of', 'solution', 'of', 'the', 'relativistic', 'boltzmann', 'equation', 'is', 'generalized', 'in', 'order', 'to', 'admit', 'a', 'timederivative', 'term', 'associated', 'to', 'a', 'thermodynamic', 'force', 'in', 'its', 'first', 'order', 'solution', 'both', 'existence', 'and', 'uniqueness', 'of', 'such', 'a', 'solution', 'are', 'proved', 'based', 'on', 'the', 'standard', 'theory', 'of', 'integral', 'equations', 'the', 'mathematical', 'implications', 'of', 'the', 'generalization', 'here', 'introduced', 'are', 'thoroughly', 'discussed', 'regarding', 'the', 'nature', 'of', 'heat', 'as', 'chaotic', 'energy', 'transfer', 'in', 'the', 'context', 'of', 'relativity', 'theory']] | [-0.1257792541100197, 0.028226602624795618, -0.1120441505902332, 0.09108280596699668, -0.08715249886353539, -0.07660552073423177, -0.007405918898469169, 0.2398366811047372, -0.30334839189093404, -0.25290996053141274, 0.11503323449032407, -0.27809906806414053, -0.1699241477332703, 0.18630252820631005, -0.022194387085021357, 0.11022949794049004, 0.03079793961999351, 0.07794707056696284, -0.0787804763929995, -0.20189714581029464, 0.337392785969152, 0.05900473771967657, 0.2458018697256044, 0.07168973006040164, 0.14899888360388067, -0.04064073707678751, -0.030000222732045063, 0.05282941871411996, -0.1520007204213371, 0.10389520849216066, 0.20010283302311618, 0.05899602815840546, 0.3042220872609991, -0.4536577326641099, -0.251058941464616, 0.05635887619796885, 0.08503343387704648, 0.10750417695827272, -0.05796407718906715, -0.25029309173050807, 0.06246524010721135, -0.1839666426283856, -0.20983427188882273, -0.12597003952944524, -0.012464945166282458, 0.05419401175737994, -0.2259299778060554, 0.15222204104065895, 0.08319737607842848, 0.0009930652946198665, -0.16354036170587402, -0.0692825822768835, -0.002182277959248383, 0.043038089300365484, 0.07990010176970279, -0.007509014696801362, 0.03297649242290079, -0.14166313869087663, -0.13026912888027217, 0.43104244278718346, -0.08375748151543308, -0.27364254520874315, 0.1527459417590999, -0.1083243109974755, -0.10710947304862002, 0.08939667283365987, 0.13108548402071815, 0.17059887582053468, -0.19042049551204052, 0.14336994733607192, -0.02222603505911076, 0.09510325091852717, 0.08367113131162239, 0.040356556183263045, 0.14702099565518637, 0.16239107243257433, 0.022754265671621445, 0.11434888963472761, -0.017944171881998493, -0.21243946815598502, -0.3633094403943787, -0.18490372490686402, -0.19516330998237819, 0.08579436540348481, -0.08035190213987546, -0.19900743487890657, 0.3792955518432268, 0.15930037302513644, 0.1045099029904359, 0.02172291903973442, 0.25378875157872394, 0.1821950086032053, -0.027563926342823734, 0.05171735711676413, 0.2633361976014846, 0.23561121181789021, 0.1548389762907914, -0.2507384047374665, 0.036584608448184515, 0.20397643100355484] |
708.3253 | Complex X-ray morphology of Abell 3128: A distant cluster behind a
disturbed cluster | We present here the results of a detailed study of the X-ray properties of
the cluster of galaxies Abell 3128 (z=0.06), based on the analysis of deep (100
ks) XMM-Newton data. The most obvious feature of the X-ray morphology of A3128
is the presence of two X-ray peaks separated by ~12'. By detecting the
redshifted Fe K line, we find that the Northeast (NE) X-ray peak observed
toward A3128 is a distant luminous cluster of galaxies at redshift z=0.44. Our
subsequent optical spectroscopic observation of a distant radio bright galaxy
in the centre of the NE X-ray peak with the Magellan telescope also revealed a
redshift of z=0.44, confirming the association of the galaxy with the cluster
seen in X-rays. We detect a gravitational arc around the galaxy. The properties
of this galaxy indicate that it is the cD galaxy of the cluster in the
background. The properties of the Southwest X-ray peak suggest that it is the
core of a group merging with A3128 along our line of sight. Based on 2D maps of
thermodynamic properties of the intra-cluster medium determined after
subtracting a model for the background cluster, we conclude that an enhanced
surface brightness region at a distance of ~2.8' from the centre of the galaxy
distribution is the centre of the gravitational potential of the cluster A3128.
The unrelaxed nature of A3128 can be attributed to its location in the high
density environment of the Horologium-Reticulum supercluster.
| astro-ph | we present here the results of a detailed study of the xray properties of the cluster of galaxies abell 3128 z006 based on the analysis of deep 100 ks xmmnewton data the most obvious feature of the xray morphology of a3128 is the presence of two xray peaks separated by 12 by detecting the redshifted fe k line we find that the northeast ne xray peak observed toward a3128 is a distant luminous cluster of galaxies at redshift z044 our subsequent optical spectroscopic observation of a distant radio bright galaxy in the centre of the ne xray peak with the magellan telescope also revealed a redshift of z044 confirming the association of the galaxy with the cluster seen in xrays we detect a gravitational arc around the galaxy the properties of this galaxy indicate that it is the cd galaxy of the cluster in the background the properties of the southwest xray peak suggest that it is the core of a group merging with a3128 along our line of sight based on 2d maps of thermodynamic properties of the intracluster medium determined after subtracting a model for the background cluster we conclude that an enhanced surface brightness region at a distance of 28 from the centre of the galaxy distribution is the centre of the gravitational potential of the cluster a3128 the unrelaxed nature of a3128 can be attributed to its location in the high density environment of the horologiumreticulum supercluster | [['we', 'present', 'here', 'the', 'results', 'of', 'a', 'detailed', 'study', 'of', 'the', 'xray', 'properties', 'of', 'the', 'cluster', 'of', 'galaxies', 'abell', '3128', 'z006', 'based', 'on', 'the', 'analysis', 'of', 'deep', '100', 'ks', 'xmmnewton', 'data', 'the', 'most', 'obvious', 'feature', 'of', 'the', 'xray', 'morphology', 'of', 'a3128', 'is', 'the', 'presence', 'of', 'two', 'xray', 'peaks', 'separated', 'by', '12', 'by', 'detecting', 'the', 'redshifted', 'fe', 'k', 'line', 'we', 'find', 'that', 'the', 'northeast', 'ne', 'xray', 'peak', 'observed', 'toward', 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708.3254 | Applications of Wallis Theorem | In this paper we present theorems and applications of Wallis theorem related
to trigonometric integrals.
| math.GM | in this paper we present theorems and applications of wallis theorem related to trigonometric integrals | [['in', 'this', 'paper', 'we', 'present', 'theorems', 'and', 'applications', 'of', 'wallis', 'theorem', 'related', 'to', 'trigonometric', 'integrals']] | [-0.13692115557690462, -0.039020962578554946, -0.13036533507208029, 0.0738628476470088, -0.08109455928206444, -0.04707406175633271, 0.1143119443130369, 0.3047295778989792, -0.2763807972272237, -0.2019689771036307, 0.16857074771542102, -0.25063352833191554, -0.24308801020185153, 0.3201449568072955, -0.2673429522663355, 0.07544900166491668, 0.1009431761999925, -0.051122174287835755, -0.12819686649988096, -0.26733351896206536, 0.3304250292479992, -0.07483894899487495, 0.0940648166462779, 0.16583606762190659, 0.10830990529308716, 0.08078812553236882, -0.14385549972454706, -0.10349292072157065, -0.26634109392762184, 0.2695301350206137, 0.3463986991904676, 0.06370180044323207, 0.23691850335647663, -0.34787105917930605, -0.02537705854823192, 0.15856208962698778, 0.14978492707014085, 0.05176079695423444, 0.007435170250634352, -0.28162966469923656, 0.013542595878243446, -0.17598729903499286, -0.2926413503785928, -0.16198765548566976, 0.03479590490460396, 0.10510909433166186, -0.2079125848909219, 0.19056085987637442, 0.1713569858421882, 0.08653524859497945, -0.057703595608472824, -0.1501383620003859, 0.19057518433158596, 0.051626265173157056, 0.10465595163404942, 0.026595145650207996, 0.005235114724685749, -0.05248113446868956, -0.23571408664186796, 0.33725446872413156, -0.04300532723621776, -0.20626916649440924, 0.12462271178762117, -0.1151702751715978, -0.3200107711056868, -0.019845604648192725, 0.2054811965674162, 0.2084955306723714, -0.22312095059702794, 0.12952284728720162, -0.033333755532900494, 0.023512275020281474, 0.2022854333743453, 0.08279495512445768, 0.05055602894475063, 0.02181523082156976, 0.0116772319500645, 0.2231028748055299, 0.002833293875058492, -0.08151980141798655, -0.34746506114800774, -0.2326087665433685, -0.16993762850761412, 0.07490697329243025, -0.04834161360340659, -0.22585338577628136, 0.36859473722676434, 0.21057124116147558, 0.06892075923581918, 0.13055385084201893, 0.2371111402908961, 0.19897026854256789, 0.02190232990930478, 0.02137585251281659, 0.13606051877140998, 0.291460266460975, 0.19447453158597153, -0.046562367429335914, -0.09659042740240693, 0.203932326224943] |
708.3255 | New H2 Jets in Monoceros R2 | We are presenting a wide-field image of the Mon R2 star forming region
obtained with WFCAM on UKIRT in the 2.12 micron filter centered on the H2 1--0
S(1) emission line. We report the discovery of 15 new H2 jets in Mon R2 and two
in L 1646 and confirm most of these discoveries using archival Spitzer IRAC 4.5
and 8.0 micron images. We find that many of these protostellar jets are found
in projection against the outflow cavities of the huge CO outflow in Mon R2,
suggesting that the jets may be associated with an episode of star formation in
Mon R2 triggered by this large, but now fossil, outflow. We also study the
spatial distribution of small, localized reflection nebulae and find that these
are distributed in the same way as photometrically identified Class I sources.
| astro-ph | we are presenting a widefield image of the mon r2 star forming region obtained with wfcam on ukirt in the 212 micron filter centered on the h2 10 s1 emission line we report the discovery of 15 new h2 jets in mon r2 and two in l 1646 and confirm most of these discoveries using archival spitzer irac 45 and 80 micron images we find that many of these protostellar jets are found in projection against the outflow cavities of the huge co outflow in mon r2 suggesting that the jets may be associated with an episode of star formation in mon r2 triggered by this large but now fossil outflow we also study the spatial distribution of small localized reflection nebulae and find that these are distributed in the same way as photometrically identified class i sources | [['we', 'are', 'presenting', 'a', 'widefield', 'image', 'of', 'the', 'mon', 'r2', 'star', 'forming', 'region', 'obtained', 'with', 'wfcam', 'on', 'ukirt', 'in', 'the', '212', 'micron', 'filter', 'centered', 'on', 'the', 'h2', '10', 's1', 'emission', 'line', 'we', 'report', 'the', 'discovery', 'of', '15', 'new', 'h2', 'jets', 'in', 'mon', 'r2', 'and', 'two', 'in', 'l', '1646', 'and', 'confirm', 'most', 'of', 'these', 'discoveries', 'using', 'archival', 'spitzer', 'irac', '45', 'and', '80', 'micron', 'images', 'we', 'find', 'that', 'many', 'of', 'these', 'protostellar', 'jets', 'are', 'found', 'in', 'projection', 'against', 'the', 'outflow', 'cavities', 'of', 'the', 'huge', 'co', 'outflow', 'in', 'mon', 'r2', 'suggesting', 'that', 'the', 'jets', 'may', 'be', 'associated', 'with', 'an', 'episode', 'of', 'star', 'formation', 'in', 'mon', 'r2', 'triggered', 'by', 'this', 'large', 'but', 'now', 'fossil', 'outflow', 'we', 'also', 'study', 'the', 'spatial', 'distribution', 'of', 'small', 'localized', 'reflection', 'nebulae', 'and', 'find', 'that', 'these', 'are', 'distributed', 'in', 'the', 'same', 'way', 'as', 'photometrically', 'identified', 'class', 'i', 'sources']] | [-0.08171412235875007, 0.07331912262473624, -0.012202014586469833, 0.0225894000689985, -0.06398315256650465, -0.09513164713533352, 0.011232920730000606, 0.4769070217844801, -0.17477447488024642, -0.30560483072169015, 0.10810202248715053, -0.2908832444201993, -0.05621393381590969, 0.16159101035800236, -0.05095437920734158, -0.04011796568090137, 0.05763334733521755, -0.14229443100402536, -0.005205207931188245, -0.28008312084104703, 0.2746956981220823, 0.015739604763254738, 0.12436954874167408, -0.013850111489865822, 0.036715873890384304, -0.15014136024156882, -0.12075212048839076, -0.045723495065180614, -0.15018365152454993, 0.07541212758751235, 0.2263787683703518, 0.12151757902313914, 0.20062416731609806, -0.34443975948522787, -0.18428509666726156, 0.0007698477644041396, 0.20267526810588923, -0.012344333680643551, -0.04441318056795854, -0.30953019826025097, 0.08382360962138552, -0.17030888320743173, -0.1640713213963191, 0.05814664897279463, 0.06937778833325602, 0.06262810591547548, -0.23586444427475226, 0.10193834771158383, 0.006454263526129712, 0.13195774873062308, -0.14744983888838603, -0.11375588839671211, -0.09961396518190378, 0.029660896047193935, 0.009573066559876654, 0.1484919529884001, 0.14466812884758995, -0.1514186657934814, -0.0650815054288377, 0.3789724722146934, -0.08743397098547523, 0.006468222955700712, 0.2621238550063277, -0.2624838160050601, -0.21553578697806358, 0.19179977367098944, 0.13690751170793522, 0.14830891055770326, -0.14388455039664658, -0.005537620200218795, -0.052296148980900216, 0.19866906545982035, 0.06962016331828266, 0.10849417617799295, 0.2795070888258625, 0.06737339401371319, 0.008474961815290559, 0.15111401610909894, -0.32084622406577895, -0.061064612990130496, -0.2886269667145351, -0.12289525449033016, -0.1521607567826151, 0.08977806928527096, -0.13584446018870475, -0.0917311970153368, 0.29952323227442557, 0.08813156840219365, 0.2379557691190554, -0.030493268283401223, 0.2456873464863642, 0.029881603738286303, 0.11834083110822932, 0.16682629841312335, 0.3311499027751278, 0.10166562290733977, 0.10777543989968473, -0.17856951346755892, 0.03360955494091562, -0.0029639772854853368] |
708.3256 | The width difference of rho vector mesons | We compute the difference in decay widths of charged and neutral \rho(770)
vector mesons. The isospin breaking arising from mass differences of neutral
and charged \pi and \rho mesons, radiative corrections to \rho -> \pi\pi, and
the \rho -> \pi\pi\gamma decays are taken into account. It is found that the
width difference \Delta \Gamma_rho is very sensitive ot the isospin breaking in
the $\rho$ meson mass \Delta m_\rho. This result can be useful to test the
correlations observed between the values of these parameters extracted from
experimental data.
| hep-ph | we compute the difference in decay widths of charged and neutral rho770 vector mesons the isospin breaking arising from mass differences of neutral and charged pi and rho mesons radiative corrections to rho pipi and the rho pipigamma decays are taken into account it is found that the width difference delta gamma_rho is very sensitive ot the isospin breaking in the rho meson mass delta m_rho this result can be useful to test the correlations observed between the values of these parameters extracted from experimental data | [['we', 'compute', 'the', 'difference', 'in', 'decay', 'widths', 'of', 'charged', 'and', 'neutral', 'rho770', 'vector', 'mesons', 'the', 'isospin', 'breaking', 'arising', 'from', 'mass', 'differences', 'of', 'neutral', 'and', 'charged', 'pi', 'and', 'rho', 'mesons', 'radiative', 'corrections', 'to', 'rho', 'pipi', 'and', 'the', 'rho', 'pipigamma', 'decays', 'are', 'taken', 'into', 'account', 'it', 'is', 'found', 'that', 'the', 'width', 'difference', 'delta', 'gamma_rho', 'is', 'very', 'sensitive', 'ot', 'the', 'isospin', 'breaking', 'in', 'the', 'rho', 'meson', 'mass', 'delta', 'm_rho', 'this', 'result', 'can', 'be', 'useful', 'to', 'test', 'the', 'correlations', 'observed', 'between', 'the', 'values', 'of', 'these', 'parameters', 'extracted', 'from', 'experimental', 'data']] | [-0.09599309578148085, 0.28111735892720346, -0.0857942927111655, 0.17323975789842608, -0.0188415105790333, -0.169666534300547, 0.05505309957702276, 0.3189366065821242, -0.23458655900863368, -0.25347627287860525, -0.06196129146075353, -0.37254760604958204, 0.03522199898048542, 0.07099650108233788, 0.11674175263100932, 0.06484859409694002, 0.06021826326045706, 0.03360581068257087, -0.09079713350822499, -0.1216963458275639, 0.30768462524446116, -0.06386696632821547, 0.1773508072256782, 0.18512385760347339, -0.04325543546529357, -0.02604646553545324, -0.047981690490878255, -0.049575375717913, -0.15791457232270933, 0.018280296066645964, 0.2074088458578254, 0.06783906751593878, 0.08615465264885516, -0.2989918270451558, -0.08002069230776193, 0.17753112140154942, 0.17944754777627803, 0.0887803508802642, -0.01965008391240655, -0.37650134132871793, 0.09397521697331307, -0.12434437559771373, -0.09646424385827294, -0.09945331171674784, 0.07885184863969402, -0.0781926924666, -0.358905699147388, 0.14633045013084314, -0.07392931183283001, -0.002768767101495245, -0.053728607079815555, -0.283340722078804, -0.08114944887618253, 0.0924100485781944, 0.18268218177890536, 0.09899193305673815, 0.1895388976405483, -0.14143987514111106, -0.022930619978280956, 0.4208040538698781, -0.08125340973221978, -0.1997842253294102, 0.08598839331331641, -0.17944495704804742, -0.11057643535503642, 0.1777186156142243, 0.20410861675681677, 0.03839691629806577, -0.14605656127055544, 0.08328568666556113, -0.04002607360937048, 0.20844437706089297, 0.06611892042226743, 0.10677089033171881, 0.16144945381512477, 0.09890876286446529, -0.07719215875231596, 0.05654789244100928, -0.11555376329979059, -0.09388060984201729, -0.363369683059593, -0.1201884557850399, -0.07287423501365146, 0.09593911363938173, -0.08320432834172903, -0.035292146944029386, 0.3386681491379128, 0.04790088252251058, 0.3113010869318143, 0.016593144651567346, 0.3020787995936739, 0.13028828369800088, 0.10136790247634053, 0.08041374566206752, 0.2882240079343319, 0.250867297288117, 0.14171291639226988, -0.35738106524615093, 0.020142492410445283, 0.0047648383770138025] |
708.3257 | Tong's spectrum for Rosen continued fractions | The Rosen fractions are an infinite set of continued fraction algorithms,
each giving expansions of real numbers in terms of certain algebraic integers.
For each, we give a best possible upper bound for the minimum in appropriate
consecutive blocks of approximation coefficients (in the sense of Diophantine
approximation by continued fraction convergents). We also obtain metrical
results for large blocks of ``bad'' approximations.
| math.NT | the rosen fractions are an infinite set of continued fraction algorithms each giving expansions of real numbers in terms of certain algebraic integers for each we give a best possible upper bound for the minimum in appropriate consecutive blocks of approximation coefficients in the sense of diophantine approximation by continued fraction convergents we also obtain metrical results for large blocks of bad approximations | [['the', 'rosen', 'fractions', 'are', 'an', 'infinite', 'set', 'of', 'continued', 'fraction', 'algorithms', 'each', 'giving', 'expansions', 'of', 'real', 'numbers', 'in', 'terms', 'of', 'certain', 'algebraic', 'integers', 'for', 'each', 'we', 'give', 'a', 'best', 'possible', 'upper', 'bound', 'for', 'the', 'minimum', 'in', 'appropriate', 'consecutive', 'blocks', 'of', 'approximation', 'coefficients', 'in', 'the', 'sense', 'of', 'diophantine', 'approximation', 'by', 'continued', 'fraction', 'convergents', 'we', 'also', 'obtain', 'metrical', 'results', 'for', 'large', 'blocks', 'of', 'bad', 'approximations']] | [-0.22322574427853975, 0.10276521841597204, -0.05141406904699074, 0.07657507765624258, -0.04076773997041441, -0.06527108367207268, 0.15896729362152873, 0.2586038785225283, -0.23471292285692125, -0.2675949651156626, 0.09412290598820186, -0.2728407953880609, -0.1470628837567, 0.21557069266961504, -0.05952618612597386, 0.08873081241276055, 0.05047991900660452, 0.07061704370887979, -0.06979499037455146, -0.3943929173466232, 0.2553582399093088, -0.014867552097827669, 0.17711970937393962, 0.030229767991436854, 0.09821031601833445, 0.013617555921276411, -0.034430158161927786, -0.017228338616116654, -0.1763551024394849, 0.12331532057197321, 0.31944118144493255, 0.14183989048950255, 0.2777193510934474, -0.41877865236962125, -0.03971033286865032, 0.15963874785839358, 0.19015314246690462, 0.06316505830054955, 0.004140462061124188, -0.20396230425981302, 0.09323893370668566, -0.16009762574870523, -0.16901440208866483, -0.11243398138691509, 0.08915732085468277, 0.11753503738769464, -0.2979248539352464, 0.05090519892271712, 0.04404492791564692, 0.06231184724657353, -0.07779616814491058, -0.1912115966099211, 0.10898347576296637, 0.12555768544460455, 0.02011594507429335, -0.0259672910684631, 0.02963457852306347, -0.1045017685179436, -0.09583364817173412, 0.3532639899778934, -0.074641482963685, -0.22577270216101575, 0.09980930322929034, -0.1953012272493825, -0.15795215384088576, 0.1836372667273122, 0.154560301763316, 0.10482626591646482, -0.056637195729842736, 0.13257920987431018, -0.13340798160800385, 0.11359898267047745, 0.17754118241340158, 0.04868329796821825, 0.1737710621119255, 0.01323557538645608, 0.04744653556022852, 0.17501954797522298, 0.06280231194215871, -0.05692579473150776, -0.3289675772659451, -0.16707818105628358, -0.17021021603177938, 0.06284238182244793, -0.21046697980325138, -0.23957123078169332, 0.3294948722376296, 0.055514035192096516, 0.23194987876784234, 0.1481516132692969, 0.2658488211177644, 0.17192909050024197, -0.005635456204236973, 0.06428738802464472, 0.16917909652600804, 0.1770008132785618, -0.029661253364461047, -0.12153878456188573, 0.06537385899869222, 0.2089821994156828] |
708.3258 | The XMM Cluster Survey: The Dynamical State of XMMXCS J2215.9-1738 at
z=1.457 | We present new spectroscopic observations of the most distant X-ray selected
galaxy cluster currently known, XMMXCS J2215.9-1738 at z=1.457, obtained with
the DEIMOS instrument at the W. M. Keck Observatory, and the FORS2 instrument
on the ESO Very Large Telescope. Within the cluster virial radius, as estimated
from the cluster X-ray properties, we increase the number of known
spectroscopic cluster members to 17 objects, and calculate the line of sight
velocity dispersion of the cluster to be 580+/-140 km/s. We find mild evidence
that the velocity distribution of galaxies within the virial radius deviates
from a single Gaussian. We show that the properties of J2215.9-1738 are
inconsistent with self-similar evolution of local X-ray scaling relations,
finding that the cluster is underluminous given its X-ray temperature, and that
the intracluster medium contains ~2-3 times the kinetic energy per unit mass of
the cluster galaxies. These results can perhaps be explained if the cluster is
observed in the aftermath of an off-axis merger. Alternatively, heating of the
intracluster medium through supernovae and/or Active Galactic Nuclei activity,
as is required to explain the observed slope of the local X-ray
luminosity-temperature relation, may be responsible.
| astro-ph | we present new spectroscopic observations of the most distant xray selected galaxy cluster currently known xmmxcs j221591738 at z1457 obtained with the deimos instrument at the w m keck observatory and the fors2 instrument on the eso very large telescope within the cluster virial radius as estimated from the cluster xray properties we increase the number of known spectroscopic cluster members to 17 objects and calculate the line of sight velocity dispersion of the cluster to be 580140 kms we find mild evidence that the velocity distribution of galaxies within the virial radius deviates from a single gaussian we show that the properties of j221591738 are inconsistent with selfsimilar evolution of local xray scaling relations finding that the cluster is underluminous given its xray temperature and that the intracluster medium contains 23 times the kinetic energy per unit mass of the cluster galaxies these results can perhaps be explained if the cluster is observed in the aftermath of an offaxis merger alternatively heating of the intracluster medium through supernovae andor active galactic nuclei activity as is required to explain the observed slope of the local xray luminositytemperature relation may be responsible | [['we', 'present', 'new', 'spectroscopic', 'observations', 'of', 'the', 'most', 'distant', 'xray', 'selected', 'galaxy', 'cluster', 'currently', 'known', 'xmmxcs', 'j221591738', 'at', 'z1457', 'obtained', 'with', 'the', 'deimos', 'instrument', 'at', 'the', 'w', 'm', 'keck', 'observatory', 'and', 'the', 'fors2', 'instrument', 'on', 'the', 'eso', 'very', 'large', 'telescope', 'within', 'the', 'cluster', 'virial', 'radius', 'as', 'estimated', 'from', 'the', 'cluster', 'xray', 'properties', 'we', 'increase', 'the', 'number', 'of', 'known', 'spectroscopic', 'cluster', 'members', 'to', '17', 'objects', 'and', 'calculate', 'the', 'line', 'of', 'sight', 'velocity', 'dispersion', 'of', 'the', 'cluster', 'to', 'be', '580140', 'kms', 'we', 'find', 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708.3259 | Fast evaluation of union-intersection expressions | We show how to represent sets in a linear space data structure such that
expressions involving unions and intersections of sets can be computed in a
worst-case efficient way. This problem has applications in e.g. information
retrieval and database systems. We mainly consider the RAM model of
computation, and sets of machine words, but also state our results in the I/O
model. On a RAM with word size $w$, a special case of our result is that the
intersection of $m$ (preprocessed) sets, containing $n$ elements in total, can
be computed in expected time $O(n (\log w)^2 / w + km)$, where $k$ is the
number of elements in the intersection. If the first of the two terms
dominates, this is a factor $w^{1-o(1)}$ faster than the standard solution of
merging sorted lists. We show a cell probe lower bound of time $\Omega(n/(w m
\log m)+ (1-\tfrac{\log k}{w}) k)$, meaning that our upper bound is nearly
optimal for small $m$. Our algorithm uses a novel combination of approximate
set representations and word-level parallelism.
| cs.DS cs.DB cs.IR | we show how to represent sets in a linear space data structure such that expressions involving unions and intersections of sets can be computed in a worstcase efficient way this problem has applications in eg information retrieval and database systems we mainly consider the ram model of computation and sets of machine words but also state our results in the io model on a ram with word size w a special case of our result is that the intersection of m preprocessed sets containing n elements in total can be computed in expected time on log w2 w km where k is the number of elements in the intersection if the first of the two terms dominates this is a factor w1o1 faster than the standard solution of merging sorted lists we show a cell probe lower bound of time omeganw m log m 1tfraclog kw k meaning that our upper bound is nearly optimal for small m our algorithm uses a novel combination of approximate set representations and wordlevel parallelism | [['we', 'show', 'how', 'to', 'represent', 'sets', 'in', 'a', 'linear', 'space', 'data', 'structure', 'such', 'that', 'expressions', 'involving', 'unions', 'and', 'intersections', 'of', 'sets', 'can', 'be', 'computed', 'in', 'a', 'worstcase', 'efficient', 'way', 'this', 'problem', 'has', 'applications', 'in', 'eg', 'information', 'retrieval', 'and', 'database', 'systems', 'we', 'mainly', 'consider', 'the', 'ram', 'model', 'of', 'computation', 'and', 'sets', 'of', 'machine', 'words', 'but', 'also', 'state', 'our', 'results', 'in', 'the', 'io', 'model', 'on', 'a', 'ram', 'with', 'word', 'size', 'w', 'a', 'special', 'case', 'of', 'our', 'result', 'is', 'that', 'the', 'intersection', 'of', 'm', 'preprocessed', 'sets', 'containing', 'n', 'elements', 'in', 'total', 'can', 'be', 'computed', 'in', 'expected', 'time', 'on', 'log', 'w2', 'w', 'km', 'where', 'k', 'is', 'the', 'number', 'of', 'elements', 'in', 'the', 'intersection', 'if', 'the', 'first', 'of', 'the', 'two', 'terms', 'dominates', 'this', 'is', 'a', 'factor', 'w1o1', 'faster', 'than', 'the', 'standard', 'solution', 'of', 'merging', 'sorted', 'lists', 'we', 'show', 'a', 'cell', 'probe', 'lower', 'bound', 'of', 'time', 'omeganw', 'm', 'log', 'm', '1tfraclog', 'kw', 'k', 'meaning', 'that', 'our', 'upper', 'bound', 'is', 'nearly', 'optimal', 'for', 'small', 'm', 'our', 'algorithm', 'uses', 'a', 'novel', 'combination', 'of', 'approximate', 'set', 'representations', 'and', 'wordlevel', 'parallelism']] | [-0.14662179064699948, 0.08683528537429604, -0.04792997243930586, 0.04562994171006028, -0.039877154212306434, -0.10020764826774775, 0.10052808764157817, 0.35647381472379147, -0.2890882508876357, -0.3362432190555237, 0.09057084848297693, -0.29316511133358636, -0.10648502315355775, 0.22367630879861758, -0.056085366118038237, 0.017874044543575673, 0.08552427654753306, 0.07764178480941891, -0.062067976131358935, -0.3070571277501239, 0.29290365348320585, -0.0020819322671741247, 0.23186310436271707, -0.012619718632084272, 0.08254182325479287, -0.023037296567400473, -0.022998343845496753, 0.022472049779892023, -0.10386805624732785, 0.14306585371447172, 0.25411144767089616, 0.17890574874694548, 0.2443446858808221, -0.38807948771864176, -0.1617275239356483, 0.12116093174942459, 0.1439633424413062, 0.07338473800614122, -0.009642891032854095, -0.20734043009690054, 0.13174009856135985, -0.1464390755974732, -0.044447173547398834, -0.05739362182794139, 0.07036206933359306, -0.00921592560397195, -0.2939467415344552, 0.008911051381195042, 0.09088259414974822, 0.024848503497023125, -0.03417891011035647, -0.15079137413219237, -0.0013533596245993284, 0.09261383661595617, -0.026793361236091835, 0.06514787804986727, 0.09023491411270308, -0.10065741223488225, -0.11713576482482797, 0.4014660968733508, -0.10525195093985185, -0.19650982600814176, 0.16584525310290268, -0.12797702605547828, -0.11658908581704877, 0.1065654795363246, 0.20948924548325262, 0.14351440768361845, -0.08247638211642402, 0.12091155919499995, -0.12227286218521408, 0.20162718086655895, 0.10411925170427865, 0.04071415180251712, 0.13501206412357056, 0.1733912948617823, 0.08706731694595267, 0.14033907269740234, -0.06404089595889673, -0.03434682578898944, -0.30152301950147375, -0.16451013083029206, -0.19355702695264926, 0.02555483501471047, -0.13467782712506873, -0.15392048496176444, 0.3255850639100009, 0.11818678218073078, 0.24417329174909919, 0.09272211776641641, 0.3125602030638783, 0.09524324573682125, 0.06971621410810344, 0.1653451896078574, 0.12693014082920162, 0.0733437589078676, 0.026931847792140962, -0.17584106256531196, 0.07179337198336032, 0.09218565160076] |
708.326 | Asymptotically Optimal Importance Sampling for Jackson Networks with a
Tree Topology | Importance sampling (IS) is a variance reduction method for simulating rare
events. A recent paper by Dupuis, Wang and Sezer (Ann. App. Probab. 17(4):1306-
1346, 2007) exploits connections between IS and stochastic games and optimal
control problems to show how to design and analyze simple and efficient IS
algorithms for various overflow events for tandem Jackson networks. The present
paper uses the same approach to build asymptotically optimal IS schemes for
stable open Jackson networks with a tree topology. Customers arrive at the
single root of the tree. The rare overflow event we consider is the following:
given that initially the network is empty, the system experiences a buffer
overflow before returning to the empty state. Two types of buffer structures
are considered: 1) A single system-wide buffer of size $n$ shared by all nodes,
2) each node $i$ has its own buffer of size $\beta_i n$, $\beta_i \in (0,1)$.
| math.PR | importance sampling is is a variance reduction method for simulating rare events a recent paper by dupuis wang and sezer ann app probab 1741306 1346 2007 exploits connections between is and stochastic games and optimal control problems to show how to design and analyze simple and efficient is algorithms for various overflow events for tandem jackson networks the present paper uses the same approach to build asymptotically optimal is schemes for stable open jackson networks with a tree topology customers arrive at the single root of the tree the rare overflow event we consider is the following given that initially the network is empty the system experiences a buffer overflow before returning to the empty state two types of buffer structures are considered 1 a single systemwide buffer of size n shared by all nodes 2 each node i has its own buffer of size beta_i n beta_i in 01 | [['importance', 'sampling', 'is', 'is', 'a', 'variance', 'reduction', 'method', 'for', 'simulating', 'rare', 'events', 'a', 'recent', 'paper', 'by', 'dupuis', 'wang', 'and', 'sezer', 'ann', 'app', 'probab', '1741306', '1346', '2007', 'exploits', 'connections', 'between', 'is', 'and', 'stochastic', 'games', 'and', 'optimal', 'control', 'problems', 'to', 'show', 'how', 'to', 'design', 'and', 'analyze', 'simple', 'and', 'efficient', 'is', 'algorithms', 'for', 'various', 'overflow', 'events', 'for', 'tandem', 'jackson', 'networks', 'the', 'present', 'paper', 'uses', 'the', 'same', 'approach', 'to', 'build', 'asymptotically', 'optimal', 'is', 'schemes', 'for', 'stable', 'open', 'jackson', 'networks', 'with', 'a', 'tree', 'topology', 'customers', 'arrive', 'at', 'the', 'single', 'root', 'of', 'the', 'tree', 'the', 'rare', 'overflow', 'event', 'we', 'consider', 'is', 'the', 'following', 'given', 'that', 'initially', 'the', 'network', 'is', 'empty', 'the', 'system', 'experiences', 'a', 'buffer', 'overflow', 'before', 'returning', 'to', 'the', 'empty', 'state', 'two', 'types', 'of', 'buffer', 'structures', 'are', 'considered', '1', 'a', 'single', 'systemwide', 'buffer', 'of', 'size', 'n', 'shared', 'by', 'all', 'nodes', '2', 'each', 'node', 'i', 'has', 'its', 'own', 'buffer', 'of', 'size', 'beta_i', 'n', 'beta_i', 'in', '01']] | [-0.1659339271273289, 0.10565224635389778, -0.016165904453861832, 0.06437247434526294, -0.05149326122509653, -0.21048921842328053, 0.1361651883152745, 0.3832787385822943, -0.2740863227260443, -0.2848890993631626, 0.11338554828305847, -0.30869710054436084, -0.1348110260785676, 0.12417477563073571, -0.11626140522026776, 0.0463502981239811, 0.0910505930043057, 0.045618765098324056, 0.005658390541129665, -0.30480974326504007, 0.28914906923040345, 0.09249044040330505, 0.27830064597527104, -0.010719528587446344, 0.1207591936487592, 0.017847685957477495, -0.01924739440828062, -0.022031279825355434, -0.11045428418153748, 0.07639390027975576, 0.2483771145656305, 0.17011817544854976, 0.33142569864281274, -0.4115152653031701, -0.18698984485013323, 0.06047775291825251, 0.1276029312353028, 0.09166188939101838, -0.02268558827341353, -0.21976128004916362, 0.15127640120191313, -0.1925460829730802, -0.09362023186849605, 0.008047926274047002, 0.08007782436407253, 0.053286880776661154, -0.3000697356042446, -0.003996892020437591, 0.04960093072040519, -0.0034951841108650968, -0.019221565577564072, -0.11318205673194447, -0.012649628640802565, 0.15526561179954634, -0.014520643962603438, 0.019707863244084304, 0.12085962984648427, -0.06191490380555991, -0.1748912179930098, 0.3298708161186027, 0.0057022917559432906, -0.1755058784944149, 0.1845775046260815, -0.05479134071693324, -0.13830643371935158, 0.12991628802268948, 0.1960033656638225, 0.09361384135527198, -0.16628905500116564, 0.08712882915591422, -0.04163819167687989, 0.1421749430213236, 0.11270484865030536, -0.02424701887664179, 0.1315433291324583, 0.2156240891480831, 0.08532615905102567, 0.1325398889282756, -0.08016838798074415, -0.10339177324867889, -0.24292262386016536, -0.15279396775572393, -0.17339633325905532, 0.03156458750217153, -0.07665046320041725, -0.15229452282327832, 0.3359701839844452, 0.128386880146127, 0.20994918961577969, 0.07682874076843461, 0.2820794241262237, 0.09082432338755403, -0.008270465059443408, 0.17157791180211127, 0.12385910098915982, 0.07766129026164445, 0.12498476584723232, -0.17912375275983206, 0.11709751836383628, 0.08968451716343329] |
708.3261 | Complex Structures on Principal Bundles | Holomorphic principal G-bundles over a complex manifold M can be studied
using non-abelian cohomology groups H^1(M,G). On the other hand, if M=\Sigma is
a closed Riemann surface, there is a correspondence between holomorphic
principal G-bundles over \Sigma and coadjoint orbits in the dual of a central
extension of the Lie algebra C^\infty(\Sigma, \g). We review these results and
provide the details of an integrability condition for almost complex structures
on smoothly trivial bundles. This article is a shortened version of the
author's Diplom thesis.
| math.DG math.CV | holomorphic principal gbundles over a complex manifold m can be studied using nonabelian cohomology groups h1mg on the other hand if msigma is a closed riemann surface there is a correspondence between holomorphic principal gbundles over sigma and coadjoint orbits in the dual of a central extension of the lie algebra cinftysigma g we review these results and provide the details of an integrability condition for almost complex structures on smoothly trivial bundles this article is a shortened version of the authors diplom thesis | [['holomorphic', 'principal', 'gbundles', 'over', 'a', 'complex', 'manifold', 'm', 'can', 'be', 'studied', 'using', 'nonabelian', 'cohomology', 'groups', 'h1mg', 'on', 'the', 'other', 'hand', 'if', 'msigma', 'is', 'a', 'closed', 'riemann', 'surface', 'there', 'is', 'a', 'correspondence', 'between', 'holomorphic', 'principal', 'gbundles', 'over', 'sigma', 'and', 'coadjoint', 'orbits', 'in', 'the', 'dual', 'of', 'a', 'central', 'extension', 'of', 'the', 'lie', 'algebra', 'cinftysigma', 'g', 'we', 'review', 'these', 'results', 'and', 'provide', 'the', 'details', 'of', 'an', 'integrability', 'condition', 'for', 'almost', 'complex', 'structures', 'on', 'smoothly', 'trivial', 'bundles', 'this', 'article', 'is', 'a', 'shortened', 'version', 'of', 'the', 'authors', 'diplom', 'thesis']] | [-0.24995532370873808, 0.04270719918282272, -0.13603633507959728, 0.057790050857964854, -0.1519169107447436, -0.12295060359548064, -0.03929202655261314, 0.3626853930361477, -0.26863073862307235, -0.19202098061825024, 0.13030761245344938, -0.21651441029008525, -0.17616044072273337, 0.21666607942811592, -0.13578343914281346, -0.05686890500034263, 0.07688311914005029, 0.12250457108947793, -0.1391526713024503, -0.27889180505349315, 0.4358417100307566, -0.03974356033758801, 0.21859644432724626, 0.05834445671212894, 0.08539474761274493, 0.016793256556546246, -0.015034707895491594, -0.015848392712665194, -0.13846910500002127, 0.14496728052373653, 0.3083105221430967, 0.012963208714845005, 0.19044685114841955, -0.38150670154618077, -0.14730477045048718, 0.1782419568784305, 0.14237629458952097, -0.030687564547047203, 0.020201265912526, -0.2925084438059985, 0.10542961809048314, -0.13764294849731673, -0.13298313726130642, -0.036006405328710876, 0.06634990494974234, -0.047207598342044355, -0.14568973023352433, 0.0022747433502916937, 0.10743413466592262, 0.1595773106486893, -0.09472017969223268, -0.07114741454018786, -0.10424715131636203, 0.05204557488028558, 0.023921732069280596, 0.08907936005220737, 0.14664378490321983, -0.061004193818748546, -0.10697079572343716, 0.34559710236427227, -0.08401356517325764, -0.25251897277287494, 0.14964919716671662, -0.1359201380868017, -0.20663825939926836, 0.10937108280551103, 0.09439507681290032, 0.18332044201339653, -0.023073054585651852, 0.22490181449519034, -0.15556542689187658, 0.0989214687573689, 0.06363023545903464, -0.06348650270130163, 0.21025664431767332, 0.13433595465921602, 0.08378758745980852, 0.07119889074669185, 0.0044179314942915495, -0.052701880109070995, -0.39141135773173086, -0.2335220998969435, -0.09305077928900259, 0.1775064527252574, -0.09378424487730638, -0.16527746904161356, 0.45225550797710445, 0.0328837378743898, 0.21627417452817346, 0.11354734265693912, 0.22430451777706176, 0.05007100362980301, 0.05756554363099973, 0.08498964402939618, 0.15541160548174823, 0.2928152955654595, -0.0544220594384558, -0.10181278553158965, -0.07657392083862681, 0.195870711054239] |
708.3262 | Exciton-Plasmon Coupling in Carbon Nanotubes | We study theoretically the interactions of excitonic states with surface
electromagnetic modes of small-diameter (~1 nm) semiconducting single-walled
carbon nanotubes. We show that these interactions can result in strong
exciton-surface-plasmon coupling. The exciton absorption lineshapes exhibit the
line (Rabi) splitting $~0.1-0.3$ eV as the exciton energy is tuned to the
nearest interband surface plasmon resonance of the nanotube. We expect this
effect to open a path to new optoelectronic device applications of
semiconducting carbon nanotubes.
| cond-mat.mes-hall | we study theoretically the interactions of excitonic states with surface electromagnetic modes of smalldiameter 1 nm semiconducting singlewalled carbon nanotubes we show that these interactions can result in strong excitonsurfaceplasmon coupling the exciton absorption lineshapes exhibit the line rabi splitting 0103 ev as the exciton energy is tuned to the nearest interband surface plasmon resonance of the nanotube we expect this effect to open a path to new optoelectronic device applications of semiconducting carbon nanotubes | [['we', 'study', 'theoretically', 'the', 'interactions', 'of', 'excitonic', 'states', 'with', 'surface', 'electromagnetic', 'modes', 'of', 'smalldiameter', '1', 'nm', 'semiconducting', 'singlewalled', 'carbon', 'nanotubes', 'we', 'show', 'that', 'these', 'interactions', 'can', 'result', 'in', 'strong', 'excitonsurfaceplasmon', 'coupling', 'the', 'exciton', 'absorption', 'lineshapes', 'exhibit', 'the', 'line', 'rabi', 'splitting', '0103', 'ev', 'as', 'the', 'exciton', 'energy', 'is', 'tuned', 'to', 'the', 'nearest', 'interband', 'surface', 'plasmon', 'resonance', 'of', 'the', 'nanotube', 'we', 'expect', 'this', 'effect', 'to', 'open', 'a', 'path', 'to', 'new', 'optoelectronic', 'device', 'applications', 'of', 'semiconducting', 'carbon', 'nanotubes']] | [-0.18576822174713015, 0.19829858232289552, 0.026451589637435973, 0.025585245167215664, -0.015325194535156092, -0.20069036248450478, 0.1024532762169838, 0.5612297397851944, -0.24726726678510508, -0.28008156157409153, -0.11725704221831014, -0.30565877974033356, -0.13708042862514655, 0.16054298972710968, 0.07001570340245962, -0.005719614873329799, 0.09531976915895939, -0.12888498822848002, 0.003739301838601629, -0.12445078331201027, 0.2461699114429454, 0.011775047653354704, 0.3171910670648019, 0.224874951976041, -0.017406864364941915, -0.04218214540121456, 0.21234809040402372, -0.044530755188316104, -0.18518668514104017, 0.13838325332462167, 0.2779632342606783, -0.16862536593340338, 0.22933044764523705, -0.41709966607391835, -0.19749035983035962, 0.02616969150180618, 0.19590064485867817, 0.18999574036647876, -0.03495149757713079, -0.3205604953380922, 0.05590720561643441, -0.12498773127794266, -0.11927317000925541, -0.019907317144485813, -0.0031891557077566783, 0.01551141737960279, -0.18814088250199953, 0.051344269141554835, 0.037928998161417746, 0.016432035868056118, -0.10484191119670867, -0.14144629719279087, -0.09186256523554524, 0.04138799424593647, 0.04073807280200223, -0.06418058028134208, 0.2898861683470507, -0.09517859138703595, -0.1337090285557012, 0.3911605063825846, -0.16265730908761422, -0.027885897643864156, 0.1479558275391658, -0.15011788345873356, 0.006482751785467068, 0.2115375856310129, 0.10376927663882574, 0.11396172101298968, -0.13541042181352775, 0.05056773153754572, 0.0006720741589864095, 0.1789558965448911, 0.07976643435579414, 0.19701667172834278, 0.26710351665475174, 0.20809835470591984, 0.03507518953333298, 0.10535214675590396, -0.15694355783363184, 0.03391027701087296, -0.17907034053156773, -0.21730108113959432, -0.20548720171054205, 0.17302888019631307, -0.02715287989762146, -0.2203539315611124, 0.4504793926514685, 0.10744414109115799, 0.14905236975600322, -0.028931477727989357, 0.2155546412865321, 0.13603191654973973, 0.10446139232022687, -0.0730878583776454, 0.34062723830342295, 0.23379786752164364, 0.07450299099087715, -0.3402263342899581, -0.05248927726099888, -0.05850323549782237] |
708.3263 | $G$-stable pieces and Lusztig's dimension estimates | We use $G$-stable pieces to construct some equidimensional varieties and as a
consequence, obtain Lusztig's dimension estimates \cite[section 4]{L2}. This is
a generalization of \cite{HL}.
| math.RT | we use gstable pieces to construct some equidimensional varieties and as a consequence obtain lusztigs dimension estimates citesection 4l2 this is a generalization of citehl | [['we', 'use', 'gstable', 'pieces', 'to', 'construct', 'some', 'equidimensional', 'varieties', 'and', 'as', 'a', 'consequence', 'obtain', 'lusztigs', 'dimension', 'estimates', 'citesection', '4l2', 'this', 'is', 'a', 'generalization', 'of', 'citehl']] | [-0.15643642142415046, -0.029172382280230523, -0.16352230720221997, 0.13085870318114756, -0.15914259059354663, -0.1317996161058545, 0.0003238565847277641, 0.272995098978281, -0.3084099464863539, -0.15438406243920327, 0.1158037225343287, -0.22865899935364722, -0.16947179138660431, 0.17961839605122804, -0.2662542742490768, -0.09187095642089843, 0.0731653954833746, 0.03624049238394946, -0.08038649301975966, -0.3327834323048592, 0.38728767182677987, -0.060692093456164005, 0.19391672156751155, 0.05301753908395767, 0.1323334418050945, -0.028296667654067277, 0.010562641955912113, -0.030706721246242522, -0.23060460440814495, 0.17673436049371957, 0.36860148079693317, 0.10923760292120278, 0.2159358023200184, -0.2776823728531599, -0.10712419336661697, 0.22179240450263024, 0.16130971111357212, 0.1090704344958067, 0.007249652519822121, -0.22871097177267075, 0.08847919084131718, -0.22704548507928848, -0.2300309268385172, -0.18788135088980198, 0.046508071599528196, -0.02412608414888382, -0.2582241193950176, -0.02663491327315569, 0.11497564062476158, 0.1395011597155826, -0.05991165995597839, -0.14132543295621872, -0.02022708758711815, 0.06530848340597004, -0.020946081103757022, 0.07221493478864431, 0.05529550990089774, -0.05622842321172357, -0.13870714098215103, 0.33316567657515406, -0.021890791170299052, -0.2715043641254306, 0.1403824542183429, -0.09097086597234011, -0.15055942060425878, 0.032797811329364775, 0.07596353884786368, 0.1237382909655571, 0.0013759039342403413, 0.11680879239691422, -0.20397726859897375, 0.06536906324326992, 0.14252028483897447, 0.051402046037837865, 0.08607590310275555, 0.08053022138774395, 0.09292353413999081, 0.19496694007888438, 0.02334795208182186, 0.0864133084565401, -0.35749202251434326, -0.25087885424494744, -0.106773996129632, 0.25191185254603626, -0.10231464555428829, -0.20384604811668397, 0.34125614192336795, 0.09281868260353804, 0.261935842782259, 0.17879903953522444, 0.244454025644809, 0.004614953990094364, 0.04553728234488517, 0.06024609951302409, 0.06317431761533954, 0.3179736194014549, -0.04936518095433712, -0.04268176189158112, -0.016563470488472377, 0.31192478485405445] |
708.3264 | Fields and Filaments in the Core of the Centaurus Cluster | We present high resolution images of the Faraday Rotation Measure (RM)
structure of the radio galaxy PKS 1246-410, at the center of the Centaurus
cluster. Comparison with Halpha-line and soft X-ray emission reveals a
correspondence between the line-emitting gas, the soft X-ray emitting gas,
regions with an excess in the RM images, and signs of depolarization. Magnetic
field strengths of 25 microG, organized on scales of ~1 kpc, and intermixed
with gas at a temperature of 5 x 10^6 K with a density of ~0.1 cm^-3 can
reproduce the observed RM excess, the depolarization, and the observed X-ray
surface brightness. This hot gas may be in pressure equilibrium with the
optical line-emitting gas, but the magnetic field strength of 25 microG
associated with the hot gas provides only 10% of the thermal pressure and is
therefore insufficient to account for the stability of the line-emitting
filaments.
| astro-ph | we present high resolution images of the faraday rotation measure rm structure of the radio galaxy pks 1246410 at the center of the centaurus cluster comparison with halphaline and soft xray emission reveals a correspondence between the lineemitting gas the soft xray emitting gas regions with an excess in the rm images and signs of depolarization magnetic field strengths of 25 microg organized on scales of 1 kpc and intermixed with gas at a temperature of 5 x 106 k with a density of 01 cm3 can reproduce the observed rm excess the depolarization and the observed xray surface brightness this hot gas may be in pressure equilibrium with the optical lineemitting gas but the magnetic field strength of 25 microg associated with the hot gas provides only 10 of the thermal pressure and is therefore insufficient to account for the stability of the lineemitting filaments | [['we', 'present', 'high', 'resolution', 'images', 'of', 'the', 'faraday', 'rotation', 'measure', 'rm', 'structure', 'of', 'the', 'radio', 'galaxy', 'pks', '1246410', 'at', 'the', 'center', 'of', 'the', 'centaurus', 'cluster', 'comparison', 'with', 'halphaline', 'and', 'soft', 'xray', 'emission', 'reveals', 'a', 'correspondence', 'between', 'the', 'lineemitting', 'gas', 'the', 'soft', 'xray', 'emitting', 'gas', 'regions', 'with', 'an', 'excess', 'in', 'the', 'rm', 'images', 'and', 'signs', 'of', 'depolarization', 'magnetic', 'field', 'strengths', 'of', '25', 'microg', 'organized', 'on', 'scales', 'of', '1', 'kpc', 'and', 'intermixed', 'with', 'gas', 'at', 'a', 'temperature', 'of', '5', 'x', '106', 'k', 'with', 'a', 'density', 'of', '01', 'cm3', 'can', 'reproduce', 'the', 'observed', 'rm', 'excess', 'the', 'depolarization', 'and', 'the', 'observed', 'xray', 'surface', 'brightness', 'this', 'hot', 'gas', 'may', 'be', 'in', 'pressure', 'equilibrium', 'with', 'the', 'optical', 'lineemitting', 'gas', 'but', 'the', 'magnetic', 'field', 'strength', 'of', '25', 'microg', 'associated', 'with', 'the', 'hot', 'gas', 'provides', 'only', '10', 'of', 'the', 'thermal', 'pressure', 'and', 'is', 'therefore', 'insufficient', 'to', 'account', 'for', 'the', 'stability', 'of', 'the', 'lineemitting', 'filaments']] | [-0.0926692968948969, 0.15298420150758266, -0.031640497752433196, 0.051620832885262265, -0.015592852684444394, -0.04478185652145024, 0.02504009449501233, 0.4551753936142757, -0.20114868311211467, -0.3722621839493513, 0.0512222900231979, -0.2797567184693341, 0.054681855973392195, 0.1576562573298298, 0.03323528143609392, -0.05443808604674093, -0.05613704807414063, -0.03943377947434783, -0.04829226122558888, -0.18896478851133122, 0.26241868346415714, 0.08254307527737371, 0.21235659428840054, 0.0798469133932015, 0.1004982914101204, -0.10929874627296973, -0.005713145341724157, 0.018835338665943207, -0.1317373869009316, 0.07983033149021453, 0.20528606421731668, 0.039104997662120854, 0.18308870169045083, -0.38008424060354973, -0.23040904282624353, 0.04480263671259685, 0.15488198835659645, -0.016925551527147663, -0.050931267251645956, -0.268112762307684, 0.04885843412966692, -0.149822392423862, -0.18455297809479565, 0.07120807463752812, 0.051830574526483646, 0.010761416533255371, -0.2253836405290901, 0.19332382229903455, -0.0007879754343744496, 0.12695221595731082, -0.14478583575932888, -0.05993353017075951, -0.06740272058623618, 0.029071977268904446, 0.016011315946274533, 0.11467286166734994, 0.26980566555023966, -0.14087062583883003, -0.004012907501952401, 0.39197652632820196, -0.08129589359661371, 0.028489614213848935, 0.24240260225367444, -0.2762694161064152, -0.14617342635475356, 0.25894759892132774, 0.11551034065537508, 0.04540570284528979, -0.08277798414527407, 0.015059898194359166, -0.06828972147215671, 0.23042218699762276, 0.053263480113498095, 0.06333808118712302, 0.3168421188754768, 0.11014125131247245, 0.030498216437689702, 0.13699013935642895, -0.30599023093638045, 0.034533538181206275, -0.24417635580396344, -0.09760788769686017, -0.11036161991671242, 0.09409604478498985, -0.15452440338929843, -0.10771939596883824, 0.31349343099342336, 0.10555820051371922, 0.24883839356359735, -0.0025327276093243013, 0.3232881428352718, 0.08601841566249215, 0.08390999125910859, 0.1392972198455466, 0.27657027385229693, 0.25316335534484224, 0.08620972530916333, -0.26829760911922645, 0.0279252504865671, -0.05086419564382783] |
708.3265 | Ground and excited-state fermions in a 1D double-well, exact and
time-dependent density-functional solutions | Two of the most popular quantum mechanical models of interacting fermions are
compared to each other and to potentially exact solutions for a pair of
contact-interacting fermions trapped in a 1D double-well potential, a model of
atoms in a quasi-1D optical lattice or electrons of a Hydrogen molecule in a
strong magnetic field. An exact few-body Hamiltonian is solved numerically in
momentum space yielding a highly-correlated eigenspectrum. Additionally,
approximate ground-state energies are obtained using both density functional
theory (DFT) functional and 2-site Hubbard models. A 1D adiabatic LDA kernel is
constructed for use in time-dependent density functional theory (TDDFT), and
the resulting excited-state spectrum is compared to the exact and Hubbard
results. DFT is shown to give accurate results for wells with small separations
but fails to describe localization of opposite spin fermions to different
sites. A locally cognizant (LC) density functional based on an effective local
fermion number would provide a solution to this problem, and an approximate
treatment presented here compares favorably with the exact and Hubbard results.
The TDDFT excited-state spectrum is accurate in the small parameter regime with
non-adiabatic effects accounting for any deviations. As expected, the
ground-state Hubbard model outperforms DFT at large separations but breaks down
at intermediate separations due to improper scaling to the united-atom limit.
At strong coupling, both Hubbard and TDDFT methods fail to capture the
appropriate energetics.
| cond-mat.other cond-mat.mtrl-sci | two of the most popular quantum mechanical models of interacting fermions are compared to each other and to potentially exact solutions for a pair of contactinteracting fermions trapped in a 1d doublewell potential a model of atoms in a quasi1d optical lattice or electrons of a hydrogen molecule in a strong magnetic field an exact fewbody hamiltonian is solved numerically in momentum space yielding a highlycorrelated eigenspectrum additionally approximate groundstate energies are obtained using both density functional theory dft functional and 2site hubbard models a 1d adiabatic lda kernel is constructed for use in timedependent density functional theory tddft and the resulting excitedstate spectrum is compared to the exact and hubbard results dft is shown to give accurate results for wells with small separations but fails to describe localization of opposite spin fermions to different sites a locally cognizant lc density functional based on an effective local fermion number would provide a solution to this problem and an approximate treatment presented here compares favorably with the exact and hubbard results the tddft excitedstate spectrum is accurate in the small parameter regime with nonadiabatic effects accounting for any deviations as expected the groundstate hubbard model outperforms dft at large separations but breaks down at intermediate separations due to improper scaling to the unitedatom limit at strong coupling both hubbard and tddft methods fail to capture the appropriate energetics | [['two', 'of', 'the', 'most', 'popular', 'quantum', 'mechanical', 'models', 'of', 'interacting', 'fermions', 'are', 'compared', 'to', 'each', 'other', 'and', 'to', 'potentially', 'exact', 'solutions', 'for', 'a', 'pair', 'of', 'contactinteracting', 'fermions', 'trapped', 'in', 'a', '1d', 'doublewell', 'potential', 'a', 'model', 'of', 'atoms', 'in', 'a', 'quasi1d', 'optical', 'lattice', 'or', 'electrons', 'of', 'a', 'hydrogen', 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708.3266 | Convergence of freely decomposable Kleinian groups | We consider a compact orientable hyperbolic 3-manifold with a compressible
boundary. Suppose that we are given a sequence of geometrically finite
hyperbolic metrics whose conformal boundary structures at infinity diverge to a
projective lamination. We prove that if this limit projective lamination is
doubly incompressible, then the sequence has compact closure in the deformation
space. As a consequence we generalise Thurston's double limit theorem and solve
his conjecture on convergence of function groups affirmatively.
| math.GT | we consider a compact orientable hyperbolic 3manifold with a compressible boundary suppose that we are given a sequence of geometrically finite hyperbolic metrics whose conformal boundary structures at infinity diverge to a projective lamination we prove that if this limit projective lamination is doubly incompressible then the sequence has compact closure in the deformation space as a consequence we generalise thurstons double limit theorem and solve his conjecture on convergence of function groups affirmatively | [['we', 'consider', 'a', 'compact', 'orientable', 'hyperbolic', '3manifold', 'with', 'a', 'compressible', 'boundary', 'suppose', 'that', 'we', 'are', 'given', 'a', 'sequence', 'of', 'geometrically', 'finite', 'hyperbolic', 'metrics', 'whose', 'conformal', 'boundary', 'structures', 'at', 'infinity', 'diverge', 'to', 'a', 'projective', 'lamination', 'we', 'prove', 'that', 'if', 'this', 'limit', 'projective', 'lamination', 'is', 'doubly', 'incompressible', 'then', 'the', 'sequence', 'has', 'compact', 'closure', 'in', 'the', 'deformation', 'space', 'as', 'a', 'consequence', 'we', 'generalise', 'thurstons', 'double', 'limit', 'theorem', 'and', 'solve', 'his', 'conjecture', 'on', 'convergence', 'of', 'function', 'groups', 'affirmatively']] | [-0.20382705642652973, 0.13564542118409598, -0.14898289826295869, 0.07119615646739919, -0.11762571482088517, -0.16959125992237917, -0.014949430851580424, 0.3346820951162561, -0.31873280899850903, -0.14094326165630608, 0.13770767739766301, -0.27365151854118686, -0.14012846855346012, 0.1729847384566391, -0.1844868732087717, 0.04164931341389043, 0.10706326278002076, 0.06767137617980307, -0.1015284848965805, -0.26973527141632764, 0.4471842171372594, -0.09684828549900369, 0.2113037217106368, 0.06821438426000846, 0.16606466608464945, -0.02768588704812164, 0.04636718179225116, 0.05750065255946341, -0.21713619223088687, 0.05725629782505535, 0.3098441135843058, 0.01889549846748343, 0.21456223373250985, -0.37513125171834555, -0.21101649055521735, 0.19044325318237817, 0.16251967914679363, 0.017371862673678913, -0.033406281862659634, -0.2697768602268519, 0.1299926434750543, -0.09757622035308364, -0.235177996316673, -0.0358198177623185, 0.0346094965494263, -0.021122208041315142, -0.16803353289897377, -0.010969649490623458, 0.14572702587355632, 0.07658484033183069, -0.07173453702440334, -0.008194549349010797, -0.04723640406076368, 0.09496813985468769, 0.032362371294545264, 0.09471912929989598, 0.0787484062004935, -0.00018547195862550793, -0.08661719779735683, 0.3251691209655759, -0.10088906552944635, -0.34982183677572254, 0.14307104945308655, -0.2032705410603887, -0.21048982193020196, 0.16448809548809723, 0.13193604161308423, 0.19436453833446107, -0.003951391482071296, 0.20891727485640504, -0.18401293136569596, 0.07430843912014687, 0.1432476591985874, -0.07615167597258413, 0.16710835541095082, 0.14991518907953758, 0.1658446174870069, 0.17610675146853602, 0.0016175598390652118, -0.019755582853748992, -0.38540000438287453, -0.23243988773823288, -0.15081615702916137, 0.2130777300083758, -0.12729771568017503, -0.2651612737414276, 0.28207598000487966, -0.022120426960542762, 0.17300171417662422, 0.2080621807186076, 0.22379187811669465, 0.07029815008108681, -0.00852396509946777, 0.1399487064761185, 0.13255817201491948, 0.23712082946282886, -0.03423575792191047, -0.12902407476370148, -0.05663333090676649, 0.27118058744314555] |
708.3267 | The Friedel-Anderson and Kondo Impurity Problem for Arbitrary s-Band
Density of States and Exchange Interaction | In his renormalization paper of the Kondo effect Wilson replaced the full
band of s-electrons by a small number of ''Wilson states''. He started from a
rather artificial symmetric band with constant density of states and constant
interaction with the impurity. It is shown in the present paper that with a
minor modification the Wilson states are optimally suited to treat the
interaction of an impurity with an arbitrary s-band. Each Wilson state
represents electrons of a whole energy range. It carries the interaction of all
these electrons with the impurity. All the other electron states in this energy
range have zero interaction with the impurity and are neglected in the
calculation. The resulting error is minor. As an example the singlet-triplet
excitation energy of a Kondo impurity is numerically calculated for a
tight-binding band with a strongly energy dependent density of states.
| cond-mat.str-el | in his renormalization paper of the kondo effect wilson replaced the full band of selectrons by a small number of wilson states he started from a rather artificial symmetric band with constant density of states and constant interaction with the impurity it is shown in the present paper that with a minor modification the wilson states are optimally suited to treat the interaction of an impurity with an arbitrary sband each wilson state represents electrons of a whole energy range it carries the interaction of all these electrons with the impurity all the other electron states in this energy range have zero interaction with the impurity and are neglected in the calculation the resulting error is minor as an example the singlettriplet excitation energy of a kondo impurity is numerically calculated for a tightbinding band with a strongly energy dependent density of states | [['in', 'his', 'renormalization', 'paper', 'of', 'the', 'kondo', 'effect', 'wilson', 'replaced', 'the', 'full', 'band', 'of', 'selectrons', 'by', 'a', 'small', 'number', 'of', 'wilson', 'states', 'he', 'started', 'from', 'a', 'rather', 'artificial', 'symmetric', 'band', 'with', 'constant', 'density', 'of', 'states', 'and', 'constant', 'interaction', 'with', 'the', 'impurity', 'it', 'is', 'shown', 'in', 'the', 'present', 'paper', 'that', 'with', 'a', 'minor', 'modification', 'the', 'wilson', 'states', 'are', 'optimally', 'suited', 'to', 'treat', 'the', 'interaction', 'of', 'an', 'impurity', 'with', 'an', 'arbitrary', 'sband', 'each', 'wilson', 'state', 'represents', 'electrons', 'of', 'a', 'whole', 'energy', 'range', 'it', 'carries', 'the', 'interaction', 'of', 'all', 'these', 'electrons', 'with', 'the', 'impurity', 'all', 'the', 'other', 'electron', 'states', 'in', 'this', 'energy', 'range', 'have', 'zero', 'interaction', 'with', 'the', 'impurity', 'and', 'are', 'neglected', 'in', 'the', 'calculation', 'the', 'resulting', 'error', 'is', 'minor', 'as', 'an', 'example', 'the', 'singlettriplet', 'excitation', 'energy', 'of', 'a', 'kondo', 'impurity', 'is', 'numerically', 'calculated', 'for', 'a', 'tightbinding', 'band', 'with', 'a', 'strongly', 'energy', 'dependent', 'density', 'of', 'states']] | [-0.15240909874201525, 0.2198691200915768, -0.03572502801474835, 0.06117395134772975, 0.012866784649139101, -0.160653418096082, 0.04830164610655731, 0.3622715703368031, -0.22589439615424906, -0.3193650826017235, 0.01069637506360097, -0.3204763161272488, -0.05868394117659101, 0.11909648989672428, 0.04726834267612312, 0.01123008314663401, 0.055858553869167826, 0.0350419053338937, -0.07688684951533543, -0.20673087583138391, 0.343974787728874, 0.08063520554296828, 0.21929571802981876, 0.1314757609987384, 0.022795490236705417, 0.06957019589372448, 0.061265000896007345, 0.0188464372210413, -0.07012421009481853, 0.091119982233398, 0.23657612374436657, -0.05786540980574551, 0.2539041515022933, -0.41555732038601506, -0.2000314849266014, 0.03204982994951412, 0.13281986378035607, 0.16077889222000447, -0.054452829193193594, -0.269642399343942, -0.029104188833161015, -0.1982231899653073, -0.1449639678450783, -0.03719789116688958, 0.016092158502319476, -0.010671279143616949, -0.264907906268287, 0.0725321250648557, -0.006051295389701332, 0.0327253481959338, -0.06344057640086834, -0.13179231362117755, -0.06743338411361292, 0.09182025419859137, 0.04858933443405464, 0.04931074158138745, 0.12765627554446862, -0.11109395166435702, -0.08566710248856538, 0.39513569773936813, -0.09490688323609896, -0.17270327449313827, 0.14460254171997525, -0.1476569386700598, -0.0653030497064306, 0.16166802049981646, 0.08086875994312023, 0.09511552452780567, -0.12709866026481548, 0.1403061669031679, -0.06531269505287852, 0.1562146241687095, 0.00873608225500667, 0.04625323550918928, 0.21603491719343237, 0.13463428699072788, 0.07959415408183489, 0.11903206301385771, -0.1262545453912051, -0.08645866034956246, -0.281335200912521, -0.14342488691095145, -0.24749933598706356, 0.0646886145696044, -0.056050958528494385, -0.21852970030871088, 0.4537913863762067, 0.10411987623518945, 0.21719773560501895, -0.012860848268793596, 0.23226365488725942, 0.17620678896563113, 0.0586999548905223, 0.09947607114298881, 0.23339128121733665, 0.14494327509977653, 0.08284121151391573, -0.3047797532208342, 0.005263189508390801, 0.027335615242486233] |
708.3268 | Ac-cotunneling through an interacting quantum dot under a magnetic field | We analyze inelastic cotunneling through an interacting quantum dot subject
to an ambient magnetic field in the weak tunneling regime under a non-adiabatic
time-dependent bias-voltage. Our results clearly exhibit photon-assisted
satellites and an overall suppression of differential conductance with
increasing driving amplitude, which is consistent with experiments. We also
predict a zero-anomaly in differential conductance under an appropriate driving
frequency.
| cond-mat.mes-hall | we analyze inelastic cotunneling through an interacting quantum dot subject to an ambient magnetic field in the weak tunneling regime under a nonadiabatic timedependent biasvoltage our results clearly exhibit photonassisted satellites and an overall suppression of differential conductance with increasing driving amplitude which is consistent with experiments we also predict a zeroanomaly in differential conductance under an appropriate driving frequency | [['we', 'analyze', 'inelastic', 'cotunneling', 'through', 'an', 'interacting', 'quantum', 'dot', 'subject', 'to', 'an', 'ambient', 'magnetic', 'field', 'in', 'the', 'weak', 'tunneling', 'regime', 'under', 'a', 'nonadiabatic', 'timedependent', 'biasvoltage', 'our', 'results', 'clearly', 'exhibit', 'photonassisted', 'satellites', 'and', 'an', 'overall', 'suppression', 'of', 'differential', 'conductance', 'with', 'increasing', 'driving', 'amplitude', 'which', 'is', 'consistent', 'with', 'experiments', 'we', 'also', 'predict', 'a', 'zeroanomaly', 'in', 'differential', 'conductance', 'under', 'an', 'appropriate', 'driving', 'frequency']] | [-0.2303741852579228, 0.17986875318357784, -0.07649442643495434, 0.032088530662280144, 0.003603159860407902, -0.15089770889509532, 0.04856503460856186, 0.3948398267660858, -0.27351592550590886, -0.26009566076415574, -0.06661344749332106, -0.2854244594099158, -0.1834112506643948, 0.2816840708650396, -0.040458974286408746, 0.010109164349545362, 0.04036275335287644, 0.012405624076471491, -0.02386860555763972, -0.20143030238164178, 0.31480436431149306, 0.07420021541598174, 0.2970679693429147, 0.0663299938659894, 0.0666653811063428, 0.03776570091466025, 0.07304424457094175, 0.05502774616924383, -0.14113301037952808, -0.03650140459254637, 0.23342074013425637, -0.1225426941162954, 0.21875998483560347, -0.49336466777248905, -0.15666240038571216, 0.01971747843011961, 0.14304781775779518, 0.14879566179864676, -0.08063760174091085, -0.32807939250211593, -0.00886518947022446, -0.14650688048894123, -0.09745878945657258, -0.11523759923875332, 0.002200569525376846, 0.013247604260884099, -0.33223867037538757, 0.10768170680769845, 0.02387678050988559, 0.0895628116835477, -0.08901106829013107, 0.02432742635758941, 0.004680216537346527, 0.045492028951708036, 0.038306374075206914, 0.023847966083972636, 0.22027878841322104, -0.16477761351329795, -0.13145449983303326, 0.2774369190052404, -0.16681805693433951, -0.1289617804715694, 0.17090607124333412, -0.18439110925705252, -0.08833010021155163, 0.173578085330457, 0.10791118315152698, 0.07132940240977806, -0.17655285355295608, 0.057430456138918395, 0.0038153041406708246, 0.18365107641271236, 0.040756274957872804, 0.06575437833878638, 0.2075414884898622, 0.18752602374149582, 0.08657159640501111, 0.13185419212884697, -0.1470138009606024, -0.1222043651456045, -0.2850718676917634, -0.09429372613460331, -0.11395458957590794, 0.1355659542131727, -0.052278674972959856, -0.16307768799459277, 0.3576600679149062, 0.19008132177641837, 0.23863093846998476, -0.019903950095255623, 0.3293428846587569, 0.2954361066715476, 0.016096281408632205, 0.02184561202776129, 0.23626868300518747, 0.2178712866379548, 0.1139104291402056, -0.3843459630250868, 0.02895402836502861, -0.1060554445484432] |
708.3269 | Resonant electromagnetic emission from intrinsic Josephson-junction
stacks with laterally modulated Josephson critical current | Intrinsic Josephson-junction stacks realized in mesas fabricated out of
high-temperature superconductors may be used as sources of coherent
electromagnetic radiation in the terahertz range. The major challenge is to
synchronize Josephson oscillations in all junctions in the stack to get
significant radiation out of the crystal edge parallel to the c axis. We
suggest a simple way to solve this problem via artificially prepared lateral
modulation of the Josephson critical current identical in all junctions. In
such a stack phase oscillations excite the in-phase Fiske mode when the
Josephson frequency matches the Fiske-resonance frequency which is set by the
stack lateral size. The powerful almost standing electromagnetic wave is
excited inside the crystal in the resonance. This wave is homogeneous across
the layers meaning that the oscillations are synchronized in all junctions in
the stack. We evaluate behavior of the I-V characteristics and radiated power
near the resonance for arbitrary modulation and find exact solutions for
several special cases corresponding to symmetric and asymmetric modulations of
the critical current.
| cond-mat.supr-con | intrinsic josephsonjunction stacks realized in mesas fabricated out of hightemperature superconductors may be used as sources of coherent electromagnetic radiation in the terahertz range the major challenge is to synchronize josephson oscillations in all junctions in the stack to get significant radiation out of the crystal edge parallel to the c axis we suggest a simple way to solve this problem via artificially prepared lateral modulation of the josephson critical current identical in all junctions in such a stack phase oscillations excite the inphase fiske mode when the josephson frequency matches the fiskeresonance frequency which is set by the stack lateral size the powerful almost standing electromagnetic wave is excited inside the crystal in the resonance this wave is homogeneous across the layers meaning that the oscillations are synchronized in all junctions in the stack we evaluate behavior of the iv characteristics and radiated power near the resonance for arbitrary modulation and find exact solutions for several special cases corresponding to symmetric and asymmetric modulations of the critical current | [['intrinsic', 'josephsonjunction', 'stacks', 'realized', 'in', 'mesas', 'fabricated', 'out', 'of', 'hightemperature', 'superconductors', 'may', 'be', 'used', 'as', 'sources', 'of', 'coherent', 'electromagnetic', 'radiation', 'in', 'the', 'terahertz', 'range', 'the', 'major', 'challenge', 'is', 'to', 'synchronize', 'josephson', 'oscillations', 'in', 'all', 'junctions', 'in', 'the', 'stack', 'to', 'get', 'significant', 'radiation', 'out', 'of', 'the', 'crystal', 'edge', 'parallel', 'to', 'the', 'c', 'axis', 'we', 'suggest', 'a', 'simple', 'way', 'to', 'solve', 'this', 'problem', 'via', 'artificially', 'prepared', 'lateral', 'modulation', 'of', 'the', 'josephson', 'critical', 'current', 'identical', 'in', 'all', 'junctions', 'in', 'such', 'a', 'stack', 'phase', 'oscillations', 'excite', 'the', 'inphase', 'fiske', 'mode', 'when', 'the', 'josephson', 'frequency', 'matches', 'the', 'fiskeresonance', 'frequency', 'which', 'is', 'set', 'by', 'the', 'stack', 'lateral', 'size', 'the', 'powerful', 'almost', 'standing', 'electromagnetic', 'wave', 'is', 'excited', 'inside', 'the', 'crystal', 'in', 'the', 'resonance', 'this', 'wave', 'is', 'homogeneous', 'across', 'the', 'layers', 'meaning', 'that', 'the', 'oscillations', 'are', 'synchronized', 'in', 'all', 'junctions', 'in', 'the', 'stack', 'we', 'evaluate', 'behavior', 'of', 'the', 'iv', 'characteristics', 'and', 'radiated', 'power', 'near', 'the', 'resonance', 'for', 'arbitrary', 'modulation', 'and', 'find', 'exact', 'solutions', 'for', 'several', 'special', 'cases', 'corresponding', 'to', 'symmetric', 'and', 'asymmetric', 'modulations', 'of', 'the', 'critical', 'current']] | [-0.23046106844031738, 0.15975235289148432, -0.0038486531425622247, 0.03317981228714676, -0.06624236007510695, -0.12837362636318653, 0.049713430467471925, 0.40079498202318237, -0.2657248459318431, -0.2668499852367122, 0.044980368800073244, -0.27133269348719513, -0.09887189207421172, 0.24190783107076727, 0.023240805153147363, 0.03220982052984515, -0.002988369705798548, -0.017648434545013254, -0.026505470385364743, -0.15199581244849555, 0.2951704556624117, 0.011964313874375961, 0.3667695225781894, 0.006795530723008726, 0.054404566056161584, -0.03541990579937452, 0.08197587983228177, -0.008140119302587274, -0.09253942387758365, 0.011033813404667723, 0.28414582718341125, -0.029352351600426204, 0.1806750517959396, -0.49433853419309126, -0.1935725759858975, 0.07594640650287536, 0.19860905763666128, 0.15223561991435763, -0.007916997774459776, -0.25249653361277613, 0.08390202289107644, -0.11881809796960581, -0.13758964809711047, -0.011940823316330179, 0.02953448127733455, 0.05513569205816436, -0.21619246749018894, 0.037636610363343995, 0.03829831529860496, 0.03158900720466461, -0.046119128328947614, -0.05479545325007556, -0.03135925573241409, 0.07782126609960133, 0.003580372880346009, 0.03611662567293804, 0.14458495703209856, -0.12246336367696217, -0.08853003210554432, 0.31669476251893985, -0.07410895273521116, -0.1504604785337246, 0.12850940991691978, -0.16875251154470744, -0.03026850718916172, 0.15372281828326995, 0.1330006185196994, 0.07843244938080066, -0.12267341097538606, 0.02959524430618677, -8.038309014019822e-05, 0.1729779214940555, 0.1402583149777326, 0.06435633123397738, 0.29127297352187315, 0.17046361822230255, 0.02770690948472336, 0.16795041326674567, -0.11605973102130174, -0.0385163688361423, -0.27140239625060486, -0.11963846250728238, -0.14918757368199986, 0.0601918777675088, -0.040857955578758265, -0.2256147027084288, 0.4445357210601547, 0.15717542287165998, 0.16668258346838966, -0.0485369058839015, 0.31082679100689437, 0.12798345716362833, 0.08755085050160276, 0.04056134974927686, 0.2820619941422982, 0.15032542896196469, 0.12272667951349701, -0.27723787890725016, 0.020000359922137466, -0.03872079848189883] |
708.327 | Green's matrices of second order elliptic systems with measurable
coefficients in two dimensional domains | We study Green's matrices for divergence form, second order strongly elliptic
systems with bounded measurable coefficients in two dimensional domains. We
establish existence, uniqueness, and pointwise estimates of the Green's
matrices.
| math.AP | we study greens matrices for divergence form second order strongly elliptic systems with bounded measurable coefficients in two dimensional domains we establish existence uniqueness and pointwise estimates of the greens matrices | [['we', 'study', 'greens', 'matrices', 'for', 'divergence', 'form', 'second', 'order', 'strongly', 'elliptic', 'systems', 'with', 'bounded', 'measurable', 'coefficients', 'in', 'two', 'dimensional', 'domains', 'we', 'establish', 'existence', 'uniqueness', 'and', 'pointwise', 'estimates', 'of', 'the', 'greens', 'matrices']] | [-0.21897758417312177, 0.06575110769500175, -0.035128149053742806, 0.08728973357187163, -0.07107626280236629, -0.0843157747219647, -0.05728069972246885, 0.3477975637501767, -0.2897483663813722, -0.12230279035265407, 0.16383462415392241, -0.34657909967485934, -0.1469749778869652, 0.18046559609713092, -0.007552999221990185, 0.14712027544456144, 0.059015110007397106, 0.015944492131952318, -0.2036696561582146, -0.22352203119906686, 0.442602559984211, -0.18135359976440668, 0.19748106202290905, 0.103467267021657, 0.09504298012583487, 0.04271099277802052, 6.907907945494498e-05, -0.0023049261841562485, -0.2160176976073173, 0.18232245376754191, 0.2950690292843407, -0.020279740193678487, 0.26717134442597235, -0.39446203338523067, -0.16676020204660394, 0.18470367969524476, 0.08377941247195966, -0.0016793842998243148, -0.055593911948944294, -0.25874471568292184, 0.06221633209216018, -0.10819463339453984, -0.23700124145515503, -0.15910281372376747, -0.05189852921232101, 0.08197528766017527, -0.37946223227247117, 0.19937907850309725, 0.11021578323937231, 0.05554695313255633, -0.14047813879686497, -0.12341278501515908, 0.03612108240204473, 0.08983333103899513, 0.02748496153001343, -0.03694740009133614, 0.03292650323841841, -0.07816691997375587, -0.10225887752077993, 0.23625766293656442, -0.12150581279063537, -0.3053120049017091, 0.18695493631305232, -0.28559657910297953, -0.10747096702576645, 0.04832915613247502, 0.2263607816590417, 0.18508908176614391, -0.21757103794164234, 0.1531427974808931, -0.08002087545971717, 0.17197686956534464, 0.1386989131419649, 0.04780191633730165, 0.060108712904395595, 0.01894794586264799, 0.17960181408711978, 0.1441399017048459, 0.07439661710973709, -0.11180717996772259, -0.3517417423427105, -0.16411257071811106, -0.20149119775141439, 0.10351130438427772, -0.134907689696129, -0.26082386740393215, 0.3776458527877807, 0.10362876031450147, 0.18315117716819287, 0.1360251496981589, 0.20155895375196012, 0.22681704055397742, -0.026400692911157684, 0.08307545418821034, 0.10654334399488664, 0.2751183733644505, 0.06240769214327297, -0.19060391308683453, 0.03983474489782126, 0.2786204605377392] |
708.3271 | Simulation of Spread and Control of Lesions in Brain | A simulation model for the spread and control of lesions in the brain is
constructed using a planar network (graph) representation for the Central
Nervous System (CNS). The model is inspired by the lesion structures observed
in the case of Multiple Sclerosis (MS), a chronic disease of the CNS. The
initial lesion site is at the center of a unit square and spreads outwards
based on the success rate in damaging edges (axons) of the network. The damaged
edges send out alarm signals which, at appropriate intensity levels, generate
programmed cell death. Depending on the extent and timing of the programmed
cell death, the lesion may get controlled or aggravated akin to the control of
wild fires by burning of peripheral vegetation. The parameter phase space of
the model shows smooth transition from uncontrolled situation to controlled
situation. The simulations show that the model is capable of generating a wide
variety of lesion growth and arrest scenarios.
| physics.bio-ph physics.comp-ph q-bio.NC | a simulation model for the spread and control of lesions in the brain is constructed using a planar network graph representation for the central nervous system cns the model is inspired by the lesion structures observed in the case of multiple sclerosis ms a chronic disease of the cns the initial lesion site is at the center of a unit square and spreads outwards based on the success rate in damaging edges axons of the network the damaged edges send out alarm signals which at appropriate intensity levels generate programmed cell death depending on the extent and timing of the programmed cell death the lesion may get controlled or aggravated akin to the control of wild fires by burning of peripheral vegetation the parameter phase space of the model shows smooth transition from uncontrolled situation to controlled situation the simulations show that the model is capable of generating a wide variety of lesion growth and arrest scenarios | [['a', 'simulation', 'model', 'for', 'the', 'spread', 'and', 'control', 'of', 'lesions', 'in', 'the', 'brain', 'is', 'constructed', 'using', 'a', 'planar', 'network', 'graph', 'representation', 'for', 'the', 'central', 'nervous', 'system', 'cns', 'the', 'model', 'is', 'inspired', 'by', 'the', 'lesion', 'structures', 'observed', 'in', 'the', 'case', 'of', 'multiple', 'sclerosis', 'ms', 'a', 'chronic', 'disease', 'of', 'the', 'cns', 'the', 'initial', 'lesion', 'site', 'is', 'at', 'the', 'center', 'of', 'a', 'unit', 'square', 'and', 'spreads', 'outwards', 'based', 'on', 'the', 'success', 'rate', 'in', 'damaging', 'edges', 'axons', 'of', 'the', 'network', 'the', 'damaged', 'edges', 'send', 'out', 'alarm', 'signals', 'which', 'at', 'appropriate', 'intensity', 'levels', 'generate', 'programmed', 'cell', 'death', 'depending', 'on', 'the', 'extent', 'and', 'timing', 'of', 'the', 'programmed', 'cell', 'death', 'the', 'lesion', 'may', 'get', 'controlled', 'or', 'aggravated', 'akin', 'to', 'the', 'control', 'of', 'wild', 'fires', 'by', 'burning', 'of', 'peripheral', 'vegetation', 'the', 'parameter', 'phase', 'space', 'of', 'the', 'model', 'shows', 'smooth', 'transition', 'from', 'uncontrolled', 'situation', 'to', 'controlled', 'situation', 'the', 'simulations', 'show', 'that', 'the', 'model', 'is', 'capable', 'of', 'generating', 'a', 'wide', 'variety', 'of', 'lesion', 'growth', 'and', 'arrest', 'scenarios']] | [-0.10002561413036411, 0.12152046137815638, -0.02565013143162771, 0.033460239770045135, 0.0028237392028473366, -0.14438429220644816, 0.07521088946919152, 0.3429805746696486, -0.24842433062393907, -0.2594894452412037, 0.1236930777753294, -0.26001601279446274, -0.18980573089407746, 0.16951318840780977, -0.13122139255972995, 0.021206754817372296, 0.11553811840119825, 0.08213339626617065, 0.05103934717447657, -0.22553151716410694, 0.29056168692245793, 0.03559265630972234, 0.3180103116627237, 0.015514505295984589, 0.11694178873506986, -0.01149145328546548, 0.0018762970583477787, -0.02605531254807742, -0.09250071023652592, 0.08525179240817002, 0.26602467247522227, 0.1411603442600863, 0.2980105693794633, -0.4685276051520542, -0.27005139983701815, 0.10583004146476223, 0.14560400390890754, 0.1046016937778717, -0.029717456330663885, -0.3081698092990881, 0.10394889259841411, -0.15539846807172533, -0.11905483042548416, 0.03788907159784227, 0.008501991555914076, 0.0326978839417789, -0.2858872650914891, 0.11562881611619785, 0.006517939791557895, 0.10338106474862879, -0.0659744384591794, -0.05275108003291853, -0.09415704841950943, 0.2049908603557866, -0.01709262658782588, 0.03971034749841116, 0.2358782087144246, -0.17993735559811153, -0.08387211480053366, 0.3340614778849824, 0.031709811835591295, -0.15807673127159097, 0.1693894282546173, -0.1709347393402272, -0.07111519206742382, 0.16885039988745026, 0.2014641252814964, 0.06986062826624342, -0.13489228288293076, -0.031411066658759285, 0.01624916322458132, 0.17496529591394364, 0.10989342164248228, -0.08206224315325214, 0.20003006028331768, 0.2535478599832221, 0.04954561531828467, 0.137424661510974, -0.1731067739299552, -0.08116067226258385, -0.237916145893407, -0.09717102841159721, -0.15085989523495127, 0.008830786803158913, -0.11569817461463427, -0.17181822424457902, 0.44366358996778255, 0.11791669720098685, 0.18516634991333172, 0.04081128085563018, 0.24782172654856258, 0.04617020666486566, 0.10238284380382794, 0.002528213551801861, 0.1513652566962751, 0.07675954484426013, 0.097168145158512, -0.2662939640643686, 0.14974268171254096, 0.03414271585939891] |
708.3272 | Search for Lepton Flavor Violating tau Decays into Three Leptons | We search for lepton-flavor-violating tau decays into three leptons (electron
or muon) using 535 fb^{-1} of data collected with the Belle detector at the
KEKB asymmetric-energy e+e- collider. No evidence for these decays is observed
and we set 90% confidence level upper limits on the branching fractions between
2.0x10^{-8} and 4.1x10^{-8}. These results improve the best previously
published upper limits by factors from 4.9 to 7.0.
| hep-ex | we search for leptonflavorviolating tau decays into three leptons electron or muon using 535 fb1 of data collected with the belle detector at the kekb asymmetricenergy ee collider no evidence for these decays is observed and we set 90 confidence level upper limits on the branching fractions between 20x108 and 41x108 these results improve the best previously published upper limits by factors from 49 to 70 | [['we', 'search', 'for', 'leptonflavorviolating', 'tau', 'decays', 'into', 'three', 'leptons', 'electron', 'or', 'muon', 'using', '535', 'fb1', 'of', 'data', 'collected', 'with', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'asymmetricenergy', 'ee', 'collider', 'no', 'evidence', 'for', 'these', 'decays', 'is', 'observed', 'and', 'we', 'set', '90', 'confidence', 'level', 'upper', 'limits', 'on', 'the', 'branching', 'fractions', 'between', '20x108', 'and', '41x108', 'these', 'results', 'improve', 'the', 'best', 'previously', 'published', 'upper', 'limits', 'by', 'factors', 'from', '49', 'to', '70']] | [-0.028693587065032316, 0.1802424832148421, -0.014751464184938055, 0.13125338040073542, -0.08335776678568711, -0.12051739820250959, 0.17308075930993777, 0.3054012315009128, -0.09484586729244752, -0.3657533036488475, 0.024596988230548573, -0.4754675548862327, 0.0901624496116049, 0.2437765895579518, 0.13475718987033222, 0.14452593502673236, 0.149086975090375, -0.04306726424362172, -0.01711502684647161, -0.2657282438524293, 0.16538352789498414, 0.09931690552427123, 0.25998269498461124, 0.09929802862108883, 0.05472137003071663, -0.05817553533636259, -0.06640237874605438, -0.10744618655492862, -0.15929541698036095, 0.04936322609534149, 0.23487423302140087, 0.19261445643408506, 0.08312346571774194, -0.3714776354926554, 0.06981291215880915, 0.19509162024284402, 0.1543970979433983, -0.02168307862611431, -0.02770893579828694, -0.422398794781078, 0.1583349609211313, -0.1946335607349421, -0.014161327105918617, 0.018989745576894194, 0.031745275909391545, -0.11372957027263263, -0.344621656504883, 0.06524029935738354, -0.06231886766512285, 0.11447375786233213, -0.07812482605434277, -0.31977854014346097, 0.01146136789766112, -0.04253528570177767, 0.0474443468512177, 0.023949726628030254, 0.19277603914396782, -0.0995839168317616, -0.2572957943334724, 0.26270819997245615, -0.11558308674725457, -0.1115396518549515, 0.24163104875972777, -0.30540077941435756, -0.14648306726082932, 0.22023068297880166, 0.2882945301208758, -0.037961789039951385, -0.26195388273194886, 0.12685704394772818, -0.03500261136584661, 0.1731271046975797, 0.1309100086236316, 0.0802874567576289, 0.17902162993524337, 0.21707198204416217, 0.04674229079462362, 0.06449513413209582, -0.1908615152316281, 0.031073761775835672, -0.3956161047504848, -0.09422163465007377, -0.0260509300878215, 0.08381635330927868, -0.012994524853032393, 0.002857825422490185, 0.33184951448559086, 0.08351561829278414, 0.34565218526757124, 0.05595290544795606, 0.29546611532427824, 0.11633526662802923, 0.03404623869617794, 0.09673974894857648, 0.33494183919956966, 0.08956139718506936, 0.08525879803170083, -0.2144687494693437, 0.03084429682966209, 0.01884678587543242] |
708.3273 | Path to finding the critical thickness for memory in thin ferroelectric
films | The finite screening length by real metallic electrodes, albeit very small
(<1A), results in finite depolarizing field that tends to split the film into
domains. In very thin ferroelectric films the domain structure reduces to
sinusoidal distribution of polarization considered first in the 1980s. We
discuss the phase transition between this structure and a single domain state
and show that it is first order, if it exists at all. The alternative
possibility is that the single domain state at zero bias voltage would be
metastable for all temperatures in most systems. This scenario defines a path
towards solution to a problem of finding parameters of a system that can
sustain the ferroelectric memory over a desired period of time.
| cond-mat.mtrl-sci cond-mat.stat-mech | the finite screening length by real metallic electrodes albeit very small 1a results in finite depolarizing field that tends to split the film into domains in very thin ferroelectric films the domain structure reduces to sinusoidal distribution of polarization considered first in the 1980s we discuss the phase transition between this structure and a single domain state and show that it is first order if it exists at all the alternative possibility is that the single domain state at zero bias voltage would be metastable for all temperatures in most systems this scenario defines a path towards solution to a problem of finding parameters of a system that can sustain the ferroelectric memory over a desired period of time | [['the', 'finite', 'screening', 'length', 'by', 'real', 'metallic', 'electrodes', 'albeit', 'very', 'small', '1a', 'results', 'in', 'finite', 'depolarizing', 'field', 'that', 'tends', 'to', 'split', 'the', 'film', 'into', 'domains', 'in', 'very', 'thin', 'ferroelectric', 'films', 'the', 'domain', 'structure', 'reduces', 'to', 'sinusoidal', 'distribution', 'of', 'polarization', 'considered', 'first', 'in', 'the', '1980s', 'we', 'discuss', 'the', 'phase', 'transition', 'between', 'this', 'structure', 'and', 'a', 'single', 'domain', 'state', 'and', 'show', 'that', 'it', 'is', 'first', 'order', 'if', 'it', 'exists', 'at', 'all', 'the', 'alternative', 'possibility', 'is', 'that', 'the', 'single', 'domain', 'state', 'at', 'zero', 'bias', 'voltage', 'would', 'be', 'metastable', 'for', 'all', 'temperatures', 'in', 'most', 'systems', 'this', 'scenario', 'defines', 'a', 'path', 'towards', 'solution', 'to', 'a', 'problem', 'of', 'finding', 'parameters', 'of', 'a', 'system', 'that', 'can', 'sustain', 'the', 'ferroelectric', 'memory', 'over', 'a', 'desired', 'period', 'of', 'time']] | [-0.16915186638200358, 0.16344990355487005, -0.08356037863506739, -0.0043332209935834426, -0.06784819210331668, -0.13920686795853643, 0.07939153674504712, 0.4136341839027004, -0.3045309064567418, -0.2511569130226594, 0.08059946962773111, -0.2397109601458832, -0.09479063598266921, 0.18627009614362938, -0.01131871040121316, -0.011658566500274992, 0.030040129314826317, 0.0019651684873862613, -0.06908431243172948, -0.21596939126107872, 0.2925259114473964, -0.011322357003115305, 0.30177419353667806, 0.05378810929118836, 0.08152444024390283, -0.04857198096199857, 0.12139814680695589, 0.04382014406860626, -0.09626322863315341, 0.002057035476118013, 0.26891272255227344, 0.0272838643345074, 0.2642600588508326, -0.4212684567329012, -0.2139227540396592, 0.09691022513551685, 0.1268462106495501, 0.1585119450151795, -0.049399976558912886, -0.2218079300628615, 0.13724127038922004, -0.14289140831209532, -0.12862216971204185, -0.04281183531773942, 0.06050496611219807, -0.03838798063298484, -0.2514556725661098, 0.05161705620962532, 0.06920844441213246, 0.004801821292323225, -0.09016255222988792, -0.10057423031642376, -0.014863632259373906, 0.11804587735638938, 0.03608596528011585, 0.08090712126743581, 0.09640965138428978, -0.12372649364963863, -0.08516756875612655, 0.34564033683639867, -0.07807118027909275, -0.15637101603577994, 0.16760550481619454, -0.20694822247116632, -0.058955439319442804, 0.16660732186121568, 0.12543065357217645, 0.11723542168830373, -0.136144500661117, 0.08637271231302537, 0.0025155519784874274, 0.23365006531968305, 0.08180845132833268, 0.01519928700408014, 0.22980529434389305, 0.21233784786167265, 0.10151096849561426, 0.17915303955009176, -0.08051443907643567, -0.08165186780950978, -0.29905450232953085, -0.15899494738012804, -0.20846038203913436, 0.043358975864884235, -0.08260293884428821, -0.20082631622668073, 0.4010852505805112, 0.1288398058611524, 0.19364970031061343, 0.01379863784585868, 0.27707023930270225, 0.09542622750609361, 0.07506308698708274, 0.03188076687334966, 0.2112764697815409, 0.10765439771925796, 0.12390312090813976, -0.23899525107166283, 0.10486361547960203, -0.010601390802747562] |
708.3274 | Analytic Constructions of General n-Qubit Controlled Gates | In this Letter, we present two analytic expressions that most generally
simulate $n$-qubit controlled-$U$ gates with standard one-qubit gates and CNOT
gates using exponential and polynomial complexity respectively. Explicit
circuits and general expressions of decomposition are derived. The exact
numbers of basic operations in these two schemes are given using gate counting
technique.
| quant-ph | in this letter we present two analytic expressions that most generally simulate nqubit controlledu gates with standard onequbit gates and cnot gates using exponential and polynomial complexity respectively explicit circuits and general expressions of decomposition are derived the exact numbers of basic operations in these two schemes are given using gate counting technique | [['in', 'this', 'letter', 'we', 'present', 'two', 'analytic', 'expressions', 'that', 'most', 'generally', 'simulate', 'nqubit', 'controlledu', 'gates', 'with', 'standard', 'onequbit', 'gates', 'and', 'cnot', 'gates', 'using', 'exponential', 'and', 'polynomial', 'complexity', 'respectively', 'explicit', 'circuits', 'and', 'general', 'expressions', 'of', 'decomposition', 'are', 'derived', 'the', 'exact', 'numbers', 'of', 'basic', 'operations', 'in', 'these', 'two', 'schemes', 'are', 'given', 'using', 'gate', 'counting', 'technique']] | [-0.1753118653201832, 0.12524990345579837, -0.020524810823910642, 0.06560668690824213, 0.04788110566870222, -0.2803843397787719, 0.09578748741011434, 0.42105153350616403, -0.19099928873793204, -0.31757954159259516, 0.07673505271723459, -0.16831795990748225, -0.19982703822172898, 0.3183767388592351, -0.06126656182953771, 0.1513628963807176, 0.022081254941920907, -0.04690956514117853, -0.1450106844016052, -0.31274843978572564, 0.232652064518265, -0.06479315549346074, 0.23086365920333368, -0.051201970263753296, 0.097961760653218, -0.03424250519887175, -0.014486163081425541, -0.05544011068161366, -0.12037649696743893, 0.14141671053784075, 0.28982913321024684, 0.16193919325739425, 0.12866900211094684, -0.5229760886363264, -0.05666071626375306, 0.079626419599045, 0.13858637333197413, 0.21469859998697363, -0.038431413243261145, -0.2265721053798806, 0.07049273952560604, -0.20029973565548095, -0.012126739145660738, -0.15728405738284565, 0.047764927346505365, 0.042558126582078776, -0.27450682398564413, 0.029217744171443693, 0.06964824619298836, 0.08109542838943559, 0.0371723354504145, -0.10671276372268726, 0.08558604415541268, 0.09734137741110797, -0.16166108115664068, -0.039772356992130574, 0.1462681874861273, -0.0583876301402683, -0.23907226963706737, 0.2870153010787688, -0.003952034661230052, -0.2506963648956339, 0.11899973966515148, -0.12052757181402929, -0.12366399264736276, 0.04069828137509384, 0.09441536404895333, 0.11827375667767143, -0.17257752991720754, 0.137837438761775, -0.011569119322131265, 0.17898307094034158, 0.13757462727503394, 0.10895497772407736, 0.05857063568074186, 0.01720909728396262, 0.029819044469029835, 0.2134065657572926, -0.004898503580886238, -0.14011197737505976, -0.3766805537326156, -0.16609976088127368, -0.19869496444907953, 0.057331826902469095, -0.0943325794126755, -0.15479234335416892, 0.41726267984453236, 0.10327717660100393, 0.10992622807762532, 0.13257063814561884, 0.37977765006768816, 0.1816238251971608, 0.0578457033437378, 0.0976087320578133, 0.10816436232823246, 0.22738833837914016, -0.07069035240818027, -0.20215600463649575, 0.03696580330472229, 0.11916062416825092] |
708.3275 | XMM observation of 1RXS J180431.1-273932: a new M-type X-ray binary with
a 494 s-pulse period neutron star? | Low-mass X-ray binaries are binary systems composed of a compact object and a
low-mass star. Recently, a new class of these systems, known as symbiotic
$X$-ray binaries (with a neutron star with a M-type giant companion), has been
discovered. Here, we present long-duration ${\it XMM}$ observations of the
source 1RXS J180431.1-273932. Temporal and spectral analysis of the source was
performed along with a search for an optical counterpart. We used a
Lomb-Scargle periodogram analysis for the period search and evaluated the
confidence level using Monte-Carlo simulations. The source is characterized by
regular pulses so that it is most likely a neutron star. A modulation of
$494.1\pm0.2$ s (3$\sigma$ error) was found with a confidence level of $>$99%.
Evidence of variability is also present, since the data show a rate of change
in the signal of $\sim -7.7\times 10^{-4}$ counts s$^{-1}$ hr$^{-1}$. A longer
observation will be necessary in order to determine if the source shows any
periodic behavior. The spectrum can be described by a power law with photon
index $\Gamma\sim 1$ and a Gaussian line at 6.6 keV. The X-ray flux in the
0.2--10 keV energy band is $5.4\times 10^{-12}$ erg s$^{-1}$ cm$^{-2}$. The
identification of an optical counterpart (possibly an M6III red-giant star with
an apparent visual magnitude of $\simeq 17.6$) allows a conservative distance
of $\sim 10$ kpc to be estimated. Other possibilities are also discussed. Once
the distance was estimated, we got an $X$-ray luminosity of $L_X\ut<6\times
10^{34}$ erg s$^{-1}$, which is consistent with the typical $X$-ray luminosity
of a symbiotic LMXB system.
| astro-ph | lowmass xray binaries are binary systems composed of a compact object and a lowmass star recently a new class of these systems known as symbiotic xray binaries with a neutron star with a mtype giant companion has been discovered here we present longduration it xmm observations of the source 1rxs j1804311273932 temporal and spectral analysis of the source was performed along with a search for an optical counterpart we used a lombscargle periodogram analysis for the period search and evaluated the confidence level using montecarlo simulations the source is characterized by regular pulses so that it is most likely a neutron star a modulation of 4941pm02 s 3sigma error was found with a confidence level of 99 evidence of variability is also present since the data show a rate of change in the signal of sim 77times 104 counts s1 hr1 a longer observation will be necessary in order to determine if the source shows any periodic behavior the spectrum can be described by a power law with photon index gammasim 1 and a gaussian line at 66 kev the xray flux in the 0210 kev energy band is 54times 1012 erg s1 cm2 the identification of an optical counterpart possibly an m6iii redgiant star with an apparent visual magnitude of simeq 176 allows a conservative distance of sim 10 kpc to be estimated other possibilities are also discussed once the distance was estimated we got an xray luminosity of l_xut6times 1034 erg s1 which is consistent with the typical xray luminosity of a symbiotic lmxb system | [['lowmass', 'xray', 'binaries', 'are', 'binary', 'systems', 'composed', 'of', 'a', 'compact', 'object', 'and', 'a', 'lowmass', 'star', 'recently', 'a', 'new', 'class', 'of', 'these', 'systems', 'known', 'as', 'symbiotic', 'xray', 'binaries', 'with', 'a', 'neutron', 'star', 'with', 'a', 'mtype', 'giant', 'companion', 'has', 'been', 'discovered', 'here', 'we', 'present', 'longduration', 'it', 'xmm', 'observations', 'of', 'the', 'source', '1rxs', 'j1804311273932', 'temporal', 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708.3276 | Search for lepton flavor violating $\tau \to \ell V^0$ decays at Belle | We have searched for neutrinoless $\tau$ lepton decays into $\ell$ and $V^0$,
where $\ell$ stands for an electron or muon, and $V^0$ for a vector meson
($\phi$, $\omega$, $K^{*0}$ or $\bar{K}^{*0}$), using 543 fb$^{-1}$ of data
collected with the Belle detector at the KEKB asymmetric-energy $e^+e^-$
collider. No excess of signal events over the expected background is observed,
and we set upper limits on the branching fractions in the range $(0.7 - 1.8)
\times 10^{-7}$ at the 90% confidence level. These upper limits include the
first results for $\ell \omega$ as well as new limits that are $3.6 - 9.6$
times more restrictive than our previous results for $\ell \phi$, $\ell K^{*0}$
and $\ell \bar{K}^{*0}$.
| hep-ex | we have searched for neutrinoless tau lepton decays into ell and v0 where ell stands for an electron or muon and v0 for a vector meson phi omega k0 or bark0 using 543 fb1 of data collected with the belle detector at the kekb asymmetricenergy ee collider no excess of signal events over the expected background is observed and we set upper limits on the branching fractions in the range 07 18 times 107 at the 90 confidence level these upper limits include the first results for ell omega as well as new limits that are 36 96 times more restrictive than our previous results for ell phi ell k0 and ell bark0 | [['we', 'have', 'searched', 'for', 'neutrinoless', 'tau', 'lepton', 'decays', 'into', 'ell', 'and', 'v0', 'where', 'ell', 'stands', 'for', 'an', 'electron', 'or', 'muon', 'and', 'v0', 'for', 'a', 'vector', 'meson', 'phi', 'omega', 'k0', 'or', 'bark0', 'using', '543', 'fb1', 'of', 'data', 'collected', 'with', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'asymmetricenergy', 'ee', 'collider', 'no', 'excess', 'of', 'signal', 'events', 'over', 'the', 'expected', 'background', 'is', 'observed', 'and', 'we', 'set', 'upper', 'limits', 'on', 'the', 'branching', 'fractions', 'in', 'the', 'range', '07', '18', 'times', '107', 'at', 'the', '90', 'confidence', 'level', 'these', 'upper', 'limits', 'include', 'the', 'first', 'results', 'for', 'ell', 'omega', 'as', 'well', 'as', 'new', 'limits', 'that', 'are', '36', '96', 'times', 'more', 'restrictive', 'than', 'our', 'previous', 'results', 'for', 'ell', 'phi', 'ell', 'k0', 'and', 'ell', 'bark0']] | [-0.10330996667065831, 0.2020533817205465, -0.0018567763046419198, 0.09893085424421537, -0.035115426047746326, -0.15061564635139255, 0.10990581990413335, 0.2886070992088819, -0.1355032994683865, -0.3002792823795987, 0.02412966298314421, -0.4269978724403587, 0.08281495688334767, 0.22357027070695715, 0.1297988012243491, 0.10757077088068544, 0.10073307425245247, 0.06455679899658513, -0.01205643477223286, -0.19884902931156412, 0.1616381942459374, 0.045389065735322316, 0.18813027853179162, 0.06389733176241603, 0.0354690998349652, -0.03959594380555559, -0.037463053582912, -0.11044836406950402, -0.20203109131952124, -0.005576087028999706, 0.25293407326077927, 0.16585551163972875, 0.1183474958767142, -0.33718172272057395, 0.0025296625166109444, 0.22876975293872895, 0.17315835736494148, -0.026301894839688214, 0.016530944814723173, -0.37856350755071744, 0.21188569312865754, -0.14748594842323687, -0.027664894975754802, -0.007704642364359667, 0.13104302483915756, -0.11350322039220977, -0.38720080654540684, 0.10779216081579834, 0.0012489333800328648, 0.09959279328318874, -0.02365875751835055, -0.3276070636177881, 0.009222030258465526, -0.04479630174428488, 0.05481901481145977, 0.1335927686703997, 0.18180932703765884, -0.11584614170303123, -0.1915542566736715, 0.3542373807424993, -0.13348154338263182, -0.1513125293319468, 0.15713465368309248, -0.2979356006521369, -0.15366940745111324, 0.20867065360060835, 0.24879445256747768, 0.061816901248772586, -0.1571771115377809, 0.16460255200488377, -0.032582761048116776, 0.1675884174265429, 0.14067213245527407, 0.10024094857601037, 0.17147396917380722, 0.17011142189334255, 0.08169589849885356, 0.0229255331029077, -0.18609893036618894, 0.05726442071485572, -0.4232997702778754, -0.11211831653408244, -0.03621300199456447, 0.1285734215166123, -0.04708556022723741, 0.009388907037807249, 0.31077691447813954, 0.053401009047783055, 0.34765642651447415, 0.09196829964176018, 0.28034546506484, 0.12493953566013864, 0.01020445021006394, 0.07671416946725437, 0.2588974788776739, 0.11669460603291482, 0.10570586287206352, -0.20706814785067618, -0.017944471358395782, -0.037945537889722436] |
708.3277 | Hadron-quark mixed phase in hyperon stars | We analyze the different possibilities for the hadron-quark phase transition
occurring in beta-stable matter including hyperons in neutron stars. We use a
Brueckner-Hartree-Fock approach including hyperons for the hadronic equation of
state and a generalized MIT bag model for the quark part. We then point out in
detail the differences between Maxwell and Gibbs phase transition constructions
including the effects of surface tension and electromagnetic screening. We find
only a small influence on the maximum neutron star mass, whereas the radius of
the star and in particular its internal structure are more affected.
| nucl-th | we analyze the different possibilities for the hadronquark phase transition occurring in betastable matter including hyperons in neutron stars we use a bruecknerhartreefock approach including hyperons for the hadronic equation of state and a generalized mit bag model for the quark part we then point out in detail the differences between maxwell and gibbs phase transition constructions including the effects of surface tension and electromagnetic screening we find only a small influence on the maximum neutron star mass whereas the radius of the star and in particular its internal structure are more affected | [['we', 'analyze', 'the', 'different', 'possibilities', 'for', 'the', 'hadronquark', 'phase', 'transition', 'occurring', 'in', 'betastable', 'matter', 'including', 'hyperons', 'in', 'neutron', 'stars', 'we', 'use', 'a', 'bruecknerhartreefock', 'approach', 'including', 'hyperons', 'for', 'the', 'hadronic', 'equation', 'of', 'state', 'and', 'a', 'generalized', 'mit', 'bag', 'model', 'for', 'the', 'quark', 'part', 'we', 'then', 'point', 'out', 'in', 'detail', 'the', 'differences', 'between', 'maxwell', 'and', 'gibbs', 'phase', 'transition', 'constructions', 'including', 'the', 'effects', 'of', 'surface', 'tension', 'and', 'electromagnetic', 'screening', 'we', 'find', 'only', 'a', 'small', 'influence', 'on', 'the', 'maximum', 'neutron', 'star', 'mass', 'whereas', 'the', 'radius', 'of', 'the', 'star', 'and', 'in', 'particular', 'its', 'internal', 'structure', 'are', 'more', 'affected']] | [-0.0668974658311595, 0.22872163519583721, -0.11069434762041094, 0.13321629948713767, -0.0882752373193701, -0.038574679985001525, 0.09717774702866952, 0.33358074832827816, -0.19918145505731466, -0.28612266748302406, 0.027449104799738815, -0.31326196071321283, -0.08000019661361171, 0.11495214933779851, 0.046983125249064096, 0.01798451470989754, 0.04537420719861984, 0.09059552872373212, -0.15784843420229291, -0.1710920429911204, 0.4108880065201271, -0.011011165683157742, 0.20911536021007887, 0.1095560975723289, 0.05828293166949504, -0.03315042172713826, -0.007557534727878789, 0.008995332885333288, -0.16731342832527815, -0.02753778522513727, 0.19019075013103806, 0.0578854642481117, 0.15760595784572665, -0.4089956700461366, -0.24516459642308613, 0.1090396262745383, 0.08722042323025044, 0.13464058814970878, -0.07780585346836721, -0.29410880523663696, 0.039188269871257, -0.2383304089871085, -0.12815679642822472, -0.061616763592727726, 0.016264162807454987, 0.028860002015066402, -0.25450939516679594, 0.11633634215386043, 0.035551376175135374, 0.002025804041774683, -0.12255643035400339, -0.18467520523105338, -0.01838200062673579, 0.06288591299145933, 0.03012966479410127, 0.031483139995465516, 0.15459234265470376, -0.2130192744155084, -0.0009345094553164897, 0.42829721871643295, -0.05329635103423429, -0.14473439441613292, 0.15858976421026533, -0.19251639204680598, -0.1546262408286253, 0.0854661134021577, 0.17525802938998628, 0.14957431676266816, -0.14743247923193378, 0.05796299316740084, 0.04460167040252277, 0.15614342045756208, 0.09442638116638347, 0.0193459652364254, 0.2772625479221304, 0.22886445582844317, -0.049743521788347796, 0.14484744170500385, -0.1523658222674864, -0.1503601579336069, -0.3142661347544642, -0.1095153490151529, -0.1088729816819391, -0.016503024686087844, -0.1250954790506199, -0.16701877564792672, 0.37304372376491945, 0.10651819560156074, 0.13761711392992287, -0.04470719459156195, 0.24685440159412803, 0.06153186585914384, 0.01194220238054792, 0.10085266133550033, 0.28804141916935483, 0.21402715954438895, 0.11554424434659942, -0.3176918204633459, 0.032545495302646714, 0.05173411322957886] |
708.3278 | A Review of Procedure to Evolve Quantum Procedures | There exist quantum algorithms that are more efficient than their classical
counterparts; such algorithms were invented by Shor in 1994 and then Grover in
1996. A lack of invention since Grover's algorithm has been commonly attributed
to the non-intuitive nature of quantum algorithms to the classically trained
person. Thus, the idea of using computers to automatically generate quantum
algorithms based on an evolutionary model emerged. A limitation of this
approach is that quantum computers do not yet exist and quantum simulation on a
classical machine has an exponential order overhead. Nevertheless, early
research into evolving quantum algorithms has shown promise.
This paper provides an introduction into quantum and evolutionary algorithms
for the computer scientist not familiar with these fields. The exciting field
of using evolutionary algorithms to evolve quantum algorithms is then reviewed.
| quant-ph | there exist quantum algorithms that are more efficient than their classical counterparts such algorithms were invented by shor in 1994 and then grover in 1996 a lack of invention since grovers algorithm has been commonly attributed to the nonintuitive nature of quantum algorithms to the classically trained person thus the idea of using computers to automatically generate quantum algorithms based on an evolutionary model emerged a limitation of this approach is that quantum computers do not yet exist and quantum simulation on a classical machine has an exponential order overhead nevertheless early research into evolving quantum algorithms has shown promise this paper provides an introduction into quantum and evolutionary algorithms for the computer scientist not familiar with these fields the exciting field of using evolutionary algorithms to evolve quantum algorithms is then reviewed | [['there', 'exist', 'quantum', 'algorithms', 'that', 'are', 'more', 'efficient', 'than', 'their', 'classical', 'counterparts', 'such', 'algorithms', 'were', 'invented', 'by', 'shor', 'in', '1994', 'and', 'then', 'grover', 'in', '1996', 'a', 'lack', 'of', 'invention', 'since', 'grovers', 'algorithm', 'has', 'been', 'commonly', 'attributed', 'to', 'the', 'nonintuitive', 'nature', 'of', 'quantum', 'algorithms', 'to', 'the', 'classically', 'trained', 'person', 'thus', 'the', 'idea', 'of', 'using', 'computers', 'to', 'automatically', 'generate', 'quantum', 'algorithms', 'based', 'on', 'an', 'evolutionary', 'model', 'emerged', 'a', 'limitation', 'of', 'this', 'approach', 'is', 'that', 'quantum', 'computers', 'do', 'not', 'yet', 'exist', 'and', 'quantum', 'simulation', 'on', 'a', 'classical', 'machine', 'has', 'an', 'exponential', 'order', 'overhead', 'nevertheless', 'early', 'research', 'into', 'evolving', 'quantum', 'algorithms', 'has', 'shown', 'promise', 'this', 'paper', 'provides', 'an', 'introduction', 'into', 'quantum', 'and', 'evolutionary', 'algorithms', 'for', 'the', 'computer', 'scientist', 'not', 'familiar', 'with', 'these', 'fields', 'the', 'exciting', 'field', 'of', 'using', 'evolutionary', 'algorithms', 'to', 'evolve', 'quantum', 'algorithms', 'is', 'then', 'reviewed']] | [-0.04740520763995224, 0.10294333892588634, -0.16255823823560336, 0.08531689995381617, -0.10482165194991835, -0.22226956259473263, 0.017303601125276236, 0.41051641311076353, -0.2447257859534339, -0.3525485753508887, 0.08738834521544159, -0.19518059293242326, -0.22185546340406836, 0.2668149850245467, -0.11406873000953767, 0.1289179275736661, 0.07690287179040506, 0.02262123309068064, -0.0347538539821184, -0.3526700283033087, 0.22975362058644905, 0.057371358145588545, 0.2770094261749795, -0.011538159135462982, 0.09334991861281819, -0.0345540171300054, -0.008765053849569276, 0.018740477040410042, -0.09966696440857131, 0.1277477553786528, 0.28731427906707796, 0.22448352346707948, 0.3533942500703541, -0.46486115127913935, -0.19600068447985372, 0.13242916469077082, 0.18362194024064907, 0.19319378247806676, -0.08073429021114725, -0.3048932646380219, 0.0995014163409885, -0.1361290590708053, -0.03595782631195914, -0.1039883051088598, 0.03262108209528925, -0.05658304962002203, -0.17954055741635025, -0.006548100581770777, 0.09441911171915192, 0.06575048857550592, 0.03151820728417899, -0.09200945517391358, 0.10736483638700013, 0.125378525780892, -0.014085653502340043, 0.049795617480741294, 0.11961735011939716, -0.1275085121287292, -0.28542291183248725, 0.38803157356000484, 0.022016329274497946, -0.14600486602438123, 0.22610512797552673, -0.0006356967711134961, -0.14767651495355694, 0.10374576425796053, 0.16121197659592318, 0.09356283888752971, -0.1483599980417779, 0.13045468124870868, 0.021521676121685738, 0.16113376155271567, 0.030359154388560614, 0.0528125910830677, 0.2054819415325187, 0.1248375233752947, 0.046506067144481425, 0.09885005626470354, -0.018367471372318294, -0.22179790073830663, -0.18454135901161603, -0.18219343958688633, -0.22784295256592726, 0.0760577424970732, -0.000447893665453132, -0.20600663368739852, 0.35666882750907336, 0.19252727786691762, 0.11497591737713805, 0.024836394319632894, 0.3212148432857952, 0.09911347417461973, 0.09872039484124477, 0.14833633440363533, 0.24087549703321734, 0.14056714535585807, 0.1315369540051937, -0.17540364874495348, 0.0902515191329237, 0.06627646906483442] |
708.3279 | Which weakly ramified group actions admit a universal formal
deformation? | Consider a formal (mixed-characteristic) deformation functor D of a
representation of a finite group G as automorphisms of a power series ring
k[[t]] over a perfect field k of positive characteristic. Assume that the
action of G is weakly ramified, i.e., the second ramification group is trivial.
Examples of such representations are provided by a group action on an ordinary
curve: the action of a ramification group on the completed local ring of any
point on such a curve is weakly ramified.
We prove that the only such D that are not pro-representable occur if k has
characteristic two and G is of order two or isomorphic to a Klein group.
Furthermore, we show that only the first of those has a non-pro-representable
equicharacteristic deformation functor.
| math.AG math.NT | consider a formal mixedcharacteristic deformation functor d of a representation of a finite group g as automorphisms of a power series ring kt over a perfect field k of positive characteristic assume that the action of g is weakly ramified ie the second ramification group is trivial examples of such representations are provided by a group action on an ordinary curve the action of a ramification group on the completed local ring of any point on such a curve is weakly ramified we prove that the only such d that are not prorepresentable occur if k has characteristic two and g is of order two or isomorphic to a klein group furthermore we show that only the first of those has a nonprorepresentable equicharacteristic deformation functor | [['consider', 'a', 'formal', 'mixedcharacteristic', 'deformation', 'functor', 'd', 'of', 'a', 'representation', 'of', 'a', 'finite', 'group', 'g', 'as', 'automorphisms', 'of', 'a', 'power', 'series', 'ring', 'kt', 'over', 'a', 'perfect', 'field', 'k', 'of', 'positive', 'characteristic', 'assume', 'that', 'the', 'action', 'of', 'g', 'is', 'weakly', 'ramified', 'ie', 'the', 'second', 'ramification', 'group', 'is', 'trivial', 'examples', 'of', 'such', 'representations', 'are', 'provided', 'by', 'a', 'group', 'action', 'on', 'an', 'ordinary', 'curve', 'the', 'action', 'of', 'a', 'ramification', 'group', 'on', 'the', 'completed', 'local', 'ring', 'of', 'any', 'point', 'on', 'such', 'a', 'curve', 'is', 'weakly', 'ramified', 'we', 'prove', 'that', 'the', 'only', 'such', 'd', 'that', 'are', 'not', 'prorepresentable', 'occur', 'if', 'k', 'has', 'characteristic', 'two', 'and', 'g', 'is', 'of', 'order', 'two', 'or', 'isomorphic', 'to', 'a', 'klein', 'group', 'furthermore', 'we', 'show', 'that', 'only', 'the', 'first', 'of', 'those', 'has', 'a', 'nonprorepresentable', 'equicharacteristic', 'deformation', 'functor']] | [-0.25429493113607166, 0.0906158965799259, -0.15886077199876308, -0.015050335971172899, -0.12021411663293838, -0.14748593462258577, -0.005573757216334343, 0.3570403999313712, -0.3361794781833887, -0.1961147450990975, 0.09938236159458756, -0.257271574431099, -0.15046454233769327, 0.1944084769319743, -0.0937324105380103, -0.0824516472976975, 0.01584335744380951, 0.23290717078000306, -0.057905787631869314, -0.28770213399268685, 0.37665916013717654, -0.08098851902410388, 0.19556346129626034, 0.0050672458782792095, 0.12245450501143933, -0.006478432208299637, 0.011392928233370184, 0.04466523022763431, -0.09168650192883797, 0.06266006660833955, 0.27287657729536297, 0.03893402412720025, 0.2388991939118132, -0.36004737520217894, -0.2101720875138417, 0.1993496559858322, 0.08672382851690054, 0.008290845535695552, -0.02326050122920424, -0.22398735579103232, 0.16431907018832861, -0.1917117099314928, -0.10850150766316802, -0.05278264323249459, 0.09842572174686938, -0.002597558043897152, -0.25472428886964915, -0.020262841418385507, 0.1191305568665266, 0.16908845738694073, -0.02619038898870349, -0.07164402395859361, -0.057454966780729595, 0.0713333317283541, -0.021563057483173907, 0.053275840193964544, 0.12014419653266668, -0.1296559198871255, -0.07642049537040294, 0.4134214681982994, -0.12086089715454727, -0.1453603560794145, 0.15389338128268717, -0.19009657518938183, -0.12550590916723012, 0.1662698810622096, 0.07744233361259102, 0.18341574626415968, -0.015850526995956897, 0.21065527124656364, -0.16350887791067362, 0.13953901473828592, 0.061389680162072184, -0.07530313685536384, 0.14034513009339572, 0.08618958654440939, 0.10789697419898585, 0.0865605530589819, 0.001688306422904134, 0.023155594680458306, -0.38535190945118664, -0.18472977692447604, -0.14386518789827824, 0.1326391915549757, -0.07328019615996163, -0.17512643577903508, 0.4213381925076246, 0.04198559419438243, 0.21815384746715427, 0.0895764700435102, 0.21936581854522227, 0.08901307699736208, 0.06647378704883158, 0.05018322785943746, 0.1064526846036315, 0.17822835035063325, -0.10165390071738512, -0.16583336604596116, -0.01836310671828687, 0.16468123745173216] |
708.328 | Bulk viscosity and deflationary universes | We analyze the conditions that make possible the description of entropy
generation in the new inflationary model by means of a nearequilibrium process.
We show that there are situations in which the bulk viscosity cannot describe
particle production during the coherent field oscillations phase.
| astro-ph | we analyze the conditions that make possible the description of entropy generation in the new inflationary model by means of a nearequilibrium process we show that there are situations in which the bulk viscosity cannot describe particle production during the coherent field oscillations phase | [['we', 'analyze', 'the', 'conditions', 'that', 'make', 'possible', 'the', 'description', 'of', 'entropy', 'generation', 'in', 'the', 'new', 'inflationary', 'model', 'by', 'means', 'of', 'a', 'nearequilibrium', 'process', 'we', 'show', 'that', 'there', 'are', 'situations', 'in', 'which', 'the', 'bulk', 'viscosity', 'can', 'not', 'describe', 'particle', 'production', 'during', 'the', 'coherent', 'field', 'oscillations', 'phase']] | [-0.13329751753675131, 0.22576432016988596, -0.12201883883939849, 0.08542664355954913, -0.012688016410296162, -0.09498449500857128, 0.0231372002305256, 0.3343213031689326, -0.29370884250642526, -0.2485818288806412, 0.0725366869682653, -0.21282088276412753, -0.152280968039607, 0.19737591474679195, -0.05190331181511283, 0.029097173766543468, 0.08145822851608196, 0.04433887063836058, -0.02054350674411075, -0.19627589070134693, 0.3325956536870864, 0.04118296566108862, 0.2744406377689706, 0.05622186470362875, 0.07824314534664153, -0.03953674788483315, 0.0008746269948056174, 0.0398990016637577, -0.19864553579375044, 0.03057685432334741, 0.21273223605627814, 0.1290052945415179, 0.20019894076718225, -0.45965076188246407, -0.25750796859049135, 0.14368407448960674, 0.10512548855881, 0.158397935048884, -0.07632209774520662, -0.20253274571150542, 0.043391795684066085, -0.18262042560511166, -0.11556538154060642, -0.1514340638803939, -0.003733109245594177, -0.013441036538117462, -0.27740775868296624, 0.10879365357880791, 0.03716110244600309, -0.01752917310740385, -0.07438311550455788, -0.004218331289788087, -0.05028574784907202, 0.07256249229734142, 0.07788363792092746, -0.020982919762738878, 0.1496863041163629, -0.18702125567942857, -0.12327714459970593, 0.37673265669080946, -0.1144228347344324, -0.16067906231102017, 0.20010159446133507, -0.19246088484716084, -0.12659846878507072, 0.1150011072245737, 0.15935828106270897, 0.1204619446872837, -0.1868709654443794, 0.07138072699308395, -0.0024337822157475685, 0.14258557669301, 0.04947116027793123, 0.03683464363631275, 0.25065015653769174, 0.1577861126098368, 0.01777500764777263, 0.1655046050126354, -0.066082713752985, -0.129630437204873, -0.3905262479765548, -0.18813453273226818, -0.14738605023982623, 0.03076912303384031, -0.06106561880506989, -0.164031269442704, 0.40994265768676996, 0.22088527721870277, 0.18977953816453616, -0.028756788266926177, 0.2646651920552055, 0.12834918587209865, 0.01612631461272637, 0.07058424167335034, 0.32144384427616995, 0.07478431813522346, 0.12694538063887092, -0.23042147666629817, 0.06859475658275187, 0.058723350231432256] |
708.3281 | Chiral violations from one-loop domain wall fermions | We present results from lattice perturbation theory for the residual mass and
other matrix elements measuring the breaking of chiral symmetry in domain-wall
fermions. We have used the exact propagators corresponding to a finite number
of points in the fifth dimensions, and results were obtained for several
choices of the domain-wall parameters.
| hep-lat | we present results from lattice perturbation theory for the residual mass and other matrix elements measuring the breaking of chiral symmetry in domainwall fermions we have used the exact propagators corresponding to a finite number of points in the fifth dimensions and results were obtained for several choices of the domainwall parameters | [['we', 'present', 'results', 'from', 'lattice', 'perturbation', 'theory', 'for', 'the', 'residual', 'mass', 'and', 'other', 'matrix', 'elements', 'measuring', 'the', 'breaking', 'of', 'chiral', 'symmetry', 'in', 'domainwall', 'fermions', 'we', 'have', 'used', 'the', 'exact', 'propagators', 'corresponding', 'to', 'a', 'finite', 'number', 'of', 'points', 'in', 'the', 'fifth', 'dimensions', 'and', 'results', 'were', 'obtained', 'for', 'several', 'choices', 'of', 'the', 'domainwall', 'parameters']] | [-0.14103407899025255, 0.21214609604570656, -0.06828280887566507, 0.037294601842474476, -0.04227257279070237, -0.06621821350955333, 0.04631679292204073, 0.3649872357312303, -0.18181044726560897, -0.2793935838406189, 0.0984754309980557, -0.3035329073094405, -0.1307878052153123, 0.14229733614215198, 0.03074221911195379, 0.12649944188216558, 0.01369194390449243, 0.044412756499905996, -0.1529815410836958, -0.23872718641247886, 0.3423978815374609, -0.0586640846897633, 0.2631340557888437, 0.08658454988975652, 0.056710604506616406, -0.0016555155072217951, -0.025169009665170543, -0.0009454024078037876, -0.13215759806693173, 0.12317022781980295, 0.16329622751352593, 0.008121247689884443, 0.12284492113842414, -0.452216511234068, -0.20329001311284417, 0.06302762679898968, 0.1247336940947347, 0.19209984929945606, -0.07297674777845924, -0.28748344407918364, 0.12093408840994996, -0.16517413350252005, -0.21012834495363328, -0.1024729682607218, -0.022822753553135462, -0.020858659946288053, -0.316038490487979, 0.07295938206908222, -0.039124125722222604, 0.09920387020191321, -0.054920756338665694, -0.19863839347202045, -0.03506113855669705, 0.15084476998219123, 0.11228883746438302, -0.017508258425200787, 0.07280664051247115, -0.1537643126480711, -0.1580680189654231, 0.4200789911779933, -0.0736013285529155, -0.22423156139512473, 0.15695733754322505, -0.11580976118476918, -0.13489860761910677, 0.07350192763484441, 0.1525314057317491, 0.09746810388214026, -0.13186322009334198, 0.10943836633948824, -0.041185563134674266, 0.1311435943196277, 0.0860281005465927, 0.028936106183279593, 0.1673280300321774, 0.10396869421954481, 0.032561869329163946, 0.10415217935112125, -0.06178977608215064, -0.11315304597911353, -0.3375548566333376, -0.09646262809446153, -0.21266038569872484, 0.02259835178623549, -0.15702401914649483, -0.13762903603940055, 0.44407760083245545, 0.16629309247498616, 0.19092480211447066, 0.026944951405032322, 0.18878308473190722, 0.13015229546894821, 0.11925759288267447, 0.0215523222532983, 0.23220685775427577, 0.14136432278274486, 0.07136283886547272, -0.2855673366933703, -0.10396241881132412, 0.16816694738092616] |
708.3282 | Modeling Crowd Turbulence by Many-Particle Simulations | A recent study [D. Helbing, A. Johansson and H. Z. Al-Abideen, {\it Phys.
Rev. E} 75, 046109 (2007)] has revealed a "turbulent" state of pedestrian
flows, which is characterized by sudden displacements and causes the falling
and trampling of people. However, turbulent crowd motion is not reproduced well
by current many-particle models due to their insufficient representation of the
local interactions in areas of extreme densities. In this contribution, we
extend the repulsive force term of the social force model to reproduce crowd
turbulence. We perform numerical simulations of pedestrians moving through a
bottleneck area with this new model. The transitions from laminar to
stop-and-go and turbulent flows are observed. The empirical features
characterizing crowd turbulence, such as the structure function and the
probability density function of velocity increments are reproduced well, i.e.
they are well compatible with an analysis of video data during the annual
Muslim pilgrimage.
| physics.soc-ph | a recent study d helbing a johansson and h z alabideen it phys rev e 75 046109 2007 has revealed a turbulent state of pedestrian flows which is characterized by sudden displacements and causes the falling and trampling of people however turbulent crowd motion is not reproduced well by current manyparticle models due to their insufficient representation of the local interactions in areas of extreme densities in this contribution we extend the repulsive force term of the social force model to reproduce crowd turbulence we perform numerical simulations of pedestrians moving through a bottleneck area with this new model the transitions from laminar to stopandgo and turbulent flows are observed the empirical features characterizing crowd turbulence such as the structure function and the probability density function of velocity increments are reproduced well ie they are well compatible with an analysis of video data during the annual muslim pilgrimage | [['a', 'recent', 'study', 'd', 'helbing', 'a', 'johansson', 'and', 'h', 'z', 'alabideen', 'it', 'phys', 'rev', 'e', '75', '046109', '2007', 'has', 'revealed', 'a', 'turbulent', 'state', 'of', 'pedestrian', 'flows', 'which', 'is', 'characterized', 'by', 'sudden', 'displacements', 'and', 'causes', 'the', 'falling', 'and', 'trampling', 'of', 'people', 'however', 'turbulent', 'crowd', 'motion', 'is', 'not', 'reproduced', 'well', 'by', 'current', 'manyparticle', 'models', 'due', 'to', 'their', 'insufficient', 'representation', 'of', 'the', 'local', 'interactions', 'in', 'areas', 'of', 'extreme', 'densities', 'in', 'this', 'contribution', 'we', 'extend', 'the', 'repulsive', 'force', 'term', 'of', 'the', 'social', 'force', 'model', 'to', 'reproduce', 'crowd', 'turbulence', 'we', 'perform', 'numerical', 'simulations', 'of', 'pedestrians', 'moving', 'through', 'a', 'bottleneck', 'area', 'with', 'this', 'new', 'model', 'the', 'transitions', 'from', 'laminar', 'to', 'stopandgo', 'and', 'turbulent', 'flows', 'are', 'observed', 'the', 'empirical', 'features', 'characterizing', 'crowd', 'turbulence', 'such', 'as', 'the', 'structure', 'function', 'and', 'the', 'probability', 'density', 'function', 'of', 'velocity', 'increments', 'are', 'reproduced', 'well', 'ie', 'they', 'are', 'well', 'compatible', 'with', 'an', 'analysis', 'of', 'video', 'data', 'during', 'the', 'annual', 'muslim', 'pilgrimage']] | [-0.11704244210754763, 0.155001027339831, -0.09495151563019696, 0.05363866307863197, -0.03290595762648505, -0.08474704624498136, 0.02758064455163748, 0.34468756523581334, -0.24598588794469833, -0.3371203814454581, 0.031084650173808816, -0.27978646265317314, -0.14842421932877337, 0.16139238462017927, -0.08717604855486918, 0.070277148430325, 0.05391701923090046, -0.004727067429036514, 0.035634446987237986, -0.19772896814727772, 0.24616198176645662, 0.07441408813242124, 0.27565373304899626, 0.05040593316446837, 0.093668611861338, -0.05090301036866612, -0.09007401739196112, 0.049030708169807, -0.16143943777639572, 0.052034273743629456, 0.21802715536268058, 0.07361718922955533, 0.2694341958108141, -0.43927992044705644, -0.2787482552294147, 0.08112069863940857, 0.12463706987909973, 0.08839160311498284, 0.005952137285980638, -0.3564947365642819, 0.034203109189497996, -0.21070765452268087, -0.12120987965457447, -0.08400122600939278, 0.07569023755168516, 0.07710406588380901, -0.26408544190830796, 0.17858458563768342, 0.04435956207413405, 0.10272793080466353, -0.0506852968111124, -0.050937002078209025, -0.038591143386502276, 0.12503101009228076, 0.09436410017971791, 0.059257403781561004, 0.1835954707811191, -0.19039835030378852, -0.09455158409649787, 0.40790404246686257, -0.05017322757638583, -0.14356651760746203, 0.23646483494428128, -0.14207774269943163, -0.07270089479494993, 0.1555279429032378, 0.17320097066072926, 0.0827456087094081, -0.12329673393643843, 0.028034288651064318, -0.08916044454883676, 0.1059277516371915, 0.04701754919010891, -0.055064157538167006, 0.2191627500833918, 0.1659666574464422, 0.021779311450887216, 0.06018334622048352, -0.12797657382189717, -0.11912509325528135, -0.2629039250696971, -0.10069936078220401, -0.18877802860655196, 0.03857326712261978, -0.039854190254417304, -0.13787029354198363, 0.36132747229596934, 0.13506096419527464, 0.23923124713992241, 0.03560153885077915, 0.2776108456469358, 0.09818051568087356, 0.027931822886473615, 0.14115186629191756, 0.22092934157252822, 0.12211401641930211, 0.16204578052785196, -0.20163150222123638, 0.07900001386049753, 0.042570140383410435] |
708.3283 | Sigma Model Q-balls and Q-Stars | A new kind of Q-balls is found: Q-balls in a non-linear sigma model. Their
main properties are presented together with those of their self-gravitating
generalization, sigma model Q-stars. A simple special limit of solutions which
are bound by gravity alone (``sigma stars'') is also discussed briefly. The
analysis is based on calculating the mass, global U(1) charge and binding
energy for families of solutions parameterized by the central value of the
scalar field. Two kinds (differing by the potential term) of the new sigma
model Q-balls and Q-stars are analyzed. They are found to share some
characteristics while differing in other respects like their properties for
weak central scalar fields which depend strongly on the form of the potential
term. They are also compared with their ``ordinary'' counterparts and although
similar in some respects, significant differences are found like the existence
of an upper bound on the central scalar field. The sigma model Q-stars also
contain non-solitonic solutions whose relation with sigma star solutions is
discussed.
| gr-qc hep-th | a new kind of qballs is found qballs in a nonlinear sigma model their main properties are presented together with those of their selfgravitating generalization sigma model qstars a simple special limit of solutions which are bound by gravity alone sigma stars is also discussed briefly the analysis is based on calculating the mass global u1 charge and binding energy for families of solutions parameterized by the central value of the scalar field two kinds differing by the potential term of the new sigma model qballs and qstars are analyzed they are found to share some characteristics while differing in other respects like their properties for weak central scalar fields which depend strongly on the form of the potential term they are also compared with their ordinary counterparts and although similar in some respects significant differences are found like the existence of an upper bound on the central scalar field the sigma model qstars also contain nonsolitonic solutions whose relation with sigma star solutions is discussed | [['a', 'new', 'kind', 'of', 'qballs', 'is', 'found', 'qballs', 'in', 'a', 'nonlinear', 'sigma', 'model', 'their', 'main', 'properties', 'are', 'presented', 'together', 'with', 'those', 'of', 'their', 'selfgravitating', 'generalization', 'sigma', 'model', 'qstars', 'a', 'simple', 'special', 'limit', 'of', 'solutions', 'which', 'are', 'bound', 'by', 'gravity', 'alone', 'sigma', 'stars', 'is', 'also', 'discussed', 'briefly', 'the', 'analysis', 'is', 'based', 'on', 'calculating', 'the', 'mass', 'global', 'u1', 'charge', 'and', 'binding', 'energy', 'for', 'families', 'of', 'solutions', 'parameterized', 'by', 'the', 'central', 'value', 'of', 'the', 'scalar', 'field', 'two', 'kinds', 'differing', 'by', 'the', 'potential', 'term', 'of', 'the', 'new', 'sigma', 'model', 'qballs', 'and', 'qstars', 'are', 'analyzed', 'they', 'are', 'found', 'to', 'share', 'some', 'characteristics', 'while', 'differing', 'in', 'other', 'respects', 'like', 'their', 'properties', 'for', 'weak', 'central', 'scalar', 'fields', 'which', 'depend', 'strongly', 'on', 'the', 'form', 'of', 'the', 'potential', 'term', 'they', 'are', 'also', 'compared', 'with', 'their', 'ordinary', 'counterparts', 'and', 'although', 'similar', 'in', 'some', 'respects', 'significant', 'differences', 'are', 'found', 'like', 'the', 'existence', 'of', 'an', 'upper', 'bound', 'on', 'the', 'central', 'scalar', 'field', 'the', 'sigma', 'model', 'qstars', 'also', 'contain', 'nonsolitonic', 'solutions', 'whose', 'relation', 'with', 'sigma', 'star', 'solutions', 'is', 'discussed']] | [-0.13065272677936648, 0.1296447554543784, -0.05514206118174795, 0.13902026395585546, -0.06797920092267085, -0.15379821789922216, -0.02073059481055285, 0.3115266072563827, -0.19318768770310535, -0.3129766265727041, 0.10357860990600795, -0.31851954851439784, -0.13067126557503053, 0.18908929865784854, -0.010778389520471892, 0.008554244984827757, 0.009723769742799137, 0.11227834585167647, -0.06038172492695725, -0.22998344533549375, 0.35304134226325584, 0.008846622297024152, 0.21870974798024778, 0.01870734941393855, 0.03036168161274708, -0.06823238490727247, -0.03265244619225163, 0.036582529152103936, -0.1579510815391115, 0.09314595896144767, 0.1463330864025482, 0.07110588125329105, 0.17663354500679365, -0.3972595080464001, -0.21639215183747282, 0.12018850202257016, 0.13915446785654514, 0.07776960078626871, -0.08520422745264607, -0.2697039676987263, 0.10940916596628524, -0.14927481570637346, -0.16338592994655202, -0.07428157769693398, 0.03978869583070593, 0.09607623280720302, -0.19751268643212605, 0.11449982108515322, 0.06853712372220941, 0.0048759018244742165, -0.1127225148641639, -0.1731454690256302, -0.07635709882927048, 0.053775133935353124, 0.09899779417585716, 0.021311179367286794, 0.1085494716359998, -0.20212015183923027, -0.07672069089540494, 0.3978721928300269, -0.09593014940563364, -0.2481152616084991, 0.1992408226549917, -0.12919852759370704, -0.14686631069081016, 0.10098925206308107, 0.138428843961692, 0.12537631045757647, -0.17231057557636445, 0.12216889399632598, -0.04503918278973595, 0.15272205524954452, 0.06116163293572973, 0.09189517825213542, 0.2604315105758338, 0.11455701938577849, 0.014086226807172265, 0.09961223219702278, -0.018002210854319856, -0.14515373604484352, -0.33230703505855724, -0.10669575665070373, -0.08629127916128161, 0.025025857512205166, -0.1093771352082195, -0.1563148953115949, 0.3804591963143391, 0.08011492212157113, 0.16588937264799802, 0.058271311497012805, 0.19874919623316054, 0.16728608702738623, 0.07586986676744938, 0.06782082228147122, 0.2928897261157413, 0.16679811180170895, 0.06203458706163857, -0.20342517092737022, 0.004279893094670947, 0.060222983196187] |
708.3284 | Interacting holographic dark energy in the scalar-Gauss-Bonnet gravity | In this paper we study cosmological application of interacting holographic
dark energy density in the scalar-Gauss-Bonnet framework. We employ the
interacting holographic model of dark energy to obtain the equation of state
for the interacting holographic energy density in spatially flat universe. Our
calculation show, taking $\Omega_{\Lambda}=0.73$ for the present time, it is
possible to have $w_{\rm \Lambda}^{eff}$ crossing -1. This implies that one can
generate phantom-like equation of state from the interacting holographic dark
energy model in flat universe in the scalar-Gauss-Bonnet cosmology framework.
Then we reconstruct the potential of the scalar field.
| hep-th | in this paper we study cosmological application of interacting holographic dark energy density in the scalargaussbonnet framework we employ the interacting holographic model of dark energy to obtain the equation of state for the interacting holographic energy density in spatially flat universe our calculation show taking omega_lambda073 for the present time it is possible to have w_rm lambdaeff crossing 1 this implies that one can generate phantomlike equation of state from the interacting holographic dark energy model in flat universe in the scalargaussbonnet cosmology framework then we reconstruct the potential of the scalar field | [['in', 'this', 'paper', 'we', 'study', 'cosmological', 'application', 'of', 'interacting', 'holographic', 'dark', 'energy', 'density', 'in', 'the', 'scalargaussbonnet', 'framework', 'we', 'employ', 'the', 'interacting', 'holographic', 'model', 'of', 'dark', 'energy', 'to', 'obtain', 'the', 'equation', 'of', 'state', 'for', 'the', 'interacting', 'holographic', 'energy', 'density', 'in', 'spatially', 'flat', 'universe', 'our', 'calculation', 'show', 'taking', 'omega_lambda073', 'for', 'the', 'present', 'time', 'it', 'is', 'possible', 'to', 'have', 'w_rm', 'lambdaeff', 'crossing', '1', 'this', 'implies', 'that', 'one', 'can', 'generate', 'phantomlike', 'equation', 'of', 'state', 'from', 'the', 'interacting', 'holographic', 'dark', 'energy', 'model', 'in', 'flat', 'universe', 'in', 'the', 'scalargaussbonnet', 'cosmology', 'framework', 'then', 'we', 'reconstruct', 'the', 'potential', 'of', 'the', 'scalar', 'field']] | [-0.12903732655847328, 0.1222261881871902, -0.1725011992248449, 0.10522798638904785, -0.06248985940313086, -0.14789330943467768, -0.06984011926118562, 0.3110796601531353, -0.19553816172868965, -0.3285452791246922, -0.01902860147071051, -0.25096186198928255, -0.0494033536933204, 0.09568383041868343, 0.05113255566461606, -0.005082582450531265, -0.018192740090369704, 0.062168143892739995, -0.020228656646027725, -0.23780754869407478, 0.37949856886877975, 0.05330054881794259, 0.2661248342966304, 0.036401342892860795, 0.10352980182506144, -0.0100379696888651, 0.01282128491538002, 0.01790095219745281, -0.22840791451535744, 0.0657194181285957, 0.21674198284745216, 0.0970527934786081, 0.20426458866147207, -0.4422954706712923, -0.29864120758832136, 0.16854273292553076, 0.16453450639791628, 0.16011750742178807, -0.07794672605442873, -0.27476000859639904, 0.017670396418171995, -0.221486027570481, -0.18135939513709634, -0.055877590602749286, -0.05651050832177056, -0.050794912767819465, -0.1995628220920867, 0.18520611819583288, -0.08666206456899167, -0.11048541225968524, -0.14915024415352085, -0.028543163160298098, -0.02160830243659067, -0.006591246909204315, 0.06053745178406701, 0.027057404919685994, 0.10373293289399528, -0.20006161030230826, -0.03740684989408808, 0.3682893954732634, -0.1704721446941666, -0.1523936093745238, 0.13241333745548778, -0.11503309646046701, -0.14984478449270605, 0.0860163429950146, 0.13504003414121318, 0.10495941069452687, -0.13610870105789064, 0.19282589951886775, -0.025184784037496973, 0.15597283966997835, 0.027650207330651107, 0.03454868015436892, 0.2842193256637597, 0.18661759384075535, 0.022651654670629254, 0.13853484415944586, -0.05121016546964963, -0.12779022536569948, -0.3813214012758529, -0.2224555534627685, -0.20420130421011212, 0.07939619070632344, -0.11247337230065084, -0.13244709191209775, 0.4123041289759443, 0.18268855376307794, 0.15667212330934374, 0.056921070392065225, 0.2859271068244855, 0.10606212578738664, -0.025678692286477445, 0.10019043940515752, 0.2902791334038719, 0.09698348085178023, 0.12194073378688042, -0.23864758944763068, -0.10347794084017106, 0.036034175467261294] |
708.3285 | Do $c\bar c n\bar n$ bound states exist? | The four--quark system $c\bar c n\bar n$ is studied in the framework of the
constituent quark model. Using different types of quark-quark potentials, we
solve the four--body Schr\"odinger equation by means of the hyperspherical
harmonic formalism. Exploring the low laying $J^{PC}$ states for different
isospin configurations no four-quark bound states have been found. Of
particular interest is the possible four-quark structure of the X(3872). We
rule out the possibility that this particle is a compact tetraquark system,
unless additional correlations, either in the form of diquarks or at the level
of the interacting potential, not considered in simple quark models do
contribute.
| hep-ph hep-ex | the fourquark system cbar c nbar n is studied in the framework of the constituent quark model using different types of quarkquark potentials we solve the fourbody schrodinger equation by means of the hyperspherical harmonic formalism exploring the low laying jpc states for different isospin configurations no fourquark bound states have been found of particular interest is the possible fourquark structure of the x3872 we rule out the possibility that this particle is a compact tetraquark system unless additional correlations either in the form of diquarks or at the level of the interacting potential not considered in simple quark models do contribute | [['the', 'fourquark', 'system', 'cbar', 'c', 'nbar', 'n', 'is', 'studied', 'in', 'the', 'framework', 'of', 'the', 'constituent', 'quark', 'model', 'using', 'different', 'types', 'of', 'quarkquark', 'potentials', 'we', 'solve', 'the', 'fourbody', 'schrodinger', 'equation', 'by', 'means', 'of', 'the', 'hyperspherical', 'harmonic', 'formalism', 'exploring', 'the', 'low', 'laying', 'jpc', 'states', 'for', 'different', 'isospin', 'configurations', 'no', 'fourquark', 'bound', 'states', 'have', 'been', 'found', 'of', 'particular', 'interest', 'is', 'the', 'possible', 'fourquark', 'structure', 'of', 'the', 'x3872', 'we', 'rule', 'out', 'the', 'possibility', 'that', 'this', 'particle', 'is', 'a', 'compact', 'tetraquark', 'system', 'unless', 'additional', 'correlations', 'either', 'in', 'the', 'form', 'of', 'diquarks', 'or', 'at', 'the', 'level', 'of', 'the', 'interacting', 'potential', 'not', 'considered', 'in', 'simple', 'quark', 'models', 'do', 'contribute']] | [-0.12091580133653455, 0.2238643277053009, -0.08464520301569399, 0.1104982374167508, -0.02942861975216325, -0.17274341822200107, 0.07015804061666131, 0.3295100956411083, -0.16450667810425454, -0.22564534138084627, -0.0789050699620252, -0.2849579505307381, -0.07180631770661064, 0.04894176008882841, 0.12415385763982639, 0.09820817583514486, 0.06266829370311004, 0.05676098934867803, -0.045423295246733934, -0.21869928185946727, 0.37712286343779783, -0.06895462869365207, 0.1616541191949235, 0.13691600481066488, 0.019083639159433397, -0.02516472812595905, 0.03337710261728395, -0.08942470498675224, -0.06713187485722444, 0.06428644401089781, 0.20089650195932693, 0.09816114451307073, 0.19193622648633799, -0.41360493007974297, -0.18552353668857513, 0.13974419354881143, 0.1799681681007439, 0.1506746302669247, 0.004239965554363295, -0.3310867800815579, 0.0836445553189454, -0.22773701843677782, -0.21733359587561413, -0.13233702586434198, 0.059254264406512915, -0.03679345788288058, -0.2738313772150671, 0.08558786224902552, 0.028202273955970417, 0.018081341048373896, -0.05719873188154809, -0.24141423209506435, -0.04140144370167571, 0.04364169558154091, 0.004547033205573612, 0.04097228136978468, 0.12454126032945864, -0.1690793909913148, -0.14609979756413868, 0.41007982762347833, -0.03889369932642462, -0.2667267185763693, 0.1699767232639715, -0.11322028805757416, -0.15948943633074855, 0.08407777849260681, 0.15690407584713517, 0.11371572889095428, -0.1999670202009535, 0.15290160488374943, -0.057644865502986836, 0.16544443288562344, 0.10106977336473909, 0.06967464307044614, 0.23307475433045743, 0.1615971601636642, -0.03144257099769425, 0.09397860661185548, -0.01650497042939213, -0.15306939989129795, -0.3617521059681095, -0.1138520660909254, -0.1622308648702707, 0.0528810246661819, -0.03537726952744575, -0.1098387229585034, 0.4013450892080608, 0.06206457516379362, 0.17125091034754672, -0.06014751270641664, 0.26669259621378255, 0.1341257542679908, 0.06714032922686516, 0.07154220821993316, 0.28524510252435564, 0.17999986142111832, 0.0747621532566115, -0.291580687224518, 0.001336443909060429, 0.05237032374933216] |
708.3286 | Experiments with a Positivity Preserving Operator | We consider some multivariate rational functions which have (or are
conjectured to have) only positive coefficients in their series expansion. We
consider an operator that preserves positivity of series coefficients, and
apply the inverse of this operator to the rational functions. We obtain new
rational functions which seem to have only positive coefficients, whose
positivity would imply positivity of the original series, and which, in a
certain sense, cannot be improved any further.
| math.CO | we consider some multivariate rational functions which have or are conjectured to have only positive coefficients in their series expansion we consider an operator that preserves positivity of series coefficients and apply the inverse of this operator to the rational functions we obtain new rational functions which seem to have only positive coefficients whose positivity would imply positivity of the original series and which in a certain sense cannot be improved any further | [['we', 'consider', 'some', 'multivariate', 'rational', 'functions', 'which', 'have', 'or', 'are', 'conjectured', 'to', 'have', 'only', 'positive', 'coefficients', 'in', 'their', 'series', 'expansion', 'we', 'consider', 'an', 'operator', 'that', 'preserves', 'positivity', 'of', 'series', 'coefficients', 'and', 'apply', 'the', 'inverse', 'of', 'this', 'operator', 'to', 'the', 'rational', 'functions', 'we', 'obtain', 'new', 'rational', 'functions', 'which', 'seem', 'to', 'have', 'only', 'positive', 'coefficients', 'whose', 'positivity', 'would', 'imply', 'positivity', 'of', 'the', 'original', 'series', 'and', 'which', 'in', 'a', 'certain', 'sense', 'can', 'not', 'be', 'improved', 'any', 'further']] | [-0.1133927478882912, 0.06039235426441018, -0.12505154548263228, 0.055705834247763396, -0.12113878211459599, -0.14301415537232282, -0.0031793270105923955, 0.3499832985973036, -0.31799099012907295, -0.19070206497594513, 0.14995628017995105, -0.2554386947178156, -0.1893722098855604, 0.17595803437792268, -0.06618235231301672, 0.07722699681196261, 0.00675499571386624, 0.06812848304272504, -0.12679462358544305, -0.3307427521857962, 0.3558811626925662, -0.000194270012749208, 0.18199897237826843, 0.11478326053711006, 0.1475860322322193, -0.013085786593020768, -0.06434045599244938, -0.020626710891421582, -0.1182013603995713, 0.11909751017653458, 0.24145276581308478, 0.11516996249053124, 0.2684928263864807, -0.4375269365798984, -0.1876221599460051, 0.20798307133844826, 0.16756099931316804, 0.02842137512178286, 0.007170125055504409, -0.18894745182950753, 0.13462405438484573, -0.1561345362003792, -0.1420201421967028, -0.18230761085460717, -0.012963112827541458, 0.07247613352798932, -0.32320241066878913, 0.0779543665074114, 0.0834935624152422, 0.054096467755231505, -0.05935116168237417, -0.1262646613176912, 0.014825037535833748, 0.11044858012512024, 0.03315765380142005, -0.008918756250971677, 0.04753928499396991, -0.09269885036376985, -0.09578222978853847, 0.3242927579637113, -0.05442625885936306, -0.29175235780358716, 0.15611190016607981, -0.23299672347619324, -0.1746467998742151, 0.08736620137367297, 0.14699587976006237, 0.1381434531932747, -0.09377869632019586, 0.11969071917229558, -0.12953332640432022, 0.11871146715585948, 0.11575955208516805, 0.028211925310913374, 0.1486146553495043, -0.09151038217650903, 0.09907730092684663, 0.12791657555892408, 0.07234890315354474, -0.05579126234845938, -0.3306144299111455, -0.17429517541785497, -0.15274062468922017, 0.09543344137794496, -0.09249797890653419, -0.24983299970375122, 0.3890900621442376, 0.09459896500826485, 0.2398001269210835, 0.11054633791099076, 0.17468222259619348, 0.26190932658878535, 0.08950653068038535, 0.028458042170953105, 0.1844178216671099, 0.11392748813975502, 0.061026693573473276, -0.15094869428414953, 0.105287635440913, 0.14906125114853117] |
708.3287 | Combinatorial Bethe ansatz and generalized periodic box-ball system | We reformulate the Kerov-Kirillov-Reshetikhin (KKR) map in the combinatorial
Bethe ansatz from paths to rigged configurations by introducing local energy
distribution in crystal base theory. Combined with an earlier result on the
inverse map, it completes the crystal interpretation of the KKR bijection for
U_q(\hat{sl}_2). As an application, we solve an integrable cellular automaton,
a higher spin generalization of the periodic box-ball system, by an inverse
scattering method and obtain the solution of the initial value problem in terms
of the ultradiscrete Riemann theta function.
| math.QA math-ph math.MP nlin.SI | we reformulate the kerovkirillovreshetikhin kkr map in the combinatorial bethe ansatz from paths to rigged configurations by introducing local energy distribution in crystal base theory combined with an earlier result on the inverse map it completes the crystal interpretation of the kkr bijection for u_qhatsl_2 as an application we solve an integrable cellular automaton a higher spin generalization of the periodic boxball system by an inverse scattering method and obtain the solution of the initial value problem in terms of the ultradiscrete riemann theta function | [['we', 'reformulate', 'the', 'kerovkirillovreshetikhin', 'kkr', 'map', 'in', 'the', 'combinatorial', 'bethe', 'ansatz', 'from', 'paths', 'to', 'rigged', 'configurations', 'by', 'introducing', 'local', 'energy', 'distribution', 'in', 'crystal', 'base', 'theory', 'combined', 'with', 'an', 'earlier', 'result', 'on', 'the', 'inverse', 'map', 'it', 'completes', 'the', 'crystal', 'interpretation', 'of', 'the', 'kkr', 'bijection', 'for', 'u_qhatsl_2', 'as', 'an', 'application', 'we', 'solve', 'an', 'integrable', 'cellular', 'automaton', 'a', 'higher', 'spin', 'generalization', 'of', 'the', 'periodic', 'boxball', 'system', 'by', 'an', 'inverse', 'scattering', 'method', 'and', 'obtain', 'the', 'solution', 'of', 'the', 'initial', 'value', 'problem', 'in', 'terms', 'of', 'the', 'ultradiscrete', 'riemann', 'theta', 'function']] | [-0.1224000003274448, 0.04323336874915506, -0.07271024841431747, 0.06815022147972793, -0.06609390202690574, -0.07347762476762427, 0.03790155499762691, 0.3165065574966481, -0.35094753626514885, -0.25203838097479414, 0.05670704700956669, -0.24203913518611123, -0.18698712144704427, 0.16694480719811777, -0.025895114308770964, 0.07667174836730256, 0.05123505100388737, 0.010946629637414041, -0.12364707409039565, -0.20278009143384063, 0.343584304959051, 0.06573554821148077, 0.2853439699858427, 0.008326044481466798, 0.14311869127456756, 0.10590021256905269, 0.018164642264737803, -0.032727974280714986, -0.1558055857388193, 0.10258671901983155, 0.23440398335018578, 0.07982917243395658, 0.16357154584325412, -0.42342218331554354, -0.1673919954282396, 0.09256327650235856, 0.1477993429693229, 0.11241030662375338, 0.0011021234766196678, -0.2785799131016521, 0.026844058207729282, -0.18821854490567655, -0.22557354570530794, -0.03911246207597501, 0.007728831004351377, 0.004204525119241546, -0.2589639893678181, 0.04065618907402763, 0.06764742946252227, 0.06905663583294132, -0.154238682229291, -0.1220193832879886, 0.0012075977619079982, 0.04586924280533019, -0.0050162454450722125, 0.09030320452635779, 0.055594449168454636, -0.1218491211095277, -0.14058822740198057, 0.339089694443871, -0.040551567283075525, -0.2618267493459451, 0.10133705455535913, -0.06694757723632981, -0.12465602738563629, 0.1546010515652597, 0.07832837041111335, 0.12076932765981731, -0.14248128079994143, 0.15412595471408327, -0.12869843926061603, 0.12594722350785398, 0.10705868043005466, -0.04504808266921079, 0.1685124635723803, 0.1339691960663699, 0.10916349835255566, 0.1987340055844363, -0.014640797545914264, -0.12141829150153653, -0.2856111515970791, -0.1703185067477855, -0.20709930697236867, 0.11526975357795463, -0.11910084872489439, -0.21216844026656712, 0.3740953558946357, 0.10387834038256723, 0.1717115894288701, 0.07475257229936473, 0.2007568139966358, 0.19896734438713312, 0.02147570107036325, -0.018983475633842103, 0.1447532288456226, 0.2083165251184255, 0.08513902223614209, -0.2659988434971584, -0.037224683595602125, 0.22716545699273838] |
708.3288 | The probability of inflation in Loop Quantum Cosmology | The probability of there being sufficient inflation to solve the fine-tuning
associated with the horizon and flatness problems has recently been shown to be
exponentially small, within the context of classical general relativity. Here
this result is extended by considering loop quantum gravity effects, that are
significant at small scales. In addition to accounting for high-energy
departures from classicality, it is shown that, in contrast to the classical
case, the loop quantum cosmological probability measure is naturally finite, at
least in some well defined region. It is also shown that these loop quantum
gravity corrections can overcome the classical suppression of the probability
only for extremely unnatural choices of ambiguity parameters, implying that
single field, slow-roll inflation is exponentially unlikely.
| gr-qc | the probability of there being sufficient inflation to solve the finetuning associated with the horizon and flatness problems has recently been shown to be exponentially small within the context of classical general relativity here this result is extended by considering loop quantum gravity effects that are significant at small scales in addition to accounting for highenergy departures from classicality it is shown that in contrast to the classical case the loop quantum cosmological probability measure is naturally finite at least in some well defined region it is also shown that these loop quantum gravity corrections can overcome the classical suppression of the probability only for extremely unnatural choices of ambiguity parameters implying that single field slowroll inflation is exponentially unlikely | [['the', 'probability', 'of', 'there', 'being', 'sufficient', 'inflation', 'to', 'solve', 'the', 'finetuning', 'associated', 'with', 'the', 'horizon', 'and', 'flatness', 'problems', 'has', 'recently', 'been', 'shown', 'to', 'be', 'exponentially', 'small', 'within', 'the', 'context', 'of', 'classical', 'general', 'relativity', 'here', 'this', 'result', 'is', 'extended', 'by', 'considering', 'loop', 'quantum', 'gravity', 'effects', 'that', 'are', 'significant', 'at', 'small', 'scales', 'in', 'addition', 'to', 'accounting', 'for', 'highenergy', 'departures', 'from', 'classicality', 'it', 'is', 'shown', 'that', 'in', 'contrast', 'to', 'the', 'classical', 'case', 'the', 'loop', 'quantum', 'cosmological', 'probability', 'measure', 'is', 'naturally', 'finite', 'at', 'least', 'in', 'some', 'well', 'defined', 'region', 'it', 'is', 'also', 'shown', 'that', 'these', 'loop', 'quantum', 'gravity', 'corrections', 'can', 'overcome', 'the', 'classical', 'suppression', 'of', 'the', 'probability', 'only', 'for', 'extremely', 'unnatural', 'choices', 'of', 'ambiguity', 'parameters', 'implying', 'that', 'single', 'field', 'slowroll', 'inflation', 'is', 'exponentially', 'unlikely']] | [-0.11457334199318818, 0.18973844329205652, -0.09903599635775512, 0.16437190442423646, -0.05883561836866041, -0.18187974674122717, -0.028245913029725973, 0.32171625608073856, -0.2653759417589754, -0.2996096894533063, 0.09099349636041248, -0.21750937087150912, -0.13918967249725636, 0.18359143178289136, -0.11047442469304466, 0.07350043022694687, 0.048971062400960365, 0.06288183629900838, -0.03377114066388458, -0.260088646862035, 0.3375218351293976, 0.11809661658577776, 0.23132845959238088, 0.05274330150180807, 0.09100081131327897, -0.08252709679460773, 0.015006232189383203, 0.09269212008997177, -0.09008208526962941, 0.029259407610516062, 0.24661948230738442, 0.08847303314638945, 0.27667034865977863, -0.3841669096999491, -0.27898254617272567, 0.15111747802196382, 0.14682745869892339, 0.16710799789677064, -0.029411954828538, -0.2579674389970023, 0.10978308563741544, -0.1615536985065167, -0.13647539584975069, -0.06626075634849257, 0.037060175592584226, -0.08299469322664663, -0.26132891708208866, 0.08698993420475745, 0.0256068839119204, -0.032156241685152055, 0.01208838794264011, -0.056034785681792224, 0.019647796399658544, 0.0739154745087338, 0.1154153845020725, 0.06047260898631066, 0.10527297523804009, -0.1335454984160606, -0.1002621109286944, 0.4004487213989099, -0.061439558607526125, -0.17319216645943622, 0.16141784994009262, -0.20394145908843106, -0.14862266581815978, 0.12796278186142446, 0.07136554613243788, 0.09860328166590383, -0.12368045480689034, 0.17205224580393405, 0.01961320407523696, 0.14995964405922374, 0.1043704141532847, 0.07018933907626584, 0.24464092548781385, 0.09127649877142782, 0.08016954505971323, 0.09970831985410769, -0.06174451153153011, -0.19532217926850232, -0.3715588388654093, -0.1060040623890624, -0.16181828936096282, 0.06182580935613562, -0.1091961178190104, -0.15277742956750445, 0.3207642082396584, 0.15759418277739315, 0.17053735272881265, 0.05348059243988246, 0.2743745772944142, 0.15815853429715693, 0.099129608059593, 0.07029139984709522, 0.3057456869100861, 0.12043685312576903, 0.05716806129397203, -0.2319062942697201, 0.06129266446611534, 0.01611882819561288] |
708.3289 | Optimal stability estimate of the inverse boundary value problem by
partial measurements | In this work we establish log-type stability estimates for the inverse
potential and conductivity problems with partial Dirichlet-to-Neumann map,
where the Dirichlet data is homogeneous on the inaccessible part. This result,
to some extent, improves our former result on the partial data problem in which
log-log-type estimates were derived.
| math.AP | in this work we establish logtype stability estimates for the inverse potential and conductivity problems with partial dirichlettoneumann map where the dirichlet data is homogeneous on the inaccessible part this result to some extent improves our former result on the partial data problem in which loglogtype estimates were derived | [['in', 'this', 'work', 'we', 'establish', 'logtype', 'stability', 'estimates', 'for', 'the', 'inverse', 'potential', 'and', 'conductivity', 'problems', 'with', 'partial', 'dirichlettoneumann', 'map', 'where', 'the', 'dirichlet', 'data', 'is', 'homogeneous', 'on', 'the', 'inaccessible', 'part', 'this', 'result', 'to', 'some', 'extent', 'improves', 'our', 'former', 'result', 'on', 'the', 'partial', 'data', 'problem', 'in', 'which', 'loglogtype', 'estimates', 'were', 'derived']] | [-0.06508435092258211, -0.023399512055425013, -0.040939162770400245, 0.04066272553921278, -0.1276524581148156, -0.052455377042749704, 0.04210662461665212, 0.311772562487393, -0.32184579731820495, -0.25939589522170775, 0.20293374432307876, -0.30618890378700225, -0.12098790375439793, 0.2152735979429313, -0.08682917900459498, 0.09850121954722064, 0.08728706052203719, 0.019120800879080684, -0.04794065638122206, -0.2418211907984651, 0.3924114065510886, 0.014134949548360037, 0.24739030472059942, 0.10387241754832925, 0.042036400561468026, -0.007413971237838268, -0.06113845818885127, -0.02651152527910106, -0.22876199988211143, 0.13615119973986353, 0.2712851834046293, 0.04932733456014979, 0.23089844106259394, -0.3777548706120982, -0.2376232739271862, 0.11029900061156676, 0.10335853281525934, 0.08899786124452569, -0.007412535124173274, -0.3185134262454753, 0.08285505054708646, -0.06445328497841042, -0.14367826197448433, -0.029158030066411107, -0.033065245439279446, -0.007496015380174682, -0.3435156373307109, 0.15184453108385965, 0.11161172785321061, 0.05455758322828582, -0.1681556848676077, -0.14334705365555628, 0.048203502007170905, 0.10664307581716959, 0.04808444155817281, 0.027847294601236413, 0.053294395096600056, -0.09938722429797053, -0.04075346691343857, 0.310581687343668, -0.08023176121772552, -0.269893093129658, 0.1470724682333138, -0.16181126828970654, -0.14804798064335267, 0.0826487584723806, 0.14001326911075382, 0.13502016260611768, -0.15029191628706698, 0.11570223485361975, -0.10431135765143804, 0.13900266391016086, 0.06771198397844422, -0.018151944693253964, 0.04791863063084228, 0.13998028265350326, 0.15363157783844034, 0.15998824932897576, -0.028037409925339173, -0.05745125368085443, -0.28919973357447554, -0.11456149890638735, -0.17710410619192585, 0.053332180526031524, -0.09395324951602023, -0.16432567016810787, 0.34251581641788387, 0.1786630149854689, 0.22419400701337322, 0.08295925798094166, 0.27138712819741695, 0.16236295232938944, 0.002353444182294972, 0.04579742181552004, 0.20589687389485556, 0.14541363055171558, 0.1647455418026265, -0.20345214346651824, 0.058756249396092426, 0.10407095421485756] |
708.329 | The Centrality Dependence of Strange Baryon and Meson Production in
Cu+Cu and Au+Au sqrt(s_NN) = 200 GeV collisions | Transverse momentum spectra of Lambda and K0Short particles are presented for
Cu+Cu sqrt(s_NN) = 200 GeV collisions observed at STAR, and compared to Au+Au
measurements at the same energy. For both systems, a number of observables are
shown to increase at mid-rapidity (|y| < 0.5) with increasing centrality. These
are the integrated Lambda and K0Short yields, the integrated Lambda and K0Short
yields per participating nucleon, and mid-pT (1 GeV/c -> 4.5 GeV/c)
Lambda/KK0Short ratios. The RCP ratio is found to be higher for the Lambda
yields at mid-pT compared to the K0Short yields for both the Cu+Cu and Au+Au
data. In contrast, when similar numbers of participating nucleons are
considered for the Cu+Cu and Au+Au data, an indication of increased bulk
strangeness production and a higher mid-pT (1 -> 4.5 GeV/c) Lambda/K0Short
ratio are found, for Cu+Cu.
| nucl-ex | transverse momentum spectra of lambda and k0short particles are presented for cucu sqrts_nn 200 gev collisions observed at star and compared to auau measurements at the same energy for both systems a number of observables are shown to increase at midrapidity y 05 with increasing centrality these are the integrated lambda and k0short yields the integrated lambda and k0short yields per participating nucleon and midpt 1 gevc 45 gevc lambdakk0short ratios the rcp ratio is found to be higher for the lambda yields at midpt compared to the k0short yields for both the cucu and auau data in contrast when similar numbers of participating nucleons are considered for the cucu and auau data an indication of increased bulk strangeness production and a higher midpt 1 45 gevc lambdak0short ratio are found for cucu | [['transverse', 'momentum', 'spectra', 'of', 'lambda', 'and', 'k0short', 'particles', 'are', 'presented', 'for', 'cucu', 'sqrts_nn', '200', 'gev', 'collisions', 'observed', 'at', 'star', 'and', 'compared', 'to', 'auau', 'measurements', 'at', 'the', 'same', 'energy', 'for', 'both', 'systems', 'a', 'number', 'of', 'observables', 'are', 'shown', 'to', 'increase', 'at', 'midrapidity', 'y', '05', 'with', 'increasing', 'centrality', 'these', 'are', 'the', 'integrated', 'lambda', 'and', 'k0short', 'yields', 'the', 'integrated', 'lambda', 'and', 'k0short', 'yields', 'per', 'participating', 'nucleon', 'and', 'midpt', '1', 'gevc', '45', 'gevc', 'lambdakk0short', 'ratios', 'the', 'rcp', 'ratio', 'is', 'found', 'to', 'be', 'higher', 'for', 'the', 'lambda', 'yields', 'at', 'midpt', 'compared', 'to', 'the', 'k0short', 'yields', 'for', 'both', 'the', 'cucu', 'and', 'auau', 'data', 'in', 'contrast', 'when', 'similar', 'numbers', 'of', 'participating', 'nucleons', 'are', 'considered', 'for', 'the', 'cucu', 'and', 'auau', 'data', 'an', 'indication', 'of', 'increased', 'bulk', 'strangeness', 'production', 'and', 'a', 'higher', 'midpt', '1', '45', 'gevc', 'lambdak0short', 'ratio', 'are', 'found', 'for', 'cucu']] | [-0.07205387159830087, 0.25836604270643737, -0.10200488489505102, 0.11605710893574363, 0.0851192025908532, -0.12602498331142745, -0.10675573474700911, 0.35565266448236604, -0.1637500018194204, -0.3660055861047661, -0.12194163286578592, -0.4536699595797153, 0.18227281138293785, 0.1747574819241231, 0.07856074931768288, 0.06847544671356223, 0.12062083400842798, 0.05283773147664566, -0.03158616558257633, -0.1902615224004133, 0.224670376376256, 0.11950280359867989, 0.22045074081944147, 0.19053123712198425, 0.05842253947026231, 0.04432956398223022, -0.008891007370219516, 0.0315000988144911, -0.1595250753835128, 0.04595109618127609, 0.33525356024731207, 0.01821466981440441, 0.1175336899051002, -0.2568402757640672, -0.06990386492338117, 0.1312762121989868, 0.17878816713657203, 0.017550981539578837, -0.06484994520379928, -0.2223964040985203, 0.20229091005087013, -0.22227859270993536, -0.12643333189615993, -0.018525160123942463, 0.06659844109987598, 0.08861044824535724, -0.35333033915580686, 0.18911787679148767, -0.0289936795517916, 0.12587575266272796, -0.039921739147549484, -0.30618337233273585, -0.1253433729777866, -0.020400529002854315, 0.06563396766721377, 0.16198851057961014, 0.17816879356436374, -0.09883745274424752, -0.1268114826450025, 0.4264509087527981, 0.043349819860371355, -0.12567598458720755, 0.18183959282237952, -0.21622157917990711, -0.12450686111719213, 0.19353701496845155, 0.21585807989116843, 0.07335872589503876, -0.16607661990198672, -0.030934498193922615, 0.0074693109477578686, 0.2322881587599724, 0.146299114582335, 0.08941171236713026, 0.11035836044386144, 0.14929010984061272, -0.0015843574469553605, 0.0634969811276035, -0.13657972459745316, -0.08245868686735915, -0.3237251107161509, -0.09466663186832949, -0.05616936791254534, 0.0366109183363844, -0.1528383756815349, 0.06070251004945466, 0.294758659936772, 0.04179685945686607, 0.31823938069260815, 0.05755817313244893, 0.22702412869610633, 0.11190333455456207, 0.05425078099422896, 0.12305073900404208, 0.27931112360977034, 0.159361821867682, 0.283698855977477, -0.21332647746876734, 0.008821467337561131, -0.04105995766790086] |
708.3291 | Mass formula for strange baryons in large $N_c$ QCD versus quark model | A previous work establishing a connection between a quark model, with
relativistic kinematics and a $Y$-confinement plus one gluon exchange, and the
$1/N_c$ expansion mass formula is extended to strange baryons. Both methods
predict values for the SU(3)-breaking mass terms which are in good agreement
with each other. Strange and nonstrange baryons are shown to exhibit Regge
trajectories with an equal slope, but with an intercept depending on the
strangeness. Both approaches agree on the value of the slope and of the
intercept and on the existence of a single good quantum number labeling the
baryons within a given Regge trajectory.
| hep-ph | a previous work establishing a connection between a quark model with relativistic kinematics and a yconfinement plus one gluon exchange and the 1n_c expansion mass formula is extended to strange baryons both methods predict values for the su3breaking mass terms which are in good agreement with each other strange and nonstrange baryons are shown to exhibit regge trajectories with an equal slope but with an intercept depending on the strangeness both approaches agree on the value of the slope and of the intercept and on the existence of a single good quantum number labeling the baryons within a given regge trajectory | [['a', 'previous', 'work', 'establishing', 'a', 'connection', 'between', 'a', 'quark', 'model', 'with', 'relativistic', 'kinematics', 'and', 'a', 'yconfinement', 'plus', 'one', 'gluon', 'exchange', 'and', 'the', '1n_c', 'expansion', 'mass', 'formula', 'is', 'extended', 'to', 'strange', 'baryons', 'both', 'methods', 'predict', 'values', 'for', 'the', 'su3breaking', 'mass', 'terms', 'which', 'are', 'in', 'good', 'agreement', 'with', 'each', 'other', 'strange', 'and', 'nonstrange', 'baryons', 'are', 'shown', 'to', 'exhibit', 'regge', 'trajectories', 'with', 'an', 'equal', 'slope', 'but', 'with', 'an', 'intercept', 'depending', 'on', 'the', 'strangeness', 'both', 'approaches', 'agree', 'on', 'the', 'value', 'of', 'the', 'slope', 'and', 'of', 'the', 'intercept', 'and', 'on', 'the', 'existence', 'of', 'a', 'single', 'good', 'quantum', 'number', 'labeling', 'the', 'baryons', 'within', 'a', 'given', 'regge', 'trajectory']] | [-0.0829687410464976, 0.13786945597064915, -0.16107434288598596, 0.11523440670105628, -0.052746703922748564, -0.1437605335842818, 0.05957363712368533, 0.3222056927718222, -0.13501218191813677, -0.30125199681147935, -0.03596803205669857, -0.3407529692724347, -0.009472141670994461, 0.1266522659990005, 0.0009232414676807821, 0.06492753059967071, 0.04979679754236713, 0.11214281545486302, -0.06938463755417615, -0.209709651498124, 0.33236552545800807, 0.010045236138394103, 0.2086088133882731, 0.09748008050024509, 0.07244776486419141, 0.0036008546967059374, -0.016380513668991625, 0.003145778654143214, -0.11452996839769185, 0.08864911363460123, 0.15490309475630057, 0.011747869313694537, 0.182102511851117, -0.33109677908942103, -0.1670230939402245, 0.10114259526133537, 0.14613278590142728, 0.10789157068706118, -0.023872962173772976, -0.24952959223184734, 0.08554885423276573, -0.20173269785242154, -0.16623232424259185, -0.10258920902386308, 0.00751412361394614, 0.02282353609800339, -0.2997801482398063, 0.10382912576198577, -0.05797950580716133, 0.014880480907158926, -0.06361933483975007, -0.2061166387714911, -0.05323321278207004, 0.11608003315050155, 0.11784921542392113, 0.1262107611866668, 0.09924649950582534, -0.19732291039079428, -0.13258381119929255, 0.40558581897988916, -0.060397116541862486, -0.21935789730399846, 0.15257826269138605, -0.17075417988933622, -0.1248746093828231, 0.08960598349804058, 0.13849872530438007, 0.08661320303101093, -0.1239458899362944, 0.06162511331669521, -0.0757324863318354, 0.21032933282200247, 0.09348804130451754, 0.04458146726647101, 0.2572748133726418, 0.14418624475598335, -0.0327266646316275, 0.02021122412814293, -0.03944278260925785, -0.16684006053954362, -0.3388560938090086, -0.09567242061370053, -0.11326208810321986, 0.0052364054415375, -0.14047392005028086, -0.14692657720850547, 0.3600784717127681, 0.05722755018621683, 0.3170588772534393, 0.09802582901204004, 0.3363100390741602, 0.13052360135130583, 0.04010824045166373, 0.1269689729809761, 0.261203488484025, 0.21553778091445566, 0.10617432938423008, -0.2894387240987271, 0.038002013314981015, 0.07479002336040139] |
708.3292 | New results and Possibilities in K Physics | Several topics in the Kphysics together with the new facility J-Parc are
introduced.
| hep-ex | several topics in the kphysics together with the new facility jparc are introduced | [['several', 'topics', 'in', 'the', 'kphysics', 'together', 'with', 'the', 'new', 'facility', 'jparc', 'are', 'introduced']] | [-0.01664922929679354, 0.24329471495002508, -0.08520935607763629, 0.03703771671280265, -0.14362415857613087, -0.16788767805943886, -0.028759533849855263, 0.35905696265399456, -0.23118817538488656, -0.3325845369448264, 0.09031282795088676, -0.3812648185218374, -0.04551086605836948, 0.2783100452894966, -0.046140615517894425, 0.12245627158942322, 0.021750707101697724, 0.020292457193136215, -0.007451535978664954, -0.25587727983171743, 0.346534566488117, 0.19972881333281597, 0.23567138922711214, 0.12714567578708133, 0.06477221039434274, -0.07981129576122233, -0.12520919491847357, -0.04091221032043298, -0.0829219965574642, 0.1755662146024406, 0.3574897988388936, 0.21243655510867634, 0.2921518199145794, -0.4159203767776489, -0.16427898965775967, -0.005301609809976071, -0.01386930316220969, 0.023417707222203415, -0.12015942389067884, -0.3504330739378929, 0.008773965761065483, -0.17886954390754303, -0.15510002438289425, 0.007964918001865348, -0.11614467700322469, 0.1742415288463235, -0.20485773123800755, -0.15718177911670259, -0.07444230296338598, 0.08805603627115488, 0.005558583380964895, -0.28382682769248885, 0.14127965861310562, 0.08320295624434948, 0.05325482618839791, 0.1062687848849843, -0.018855822272598743, -0.12710811624613902, -0.19843985078235468, 0.4107275769735376, -0.001775957178324461, -0.08663472967843215, 0.1936870620896419, -0.17705830303020775, -0.21231118903961033, 0.05322580815603336, 0.17891634969661632, 0.09621231878797214, -0.25504189481337863, 0.02187493338715285, -0.040536779628988974, 0.041671965892116226, 0.09222968570732822, 0.0025502929153541722, 0.16707739202926555, 0.20553755418707928, 0.06958508910611272, 0.13141199791183075, -0.13404338589558998, -0.094795823097229, -0.3889959533698857, -0.10160134267061949, -0.02203842617260913, -0.15382586047053337, 0.09416318762426575, 0.027341875868539017, 0.4456079676747322, 0.10541086993180215, 0.23067043597499529, -0.08684577699750662, 0.21706176589941606, -0.045940001184741654, 0.10960516519844532, 0.014382881112396717, 0.18089034128934145, 0.12882546164716283, 0.21172741354287913, -0.16502006941785416, -0.028398071726163227, 0.06746127002406865] |
708.3293 | Continuous Opinion Dynamics: Insights through Interactive Markov Chains | We reformulate the agent-based opinion dynamics models of Weisbuch-Deffuant
and Hegselmann-Krause as interactive Markov chains. So we switch the scope from
a finite number of n agents to a finite number of n opinion classes. Thus, we
will look at an infinite population distributed to opinion classes instead of
agents with real number opinions. The interactive Markov chains show similar
dynamical behavior as the agent-based models: stabilization and clustering. Our
framework leads to a discrete bifurcation diagram for each model which gives a
good view on the driving forces and the attractive states of the system. The
analysis shows that the emergence of minor clusters in the Weisbuch-Deffuant
model and of meta-stable states with very slow convergence to consensus in the
Hegselmann Krause model are intrinsic to the dynamical behavior.
| physics.soc-ph | we reformulate the agentbased opinion dynamics models of weisbuchdeffuant and hegselmannkrause as interactive markov chains so we switch the scope from a finite number of n agents to a finite number of n opinion classes thus we will look at an infinite population distributed to opinion classes instead of agents with real number opinions the interactive markov chains show similar dynamical behavior as the agentbased models stabilization and clustering our framework leads to a discrete bifurcation diagram for each model which gives a good view on the driving forces and the attractive states of the system the analysis shows that the emergence of minor clusters in the weisbuchdeffuant model and of metastable states with very slow convergence to consensus in the hegselmann krause model are intrinsic to the dynamical behavior | [['we', 'reformulate', 'the', 'agentbased', 'opinion', 'dynamics', 'models', 'of', 'weisbuchdeffuant', 'and', 'hegselmannkrause', 'as', 'interactive', 'markov', 'chains', 'so', 'we', 'switch', 'the', 'scope', 'from', 'a', 'finite', 'number', 'of', 'n', 'agents', 'to', 'a', 'finite', 'number', 'of', 'n', 'opinion', 'classes', 'thus', 'we', 'will', 'look', 'at', 'an', 'infinite', 'population', 'distributed', 'to', 'opinion', 'classes', 'instead', 'of', 'agents', 'with', 'real', 'number', 'opinions', 'the', 'interactive', 'markov', 'chains', 'show', 'similar', 'dynamical', 'behavior', 'as', 'the', 'agentbased', 'models', 'stabilization', 'and', 'clustering', 'our', 'framework', 'leads', 'to', 'a', 'discrete', 'bifurcation', 'diagram', 'for', 'each', 'model', 'which', 'gives', 'a', 'good', 'view', 'on', 'the', 'driving', 'forces', 'and', 'the', 'attractive', 'states', 'of', 'the', 'system', 'the', 'analysis', 'shows', 'that', 'the', 'emergence', 'of', 'minor', 'clusters', 'in', 'the', 'weisbuchdeffuant', 'model', 'and', 'of', 'metastable', 'states', 'with', 'very', 'slow', 'convergence', 'to', 'consensus', 'in', 'the', 'hegselmann', 'krause', 'model', 'are', 'intrinsic', 'to', 'the', 'dynamical', 'behavior']] | [-0.1403184330377441, 0.11966727317698174, -0.12250003333454235, 0.0842813012870745, -0.06095033877421743, -0.1508052552781569, 0.08577873425002998, 0.36658588361281613, -0.27589650833262847, -0.2944820658267977, 0.057023918401234996, -0.2659418481043898, -0.14125541908881412, 0.10349105345264364, -0.031626164956161607, 0.021608612697141674, 0.04830082215082187, 0.05724537945531595, 0.04909628333989531, -0.26143912568401834, 0.2796800399423004, 0.009890989759095156, 0.26494045814212697, -0.020352700574753375, 0.10359978704140163, 0.012041578190669847, 0.035491888164184415, 0.032612042075309614, -0.12854226344257208, 0.08194978863779957, 0.2510137648060313, 0.11260254601142011, 0.3310407854509182, -0.4042722472634453, -0.19610186914841715, 0.13129877215609528, 0.17288995089654166, 0.16171458915341647, -0.0037617442708534118, -0.32023438698110673, 0.05320189531462697, -0.2149096528104005, -0.13710573958233, -0.06391200555775028, 0.01642457299435941, 0.08264832934722878, -0.2571764539569043, 0.0294557475986389, 0.08866170785309245, 0.08913474936539736, -0.07037404214676757, -0.07524047401429225, -0.026419930260341902, 0.14882445696812982, 0.03808105289667415, -0.029427542637747068, 0.12840540157989241, -0.1409945778683043, -0.15694951041100116, 0.35277235367550297, -0.06041466490132734, -0.1781806361227959, 0.2511142273917078, -0.09300412504145732, -0.17639714694367006, 0.10022684517674721, 0.1862205042056023, 0.08085647905245423, -0.11110733413638976, 0.05551385150040285, -0.05762874395944751, 0.18707365522770067, -0.03971656889368135, -0.012366545332882267, 0.1883912795008375, 0.20634945206200847, 0.08210293587583761, 0.14349464057819344, -0.0030442520823831167, -0.22802680439423195, -0.25311626651539254, -0.11813011998758437, -0.1390990505944221, 0.0482378583911878, -0.1275154915812891, -0.19911688453553675, 0.3857100004903399, 0.1548792558722198, 0.2142830897230082, 0.12126634016973324, 0.23356276110101204, 0.05817030931088644, -0.009815737347190196, 0.05991253405093001, 0.14835951615554782, 0.1071371839238474, 0.10022232873866764, -0.22114838145207613, 0.09618253530576253, 0.08381324810190843] |
708.3294 | Optical colours of AGN in the Extended Chandra Deep Field South:
Obscured black holes in early type galaxies | We investigate the optical colours of X-ray sources from the Extended Chandra
Deep Field South (ECDFS) using photometry from the COMBO-17 survey, aiming to
explore AGN - galaxy feedback models. The X-ray sources populate both the
``blue'' and the ``red sequence'' on the colour-magnitude diagram. However,
sources in the ``red sequence'' appear systematically more obscured. HST
imaging from the GEMS survey demonstrates that the nucleus does not affect
significantly the observed colours, and therefore red sources are early-type
systems. In the context of AGN feedback models, this means that there is still
remaining material after the initial ``blowout''. We argue that this material
could not be only left-over from the original merger, but a secondary cold gas
supplier (such as minor interactions or self-gravitational instabilities) must
also assist.
| astro-ph | we investigate the optical colours of xray sources from the extended chandra deep field south ecdfs using photometry from the combo17 survey aiming to explore agn galaxy feedback models the xray sources populate both the blue and the red sequence on the colourmagnitude diagram however sources in the red sequence appear systematically more obscured hst imaging from the gems survey demonstrates that the nucleus does not affect significantly the observed colours and therefore red sources are earlytype systems in the context of agn feedback models this means that there is still remaining material after the initial blowout we argue that this material could not be only leftover from the original merger but a secondary cold gas supplier such as minor interactions or selfgravitational instabilities must also assist | [['we', 'investigate', 'the', 'optical', 'colours', 'of', 'xray', 'sources', 'from', 'the', 'extended', 'chandra', 'deep', 'field', 'south', 'ecdfs', 'using', 'photometry', 'from', 'the', 'combo17', 'survey', 'aiming', 'to', 'explore', 'agn', 'galaxy', 'feedback', 'models', 'the', 'xray', 'sources', 'populate', 'both', 'the', 'blue', 'and', 'the', 'red', 'sequence', 'on', 'the', 'colourmagnitude', 'diagram', 'however', 'sources', 'in', 'the', 'red', 'sequence', 'appear', 'systematically', 'more', 'obscured', 'hst', 'imaging', 'from', 'the', 'gems', 'survey', 'demonstrates', 'that', 'the', 'nucleus', 'does', 'not', 'affect', 'significantly', 'the', 'observed', 'colours', 'and', 'therefore', 'red', 'sources', 'are', 'earlytype', 'systems', 'in', 'the', 'context', 'of', 'agn', 'feedback', 'models', 'this', 'means', 'that', 'there', 'is', 'still', 'remaining', 'material', 'after', 'the', 'initial', 'blowout', 'we', 'argue', 'that', 'this', 'material', 'could', 'not', 'be', 'only', 'leftover', 'from', 'the', 'original', 'merger', 'but', 'a', 'secondary', 'cold', 'gas', 'supplier', 'such', 'as', 'minor', 'interactions', 'or', 'selfgravitational', 'instabilities', 'must', 'also', 'assist']] | [-0.02496841188046282, 0.1103441366287843, -0.12010491331608408, 0.12271060129007925, -0.13088952012242763, -0.05371341586303641, 0.0710603602278215, 0.48328407519445643, -0.17755307955300714, -0.31441104861607, 0.08411657905726745, -0.3224996879374183, -0.08601704220228835, 0.17928156699420605, -0.07857339488577068, -0.08966030200804019, 0.07777031191247039, -0.11370373456775555, 0.011577606278170985, -0.3045713612039786, 0.29861456476239945, 0.050653709771293104, 0.17898243458164254, -0.07342515771333852, 0.058222028371826634, -0.0648712614371522, -0.11164021706501917, -0.013830701921384518, -0.10966627828232113, -0.0014028808035095788, 0.25788088428209704, 0.1498073326592429, 0.25900655594016386, -0.37324351691237584, -0.23848797892051654, 0.11312488783297577, 0.2467931900650087, 0.07885093549559788, -0.09971860159836127, -0.26563389882020005, 0.026558025195593322, -0.18687047550315403, -0.14241679130107399, 0.06578097549655776, -0.0325846120771974, 0.052802857479423614, -0.1710665031807409, 0.09095628080980332, 0.026086467032240133, 0.07029740439221908, -0.15771155066854195, -0.09606429567105892, -0.10950926514562424, 0.11011103307278314, -0.025988753859364375, 0.09313370913311135, 0.18460517550459293, -0.22330320402466525, -0.02113542937688295, 0.3889554308390054, 0.008470446839341967, 0.022809169676858844, 0.22880321074511825, -0.19656811482236375, -0.18921603710119297, 0.12438657093888486, 0.1472348640122869, 0.10225012698980766, -0.18280354422319123, 0.000386955190860615, -0.006777704106717128, 0.2614342552705074, 0.014152854318019208, 0.08022561120925797, 0.3477877926844077, 0.07956864839689219, 0.019256508108925104, 0.15879906474623653, -0.21239290092925095, -0.014281963779202362, -0.2335609238316107, -0.032996188664962865, -0.11800048112370602, 0.08502339857734013, -0.10508083318443566, -0.127082065327137, 0.32548688449640206, 0.14961747043513085, 0.16939806852005715, 0.006893540435565973, 0.3670672018733609, 0.05281727251461084, 0.15972639971337552, 0.08958452659673755, 0.3345267771061246, 0.11434475929424988, 0.09829026925208884, -0.23155492407042444, 0.06192044791991008, 0.003584904291879708] |
708.3295 | Recent progress on the manipulation of single atoms in optical tweezers
for quantum computing | This paper summarizes our recent progress towards using single rubidium atoms
trapped in an optical tweezer to encode quantum information. We demonstrate
single qubit rotations on this system and measure the coherence of the qubit.
We move the quantum bit over distances of tens of microns and show that the
coherence is reserved. We also transfer a qubit atom between two tweezers and
show no loss of coherence. Finally, we describe our progress towards
conditional entanglement of two atoms by photon emission and two-photon
interferences.
| quant-ph | this paper summarizes our recent progress towards using single rubidium atoms trapped in an optical tweezer to encode quantum information we demonstrate single qubit rotations on this system and measure the coherence of the qubit we move the quantum bit over distances of tens of microns and show that the coherence is reserved we also transfer a qubit atom between two tweezers and show no loss of coherence finally we describe our progress towards conditional entanglement of two atoms by photon emission and twophoton interferences | [['this', 'paper', 'summarizes', 'our', 'recent', 'progress', 'towards', 'using', 'single', 'rubidium', 'atoms', 'trapped', 'in', 'an', 'optical', 'tweezer', 'to', 'encode', 'quantum', 'information', 'we', 'demonstrate', 'single', 'qubit', 'rotations', 'on', 'this', 'system', 'and', 'measure', 'the', 'coherence', 'of', 'the', 'qubit', 'we', 'move', 'the', 'quantum', 'bit', 'over', 'distances', 'of', 'tens', 'of', 'microns', 'and', 'show', 'that', 'the', 'coherence', 'is', 'reserved', 'we', 'also', 'transfer', 'a', 'qubit', 'atom', 'between', 'two', 'tweezers', 'and', 'show', 'no', 'loss', 'of', 'coherence', 'finally', 'we', 'describe', 'our', 'progress', 'towards', 'conditional', 'entanglement', 'of', 'two', 'atoms', 'by', 'photon', 'emission', 'and', 'twophoton', 'interferences']] | [-0.12098593485322506, 0.20724302674523856, -0.019323472297914764, -0.02543954960317077, 0.06567886105793364, -0.17360576761557775, 0.09678796554559513, 0.504134242499576, -0.25193526100586444, -0.25510626966099476, -0.021353329752352747, -0.3114931874853723, -0.08326840286745744, 0.19994630356428816, -0.06133771051420755, 0.0792638082495507, 0.09951909195412607, 0.013777816435322165, -0.06067064198227051, -0.25715651053948985, 0.27871218036093254, 0.024729925799457465, 0.28726720365093034, 0.09402033177149646, 0.16588322165805627, 0.023334723626099087, 0.029574869562159566, -0.08896997991456267, -0.11301523396404638, 0.20053843474015592, 0.20566150501973052, 0.12248090765274623, 0.2676657653030227, -0.4760622609187575, -0.2131582549714949, 0.0638506764326902, 0.1663936542127939, 0.23135861391749452, -0.05182356146739467, -0.322368246722309, -0.050486971098272236, -0.1712699029046823, -0.0315925629426013, -0.1032628940363579, 0.024980361430960545, -0.008323783372693202, -0.20266909843639416, 0.023766998625839787, 0.07638009319437997, 0.10002908512730808, 0.018082992512020557, 0.005565948268015157, 0.06356348154847236, 0.1138989317778717, -0.07360210238188944, 0.041509308434529775, 0.18855880518608234, -0.08817847416571835, -0.1866441259270205, 0.320094221874195, -0.09277696730911403, -0.13187552531633306, 0.1410898964961662, -0.1688151672044221, -0.0697857615264023, 0.06658217579345493, 0.1415939966435818, 0.11374846951529274, -0.12911617490736876, -0.02313954436001094, -0.03342914922875078, 0.25460000085260936, 0.12541498169029022, 0.2005769856589134, 0.23261395183337086, 0.14567919976680593, 0.07958801008541794, 0.22606081472819342, -0.16200634244665066, -0.12340728958301685, -0.30050901779357125, -0.21955045507125118, -0.2324271971880294, 0.10490693290005712, -0.024933626206235633, -0.05435749470968457, 0.3938269750160329, 0.1849480753654943, 0.18715024111135042, 0.005786693118074361, 0.34823474014890105, 0.07401409243671771, 0.04759416837820454, 0.01601367960410083, 0.28970343854059194, 0.14808420811998932, 0.06612720443346702, -0.3114014420493999, -0.01383810193853124, -0.022186334442128152] |
708.3296 | Observation of strong-coupling effects in a diluted magnetic
semiconductor (Ga,Fe)N | A direct observation of the giant Zeeman splitting of the free excitons in
(Ga,Fe)N is reported. The magnetooptical and magnetization data imply the
ferromagnetic sign and a reduced magnitude of the effective p-d exchange energy
governing the interaction between Fe^{3+} ions and holes in GaN, N_0 beta^(app)
= +0.5 +/- 0.2 eV. This finding corroborates the recent suggestion that the
strong p-d hybridization specific to nitrides and oxides leads to significant
renormalization of the valence band exchange splitting.
| cond-mat.mtrl-sci | a direct observation of the giant zeeman splitting of the free excitons in gafen is reported the magnetooptical and magnetization data imply the ferromagnetic sign and a reduced magnitude of the effective pd exchange energy governing the interaction between fe3 ions and holes in gan n_0 betaapp 05 02 ev this finding corroborates the recent suggestion that the strong pd hybridization specific to nitrides and oxides leads to significant renormalization of the valence band exchange splitting | [['a', 'direct', 'observation', 'of', 'the', 'giant', 'zeeman', 'splitting', 'of', 'the', 'free', 'excitons', 'in', 'gafen', 'is', 'reported', 'the', 'magnetooptical', 'and', 'magnetization', 'data', 'imply', 'the', 'ferromagnetic', 'sign', 'and', 'a', 'reduced', 'magnitude', 'of', 'the', 'effective', 'pd', 'exchange', 'energy', 'governing', 'the', 'interaction', 'between', 'fe3', 'ions', 'and', 'holes', 'in', 'gan', 'n_0', 'betaapp', '05', '02', 'ev', 'this', 'finding', 'corroborates', 'the', 'recent', 'suggestion', 'that', 'the', 'strong', 'pd', 'hybridization', 'specific', 'to', 'nitrides', 'and', 'oxides', 'leads', 'to', 'significant', 'renormalization', 'of', 'the', 'valence', 'band', 'exchange', 'splitting']] | [-0.1604914477467537, 0.18374299563467503, 0.031779240317021805, 0.07500755038112401, -0.022668483157952626, -0.11957894641906024, 0.12526298185965667, 0.3941122730076313, -0.2450716538478931, -0.3683420493205388, -0.08345168927994867, -0.3554104295372963, -0.05811224600300193, 0.11254800533254941, 0.07707183157404264, -0.06371402699500323, 0.0308223619684577, -0.07998671551545461, -0.1179827187800159, -0.17097676893075306, 0.2809406863634164, 0.04029226707915465, 0.3121840472271045, 0.1650335520505905, 0.008862826478046676, 0.02675530604707698, 0.10806472205867369, -0.024350729895134766, -0.1391445625112586, 0.13168062202011546, 0.2478040676447563, -0.11106092915715028, 0.2374717428162694, -0.401079756009082, -0.16999231201907, -0.0011901640767852466, 0.10930788117150465, 0.15155122632781665, -0.13406584333628416, -0.2626660959670941, 0.025961055271327495, -0.16287284780914585, -0.08377117733160655, -0.038792306116471685, 0.011909215946992239, -0.01812782393147548, -0.2954196038469672, 0.13553225677266406, 0.08288319860895475, 0.06616657325377066, -0.11956594213843345, -0.18507668434331814, -0.12337361214061578, 0.03485086200758815, 0.1218823664728552, 0.06507036217177907, 0.14065711331864197, -0.06709292087393502, -0.1076705393443505, 0.35627517122775315, -0.09101241788516443, -0.024347163141161823, 0.17415984852239488, -0.19896249923855067, -0.037731492643555006, 0.19773064518968264, 0.0804202014952898, 0.10894552875310183, -0.0973396002749602, 0.09908819053011636, 0.022938807445267835, 0.2138717888544003, 0.034936487997571625, 0.05121567513793707, 0.19645469437042873, 0.15163588837720454, 0.055390698835253716, 0.06274285322676103, -0.13170934145649274, -0.08487788904147843, -0.17036723063327372, -0.2003140671714209, -0.22518774734809996, 0.1165566166676581, -0.13379258564091287, -0.15129031330967943, 0.39027446137741206, 0.12208182899300785, 0.18524605100353558, -0.11233166414002578, 0.21959096994508095, 0.12460698241678377, 0.10805217407643795, -0.004766444284468889, 0.3177441980441411, 0.19549965787058074, 0.12467873411873977, -0.3474302888227006, 0.07391577559368064, 0.01162481566425413] |
708.3297 | Cosmological and phenomenological consequences of string theories | The Standard Model is the low-energy limit of a microscopic theory which
includes extra dimensions and new symmetries. A part of my thesis consisted in
constructing a new class of models with two extra dimensions. We showed that
these models can drive a dynamical symmetry breaking in four dimensions. In
particular, they are dual to models with four fermions which need a
non-perturbative treatment. We also studied supersymmetry and its local
version, supergravity, in string theory inspired models with ten dimensions.
Extra fields called moduli are present after dimensional reduction and are
generically flat directions of the total potential. We constructed a model of
stabilisation for the moduli in which the supersymmetry breaking yields a light
gravitino mass of order 10 TeV. The cosmological constant can be adjusted to be
very small. Such models exhibit a promising phenomenology.
| hep-th hep-ph | the standard model is the lowenergy limit of a microscopic theory which includes extra dimensions and new symmetries a part of my thesis consisted in constructing a new class of models with two extra dimensions we showed that these models can drive a dynamical symmetry breaking in four dimensions in particular they are dual to models with four fermions which need a nonperturbative treatment we also studied supersymmetry and its local version supergravity in string theory inspired models with ten dimensions extra fields called moduli are present after dimensional reduction and are generically flat directions of the total potential we constructed a model of stabilisation for the moduli in which the supersymmetry breaking yields a light gravitino mass of order 10 tev the cosmological constant can be adjusted to be very small such models exhibit a promising phenomenology | [['the', 'standard', 'model', 'is', 'the', 'lowenergy', 'limit', 'of', 'a', 'microscopic', 'theory', 'which', 'includes', 'extra', 'dimensions', 'and', 'new', 'symmetries', 'a', 'part', 'of', 'my', 'thesis', 'consisted', 'in', 'constructing', 'a', 'new', 'class', 'of', 'models', 'with', 'two', 'extra', 'dimensions', 'we', 'showed', 'that', 'these', 'models', 'can', 'drive', 'a', 'dynamical', 'symmetry', 'breaking', 'in', 'four', 'dimensions', 'in', 'particular', 'they', 'are', 'dual', 'to', 'models', 'with', 'four', 'fermions', 'which', 'need', 'a', 'nonperturbative', 'treatment', 'we', 'also', 'studied', 'supersymmetry', 'and', 'its', 'local', 'version', 'supergravity', 'in', 'string', 'theory', 'inspired', 'models', 'with', 'ten', 'dimensions', 'extra', 'fields', 'called', 'moduli', 'are', 'present', 'after', 'dimensional', 'reduction', 'and', 'are', 'generically', 'flat', 'directions', 'of', 'the', 'total', 'potential', 'we', 'constructed', 'a', 'model', 'of', 'stabilisation', 'for', 'the', 'moduli', 'in', 'which', 'the', 'supersymmetry', 'breaking', 'yields', 'a', 'light', 'gravitino', 'mass', 'of', 'order', '10', 'tev', 'the', 'cosmological', 'constant', 'can', 'be', 'adjusted', 'to', 'be', 'very', 'small', 'such', 'models', 'exhibit', 'a', 'promising', 'phenomenology']] | [-0.12719938405991896, 0.20668920994722756, -0.0698976475758937, 0.09558280726322783, -0.07438905279327562, -0.177485004554172, -0.02434024323736304, 0.3325778136562988, -0.204049998867339, -0.319523454781291, 0.10546898457940425, -0.23127427165383013, -0.14667024853490834, 0.13450781692939717, -0.04423398663546296, 0.024631631166245654, 0.00021698599870222202, 0.0058347127953733225, -0.07569781170931875, -0.30144995791108714, 0.3129641579808262, 0.013644969347270502, 0.23661428832185818, 0.03366795243135235, 0.10374222436001983, -0.04502220716634495, -0.006758780481860689, 0.03640788637668542, -0.10031847146440312, 0.15118972490123217, 0.19585378602254344, 0.04073023686752371, 0.16603281456923139, -0.4129270583094246, -0.2681077923828169, 0.12110374885462764, 0.1390684445209774, 0.18255235946592133, -0.05808542249386833, -0.24358452702669994, 0.07633399808833348, -0.1848381801771567, -0.17729341463806728, -0.10130767935239103, -0.020042880144699113, -0.08751461542872847, -0.2626210560193758, 0.07363270064187405, 0.011967769628044798, 0.042758284600627056, -0.06835618275437046, -0.09319700636104614, -0.058611322363055704, 0.03901942035831187, 0.11719477336273353, 0.012331110232955089, 0.07971470315174699, -0.17622375041584903, -0.1502230173935169, 0.39443108194467164, -0.07800192213144855, -0.20875645827238812, 0.20108031290768902, -0.07993541867472231, -0.1936458110390906, 0.10421612353968447, 0.164434671727603, 0.12896234500289394, -0.14235082808337882, 0.17740420426749895, -0.022232411582819255, 0.17362695368870662, 0.06047536694255752, 0.047905476483772844, 0.25511809519451595, 0.1801285084110914, 0.011413131708505334, 0.10673273826672601, -0.04766643935801002, -0.13107707189139572, -0.41127104208926146, -0.11791796351283573, -0.07962361986215725, 0.09267537455087986, -0.11843844562858778, -0.13572411874201204, 0.4196543748477015, 0.11528548234997762, 0.2182265047112183, 0.03760529091105918, 0.2143391471936543, 0.08889270660280169, 0.11590266062041232, 0.04344656087451385, 0.2516812161589716, 0.08523796081704937, 0.06388396715772325, -0.15638797667149143, -0.08945773415388944, 0.12913805541946835] |
708.3298 | Collapse times for attractive Bose-Einstein condensates | We argue that the main mechanism for condensate collapse in an attractive
Bose-Einstein condensate is the loss of coherence between atoms a finite
distance apart, rather than the growth of the occupation number in
noncondensate modes. Since the former mechanism is faster than the latter by a
factor of approximately 3/2, this helps to dispel the apparent failure of field
theoretical models in predicting the collapse time of the condensate.
| cond-mat.other | we argue that the main mechanism for condensate collapse in an attractive boseeinstein condensate is the loss of coherence between atoms a finite distance apart rather than the growth of the occupation number in noncondensate modes since the former mechanism is faster than the latter by a factor of approximately 32 this helps to dispel the apparent failure of field theoretical models in predicting the collapse time of the condensate | [['we', 'argue', 'that', 'the', 'main', 'mechanism', 'for', 'condensate', 'collapse', 'in', 'an', 'attractive', 'boseeinstein', 'condensate', 'is', 'the', 'loss', 'of', 'coherence', 'between', 'atoms', 'a', 'finite', 'distance', 'apart', 'rather', 'than', 'the', 'growth', 'of', 'the', 'occupation', 'number', 'in', 'noncondensate', 'modes', 'since', 'the', 'former', 'mechanism', 'is', 'faster', 'than', 'the', 'latter', 'by', 'a', 'factor', 'of', 'approximately', '32', 'this', 'helps', 'to', 'dispel', 'the', 'apparent', 'failure', 'of', 'field', 'theoretical', 'models', 'in', 'predicting', 'the', 'collapse', 'time', 'of', 'the', 'condensate']] | [-0.14693990517158195, 0.19897988386240156, -0.09062287187469857, 0.10544543046271429, 3.446299316627639e-05, -0.09181305548575308, 0.06497859771230391, 0.3196589492194887, -0.2187986780756286, -0.26837734790918016, 0.01353503042067002, -0.2575584520718881, -0.06305335130808609, 0.13400811355427972, 0.00911649651825428, -0.006140398866097842, -0.010921883849161013, 0.05015267406457237, -0.05998079555574805, -0.2570612562554223, 0.3424006815401039, 0.07277962822200996, 0.3071315798908472, 0.06573425251990557, 0.039810373920149036, -0.021330423074375306, 0.04792467575254185, -0.0391850492584386, -0.10740644497782341, 0.09303180065804294, 0.1513554493787004, 0.09844205770641565, 0.33120046997708935, -0.4434061720967293, -0.20310604196648846, 0.12263321981299669, 0.19959135172622544, 0.1898904892549451, -0.02561983820050955, -0.2407531401142478, 0.007633480469563178, -0.16917903936201972, -0.16317085098874357, -0.00887441828048655, 0.0949923869538387, -0.01936613759940623, -0.24513951649091073, 0.16289795958603334, 0.10942859576482858, 0.02234906938725284, -0.06279346410717283, -0.0610542384508465, -0.003154673573694059, 0.03272197752791856, 0.08213318355514534, 0.05901826875217791, 0.11763380335510841, -0.1901870878113966, -0.06175305601209402, 0.4039660817810467, -0.08506773554129593, -0.10965536902658642, 0.1763927197482969, -0.17578190811909736, -0.005745362703289305, 0.15955476666401538, 0.13031693707619393, 0.08763573579490185, -0.1135191418762718, -0.02320916462423546, -0.023772382350372417, 0.1896316623182169, 0.07538927209430507, 0.04863326702533024, 0.2585342772504581, 0.23016064475689615, 0.030388540787888423, 0.15636630844590918, -0.06341909521392414, -0.1652746330946684, -0.2868096138949373, -0.16804911543482115, -0.22018469815624744, 0.04417438276245126, -0.107425075869209, -0.1440105187041419, 0.3754924467631749, 0.16278648372473462, 0.23019323027027505, 0.04996910290792585, 0.3052742643015725, 0.11831193086691201, 0.11893319198861718, 0.0406308869764741, 0.287402834211077, 0.12525041248715882, 0.058729020905281815, -0.29501936845481397, 0.05974605882407299, 0.03000007395499519] |
708.3299 | The XMM-LSS catalogue: X-ray sources and associated optical data.
Version I | Following the presentation of the XMM-LSS X-ray source detection package by
Pacaud et al., we provide the source lists for the first 5.5 surveyed square
degrees. The catalogues pertain to the [0.5-2] and [2-10] keV bands and contain
in total 3385 point-like or extended sources above a detection likelihood of 15
in either band. The agreement with deep logN-logS is excellent. The main
parameters considered are position, countrate, source extent with associated
likelihood values. A set of additional quantities such as astrometric
corrections and fluxes are further calculated while errors on the position and
countrate are deduced from simulations. We describe the construction of the
band-merged catalogue allowing rapid sub-sample selection and easy
cross-correlation with external multi-wavelength catalogues. A small optical
CFHTLS multi-band subset of objects is associated wich each source along with
an X-ray/optical overlay. We make the full X-ray images available in FITS
format. The data are available at CDS and, in a more extended form, at the
Milan XMM-LSS database.
| astro-ph | following the presentation of the xmmlss xray source detection package by pacaud et al we provide the source lists for the first 55 surveyed square degrees the catalogues pertain to the 052 and 210 kev bands and contain in total 3385 pointlike or extended sources above a detection likelihood of 15 in either band the agreement with deep lognlogs is excellent the main parameters considered are position countrate source extent with associated likelihood values a set of additional quantities such as astrometric corrections and fluxes are further calculated while errors on the position and countrate are deduced from simulations we describe the construction of the bandmerged catalogue allowing rapid subsample selection and easy crosscorrelation with external multiwavelength catalogues a small optical cfhtls multiband subset of objects is associated wich each source along with an xrayoptical overlay we make the full xray images available in fits format the data are available at cds and in a more extended form at the milan xmmlss database | [['following', 'the', 'presentation', 'of', 'the', 'xmmlss', 'xray', 'source', 'detection', 'package', 'by', 'pacaud', 'et', 'al', 'we', 'provide', 'the', 'source', 'lists', 'for', 'the', 'first', '55', 'surveyed', 'square', 'degrees', 'the', 'catalogues', 'pertain', 'to', 'the', '052', 'and', '210', 'kev', 'bands', 'and', 'contain', 'in', 'total', '3385', 'pointlike', 'or', 'extended', 'sources', 'above', 'a', 'detection', 'likelihood', 'of', '15', 'in', 'either', 'band', 'the', 'agreement', 'with', 'deep', 'lognlogs', 'is', 'excellent', 'the', 'main', 'parameters', 'considered', 'are', 'position', 'countrate', 'source', 'extent', 'with', 'associated', 'likelihood', 'values', 'a', 'set', 'of', 'additional', 'quantities', 'such', 'as', 'astrometric', 'corrections', 'and', 'fluxes', 'are', 'further', 'calculated', 'while', 'errors', 'on', 'the', 'position', 'and', 'countrate', 'are', 'deduced', 'from', 'simulations', 'we', 'describe', 'the', 'construction', 'of', 'the', 'bandmerged', 'catalogue', 'allowing', 'rapid', 'subsample', 'selection', 'and', 'easy', 'crosscorrelation', 'with', 'external', 'multiwavelength', 'catalogues', 'a', 'small', 'optical', 'cfhtls', 'multiband', 'subset', 'of', 'objects', 'is', 'associated', 'wich', 'each', 'source', 'along', 'with', 'an', 'xrayoptical', 'overlay', 'we', 'make', 'the', 'full', 'xray', 'images', 'available', 'in', 'fits', 'format', 'the', 'data', 'are', 'available', 'at', 'cds', 'and', 'in', 'a', 'more', 'extended', 'form', 'at', 'the', 'milan', 'xmmlss', 'database']] | [-0.06830041224559492, 0.02765325274051492, -0.03091760117878252, 0.0944407063861159, -0.09862434918658784, -0.07799379865029528, 0.07524962528942176, 0.4711868882087278, -0.19261300330981612, -0.3925629082814227, 0.12068133513704747, -0.37240064279808677, 0.0007693201280486436, 0.21578167700697382, -0.035412837736837476, 0.007809013225383235, 0.09385493888812899, -0.044467684256457606, -0.03995981191020505, -0.24757184649754407, 0.24789395378787576, 0.11002504340222789, 0.23376501808776579, -0.03593121318543261, 0.07671048288322686, 0.025234204029986336, -0.14300740185412175, 0.0034530115515758273, -0.12315472731090805, 0.08619068991277873, 0.2605255728553015, 0.11236911534905192, 0.17658466265111425, -0.3105512552227779, -0.16793208639838095, 0.03566763142373896, 0.11385075512117948, 0.06242837299115634, -0.015583209310860206, -0.2941958839246244, 0.04351536503326102, -0.18249109560242183, -0.1433580935139347, -0.007694056695240929, 0.00984000004209969, 0.07871885904086535, -0.21855173956453341, 0.09172298816854801, -0.051325798195637304, 0.09572589214327802, -0.13599035470246304, -0.14917742876468204, -0.051330288347535204, 0.10978444593449778, -0.027990702916235653, 0.08972173231584882, 0.1068132953994252, -0.12914223747218695, -0.06445270971385014, 0.3784608601414265, -0.040451897888869784, -0.07079271532819364, 0.15060308867674552, -0.1213779710204467, -0.18110602389428948, 0.185248214389301, 0.14785675234146944, 0.06231943774611953, -0.20063874742625581, 0.04546350131550068, -0.023076279607693446, 0.2546825211216339, 0.04509706150080698, 0.054687782664620536, 0.2713498072842435, 0.078381881011466, 0.008593515122171354, 0.15827145400445586, -0.2470280891090321, 0.00451200185336437, -0.3364996575329303, -0.056084502149368984, -0.15703106913744347, 0.04072582387986282, -0.10952617871854597, -0.15556514625873039, 0.36963855282167823, 0.14562949883165183, 0.16329866002980667, 0.05296522707183972, 0.2908030431717634, 0.050950920949549915, 0.08494168947548549, 0.11058879877084199, 0.24272721255037152, 0.10594930325600284, 0.07963017344526532, -0.13449520594682932, 0.0232679186946494, -0.012498558586589808] |
708.33 | Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity | Starting from a knowledge of certain identities in the Lagrangian
description, the diffeomorphism transformations of metric and connection are
obtained for both the second order (metric) and the first order (Palatini)
formulations of gravity. The transformation laws of the connection and the
metric are derived independently in the Palatini formulation in contrast to the
metric formulation where the gauge variation of the connection is deduced from
the gauge variation of the metric.
| hep-th gr-qc | starting from a knowledge of certain identities in the lagrangian description the diffeomorphism transformations of metric and connection are obtained for both the second order metric and the first order palatini formulations of gravity the transformation laws of the connection and the metric are derived independently in the palatini formulation in contrast to the metric formulation where the gauge variation of the connection is deduced from the gauge variation of the metric | [['starting', 'from', 'a', 'knowledge', 'of', 'certain', 'identities', 'in', 'the', 'lagrangian', 'description', 'the', 'diffeomorphism', 'transformations', 'of', 'metric', 'and', 'connection', 'are', 'obtained', 'for', 'both', 'the', 'second', 'order', 'metric', 'and', 'the', 'first', 'order', 'palatini', 'formulations', 'of', 'gravity', 'the', 'transformation', 'laws', 'of', 'the', 'connection', 'and', 'the', 'metric', 'are', 'derived', 'independently', 'in', 'the', 'palatini', 'formulation', 'in', 'contrast', 'to', 'the', 'metric', 'formulation', 'where', 'the', 'gauge', 'variation', 'of', 'the', 'connection', 'is', 'deduced', 'from', 'the', 'gauge', 'variation', 'of', 'the', 'metric']] | [-0.14712232967010802, 0.0756154175388575, -0.12027474139661838, 0.08377346728391583, -0.10831394245097828, -0.08015234289147581, -0.01212424129092445, 0.29730305533545714, -0.2713576417041218, -0.3352443082775507, 0.07019708864552537, -0.2825008323416114, -0.20466498270009956, 0.07419054699130356, -0.07764033208756398, 0.020314765111025836, -0.02327512010298152, 0.10203543380420241, -0.16127126132293293, -0.20866483041188782, 0.40726595858318937, 0.02424438689680149, 0.27198090709538925, 0.013121813716780808, 0.16659902437822893, -0.03015555825550109, -0.07055810871275349, 0.06295565921916729, -0.10944651720476234, 0.13912503350163913, 0.18049966473416942, 0.12802376514042002, 0.17211372251363677, -0.3804883827817523, -0.22708957431475735, 0.04946103760610438, 0.02460265355734413, 0.09444682288449258, -0.004931990639306605, -0.32592659185562906, 0.03969147729609782, -0.12273084399445604, -0.0910992025973327, -0.04842780954721901, -0.019565294548455212, -0.035264087032474994, -0.2318812418767872, 0.03889933885284336, 0.0667519802486317, 0.01947216154076159, -0.14090851044359928, -0.0328751052923811, -0.037977839173335165, 0.13073573648903725, 0.14024616328727765, 0.09994125915303205, 0.05944946136636039, -0.12336882970864987, -0.07572812371654436, 0.47732803874856067, -0.10701713506973141, -0.27246993847398293, 0.13303054273193185, -0.13005619171437705, -0.15057305424448308, 0.048409680958785534, 0.12248541961889714, 0.17964305059932587, -0.19125167541723284, 0.17808460158105138, 0.005353157479678177, 0.06583533853861606, 0.11396013936286585, 0.03947070755788849, 0.1573386867530644, 0.033932756839527026, 0.06273277922688673, 0.10348325164522976, -0.013553603293581141, -0.18704089619374523, -0.4182496914226148, -0.1662081643525097, -0.16940693277865648, 0.03195864724047068, -0.20307221063093392, -0.12631237855465668, 0.3793258858430717, 0.1039523436791367, 0.14101878993420136, 0.12237876642676485, 0.22918776414978007, 0.14025283885550582, 0.04704410144929878, 0.02459129329589713, 0.2972496533766389, 0.2386583300669574, 0.08387012512927565, -0.2181095970675718, -0.017029925909203786, 0.1804151205578819] |
708.3301 | Cesaro's integral formula for the Bell numbers (corrected) | M. E. Cesaro (1885) gave a quite remarkable expression for the Bell number
--the number of partitions of an n-element set -- as a definite integral. This
note is an exposition, correcting a typographical error in the original.
| math.HO | m e cesaro 1885 gave a quite remarkable expression for the bell number the number of partitions of an nelement set as a definite integral this note is an exposition correcting a typographical error in the original | [['m', 'e', 'cesaro', '1885', 'gave', 'a', 'quite', 'remarkable', 'expression', 'for', 'the', 'bell', 'number', 'the', 'number', 'of', 'partitions', 'of', 'an', 'nelement', 'set', 'as', 'a', 'definite', 'integral', 'this', 'note', 'is', 'an', 'exposition', 'correcting', 'a', 'typographical', 'error', 'in', 'the', 'original']] | [-0.21286230448734117, 0.04920152236622557, -0.09810376778320484, 0.10118877031915896, -0.0484257722273469, -0.102768611565635, 0.05138243372375901, 0.27139764983911774, -0.21138607665823264, -0.3190690651535988, 0.04994316871995358, -0.29207267516569513, -0.12328627227327309, 0.1980630613397807, -0.18539218108698324, 0.027005563565605396, 0.0931083646326049, 0.09326312041564568, -0.07127316224363607, -0.3236290458589792, 0.2455439932606611, 0.076868446493471, 0.15353022447812395, -0.014186363288113294, 0.105084205071467, 0.034823868385944014, -0.05120928882545716, -0.004793536169706164, -0.1297782637128556, 0.1108284551599944, 0.2577666738825674, 0.15586456433693702, 0.33726772122286464, -0.31853261693204576, -0.06797111157730625, 0.1494639686535339, 0.13775527975647836, 0.07599684445036424, -0.054744147141841615, -0.27212128204268377, -0.00483512894149769, -0.18145097500166377, -0.11446243382335917, -0.03942356923141995, 0.16595204602423552, -0.0034065566252212266, -0.2916257382949462, 0.00899365930692167, 0.13948838113228212, 0.1354510915289457, 0.009117816310577296, -0.21863150037825108, 0.05409784168256698, 0.05915797630173934, -0.004631721068526039, 0.1029308548675397, -0.015407771878951305, -0.05832734255975968, -0.09853193034871004, 0.31483968845694454, 0.004309504368417972, -0.20000768518327056, 0.06344894883600441, -0.12946883159865802, -0.1346152426070861, 0.1793909285318207, 0.05143073762490137, 0.08685222283207081, -0.14573547828036384, 0.11884611814811423, -0.1873231538550966, 0.15217886059670835, 0.15090350122065158, 0.04686052719684872, 0.15223287418484688, 0.0872557557209999, 0.09124351116652424, 0.1810884087824741, -0.03646774056392747, 0.012532235928685279, -0.42133824995442015, -0.21928815553719933, -0.24649906994120493, 0.16632264802182042, -0.11618291673477034, -0.242223876503271, 0.3370231946779264, 0.0692405646314492, 0.20908025727682822, 0.1334860444421301, 0.20619152712862235, 0.10115380121459493, -0.02243202625981507, 0.043603647984816016, 0.10497251968528773, 0.1911629087014778, 0.04970474274375954, -0.16125371882289247, 0.06095095114732111, 0.1679984453713169] |
708.3302 | Universal behaviour of interfaces in 2d and dimensional reduction of
Nambu-Goto strings | We propose a simple effective model for the description of interfaces in 2d
statistical models, based on the first-order treatment of an action
corresponding to the length of the interface. The universal prediction of this
model for the interface free energy agrees with the result of an exact
calculation in the case of the 2d Ising model. This model appears as a
dimensional reduction of the Nambu-Goto stringy description of interfaces in
3d, i.e., of the capillary wave model.
| hep-th cond-mat.stat-mech hep-lat | we propose a simple effective model for the description of interfaces in 2d statistical models based on the firstorder treatment of an action corresponding to the length of the interface the universal prediction of this model for the interface free energy agrees with the result of an exact calculation in the case of the 2d ising model this model appears as a dimensional reduction of the nambugoto stringy description of interfaces in 3d ie of the capillary wave model | [['we', 'propose', 'a', 'simple', 'effective', 'model', 'for', 'the', 'description', 'of', 'interfaces', 'in', '2d', 'statistical', 'models', 'based', 'on', 'the', 'firstorder', 'treatment', 'of', 'an', 'action', 'corresponding', 'to', 'the', 'length', 'of', 'the', 'interface', 'the', 'universal', 'prediction', 'of', 'this', 'model', 'for', 'the', 'interface', 'free', 'energy', 'agrees', 'with', 'the', 'result', 'of', 'an', 'exact', 'calculation', 'in', 'the', 'case', 'of', 'the', '2d', 'ising', 'model', 'this', 'model', 'appears', 'as', 'a', 'dimensional', 'reduction', 'of', 'the', 'nambugoto', 'stringy', 'description', 'of', 'interfaces', 'in', '3d', 'ie', 'of', 'the', 'capillary', 'wave', 'model']] | [-0.11161288781728171, 0.07602789877402549, -0.07190573115573748, 0.05231692207847498, -0.0022636228064193, -0.12969548611229734, 0.00246339885494377, 0.2989133520499815, -0.2326401028711396, -0.2899389356327585, 0.02105424869245602, -0.24822427561105806, -0.15460143806530705, 0.18442026190636562, -0.002620995939190535, 0.06533629329332823, 0.015792879641433305, 0.08053537717537035, -0.09332615007422393, -0.14097092356061255, 0.29734598109027066, 0.08099169399047011, 0.3154886630186929, 0.07109184063310865, 0.099831517408543, 0.04204902076162398, 0.020612023464297947, 0.03287183872388699, -0.1787401686505049, 0.15887155565374259, 0.1883602902856217, 0.019134860456319926, 0.17663418461533287, -0.4524464266303974, -0.2615166621023341, 0.019052017480134964, 0.10337864218539075, 0.20669941140244466, -0.017821686682762884, -0.24085047300993406, 0.05711170376714649, -0.1887711605552254, -0.1354375779805587, -0.009965743102712404, -0.013804417103528976, -0.04299517330725359, -0.25597598935371335, 0.11700054914565297, 0.09345960915619153, 0.06533145647543141, -0.1314837859849198, -0.05064386330379904, -0.03384614917390709, 0.12011646645002161, 0.05229728377005675, 0.04647087720163827, 0.05913133063954832, -0.22900581044630114, -0.12387918122112751, 0.4333247911019982, -0.08049851792711246, -0.21586653161086614, 0.21926643551162245, -0.09435683382745785, -0.06649826653301716, 0.11824937122343462, 0.18861911312052154, 0.12856025769540308, -0.14619688081991258, 0.1393371207191597, -0.06589519553593083, 0.1636230255785852, -0.020967801632005956, -0.05244574361021006, 0.2024432739384378, 0.2269627295752775, 0.004442182275219054, 0.16773938481943518, -0.07855924529825113, -0.13405520277380756, -0.3745305498566809, -0.19621408666348486, -0.17229224922418407, 0.029773711121333115, -0.12776301541849028, -0.2792986575926689, 0.43170326165383377, 0.17473430441371224, 0.2109281582392375, 0.08132674958839824, 0.2878624533267715, 0.15787749869978834, 0.03836201782680199, 0.014215296632433427, 0.19420980725767492, 0.086898663342058, 0.04652186728943186, -0.22044955527032667, 0.01787861960621763, 0.1532933575843897] |
708.3303 | Influence of the L21 ordering degree on the magnetic properties in
Co2MnSi Heusler films | We report on the influence of the improved L21 ordering degree on the
magnetic properties of Co2MnSi Heusler films. Different fractions of the L21
phase are obtained by different post-growth annealing temperatures ranging from
350 degC to 500 degC. Room temperature magneto-optical Kerr effect measurements
reveal an increase of the coercivity at an intermediate annealing temperature
of 425 degC, which is a fingerprint of an increased number of pinning centers
at this temperature. Furthermore, Brillouin light scattering studies show that
the improvement of the L21 order in the Co2MnSi films is correlated with a
decrease of the saturation magnetization by about 9%. The exchange stiffness
constant of Co2MnSi, however, increases by about 8% when the L21 order is
improved. Moreover, we observe a drop of the cubic anisotropy constant K1 by a
factor of 10 for an increasing amount of the L21 phase.
| cond-mat.mtrl-sci | we report on the influence of the improved l21 ordering degree on the magnetic properties of co2mnsi heusler films different fractions of the l21 phase are obtained by different postgrowth annealing temperatures ranging from 350 degc to 500 degc room temperature magnetooptical kerr effect measurements reveal an increase of the coercivity at an intermediate annealing temperature of 425 degc which is a fingerprint of an increased number of pinning centers at this temperature furthermore brillouin light scattering studies show that the improvement of the l21 order in the co2mnsi films is correlated with a decrease of the saturation magnetization by about 9 the exchange stiffness constant of co2mnsi however increases by about 8 when the l21 order is improved moreover we observe a drop of the cubic anisotropy constant k1 by a factor of 10 for an increasing amount of the l21 phase | [['we', 'report', 'on', 'the', 'influence', 'of', 'the', 'improved', 'l21', 'ordering', 'degree', 'on', 'the', 'magnetic', 'properties', 'of', 'co2mnsi', 'heusler', 'films', 'different', 'fractions', 'of', 'the', 'l21', 'phase', 'are', 'obtained', 'by', 'different', 'postgrowth', 'annealing', 'temperatures', 'ranging', 'from', '350', 'degc', 'to', '500', 'degc', 'room', 'temperature', 'magnetooptical', 'kerr', 'effect', 'measurements', 'reveal', 'an', 'increase', 'of', 'the', 'coercivity', 'at', 'an', 'intermediate', 'annealing', 'temperature', 'of', '425', 'degc', 'which', 'is', 'a', 'fingerprint', 'of', 'an', 'increased', 'number', 'of', 'pinning', 'centers', 'at', 'this', 'temperature', 'furthermore', 'brillouin', 'light', 'scattering', 'studies', 'show', 'that', 'the', 'improvement', 'of', 'the', 'l21', 'order', 'in', 'the', 'co2mnsi', 'films', 'is', 'correlated', 'with', 'a', 'decrease', 'of', 'the', 'saturation', 'magnetization', 'by', 'about', '9', 'the', 'exchange', 'stiffness', 'constant', 'of', 'co2mnsi', 'however', 'increases', 'by', 'about', '8', 'when', 'the', 'l21', 'order', 'is', 'improved', 'moreover', 'we', 'observe', 'a', 'drop', 'of', 'the', 'cubic', 'anisotropy', 'constant', 'k1', 'by', 'a', 'factor', 'of', '10', 'for', 'an', 'increasing', 'amount', 'of', 'the', 'l21', 'phase']] | [-0.12941079737025907, 0.2391892076942946, -0.03050937007956363, -0.06774210621777049, -0.00418576098965494, -0.0644453094744651, 0.106673511927231, 0.41248561950218116, -0.26331350772635087, -0.3738091468967341, 0.1003543735161046, -0.34059355457450124, -0.038299989834479936, 0.19038749815590053, 0.039433879641835555, -0.0010042053360778552, -0.04207692407820556, -0.011911375976047134, -0.15843193606681913, -0.29165572407784657, 0.26249030911708837, 0.08267754023582057, 0.32324072203787785, 0.13263616884745766, 0.08887138869287772, -0.0037607012065843893, 0.10527143642359041, 0.036434499690165885, -0.18539481828099327, 0.03139800058638716, 0.1990672046631262, -0.08341035033556653, 0.21476299396449036, -0.38349826721852265, -0.20649970686909827, 0.021908820145991402, 0.08658891795626418, 0.10538465101141613, -0.0656550000771763, -0.19953119517076057, 0.10907358797250798, -0.09164582320802009, -0.1274606433478868, -0.058887551125086895, 0.0003573377193375067, -0.03463953814609302, -0.2555391383878366, 0.10901214472682483, 0.07616168321794146, 0.19433878579704494, -0.09923181317948535, -0.18144632510554332, -0.0822967837493007, 0.029375645552861172, 0.05275668202690988, 0.08080473205830146, 0.1870043866460088, -0.08950874675960782, -0.0786085064242874, 0.30933640553401065, -0.07444325164839677, 0.013630812837892062, 0.12456255885479334, -0.17783748925748197, -0.039379964358949957, 0.24676509706590039, 0.12772857248652858, 0.11149092182399822, -0.11548991381384878, 0.05772479132495143, 0.03499674727046094, 0.2682754265183544, 0.13060131825024743, 0.01622243620735313, 0.14396081306365924, 0.2064155509574925, 0.04251496845504621, 0.18716431426053698, -0.13345220449569445, -0.001006631765162924, -0.1865353191660561, -0.18104410059163933, -0.18046295122810072, 0.09815165991373881, -0.21507652574446756, -0.13246331005715406, 0.37344033357042533, 0.1439515454043354, 0.21971831449887136, -0.016866880676617936, 0.21250120168747186, 0.06649683923151188, 0.0787406694858886, 0.01910033051357637, 0.2644879299841196, 0.15655391354608786, 0.1532381846328507, -0.3068795477486235, 0.10051925537515093, -0.06838927687946837] |
708.3304 | Protected Rabi oscillation induced by natural interactions among
physical qubits | For a system composed of nine qubits, we show that natural interactions among
the qubits induce the time evolution that can be regarded, at discrete times,
as the Rabi oscillation of a logical qubit. Neither fine tuning of the
parameters nor switching of the interactions is necessary. Although
straightforward application of quantum error correction fails, we propose a
protocol by which the logical Rabi oscillation is protected against all
single-qubit errors. The present method thus opens a simple and realistic way
of protecting the unitary time evolution against noise.
| quant-ph | for a system composed of nine qubits we show that natural interactions among the qubits induce the time evolution that can be regarded at discrete times as the rabi oscillation of a logical qubit neither fine tuning of the parameters nor switching of the interactions is necessary although straightforward application of quantum error correction fails we propose a protocol by which the logical rabi oscillation is protected against all singlequbit errors the present method thus opens a simple and realistic way of protecting the unitary time evolution against noise | [['for', 'a', 'system', 'composed', 'of', 'nine', 'qubits', 'we', 'show', 'that', 'natural', 'interactions', 'among', 'the', 'qubits', 'induce', 'the', 'time', 'evolution', 'that', 'can', 'be', 'regarded', 'at', 'discrete', 'times', 'as', 'the', 'rabi', 'oscillation', 'of', 'a', 'logical', 'qubit', 'neither', 'fine', 'tuning', 'of', 'the', 'parameters', 'nor', 'switching', 'of', 'the', 'interactions', 'is', 'necessary', 'although', 'straightforward', 'application', 'of', 'quantum', 'error', 'correction', 'fails', 'we', 'propose', 'a', 'protocol', 'by', 'which', 'the', 'logical', 'rabi', 'oscillation', 'is', 'protected', 'against', 'all', 'singlequbit', 'errors', 'the', 'present', 'method', 'thus', 'opens', 'a', 'simple', 'and', 'realistic', 'way', 'of', 'protecting', 'the', 'unitary', 'time', 'evolution', 'against', 'noise']] | [-0.20087740657160455, 0.19003239469707348, -0.03148525569383892, 0.07288555935642609, -0.010219385214359238, -0.21932720577114084, 0.1019299447096968, 0.36557798518726, -0.2380361274052202, -0.31817695550787983, 0.06270769639254621, -0.17984193021410635, -0.1241202311906859, 0.2383270174516051, -0.048976215962948426, 0.06410146767294474, 0.07002543395364218, 0.0028123680130693685, -0.07667684344198095, -0.22616924332936159, 0.28776898455879324, 0.04131655877827552, 0.26292519956785304, -0.022555584799540177, 0.11610454734770602, -0.0004118962783701299, 0.0502056884422396, -0.033836723084226666, -0.051020272825144784, 0.052698748008337584, 0.22226055645582715, 0.10021715468904946, 0.25659279998266293, -0.4465043826782134, -0.18977779072573345, 0.10730986684832848, 0.1383441644930019, 0.23516524108414527, -0.03559952566211813, -0.3155703574963165, 0.028934468723195238, -0.17488978304795585, -0.10326982749720219, -0.1452040903981817, 0.02243140217419086, -0.03262768355145883, -0.2771822948197133, 0.0986506672931856, 0.07917360647508268, 0.030853486086210507, 0.008516386988457669, -0.004150894406419038, 0.00908796399768986, 0.1672617182517529, -0.043744029838256954, -0.004466761632173667, 0.16440155214284746, -0.030949680477359826, -0.15953518216906304, 0.38492891876801344, -0.07327631714209663, -0.1787165261051628, 0.14208241933014956, -0.07012796762472626, -0.09135639052210229, 0.07245736062694132, 0.08544890175500278, 0.05964868898592429, -0.15275569612767254, 0.07447474390030263, 0.025284581189828643, 0.25239868142924615, 0.03366227924112189, 0.11939271473524611, 0.18479492034491027, 0.1763280619830521, 0.10502419424023521, 0.12055538679352763, -0.06693024295669969, -0.10017376681109576, -0.34988841213537064, -0.12704061127654956, -0.18739862497398901, 0.10286308237870768, -0.04406470459545152, -0.17004008595360798, 0.4661084363299809, 0.16559077868122984, 0.1734852369853787, 0.04574416765257758, 0.32415880045194306, 0.09975404230474881, 0.10180810965555773, 0.060105976407949846, 0.22792684154982648, 0.13074373898849811, 0.013728451674406448, -0.2951040831551458, 0.09480612704090857, -0.0001179183508907811] |
708.3305 | The role of pressure anisotropy on the maximum mass of cold compact
stars | We study the physical features of a class of exact solutions for cold compact
anisotropic stars. The effect of pressure anisotropy on the maximum mass and
surface redshift is analysed in the Vaidya-Tikekar model. It is shown that
maximum compactness, redshift and mass increase in the presence of anisotropic
pressures; numerical values are generated which are in agreement with
observation.
| gr-qc | we study the physical features of a class of exact solutions for cold compact anisotropic stars the effect of pressure anisotropy on the maximum mass and surface redshift is analysed in the vaidyatikekar model it is shown that maximum compactness redshift and mass increase in the presence of anisotropic pressures numerical values are generated which are in agreement with observation | [['we', 'study', 'the', 'physical', 'features', 'of', 'a', 'class', 'of', 'exact', 'solutions', 'for', 'cold', 'compact', 'anisotropic', 'stars', 'the', 'effect', 'of', 'pressure', 'anisotropy', 'on', 'the', 'maximum', 'mass', 'and', 'surface', 'redshift', 'is', 'analysed', 'in', 'the', 'vaidyatikekar', 'model', 'it', 'is', 'shown', 'that', 'maximum', 'compactness', 'redshift', 'and', 'mass', 'increase', 'in', 'the', 'presence', 'of', 'anisotropic', 'pressures', 'numerical', 'values', 'are', 'generated', 'which', 'are', 'in', 'agreement', 'with', 'observation']] | [-0.1242026792509326, 0.1577998557748894, -0.056451212894171474, 0.0556285488147599, -0.09015090181492269, -0.04188069731462747, -0.009954122112443049, 0.4084079929937919, -0.1751546684342126, -0.32881457495192684, 0.08707943536768047, -0.30233599251757065, -0.05274520406189064, 0.2081718956702389, 0.005487111366043488, 0.0336836297280873, 0.05053725093603134, 0.011064961894104879, -0.08949645526930301, -0.2284059659577906, 0.3581330084726991, 0.06450111495020489, 0.2663620083903273, 0.052690827605935436, 0.06944094902137295, -0.09081198387236024, -0.015103985027720531, 0.08559754456703862, -0.18657069645960292, 0.037856591818854216, 0.21695115465360384, 0.03933158449168938, 0.203214061477532, -0.2912288649007678, -0.25572970202192663, 0.07771654805789391, 0.08377059640285249, 0.1022423133001818, -0.12030818169393266, -0.24154867830996712, 0.09063206285548707, -0.14945784301186602, -0.18386054074702163, -0.024881194857880474, 0.03513477885474761, 0.04865975404391065, -0.2863302684699496, 0.18326845194096678, 0.0324744296570619, 0.0369303906802088, -0.14674820204575856, -0.09037334180126587, -0.09233603457299372, 0.025006702612154187, 0.0759524773088439, 0.026543718580311786, 0.10323979763003686, -0.15293568847700953, 0.0005143258798246583, 0.3774684552413722, -0.0854050732217729, -0.13827871062870448, 0.1843859152693767, -0.18208616618067025, -0.11062799904805919, 0.1317873202962801, 0.19756554636017729, 0.11689972981500128, -0.13459711059307058, 0.06944708272931166, -0.03526138216257095, 0.17859549187123774, 0.063840883023416, 0.03847616397821791, 0.2509922391579797, 0.1460779280498779, 0.026478095368171733, 0.10468535074420894, -0.11671663637195404, -0.08091149013489485, -0.26661967306087414, -0.14552216574375051, -0.18642801803847153, 0.04099855417540918, -0.15917550673815034, -0.15362160167181477, 0.35200383321692547, 0.15854047642399868, 0.2092834504476438, 0.04051118698165131, 0.25488449235757193, 0.1355969948034423, 0.06488877707937112, 0.09874200060342748, 0.302203788033997, 0.1754674522516628, 0.034399667638354, -0.2635761088225991, 0.0689967542886734, 0.032184636360034345] |
708.3306 | Carlitz q-Bernoulli numbers and q-Stirling numbers | In this paper we consider carlitz q-Bernoulli numbers and q-stirling numbers
of the first and the second kind. From these numbers we derive many interesting
formulae associated with q-Bernoulli numbers.
| math.NT | in this paper we consider carlitz qbernoulli numbers and qstirling numbers of the first and the second kind from these numbers we derive many interesting formulae associated with qbernoulli numbers | [['in', 'this', 'paper', 'we', 'consider', 'carlitz', 'qbernoulli', 'numbers', 'and', 'qstirling', 'numbers', 'of', 'the', 'first', 'and', 'the', 'second', 'kind', 'from', 'these', 'numbers', 'we', 'derive', 'many', 'interesting', 'formulae', 'associated', 'with', 'qbernoulli', 'numbers']] | [-0.2550255070750912, 0.1427091869576543, -0.04590905165920655, 0.16206289055990056, -0.1075390505294005, -0.07401093378042181, 0.04016225164523348, 0.22592508727684618, -0.31491267568587017, -0.3453182918330034, 0.07031132732129966, -0.259648817156752, -0.2680322880546252, 0.27388652172715716, -0.11034592473879457, 0.039691032158831754, -0.03255993934969107, 0.05553853176534176, -0.02535386911282937, -0.23750849633943288, 0.4170875709503889, -0.09038279087593158, 0.15030916991333168, -0.020254289824515583, 0.047021890586862965, -0.02855737068069478, -0.061402034914741915, -0.03317036976416906, -0.21473978323241075, 0.20777527453998726, 0.2446829398162663, 0.0866568393073976, 0.25725581250153484, -0.4163982005168994, 0.007652699885269006, 0.1919434705749154, 0.10720471873258551, 0.05438808426260948, -0.06954884595858554, -0.22557295688117543, 0.06390231210195149, -0.2220405202358961, -0.1882104951888323, -0.13155276542529465, 0.0205803748841087, 0.2350876691440741, -0.25304019395262, 0.06765154022723437, 0.003013862359027068, 0.10949461789180835, 0.006327858567237854, -0.25651183325486876, 0.0768770459263275, 0.06405168734490871, 0.1118789197372583, -0.1523595845947663, -0.09150762020920714, -0.1498932286708926, -0.14798368302484352, 0.37523155088226, 0.03925102340678374, -0.19525895776847998, 0.10781853422522544, -0.24414523377393682, -0.32610116838477554, 0.07055842857807874, 0.17560586084922156, 0.17630045373613637, -0.01855454637358586, 0.02640012843767181, -0.1466334478308757, 0.05419838599239787, 0.23259497489780187, 0.07646066425368189, 0.15588865761334697, -0.052227815302709736, -0.09215212684939615, 0.274590178579092, -0.0667800151296736, -0.06694057335456212, -0.34404165421923, -0.24750646754788855, -0.1727444275592764, 0.09889181926846505, -0.058207795116080284, -0.11283078057070574, 0.37455013369520507, 0.17554028881713749, 0.22118745582799118, 0.1799536391471823, 0.23494483466881017, 0.16266880743205547, 0.002934156885991494, -0.012047752489646275, 0.034941366082057355, 0.27547238105908034, 0.13582178303574136, -0.0920732812655236, -0.03191272260931631, 0.21455954036985833] |
708.3307 | A p-adic analogue of a formula of Ramanujan | During his lifetime, Ramanujan provided many formulae relating binomial sums
to special values of the Gamma function. Based on numerical computations, Van
Hamme recently conjectured $p$-adic analogues to such formulae. Using a
combination of ordinary and Gaussian hypergeometric series, we prove one of
these conjectures.
| math.NT math.CO | during his lifetime ramanujan provided many formulae relating binomial sums to special values of the gamma function based on numerical computations van hamme recently conjectured padic analogues to such formulae using a combination of ordinary and gaussian hypergeometric series we prove one of these conjectures | [['during', 'his', 'lifetime', 'ramanujan', 'provided', 'many', 'formulae', 'relating', 'binomial', 'sums', 'to', 'special', 'values', 'of', 'the', 'gamma', 'function', 'based', 'on', 'numerical', 'computations', 'van', 'hamme', 'recently', 'conjectured', 'padic', 'analogues', 'to', 'such', 'formulae', 'using', 'a', 'combination', 'of', 'ordinary', 'and', 'gaussian', 'hypergeometric', 'series', 'we', 'prove', 'one', 'of', 'these', 'conjectures']] | [-0.11882298741774219, 0.00730626870418847, -0.1609756464759509, 0.09982617025832749, -0.117311390551428, -0.13998482783014576, 0.04531329727809255, 0.26399098287026085, -0.28553138189017774, -0.26820114871693984, 0.06684032097044919, -0.28315383477860856, -0.20797880705859925, 0.3241730210267835, -0.06587375951930881, 0.12361004581034649, 0.0037106941868033675, 0.020459342077891858, -0.093856212672674, -0.38613337038291823, 0.3011518946124448, -0.007665243527541558, 0.17594236174805297, 0.05131541780817012, 0.06583358980715275, 0.07387495880118675, -0.08997980570420623, -0.10510853681092461, -0.21238920199167396, 0.13031984276862607, 0.2612176020681444, 0.05795900553154449, 0.28662317362096573, -0.4411042080157333, -0.1358468233090308, 0.15790970335818, 0.11358855420031533, 0.016784345705269113, 0.01213659501582798, -0.26633891324616144, 0.032341837184503675, -0.2050031169421143, -0.18247716170218256, -0.12324234374488394, 0.04972599597854747, 0.14497969746589662, -0.2680986752112707, 0.053940196045570904, 0.02350021671089861, 0.09341212430347999, -0.023543837521639136, -0.2508461420320802, 0.048723025319890846, 0.03751188945025206, 0.08657575945560692, -0.07281101253918476, 0.02642665034573939, -0.08289880682196882, -0.16675910722050402, 0.27197940539982585, -0.042814962020040384, -0.16571765310234493, 0.1137439205362979, -0.16108090556744073, -0.24765033641467907, 0.08818072905608763, 0.057272281042403644, 0.1430097806784842, -0.029544826741847725, 0.07439295471413061, -0.10471598112748728, 0.03834868986159563, 0.27172892476535504, -0.022675264730221696, 0.16287252248989212, -0.04270618822839525, -0.09205766024404309, 0.15670182994670337, 0.03950463929213584, -0.1104632468169762, -0.319870261910061, -0.19365081669141848, -0.22277983878900867, 0.14166268432098958, -0.1202854480280722, -0.23065180107951164, 0.33702312322954336, 0.04553457142578231, 0.1570693152749704, 0.15868415963422094, 0.2144143751460231, 0.2184673029722439, 0.025455095287826326, 0.020311025840540727, 0.09039328318710128, 0.29689476889972055, 0.009263795528224567, -0.06530116506748729, 0.036289430337233676, 0.260471152762572] |
708.3308 | Structure of Ann-categories and Mac Lane - Shukla cohomology | In this paper we study the structure of a class of categories having two
operations which satisfy axioms analoguos to that of rings. Such categories are
called "Ann - categories". We obtain the classification theorems for regular
Ann - categories and Ann - functors by using Mac Lane - Shukla cohomology of
rings. These results give new interpretations of the cohomology groups and of
the rings
| math.CT | in this paper we study the structure of a class of categories having two operations which satisfy axioms analoguos to that of rings such categories are called ann categories we obtain the classification theorems for regular ann categories and ann functors by using mac lane shukla cohomology of rings these results give new interpretations of the cohomology groups and of the rings | [['in', 'this', 'paper', 'we', 'study', 'the', 'structure', 'of', 'a', 'class', 'of', 'categories', 'having', 'two', 'operations', 'which', 'satisfy', 'axioms', 'analoguos', 'to', 'that', 'of', 'rings', 'such', 'categories', 'are', 'called', 'ann', 'categories', 'we', 'obtain', 'the', 'classification', 'theorems', 'for', 'regular', 'ann', 'categories', 'and', 'ann', 'functors', 'by', 'using', 'mac', 'lane', 'shukla', 'cohomology', 'of', 'rings', 'these', 'results', 'give', 'new', 'interpretations', 'of', 'the', 'cohomology', 'groups', 'and', 'of', 'the', 'rings']] | [-0.15443437366334142, -0.056444950485754694, -0.0994740652500606, 0.06425804665243467, -0.021839877040904076, -0.13857662037289778, -0.002777665744718836, 0.3566345498576516, -0.33035384131534423, -0.27328061636109824, 0.11419958357325159, -0.17019215349840824, -0.16884938299228422, 0.1693445450214089, -0.20399872302917427, -0.063820917449403, 0.04853408669167366, 0.03206676527949386, -0.04944056015629627, -0.338550591440566, 0.4697095170353738, -0.017358063307941936, 0.2389905096077528, -0.013817075487287318, 0.05883198684905885, -0.009947411028943101, -0.07831948203584332, 0.018618242418179748, -0.17512309315796182, 0.19461409982721337, 0.3395161322875284, 0.06862954435045601, 0.1691469344363899, -0.39203727685037204, -0.07873641953757796, 0.14879445054140858, 0.041811430300051564, 0.047108142856187876, 0.0064284462122948935, -0.34889464193313824, 0.16953664625704776, -0.24352208694412572, -0.047889623783345596, -0.11543437542363269, 0.10014258383116761, 0.09085699982681601, -0.257863982669345, 0.007613114638589933, 0.1581108890718124, 0.13711123263127492, -0.11331567240756799, -0.07349688750615374, -0.010615631052460826, 0.11871936732567236, -0.042769072302540796, -0.07755055159070819, 0.15312437986435948, -0.15603318289456675, -0.2251105273875301, 0.32861455322289074, -0.003418201443235405, -0.1545535595934899, 0.23074088734192927, -0.06917251523614662, -0.2051338439761493, 0.07900377865270024, 0.09803751898837872, 0.11839337439322081, -0.08197381973484165, 0.11964509553527918, -0.17649201314407784, 0.025472413870643397, 0.1638048739691616, 0.0546698081459789, 0.135716049764, 0.11081530748423739, 0.021902429504839123, 0.12628906151875244, -0.05397661724967546, -0.029080236574909726, -0.33181469876807734, -0.22272641872071097, -0.04144659640313294, 0.0688673568217725, -0.03216352086222242, -0.16527122972517838, 0.4452073772640166, 0.14199912618296068, 0.19285452399463926, 0.16049684830139713, 0.2031155172430101, 0.022016658249204277, 0.12673373230290216, 0.06797317444484254, 0.15428452083810432, 0.2506715608951559, 0.05060058482540924, -0.00525192633942991, -0.04278046828618304, 0.22707970457945448] |
708.3309 | A combinatorial realization of the Heisenberg action on the space of
conformal blocks | This paper has been withdrawn by the author. Improved versions
(arXiv:1109.5548 and arXiv:0708.4190) are accepted.
| math.GT | this paper has been withdrawn by the author improved versions arxiv11095548 and arxiv07084190 are accepted | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'improved', 'versions', 'arxiv11095548', 'and', 'arxiv07084190', 'are', 'accepted']] | [-0.09711462904054385, 0.026011533927745543, -0.13960860569316608, 0.038432321538074084, -0.11763299457155742, -0.09331963368906425, -0.06389985712639128, 0.37687546014785767, -0.1961132247860615, -0.383865434389848, 0.15533824666188314, -0.347586807436668, -0.10139533117986642, 0.1074724426636329, -0.30052294668096763, 0.13660447063067785, 0.054574829096404404, -0.07972311672682945, -0.018805693190258283, -0.41659341064783245, 0.29350930681595433, 0.1491093157002559, 0.2711220607161522, 0.1815287470817566, -0.00445669165884073, -0.06974356739710157, -0.17016582749783993, 0.07838250868595563, -0.14909750423752344, 0.13750855560199574, 0.1945203751898729, 0.0730710077421883, 0.3855311033817438, -0.36526938126637387, -0.25671747205062556, 0.12649672782908267, 0.19888439861824736, 0.13481989560218957, -0.10911399247841193, -0.3775588251077212, 0.23645559397454446, -0.35206692723127514, -0.08559824601532175, -0.012577811685892252, 0.10024485235603955, -0.06424582319763991, -0.11580259582171074, 0.04458594057135857, 0.15403650872982466, 0.19544103999550527, 0.04223383293272211, -0.2391276382482969, 0.0951082962923325, 0.1628003240777896, 0.14657850072790796, 0.12564500582476074, -0.028513270501907054, 0.0076239081278729895, -0.16745566175534174, 0.3418032251871549, 0.04142449624263323, -0.20379238561368906, 0.10416022516213931, 0.03642650489480449, -0.18902818215652728, 0.09300874431545918, 0.07643055077642202, 0.07207755140888576, -0.2817747193890122, 0.21135948361524454, -0.07575163488777784, 0.11110867359317265, 0.2280012069341655, -0.05628879540241682, 0.09252950090628403, 0.1545087260982165, -0.05524604932333414, 0.18357253733735818, 0.07425479046427287, -0.03883609648507375, -0.15880351914809301, -0.17241122387349606, -0.22168229437934664, -0.008109979832974764, 0.24444557328892047, -0.04367391449900774, 0.40365587633389693, 0.18220773238975269, 0.039969051686617046, -0.03695349653179829, 0.294902136692634, 0.20422369606183985, 0.0661854723898264, 0.039465344296051905, 0.3802431608693531, 0.11560729162122768, 0.21091462571460468, 0.03064484063249368, 0.28945746487722945, 0.25344346033839077] |
708.331 | Stability properties for the higher dimensional catenoid in $\rr^{n+1}$ | This paper concerns some stability properties of higher dimensional catenoids
in $\rr^{n+1}$ with $n\ge 3$. We prove that higher dimensional catenoids have
index one. We use $\delta$-stablity for minimal hypersurfaces and show that the
catenoid is $\frac 2n$-stable and a complete $\frac 2n$-stable minimal
hypersurface is a catenoid or a hyperplane provided the second fundamental form
satisfies some decay conditions.
| math.DG | this paper concerns some stability properties of higher dimensional catenoids in rrn1 with nge 3 we prove that higher dimensional catenoids have index one we use deltastablity for minimal hypersurfaces and show that the catenoid is frac 2nstable and a complete frac 2nstable minimal hypersurface is a catenoid or a hyperplane provided the second fundamental form satisfies some decay conditions | [['this', 'paper', 'concerns', 'some', 'stability', 'properties', 'of', 'higher', 'dimensional', 'catenoids', 'in', 'rrn1', 'with', 'nge', '3', 'we', 'prove', 'that', 'higher', 'dimensional', 'catenoids', 'have', 'index', 'one', 'we', 'use', 'deltastablity', 'for', 'minimal', 'hypersurfaces', 'and', 'show', 'that', 'the', 'catenoid', 'is', 'frac', '2nstable', 'and', 'a', 'complete', 'frac', '2nstable', 'minimal', 'hypersurface', 'is', 'a', 'catenoid', 'or', 'a', 'hyperplane', 'provided', 'the', 'second', 'fundamental', 'form', 'satisfies', 'some', 'decay', 'conditions']] | [-0.19533183270444474, 0.07651708631269764, -0.042479700000401126, 0.06740613591146509, -0.057656201366498544, -0.2046239538396006, -0.05616028600151798, 0.33200484665780605, -0.19663485727812113, -0.15733274134496847, 0.1620884430941946, -0.3429658304442439, -0.1641387753903441, 0.15563584864548033, -0.1403833009596718, 0.03146943179563733, 0.037733110480762104, 0.10409789829792683, -0.09329849948877827, -0.2894236495996123, 0.3930809730500506, -0.08867318317163408, 0.191016282249046, 0.11063862965327867, 0.12687573578666178, -0.04671874684853512, 0.11872795021586251, 0.00985921708572852, -0.29898007582641295, 0.1367812349477358, 0.16502402691791454, 0.1022935702767746, 0.23686325041528203, -0.3840187941596173, -0.20405980242056804, 0.20725540625617692, 0.15076512644034729, 0.0016361003937689883, -0.06255058832098975, -0.17741156330234126, 0.16204630523070432, -0.07057613354960554, -0.27706563776653065, -0.06978558863333442, 0.006312625221254533, -0.03136844557236161, -0.24623650201318556, 0.08484766133979224, 0.16786293522046322, 0.1178652603963488, -0.04325416059184231, -0.09247898416626349, -0.10053862160757969, 0.03472553100028451, 0.007725611418943133, 0.023127095161103887, 0.01863876437735662, -0.09142795340653322, -0.11411036537927494, 0.35651345198091705, -0.044149364214063735, -0.28769008704183396, 0.11195854116394593, -0.20688097113580034, -0.18176711920910238, 0.09692681625714167, 0.118302927434183, 0.18107507430147707, -0.05950491426087785, 0.17338178533725768, -0.0697658504441119, 0.15383400302380323, 0.17030699917098932, 0.008684786886238215, 0.1030642537261245, 0.12728715959217465, 0.14767712312587128, 0.15941388937726356, -0.017173161762848235, -0.0012027934977882787, -0.38566643535568, -0.2822963778877206, -0.09960774681939367, 0.13710766141874747, -0.13482891620298146, -0.14194557034786334, 0.34265905055380835, 0.04211905533897184, 0.17600214254241764, 0.11680522667276755, 0.2303764629422834, 0.06915365242840428, 0.001561675939643592, 0.15931161381957823, 0.1798901773974904, 0.12234494759978955, 0.02812192198542649, -0.07259035327424818, -0.04518144679043377, 0.163492871750669] |
708.3311 | HST/STIS spectroscopy of the environment in the starburst core of M82 | [Abridged] We present high-resolution optical HST/STIS observations made with
two slits crossing four of the brightest starburst clumps in the vicinity of
the nucleus of M82. These provide H_alpha kinematics, extinction, electron
density and emission measures. From the radial velocity curves we confirm the
presence of a stellar bar, and find that the super star cluster M82-A1 has a
position and radial velocity consistent with it being at the end of one of the
unique x2 bar orbits formed by an inner Lindblad resonance. We derive a new
model for the orientation of the bar and disc with respect to the main
starburst clumps, and propose that clump A has formed within the bar region as
a result of gas interactions between the bar orbits, whereas region C lies at
the edge of the bar and regions D and E are located further out from the
nucleus but heavily obscured. We derive extremely high interstellar densities,
corresponding to ISM pressures of P/k ~ 0.5-1.0 x 10^7 cm^-3 K, and discuss the
implications of the measured gas properties surrounding the nuclear star
clusters on the production and evolution of the galactic wind. Despite varying
pressures, the ionization parameter is uniform down to parsec-scales, and we
discuss why this might be so. Where the S/N of our spectra are high enough, we
identify multiple emission-line components. Through detailed Gaussian
line-fitting, we identify a ubiquitous broad (200-300 km/s) underlying
component to the bright H_alpha line, and discuss the physical mechanism(s)
that could be responsible for such widths. We conclude that the evaporation
and/or ablation of material from interstellar gas clouds caused by the impact
of the high-energy photons and fast-flowing cluster winds produces a highly
turbulent layer on the surface of the clouds from which the emission arises.
| astro-ph | abridged we present highresolution optical hststis observations made with two slits crossing four of the brightest starburst clumps in the vicinity of the nucleus of m82 these provide h_alpha kinematics extinction electron density and emission measures from the radial velocity curves we confirm the presence of a stellar bar and find that the super star cluster m82a1 has a position and radial velocity consistent with it being at the end of one of the unique x2 bar orbits formed by an inner lindblad resonance we derive a new model for the orientation of the bar and disc with respect to the main starburst clumps and propose that clump a has formed within the bar region as a result of gas interactions between the bar orbits whereas region c lies at the edge of the bar and regions d and e are located further out from the nucleus but heavily obscured we derive extremely high interstellar densities corresponding to ism pressures of pk 0510 x 107 cm3 k and discuss the implications of the measured gas properties surrounding the nuclear star clusters on the production and evolution of the galactic wind despite varying pressures the ionization parameter is uniform down to parsecscales and we discuss why this might be so where the sn of our spectra are high enough we identify multiple emissionline components through detailed gaussian linefitting we identify a ubiquitous broad 200300 kms underlying component to the bright h_alpha line and discuss the physical mechanisms that could be responsible for such widths we conclude that the evaporation andor ablation of material from interstellar gas clouds caused by the impact of the highenergy photons and fastflowing cluster winds produces a highly turbulent layer on the surface of the clouds from which the emission arises | [['abridged', 'we', 'present', 'highresolution', 'optical', 'hststis', 'observations', 'made', 'with', 'two', 'slits', 'crossing', 'four', 'of', 'the', 'brightest', 'starburst', 'clumps', 'in', 'the', 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708.3312 | Ab-initio calculation of the vibrational modes of SiH4, H2SiO, Si10H16,
and Si10H14O | We have studied the normal modes of hydrogenated and oxidized silicon
nanocrystals, namely SiH4 (silan), H2SiO (silanon), Si10H16 and Si10H14O. The
small clusters (SiH4 and H2SiO) have been used for convergence tests and their
bondlengths and frequencies have been compared with experimental and
theoretical reference data. For the large clusters (Si10H16 and Si10H14O) we
have investigated the vibrational density of states where we have identified
the oxygen-related spectral features. The vibrational modes have been also
analyzed with respect to the displacement patterns. The calculations have been
carried out within the density-functional and density-functional perturbation
theory using the local-density approximation.
| cond-mat.mtrl-sci | we have studied the normal modes of hydrogenated and oxidized silicon nanocrystals namely sih4 silan h2sio silanon si10h16 and si10h14o the small clusters sih4 and h2sio have been used for convergence tests and their bondlengths and frequencies have been compared with experimental and theoretical reference data for the large clusters si10h16 and si10h14o we have investigated the vibrational density of states where we have identified the oxygenrelated spectral features the vibrational modes have been also analyzed with respect to the displacement patterns the calculations have been carried out within the densityfunctional and densityfunctional perturbation theory using the localdensity approximation | [['we', 'have', 'studied', 'the', 'normal', 'modes', 'of', 'hydrogenated', 'and', 'oxidized', 'silicon', 'nanocrystals', 'namely', 'sih4', 'silan', 'h2sio', 'silanon', 'si10h16', 'and', 'si10h14o', 'the', 'small', 'clusters', 'sih4', 'and', 'h2sio', 'have', 'been', 'used', 'for', 'convergence', 'tests', 'and', 'their', 'bondlengths', 'and', 'frequencies', 'have', 'been', 'compared', 'with', 'experimental', 'and', 'theoretical', 'reference', 'data', 'for', 'the', 'large', 'clusters', 'si10h16', 'and', 'si10h14o', 'we', 'have', 'investigated', 'the', 'vibrational', 'density', 'of', 'states', 'where', 'we', 'have', 'identified', 'the', 'oxygenrelated', 'spectral', 'features', 'the', 'vibrational', 'modes', 'have', 'been', 'also', 'analyzed', 'with', 'respect', 'to', 'the', 'displacement', 'patterns', 'the', 'calculations', 'have', 'been', 'carried', 'out', 'within', 'the', 'densityfunctional', 'and', 'densityfunctional', 'perturbation', 'theory', 'using', 'the', 'localdensity', 'approximation']] | [-0.026195115880354454, 0.10312200843503601, -0.11395352658276495, 0.03278471646634372, 0.055621150504846714, -0.09522207075435864, 0.05027086828149071, 0.4610299645677993, -0.16833613275697357, -0.27912805482169223, 0.07004111777182276, -0.3543720056743998, -0.0849735935757819, 0.11254681109842893, 0.05680064226402656, 0.12887011608599047, 0.025132648088037966, -0.0323595597163627, -0.0563176404782816, -0.20724760307685325, 0.23141732861434944, 0.075842740102426, 0.2962851694343906, 0.051475805068682684, 0.018274748826546495, -0.07854588385671377, 0.01911125889440116, 0.07065024507281027, -0.18622178451501226, 0.09814337521705678, 0.2623888446973931, 0.00551686511424027, 0.25770009846769665, -0.5222977629225505, -0.2304085306087999, 0.020264629823596853, 0.1377904460740913, 0.13308312049821802, -0.07922886978638799, -0.29303691271496446, 0.11734285114921238, -0.15647017474433308, -0.08240744421430128, -0.1642170502706186, 0.002607854774319812, 0.07684447017351263, -0.18070237681661783, 0.09115905768795576, -0.05047758342208047, 0.11188502054175938, -0.09867924040085391, -0.2021459063809169, -0.06505442606775384, 0.10628059241234472, 0.05213111517460723, -0.029122429429308365, 0.14910470970851172, -0.01844454557683907, -0.10124224623371111, 0.38471474818101054, -0.0637398983039403, -0.13865627012166537, 0.19767491497638587, -0.13293505598251756, -0.14737219968810678, 0.12449551474695143, 0.11908009854194365, 0.14362619916271221, -0.13584398565519798, 0.10907555092616301, -0.004704552179349488, 0.14308163778562294, 0.1203658096320731, 0.08833910416517603, 0.15183295224254068, 0.15142409652716626, -0.06097972771201871, 0.09608028235992319, -0.18362331136963086, -0.0621203113200241, -0.1498873858075393, -0.11075151124478955, -0.19434951491849986, -0.017396863971493745, -0.03266999570432266, -0.16111669402667567, 0.3779856182046627, 0.06866139862196226, 0.11698752878429858, 0.0010705895035674697, 0.2016523765694154, 0.12411732436893018, 0.13360214881647967, 0.044432001669989216, 0.3377983316387001, 0.20656095588285672, 0.03955443022086432, -0.24641293573536371, 0.05507382167209136, -0.035395037395095356] |
708.3313 | Observation of $\psi(4415)\to D \bar D{}^{*}_2(2460)$ decay using
initial-state radiation | We report the first observation of the $\psi(4415)$ resonance in the reaction
$\e^+e^-\to D^0 D^-\pi^+$ and a measurement of its cross section in the
center-of-mass energy range $4.0\mathrm{GeV}$ to $5.0\mathrm{GeV}$ with initial
state radiation. From a study of resonant structure in $\psi(4415)$ decay we
conclude that the $\psi(4415)\to D^0 D^-\pi^+$ decay is dominated by
$\psi(4415)\to D \bar D{}^{*}_2(2460)$. We obtain $\mathcal{B}(\psi(4415)\to
D^0 D^-\pi^+_{\mathrm {non-resonant}})/\mathcal{B}(\psi(4415)\to D \bar
D{}^{*}_2(2460)\to D^0 D^-\pi^+)<0.22$ at 90% C.L. The analysis is based on a
data sample collected with the Belle detector with an integrated luminosity of
673 $\mathrm{fb}^{-1}$.
| hep-ex | we report the first observation of the psi4415 resonance in the reaction eeto d0 dpi and a measurement of its cross section in the centerofmass energy range 40mathrmgev to 50mathrmgev with initial state radiation from a study of resonant structure in psi4415 decay we conclude that the psi4415to d0 dpi decay is dominated by psi4415to d bar d_22460 we obtain mathcalbpsi4415to d0 dpi_mathrm nonresonantmathcalbpsi4415to d bar d_22460to d0 dpi022 at 90 cl the analysis is based on a data sample collected with the belle detector with an integrated luminosity of 673 mathrmfb1 | [['we', 'report', 'the', 'first', 'observation', 'of', 'the', 'psi4415', 'resonance', 'in', 'the', 'reaction', 'eeto', 'd0', 'dpi', 'and', 'a', 'measurement', 'of', 'its', 'cross', 'section', 'in', 'the', 'centerofmass', 'energy', 'range', '40mathrmgev', 'to', '50mathrmgev', 'with', 'initial', 'state', 'radiation', 'from', 'a', 'study', 'of', 'resonant', 'structure', 'in', 'psi4415', 'decay', 'we', 'conclude', 'that', 'the', 'psi4415to', 'd0', 'dpi', 'decay', 'is', 'dominated', 'by', 'psi4415to', 'd', 'bar', 'd_22460', 'we', 'obtain', 'mathcalbpsi4415to', 'd0', 'dpi_mathrm', 'nonresonantmathcalbpsi4415to', 'd', 'bar', 'd_22460to', 'd0', 'dpi022', 'at', '90', 'cl', 'the', 'analysis', 'is', 'based', 'on', 'a', 'data', 'sample', 'collected', 'with', 'the', 'belle', 'detector', 'with', 'an', 'integrated', 'luminosity', 'of', '673', 'mathrmfb1']] | [-0.08310155394341213, 0.13979875353176893, -0.09486395287003468, 0.03112800730425999, -0.004323687951756552, -0.0899485285248024, 0.05644183737192168, 0.3095300492482731, -0.18893330273813153, -0.26538406330418873, -0.024052921681193613, -0.4264137198116226, 0.05066428003630724, 0.13977219357648976, 0.13130189381898885, 0.10306288115610088, 0.16322991680578294, 0.013804083908851966, -0.031119192626428264, -0.15458076956390168, 0.2841160202788817, 0.04679901928203293, 0.20701021475279816, 0.11346874152680478, 0.011374016641639173, 0.01858815859094352, -0.05014668347830155, -0.11199045052796781, -0.18961146493564732, 0.06652574844837907, 0.2456537388624197, 0.15506472662287618, 0.0979679411709174, -0.33167936229832534, 0.027004903272153383, 0.13274109064522815, 0.13319358519132596, 0.07865798323841608, -0.020399435205912465, -0.40839954768588027, 0.1469301571003554, -0.1755672608423664, -0.07309410611661263, 0.029399504380143552, 0.08665842616773513, -0.13280218979063252, -0.32328336053957085, 0.10166713662153806, -0.0518524727632617, 0.11912467874900763, -0.0781013976448743, -0.23030220235821353, -0.058434467117515314, -0.059634371223040376, 0.008972260960748038, 0.09914213973581398, 0.21072055930720576, -0.07753214023513608, -0.17498813082565026, 0.2600677798359083, -0.11183184978877564, -0.10961062704628131, 0.15526773425166956, -0.24813998234177748, -0.07811592021923378, 0.215066891006497, 0.2240717378388866, 0.034549800451867375, -0.20201030352324, 0.1268721466697472, 0.0105001210201397, 0.22552933833415967, 0.09926092970824565, 0.05627025080934526, 0.09934627693160493, 0.2770792290018535, -0.03530051385288138, 0.08649254959155188, -0.17877949159087456, -0.0037362368283681124, -0.42974759705634, -0.1263173948335237, -0.09946389619754739, 0.13579218802238668, 0.016996317868666577, -0.045932950900800254, 0.32410643287900703, -0.0032226298139739155, 0.38968928666583386, -0.017435697451548045, 0.2596418502998639, 0.11240407298262937, 0.03252508458176471, 0.09079193736774376, 0.3501908372055335, 0.16494190667374395, 0.15913542539038392, -0.31878578346166536, 0.03976017553134855, -0.0647590318133673] |
708.3314 | Autocatalytic reaction on low-dimensional substrates | We discuss a model for the autocatalytic reaction $A+B\to 2A$ on substrates
where the reactants perform a compact exploration of the space, i.e., on
lattices whose spectral dimension $\tilde{d}$ is $< 2$. For finite systems, the
total time $\tau$ for the reaction to end scales according to two different
regimes, for high and low concentrations of reactants. The functional
dependence of $\tau$ on the volume of the substrate and the concentration of
reactants is discussed within a mean-field approximation. Possible applications
are discussed.
| cond-mat.stat-mech | we discuss a model for the autocatalytic reaction abto 2a on substrates where the reactants perform a compact exploration of the space ie on lattices whose spectral dimension tilded is 2 for finite systems the total time tau for the reaction to end scales according to two different regimes for high and low concentrations of reactants the functional dependence of tau on the volume of the substrate and the concentration of reactants is discussed within a meanfield approximation possible applications are discussed | [['we', 'discuss', 'a', 'model', 'for', 'the', 'autocatalytic', 'reaction', 'abto', '2a', 'on', 'substrates', 'where', 'the', 'reactants', 'perform', 'a', 'compact', 'exploration', 'of', 'the', 'space', 'ie', 'on', 'lattices', 'whose', 'spectral', 'dimension', 'tilded', 'is', '2', 'for', 'finite', 'systems', 'the', 'total', 'time', 'tau', 'for', 'the', 'reaction', 'to', 'end', 'scales', 'according', 'to', 'two', 'different', 'regimes', 'for', 'high', 'and', 'low', 'concentrations', 'of', 'reactants', 'the', 'functional', 'dependence', 'of', 'tau', 'on', 'the', 'volume', 'of', 'the', 'substrate', 'and', 'the', 'concentration', 'of', 'reactants', 'is', 'discussed', 'within', 'a', 'meanfield', 'approximation', 'possible', 'applications', 'are', 'discussed']] | [-0.10982989319940893, 0.1917875648203601, -0.03793202970452357, 0.06225637856745956, 0.01809233347686553, -0.12319295566029302, 0.08957988757032492, 0.35410061848020496, -0.24862976061043943, -0.235063464539807, 0.08221611293123626, -0.27105404484290174, -0.07150141505251933, 0.16564437720595246, 0.03911382788877434, 0.03197151828534538, -1.3181042471309987e-05, 0.0485127614470335, -0.05809589564053501, -0.2195025960710354, 0.34340912654496186, 0.04082140055053481, 0.25652070345801425, 0.1041104123393846, 0.132721649880362, -0.024316014489158988, 0.0112882742783191, -0.0032108883447441124, -0.19102908473280145, 0.0865006509134773, 0.23973804412455094, 0.04113997899211671, 0.19166381077034536, -0.43573310085367867, -0.23612587844453206, 0.06731158672127782, 0.11203181105325134, 0.07417231636894185, -0.02505379256497069, -0.22441194005446827, 0.07520979651954116, -0.1248867657012874, -0.09240343629399587, -0.04423122570236645, 0.0937933270683194, 0.07644506991363881, -0.2811276164791751, 0.06504546478390694, 0.011182111176866584, 0.041397723267082034, -0.10875512474988837, -0.15522441834711084, -0.04080042457662341, 0.12814817777920015, 0.02184652387613158, -0.012790210887920338, 0.1670807049575648, -0.08578308164028496, -0.06766750374468179, 0.41845695848758446, -0.05863724711703182, -0.2081945422219067, 0.2463384974668393, -0.1551078631849278, -0.14626642267174292, 0.1473599800203995, 0.20855502237951973, 0.14978320860281225, -0.11902339221546199, 0.11264564455153205, 0.03993805696642617, 0.16034468915313482, 0.05846735315749467, 0.003182873913518539, 0.10915245920300438, 0.24730610074588982, 0.09558887993235414, 0.11066225412934905, -0.09842586962267666, -0.10801917286206424, -0.2972783935937758, -0.18760828623866163, -0.19064082484692335, 0.05512084751730648, -0.12357492861870346, -0.1492046961992434, 0.362930293490247, 0.03530902763056319, 0.22550714465721353, 0.05719219170306332, 0.2336509630720063, 0.10234265037096764, 0.029944778760758843, 0.004726281085778482, 0.18051920512055114, 0.14719226730351403, 0.0734904581090299, -0.25193251725059096, 0.07385002743245511, 0.04424096169461292] |
708.3315 | Destruction of Anderson localization by a weak nonlinearity | We study numerically a spreading of an initially localized wave packet in a
one-dimensional discrete nonlinear Schr\"odinger lattice with disorder. We
demonstrate that above a certain critical strength of nonlinearity the Anderson
localization is destroyed and an unlimited subdiffusive spreading of the field
along the lattice occurs. The second moment grows with time $ \propto
t^\alpha$, with the exponent $\alpha$ being in the range $0.3 - 0.4$. For small
nonlinearities the distribution remains localized in a way similar to the
linear case.
| cond-mat.dis-nn nlin.CD | we study numerically a spreading of an initially localized wave packet in a onedimensional discrete nonlinear schrodinger lattice with disorder we demonstrate that above a certain critical strength of nonlinearity the anderson localization is destroyed and an unlimited subdiffusive spreading of the field along the lattice occurs the second moment grows with time propto talpha with the exponent alpha being in the range 03 04 for small nonlinearities the distribution remains localized in a way similar to the linear case | [['we', 'study', 'numerically', 'a', 'spreading', 'of', 'an', 'initially', 'localized', 'wave', 'packet', 'in', 'a', 'onedimensional', 'discrete', 'nonlinear', 'schrodinger', 'lattice', 'with', 'disorder', 'we', 'demonstrate', 'that', 'above', 'a', 'certain', 'critical', 'strength', 'of', 'nonlinearity', 'the', 'anderson', 'localization', 'is', 'destroyed', 'and', 'an', 'unlimited', 'subdiffusive', 'spreading', 'of', 'the', 'field', 'along', 'the', 'lattice', 'occurs', 'the', 'second', 'moment', 'grows', 'with', 'time', 'propto', 'talpha', 'with', 'the', 'exponent', 'alpha', 'being', 'in', 'the', 'range', '03', '04', 'for', 'small', 'nonlinearities', 'the', 'distribution', 'remains', 'localized', 'in', 'a', 'way', 'similar', 'to', 'the', 'linear', 'case']] | [-0.20209896301385016, 0.24186986100721697, -0.011641955806408078, 0.052454325508733746, -0.009909387336665531, -0.16584040569141506, 0.01697271966622793, 0.36404403297929094, -0.29559522778727115, -0.17659846367314458, 0.06180719320109347, -0.3317356074578129, -0.15214863275177776, 0.1609394440543838, 0.02508276476437459, 0.06971879259799607, -0.033676183072384444, 0.04152716902317479, -0.056517510037519966, -0.2145592698128894, 0.28899999092100187, 0.03087043122504838, 0.26591005073860285, 0.0516692494507879, 0.03899644612101838, 0.024014499550685287, 0.08745215640446986, 0.004210171673912555, -0.16373610120544982, 0.020093914051540197, 0.15412663164315746, -0.030788078566547483, 0.31634926330298185, -0.39562076673610136, -0.24039025882957504, 0.08150768238119781, 0.2015260119602317, 0.1486003459780477, -0.04732698049629107, -0.29400696404918564, 0.05905324512859807, -0.14679963721428066, -0.2320140565978363, 0.0180955930496566, 0.07393770486378344, 0.0542118137673242, -0.2870940854481887, 0.17324777282919968, 0.08069924346636981, 0.06432306804053951, -0.07935085705248639, -0.0034004362358246, -0.014991426892811433, 0.08029934130609036, 0.0509813104843488, 0.06798673346929718, 0.0906107280694414, -0.15950898520386544, -0.04320688372827135, 0.3630560363730183, -0.08627467030892148, -0.16431824365863576, 0.16045030638342722, -0.22115426672389732, -0.055854711133724776, 0.17706687294412404, 0.1682555711158784, 0.09714642727412866, -0.07731207879114663, 0.10030594658965128, -0.025185191078162462, 0.23287884474812018, 0.04398031606106088, 0.027640144794713706, 0.1199055650504306, 0.18660687608644366, 0.10992588657827582, 0.14854114139452576, -0.10327466711605666, -0.12930213630897924, -0.28914195456891323, -0.11279417774640024, -0.2431278407224454, 0.10476669742547529, -0.14765095143793588, -0.19587322611478158, 0.408988466206938, 0.12473272070055827, 0.23982811798341572, 0.0909324943786487, 0.18754601505352184, 0.2233108055195771, -0.0018830111599527299, 0.07860901657841168, 0.203812872004346, 0.10250225553754717, 0.12404442289480358, -0.2500584376630286, 0.027694132272154094, 0.02951782366071711] |
708.3316 | Anisotropic magnetoresistance in nanocontacts | We present ab initio calculations of the evolution of anisotropic
magnetoresistance (AMR) in Ni nanocontacts from the ballistic to the tunnel
regime. We find an extraordinary enhancement of AMR, compared to bulk, in two
scenarios. In systems without localized states, like chemically pure break
junctions, large AMR only occurs if the orbital polarization of the current is
large, regardless of the anisotropy of the density of states. In systems that
display localized states close to the Fermi energy, like a single electron
transistor with ferromagnetic electrodes, large AMR is related to the variation
of the Fermi energy as a function of the magnetization direction.
| cond-mat.mes-hall cond-mat.mtrl-sci | we present ab initio calculations of the evolution of anisotropic magnetoresistance amr in ni nanocontacts from the ballistic to the tunnel regime we find an extraordinary enhancement of amr compared to bulk in two scenarios in systems without localized states like chemically pure break junctions large amr only occurs if the orbital polarization of the current is large regardless of the anisotropy of the density of states in systems that display localized states close to the fermi energy like a single electron transistor with ferromagnetic electrodes large amr is related to the variation of the fermi energy as a function of the magnetization direction | [['we', 'present', 'ab', 'initio', 'calculations', 'of', 'the', 'evolution', 'of', 'anisotropic', 'magnetoresistance', 'amr', 'in', 'ni', 'nanocontacts', 'from', 'the', 'ballistic', 'to', 'the', 'tunnel', 'regime', 'we', 'find', 'an', 'extraordinary', 'enhancement', 'of', 'amr', 'compared', 'to', 'bulk', 'in', 'two', 'scenarios', 'in', 'systems', 'without', 'localized', 'states', 'like', 'chemically', 'pure', 'break', 'junctions', 'large', 'amr', 'only', 'occurs', 'if', 'the', 'orbital', 'polarization', 'of', 'the', 'current', 'is', 'large', 'regardless', 'of', 'the', 'anisotropy', 'of', 'the', 'density', 'of', 'states', 'in', 'systems', 'that', 'display', 'localized', 'states', 'close', 'to', 'the', 'fermi', 'energy', 'like', 'a', 'single', 'electron', 'transistor', 'with', 'ferromagnetic', 'electrodes', 'large', 'amr', 'is', 'related', 'to', 'the', 'variation', 'of', 'the', 'fermi', 'energy', 'as', 'a', 'function', 'of', 'the', 'magnetization', 'direction']] | [-0.2037450541795876, 0.15486843091373606, -0.03915214118583558, 0.024363163381797046, -0.012628746192114284, -0.12290192373061123, 0.029339155220301248, 0.36109184122716004, -0.2816738970046012, -0.3459028226789087, -0.041944296076857984, -0.32634276937012774, -0.06660708619612986, 0.18659879139830501, 0.05097788604871312, -0.01008160547980179, 0.03133412889795951, -0.05079261678306816, -0.13235691604607452, -0.16768796036082606, 0.33184743486344814, 0.06427507332185857, 0.31423525793406254, 0.04761633482904962, 0.05432817559743013, -0.029360108829748172, 0.11471371431029044, 0.07435820121855403, -0.11077862836751032, 0.031620266695636716, 0.22232179512054875, -0.1135277569365616, 0.1681309486649787, -0.49095315352315083, -0.17113913266355388, -0.011200357689701308, 0.14665052250851518, 0.1852000649445332, -0.05765279677087584, -0.22177097144035193, 0.07349763550043392, -0.1448458528611809, -0.1331620312636145, -0.04711346133486726, 0.011820058159243602, 0.024140593224169258, -0.21885025678784586, 0.12835275057631618, 0.04742495870652, 0.0628525541502453, -0.08084338150309542, -0.11013155933156107, -0.10434642880975914, 0.0679433060487589, 0.031708577988096155, 0.04704626019408282, 0.1513213007352673, -0.15275893430897178, -0.1263594173002415, 0.35302594617510646, -0.08133877405802756, -0.12428821922199298, 0.20196768162378037, -0.23084110188154647, -0.06821426348939824, 0.13537420376647227, 0.14023989371847934, 0.12466767730746561, -0.10797402211532105, 0.07957019556600314, -0.0003931043241978981, 0.18271717842435464, 0.014193782761979561, 0.04040694932113043, 0.2653521878573184, 0.204271045835832, 0.05516566458838777, 0.11731700642177692, -0.19504673152942603, -0.046964436603817515, -0.21414144351505315, -0.18260848044211833, -0.24459918027591462, 0.10299933666605145, -0.0888081877805794, -0.2456540037662937, 0.41093337293176985, 0.1534625757888604, 0.1899529041346306, -0.058546885319698885, 0.2617515705060214, 0.11466531594207761, 0.10371187449289629, 0.07183633584421702, 0.2611954115295353, 0.13122661093187232, 0.1403014676627488, -0.32939807697682855, 0.08567634382276222, -0.061247974184180536] |
708.3317 | On surface tension for compact stars | In an earlier treatment it was demonstrated that general relativity gives
higher values of surface tension in strange stars with quark matter than
neutron stars.We generate the modified Tolman-Oppenheimer-Volkoff equation to
incorporate anisotropic matter and use this to show that pressure anisotropy
provides for a wide range of behaviour in the surface tension than is the case
with isotropic pressures. In particular it is possible that anisotropy
drastically decreases the value of the surface tension.
| gr-qc | in an earlier treatment it was demonstrated that general relativity gives higher values of surface tension in strange stars with quark matter than neutron starswe generate the modified tolmanoppenheimervolkoff equation to incorporate anisotropic matter and use this to show that pressure anisotropy provides for a wide range of behaviour in the surface tension than is the case with isotropic pressures in particular it is possible that anisotropy drastically decreases the value of the surface tension | [['in', 'an', 'earlier', 'treatment', 'it', 'was', 'demonstrated', 'that', 'general', 'relativity', 'gives', 'higher', 'values', 'of', 'surface', 'tension', 'in', 'strange', 'stars', 'with', 'quark', 'matter', 'than', 'neutron', 'starswe', 'generate', 'the', 'modified', 'tolmanoppenheimervolkoff', 'equation', 'to', 'incorporate', 'anisotropic', 'matter', 'and', 'use', 'this', 'to', 'show', 'that', 'pressure', 'anisotropy', 'provides', 'for', 'a', 'wide', 'range', 'of', 'behaviour', 'in', 'the', 'surface', 'tension', 'than', 'is', 'the', 'case', 'with', 'isotropic', 'pressures', 'in', 'particular', 'it', 'is', 'possible', 'that', 'anisotropy', 'drastically', 'decreases', 'the', 'value', 'of', 'the', 'surface', 'tension']] | [-0.08310986405859391, 0.1944335265288828, -0.12665429630627234, 0.07762325706736495, -0.1244829465697209, -0.09211138758187493, -0.01143133624146382, 0.33024644463633496, -0.20182174329335492, -0.3517216608176629, -0.024369951983292896, -0.27477285083072883, -0.06897125959396362, 0.215194181073457, -0.02374277011801799, -0.010171019430078256, 0.019591877702623606, 0.021255516527841488, -0.11098232279298827, -0.252870377067787, 0.3466730300647517, 0.061015149963398775, 0.29325065031647685, 0.07802798205365737, 0.036349270654221374, -0.03421936037018895, 0.03928297417859236, 0.065687179317077, -0.18772666074170655, 0.028267114435633022, 0.200951957264139, 0.008702159921328226, 0.1631134800116221, -0.38528590540091195, -0.31594635571974017, 0.07910011695077022, 0.07425976279502114, 0.15679213533798853, -0.0722794434428215, -0.20502592572011052, 0.07539178979272644, -0.1945326921250671, -0.20350616689771414, -0.06512702669948339, 0.06050991620247563, -0.04646691236101712, -0.24844022517402967, 0.16549985902539144, 0.024603925943374634, -0.006747087587912878, -0.12293988589197397, -0.16684589707913497, -0.05828427642583847, 0.011190126681079467, 0.12438563574726383, 0.10453146270631503, 0.14272259938220183, -0.17267282102179404, 0.028500707944234212, 0.4146376643578211, -0.10388934546033851, -0.18659382425248622, 0.18300617158412932, -0.19933352629343667, -0.09799437347799539, 0.1422976025659591, 0.12684155051906904, 0.1077291819639504, -0.12636182482043903, 0.06822537438866372, -0.005501549666126569, 0.19486595906317233, 0.10493747441098095, -0.062395160728289434, 0.25410738873605926, 0.1924659994795608, 0.0621886366729935, 0.11780137697855632, -0.07701699957251548, -0.062271354745607826, -0.2675499650277197, -0.16251962430775166, -0.11205567347506683, 0.03036180238860349, -0.13415324003726709, -0.1659500869549811, 0.30413916615148384, 0.16089685047666233, 0.14674978968997796, 0.0255905694514513, 0.24930848913888137, 0.10289743202428023, 0.050889804338415466, 0.07555162797371547, 0.3260181305805842, 0.1735371670871973, 0.12058698842922846, -0.2501077940687537, 0.053612473662942646, -0.007630974370986223] |
708.3318 | Phase Transitions in Pressurised Semiflexible Polymer Rings | We propose and study a model for the equilibrium statistical mechanics of a
pressurised semiflexible polymer ring. The Hamiltonian has a term which couples
to the algebraic area of the ring and a term which accounts for bending
(semiflexibility). The model allows for self-intersections. Using a combination
of Monte Carlo simulations, Flory-type scaling theory, mean-field
approximations and lattice enumeration techniques, we obtain a phase diagram in
which collapsed and inflated phases are separated by a continuous transition.
The scaling properties of the averaged area as a function of the number of
units of the ring are derived. For large pressures, the asymptotic behaviour of
the area is calculated for both discrete and lattice versions of the model. For
small pressures, the area is obtained through a mapping onto the quantum
mechanical problem of an electron moving in a magnetic field. The simulation
data agree well with the analytic and mean-field results.
| cond-mat.stat-mech | we propose and study a model for the equilibrium statistical mechanics of a pressurised semiflexible polymer ring the hamiltonian has a term which couples to the algebraic area of the ring and a term which accounts for bending semiflexibility the model allows for selfintersections using a combination of monte carlo simulations florytype scaling theory meanfield approximations and lattice enumeration techniques we obtain a phase diagram in which collapsed and inflated phases are separated by a continuous transition the scaling properties of the averaged area as a function of the number of units of the ring are derived for large pressures the asymptotic behaviour of the area is calculated for both discrete and lattice versions of the model for small pressures the area is obtained through a mapping onto the quantum mechanical problem of an electron moving in a magnetic field the simulation data agree well with the analytic and meanfield results | [['we', 'propose', 'and', 'study', 'a', 'model', 'for', 'the', 'equilibrium', 'statistical', 'mechanics', 'of', 'a', 'pressurised', 'semiflexible', 'polymer', 'ring', 'the', 'hamiltonian', 'has', 'a', 'term', 'which', 'couples', 'to', 'the', 'algebraic', 'area', 'of', 'the', 'ring', 'and', 'a', 'term', 'which', 'accounts', 'for', 'bending', 'semiflexibility', 'the', 'model', 'allows', 'for', 'selfintersections', 'using', 'a', 'combination', 'of', 'monte', 'carlo', 'simulations', 'florytype', 'scaling', 'theory', 'meanfield', 'approximations', 'and', 'lattice', 'enumeration', 'techniques', 'we', 'obtain', 'a', 'phase', 'diagram', 'in', 'which', 'collapsed', 'and', 'inflated', 'phases', 'are', 'separated', 'by', 'a', 'continuous', 'transition', 'the', 'scaling', 'properties', 'of', 'the', 'averaged', 'area', 'as', 'a', 'function', 'of', 'the', 'number', 'of', 'units', 'of', 'the', 'ring', 'are', 'derived', 'for', 'large', 'pressures', 'the', 'asymptotic', 'behaviour', 'of', 'the', 'area', 'is', 'calculated', 'for', 'both', 'discrete', 'and', 'lattice', 'versions', 'of', 'the', 'model', 'for', 'small', 'pressures', 'the', 'area', 'is', 'obtained', 'through', 'a', 'mapping', 'onto', 'the', 'quantum', 'mechanical', 'problem', 'of', 'an', 'electron', 'moving', 'in', 'a', 'magnetic', 'field', 'the', 'simulation', 'data', 'agree', 'well', 'with', 'the', 'analytic', 'and', 'meanfield', 'results']] | [-0.14244020952024367, 0.11950884341959617, -0.11638025508034013, 0.051362571252559296, -0.002055789479702119, -0.11843209080891498, 0.05225243743039538, 0.3366958397557799, -0.27672074881647496, -0.2813765914333577, 0.10487965085784233, -0.27849892429579187, -0.11139246163926772, 0.18659211365376532, 0.011158256310451505, 0.05826998903224898, 0.025489273883513366, 0.0231641423734312, -0.09450607529119742, -0.1591181895381074, 0.26476321374652106, 0.050216185569683006, 0.2553277522177491, 0.021493237612102895, 0.12105068068917446, 0.02020121920570139, 0.021706332896669574, 0.09766545061782213, -0.1892943734115002, 0.10973826241108978, 0.18713749637087154, 0.019479621565647868, 0.2235224327035495, -0.42071025475662277, -0.24515083805960142, 0.07094942656112835, 0.12178129180363804, 0.12169910599523846, -0.04493921173162857, -0.24624769886129147, 0.05002624221880063, -0.1838989413176842, -0.1570431210057477, -0.08035953408908962, 0.0016165164504385252, 0.06031259229030485, -0.2820230929415352, 0.08687789604030796, 0.022013112739197267, 0.1002733824938067, -0.0667542940601614, -0.08150488829520833, -0.0032029839198641627, 0.12237580659389126, 0.0285949985533706, 0.03325038289478579, 0.14804782766836466, -0.14258764606333085, -0.08824725643676144, 0.38214627194483547, -0.04597119554038474, -0.18056354575500583, 0.16419699924862297, -0.1242825026510766, -0.10584166620716157, 0.1609215146726281, 0.1299639844631665, 0.1138796006446544, -0.14492447235134265, 0.11747723785830377, -0.057796212496075604, 0.13837338921102071, -0.010479132768186118, -0.025185077778057546, 0.21449850945554624, 0.17706863323861843, 0.013825756038765775, 0.1863629520587031, -0.11382686297042258, -0.1818133538391515, -0.29244115804352905, -0.1567457034067553, -0.1965738812103769, 0.03939045633232554, -0.11926673609236817, -0.21598116307217158, 0.39099045131133486, 0.0856746269369942, 0.17934735237145857, 0.1051437260562998, 0.26237351894193633, 0.10987119369797828, 0.05062173839522809, 0.04635748621970662, 0.21021409860784374, 0.1799649729899174, 0.06211783935852497, -0.22544394378374571, 0.014471629131832068, 0.10546134273515434] |
708.3319 | A construction of Horikawa surface via Q-Gorenstein smoothings | In this article we prove that Fintushel-Stern's construction of Horikawa
surface, which is obtained from an elliptic surface via a rational blow-down
surgery in smooth category, can be performed in complex category. The main
technique involved is Q-Gorenstein smoothings.
| math.AG math.GT | in this article we prove that fintushelsterns construction of horikawa surface which is obtained from an elliptic surface via a rational blowdown surgery in smooth category can be performed in complex category the main technique involved is qgorenstein smoothings | [['in', 'this', 'article', 'we', 'prove', 'that', 'fintushelsterns', 'construction', 'of', 'horikawa', 'surface', 'which', 'is', 'obtained', 'from', 'an', 'elliptic', 'surface', 'via', 'a', 'rational', 'blowdown', 'surgery', 'in', 'smooth', 'category', 'can', 'be', 'performed', 'in', 'complex', 'category', 'the', 'main', 'technique', 'involved', 'is', 'qgorenstein', 'smoothings']] | [-0.15299584301045308, 0.028114141290783524, -0.17946023668926686, 0.08313713811684209, -0.08325935470370147, -0.15134639138928974, -0.07067159190773964, 0.3600052859729681, -0.3508556997164702, -0.20135117775927752, 0.10815750659765819, -0.17857213160739496, -0.2443843600459588, 0.28403380431999, -0.2684875405990543, -0.018071583416969635, 0.07685250827135184, 0.020154423725146513, -0.05988496395711524, -0.2853190666781022, 0.46338947011659354, -0.08660851161067303, 0.20449885773735169, 0.0960679454012559, 0.06556178674770471, 0.02950289452639528, 0.0037506898769583455, 0.008181536737351846, -0.19420269936511966, 0.14386154348269486, 0.34644543427305347, 0.02656164695508778, 0.16244832766003525, -0.4073489084839821, -0.1734607437653885, 0.16215153629533374, 0.15171895796456972, 0.06145033109873438, -0.05914314666118186, -0.23937460164038035, 0.1025215046814619, -0.13618304709402415, -0.17114334665716457, -0.06778935206313737, -0.030694344873504285, 0.027307172568562705, -0.20867535139983281, -0.04609632001330073, 0.0652852446700518, 0.15054156624067289, -0.049893905074359514, -0.04578834547637365, -0.11051358070033483, 0.07705767188842098, 0.0011337012864458256, 0.13187478518991086, 0.11556993975887636, -0.07427090225526346, -0.06943913890669744, 0.3021747053433687, -0.07344894275928919, -0.23261011248597732, 0.12403574882027431, -0.10262006259738253, -0.16768916752428198, 0.23737353356316304, 0.09123745403336123, 0.21828221964339414, -0.06783577904869349, 0.15490291924335253, -0.09782518225554855, 0.10214867445234305, 0.10546911978282225, -0.11132379185456114, 0.11985674104056297, 0.14726676235500819, 0.056423087031222306, 0.12430287008949865, -0.02882885415918934, -0.01886776400109132, -0.37013489390030885, -0.24095789133645715, -0.12878620961251167, 0.15221611988277006, -0.04932267951946228, -0.15093990587271178, 0.3663639976428105, 0.02261937069348418, 0.16742718573182058, 0.09585133777895513, 0.25404992484702515, 0.032170878806843974, 0.019448002758555304, 0.020949389403447125, 0.14574925429545915, 0.1306146016726509, -0.03357943725318481, -0.07996372305429898, -0.01737179047165391, 0.24504256155341864] |
708.332 | Optical polarizabilities of large molecules measured in near-field
interferometry | We discuss a novel application of matter wave interferometry to characterize
the scalar optical polarizability of molecules at 532 nm. The interferometer
presented here consists of two material absorptive gratings and one central
optical phase grating. The interaction of the molecules with the standing light
wave is determined by the optical dipole force and is therefore directly
dependent on the molecular polarizability at the wavelength of the diffracting
laser light. By comparing the observed matter-wave interference contrast with a
theoretical model for several intensities of the standing light wave and
molecular velocities we can infer the polarizability in this first
proof-of-principle experiment for the fullerenes C60 and C70 and we find a good
agreement with literature values.
| quant-ph | we discuss a novel application of matter wave interferometry to characterize the scalar optical polarizability of molecules at 532 nm the interferometer presented here consists of two material absorptive gratings and one central optical phase grating the interaction of the molecules with the standing light wave is determined by the optical dipole force and is therefore directly dependent on the molecular polarizability at the wavelength of the diffracting laser light by comparing the observed matterwave interference contrast with a theoretical model for several intensities of the standing light wave and molecular velocities we can infer the polarizability in this first proofofprinciple experiment for the fullerenes c60 and c70 and we find a good agreement with literature values | [['we', 'discuss', 'a', 'novel', 'application', 'of', 'matter', 'wave', 'interferometry', 'to', 'characterize', 'the', 'scalar', 'optical', 'polarizability', 'of', 'molecules', 'at', '532', 'nm', 'the', 'interferometer', 'presented', 'here', 'consists', 'of', 'two', 'material', 'absorptive', 'gratings', 'and', 'one', 'central', 'optical', 'phase', 'grating', 'the', 'interaction', 'of', 'the', 'molecules', 'with', 'the', 'standing', 'light', 'wave', 'is', 'determined', 'by', 'the', 'optical', 'dipole', 'force', 'and', 'is', 'therefore', 'directly', 'dependent', 'on', 'the', 'molecular', 'polarizability', 'at', 'the', 'wavelength', 'of', 'the', 'diffracting', 'laser', 'light', 'by', 'comparing', 'the', 'observed', 'matterwave', 'interference', 'contrast', 'with', 'a', 'theoretical', 'model', 'for', 'several', 'intensities', 'of', 'the', 'standing', 'light', 'wave', 'and', 'molecular', 'velocities', 'we', 'can', 'infer', 'the', 'polarizability', 'in', 'this', 'first', 'proofofprinciple', 'experiment', 'for', 'the', 'fullerenes', 'c60', 'and', 'c70', 'and', 'we', 'find', 'a', 'good', 'agreement', 'with', 'literature', 'values']] | [-0.14051821353073177, 0.15552135043514845, -0.06510790650788535, 0.00330270536773257, -0.023486993227822658, -0.11334546346965636, 0.024643088712826625, 0.4633259883261899, -0.19584766009018525, -0.2942734744367946, 0.009980598419833068, -0.2841249418675772, -0.10588335082866251, 0.18035934685379204, 0.06659245373219506, 0.06379092739744244, 0.021554669998108577, -0.037955183591534436, 0.00012487212880554362, -0.11005699667287593, 0.29355474048031444, 0.04059132234726706, 0.2499089382517223, 0.0966395711999896, 0.08286423344387968, 0.023602675383862775, 0.0013125121681035585, -0.03779416692514832, -0.1181120785812919, 0.1304322607202344, 0.20126616979529285, -0.008856957296753286, 0.1934355376367895, -0.45875210537869704, -0.22188803506617108, 0.030074783825737417, 0.12856999578543454, 0.17767761102439755, -0.060810272698290646, -0.2975437535235706, -0.041263728617475584, -0.10115189847544345, -0.18963165320137626, -0.020157504966084518, 0.03448163661468997, 0.0906997414248096, -0.23716046549499226, 0.026383751816251595, -0.06085958316500307, 0.041873747201310076, -0.08611043323722915, -0.13103266348505122, 0.005005734686094981, 0.030651122741062894, -0.015577100632258523, 0.04827068283811657, 0.16310000989156273, -0.11761841337140809, -0.07356895699910024, 0.44512232883363706, -0.11297230288370425, -0.06623662875405051, 0.1491340259488067, -0.19645336853005949, -0.025242620561685827, 0.18280315817071077, 0.12066453678581195, 0.11854027327683428, -0.11036776754264839, -0.029370870963077292, -0.05113109339261925, 0.23159784317398682, 0.16226544942802343, 0.1063183398004278, 0.26316500147287214, 0.18151954321875277, -0.0382877764546782, 0.14771088407351038, -0.1785121047690224, -0.02005741774685617, -0.2627906531541266, -0.1409072784356709, -0.20451120455932414, -0.008615171400363494, -0.06412128772142316, -0.10078722808279224, 0.40414047727966285, 0.12851669957351863, 0.1343937558082179, -0.018148825282995135, 0.36051093230151343, 0.09279202773339218, 0.04019154167662446, -0.03893967086656226, 0.37221241254423165, 0.1980230914006949, 0.1235026783015356, -0.29972125119410264, 0.009184639471081587, -0.023711547846547686] |
708.3321 | CP Violation in Two Zero Texture Neutrino Mass Matrices | It has been shown that the neutrino mass matrices with two texture zeros in
the charged lepton basis predict non-zero 1-3 mixing and are necessarily CP
violating with one possible exception in class C for maximal mixing.
| hep-ph | it has been shown that the neutrino mass matrices with two texture zeros in the charged lepton basis predict nonzero 13 mixing and are necessarily cp violating with one possible exception in class c for maximal mixing | [['it', 'has', 'been', 'shown', 'that', 'the', 'neutrino', 'mass', 'matrices', 'with', 'two', 'texture', 'zeros', 'in', 'the', 'charged', 'lepton', 'basis', 'predict', 'nonzero', '13', 'mixing', 'and', 'are', 'necessarily', 'cp', 'violating', 'with', 'one', 'possible', 'exception', 'in', 'class', 'c', 'for', 'maximal', 'mixing']] | [-0.11121637091304906, 0.2944419902522822, 0.061610004386386356, 0.10220901776306532, -0.04443796950618963, -0.24820168824816072, -0.00922776126881709, 0.32302114546198296, -0.18969605389881777, -0.2993891678775686, 0.08561413346261189, -0.3139964904560632, -0.07411719647210997, 0.09804332578504407, 0.07036887673107353, 0.13632762847417915, 0.049760090740951335, 0.0280775955903369, -0.14685477060423158, -0.22481650156849944, 0.3152400249162236, -0.052449604106211176, 0.2508322422619204, 0.08528806914801935, 0.06954845541937126, -0.08820185796483546, -0.08160726361077379, -0.06126734048027445, -0.04089080729318084, -0.008677257980043823, 0.18521055710074064, 0.12174738230611626, 0.056659275313486926, -0.3200331790423071, -0.1350172600280997, 0.2674684647370029, 0.15102358782865308, 0.06587211639192458, -0.12760177405387466, -0.22203464658830213, 0.09374320783929245, -0.21948420657851808, -0.1512341684586293, -0.08810242167296442, 0.07136606548384235, -0.08564341823394234, -0.3861332965662351, 0.06991141891056621, -0.008648053110526825, 0.010029176287856456, 0.05504630482126329, -0.24633169957323353, -0.07857149796610749, 0.05440830016458357, 0.17663993243430112, -0.018444474962716166, 0.04464219327437113, -0.084915623597398, -0.11878628907976924, 0.41176959771562266, -0.05927016397912961, -0.28289616193521666, 0.157150726387831, -0.278829154936043, -0.1903705028942912, 0.1458468678835276, 0.09888580391133153, 0.05789721081335399, -0.17051125038415194, 0.14492648233175026, -0.16208891177902351, 0.10191086412885704, 0.10956798482535256, 0.03550571456199159, 0.2843077731998386, 0.13612671225407236, 0.14265555329620838, -0.018263237198462356, -0.0747783572689907, -0.07461854141060817, -0.32942904652775945, -0.15577914439947219, -0.1581018316886715, 0.08425821852241014, -0.058687239255664894, -0.12733789375036125, 0.4427536474289121, 0.0668443482671235, 0.21548897473493944, 0.008695607910536834, 0.20187531285793395, 0.0606104606208769, 0.14109870214078174, 0.06327700198351129, 0.29946349601487854, 0.1986961250218588, 0.09370102977531182, -0.247642164319955, 0.10906576239378066, 0.07911506229759874] |
708.3322 | Do we know eventually p(e)? | A quasi-particle model is employed to derive from available lattice QCD
calculations an equation of state useable in hydrodynamical simulations of the
expansion stage of strongly interacting matter created in ultra-relativistic
heavy-ion collisions. Various lattice results give an astonishing agreement of
the pressure as a function of energy density at large energy densities supposed
the pseudo-critical temperature is in the range $170 \pm 15$ MeV, while in the
transition region the equation of state is not yet well constrained. Therefore,
one can construct a family of equations of state by bridging the uncertain
region from the uniquely given high-energy density region part to a hadronic
equation of state by suitable interpolation together with the extrapolation to
non-zero baryon density by means of the quasi-particle model. We present a
series of tests of the model, discuss the chiral extrapolation and the role of
Landau damping. We also briefly sketch the path of cosmic matter in the early
universe in the phase diagram.
| hep-ph | a quasiparticle model is employed to derive from available lattice qcd calculations an equation of state useable in hydrodynamical simulations of the expansion stage of strongly interacting matter created in ultrarelativistic heavyion collisions various lattice results give an astonishing agreement of the pressure as a function of energy density at large energy densities supposed the pseudocritical temperature is in the range 170 pm 15 mev while in the transition region the equation of state is not yet well constrained therefore one can construct a family of equations of state by bridging the uncertain region from the uniquely given highenergy density region part to a hadronic equation of state by suitable interpolation together with the extrapolation to nonzero baryon density by means of the quasiparticle model we present a series of tests of the model discuss the chiral extrapolation and the role of landau damping we also briefly sketch the path of cosmic matter in the early universe in the phase diagram | [['a', 'quasiparticle', 'model', 'is', 'employed', 'to', 'derive', 'from', 'available', 'lattice', 'qcd', 'calculations', 'an', 'equation', 'of', 'state', 'useable', 'in', 'hydrodynamical', 'simulations', 'of', 'the', 'expansion', 'stage', 'of', 'strongly', 'interacting', 'matter', 'created', 'in', 'ultrarelativistic', 'heavyion', 'collisions', 'various', 'lattice', 'results', 'give', 'an', 'astonishing', 'agreement', 'of', 'the', 'pressure', 'as', 'a', 'function', 'of', 'energy', 'density', 'at', 'large', 'energy', 'densities', 'supposed', 'the', 'pseudocritical', 'temperature', 'is', 'in', 'the', 'range', '170', 'pm', '15', 'mev', 'while', 'in', 'the', 'transition', 'region', 'the', 'equation', 'of', 'state', 'is', 'not', 'yet', 'well', 'constrained', 'therefore', 'one', 'can', 'construct', 'a', 'family', 'of', 'equations', 'of', 'state', 'by', 'bridging', 'the', 'uncertain', 'region', 'from', 'the', 'uniquely', 'given', 'highenergy', 'density', 'region', 'part', 'to', 'a', 'hadronic', 'equation', 'of', 'state', 'by', 'suitable', 'interpolation', 'together', 'with', 'the', 'extrapolation', 'to', 'nonzero', 'baryon', 'density', 'by', 'means', 'of', 'the', 'quasiparticle', 'model', 'we', 'present', 'a', 'series', 'of', 'tests', 'of', 'the', 'model', 'discuss', 'the', 'chiral', 'extrapolation', 'and', 'the', 'role', 'of', 'landau', 'damping', 'we', 'also', 'briefly', 'sketch', 'the', 'path', 'of', 'cosmic', 'matter', 'in', 'the', 'early', 'universe', 'in', 'the', 'phase', 'diagram']] | [-0.11028512049504695, 0.19695190542543117, -0.12788227914618502, 0.05978857106832868, -0.02286402474288389, -0.04636971343609487, 0.04684146427294899, 0.3116187969604449, -0.23460073143631358, -0.3101021948831607, 0.04944860229524639, -0.2842648033260929, -0.03268964492328326, 0.12092381607688152, 0.056197783609842074, 0.05055993786139518, 0.03955822253038656, 0.047952324300946564, -0.0760736722666886, -0.18541530468819303, 0.329423728581194, 0.0986087281945283, 0.25152492367298057, 0.08291147756303505, 0.07765813093084367, -0.028253961242417233, -0.005347163546599031, -0.0018723089918956993, -0.17922673828506508, 0.044756438597777906, 0.2448270344464629, 0.038196196619085736, 0.21394156429610037, -0.4077223752457533, -0.2358079160115702, 0.07083641977905533, 0.15567026540538678, 0.14584207963285192, -0.06167268935990121, -0.2610632404222252, 0.0380517005087426, -0.20445911878407558, -0.19868552768371583, -0.06287242539924054, -0.02152282751009146, 0.012663997032589957, -0.2540945801507936, 0.13795688057225053, -0.03673212182807869, 0.02574521411742302, -0.09289000561585221, -0.1371578903845656, -0.0304723401848221, 0.042098451616178895, 0.020329617392647756, 0.08580273555400811, 0.12166187255672231, -0.19146135842835427, -0.058564476968188374, 0.423905291722911, -0.08249488900312922, -0.10774749775434503, 0.1399581604376898, -0.1755611468366816, -0.1050739612760057, 0.16817536952280618, 0.13697897666640094, 0.0989558884452975, -0.15984954674415847, 0.08878956215205944, -0.012544458013993936, 0.16197811866320833, 0.01186764172584929, 0.017526565628263286, 0.24204707012486662, 0.17366314697605761, 0.0013173446579842095, 0.11554473348327779, -0.06966887265684676, -0.11669295879011476, -0.36468949624458735, -0.09930678042554245, -0.20926612977123593, 0.037668207849853856, -0.0989771307212328, -0.1569518527039182, 0.38834455581555455, 0.14018777939809127, 0.22316910256622635, -0.013507325730072508, 0.26970434449873404, 0.14077591668360329, -0.0002721753549871978, 0.07994434997722831, 0.2515715207175716, 0.1762401720751887, 0.12112123781658987, -0.25623926811892056, 0.018767080674676792, 0.08908288818726212] |
708.3323 | Enhancement of the Gilbert damping constant due to spin pumping in
noncollinear ferromagnet/nonmagnet/ferromagnet trilayer systems | We analyzed the enhancement of the Gilbert damping constant due to spin
pumping in non-collinear ferromagnet / non-magnet / ferromagnet trilayer
systems. We show that the Gilbert damping constant depends both on the
precession angle of the magnetization of the free layer and on the direction of
the magntization of the fixed layer. We find the condition to be satisfied to
realize strong enhancement of the Gilbert damping constant.
| cond-mat.mes-hall cond-mat.other | we analyzed the enhancement of the gilbert damping constant due to spin pumping in noncollinear ferromagnet nonmagnet ferromagnet trilayer systems we show that the gilbert damping constant depends both on the precession angle of the magnetization of the free layer and on the direction of the magntization of the fixed layer we find the condition to be satisfied to realize strong enhancement of the gilbert damping constant | [['we', 'analyzed', 'the', 'enhancement', 'of', 'the', 'gilbert', 'damping', 'constant', 'due', 'to', 'spin', 'pumping', 'in', 'noncollinear', 'ferromagnet', 'nonmagnet', 'ferromagnet', 'trilayer', 'systems', 'we', 'show', 'that', 'the', 'gilbert', 'damping', 'constant', 'depends', 'both', 'on', 'the', 'precession', 'angle', 'of', 'the', 'magnetization', 'of', 'the', 'free', 'layer', 'and', 'on', 'the', 'direction', 'of', 'the', 'magntization', 'of', 'the', 'fixed', 'layer', 'we', 'find', 'the', 'condition', 'to', 'be', 'satisfied', 'to', 'realize', 'strong', 'enhancement', 'of', 'the', 'gilbert', 'damping', 'constant']] | [-0.2788723472675139, 0.1718462461351671, 0.028784228495858384, -0.018939222505485468, -0.11603702303854692, -0.11842403047238335, 0.0393541361431055, 0.36155356173262454, -0.3197958029975945, -0.2767921548731851, 0.016825649644791458, -0.23857628517417293, -0.10335571109317243, 0.23565184735608372, 0.051548641795913376, 0.00959033920750671, -0.04084960584331191, -0.023448190849387283, -0.04623142779085108, -0.20802192235097403, 0.33236322392512, 0.025224222519406765, 0.3142882398132122, 0.10711274497831862, 0.11866655633220392, 0.017384495833098437, 0.1316765032384093, 0.0014949624504273136, -0.21738381997497389, 0.002708629916676066, 0.12493461951133654, -0.14760121127421205, 0.15260404410461584, -0.423736548065349, -0.1512251629222495, -0.047203012043610215, 0.11027587220693628, 0.18448960421268235, 0.0024065655853712196, -0.2147999612445181, 0.06733310030716838, -0.15375364020424473, -0.11634151157076386, -0.05202511528676206, 0.005284361601242739, -0.018915342463349753, -0.3069270516068421, 0.11176709212701429, 0.17954555435360156, 0.05496205417721561, -0.10056375910415116, -0.11849010587585243, -0.08916543861568878, 0.06659404058573824, 0.1264198648454057, 0.07234648168510334, 0.17620506509432965, -0.14593348482793028, -0.10887857752315926, 0.331384759847865, -0.1548691074007586, -0.20199251364013462, 0.09127162492156705, -0.2133972869169983, -0.021542782909377958, 0.08599724797673072, 0.152222426565872, 0.09576634686637783, -0.06412066481160847, 0.09048482626023928, -0.0005324880282084147, 0.19803023970488345, 0.10218189078185594, 0.04577232135995997, 0.14671780739092466, 0.14361900569532404, 0.0706925164583178, 0.16759275257760292, -0.13229352732323055, -0.04964040733422294, -0.24446924696817543, -0.13212511823935943, -0.22575510495737422, 0.09583452180253738, -0.106839471605781, -0.1778623713603751, 0.39979716217512207, 0.19165262764418553, 0.16325096557424826, -0.023578326743462996, 0.26296360632686905, 0.21453445725086512, 0.07522489257142738, 0.06755132352312405, 0.3352063673294403, 0.20517151505742787, 0.11692464027102246, -0.3913903138741399, 0.12673253489122022, -0.005000651584740615] |
708.3324 | Single-crystal growth and magnetic properties of the metallic molybdate
pyrochlore Sm2Mo2O7 | We have successfully grown cm3-size single crystals of the
metallic-ferromagnet Sm2Mo2O7 by the floating-zone method using an infrared-red
image furnace. The growth difficulties and the remedies found using a 2-mirror
image furnace are discussed. Magnetization studies along the three crystalline
axes of the compound are presented and discussed based on our recent proposal
of an ordered spin-ice ground state for this compound
| cond-mat.str-el cond-mat.mtrl-sci | we have successfully grown cm3size single crystals of the metallicferromagnet sm2mo2o7 by the floatingzone method using an infraredred image furnace the growth difficulties and the remedies found using a 2mirror image furnace are discussed magnetization studies along the three crystalline axes of the compound are presented and discussed based on our recent proposal of an ordered spinice ground state for this compound | [['we', 'have', 'successfully', 'grown', 'cm3size', 'single', 'crystals', 'of', 'the', 'metallicferromagnet', 'sm2mo2o7', 'by', 'the', 'floatingzone', 'method', 'using', 'an', 'infraredred', 'image', 'furnace', 'the', 'growth', 'difficulties', 'and', 'the', 'remedies', 'found', 'using', 'a', '2mirror', 'image', 'furnace', 'are', 'discussed', 'magnetization', 'studies', 'along', 'the', 'three', 'crystalline', 'axes', 'of', 'the', 'compound', 'are', 'presented', 'and', 'discussed', 'based', 'on', 'our', 'recent', 'proposal', 'of', 'an', 'ordered', 'spinice', 'ground', 'state', 'for', 'this', 'compound']] | [-0.06952721931797973, 0.12399261899862707, -0.07566358158522743, -0.045470307922480094, -0.03503701161845761, -0.09263407682873688, 0.04191772892313488, 0.4476472405101157, -0.21903709243288486, -0.26576307876887967, 0.1170317764488696, -0.2901666163135383, -0.09158804681215246, 0.2325653048011206, -0.011292769447347875, 0.10107544335138084, 0.005384259178476818, -0.01940484344959259, -0.08578060218330347, -0.2845267199484979, 0.28901264674456445, 0.041424011227564284, 0.37833444995142645, 0.00584303271972527, 0.12279473869445717, -0.01597596318224224, 0.08016747785574299, 0.02198827970709841, -0.16662151393306962, 0.10754469111246073, 0.2053947371777968, 0.014372862701825166, 0.18549811074478648, -0.4497142796546726, -0.23214318710221452, -0.044664998763730215, 0.10287746997013436, 0.11674830544803103, -0.18411988101433963, -0.31526170273200943, 0.09883012016445904, -0.1229241528879788, -0.10554870425612997, -0.09656021101558107, -0.0935761308676358, 0.012599563775623565, -0.18175294768002073, 0.04631349744306783, 0.07255347086100887, 0.12179846589658726, -0.12071104596321613, -0.1942486613357471, -0.03783448795409147, 0.044419771012992174, 0.06454440798231606, 0.044903435839055955, 0.14255746161186342, -0.07179028617407558, -0.1743203416719275, 0.3606445321465953, -0.0011843178989523549, -0.10974585606669218, 0.12937181126089545, -0.10188980608925981, -0.15615491857910055, 0.15961093790197778, 0.07542003416535208, 0.1517420661777763, -0.162757030475127, 0.0316501479434102, -0.04577240851407839, 0.16258733476496348, 0.06017257270040149, -0.04621329359015671, 0.21148277718131825, 0.23992032324106005, -0.07662284803987181, 0.21376610196874304, -0.17679729379350478, -0.04276058729737997, -0.20943703549377368, -0.20324060281983308, -0.2153720786416177, -0.014746699829475355, -0.032751499177489464, -0.17604511092274877, 0.3854077631149883, 0.13526142945797262, 0.18655562830173364, -0.08686839923325737, 0.2585571703769393, 0.06398608398493537, 0.06446788254809582, -0.010846079790854227, 0.22323705069720745, 0.13863991288926011, 0.10002235439211382, -0.2355624099530406, 0.10140159519456358, 0.014800817145318803] |
708.3325 | Generalised compact spheres in electric fields | We present exact solutions to the Einstein-Maxwell system of equations in
spherically symmetric gravitational fields with a specified form of the
electric field intensity. The condition of pressure isotropy yields a
difference equation with variable, rational coefficients. In an earlier
treatment this condition was integrated by first transforming it to a
hypergeometric equation. We demonstrate that it is possible to obtain a more
general class of solutions to the Einstein-Maxwell system both in the form of
special functions and elementary functions. Our results contain particular
solutions found previously including models of charged relativistic spheres and
uncharged neutron star models.
| gr-qc | we present exact solutions to the einsteinmaxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity the condition of pressure isotropy yields a difference equation with variable rational coefficients in an earlier treatment this condition was integrated by first transforming it to a hypergeometric equation we demonstrate that it is possible to obtain a more general class of solutions to the einsteinmaxwell system both in the form of special functions and elementary functions our results contain particular solutions found previously including models of charged relativistic spheres and uncharged neutron star models | [['we', 'present', 'exact', 'solutions', 'to', 'the', 'einsteinmaxwell', 'system', 'of', 'equations', 'in', 'spherically', 'symmetric', 'gravitational', 'fields', 'with', 'a', 'specified', 'form', 'of', 'the', 'electric', 'field', 'intensity', 'the', 'condition', 'of', 'pressure', 'isotropy', 'yields', 'a', 'difference', 'equation', 'with', 'variable', 'rational', 'coefficients', 'in', 'an', 'earlier', 'treatment', 'this', 'condition', 'was', 'integrated', 'by', 'first', 'transforming', 'it', 'to', 'a', 'hypergeometric', 'equation', 'we', 'demonstrate', 'that', 'it', 'is', 'possible', 'to', 'obtain', 'a', 'more', 'general', 'class', 'of', 'solutions', 'to', 'the', 'einsteinmaxwell', 'system', 'both', 'in', 'the', 'form', 'of', 'special', 'functions', 'and', 'elementary', 'functions', 'our', 'results', 'contain', 'particular', 'solutions', 'found', 'previously', 'including', 'models', 'of', 'charged', 'relativistic', 'spheres', 'and', 'uncharged', 'neutron', 'star', 'models']] | [-0.14126646571505738, 0.06544450815485418, -0.09583426680359425, 0.059952322624134594, -0.10029704448287234, -0.13012975880481076, -0.03957406423205152, 0.3147008822045543, -0.18475533742457628, -0.2867698074704168, 0.05389780943832276, -0.2742524544045216, -0.13260576212978592, 0.18394031178093317, 0.0009183787712545106, 0.0603294745793171, 0.021084693641486494, 0.04843533072488928, -0.10338548277187246, -0.26292576023020003, 0.3685277050332815, 0.0009044529870152473, 0.2333503235037429, 0.0016673018572607426, 0.12862220012013698, -0.028622145966786628, 0.007824406084237677, 0.032964931175376126, -0.14499659790468433, 0.07474528440283705, 0.22415111396754822, 0.09951151172733969, 0.1944762746511836, -0.41865186324822856, -0.21465430060646148, 0.10304973294224704, 0.10263641983872712, 0.154047537952511, -0.0898892304825072, -0.27852468934813235, 0.05990651263996507, -0.18640904925349686, -0.22010807219347117, -0.07338873580606146, 0.04012040552245735, 0.07231206596462113, -0.309887504844804, 0.10211490671329125, 0.06444597935346379, -0.0024934043787946604, -0.1814732994141076, -0.08902980043021304, -0.002654427895322442, 0.03550069686025381, 0.09594749426469207, 0.034661912814375355, 0.08162020414954785, -0.17103952641429548, -0.0724713820211514, 0.3871973482797844, -0.07850832757869303, -0.287823911878572, 0.1490083308326024, -0.17381056278210247, -0.10786701049279383, 0.14895806250496382, 0.15593716894003629, 0.21233826975874376, -0.19114163601676923, 0.10178699386141479, -0.07163071490335043, 0.16400948823594272, 0.09936826916957142, -0.03043009058250152, 0.20039630207148465, 0.0786034590258931, 0.020602896198103526, 0.17769853188185905, 0.019098896980097497, -0.11944457812462886, -0.33781025155607347, -0.15701423343059354, -0.09389433523359582, 0.0992510387782158, -0.1046312515000046, -0.2158937801541102, 0.36488858657898476, 0.09950766538392113, 0.10452596806083815, 0.04874116569907978, 0.23914469063583046, 0.18214752320717606, 0.04053457821672312, 0.07875287647105077, 0.24083702691896547, 0.19068729734716167, 0.10862131837303891, -0.1709341193511706, -0.01896175450993457, 0.09914384748683208] |
708.3326 | On the moduli stack of commutative, 1-parameter formal Lie groups | We attempt to develop a general algebro-geometric study of the moduli stack
of commutative, 1-parameter formal Lie groups. We emphasize the pro-algebraic
structure of this stack: it is the inverse limit, over varying n, of moduli
stacks of n-buds, and these latter stacks are algebraic. Our main results
pertain to aspects of the height stratification relative to fixed prime p on
the stacks of buds and formal Lie groups. We conclude with a largely expository
account of some foundational material on limits in bicategories.
| math.AG math.CT | we attempt to develop a general algebrogeometric study of the moduli stack of commutative 1parameter formal lie groups we emphasize the proalgebraic structure of this stack it is the inverse limit over varying n of moduli stacks of nbuds and these latter stacks are algebraic our main results pertain to aspects of the height stratification relative to fixed prime p on the stacks of buds and formal lie groups we conclude with a largely expository account of some foundational material on limits in bicategories | [['we', 'attempt', 'to', 'develop', 'a', 'general', 'algebrogeometric', 'study', 'of', 'the', 'moduli', 'stack', 'of', 'commutative', '1parameter', 'formal', 'lie', 'groups', 'we', 'emphasize', 'the', 'proalgebraic', 'structure', 'of', 'this', 'stack', 'it', 'is', 'the', 'inverse', 'limit', 'over', 'varying', 'n', 'of', 'moduli', 'stacks', 'of', 'nbuds', 'and', 'these', 'latter', 'stacks', 'are', 'algebraic', 'our', 'main', 'results', 'pertain', 'to', 'aspects', 'of', 'the', 'height', 'stratification', 'relative', 'to', 'fixed', 'prime', 'p', 'on', 'the', 'stacks', 'of', 'buds', 'and', 'formal', 'lie', 'groups', 'we', 'conclude', 'with', 'a', 'largely', 'expository', 'account', 'of', 'some', 'foundational', 'material', 'on', 'limits', 'in', 'bicategories']] | [-0.19772401974951648, 0.0320423518262624, -0.12475914515958852, 0.0941011875710753, -0.12229724292620926, -0.06650907786405948, 0.04699179576429348, 0.3739773745547576, -0.33387270408222475, -0.25428744988987245, 0.0881158255744748, -0.19434364285903521, -0.13017273456677345, 0.1975358514092773, -0.17183436293446694, -0.04822681214469653, -0.012877994688250214, 0.024343116371611875, -0.071615603034306, -0.3285376898276743, 0.4596328773053296, -0.016716626371784383, 0.2716849841491645, 0.02282775233847549, 0.0717387184646564, -1.2645542801144611e-05, -0.059763075211590314, -0.008545706452554968, -0.17001926614510188, 0.172341635498409, 0.33130311290452996, 0.008107095959607557, 0.18423808799461877, -0.41591584725103464, -0.13846636780100055, 0.1144471130648022, 0.1412546782507505, 0.060539677413741506, 0.028619152345099902, -0.24923564964927822, 0.13697867194213062, -0.15888431020844054, -0.12141357930040503, -0.050140102921300625, 0.052627420310963346, 0.059469370617452694, -0.10112406054851095, -0.050637023624436686, 0.11582863971309425, 0.1605939438232748, -0.10379379044892828, -0.12903556638083094, -0.02435128070436508, 0.09970036111435437, 0.04369299729489329, -0.026062746675325984, 0.14589261299234826, -0.10787245735290449, -0.058999028011976956, 0.37231254962508575, -0.028580867965896446, -0.1609716775815889, 0.16304720533136502, -0.1308809001649539, -0.18300813950418707, 0.11032589622604919, 0.11583957244384002, 0.16004834099706397, 0.0035071585948736102, 0.1815728898179796, -0.10816514639026788, 0.11371118362140224, 0.05319107287417514, -0.004946742130370519, 0.2012146657602076, 0.1688801513322775, 0.01753309894218502, 0.11886256989596569, 0.020137903168348664, -0.04941599685923163, -0.40299249090344075, -0.18810474162876425, -0.006103267736104597, 0.15654983623963165, -0.09894849627569083, -0.19296499715938445, 0.3888404533738293, 0.14322164375334978, 0.1975694565461522, 0.11773751134120197, 0.2613154301330088, 0.031177494648271745, 0.047502700093550135, -0.01336290235126234, 0.15893552326267663, 0.23724643919751587, -0.009782000171323588, -0.11631489443559065, -0.02852960346064654, 0.13286473476945096] |
708.3327 | Effects of Unparticles on Running of Gauge Couplings | Unparticles charged under a gauge group can contribute to the running of the
gauge coupling. We show that a scalar unparticle of scaling dimension d
contributes to the \beta function a term that is (2-d) times that from a scalar
particle in the same representation. This result has important implications on
asymptotic freedom. An unparticle with d>2, in contrast to its matter
counterpart, can speed up the approach to asymptotic freedom for a non-Abelian
gauge theory and has the tendency to make an Abelian theory also asymptotically
free. For not spoiling the excellent agreement of the standard model (SM) with
precision tests, the infrared cut-off, m, of such an unparticle would be high
but might still be reachable at colliders such as LHC and ILC. Furthermore, if
the unparticle scale \Lambda_\calU is high enough, unparticles could
significantly modify the unification pattern of the SM gauge couplings. For
instance, with 3 scalar unparticles of d\sim 2.5 in the adjoint representation
of the strong gauge group but neutral under the electroweak one, the three
gauge couplings would unify at a scale of \sim 8\times 10^{12} {\rm GeV}, which
is several orders of magnitude below the supersymmetric unification scale.
| hep-ph | unparticles charged under a gauge group can contribute to the running of the gauge coupling we show that a scalar unparticle of scaling dimension d contributes to the beta function a term that is 2d times that from a scalar particle in the same representation this result has important implications on asymptotic freedom an unparticle with d2 in contrast to its matter counterpart can speed up the approach to asymptotic freedom for a nonabelian gauge theory and has the tendency to make an abelian theory also asymptotically free for not spoiling the excellent agreement of the standard model sm with precision tests the infrared cutoff m of such an unparticle would be high but might still be reachable at colliders such as lhc and ilc furthermore if the unparticle scale lambda_calu is high enough unparticles could significantly modify the unification pattern of the sm gauge couplings for instance with 3 scalar unparticles of dsim 25 in the adjoint representation of the strong gauge group but neutral under the electroweak one the three gauge couplings would unify at a scale of sim 8times 1012 rm gev which is several orders of magnitude below the supersymmetric unification scale | [['unparticles', 'charged', 'under', 'a', 'gauge', 'group', 'can', 'contribute', 'to', 'the', 'running', 'of', 'the', 'gauge', 'coupling', 'we', 'show', 'that', 'a', 'scalar', 'unparticle', 'of', 'scaling', 'dimension', 'd', 'contributes', 'to', 'the', 'beta', 'function', 'a', 'term', 'that', 'is', '2d', 'times', 'that', 'from', 'a', 'scalar', 'particle', 'in', 'the', 'same', 'representation', 'this', 'result', 'has', 'important', 'implications', 'on', 'asymptotic', 'freedom', 'an', 'unparticle', 'with', 'd2', 'in', 'contrast', 'to', 'its', 'matter', 'counterpart', 'can', 'speed', 'up', 'the', 'approach', 'to', 'asymptotic', 'freedom', 'for', 'a', 'nonabelian', 'gauge', 'theory', 'and', 'has', 'the', 'tendency', 'to', 'make', 'an', 'abelian', 'theory', 'also', 'asymptotically', 'free', 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708.3328 | Electron-electron Relaxation in Disordered Interacting Systems | We study the relaxation of a non-equilibrium carrier distribution under the
influence of the electron-electron interaction in the presence of disorder.
Based on the Anderson model, our Hamiltonian is composed from a single particle
part including the disorder and a two-particle part accounting for the Coulomb
interaction. We apply the equation-of-motion approach for the density matrix,
which provides a fully microscopic description of the relaxation. Our results
show that the nonequlibrium distribution in this closed and internally
interacting system relaxes exponentially fast during the initial dynamics. This
fast relaxation can be described by a phenomenological damping rate. The total
single particle energy decreases in the redistribution process, keeping the
total energy of the system fixed. It turns out that the relaxation rate
decreases with increasing disorder.
| cond-mat.dis-nn cond-mat.str-el | we study the relaxation of a nonequilibrium carrier distribution under the influence of the electronelectron interaction in the presence of disorder based on the anderson model our hamiltonian is composed from a single particle part including the disorder and a twoparticle part accounting for the coulomb interaction we apply the equationofmotion approach for the density matrix which provides a fully microscopic description of the relaxation our results show that the nonequlibrium distribution in this closed and internally interacting system relaxes exponentially fast during the initial dynamics this fast relaxation can be described by a phenomenological damping rate the total single particle energy decreases in the redistribution process keeping the total energy of the system fixed it turns out that the relaxation rate decreases with increasing disorder | [['we', 'study', 'the', 'relaxation', 'of', 'a', 'nonequilibrium', 'carrier', 'distribution', 'under', 'the', 'influence', 'of', 'the', 'electronelectron', 'interaction', 'in', 'the', 'presence', 'of', 'disorder', 'based', 'on', 'the', 'anderson', 'model', 'our', 'hamiltonian', 'is', 'composed', 'from', 'a', 'single', 'particle', 'part', 'including', 'the', 'disorder', 'and', 'a', 'twoparticle', 'part', 'accounting', 'for', 'the', 'coulomb', 'interaction', 'we', 'apply', 'the', 'equationofmotion', 'approach', 'for', 'the', 'density', 'matrix', 'which', 'provides', 'a', 'fully', 'microscopic', 'description', 'of', 'the', 'relaxation', 'our', 'results', 'show', 'that', 'the', 'nonequlibrium', 'distribution', 'in', 'this', 'closed', 'and', 'internally', 'interacting', 'system', 'relaxes', 'exponentially', 'fast', 'during', 'the', 'initial', 'dynamics', 'this', 'fast', 'relaxation', 'can', 'be', 'described', 'by', 'a', 'phenomenological', 'damping', 'rate', 'the', 'total', 'single', 'particle', 'energy', 'decreases', 'in', 'the', 'redistribution', 'process', 'keeping', 'the', 'total', 'energy', 'of', 'the', 'system', 'fixed', 'it', 'turns', 'out', 'that', 'the', 'relaxation', 'rate', 'decreases', 'with', 'increasing', 'disorder']] | [-0.15298156986486108, 0.18622818737409064, -0.10241705768128177, 0.048074055457142266, 0.03522215647408591, -0.09680784378008592, 0.03251847111073042, 0.3048606297437338, -0.27745501467558953, -0.26372205684449346, 0.01735429042933642, -0.2915694900226617, -0.12016764177112943, 0.1379540962987535, 0.05575303452473784, 0.01315554336363834, 0.07088426620300327, 0.01243876389020847, -0.06794699776126811, -0.20555013100457717, 0.2955926299420378, 0.08764537878792793, 0.2956956389899706, 0.0962752961892716, 0.07542558316703117, 0.1110557437401324, 0.03207635498764585, 0.019290901997010224, -0.10524700161881305, 0.04945424289095201, 0.15414327065301467, 0.02662244101705414, 0.28029613103717566, -0.43692439266790944, -0.23310219159438497, 0.03186739399282646, 0.14227702738606327, 0.16156741328045932, -0.05874790050669588, -0.24327425911490405, 0.011339360832362361, -0.1972371646025706, -0.15145873912935337, -0.04744611200248261, 0.026931688300378266, 0.04361530338850109, -0.29127061980155605, 0.14355046228165663, 0.08261687145198858, -0.001308045985679778, -0.10597506730211159, -0.07014867563044563, -0.01570468014919214, 0.10363893163213063, 0.05118959386429254, 0.02900493166609002, 0.20136493806993322, -0.12335918130840928, -0.037179495596016444, 0.3550119487243512, -0.10013194766361266, -0.20180604351122702, 0.19125068329999018, -0.12943212971431278, -0.08922343645318752, 0.1903791413494637, 0.13925505875949823, 0.1161323916351807, -0.16546621238295403, 0.1006126705241701, -0.011105867462151402, 0.17597963611617506, -0.02855332876511273, 0.03157347906565678, 0.19990237556870968, 0.22603866342309167, 0.06603468323702968, 0.17962208299090096, -0.105134676401836, -0.15931968266395705, -0.3095080526841302, -0.11866277078580525, -0.2301566646256972, 0.08826510401050901, -0.08005776691471322, -0.15344310646492337, 0.4395351199359755, 0.14513723052195496, 0.20361836806922737, 0.054214519769182457, 0.2667016163468361, 0.19081839146868637, 0.045481774139232815, 0.0655166951732503, 0.24603498254769615, 0.1202275933908476, 0.08717635448002034, -0.35046505154339624, 0.07668257044583913, 0.0403791270736191] |
708.3329 | Finite dimensional modules and perpendicular subcategories | We explain how, under some hypotheses, one can construct a sequence of finite
dimensional $kG$-modules that lie in certain prescribed additive subcategories,
but whose direct limits do not. We use these to show that many of the
triangulated quotients of $\Mod$ are not generated, as triangulated categories,
by the corresponding quotient of $\mod$ considered as a full subcategory.
| math.RT | we explain how under some hypotheses one can construct a sequence of finite dimensional kgmodules that lie in certain prescribed additive subcategories but whose direct limits do not we use these to show that many of the triangulated quotients of mod are not generated as triangulated categories by the corresponding quotient of mod considered as a full subcategory | [['we', 'explain', 'how', 'under', 'some', 'hypotheses', 'one', 'can', 'construct', 'a', 'sequence', 'of', 'finite', 'dimensional', 'kgmodules', 'that', 'lie', 'in', 'certain', 'prescribed', 'additive', 'subcategories', 'but', 'whose', 'direct', 'limits', 'do', 'not', 'we', 'use', 'these', 'to', 'show', 'that', 'many', 'of', 'the', 'triangulated', 'quotients', 'of', 'mod', 'are', 'not', 'generated', 'as', 'triangulated', 'categories', 'by', 'the', 'corresponding', 'quotient', 'of', 'mod', 'considered', 'as', 'a', 'full', 'subcategory']] | [-0.14442346072033177, 0.06300719402497634, -0.0740985978748007, 0.09156446945692959, -0.08006415643793499, -0.13173991642442756, -0.023527782558913118, 0.4127312975229117, -0.3901959119749994, -0.21758897583289394, 0.12272623853139772, -0.17030442053259448, -0.13104913577212599, 0.199235238971847, -0.21430854682393116, -0.03420344027811019, 0.09589206477916189, 0.14266211974659357, -0.04543811735568632, -0.30686667707652365, 0.42837957710284613, -0.0707439869995518, 0.2023583978157619, 0.013260396256649482, 0.12157336526132863, -0.048048894073621465, 0.006244961798576446, 0.061834149680839015, -0.15709844293551528, 0.10963954708282032, 0.34678025480263447, 0.06314640022525243, 0.20912453057726138, -0.40955245331459644, -0.13791701615113636, 0.23447020347069564, 0.17341685124094888, 0.02586498512918579, -0.004223250494948749, -0.2729293170449292, 0.21588863326429292, -0.2500880398558742, -0.06534829499312388, -0.12169733741481242, 0.04232532938878084, 0.042328681748617314, -0.23372284916293776, -0.02865634234782694, 0.13727765511079082, 0.10649055655210696, -0.11057740063326241, -0.10636713014562325, -0.1092075785413256, 0.13508068188896466, -0.009612961391243955, -0.048939371579888695, 0.11460280998064012, -0.12785135280375534, -0.13002875206012535, 0.3946208917567956, -0.04273866497558253, -0.2767480502772177, 0.19643497741620602, -0.16619424836645866, -0.15195403494551007, 0.13613775051359472, 0.04029327881490362, 0.13153104032871538, -0.05098768180750053, 0.15567091666964877, -0.16543019076423912, 0.10037879708447847, 0.13556254439152263, 0.021494113567188895, 0.17190900348640722, 0.07175388684945888, 0.013806682123184397, 0.12002446449458085, -0.009052966689241344, 0.008389761992569628, -0.3960411886459795, -0.14249635873169736, -0.11903542776367274, 0.1609689859309081, -0.04760409407227316, -0.19916996698633865, 0.34311336991858893, 0.1557643231484188, 0.2260136023035337, 0.14656068252977625, 0.19831805898615257, 0.019813872050847215, 0.08265735122278847, 0.02163295139526499, 0.12915317685562105, 0.18442341765982967, -0.09786219273469057, -0.06021127272959285, -0.03947547912308625, 0.16109535916997442] |
708.333 | Swift/XRT monitoring of five orbital cycles of LSI +61 303 | LSI +61 303 is one of the most interesting high-mass X-ray binaries owing to
its spatially resolved radio emission and its TeV emission, generally
attributed to non-thermal particles in an accretion-powered relativistic jet or
in the termination shock of the relativistic wind of a young pulsar. Also, the
nature of the compact object is still debated. Only LS 5039 and PSR B1259-63
(which hosts a non-accreting millisecond pulsar) have similar characteristics.
We study the X-ray emission from LSI +61 303 covering both short-term and
orbital variability. We also investigate the source spectral properties in the
soft X-ray (0.3-10 keV) energy range. 25 snapshot observations of LSI +61 303
have been collected in 2006 with the XRT instrument on-board the Swift
satellite over a period of four months, corresponding to about five orbital
cycles. Since individual data sets have too few counts for a meaningful
spectral analysis, we extracted a cumulative spectrum. The count rate folded at
the orbital phase shows a clear modulation pattern at the 26.5 days period and
suggests that the X-ray peak occurs around phase 0.65. Moreover, the X-ray
emission appears to be variable on a timescale of ~1 ks. The cumulative
spectrum is well described by an absorbed power-law model, with hydrogen column
density Nh=(5.7+/-0.3)E+21 cm^-2 and photon index 1.78+/-0.05. No accretion
disk signatures, such as an iron line, are found in the spectrum.
| astro-ph | lsi 61 303 is one of the most interesting highmass xray binaries owing to its spatially resolved radio emission and its tev emission generally attributed to nonthermal particles in an accretionpowered relativistic jet or in the termination shock of the relativistic wind of a young pulsar also the nature of the compact object is still debated only ls 5039 and psr b125963 which hosts a nonaccreting millisecond pulsar have similar characteristics we study the xray emission from lsi 61 303 covering both shortterm and orbital variability we also investigate the source spectral properties in the soft xray 0310 kev energy range 25 snapshot observations of lsi 61 303 have been collected in 2006 with the xrt instrument onboard the swift satellite over a period of four months corresponding to about five orbital cycles since individual data sets have too few counts for a meaningful spectral analysis we extracted a cumulative spectrum the count rate folded at the orbital phase shows a clear modulation pattern at the 265 days period and suggests that the xray peak occurs around phase 065 moreover the xray emission appears to be variable on a timescale of 1 ks the cumulative spectrum is well described by an absorbed powerlaw model with hydrogen column density nh5703e21 cm2 and photon index 178005 no accretion disk signatures such as an iron line are found in the spectrum | [['lsi', '61', '303', 'is', 'one', 'of', 'the', 'most', 'interesting', 'highmass', 'xray', 'binaries', 'owing', 'to', 'its', 'spatially', 'resolved', 'radio', 'emission', 'and', 'its', 'tev', 'emission', 'generally', 'attributed', 'to', 'nonthermal', 'particles', 'in', 'an', 'accretionpowered', 'relativistic', 'jet', 'or', 'in', 'the', 'termination', 'shock', 'of', 'the', 'relativistic', 'wind', 'of', 'a', 'young', 'pulsar', 'also', 'the', 'nature', 'of', 'the', 'compact', 'object', 'is', 'still', 'debated', 'only', 'ls', '5039', 'and', 'psr', 'b125963', 'which', 'hosts', 'a', 'nonaccreting', 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708.3331 | A radio air shower surface detector as an extension for IceCube and
IceTop | The IceCube neutrino detector is built into the Antarctic ice sheet at the
South Pole to measure high energy neutrinos. For this, 4800 photomultiplier
tubes (PMTs) are being deployed at depths between 1450 and 2450 meters into the
ice to measure neutrino induced charged particles like muons. IceTop is a
surface air shower detector consisting of 160 Cherenkov ice tanks located on
top of IceCube. To extend IceTop, a radio air shower detector could be built to
significantly increase the sensitivity at higher shower energies and for
inclined showers. As air showers induced by cosmic rays are a major part of the
muonic background in IceCube, IceTop is not only an air shower detector, but
also a veto to reduce the background in IceCube. Air showers are detectable by
radio signals with a radio surface detector. The major emission process is the
coherent synchrotron radiation emitted by e+ e- shower particles in the Earths
magnetic field (geosynchrotron effect). Simulations of the expected radio
signals of air showers are shown. The sensitivity and the energy threshold of
different antenna field configurations are estimated.
| astro-ph | the icecube neutrino detector is built into the antarctic ice sheet at the south pole to measure high energy neutrinos for this 4800 photomultiplier tubes pmts are being deployed at depths between 1450 and 2450 meters into the ice to measure neutrino induced charged particles like muons icetop is a surface air shower detector consisting of 160 cherenkov ice tanks located on top of icecube to extend icetop a radio air shower detector could be built to significantly increase the sensitivity at higher shower energies and for inclined showers as air showers induced by cosmic rays are a major part of the muonic background in icecube icetop is not only an air shower detector but also a veto to reduce the background in icecube air showers are detectable by radio signals with a radio surface detector the major emission process is the coherent synchrotron radiation emitted by e e shower particles in the earths magnetic field geosynchrotron effect simulations of the expected radio signals of air showers are shown the sensitivity and the energy threshold of different antenna field configurations are estimated | [['the', 'icecube', 'neutrino', 'detector', 'is', 'built', 'into', 'the', 'antarctic', 'ice', 'sheet', 'at', 'the', 'south', 'pole', 'to', 'measure', 'high', 'energy', 'neutrinos', 'for', 'this', '4800', 'photomultiplier', 'tubes', 'pmts', 'are', 'being', 'deployed', 'at', 'depths', 'between', '1450', 'and', '2450', 'meters', 'into', 'the', 'ice', 'to', 'measure', 'neutrino', 'induced', 'charged', 'particles', 'like', 'muons', 'icetop', 'is', 'a', 'surface', 'air', 'shower', 'detector', 'consisting', 'of', '160', 'cherenkov', 'ice', 'tanks', 'located', 'on', 'top', 'of', 'icecube', 'to', 'extend', 'icetop', 'a', 'radio', 'air', 'shower', 'detector', 'could', 'be', 'built', 'to', 'significantly', 'increase', 'the', 'sensitivity', 'at', 'higher', 'shower', 'energies', 'and', 'for', 'inclined', 'showers', 'as', 'air', 'showers', 'induced', 'by', 'cosmic', 'rays', 'are', 'a', 'major', 'part', 'of', 'the', 'muonic', 'background', 'in', 'icecube', 'icetop', 'is', 'not', 'only', 'an', 'air', 'shower', 'detector', 'but', 'also', 'a', 'veto', 'to', 'reduce', 'the', 'background', 'in', 'icecube', 'air', 'showers', 'are', 'detectable', 'by', 'radio', 'signals', 'with', 'a', 'radio', 'surface', 'detector', 'the', 'major', 'emission', 'process', 'is', 'the', 'coherent', 'synchrotron', 'radiation', 'emitted', 'by', 'e', 'e', 'shower', 'particles', 'in', 'the', 'earths', 'magnetic', 'field', 'geosynchrotron', 'effect', 'simulations', 'of', 'the', 'expected', 'radio', 'signals', 'of', 'air', 'showers', 'are', 'shown', 'the', 'sensitivity', 'and', 'the', 'energy', 'threshold', 'of', 'different', 'antenna', 'field', 'configurations', 'are', 'estimated']] | [-0.07858138948686647, 0.35454268430963803, -0.020948391455061898, 0.1266962492784312, -0.030155966831064158, -0.00232309237849172, -0.0736974990276804, 0.436165934244355, -0.15917814720248047, -0.41061003294333326, 0.04738166455769845, -0.41667766795381084, 0.008530844116818856, 0.1707750178558834, 0.041983911278913474, 0.006530278646335989, 0.15467449674187075, -0.05478520059937632, -0.006025766257892598, -0.1633501357097015, 0.17360263281491595, 0.2841622065855088, 0.281060758264285, 0.14257190103775688, 0.16132792691536413, -0.06516112181982332, -0.07905970575002656, -0.046143778249273425, -0.025993527810007414, 0.02010294880620767, 0.2907264483836735, 0.11214299531203213, 0.029967318555713725, -0.4674839849460993, -0.19907927849319773, 0.13589509448374285, 0.059980626778509516, -0.041105945308047995, 0.00558648510403665, -0.3674296977837662, 0.09583592185863181, -0.21981664528497136, -0.16802486042609785, 0.168081535463948, -0.11089825067812434, -0.008400872041430365, -0.20134236983850004, -0.039181446073388755, -0.04868573267946716, 0.06964185163647366, -0.014783198871025508, -0.1932675423008482, -0.01642960349000622, 0.060294778122704805, 0.0961549442201011, 0.055522219863832815, 0.2632622585739367, -0.12176072331795285, -0.08973391777784614, 0.3587117672048427, -0.06414566766010127, -0.08713188482407522, 0.1568704586128121, -0.2315610822054793, -0.041206824176197684, 0.3276156019879976, 0.22667426206836744, 0.024425951893195755, -0.23747825779143597, 0.007918318359061031, 0.014567467366450128, 0.16094247395605116, 0.15113565104931675, -0.027296052014987384, 0.34456982358440674, 0.2356892948264031, 0.18531748860214764, 0.09855528172120902, -0.2717404143672416, 0.08732427204421793, -0.2920792910371457, -0.09836637270688028, -0.171396714722185, 0.07404629115834334, -0.029325370851198625, -0.16758577718068768, 0.4008732528149427, 0.09400639351928136, 0.07056593470746181, -0.02378698383140695, 0.3688258239692384, -0.019680142182611174, 0.055043189777419545, 0.06202382397848171, 0.3329363641339344, 0.14314184980185518, 0.12950285611377393, -0.17760316898360604, 0.022909570743769897, 0.015561155575726713] |
708.3332 | Predictions from type II see-saw mechanism in SU(5) | We propose a simple, testable, SU(5) model within the context of the type II
neutrino see-saw mechanism. It is based on requiring renormalizability, the
absence of any other matter fields besides those already present in the
Standard Model and consistency with all experimental data. These "minimal"
requirements, together with group-theoretical considerations, uniquely
determine the model and lead to interesting implications. The model predicts
correlation between a light SU(2) triplet boson responsible for the type II
see-saw mechanism and observable proton decay signatures. It also allows for an
enhanced production of doubly charged Higgs particles through the WW fusion
process due to a built-in custodial symmetry. This could also have profound
impact on the explicit realization of electroweak symmetry breaking. The model
also predicts the existence of a light scalar that transforms as a colour octet
and electroweak doublet, with interesting phenomenological consequences.
| hep-ph | we propose a simple testable su5 model within the context of the type ii neutrino seesaw mechanism it is based on requiring renormalizability the absence of any other matter fields besides those already present in the standard model and consistency with all experimental data these minimal requirements together with grouptheoretical considerations uniquely determine the model and lead to interesting implications the model predicts correlation between a light su2 triplet boson responsible for the type ii seesaw mechanism and observable proton decay signatures it also allows for an enhanced production of doubly charged higgs particles through the ww fusion process due to a builtin custodial symmetry this could also have profound impact on the explicit realization of electroweak symmetry breaking the model also predicts the existence of a light scalar that transforms as a colour octet and electroweak doublet with interesting phenomenological consequences | [['we', 'propose', 'a', 'simple', 'testable', 'su5', 'model', 'within', 'the', 'context', 'of', 'the', 'type', 'ii', 'neutrino', 'seesaw', 'mechanism', 'it', 'is', 'based', 'on', 'requiring', 'renormalizability', 'the', 'absence', 'of', 'any', 'other', 'matter', 'fields', 'besides', 'those', 'already', 'present', 'in', 'the', 'standard', 'model', 'and', 'consistency', 'with', 'all', 'experimental', 'data', 'these', 'minimal', 'requirements', 'together', 'with', 'grouptheoretical', 'considerations', 'uniquely', 'determine', 'the', 'model', 'and', 'lead', 'to', 'interesting', 'implications', 'the', 'model', 'predicts', 'correlation', 'between', 'a', 'light', 'su2', 'triplet', 'boson', 'responsible', 'for', 'the', 'type', 'ii', 'seesaw', 'mechanism', 'and', 'observable', 'proton', 'decay', 'signatures', 'it', 'also', 'allows', 'for', 'an', 'enhanced', 'production', 'of', 'doubly', 'charged', 'higgs', 'particles', 'through', 'the', 'ww', 'fusion', 'process', 'due', 'to', 'a', 'builtin', 'custodial', 'symmetry', 'this', 'could', 'also', 'have', 'profound', 'impact', 'on', 'the', 'explicit', 'realization', 'of', 'electroweak', 'symmetry', 'breaking', 'the', 'model', 'also', 'predicts', 'the', 'existence', 'of', 'a', 'light', 'scalar', 'that', 'transforms', 'as', 'a', 'colour', 'octet', 'and', 'electroweak', 'doublet', 'with', 'interesting', 'phenomenological', 'consequences']] | [-0.0640156388768113, 0.20474669457387432, -0.05749023424028616, 0.18177103840393308, -0.14188040922474587, -0.2278932730751735, 0.04721833748290394, 0.3444341351901194, -0.21142231071249803, -0.29096316463563227, 0.0517584108624568, -0.22776811868848007, -0.10550259511498078, 0.106876764366154, 0.03316306333142844, 0.02682272896406726, 0.025414203997852255, 0.024404177084748804, -0.05549878448175765, -0.2124652109686023, 0.3248791990926306, 0.05398432953073315, 0.2785094931793832, 0.10045214845474258, 0.08526951636755052, 0.011099190167544909, -0.004156032607900504, -0.08630713382342332, -0.08357996397601927, 0.10448412306305073, 0.12480030279659049, 0.08716057651424346, 0.12195257844508324, -0.3997281721078227, -0.19222514524491846, 0.16791309569437635, 0.14288984315509212, 0.14779530349843414, -0.15676585752615363, -0.3121217141505068, 0.08407740392000743, -0.210898572334718, -0.1354824319862249, -0.08644442531627826, -0.030648143342237026, -0.10002303334333422, -0.34405496592541607, 0.07786024307186919, 0.004393685964086998, 0.03263233836025367, -0.040345323979149535, -0.11093411383278091, -0.08110010907591754, 0.006143900710092464, 0.14844959579194195, -0.03802830803955735, 0.12540257888728043, -0.18385856751267288, -0.17397395876919994, 0.4365673175894878, -0.07471075613858362, -0.1477619290505995, 0.16761490185974612, -0.09957587604187954, -0.1628147120666231, 0.1004518628428677, 0.14028349430890572, 0.0539863301263991, -0.15760273510970596, 0.1636004057650546, -0.05149519410063053, 0.14789606779354664, -0.0003214937119915242, 0.10898797335693429, 0.2812694834728076, 0.19738207977842276, -0.012337930885825674, 0.06943859208193214, -0.058787776193332295, -0.0886606257179306, -0.4586103290227622, -0.13243486626650874, -0.0368216956160556, 0.023832303388240998, -0.09080927394630559, -0.11121910798665084, 0.4297225563721338, 0.159102564192259, 0.22444590983230253, 0.013553600955072423, 0.26156690422589823, 0.0754637310181377, 0.11988454273308326, 0.0011470333941962937, 0.2838808366648433, 0.14836768846644063, 0.07363213531830361, -0.25535798595208203, 0.04165122201453081, 0.09185297775711916] |
708.3333 | Existence and properties of geometric quotients | In this paper, we study quotients of groupoids and coarse moduli spaces of
stacks in a general setting. Geometric quotients are not always categorical,
but we present a natural topological condition under which a geometric quotient
is categorical. We also show the existence of geometric quotients of finite
flat groupoids and give explicit local descriptions. Exploiting similar
methods, we give an easy proof of the existence of quotients of flat groupoids
with finite stabilizers. As the proofs do not use noetherian methods and are
valid for general algebraic spaces and algebraic stacks, we obtain a slightly
improved version of Keel and Mori's theorem.
| math.AG | in this paper we study quotients of groupoids and coarse moduli spaces of stacks in a general setting geometric quotients are not always categorical but we present a natural topological condition under which a geometric quotient is categorical we also show the existence of geometric quotients of finite flat groupoids and give explicit local descriptions exploiting similar methods we give an easy proof of the existence of quotients of flat groupoids with finite stabilizers as the proofs do not use noetherian methods and are valid for general algebraic spaces and algebraic stacks we obtain a slightly improved version of keel and moris theorem | [['in', 'this', 'paper', 'we', 'study', 'quotients', 'of', 'groupoids', 'and', 'coarse', 'moduli', 'spaces', 'of', 'stacks', 'in', 'a', 'general', 'setting', 'geometric', 'quotients', 'are', 'not', 'always', 'categorical', 'but', 'we', 'present', 'a', 'natural', 'topological', 'condition', 'under', 'which', 'a', 'geometric', 'quotient', 'is', 'categorical', 'we', 'also', 'show', 'the', 'existence', 'of', 'geometric', 'quotients', 'of', 'finite', 'flat', 'groupoids', 'and', 'give', 'explicit', 'local', 'descriptions', 'exploiting', 'similar', 'methods', 'we', 'give', 'an', 'easy', 'proof', 'of', 'the', 'existence', 'of', 'quotients', 'of', 'flat', 'groupoids', 'with', 'finite', 'stabilizers', 'as', 'the', 'proofs', 'do', 'not', 'use', 'noetherian', 'methods', 'and', 'are', 'valid', 'for', 'general', 'algebraic', 'spaces', 'and', 'algebraic', 'stacks', 'we', 'obtain', 'a', 'slightly', 'improved', 'version', 'of', 'keel', 'and', 'moris', 'theorem']] | [-0.15041857320776897, 0.04545912802464089, -0.17509889276246132, 0.16033953348699126, -0.1444815111536424, -0.13961272507688952, 0.014153108307051934, 0.36930028667438375, -0.32235623831019816, -0.19787436020018045, 0.1420421276435943, -0.17302556303233696, -0.1313403373927746, 0.21952817865841778, -0.25772712415861854, -0.034534030887795594, 0.04011178157265181, 0.021538363154796722, -0.1591837971462208, -0.31327963445010115, 0.40951173697390314, -0.03936301494577845, 0.2667388216438658, 0.07402459170400319, 0.13588558783013266, 0.025798366147373776, -0.051733323653201456, 0.05621045748296293, -0.21283870967991145, 0.14719505015832995, 0.32803934282686525, 0.026129135260702048, 0.19462322237114738, -0.4197154491597298, -0.1176941064774122, 0.17487707098909808, 0.12386736012452725, 0.09362156145179698, -0.02488213089109371, -0.29326243036724986, 0.11963187902713719, -0.15163030934709948, -0.12367025599136804, -0.17026555888101602, 0.010782654948749588, 0.022475976467548498, -0.20015875484740125, 0.0013487100557681823, 0.16626109908904554, 0.18299342743437558, -0.09515816752473344, -0.056968999972331874, -0.029870800465996404, 0.05564457528492056, -0.04726233367030554, -0.03562343704007855, 0.07228869865015511, -0.04031066310555828, -0.13312504810362474, 0.3620341803733874, -0.02989950608823774, -0.2582725511470502, 0.18173704713185146, -0.09717269148677588, -0.19745763369555613, 0.08039728244224074, 0.05854083139232351, 0.19833792248758877, -0.015322861921729393, 0.18351991845518623, -0.13626108215488855, 0.06901857761431088, 0.10097141832438777, 0.09004095586093631, 0.10671606744714171, 0.10240740398650319, 0.11473205814237517, 0.15183180921430728, 0.06672110613345088, -0.03137980394621461, -0.3975528154558348, -0.18336746109269778, -0.05701906295737378, 0.15300206309529157, -0.11477490902346564, -0.22813439750772657, 0.3646526632161395, 0.08595319442649924, 0.16450982996560995, 0.19282181600212725, 0.27633891900259894, 0.04331773620672994, 0.0047846516476745165, 0.04506646887426382, 0.11201128651143856, 0.23487455960254647, -0.0051439251610557145, -0.04410512494917923, -0.02338309039913335, 0.24067541530685843] |
708.3334 | Communication regimes in opinion dynamics: Changing the number of
communicating agents | This article contributes in four ways to the research on time-discrete
continuous opinion dynamics with compromising agents. First, communication
regimes are introduced as an elementary concept of opinion dynamic models.
Second, we develop a model that covers two major models of continuous opinion
dynamics, i.e. the basic model of Deffuant and Weisbuch as well as the model of
Krause and Hegselmann. To combine these models, which handle different numbers
of communicating agents, we convert the convergence parameter of Deffuant and
Weisbuch into a parameter called self-support. Third, we present simulation
results that shed light on how the number of communicating agents but also how
the self-support affect opinion dynamics. The fourth contribution is a
theoretically driven criterion when to stop a simulation and how to extrapolate
to infinite many steps.
| physics.soc-ph | this article contributes in four ways to the research on timediscrete continuous opinion dynamics with compromising agents first communication regimes are introduced as an elementary concept of opinion dynamic models second we develop a model that covers two major models of continuous opinion dynamics ie the basic model of deffuant and weisbuch as well as the model of krause and hegselmann to combine these models which handle different numbers of communicating agents we convert the convergence parameter of deffuant and weisbuch into a parameter called selfsupport third we present simulation results that shed light on how the number of communicating agents but also how the selfsupport affect opinion dynamics the fourth contribution is a theoretically driven criterion when to stop a simulation and how to extrapolate to infinite many steps | [['this', 'article', 'contributes', 'in', 'four', 'ways', 'to', 'the', 'research', 'on', 'timediscrete', 'continuous', 'opinion', 'dynamics', 'with', 'compromising', 'agents', 'first', 'communication', 'regimes', 'are', 'introduced', 'as', 'an', 'elementary', 'concept', 'of', 'opinion', 'dynamic', 'models', 'second', 'we', 'develop', 'a', 'model', 'that', 'covers', 'two', 'major', 'models', 'of', 'continuous', 'opinion', 'dynamics', 'ie', 'the', 'basic', 'model', 'of', 'deffuant', 'and', 'weisbuch', 'as', 'well', 'as', 'the', 'model', 'of', 'krause', 'and', 'hegselmann', 'to', 'combine', 'these', 'models', 'which', 'handle', 'different', 'numbers', 'of', 'communicating', 'agents', 'we', 'convert', 'the', 'convergence', 'parameter', 'of', 'deffuant', 'and', 'weisbuch', 'into', 'a', 'parameter', 'called', 'selfsupport', 'third', 'we', 'present', 'simulation', 'results', 'that', 'shed', 'light', 'on', 'how', 'the', 'number', 'of', 'communicating', 'agents', 'but', 'also', 'how', 'the', 'selfsupport', 'affect', 'opinion', 'dynamics', 'the', 'fourth', 'contribution', 'is', 'a', 'theoretically', 'driven', 'criterion', 'when', 'to', 'stop', 'a', 'simulation', 'and', 'how', 'to', 'extrapolate', 'to', 'infinite', 'many', 'steps']] | [-0.09082341374148829, 0.11734260226915537, -0.09905055115500895, 0.07126834323773017, -0.09496770651581196, -0.1618506767643759, 0.08942696863176444, 0.3578421463115284, -0.2885592751921369, -0.2975561521087702, 0.08140091935369688, -0.25440718932793693, -0.18064758305643827, 0.14661096659166595, -0.06471577050576273, 0.014030499992748866, 0.01710728907312911, 0.011297240982261987, 0.05899538676827573, -0.29795890785753726, 0.3137820335176702, 0.016514642701412622, 0.228677476505534, 0.028788886190607, 0.13184661215093982, 0.00879003489210915, -0.029742661849237406, 0.014951278269290925, -0.16046610264736674, 0.1066299916495784, 0.2323208653155094, 0.1397412471831418, 0.3398318048065098, -0.42871176935732364, -0.2043459446563457, 0.11126522716994469, 0.15433140710139504, 0.10052636466235317, -0.0001480859865506108, -0.27259224431159407, 0.04495134205342485, -0.22030178524123933, -0.11090825070412114, -0.08294974236946123, -0.01630385642011578, 0.07655208691094931, -0.238503179154717, 0.04072984069957434, 0.08970802437711077, 0.031054635131015227, -0.058521257733138134, -0.06982545537444261, -0.022679355602639797, 0.16570470127783035, 0.05225912591424556, -0.00836647478505396, 0.12230389480514882, -0.12995410075035088, -0.18063646635900324, 0.3895273501053452, -0.05079253829944019, -0.22399466255536446, 0.20530876430611197, -0.08219620396490566, -0.17320873626651098, 0.04519653118287142, 0.24147932362337507, 0.09608829972477487, -0.14363636199369256, 0.03384485660443226, -0.05026867330933993, 0.19113347846298265, 0.002750762763361518, -0.023088035136214994, 0.14869695170066105, 0.19988657288217487, 0.04616127292795751, 0.12352815901394934, -0.011637844163208054, -0.2178369980215883, -0.26609729615111766, -0.12849866264284804, -0.13946516161354688, 0.003288575469587858, -0.03941925586371396, -0.12869922613295226, 0.4285649553227883, 0.22903658258728682, 0.20315610420388672, 0.08684017213437563, 0.3056435151043563, 0.05331562965651616, -0.010757487449042785, 0.04473349513987509, 0.1940595573459107, 0.10824344981676684, 0.0981479048084181, -0.17817957093849635, 0.09677716520113441, 0.06698153973915257] |
708.3335 | On the interrelation between monopoles, vortices, topological charge and
chiral symmetry breaking: an analysis using overlap fermions for SU(2) | We study the properties of configurations from which P-vortices on one hand
or Abelian monopoles on the other hand have been removed. We find that the zero
modes and the band of non-zero modes close to zero disappear from the spectrum
of the overlap Dirac operator, confirming the absence of topological charge and
quark condensate. The different behavior of the modified ensembles under
smearing compared to the unmodified Monte Carlo ensemble corroborates these
findings. The gluonic topological susceptibility rapidly approaches zero in
accordance with Q_{index}=0. The remaining (ultraviolet) monopoles without
vortices and -- to a less extent -- the remaining vortices without monopoles
are unstable under smearing whereas smearing of the unmodified Monte Carlo
ensemble effects the monopoles and vortices only by smoothing, reducing the
density only slightly.
| hep-lat | we study the properties of configurations from which pvortices on one hand or abelian monopoles on the other hand have been removed we find that the zero modes and the band of nonzero modes close to zero disappear from the spectrum of the overlap dirac operator confirming the absence of topological charge and quark condensate the different behavior of the modified ensembles under smearing compared to the unmodified monte carlo ensemble corroborates these findings the gluonic topological susceptibility rapidly approaches zero in accordance with q_index0 the remaining ultraviolet monopoles without vortices and to a less extent the remaining vortices without monopoles are unstable under smearing whereas smearing of the unmodified monte carlo ensemble effects the monopoles and vortices only by smoothing reducing the density only slightly | [['we', 'study', 'the', 'properties', 'of', 'configurations', 'from', 'which', 'pvortices', 'on', 'one', 'hand', 'or', 'abelian', 'monopoles', 'on', 'the', 'other', 'hand', 'have', 'been', 'removed', 'we', 'find', 'that', 'the', 'zero', 'modes', 'and', 'the', 'band', 'of', 'nonzero', 'modes', 'close', 'to', 'zero', 'disappear', 'from', 'the', 'spectrum', 'of', 'the', 'overlap', 'dirac', 'operator', 'confirming', 'the', 'absence', 'of', 'topological', 'charge', 'and', 'quark', 'condensate', 'the', 'different', 'behavior', 'of', 'the', 'modified', 'ensembles', 'under', 'smearing', 'compared', 'to', 'the', 'unmodified', 'monte', 'carlo', 'ensemble', 'corroborates', 'these', 'findings', 'the', 'gluonic', 'topological', 'susceptibility', 'rapidly', 'approaches', 'zero', 'in', 'accordance', 'with', 'q_index0', 'the', 'remaining', 'ultraviolet', 'monopoles', 'without', 'vortices', 'and', 'to', 'a', 'less', 'extent', 'the', 'remaining', 'vortices', 'without', 'monopoles', 'are', 'unstable', 'under', 'smearing', 'whereas', 'smearing', 'of', 'the', 'unmodified', 'monte', 'carlo', 'ensemble', 'effects', 'the', 'monopoles', 'and', 'vortices', 'only', 'by', 'smoothing', 'reducing', 'the', 'density', 'only', 'slightly']] | [-0.12737483309209346, 0.2500485493391752, -0.0979542289543897, 0.10879291293770074, -0.027813388593494894, -0.11540399309061468, 0.08328123253583908, 0.36149426563084125, -0.18139079865068197, -0.28072110008448364, 0.08326607374753803, -0.33613289131224156, -0.06150068815052509, 0.1225153427850455, 0.013234052456915378, 0.044537307374179366, 0.04742246501147747, 0.027819406483322383, -0.12383816871419549, -0.23763892924413085, 0.36058865321427586, 0.06838618779182434, 0.30558598300814627, 0.04199765670951456, 0.025511127972975372, -0.0002823892831802368, -0.005724314261227846, 0.030740915210917593, -0.09973384284443455, 0.01905097511061467, 0.1315541429943405, -0.052024120235815645, 0.18718610345199704, -0.43816656300425527, -0.23744451843202113, 0.12265637351199984, 0.1793434619680047, 0.14114141209702938, -0.019660298242466526, -0.30573764944821596, 0.10598513169586658, -0.13698586723580958, -0.17386687577143312, -0.0907564040273428, -0.06593645249679685, 0.00017723797308281063, -0.19653039770573377, 0.08704953777045012, 0.040233397159725424, 0.05264802055060863, -0.04570262686908245, -0.1665935575067997, -0.10807015412300826, 0.09426918190531433, 0.12558553426526486, 0.028716993445530532, 0.15337095312401652, -0.18632644630223513, -0.10865182834491134, 0.3385607652515173, -0.0615756606310606, -0.18127476526051758, 0.19365180598199366, -0.15864908093586563, -0.07930976653471589, 0.18241499733552335, 0.07835512253642082, 0.13234300843253732, -0.07008765464648604, 0.07661465342529118, -0.014161768046207727, 0.1595415136963129, 0.07987599210068584, 0.051520322909578684, 0.2684376960047521, 0.07708362976647913, 0.0596730354335159, 0.14028993492620065, -0.10998260659351945, -0.1500367034357041, -0.28541908339224753, -0.10361348933167755, -0.20511845654994249, 0.03560466204583645, -0.07529625081224367, -0.20377289404720067, 0.378405079677701, 0.2031862541232258, 0.18925042704492806, 0.0006184011837467551, 0.27714801715314386, 0.10574079455249011, 0.12421870294585824, 0.08434748735278845, 0.23591231793351472, 0.14450004433840513, 0.09458777606487274, -0.30972804442420604, -0.04531303443945944, 0.06761843576841056] |
708.3336 | Far-field fluorescence microscopy beyond the diffraction limit:
Fluorescence imaging with ultrahigh resolution | Fluorescence microscopy is an important and extensively utilised tool for
imaging biological systems. However, the image resolution that can be obtained
has a limit as defined through the laws of diffraction. Demand for improved
resolution has stimulated research into developing methods to image beyond the
diffraction limit based on far-field fluorescence microscopy techniques. Rapid
progress is being made in this area of science with methods emerging that
enable fluorescence imaging in the far-field to possess a resolution well
beyond the diffraction limit. This review outlines developments in far-field
fluorescence methods which enable ultrahigh resolution imaging and application
of these techniques to biology. Future possible trends and directions in
far-field fluorescence imaging with ultrahigh resolution are also outlined.
| physics.bio-ph | fluorescence microscopy is an important and extensively utilised tool for imaging biological systems however the image resolution that can be obtained has a limit as defined through the laws of diffraction demand for improved resolution has stimulated research into developing methods to image beyond the diffraction limit based on farfield fluorescence microscopy techniques rapid progress is being made in this area of science with methods emerging that enable fluorescence imaging in the farfield to possess a resolution well beyond the diffraction limit this review outlines developments in farfield fluorescence methods which enable ultrahigh resolution imaging and application of these techniques to biology future possible trends and directions in farfield fluorescence imaging with ultrahigh resolution are also outlined | [['fluorescence', 'microscopy', 'is', 'an', 'important', 'and', 'extensively', 'utilised', 'tool', 'for', 'imaging', 'biological', 'systems', 'however', 'the', 'image', 'resolution', 'that', 'can', 'be', 'obtained', 'has', 'a', 'limit', 'as', 'defined', 'through', 'the', 'laws', 'of', 'diffraction', 'demand', 'for', 'improved', 'resolution', 'has', 'stimulated', 'research', 'into', 'developing', 'methods', 'to', 'image', 'beyond', 'the', 'diffraction', 'limit', 'based', 'on', 'farfield', 'fluorescence', 'microscopy', 'techniques', 'rapid', 'progress', 'is', 'being', 'made', 'in', 'this', 'area', 'of', 'science', 'with', 'methods', 'emerging', 'that', 'enable', 'fluorescence', 'imaging', 'in', 'the', 'farfield', 'to', 'possess', 'a', 'resolution', 'well', 'beyond', 'the', 'diffraction', 'limit', 'this', 'review', 'outlines', 'developments', 'in', 'farfield', 'fluorescence', 'methods', 'which', 'enable', 'ultrahigh', 'resolution', 'imaging', 'and', 'application', 'of', 'these', 'techniques', 'to', 'biology', 'future', 'possible', 'trends', 'and', 'directions', 'in', 'farfield', 'fluorescence', 'imaging', 'with', 'ultrahigh', 'resolution', 'are', 'also', 'outlined']] | [0.0026548676527081393, 0.07545505741993702, -0.09334295630677898, 0.031081438820777286, -0.04170283322962813, -0.10175456358199446, -0.02182307267963536, 0.47486411856535155, -0.27736793930491066, -0.304859299885316, 0.14448922160519367, -0.29199041339815557, -0.15951395996360698, 0.2988225052722244, -0.07296041377350433, 0.1339617730794936, 0.08148054486144589, -0.06405928774744782, -0.00738361280095071, -0.15525540815363836, 0.20345245535748127, 0.13420397908482543, 0.3728717808953972, 0.11662855384966885, 0.11728867199311717, 0.06616450519436318, -0.044698220220470056, 0.032244278031449095, -0.1418078773077647, 0.2041305039778479, 0.3617193347050084, 0.1640114251834651, 0.23393077655639657, -0.4805977951066616, -0.29470927303489775, 0.03613695125374147, 0.24152921407750177, 0.09560296611171852, -0.10743165529297236, -0.2726093146544045, 0.02812314357630447, -0.05389042930980014, -0.14577587307072604, -0.12893288257794502, -0.046433657789841674, 0.025318392316619746, -0.21739089966385475, 0.0356994061907415, -0.00025171253125732526, 0.15594200095814517, -0.03697639750316739, -0.061238823076471306, 0.08331575191532, 0.14102843588090733, 0.025831966513656397, 0.02848691063033592, 0.15424346395680666, -0.19591579830640146, -0.1622340686651122, 0.3608785862278225, -0.036859105452576764, -0.10958684025069651, 0.21247031571817163, -0.20592718787937084, -0.13087692942358872, 0.20811978817527366, 0.12364326368890002, 0.11552652296347496, -0.16119330526831058, 0.07868671344650878, 0.033079319096242, 0.20602681195566383, 0.13824542943173304, 0.1039703590158596, 0.2200674745393519, 0.26640601199852604, 0.0634411434826051, 0.08105060157990959, -0.20421191997245017, 0.009412701464055154, -0.17744269342217436, -0.15251040984836653, -0.18049473151898918, 0.06809742520682704, -0.010864903270411225, -0.12071227279101682, 0.304947400943209, 0.20647204281666723, 0.12215687675226448, -0.061374865170830906, 0.40084450166576946, 0.08586167258660221, 0.11088435397220728, -0.08458166358530776, 0.2732362304475859, 0.16133806800358316, 0.20233012635547382, -0.1862773574813086, -0.013828147318150498, 0.004281928921993981] |
708.3337 | Sterile neutrino signals from supernovae | We investigate the effects of a mixing of active and sterile neutrinos on the
ratios of supernova electron neutrino flux ($F_e$) and antineutrino flux
($F_{\bar e}$) to the total flux of the other neutrino and antineutrino
flavours ($F_a$). We assume that the heaviest (in the normal hierarchy)
Standard Model neutrino $\nu_3$ mixes with a sterile neutrino resulting in a
pair of mass eigenstates with a small mass gap. Using the density matrix
formalism we solve numerically the the evolution of neutrino states in the
envelope of a supernova and determine the flux ratios $F_e/F_a$ and
$F_{\bar{e}}/F_a$ as a function of the active-sterile mixing angle and for the
experimentally allowed range of the standard active-active mixing angle
$\theta_{13}$.
| hep-ph | we investigate the effects of a mixing of active and sterile neutrinos on the ratios of supernova electron neutrino flux f_e and antineutrino flux f_bar e to the total flux of the other neutrino and antineutrino flavours f_a we assume that the heaviest in the normal hierarchy standard model neutrino nu_3 mixes with a sterile neutrino resulting in a pair of mass eigenstates with a small mass gap using the density matrix formalism we solve numerically the the evolution of neutrino states in the envelope of a supernova and determine the flux ratios f_ef_a and f_baref_a as a function of the activesterile mixing angle and for the experimentally allowed range of the standard activeactive mixing angle theta_13 | [['we', 'investigate', 'the', 'effects', 'of', 'a', 'mixing', 'of', 'active', 'and', 'sterile', 'neutrinos', 'on', 'the', 'ratios', 'of', 'supernova', 'electron', 'neutrino', 'flux', 'f_e', 'and', 'antineutrino', 'flux', 'f_bar', 'e', 'to', 'the', 'total', 'flux', 'of', 'the', 'other', 'neutrino', 'and', 'antineutrino', 'flavours', 'f_a', 'we', 'assume', 'that', 'the', 'heaviest', 'in', 'the', 'normal', 'hierarchy', 'standard', 'model', 'neutrino', 'nu_3', 'mixes', 'with', 'a', 'sterile', 'neutrino', 'resulting', 'in', 'a', 'pair', 'of', 'mass', 'eigenstates', 'with', 'a', 'small', 'mass', 'gap', 'using', 'the', 'density', 'matrix', 'formalism', 'we', 'solve', 'numerically', 'the', 'the', 'evolution', 'of', 'neutrino', 'states', 'in', 'the', 'envelope', 'of', 'a', 'supernova', 'and', 'determine', 'the', 'flux', 'ratios', 'f_ef_a', 'and', 'f_baref_a', 'as', 'a', 'function', 'of', 'the', 'activesterile', 'mixing', 'angle', 'and', 'for', 'the', 'experimentally', 'allowed', 'range', 'of', 'the', 'standard', 'activeactive', 'mixing', 'angle', 'theta_13']] | [-0.10335991274889396, 0.31047872696173096, 0.028920151325671568, 0.18093216227286535, 0.0019326062123898578, -0.08639783162785614, 0.11463454651200901, 0.3214857297423093, -0.20859433672512356, -0.32288077078435734, 0.0045838470621358445, -0.2878090031849949, -0.0044601413704778835, 0.1611709699338383, 0.07723664984349972, 0.03625312575503536, 0.08104334473407462, -0.0261493945899217, -0.15443091452243213, -0.15723358952318844, 0.325365016107326, 0.07431169840628686, 0.195165620436487, 0.07275571465168311, 0.12658729123599502, -0.08204852379048648, -0.054070743861729685, -0.10313245398194894, -0.10224499279543323, 0.018745833893974675, 0.1161686075135114, 0.1232989871808019, 0.0837339535355568, -0.3800613267428201, -0.173660654882374, 0.1986851436531414, 0.14812064095724212, 0.030614147772607597, -0.046003053352520196, -0.26497026557183784, -0.0071514836148075436, -0.24524803693284808, -0.15456837828918968, 0.03876192609820029, -0.031535821910137714, -0.03144448242838616, -0.33947055988094726, 0.10278036531222903, -0.07379794117144269, -0.04668794054052104, -0.014298323962999427, -0.19488002427894136, -0.03932928054229073, 0.051437759585678575, 0.17413824488024188, -0.05045431590355609, 0.1119018952835493, -0.1509114986123598, -0.032556545734405515, 0.40864784890866795, -0.1166274362952327, -0.14998483113671207, 0.08728898588729941, -0.19669249163049718, -0.09124586439650992, 0.14002283568413038, 0.15878331954388514, 0.07728678548465605, -0.14712316442038054, 0.09790816277609733, -0.14330596687226638, 0.18995860399597364, 0.04312857550609371, -0.009133817674971753, 0.2883261450930782, 0.21297111329217644, 0.12569161045324542, -0.047719611085283206, -0.2070729878457749, -0.013802811122782851, -0.3391478839127914, -0.12750943908243284, -0.09777431588862902, 0.11318213494251604, -0.07621520184633403, -0.15637572466031366, 0.47056949025262956, 0.08653769118751845, 0.21792134334859642, 0.01800893793368469, 0.2665628360827332, 0.10092648466866787, 0.040349367615746576, 0.03649766959816865, 0.33857275943231324, 0.21551987920158908, 0.12348787152491834, -0.3495339572753595, 0.006186343312425458, 0.0851568696230812] |
708.3338 | Ergodic properties of a class of non-Markovian processes | We study a fairly general class of time-homogeneous stochastic evolutions
driven by noises that are not white in time. As a consequence, the resulting
processes do not have the Markov property. In this setting, we obtain
constructive criteria for the uniqueness of stationary solutions that are very
close in spirit to the existing criteria for Markov processes.
In the case of discrete time, where the driving noise consists of a
stationary sequence of Gaussian random variables, we give optimal conditions on
the spectral measure for our criteria to be applicable. In particular, we show
that under a certain assumption on the spectral density, our assumptions can be
checked in virtually the same way as one would check that the Markov process
obtained by replacing the driving sequence by a sequence of independent
identically distributed Gaussian random variables is strong Feller and
topologically irreducible. The results of the present article are based on
those obtained previously in the continuous time context of diffusions driven
by fractional Brownian motion.
| math.PR math.DS | we study a fairly general class of timehomogeneous stochastic evolutions driven by noises that are not white in time as a consequence the resulting processes do not have the markov property in this setting we obtain constructive criteria for the uniqueness of stationary solutions that are very close in spirit to the existing criteria for markov processes in the case of discrete time where the driving noise consists of a stationary sequence of gaussian random variables we give optimal conditions on the spectral measure for our criteria to be applicable in particular we show that under a certain assumption on the spectral density our assumptions can be checked in virtually the same way as one would check that the markov process obtained by replacing the driving sequence by a sequence of independent identically distributed gaussian random variables is strong feller and topologically irreducible the results of the present article are based on those obtained previously in the continuous time context of diffusions driven by fractional brownian motion | [['we', 'study', 'a', 'fairly', 'general', 'class', 'of', 'timehomogeneous', 'stochastic', 'evolutions', 'driven', 'by', 'noises', 'that', 'are', 'not', 'white', 'in', 'time', 'as', 'a', 'consequence', 'the', 'resulting', 'processes', 'do', 'not', 'have', 'the', 'markov', 'property', 'in', 'this', 'setting', 'we', 'obtain', 'constructive', 'criteria', 'for', 'the', 'uniqueness', 'of', 'stationary', 'solutions', 'that', 'are', 'very', 'close', 'in', 'spirit', 'to', 'the', 'existing', 'criteria', 'for', 'markov', 'processes', 'in', 'the', 'case', 'of', 'discrete', 'time', 'where', 'the', 'driving', 'noise', 'consists', 'of', 'a', 'stationary', 'sequence', 'of', 'gaussian', 'random', 'variables', 'we', 'give', 'optimal', 'conditions', 'on', 'the', 'spectral', 'measure', 'for', 'our', 'criteria', 'to', 'be', 'applicable', 'in', 'particular', 'we', 'show', 'that', 'under', 'a', 'certain', 'assumption', 'on', 'the', 'spectral', 'density', 'our', 'assumptions', 'can', 'be', 'checked', 'in', 'virtually', 'the', 'same', 'way', 'as', 'one', 'would', 'check', 'that', 'the', 'markov', 'process', 'obtained', 'by', 'replacing', 'the', 'driving', 'sequence', 'by', 'a', 'sequence', 'of', 'independent', 'identically', 'distributed', 'gaussian', 'random', 'variables', 'is', 'strong', 'feller', 'and', 'topologically', 'irreducible', 'the', 'results', 'of', 'the', 'present', 'article', 'are', 'based', 'on', 'those', 'obtained', 'previously', 'in', 'the', 'continuous', 'time', 'context', 'of', 'diffusions', 'driven', 'by', 'fractional', 'brownian', 'motion']] | [-0.10204620127326357, 0.13168072919389176, -0.1038836589470662, 0.07055366806821031, -0.0351731118754467, -0.1117015505728206, 0.05410533771406815, 0.4058824646214168, -0.27665681508509166, -0.22595159823219932, 0.14924234571981015, -0.19053303542920572, -0.13209356016390203, 0.22202194966780145, -0.09659586775445653, 0.06414610120637934, 0.05644346223753727, 0.028156459913937608, -0.0226740104433506, -0.24334677869194707, 0.3562735384225589, -0.0002950203331733892, 0.2543710526023172, -0.05083853899937647, 0.09963788339745498, 0.011547876600019946, -0.05997105904375231, 0.01080783951782181, -0.11465225208213993, 0.04127645513884902, 0.22773025929927826, 0.08947546971841781, 0.2918290127581822, -0.4071821575415527, -0.23016483558425163, 0.1559343231328858, 0.11756039222874567, 0.09225796324529958, -0.050730331342884835, -0.30499629401546086, 0.10514065226774194, -0.1074281959204717, -0.1276034989176753, -0.07096914484160032, -0.004042514314049643, 0.10407232293373944, -0.31497819736477234, 0.08306691186602957, 0.15390832503019514, 0.010922115084207701, -0.06330619442059163, -0.08029648178315604, 0.007972232183207294, 0.10954760022818329, 0.041840322208165574, -0.014613718225224736, 0.10675958113767162, -0.08035228587129338, -0.15089591704085917, 0.3380825080923474, -0.13016548347073847, -0.2616034814799316, 0.21213944601647913, -0.14732646729105603, -0.19760072853382743, 0.1238624970637775, 0.14282979100418394, 0.1437934847379732, -0.21731865810910742, 0.10556882755059895, -0.056207681948201964, 0.12420301337400172, 0.04344926068760053, 0.04787449114767745, 0.15407957361654162, 0.11691351530203473, 0.1054242657118304, 0.16002905035313375, -0.02586719969463183, -0.14705567537321748, -0.3449775414809049, -0.13004578139582748, -0.20962112483953288, 0.08786897819846852, -0.10593237902076488, -0.1854666993928192, 0.3563177920459675, 0.1653705537110054, 0.19277039253080408, 0.11045234001236047, 0.22150826137401386, 0.18049902418728717, -0.032445165277684415, 0.06804941316598101, 0.1823522530044401, 0.14021172410736005, 0.08395927251612176, -0.14941628456665035, 0.11992231550665494, 0.06896991103268535] |
708.3339 | Crowd turbulence: the physics of crowd disasters | The panic stampede is a serious concern during mass events like soccer
championship games. Despite huge numbers of security forces and crowd control
measures, hundreds of lives are lost in crowd disasters each year. An analysis
of video recordings of the annual pilgrimage in Makkah reveals how high-density
crowds develop to turbulent dynamics and earthquake-like eruptions, which is
impossible to control.
| physics.soc-ph physics.flu-dyn | the panic stampede is a serious concern during mass events like soccer championship games despite huge numbers of security forces and crowd control measures hundreds of lives are lost in crowd disasters each year an analysis of video recordings of the annual pilgrimage in makkah reveals how highdensity crowds develop to turbulent dynamics and earthquakelike eruptions which is impossible to control | [['the', 'panic', 'stampede', 'is', 'a', 'serious', 'concern', 'during', 'mass', 'events', 'like', 'soccer', 'championship', 'games', 'despite', 'huge', 'numbers', 'of', 'security', 'forces', 'and', 'crowd', 'control', 'measures', 'hundreds', 'of', 'lives', 'are', 'lost', 'in', 'crowd', 'disasters', 'each', 'year', 'an', 'analysis', 'of', 'video', 'recordings', 'of', 'the', 'annual', 'pilgrimage', 'in', 'makkah', 'reveals', 'how', 'highdensity', 'crowds', 'develop', 'to', 'turbulent', 'dynamics', 'and', 'earthquakelike', 'eruptions', 'which', 'is', 'impossible', 'to', 'control']] | [-0.16400767798672933, 0.1552206115498013, -0.11568540722498151, 0.11828825552947819, -0.07038302385232977, -0.0826237322228243, 0.040022410398929335, 0.3278974997582006, -0.18176081324698495, -0.3711197763742482, 0.13819887050519103, -0.35425936963531324, -0.17050031067223334, 0.17965936352361422, -0.2503904304390804, 0.04397076203442011, 0.1306469393359711, 0.05747907289654994, 0.10839316076370048, -0.26458815269966107, 0.2191932353107106, 0.04155274753871023, 0.30038633181515045, 0.04386469987450076, 0.12363481234575881, -0.05795137644516396, -0.048561361618340015, -0.0639074843560086, -0.06508766223874982, 0.06902207058594852, 0.31485640561421874, 0.19444057113323054, 0.4445057475298155, -0.4786686331155847, -0.19871295774956693, 0.11980471282159208, 0.1261931505038968, 0.03377132419092184, -0.0458989695600066, -0.3455858978702397, 0.06022855791751845, -0.22141123514194958, -0.08979642107227787, -0.052372572363400066, 0.04740731362024414, 0.027318553205152026, -0.21180947823831658, 0.10439741919885893, -0.044050126504458366, 0.12586898071172295, -0.059493161776087815, 0.0003335715622686949, -0.024054621208886632, 0.21948949751428892, 0.13678787760894562, -0.040127926307623504, 0.25084851792494417, -0.20936190360034893, -0.16017408533113414, 0.443783631823102, 0.0041197887430975185, -0.06460951651889281, 0.17083143371111545, -0.13628200684353464, -0.15001689173189586, 0.1686257497773918, 0.24372704162216577, 0.05357271482877922, -0.16192223696557226, -0.09786655529608308, -0.045220507041658045, 0.1895600951230917, 0.07317761557756877, -0.021942253453565427, 0.22016114008719803, 0.22244656113449668, 0.07530826692408348, 0.05223199683928587, -0.09278634918059726, -0.16305235458812753, -0.18308098082903956, -0.07730021364662461, -0.1257082377779908, 0.049127610774374886, -0.06449471232357251, -0.14621836209639175, 0.33258697726252323, 0.20531644324054482, 0.10307931480165876, 0.005262296625840493, 0.31590748272958347, -0.020604145194052674, 0.05532631374223799, 0.06620024265645102, 0.16350290425060715, 0.034829708549087166, 0.24240260713229903, -0.1507685658384542, 0.09811590816520277, -0.0032046165805859643] |
708.334 | Stability of Metastable Vacua in Gauge Mediated SUSY Breaking Models
with Ultra Light Gravitino | Recently Murayama and Nomura proposed a simple scheme to construct the gauge
mediation models, using metastable supersymmetry breaking vacua. It has a
possibility to predict the ultra light gravitino mass m_{3/2} \lesssim 16 eV,
while such a light gravitino may destabilize the metastable vacua. We
investigate stability of the metastable vacuum of their model. The transition
rate from the false vacuum to true ones is evaluated by numerical calculation,
including the Coleman-Weinberg potential destabilizing the metastable vacuum.
It is found that when the messenger sector is minimal, stability of the
metastable vacuum imposes an upperbound on squark mass M_{\tilde q} for the
ultra light gravitino as M_{\tilde q} \lesssim 1800 GeV at most. Squarks with
this mass may be found in the LHC experiments.
| hep-ph | recently murayama and nomura proposed a simple scheme to construct the gauge mediation models using metastable supersymmetry breaking vacua it has a possibility to predict the ultra light gravitino mass m_32 lesssim 16 ev while such a light gravitino may destabilize the metastable vacua we investigate stability of the metastable vacuum of their model the transition rate from the false vacuum to true ones is evaluated by numerical calculation including the colemanweinberg potential destabilizing the metastable vacuum it is found that when the messenger sector is minimal stability of the metastable vacuum imposes an upperbound on squark mass m_tilde q for the ultra light gravitino as m_tilde q lesssim 1800 gev at most squarks with this mass may be found in the lhc experiments | [['recently', 'murayama', 'and', 'nomura', 'proposed', 'a', 'simple', 'scheme', 'to', 'construct', 'the', 'gauge', 'mediation', 'models', 'using', 'metastable', 'supersymmetry', 'breaking', 'vacua', 'it', 'has', 'a', 'possibility', 'to', 'predict', 'the', 'ultra', 'light', 'gravitino', 'mass', 'm_32', 'lesssim', '16', 'ev', 'while', 'such', 'a', 'light', 'gravitino', 'may', 'destabilize', 'the', 'metastable', 'vacua', 'we', 'investigate', 'stability', 'of', 'the', 'metastable', 'vacuum', 'of', 'their', 'model', 'the', 'transition', 'rate', 'from', 'the', 'false', 'vacuum', 'to', 'true', 'ones', 'is', 'evaluated', 'by', 'numerical', 'calculation', 'including', 'the', 'colemanweinberg', 'potential', 'destabilizing', 'the', 'metastable', 'vacuum', 'it', 'is', 'found', 'that', 'when', 'the', 'messenger', 'sector', 'is', 'minimal', 'stability', 'of', 'the', 'metastable', 'vacuum', 'imposes', 'an', 'upperbound', 'on', 'squark', 'mass', 'm_tilde', 'q', 'for', 'the', 'ultra', 'light', 'gravitino', 'as', 'm_tilde', 'q', 'lesssim', '1800', 'gev', 'at', 'most', 'squarks', 'with', 'this', 'mass', 'may', 'be', 'found', 'in', 'the', 'lhc', 'experiments']] | [-0.12655311378635345, 0.3097460430178598, -0.03905370721082774, 0.17298744673532765, -0.05045265359841587, -0.1787902275062797, 0.07263541971934179, 0.31877965675742037, -0.18427344371523377, -0.3377396373919422, 0.08456798916919187, -0.24155869648881978, -0.0028969452926708807, 0.13252192362579668, -0.00791620449989193, 0.049756601645288265, 0.03600274158581611, -0.0012009820089705528, -0.026510851275581386, -0.263869288100508, 0.27445702929981053, 0.04990009112553971, 0.23219985579470953, 0.11654194831217249, 0.08596735506979448, -0.101272530737333, 0.09709783154915297, -0.1515436409747288, -0.15237465738761286, 0.03684178180429303, 0.17017897050171146, 0.07126177501143707, 0.1678355081990782, -0.3287862950725661, -0.19192063183506816, 0.20206206190707762, 0.15647817693365318, 0.12741983405336918, -0.10642717626685608, -0.32554425159469247, 0.13138166576578852, -0.17580803205829956, -0.13110004454914992, -0.06929740468190322, -0.027323593622103574, -0.1568735866706946, -0.318833454774933, 0.1007706586312833, -0.11070571220179479, -0.03688169706372484, -0.06407548333030014, -0.1293287064040816, -0.13134948638523178, -0.054676902834128877, 0.20063114114530053, 0.023352648015134037, 0.17746336347303324, -0.17789674979717202, -0.09307444162832032, 0.41877316749624666, -0.11111399889998738, -0.09511708468949844, 0.1460644802296414, -0.10710562653689375, -0.1182718533851702, 0.18578919541511324, 0.1300309180458557, 0.15415943434627186, -0.10703769494883149, 0.2021382073867097, -0.0013344562837793942, 0.20998592958259846, 0.13454997629554372, 0.040918763565470376, 0.28695284280805816, 0.19966726279779967, 0.059301933836973, 0.06575128950475294, -0.06537089490091368, -0.08312436670155054, -0.37090745255456214, -0.10335258332516757, -0.10864846923598839, 0.07589977013225097, -0.10114687246131061, -0.08983884009649046, 0.3604526299028411, 0.1266178198237603, 0.21515285697927128, 0.04246176856630031, 0.26249264633553404, 0.07280397651653227, 0.08771765527818652, 0.0217326816411749, 0.35532645937881524, 0.09718758449514187, 0.11234734454304882, -0.25053520977774996, -0.06676368308328692, 0.06360449116478013] |
708.3341 | Browsing through 3D representations of unstructured picture collections:
an empirical study | The paper presents a 3D interactive representation of fairly large picture
collections which facilitates browsing through unstructured sets of icons or
pictures. Implementation of this representation implies choosing between two
visualization strategies: users may either manipulate the view (OV) or be
immersed in it (IV). The paper first presents this representation, then
describes an empirical study (17 participants) aimed at assessing the utility
and usability of each view. Subjective judgements in questionnaires and
debriefings were varied: 7 participants preferred the IV view, 4 the OV one,
and 6 could not choose between the two. Visual acuity and visual exploration
strategies seem to have exerted a greater influence on participants'
preferences than task performance or feeling of immersion.
| cs.HC | the paper presents a 3d interactive representation of fairly large picture collections which facilitates browsing through unstructured sets of icons or pictures implementation of this representation implies choosing between two visualization strategies users may either manipulate the view ov or be immersed in it iv the paper first presents this representation then describes an empirical study 17 participants aimed at assessing the utility and usability of each view subjective judgements in questionnaires and debriefings were varied 7 participants preferred the iv view 4 the ov one and 6 could not choose between the two visual acuity and visual exploration strategies seem to have exerted a greater influence on participants preferences than task performance or feeling of immersion | [['the', 'paper', 'presents', 'a', '3d', 'interactive', 'representation', 'of', 'fairly', 'large', 'picture', 'collections', 'which', 'facilitates', 'browsing', 'through', 'unstructured', 'sets', 'of', 'icons', 'or', 'pictures', 'implementation', 'of', 'this', 'representation', 'implies', 'choosing', 'between', 'two', 'visualization', 'strategies', 'users', 'may', 'either', 'manipulate', 'the', 'view', 'ov', 'or', 'be', 'immersed', 'in', 'it', 'iv', 'the', 'paper', 'first', 'presents', 'this', 'representation', 'then', 'describes', 'an', 'empirical', 'study', '17', 'participants', 'aimed', 'at', 'assessing', 'the', 'utility', 'and', 'usability', 'of', 'each', 'view', 'subjective', 'judgements', 'in', 'questionnaires', 'and', 'debriefings', 'were', 'varied', '7', 'participants', 'preferred', 'the', 'iv', 'view', '4', 'the', 'ov', 'one', 'and', '6', 'could', 'not', 'choose', 'between', 'the', 'two', 'visual', 'acuity', 'and', 'visual', 'exploration', 'strategies', 'seem', 'to', 'have', 'exerted', 'a', 'greater', 'influence', 'on', 'participants', 'preferences', 'than', 'task', 'performance', 'or', 'feeling', 'of', 'immersion']] | [-0.09104072688757603, 0.04391069685880211, -0.10024246441377006, 0.04984134728498436, -0.1386566685576891, -0.18465209677654865, 0.08381321194284627, 0.4323126556480239, -0.210395465805677, -0.396720691363263, 0.04534570945643595, -0.3092635227688428, -0.13814553201543808, 0.14435278124513168, -0.13553850913163404, -0.04504964936219541, 0.06413084262849539, 0.0323109757717185, -0.041276298242556894, -0.27456612279237214, 0.2978885314860863, 0.019015484666130667, 0.30730609734972203, 0.0363397940718328, 0.06886214845018976, 0.05370602982343528, -0.10095419628311808, 0.03025873216142043, -0.0810695608499749, 0.16437461036899736, 0.3058412630785385, 0.21492127519791368, 0.35475135286105797, -0.39091993303134526, -0.11791207238413084, 0.07493117012902452, 0.1635902812865017, 0.05894300139986846, -0.04390756539791694, -0.3254291817288974, 0.05815967528053142, -0.1540567781053612, -0.07698168107388734, -0.07184751506027734, 0.009712089551612735, -0.021737326783577687, -0.2600490141334815, -0.012478962460340097, 0.029175041442142863, 0.1905835596844554, -0.05399523148562053, -0.09592627391122796, 0.01898616774746313, 0.19768428648139574, 0.025059087964674008, 0.015026453519159735, 0.17090200397169925, -0.16899735503830016, -0.12802573544242227, 0.4149748579566849, 0.03040576123385108, -0.21234487345369918, 0.23449006127514715, -0.08882329198692379, -0.09397707071460398, 0.10309626883626434, 0.20273919161690143, 0.08347234085547449, -0.16083187867630402, -0.029176777030004125, -0.024245640568049818, 0.2171874616218827, 0.09909926714367587, -0.011929775813016397, 0.23733054545250368, 0.20143267509110016, 0.003582069142480734, 0.0876069313290545, -0.027141436763862468, -0.05504014514033394, -0.2566022497324819, -0.16501447447607742, -0.11814884122477137, 0.028093442706323975, -0.10693416075634465, -0.10948453085689709, 0.3735805551505423, 0.18125279437337102, 0.16362945530724166, 0.047548230646121924, 0.3013857198830951, 0.0001662418643687049, 0.01645269391030587, 0.062279577848224514, 0.1603047761680751, -0.022045668525669467, 0.15441990869344566, -0.14006116323911683, 0.12404813309770142, 0.03198250536134482] |
708.3342 | NMSSM neutralino dark matter | We study the viability of the lightest neutralino as a dark matter candidate
in the Next-to-Minimal Supersymmetric Standard Model. Taking into account
accelerator constraints as well as bounds on low-energy observables, and
imposing consistency with present bounds on the neutralino relic density, we
address the prospects for the direct detection of neutralino dark matter. We
find regions of the allowed parameter space where the neutralino detection
cross section is within the reach of dark matter detectors, essentially owing
to the presence of very light singlet-like Higgses, and to either singlino
dominated or very light neutralinos.
| hep-ph | we study the viability of the lightest neutralino as a dark matter candidate in the nexttominimal supersymmetric standard model taking into account accelerator constraints as well as bounds on lowenergy observables and imposing consistency with present bounds on the neutralino relic density we address the prospects for the direct detection of neutralino dark matter we find regions of the allowed parameter space where the neutralino detection cross section is within the reach of dark matter detectors essentially owing to the presence of very light singletlike higgses and to either singlino dominated or very light neutralinos | [['we', 'study', 'the', 'viability', 'of', 'the', 'lightest', 'neutralino', 'as', 'a', 'dark', 'matter', 'candidate', 'in', 'the', 'nexttominimal', 'supersymmetric', 'standard', 'model', 'taking', 'into', 'account', 'accelerator', 'constraints', 'as', 'well', 'as', 'bounds', 'on', 'lowenergy', 'observables', 'and', 'imposing', 'consistency', 'with', 'present', 'bounds', 'on', 'the', 'neutralino', 'relic', 'density', 'we', 'address', 'the', 'prospects', 'for', 'the', 'direct', 'detection', 'of', 'neutralino', 'dark', 'matter', 'we', 'find', 'regions', 'of', 'the', 'allowed', 'parameter', 'space', 'where', 'the', 'neutralino', 'detection', 'cross', 'section', 'is', 'within', 'the', 'reach', 'of', 'dark', 'matter', 'detectors', 'essentially', 'owing', 'to', 'the', 'presence', 'of', 'very', 'light', 'singletlike', 'higgses', 'and', 'to', 'either', 'singlino', 'dominated', 'or', 'very', 'light', 'neutralinos']] | [-0.08820485186419989, 0.22040025149717143, -0.065125996781219, 0.1737931861774996, -0.09813806418035376, -0.15755583129725173, 0.05323988695040737, 0.28651396174621035, -0.19328956847128115, -0.3916146645812612, 0.04634882092206298, -0.26865586611981457, 0.06396785924750331, 0.14770101326468743, 0.052537711952371814, 0.06713464899282706, 0.05768626204838878, 0.006952696822975811, -0.043437565456291564, -0.24669103598908373, 0.2764726272441055, 0.05678040223000081, 0.1541288251596454, 0.12696071823470687, 0.039196009649650046, 0.011183441097014829, -0.045508858174281686, -0.11211057966605661, -0.1530734408401737, 0.05753018111235609, 0.19629750631161427, 0.11786576657506981, 0.0925717941019684, -0.409065755716476, -0.19395638819979993, 0.27221497711480447, 0.1842217207200041, 0.03468552306294441, -0.10528980168808055, -0.39390497504684485, 0.04741346960103041, -0.2307832174493294, -0.0690446261022436, -0.04278481271436536, -0.0695922510110234, -0.12441088110453596, -0.2507406809024121, 0.12163983453800412, -0.08884824283886701, -0.13493696440809322, -0.04625973026513269, -0.17292505662251068, -0.06884299231153962, -0.07117825037015504, 0.16894770939711873, -0.09537754570820221, 0.24715640576507308, -0.2895901363637102, -0.09064779582580454, 0.47347043893839186, -0.1833873180966628, -0.1447799232641333, 0.15682698044141657, -0.11635613861052614, -0.16589176988376206, 0.11416136773401185, 0.1955728301404681, 0.1058728309813887, -0.10669790466168994, 0.20848243658455382, -0.05084919963448652, 0.18560402407065818, 0.06651477957095363, 0.11121641460217928, 0.3765180561397421, 0.28285073960494056, 0.11518201124119132, 0.051970167897984774, -0.13859422288246845, -0.06117005930037091, -0.4405429841656434, -0.14216826367927224, -0.06531465798616409, -0.04323527274690078, -0.053576667903996025, -0.10628432223916445, 0.38636347351007555, 0.10049926797173132, 0.2679075345936182, 0.031248401046583527, 0.3735512131028564, 0.05289447518482216, 0.033417971818217714, 0.01733691766367931, 0.37110208766044755, 0.16522905842499122, 0.04193316957619237, -0.18508180035278202, -0.014899447510067962, 0.019304382421174333] |
708.3343 | Thermal gravitational waves | There is a lot of current interest in sources of gravitational waves and
active ongoing projects to detect such radiation, such as the LIGO project.
These are long wavelength, low frequency gravitational waves. LISA would be
sensitive to much longer wavelengths and lower fluxes. However compact stellar
objects can generate high frequency thermal gravitational radiation, which in
the case of hot neutron stars can be high. Also white dwarfs and main-sequence
stars can generate such radiation from plasma-Coulomb collisions. Again gamma
ray bursts and relativistic jets could also be sources of such radiation.
Terminal stages of evaporating black holes could also generate high frequency
gravitational radiation. A comparative study is made of the thermal
gravitational wave emission from all of the above sources, and the background
flux is estimated. The earliest phases of the universe close to the Planck
scale would also leave remnant thermal gravitational waves. The integrated
thermal gravitational flux as the universe expands is also estimated and
compared with that from all the discrete sources discussed above. Possible
schemes to detect such sources of high frequency thermal gravitational
radiation are discussed and the physical principles involved are elaborated.
| astro-ph | there is a lot of current interest in sources of gravitational waves and active ongoing projects to detect such radiation such as the ligo project these are long wavelength low frequency gravitational waves lisa would be sensitive to much longer wavelengths and lower fluxes however compact stellar objects can generate high frequency thermal gravitational radiation which in the case of hot neutron stars can be high also white dwarfs and mainsequence stars can generate such radiation from plasmacoulomb collisions again gamma ray bursts and relativistic jets could also be sources of such radiation terminal stages of evaporating black holes could also generate high frequency gravitational radiation a comparative study is made of the thermal gravitational wave emission from all of the above sources and the background flux is estimated the earliest phases of the universe close to the planck scale would also leave remnant thermal gravitational waves the integrated thermal gravitational flux as the universe expands is also estimated and compared with that from all the discrete sources discussed above possible schemes to detect such sources of high frequency thermal gravitational radiation are discussed and the physical principles involved are elaborated | [['there', 'is', 'a', 'lot', 'of', 'current', 'interest', 'in', 'sources', 'of', 'gravitational', 'waves', 'and', 'active', 'ongoing', 'projects', 'to', 'detect', 'such', 'radiation', 'such', 'as', 'the', 'ligo', 'project', 'these', 'are', 'long', 'wavelength', 'low', 'frequency', 'gravitational', 'waves', 'lisa', 'would', 'be', 'sensitive', 'to', 'much', 'longer', 'wavelengths', 'and', 'lower', 'fluxes', 'however', 'compact', 'stellar', 'objects', 'can', 'generate', 'high', 'frequency', 'thermal', 'gravitational', 'radiation', 'which', 'in', 'the', 'case', 'of', 'hot', 'neutron', 'stars', 'can', 'be', 'high', 'also', 'white', 'dwarfs', 'and', 'mainsequence', 'stars', 'can', 'generate', 'such', 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'frequency', 'thermal', 'gravitational', 'radiation', 'are', 'discussed', 'and', 'the', 'physical', 'principles', 'involved', 'are', 'elaborated']] | [-0.10264839018774709, 0.24090772653488737, -0.054657688893769915, 0.1500687699786412, -0.13299356673868667, -0.04374668908605695, -0.00473259552994645, 0.3812408575518547, -0.2034989595413208, -0.3225164138810023, 0.09021562499508849, -0.31242673972523527, -0.026932966448427912, 0.2666606732546107, -0.010569787753353778, 0.003046083283659659, 0.037438780394088676, -0.026872618494273505, -0.019322362248356897, -0.17676054515790096, 0.3014957386056746, 0.16810345148520642, 0.19019204736932327, 0.019705241570543302, 0.07802963948955662, -0.1195367468324931, -0.08600759738320975, -0.009363045781164578, -0.06772089747755672, -0.030092659118236043, 0.27350752854376637, 0.15342692094119756, 0.18255194532707958, -0.4444647251640593, -0.29227652146333927, 0.12083834062091467, 0.13260072850818305, 0.13155081911490446, -0.06885899522488839, 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708.3344 | Higgs-mass predictions | A compilation of Higgs-mass predictions is proposed
| hep-ph hep-th | a compilation of higgsmass predictions is proposed | [['a', 'compilation', 'of', 'higgsmass', 'predictions', 'is', 'proposed']] | [-0.09734199515410832, -0.06670423756752696, -0.14187154883984476, 0.013805349041441721, -0.1819510686078242, -0.12672353688893573, 0.05864329769143036, 0.2965493564094816, -0.10652377296771322, -0.3147659754114492, 0.03625461592205933, -0.30197510176471304, -0.0015800301916897297, 0.26469030124800547, -0.0237846224169646, 0.08801091096497007, 0.16975258876170432, -0.0527561219143016, -0.10143718442746572, -0.2201208472251892, 0.1852081992796489, 0.14111271553805896, 0.35379593233977047, 0.006266767691288676, 0.0719947114453784, -0.13429734616407327, -0.13926680425980262, 0.041106702759861946, -0.13258172505136048, 0.18441893067210913, 0.2264197181378092, 0.2646790857293776, 0.20512547503624642, -0.25031727153275696, -0.1918473414012364, 0.008707884699106216, 0.0712750463613442, 0.2073060375239168, -0.047504431435040066, -0.2548045516014099, 0.09847365372947284, -0.262906907924584, -0.04715124863599028, -0.08425008186272212, 0.03560024446674755, -0.06975319422781467, -0.34208548069000244, 0.02156391041353345, 0.005392042387809072, 0.008642785517232758, -0.02671553540442671, -0.10462578279631478, -0.025265056107725416, 0.0009340965854270118, -0.03810063367044287, 0.07957839327199119, 0.10668180590229374, -0.08391779687787805, -0.17829672589765064, 0.39788409003189634, -0.08254438006718244, -0.07788836862891912, 0.1448947936296463, -0.007514153075005327, -0.1398895468030657, 0.072621650993824, 0.1015509172741856, 0.09266269845621926, -0.20437257949795043, 0.09762930018561226, -0.04783047895346369, 0.20303103380969592, -0.07707957550883293, -0.06833893113902637, 0.13150424536849772, 0.31001022458076477, -0.10604791662522725, 0.07305178259100233, -0.07944485172629356, -0.07326710170933179, -0.417195914047105, -0.1124582588672638, -0.15395405835339002, -0.009338748183966215, -0.06156904862395355, -0.11212410990680967, 0.3960241010146482, 0.18971778345959528, 0.21600999683141708, 0.1613926248891013, 0.3652858468038695, 0.034906750944043906, 0.11846942348139626, 0.0639460594393313, 0.28150167635508944, 0.15094966707485064, 0.033684972141470225, -0.2024157590764974, 0.18748077277892403, 0.06641542113253049] |
708.3345 | Transitions involving conical magnetic phases in a model with bilinear
and biquadratic interactions | In a previous work a model was proposed for the phase transitions of crystals
with localized magnetic moments which at low temperature have a "conical"
arrangement that at higher T transforms into a more symmetrical structure
(depending on the compound) before becoming totally disordered. The model
assumes bilinear and biquadratic interactions between magnetic moments up to
the fifth neighbours, and for any given T the structure with the least free
energy is obtained by a mean-field approximation (MFA). The interaction
constants are derived from ab initio energy calculations. In this work we
improve upon that model modifying the MFA in such a way that a continuous
(instead of discontinuous) spectrum of excited states is available to the
system. In the previous work, which dealt with LaMn_2Ge_2 and LaMn_2Si_2, we
found that transitions to different structures can be obtained for increasing
T, in good qualitative agreement with experiment. The critical temperatures,
however, were exaggerately high. With the new MFA we obtain essentially the
same behaviour concerning the phase transitions, and critical temperatures much
closer to the experimental ones.
| cond-mat.stat-mech | in a previous work a model was proposed for the phase transitions of crystals with localized magnetic moments which at low temperature have a conical arrangement that at higher t transforms into a more symmetrical structure depending on the compound before becoming totally disordered the model assumes bilinear and biquadratic interactions between magnetic moments up to the fifth neighbours and for any given t the structure with the least free energy is obtained by a meanfield approximation mfa the interaction constants are derived from ab initio energy calculations in this work we improve upon that model modifying the mfa in such a way that a continuous instead of discontinuous spectrum of excited states is available to the system in the previous work which dealt with lamn_2ge_2 and lamn_2si_2 we found that transitions to different structures can be obtained for increasing t in good qualitative agreement with experiment the critical temperatures however were exaggerately high with the new mfa we obtain essentially the same behaviour concerning the phase transitions and critical temperatures much closer to the experimental ones | [['in', 'a', 'previous', 'work', 'a', 'model', 'was', 'proposed', 'for', 'the', 'phase', 'transitions', 'of', 'crystals', 'with', 'localized', 'magnetic', 'moments', 'which', 'at', 'low', 'temperature', 'have', 'a', 'conical', 'arrangement', 'that', 'at', 'higher', 't', 'transforms', 'into', 'a', 'more', 'symmetrical', 'structure', 'depending', 'on', 'the', 'compound', 'before', 'becoming', 'totally', 'disordered', 'the', 'model', 'assumes', 'bilinear', 'and', 'biquadratic', 'interactions', 'between', 'magnetic', 'moments', 'up', 'to', 'the', 'fifth', 'neighbours', 'and', 'for', 'any', 'given', 't', 'the', 'structure', 'with', 'the', 'least', 'free', 'energy', 'is', 'obtained', 'by', 'a', 'meanfield', 'approximation', 'mfa', 'the', 'interaction', 'constants', 'are', 'derived', 'from', 'ab', 'initio', 'energy', 'calculations', 'in', 'this', 'work', 'we', 'improve', 'upon', 'that', 'model', 'modifying', 'the', 'mfa', 'in', 'such', 'a', 'way', 'that', 'a', 'continuous', 'instead', 'of', 'discontinuous', 'spectrum', 'of', 'excited', 'states', 'is', 'available', 'to', 'the', 'system', 'in', 'the', 'previous', 'work', 'which', 'dealt', 'with', 'lamn_2ge_2', 'and', 'lamn_2si_2', 'we', 'found', 'that', 'transitions', 'to', 'different', 'structures', 'can', 'be', 'obtained', 'for', 'increasing', 't', 'in', 'good', 'qualitative', 'agreement', 'with', 'experiment', 'the', 'critical', 'temperatures', 'however', 'were', 'exaggerately', 'high', 'with', 'the', 'new', 'mfa', 'we', 'obtain', 'essentially', 'the', 'same', 'behaviour', 'concerning', 'the', 'phase', 'transitions', 'and', 'critical', 'temperatures', 'much', 'closer', 'to', 'the', 'experimental', 'ones']] | [-0.11088343371366868, 0.1724695567022902, -0.07776049689032491, 0.04544749863287862, -0.021423909043754054, -0.12761794847179334, 0.07539016303831134, 0.37899064877466565, -0.23721504798319576, -0.3058735096222325, 0.03631164142313338, -0.3104712936128008, -0.10803022120153295, 0.16018227458899392, 0.05806719894178383, 0.02763357137038169, 0.010663808522820901, 0.06510970893586268, -0.10324299989814131, -0.20921717196082076, 0.29894097481757914, 0.08089379142520242, 0.2698699590353959, 0.0592373025485839, 0.04187492729665112, -0.023027904568529076, 0.060077034271504175, 0.05039447650377606, -0.1286037829900281, 0.09284810897266631, 0.23466077535553706, -0.005843207984092249, 0.2084408959175792, -0.43185041309601957, -0.24734308565806212, 0.07264087013579135, 0.128108179654348, 0.13073552935518024, -0.049588193271684476, -0.27501814975938493, 0.08505422530974123, -0.1347484323584164, -0.12519574916022347, -0.09899508848722124, 0.0017422469407748218, 0.02697274512704997, -0.2845886972145413, 0.08515622050249842, 0.062020657209401156, 0.07925101096474066, -0.1077786488217655, -0.1402002874963874, -0.032823400708429255, 0.10294823193569379, 0.03305103114990775, 0.07888243017429165, 0.07910209838247419, -0.118858936527107, -0.09363190427318151, 0.36954744027435094, -0.07264906674123037, -0.13408584142071678, 0.19939097371781994, -0.18092635472776133, -0.1333487133858304, 0.16475043244841883, 0.12024302040922573, 0.10670523827991865, -0.12283068091840077, 0.0655508488338058, -0.0006352582459348714, 0.17044442804027135, 0.03706010923474685, -0.014672325700951337, 0.1696824708708626, 0.1351800206192266, 0.031358072990498066, 0.13431813490199696, -0.039291077736369064, -0.13058226010708632, -0.2576449742947502, -0.1251248469758222, -0.19027963303157996, 0.016644066140783585, -0.07120461421503535, -0.15881445755494286, 0.39196335942880517, 0.15170390462642, 0.22433570683826745, 0.023721243068174427, 0.27753925069781216, 0.1342944371160762, 0.07279996235651531, 0.0636219141774693, 0.26260154288604687, 0.1269730554021167, 0.10993025734105372, -0.19671492620194653, 0.06693597876027911, 0.046775181491420355] |
708.3346 | Fluctuations in the Site Disordered Traveling Salesman Problem | We extend a previous statistical mechanical treatment of the traveling
salesman problem by defining a discrete "site disordered'' problem in which
fluctuations about saddle points can be computed. The results clarify the basis
of our original treatment, and illuminate but do not resolve the difficulties
of taking the zero temperature limit to obtain minimal path lengths.
| cond-mat.dis-nn | we extend a previous statistical mechanical treatment of the traveling salesman problem by defining a discrete site disordered problem in which fluctuations about saddle points can be computed the results clarify the basis of our original treatment and illuminate but do not resolve the difficulties of taking the zero temperature limit to obtain minimal path lengths | [['we', 'extend', 'a', 'previous', 'statistical', 'mechanical', 'treatment', 'of', 'the', 'traveling', 'salesman', 'problem', 'by', 'defining', 'a', 'discrete', 'site', 'disordered', 'problem', 'in', 'which', 'fluctuations', 'about', 'saddle', 'points', 'can', 'be', 'computed', 'the', 'results', 'clarify', 'the', 'basis', 'of', 'our', 'original', 'treatment', 'and', 'illuminate', 'but', 'do', 'not', 'resolve', 'the', 'difficulties', 'of', 'taking', 'the', 'zero', 'temperature', 'limit', 'to', 'obtain', 'minimal', 'path', 'lengths']] | [-0.11556960279371456, 0.10261540918976866, -0.12306792308975543, 0.09668884165252425, -0.08937975288634854, -0.12354320003318467, 0.1085838789502824, 0.324298947409261, -0.3042438409424254, -0.27775938908702563, 0.0939836516689476, -0.26028951284076485, -0.10926816160125392, 0.15474401401297655, -0.09150868043070659, 0.038217685517988036, 0.09720208239741623, 0.01563115866987833, -0.0941906391090015, -0.2235996538074687, 0.2688866803988016, 0.037856754081855924, 0.2501521653362683, 0.08440346532734111, 0.0722108554078399, 0.050400229794571975, -0.014362146113333958, 0.06300416291092656, -0.1645951552200131, 0.08641684723469163, 0.26336766824325814, 0.07361894124187529, 0.2903298308873283, -0.4733604806076203, -0.28412569816906136, 0.14745257172035053, 0.14198845909309707, 0.16790612158989202, 0.038464228938599784, -0.255708926731521, 0.049165023623832634, -0.06078619518666528, -0.21312565112852358, -0.03625961443010185, -0.058620498823334595, 0.0006920349717672382, -0.19765696203934827, 0.06716943123111767, 0.08353957901376166, 0.037830410026279945, -0.07922984350755412, -0.13654096630801046, -0.0032030588273690747, 0.1411289783843261, 0.057241087480049045, 0.02699829253002203, 0.10813497371938345, -0.08650402912670481, -0.14362878000455176, 0.4041982098050149, 0.0249840462181185, -0.209306271098155, 0.13622043910436332, -0.1312262235109561, -0.08325361646711826, 0.1550350227459733, 0.1405261701438576, 0.10543333285854065, -0.1654109708532425, 0.07720873614536165, -0.06389701472861427, 0.13650005016825162, 0.10688565037811973, 0.015004221083862441, 0.20567809404084464, 0.11428195294969815, 0.07572164578180361, 0.14766043199467407, -0.03811688887695449, -0.13918448951361434, -0.3021021110471338, -0.11300519627651998, -0.17182919234203706, 0.06339982117502327, -0.08317624446161583, -0.19719974514113606, 0.379292376239651, 0.19797670772199386, 0.21646862232591957, 0.0775876284315018, 0.23671828715928964, 0.138527533591384, 0.014043769769029626, 0.06644380174527344, 0.22311437729513273, 0.13008749309145579, 0.042414010785120936, -0.25688370116820025, 0.025291671347596485, 0.10429656708479992] |
708.3347 | Lens spaces obtainable by surgery on doubly primitive knots | In this paper, we consider which lens spaces are obtainable by Dehn surgery
described by Berge on doubly primitive knots. It is given an algorithm to
decide whether a given lens space is obtainable by such surgery. Also included
is a complete characterization of such surgery yielding lens spaces with Klein
bottles.
| math.GT | in this paper we consider which lens spaces are obtainable by dehn surgery described by berge on doubly primitive knots it is given an algorithm to decide whether a given lens space is obtainable by such surgery also included is a complete characterization of such surgery yielding lens spaces with klein bottles | [['in', 'this', 'paper', 'we', 'consider', 'which', 'lens', 'spaces', 'are', 'obtainable', 'by', 'dehn', 'surgery', 'described', 'by', 'berge', 'on', 'doubly', 'primitive', 'knots', 'it', 'is', 'given', 'an', 'algorithm', 'to', 'decide', 'whether', 'a', 'given', 'lens', 'space', 'is', 'obtainable', 'by', 'such', 'surgery', 'also', 'included', 'is', 'a', 'complete', 'characterization', 'of', 'such', 'surgery', 'yielding', 'lens', 'spaces', 'with', 'klein', 'bottles']] | [-0.17413193619666764, 0.10304234283690815, -0.07491965344748817, 0.09942148477645017, -0.1335734067699657, -0.18533348025252613, -0.030349945271154866, 0.3967791259861909, -0.24687039393645066, -0.32033815009232897, 0.16019153035953282, -0.23199914064473257, -0.2314581246688389, 0.283054260429568, -0.20678412611596286, 0.01957652715761399, 0.11682222599092011, 0.03923634400304694, -0.053621185531553164, -0.34348695227750936, 0.3977309482601973, -0.04057652739664683, 0.08949123447438559, 0.054151481814467564, 0.13047386607370123, 0.10062051819673237, -0.042714995600712985, 0.09475772781241595, -0.2595068084864089, 0.0744046349114237, 0.23752394494099113, 0.1223582450676566, 0.1541500704725667, -0.31542744039772797, -0.2066286732800878, 0.12848041887180164, 0.134061698971961, 0.0028097051119682593, -0.050092933334571384, -0.31763910280110746, 0.06344264338706405, -0.12300333523979554, -0.11211191969386373, -0.05598484871622462, -0.0014478278238899433, -0.0006958661027825796, -0.19252614662624323, -0.04677038412829951, 0.06129552527832297, 0.08101377448810336, -0.002186134717283914, -0.011425166247555843, -0.00852762065971127, 0.1455263011605264, -0.02702365449155108, 0.12138666885976608, 0.08792868612978894, -0.09533695519740622, -0.16054139035538986, 0.4143233643128322, 0.01577381150295528, -0.2837932538241148, 0.10246513137378944, -0.1171054632599967, -0.1307381750532211, 0.23197420505591884, 0.0670144867259436, 0.1266573746330463, -0.0994219402782619, 0.05178690957850799, -0.11883866215626207, 0.13113977740375468, 0.13017671063649827, -0.06848010365278102, 0.18264209432527423, 0.15991856057483417, 0.13002453790977597, 0.16845201374962926, 0.015057357990791878, 0.028740252737546913, -0.30058612989691585, -0.254363897726692, -0.1919351807490994, 0.15150613249995962, -0.04207509834892475, -0.21367195416958287, 0.336031766814323, -0.03411060541223448, 0.12914016586728394, 0.09758060828719933, 0.30854219117631704, 0.061136344608922415, 0.04526478754213223, 0.05119660121496194, 0.18852907908149064, 0.09371147048211871, -0.057222390574259825, -0.07922988303471357, -0.002282419609120832, 0.17880092781538573] |
708.3348 | Lorentz violation and the proper-time method | In this paper, we apply the proper-time method to generate the
Lorentz-violating Chern-Simons terms in the four-dimensional Yang-Mills and
non-linearized gravity theories. It is shown that the coefficient of the
induced Chern-Simons term is finite but regularization dependent.
| hep-th | in this paper we apply the propertime method to generate the lorentzviolating chernsimons terms in the fourdimensional yangmills and nonlinearized gravity theories it is shown that the coefficient of the induced chernsimons term is finite but regularization dependent | [['in', 'this', 'paper', 'we', 'apply', 'the', 'propertime', 'method', 'to', 'generate', 'the', 'lorentzviolating', 'chernsimons', 'terms', 'in', 'the', 'fourdimensional', 'yangmills', 'and', 'nonlinearized', 'gravity', 'theories', 'it', 'is', 'shown', 'that', 'the', 'coefficient', 'of', 'the', 'induced', 'chernsimons', 'term', 'is', 'finite', 'but', 'regularization', 'dependent']] | [-0.14017303568911493, 0.19594899974273225, -0.10807658653510244, 0.08805765198408871, -0.11890626512467861, -0.1398246068213331, -0.09971682396165929, 0.2799959915052903, -0.17965521545786606, -0.23561903845371776, 0.00944143366436229, -0.26783911690213963, -0.2932239156216383, 0.07569762356089134, -0.11245802794828226, 0.032047533577210026, -0.02876453290350343, 0.088066772655829, -0.12117692479545153, -0.3279910662064427, 0.3605056064889619, 0.023883436487889605, 0.25530430397606996, 0.13270907938529394, 0.19383286339181818, -0.038570563725538944, -0.05186454995878433, 0.07478550091189773, -0.12449443296894683, 0.10444877637354166, 0.22523515658011953, 0.02635555738877309, 0.1550737907129683, -0.38005434883464323, -0.28037537102538507, 0.06751945945679357, 0.1411951195056501, 0.1581200153419846, 0.03849966963753104, -0.2587189749373417, 0.030356818319935547, -0.23320716545353398, -0.07850432824833613, -0.11430070105646002, -0.0035759108141064644, -0.15314875127851815, -0.2926931727285448, 0.11933656101188574, 0.006784619205925418, -0.006271262285544684, -0.07143428286316951, -0.025775196079752948, -0.017863011379775248, 0.039046983919290235, 0.1769545000218051, 0.13463924290906443, 0.07725890261415196, -0.1793215111323853, -0.07912359612160608, 0.40997019753252206, -0.17014871390634462, -0.33040481472485944, 0.1227465668252032, -0.16222213576302716, -0.15844903847104624, 0.047947132249215714, 0.10958764149415258, 0.23685645660091387, -0.14378642630273183, 0.23991154483366317, -0.024210818111896515, 0.1289656229905392, 0.10470668640673945, 0.025282072797907812, 0.1700407672477396, 0.05543094265617823, 0.07056654079229031, 0.1355986462195257, -0.02152007154041999, -0.0975463853805865, -0.4243961486377214, -0.14093213524105713, -0.16367974133524849, 0.0364394508314466, -0.13608133970525446, -0.21979796153563688, 0.35479773512404217, 0.2089185054953161, 0.06774145872087071, 0.07421841697865411, 0.2295184699622424, 0.22089065611362457, 0.10626572172010415, 0.03161313665393544, 0.2507182219476243, 0.19241316096955224, 0.0741555022112535, -0.3495040393042329, -0.09538112584452488, 0.22543829645177252] |
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