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709.4035 | Energy Efficient Estimation of Gaussian Sources Over Inhomogeneous
Gaussian MAC Channels | It has been shown lately the optimality of uncoded transmission in estimating
Gaussian sources over homogeneous/symmetric Gaussian multiple access channels
(MAC) using multiple sensors. It remains, however, unclear whether it still
holds for any arbitrary networks and/or with high channel signal-to-noise ratio
(SNR) and high signal-to-measurement-noise ratio (SMNR). In this paper, we
first provide a joint source and channel coding approach in estimating Gaussian
sources over Gaussian MAC channels, as well as its sufficient and necessary
condition in restoring Gaussian sources with a prescribed distortion value. An
interesting relationship between our proposed joint approach with a more
straightforward separate source and channel coding scheme is then established.
We then formulate constrained power minimization problems and transform them to
relaxed convex geometric programming problems, whose numerical results exhibit
that either separate or uncoded scheme becomes dominant over a linear topology
network. In addition, we prove that the optimal decoding order to minimize the
total transmission powers for both source and channel coding parts is solely
subject to the ranking of MAC channel qualities, and has nothing to do with the
ranking of measurement qualities. Finally, asymptotic results for homogeneous
networks are obtained which not only confirm the existing optimality of the
uncoded approach, but also show that the asymptotic SNR exponents of these
three approaches are all the same. Moreover, the proposed joint approach share
the same asymptotic ratio with respect to high SNR and high SMNR as the uncoded
scheme.
| cs.IT math.IT | it has been shown lately the optimality of uncoded transmission in estimating gaussian sources over homogeneoussymmetric gaussian multiple access channels mac using multiple sensors it remains however unclear whether it still holds for any arbitrary networks andor with high channel signaltonoise ratio snr and high signaltomeasurementnoise ratio smnr in this paper we first provide a joint source and channel coding approach in estimating gaussian sources over gaussian mac channels as well as its sufficient and necessary condition in restoring gaussian sources with a prescribed distortion value an interesting relationship between our proposed joint approach with a more straightforward separate source and channel coding scheme is then established we then formulate constrained power minimization problems and transform them to relaxed convex geometric programming problems whose numerical results exhibit that either separate or uncoded scheme becomes dominant over a linear topology network in addition we prove that the optimal decoding order to minimize the total transmission powers for both source and channel coding parts is solely subject to the ranking of mac channel qualities and has nothing to do with the ranking of measurement qualities finally asymptotic results for homogeneous networks are obtained which not only confirm the existing optimality of the uncoded approach but also show that the asymptotic snr exponents of these three approaches are all the same moreover the proposed joint approach share the same asymptotic ratio with respect to high snr and high smnr as the uncoded scheme | [['it', 'has', 'been', 'shown', 'lately', 'the', 'optimality', 'of', 'uncoded', 'transmission', 'in', 'estimating', 'gaussian', 'sources', 'over', 'homogeneoussymmetric', 'gaussian', 'multiple', 'access', 'channels', 'mac', 'using', 'multiple', 'sensors', 'it', 'remains', 'however', 'unclear', 'whether', 'it', 'still', 'holds', 'for', 'any', 'arbitrary', 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709.4036 | Resolved Sideband Cooling of a Micromechanical Oscillator | Micro- and nanoscale opto-mechanical systems provide radiation pressure
coupling of optical and mechanical degree of freedom and are actively pursued
for their ability to explore quantum mechanical phenomena of macroscopic
objects. Many of these investigations require preparation of the mechanical
system in or close to its quantum ground state. Remarkable progress in ground
state cooling has been achieved for trapped ions and atoms confined in optical
lattices. Imperative to this progress has been the technique of resolved
sideband cooling, which allows overcoming the inherent temperature limit of
Doppler cooling and necessitates a harmonic trapping frequency which exceeds
the atomic species' transition rate. The recent advent of cavity back-action
cooling of mechanical oscillators by radiation pressure has followed a similar
path with Doppler-type cooling being demonstrated, but lacking inherently the
ability to attain ground state cooling as recently predicted. Here we
demonstrate for the first time resolved sideband cooling of a mechanical
oscillator. By pumping the first lower sideband of an optical microcavity,
whose decay rate is more than twenty times smaller than the eigen-frequency of
the associated mechanical oscillator, cooling rates above 1.5 MHz are attained.
Direct spectroscopy of the motional sidebands reveals 40-fold suppression of
motional increasing processes, which could enable reaching phonon occupancies
well below unity (<0.03). Elemental demonstration of resolved sideband cooling
as reported here should find widespread use in opto-mechanical cooling
experiments. Apart from ground state cooling, this regime allows realization of
motion measurement with an accuracy exceeding the standard quantum limit.
| quant-ph | micro and nanoscale optomechanical systems provide radiation pressure coupling of optical and mechanical degree of freedom and are actively pursued for their ability to explore quantum mechanical phenomena of macroscopic objects many of these investigations require preparation of the mechanical system in or close to its quantum ground state remarkable progress in ground state cooling has been achieved for trapped ions and atoms confined in optical lattices imperative to this progress has been the technique of resolved sideband cooling which allows overcoming the inherent temperature limit of doppler cooling and necessitates a harmonic trapping frequency which exceeds the atomic species transition rate the recent advent of cavity backaction cooling of mechanical oscillators by radiation pressure has followed a similar path with dopplertype cooling being demonstrated but lacking inherently the ability to attain ground state cooling as recently predicted here we demonstrate for the first time resolved sideband cooling of a mechanical oscillator by pumping the first lower sideband of an optical microcavity whose decay rate is more than twenty times smaller than the eigenfrequency of the associated mechanical oscillator cooling rates above 15 mhz are attained direct spectroscopy of the motional sidebands reveals 40fold suppression of motional increasing processes which could enable reaching phonon occupancies well below unity 003 elemental demonstration of resolved sideband cooling as reported here should find widespread use in optomechanical cooling experiments apart from ground state cooling this regime allows realization of motion measurement with an accuracy exceeding the standard quantum limit | [['micro', 'and', 'nanoscale', 'optomechanical', 'systems', 'provide', 'radiation', 'pressure', 'coupling', 'of', 'optical', 'and', 'mechanical', 'degree', 'of', 'freedom', 'and', 'are', 'actively', 'pursued', 'for', 'their', 'ability', 'to', 'explore', 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709.4037 | On Log Canonical Models of the Moduli Space of Stable Pointed Curves | We study the log canonical models of the moduli space MBar_{0,n} of pointed
stable genus zero curves with respect to the standard log canonical divisors
K+aD, where D denotes the boundary. In particular we show that, as a formal
consequence of a conjecture by Fulton regarding the ample cone of MBar_{0,n},
these log canonical models are equal to certain of Hassett's weighted pointed
curve spaces.
| math.AG | we study the log canonical models of the moduli space mbar_0n of pointed stable genus zero curves with respect to the standard log canonical divisors kad where d denotes the boundary in particular we show that as a formal consequence of a conjecture by fulton regarding the ample cone of mbar_0n these log canonical models are equal to certain of hassetts weighted pointed curve spaces | [['we', 'study', 'the', 'log', 'canonical', 'models', 'of', 'the', 'moduli', 'space', 'mbar_0n', 'of', 'pointed', 'stable', 'genus', 'zero', 'curves', 'with', 'respect', 'to', 'the', 'standard', 'log', 'canonical', 'divisors', 'kad', 'where', 'd', 'denotes', 'the', 'boundary', 'in', 'particular', 'we', 'show', 'that', 'as', 'a', 'formal', 'consequence', 'of', 'a', 'conjecture', 'by', 'fulton', 'regarding', 'the', 'ample', 'cone', 'of', 'mbar_0n', 'these', 'log', 'canonical', 'models', 'are', 'equal', 'to', 'certain', 'of', 'hassetts', 'weighted', 'pointed', 'curve', 'spaces']] | [-0.1834457594041641, 0.08796021012732616, -0.10760542887907762, 0.11477214906078119, -0.05061124614798106, -0.1648204764494529, 0.0685993464054683, 0.31208357490026034, -0.28878903760073277, -0.21703391284055004, 0.06922204161170296, -0.2745854139722024, -0.15595457791708983, 0.2142331161751197, -0.16943923434099326, 0.030358399035265812, 0.022632544065037598, 0.0494178267625662, -0.15438338943327276, -0.33149231321250017, 0.4337612749865422, -0.011913167821386685, 0.20506912565503557, 0.01921766477708633, 0.10299601001450076, -0.0027147617011975783, -0.024269267429526037, 0.00859629399313305, -0.1843579303514651, 0.13113471747447664, 0.26083020396461226, 0.10122689709353905, 0.17958546713567697, -0.3267582872739205, -0.17948827905795323, 0.24829402626850283, 0.08221628690998141, -0.055496204787722, 0.08767243408096524, -0.17833094578236341, 0.1260626883113918, -0.11215107718912455, -0.19942350345663726, -0.08895866318175999, 0.06540323352584472, 0.022947714402555275, -0.17677503229620364, -0.024292543430167894, 0.0704129217335811, 0.12715058203276175, -0.04117461068627353, -0.14241254111178792, -0.12581443085442656, -0.006620722650908507, 0.06220799720344635, 0.0789023764897138, 0.01875651380620324, -0.09710466926201032, -0.06593898968197978, 0.370206712343945, -0.12321370943234516, -0.15166041733553776, 0.09429182495492008, -0.1305017167917238, -0.11334015979933051, 0.08128824001894547, 0.06217557029941907, 0.2361088551580906, 0.03109241390170959, 0.19538186351553752, -0.1274056494074802, 0.07279715695633338, 0.10488482562538523, -0.024674527153659327, 0.1357175437017129, 0.0857026037795899, 0.050632183225109026, 0.09910942886490375, -0.03683547265469455, -0.11282312122370618, -0.39602056546853137, -0.23765650749063263, -0.08028920063605675, 0.1628953452150409, -0.1482150544770635, -0.19168563559651375, 0.31180889020459013, 0.036736205119926195, 0.29668824549477835, 0.13586019178709158, 0.22935738317811719, 0.06705279017691142, -0.0006793283373833849, 0.07724427808649265, 0.14785180133409226, 0.2011795832739713, -0.04812355160426635, -0.15443991827420317, -0.02162100439891219, 0.1675365095671553] |
709.4038 | Quantum theory of an accelerating universe | We review some of the well-known features of quantum cosmology, such as the
factor ordering problem, the wave function and the density matrix, for a dark
energy dominated universe, where analytical solutions can be obtained. For the
particular case of the phantom universe, we suggest a quantum system in which
the usual notion of locality (non-locality) of quantum information theory have
to be extended. In that case, we deal also with a quantum description where the
existence of a non-chronal region around the big rip singularity is explicitly
accounted for.
| gr-qc | we review some of the wellknown features of quantum cosmology such as the factor ordering problem the wave function and the density matrix for a dark energy dominated universe where analytical solutions can be obtained for the particular case of the phantom universe we suggest a quantum system in which the usual notion of locality nonlocality of quantum information theory have to be extended in that case we deal also with a quantum description where the existence of a nonchronal region around the big rip singularity is explicitly accounted for | [['we', 'review', 'some', 'of', 'the', 'wellknown', 'features', 'of', 'quantum', 'cosmology', 'such', 'as', 'the', 'factor', 'ordering', 'problem', 'the', 'wave', 'function', 'and', 'the', 'density', 'matrix', 'for', 'a', 'dark', 'energy', 'dominated', 'universe', 'where', 'analytical', 'solutions', 'can', 'be', 'obtained', 'for', 'the', 'particular', 'case', 'of', 'the', 'phantom', 'universe', 'we', 'suggest', 'a', 'quantum', 'system', 'in', 'which', 'the', 'usual', 'notion', 'of', 'locality', 'nonlocality', 'of', 'quantum', 'information', 'theory', 'have', 'to', 'be', 'extended', 'in', 'that', 'case', 'we', 'deal', 'also', 'with', 'a', 'quantum', 'description', 'where', 'the', 'existence', 'of', 'a', 'nonchronal', 'region', 'around', 'the', 'big', 'rip', 'singularity', 'is', 'explicitly', 'accounted', 'for']] | [-0.11653375385977914, 0.09754927641073807, -0.11879602571154076, 0.11113227629285892, -0.05157438585053334, -0.12945270750232124, -0.021880271092444406, 0.28374444060236886, -0.2678075197906223, -0.2550477824707547, 0.0982720437224201, -0.2697572354855162, -0.1427487414330244, 0.15864874466500256, -0.008060477724039844, 0.04417497078689297, 0.027198737330232443, 0.07690104341730894, -0.0706851592135689, -0.22499524877312477, 0.37216023034991674, 0.05863312813662662, 0.2256510546169338, 0.06737073959803648, 0.07446440845058205, -0.010575827455744567, 0.0332899143228705, 0.07680920460732298, -0.17161052951923103, 0.07022483775580532, 0.261119125641129, 0.14921935474018702, 0.25471272883842583, -0.4211278114091144, -0.26731784498381816, 0.1395997175046902, 0.15350644515429654, 0.1586268284381629, -0.07464673761487677, -0.30671859073735186, 0.09764976567900059, -0.19646351859549038, -0.1468841495996948, -0.04668709517749591, -0.024043115682565095, -0.04005704116955232, -0.23642819074997573, 0.1233785724070504, 0.047717925223909066, -0.011339003303914928, -0.07047650063138329, -0.040090216086978575, 0.05989244174515682, 0.05621735172429949, 0.02962601608387456, 0.007341303897948329, 0.10016394835593326, -0.19060785939205396, -0.08913494065846055, 0.40287519907683467, -0.0591697680261614, -0.18296574016384196, 0.10719301569369737, -0.1434511151269413, -0.14084187990677113, 0.0611209528614882, 0.09856174233646833, 0.09610780956370107, -0.09716287738476158, 0.1466700399099598, -0.02606787169048055, 0.14430003615326426, 0.07285382224016645, 0.09191719563468621, 0.2286033488056633, 0.1220949972231527, 0.05325369321573735, 0.11348007911073274, -0.04754108784385444, -0.16760908787693368, -0.3669285859031017, -0.20962164254749216, -0.19653480063621584, 0.0862389857665926, -0.11816584767778325, -0.18665662662419125, 0.3789003550629602, 0.11375628777497103, 0.199145897056154, 0.007704209846318856, 0.2504318086378109, 0.13443836721387598, 0.028484814878804294, 0.057148145077478014, 0.2411335833214375, 0.11868348851894144, 0.09593049037071426, -0.20946967119895174, 0.02879404513102569, 0.04839129534843011] |
709.4039 | (\omega, \phi) P^- decays of tau leptons | The \tau -> (\omega, \phi)P^-\nu decays, where P^-=\pi^-, K^-, are considered
within a phenomenological model with dominance of meson intermediate states. We
assume SU(3) flavor symmetry to fix some of the unknown strong interaction
couplings. Our predictions for the \tau -> \phi (\pi^-, K^-)\nu branching
fractions are in good agreement with recent measurements of the BABAR and BELLE
Collaborations.
| hep-ph | the tau omega phipnu decays where ppi k are considered within a phenomenological model with dominance of meson intermediate states we assume su3 flavor symmetry to fix some of the unknown strong interaction couplings our predictions for the tau phi pi knu branching fractions are in good agreement with recent measurements of the babar and belle collaborations | [['the', 'tau', 'omega', 'phipnu', 'decays', 'where', 'ppi', 'k', 'are', 'considered', 'within', 'a', 'phenomenological', 'model', 'with', 'dominance', 'of', 'meson', 'intermediate', 'states', 'we', 'assume', 'su3', 'flavor', 'symmetry', 'to', 'fix', 'some', 'of', 'the', 'unknown', 'strong', 'interaction', 'couplings', 'our', 'predictions', 'for', 'the', 'tau', 'phi', 'pi', 'knu', 'branching', 'fractions', 'are', 'in', 'good', 'agreement', 'with', 'recent', 'measurements', 'of', 'the', 'babar', 'and', 'belle', 'collaborations']] | [-0.15238076373290305, 0.26519425288175363, -0.06393106201929706, 0.09295892095126744, -0.08273524577297005, -0.17949391335215686, 0.09170538703619968, 0.3330807229503989, -0.17350504993061935, -0.20320520473511092, -0.058136274435258074, -0.36651529100657043, -0.0037105739798529874, 0.058629058644458255, 0.1359088022020712, 0.1077198807948402, 0.13360886994217122, 0.04893480973052127, -0.054932477368441014, -0.1697759282833431, 0.2311694950871502, -0.02638829195140196, 0.17547100431485368, 0.08092709588319329, -0.06041828960379852, -0.022650189123981233, -0.055043650940725844, -0.05134796325000934, -0.17543574658754682, 0.034016174774608644, 0.22245734225829697, 0.10144968616077676, 0.07018269941077701, -0.3564623178515051, -0.06400308435383652, 0.17673699556118144, 0.1446237574564293, 0.03631933392690761, -0.03440402409926589, -0.3985296945985673, 0.1485603743390779, -0.18134547029122977, -0.0774196119829347, -0.08189328798159425, 0.07005522461674575, -0.04359464408896331, -0.39404059860057067, 0.09488092736241274, -0.08391704174157764, 0.07306753296870738, -0.02752325272220852, -0.2978702256555802, -0.016992136399494484, 0.04490433061229331, 0.13892843953258957, 0.1330277205810749, 0.13959899608952192, -0.17293092235922813, -0.15759420261851378, 0.36950731496991857, -0.06797230235367481, -0.18449218930410488, 0.1679643865458534, -0.23682236009543495, -0.2088127072534657, 0.10283092758618295, 0.15955468085095553, 0.0050819288839453036, -0.1386563779919275, 0.17508139338107348, -0.09749869870886739, 0.14630829755749022, 0.03849339696794881, 0.05213234471206566, 0.1198427549097687, 0.1913257934918095, -0.07025562222718561, 0.012943008033159589, -0.001597749478865548, -0.10245200389597033, -0.43994333246415146, -0.05629403990211098, -0.06249019257458193, 0.09479600035618725, -0.06298195510810599, -0.04566701943986118, 0.33938119922199156, 0.04122120027230786, 0.3763589186460844, 0.06854269332585058, 0.25680591392197777, 0.05605704421343814, 0.04731731204498958, 0.02385997153136746, 0.3020904155424172, 0.21929414876337563, 0.09985006583987602, -0.3029766894303196, 0.049712418056775017, -0.005940046992951206] |
709.404 | Observing the evolution of the CMB | Most cosmological parameters are expected to change significantly only on
cosmological time scales, but given the large amount of information contained
within the Cosmic Microwave Background (CMB) sky, we can expect that changes in
the CMB should be observable on much shorter time scales. Here we quantify this
expectation, examining the detectability of the dominant effects on short time
scales. We find that an ideal future experiment with currently achievable
sensitivity could detect the changing dipole due to our galactic motion in
about 10 years, but that it would take around 4000 years to detect a change in
the higher order multipoles.
| astro-ph | most cosmological parameters are expected to change significantly only on cosmological time scales but given the large amount of information contained within the cosmic microwave background cmb sky we can expect that changes in the cmb should be observable on much shorter time scales here we quantify this expectation examining the detectability of the dominant effects on short time scales we find that an ideal future experiment with currently achievable sensitivity could detect the changing dipole due to our galactic motion in about 10 years but that it would take around 4000 years to detect a change in the higher order multipoles | [['most', 'cosmological', 'parameters', 'are', 'expected', 'to', 'change', 'significantly', 'only', 'on', 'cosmological', 'time', 'scales', 'but', 'given', 'the', 'large', 'amount', 'of', 'information', 'contained', 'within', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'sky', 'we', 'can', 'expect', 'that', 'changes', 'in', 'the', 'cmb', 'should', 'be', 'observable', 'on', 'much', 'shorter', 'time', 'scales', 'here', 'we', 'quantify', 'this', 'expectation', 'examining', 'the', 'detectability', 'of', 'the', 'dominant', 'effects', 'on', 'short', 'time', 'scales', 'we', 'find', 'that', 'an', 'ideal', 'future', 'experiment', 'with', 'currently', 'achievable', 'sensitivity', 'could', 'detect', 'the', 'changing', 'dipole', 'due', 'to', 'our', 'galactic', 'motion', 'in', 'about', '10', 'years', 'but', 'that', 'it', 'would', 'take', 'around', '4000', 'years', 'to', 'detect', 'a', 'change', 'in', 'the', 'higher', 'order', 'multipoles']] | [-0.12529372333094715, 0.17652272586793497, -0.05459091619259732, 0.11457280552028404, -0.12118084485843486, -0.03854334158092445, -0.004710033981074744, 0.36743068990900235, -0.26590981002778324, -0.34690044683806015, 0.09852159330187657, -0.3066610707513367, -0.03558601513641941, 0.21007786623165742, -0.01262200777829789, -0.05179888602944237, 0.030630095157653605, 0.030710148250720666, -0.05970144449669283, -0.28431519366316865, 0.23894229140726156, 0.20949220986050718, 0.22829705323823088, 0.04398704848854857, 0.06549430109204396, -0.08203379635005166, -0.08540560776258216, 0.04883886871895954, -0.12453872927168656, 0.04543085325820036, 0.247148667311515, 0.13687559944467947, 0.2098697961545458, -0.4436691176219314, -0.2310188446084366, 0.18330180814818425, 0.17265267251515945, 0.16828151315669804, -0.0017751606806710946, -0.2539788647006978, 0.06408846398584965, -0.13710386886754455, -0.09276937307132517, -0.05247696805014914, 0.05238782676101169, -0.038456802690109496, -0.2148915635805358, 0.09677963623064845, -0.004497803277427367, 0.03137339453450313, -0.038447937496718675, -0.09514574225371082, 0.020286461623732512, 0.09454516709928273, 0.07498184771176573, 0.06869197425297827, 0.18949934457173095, -0.09593710481125277, -0.0682843864219738, 0.40120331446329754, -0.11536683240225173, -0.09975662968103208, 0.16037489075724984, -0.27364450470343527, -0.14867279168410116, 0.12549525324036093, 0.20500999740005343, 0.09046910048060704, -0.1296367542498617, 0.0258182322266329, 0.037915658881413, 0.28624110888488885, 0.09744781049370181, 0.09377067604138717, 0.2982640967512613, 0.1423907788269514, 0.10491511139187816, 0.058375327335442324, -0.1792578881117972, -0.045725831551952104, -0.28297944591088475, -0.05633755713043844, -0.15694730875867546, 0.10365824651557441, -0.11968217488588291, -0.09489082029162377, 0.3997841135178711, 0.27363464537113175, 0.20611738612163155, 0.05921998172633204, 0.31033001116056946, 0.055839627429925126, 0.12248076599858262, 0.05223986311523499, 0.3417653730413055, 0.014473370696399725, 0.09914204715659805, -0.20683142960564616, 0.1012488908463103, -0.07529040387667277] |
709.4041 | A Generalization of De Vries Duality Theorem | Generalizing Duality Theorem of H. de Vries, we define a category which is
dually equivalent to the category of all locally compact Hausdorff spaces and
all perfect maps between them.
| math.GN math.CT | generalizing duality theorem of h de vries we define a category which is dually equivalent to the category of all locally compact hausdorff spaces and all perfect maps between them | [['generalizing', 'duality', 'theorem', 'of', 'h', 'de', 'vries', 'we', 'define', 'a', 'category', 'which', 'is', 'dually', 'equivalent', 'to', 'the', 'category', 'of', 'all', 'locally', 'compact', 'hausdorff', 'spaces', 'and', 'all', 'perfect', 'maps', 'between', 'them']] | [-0.11324756868804495, 0.0704534789857765, -0.07981916405260563, 0.16015834679904703, -0.13619041725372275, -0.17657106275049347, -0.055955264282723266, 0.3688767034560442, -0.3366188814242681, -0.1450117656495422, 0.08164305509223292, -0.23580036200582982, -0.11502521923587967, 0.1730789651473363, -0.195297244284302, -0.06639702767133712, 0.005258686095476151, 0.05187715732802947, -0.07838182744259635, -0.28456719991518187, 0.503390779470404, -0.050289788842201234, 0.30463846450050674, 0.003969305008649826, 0.16649969503438722, 0.030668663272323708, -0.04439807490756114, 0.07042703200131654, -0.20606496836214017, 0.15444790140415232, 0.3625635487337907, 0.1096507894496123, 0.1775633248888577, -0.26518002233157556, -0.09928468707948923, 0.2681043149282535, 0.024396153163009634, 0.03515106266907727, 0.07479179051394264, -0.38700351218382517, 0.12609576939915618, -0.1843799963593483, -0.09453390731165806, -0.029455684249599774, 0.09363810255502661, 0.008333585566530625, -0.21037180696924526, -0.0075235770472014945, 0.13599910866469145, 0.0008244752573470274, -0.15608105280747017, 0.02865181197412312, -0.16411288653810818, 0.1035829809649537, -0.13249886592384427, 0.06406407000807425, 0.06468421490862966, -0.016891691274940966, -0.10938154379837214, 0.3409620658804973, -0.08667128027106324, -0.24111820223430794, 0.1968277874092261, -0.12793094081183273, -0.13447714173234998, 0.11749329737698039, -0.01606693441669146, 0.1788354653865099, -0.037725977258135875, 0.23904426110093482, -0.16136395831902822, 0.05614280713101228, 0.21057614752401907, 0.10919081951142288, 0.1434612974524498, 0.059156580828130245, 0.12643180070444943, 0.15572930312094588, 0.06638588334802382, -0.05328927546700773, -0.3452659600103895, -0.2189840715378523, -0.06422343642140428, 0.11731896515314778, -0.13740276109068267, -0.24689144164634247, 0.2806739270687103, 0.07247246120435497, 0.15004343949258328, 0.20617114988854154, 0.19215939742668223, 0.0015178673823053638, 0.005592164117842913, 0.11112064785944918, 0.1021814014374589, 0.3086505283912023, -0.024592006718739866, -0.027885507373139263, -0.12973452607014527, 0.32469892386967936] |
709.4042 | Lack of consensus in social systems | We propose an exactly solvable model for the dynamics of voters in a
two-party system. The opinion formation process is modeled on a random network
of agents. The dynamical nature of interpersonal relations is also reflected in
the model, as the connections in the network evolve with the dynamics of the
voters. In the infinite time limit, an exact solution predicts the emergence of
consensus, for arbitrary initial conditions. However, before consensus is
reached, two different metastable states can persist for exponentially long
times. One state reflects a perfect balancing of opinions, the other reflects a
completely static situation. An estimate of the associated lifetimes suggests
that lack of consensus is typical for large systems.
| physics.soc-ph cond-mat.stat-mech | we propose an exactly solvable model for the dynamics of voters in a twoparty system the opinion formation process is modeled on a random network of agents the dynamical nature of interpersonal relations is also reflected in the model as the connections in the network evolve with the dynamics of the voters in the infinite time limit an exact solution predicts the emergence of consensus for arbitrary initial conditions however before consensus is reached two different metastable states can persist for exponentially long times one state reflects a perfect balancing of opinions the other reflects a completely static situation an estimate of the associated lifetimes suggests that lack of consensus is typical for large systems | [['we', 'propose', 'an', 'exactly', 'solvable', 'model', 'for', 'the', 'dynamics', 'of', 'voters', 'in', 'a', 'twoparty', 'system', 'the', 'opinion', 'formation', 'process', 'is', 'modeled', 'on', 'a', 'random', 'network', 'of', 'agents', 'the', 'dynamical', 'nature', 'of', 'interpersonal', 'relations', 'is', 'also', 'reflected', 'in', 'the', 'model', 'as', 'the', 'connections', 'in', 'the', 'network', 'evolve', 'with', 'the', 'dynamics', 'of', 'the', 'voters', 'in', 'the', 'infinite', 'time', 'limit', 'an', 'exact', 'solution', 'predicts', 'the', 'emergence', 'of', 'consensus', 'for', 'arbitrary', 'initial', 'conditions', 'however', 'before', 'consensus', 'is', 'reached', 'two', 'different', 'metastable', 'states', 'can', 'persist', 'for', 'exponentially', 'long', 'times', 'one', 'state', 'reflects', 'a', 'perfect', 'balancing', 'of', 'opinions', 'the', 'other', 'reflects', 'a', 'completely', 'static', 'situation', 'an', 'estimate', 'of', 'the', 'associated', 'lifetimes', 'suggests', 'that', 'lack', 'of', 'consensus', 'is', 'typical', 'for', 'large', 'systems']] | [-0.20552861530171787, 0.14825535251533753, -0.09280569745916063, 0.08844803728262259, -0.0088622585080726, -0.15140201382683185, 0.07074912847222194, 0.3628624095864918, -0.27434003534524337, -0.2688588242329981, 0.10393374533109043, -0.24247565029755883, -0.11704581853700802, 0.10354184166163855, -0.03850091229719312, 0.017292121405024893, 0.06113635009438123, 0.09940021078142783, -0.017528234711726723, -0.25552353108220777, 0.32387320353933, 0.009097576007732878, 0.2836563701862874, 0.01001630095637191, 0.11543845295318929, 0.004427068893109327, 0.037157332366737336, 0.030293236606065994, -0.08487991023556907, 0.040996746307380656, 0.2267877512651941, 0.1408692318095785, 0.32762792456652157, -0.45268010438784306, -0.18911529719910544, 0.13045499824473392, 0.15102333374341706, 0.16968228873675284, 0.012254345776391742, -0.2930874040188349, 0.05551842840226448, -0.19029948327528393, -0.15200575129685762, -0.0199856240545278, 0.04876412401056808, 0.02423658247368977, -0.26158833423143496, 0.09480084230713344, 0.07790169592455799, 0.04206118999392619, -0.11313322454124042, -0.03917163782854281, -0.01830157156750236, 0.17617977274905727, 0.02826851743308868, -0.02031235554377022, 0.11138858652228247, -0.17627920975665684, -0.1518919094627642, 0.3894612994611911, -0.0362715426761576, -0.16975331873526675, 0.19237536728058172, -0.08854286085976207, -0.12823710874856814, 0.11652168315916282, 0.16512064921426708, 0.11026827435657058, -0.14506514357483904, 0.038750775206996046, -0.06997843928149212, 0.19838250272947808, -0.001994866683431294, 0.03204468200793085, 0.22197170510240224, 0.22152980625143517, 0.11806019495200852, 0.1257697928377994, 0.0021837221554723446, -0.2158814521263475, -0.24395486845270448, -0.12062843350146937, -0.19040365360029365, 0.07147219363883461, -0.11965063649189213, -0.17617570559453705, 0.40184814759894555, 0.13344982239701178, 0.2223184891369032, 0.08341845847139864, 0.22910237598394895, 0.11918560888355031, 0.004174771107247342, 0.08664141222227202, 0.22772398919838927, 0.09348376866065614, 0.0909963362445326, -0.21732806588685058, 0.17974456095177194, 0.01630112387077964] |
709.4043 | Scaling and dynamics of sphere and disk impact into granular media | Direct measurements of the acceleration of spheres and disks impacting
granular media reveal simple power law scalings along with complex dynamics
which bear the signatures of both fluid and solid behavior. The penetration
depth scales linearly with impact velocity while the collision duration is
constant for sufficiently large impact velocity. Both quantities exhibit power
law dependence on sphere diameter and density, and gravitational acceleration.
The acceleration during impact is characterized by two jumps: a rapid, velocity
dependent increase upon initial contact and a similarly sharp, depth dependent
decrease as the impacting object comes to rest. Examining the measured forces
on the sphere in the vicinity of these features leads to a new experimentally
based granular force model for collision. We discuss our findings in the
context of recently proposed phenomenological models that capture qualitative
dynamical features of impact but fail both quantitatively and in their
inability to capture significant acceleration fluctuations that occur during
penetration and which depend on the impacted material.
| cond-mat.soft cond-mat.mtrl-sci | direct measurements of the acceleration of spheres and disks impacting granular media reveal simple power law scalings along with complex dynamics which bear the signatures of both fluid and solid behavior the penetration depth scales linearly with impact velocity while the collision duration is constant for sufficiently large impact velocity both quantities exhibit power law dependence on sphere diameter and density and gravitational acceleration the acceleration during impact is characterized by two jumps a rapid velocity dependent increase upon initial contact and a similarly sharp depth dependent decrease as the impacting object comes to rest examining the measured forces on the sphere in the vicinity of these features leads to a new experimentally based granular force model for collision we discuss our findings in the context of recently proposed phenomenological models that capture qualitative dynamical features of impact but fail both quantitatively and in their inability to capture significant acceleration fluctuations that occur during penetration and which depend on the impacted material | [['direct', 'measurements', 'of', 'the', 'acceleration', 'of', 'spheres', 'and', 'disks', 'impacting', 'granular', 'media', 'reveal', 'simple', 'power', 'law', 'scalings', 'along', 'with', 'complex', 'dynamics', 'which', 'bear', 'the', 'signatures', 'of', 'both', 'fluid', 'and', 'solid', 'behavior', 'the', 'penetration', 'depth', 'scales', 'linearly', 'with', 'impact', 'velocity', 'while', 'the', 'collision', 'duration', 'is', 'constant', 'for', 'sufficiently', 'large', 'impact', 'velocity', 'both', 'quantities', 'exhibit', 'power', 'law', 'dependence', 'on', 'sphere', 'diameter', 'and', 'density', 'and', 'gravitational', 'acceleration', 'the', 'acceleration', 'during', 'impact', 'is', 'characterized', 'by', 'two', 'jumps', 'a', 'rapid', 'velocity', 'dependent', 'increase', 'upon', 'initial', 'contact', 'and', 'a', 'similarly', 'sharp', 'depth', 'dependent', 'decrease', 'as', 'the', 'impacting', 'object', 'comes', 'to', 'rest', 'examining', 'the', 'measured', 'forces', 'on', 'the', 'sphere', 'in', 'the', 'vicinity', 'of', 'these', 'features', 'leads', 'to', 'a', 'new', 'experimentally', 'based', 'granular', 'force', 'model', 'for', 'collision', 'we', 'discuss', 'our', 'findings', 'in', 'the', 'context', 'of', 'recently', 'proposed', 'phenomenological', 'models', 'that', 'capture', 'qualitative', 'dynamical', 'features', 'of', 'impact', 'but', 'fail', 'both', 'quantitatively', 'and', 'in', 'their', 'inability', 'to', 'capture', 'significant', 'acceleration', 'fluctuations', 'that', 'occur', 'during', 'penetration', 'and', 'which', 'depend', 'on', 'the', 'impacted', 'material']] | [-0.11561319036524237, 0.182194645901751, -0.1204199785148196, 0.02745825738321277, -0.07759666194230962, -0.11553361312627079, 0.0030235455243526324, 0.35962681182556683, -0.26747828917462885, -0.33721327001838314, 0.054001549630351135, -0.29153533570215473, -0.10622418867452875, 0.21964581846403258, -0.013166362839394513, 0.05071622278774157, 0.0389121295194383, 0.0014559162053406054, -0.048042335421749516, -0.19066137019457707, 0.30805875503538566, 0.11199427799632151, 0.3050727985805062, 0.11890893321725782, 0.11184255697155072, -0.022252062272372437, -0.040700175026201726, 0.09403558084626257, -0.15490830203643668, 0.05856195089614226, 0.1433407831286056, 0.039065308667673375, 0.2180821634139176, -0.46759791212317386, -0.27488761608500356, 0.06383781531181784, 0.12174113884131298, 0.04519698417308614, -0.057207003207072435, -0.2504192433136021, 0.007258648656446625, -0.16449471203794266, -0.14246776624349877, -0.05573849831449075, 0.08521209634771501, 0.09514468198463918, -0.21438442209712516, 0.12775828215339577, 0.0574000542313306, 0.06957006964323766, -0.10409254263252894, -0.04648647572770485, -0.014748211899760789, 0.12400571394777846, 0.09274825349343757, -0.012533034690236098, 0.22974184446933646, -0.15839837680938712, -0.032046265739165705, 0.38953158513493374, -0.07528323342054967, -0.16126889375003953, 0.22459645460239025, -0.18543888288147656, -0.07886833454091331, 0.17356037117977752, 0.22687203048823262, 0.059078663031812785, -0.0613931474638068, 0.003341677156348862, 0.030514904003975524, 0.18159727004563642, 0.07844158566131453, 0.031011916248610726, 0.23668309762200088, 0.1656995615167371, 0.009248444191065191, 0.0918649378150736, -0.13519610024063078, -0.13794502519634494, -0.2763584038288689, -0.11222884035381822, -0.1571444467207371, 0.004989025283627856, -0.12252325298583328, -0.15483752945811707, 0.3491962102851198, 0.15217075785794468, 0.2640664557406081, 0.04558624912277554, 0.2905713127017665, 0.09578514995662794, 0.05612035909736598, 0.07987653971707195, 0.29235879195290676, 0.09882038418508285, 0.13265140594218938, -0.26999628789188274, 0.1483561398524699, 0.007993529739007814] |
709.4044 | NLO QCD corrections to the production of t-tbar-Z in gluon fusion | We compute the O(alpha_s) QCD corrections to the partonic process gg ->
t-tbar-Z at the LHC. This partonic channel is the dominant component of the
scattering process pp -> t-tbar-Z, which will be important for measuring the
t-tbar-Z electroweak couplings. The O(alpha_s) corrections increase the total
cross section by up to 75% for reasonable choices of the renormalization and
factorization scales. Inclusion of these contributions descreases the residual
scale dependence of the cross section coming from uncalculated higher order
terms to +-5%.
| hep-ph hep-ex | we compute the oalpha_s qcd corrections to the partonic process gg ttbarz at the lhc this partonic channel is the dominant component of the scattering process pp ttbarz which will be important for measuring the ttbarz electroweak couplings the oalpha_s corrections increase the total cross section by up to 75 for reasonable choices of the renormalization and factorization scales inclusion of these contributions descreases the residual scale dependence of the cross section coming from uncalculated higher order terms to 5 | [['we', 'compute', 'the', 'oalpha_s', 'qcd', 'corrections', 'to', 'the', 'partonic', 'process', 'gg', 'ttbarz', 'at', 'the', 'lhc', 'this', 'partonic', 'channel', 'is', 'the', 'dominant', 'component', 'of', 'the', 'scattering', 'process', 'pp', 'ttbarz', 'which', 'will', 'be', 'important', 'for', 'measuring', 'the', 'ttbarz', 'electroweak', 'couplings', 'the', 'oalpha_s', 'corrections', 'increase', 'the', 'total', 'cross', 'section', 'by', 'up', 'to', '75', 'for', 'reasonable', 'choices', 'of', 'the', 'renormalization', 'and', 'factorization', 'scales', 'inclusion', 'of', 'these', 'contributions', 'descreases', 'the', 'residual', 'scale', 'dependence', 'of', 'the', 'cross', 'section', 'coming', 'from', 'uncalculated', 'higher', 'order', 'terms', 'to', '5']] | [-0.06882354523691855, 0.2019747122090687, -0.10351474131044897, 0.13544895958113579, -0.02103639580898836, -0.02384622769630691, -0.01251016738765602, 0.2764154220253371, -0.2601839817258753, -0.2644056790284341, 0.010576560810396943, -0.36537961532137814, 0.01934963897978769, 0.0938216274533468, 0.11335117618930585, 0.09633609392574127, 0.058933652365650936, -0.02585280835156954, -0.06819907654831305, -0.2753718368376788, 0.3514063486334267, 0.11717914351957696, 0.19782205267891853, 0.23798001699055296, 0.07712180518156177, 0.054072959248353786, -0.08921949265972723, -0.07639301537618606, -0.13533567967294138, 0.0912349590430437, 0.2655593481716476, -0.02430786119326006, 0.08656789820134357, -0.33062647393892836, -0.0831475965560803, 0.0949685680679977, 0.15182952292829374, 0.11249656004896033, 0.07146151861783023, -0.23366971945838083, 0.13147285328352754, -0.2728013775983377, -0.09371461911286122, -0.07888408262824899, 0.021586581946739666, -0.10856574766715116, -0.3297225567747992, 0.0696306869010382, -0.01159567064075153, -0.022836111191235766, 0.0488810337891307, -0.19406511344581465, -0.02996704730947938, 0.08368253845815794, 0.107049942929504, 0.06916237683212266, 0.21442769530901237, -0.2288967304114441, -0.14611357213528472, 0.41834999510098864, -0.054665469442187704, -0.13099562086730818, 0.08235443098827183, -0.1909821422923875, -0.12985155099554907, 0.22739825091218646, 0.24983530074263674, 0.06905821756838491, -0.1542483474587715, 0.14518777176051081, 0.09444103062247174, 0.15547081771530682, 0.09463193637755098, 0.06294375013919618, 0.09954259908298337, 0.13535445604968485, 0.0022622128665635856, 0.05079547283858579, -0.11658751076865423, -0.09720321495934756, -0.49071046799609935, -0.07980481829329193, -0.02451291468135918, 0.08356690181926175, -0.1556921957141375, -0.0833353743640871, 0.33774637112606176, 0.1588717711370297, 0.26934719602931056, 0.047613157341079904, 0.33483592702570975, 0.18501512512352458, 0.1178564366507285, 0.039802307248280586, 0.3042118525887026, 0.16499723561544302, 0.09875699475148245, -0.2804990836295382, 0.05879288826939426, 0.06871305778622627] |
709.4045 | Chaotic Dynamics of Spin-Valve Oscillators | Recent experimental and theoretical studies on the magnetization dynamics
driven by an electric current have uncovered a number of unprecedented rich
dynamic phenomena. We predict an intrinsic chaotic dynamics that has not been
previously anticipated. We explicitly show that the transition to chaotic
dynamics occurs through a series of period doubling bifurcations. In chaotic
regime, two dramatically different power spectra, one with a well-defined peak
and the other with a broadly distributed noise, are identified and explained.
| cond-mat.other | recent experimental and theoretical studies on the magnetization dynamics driven by an electric current have uncovered a number of unprecedented rich dynamic phenomena we predict an intrinsic chaotic dynamics that has not been previously anticipated we explicitly show that the transition to chaotic dynamics occurs through a series of period doubling bifurcations in chaotic regime two dramatically different power spectra one with a welldefined peak and the other with a broadly distributed noise are identified and explained | [['recent', 'experimental', 'and', 'theoretical', 'studies', 'on', 'the', 'magnetization', 'dynamics', 'driven', 'by', 'an', 'electric', 'current', 'have', 'uncovered', 'a', 'number', 'of', 'unprecedented', 'rich', 'dynamic', 'phenomena', 'we', 'predict', 'an', 'intrinsic', 'chaotic', 'dynamics', 'that', 'has', 'not', 'been', 'previously', 'anticipated', 'we', 'explicitly', 'show', 'that', 'the', 'transition', 'to', 'chaotic', 'dynamics', 'occurs', 'through', 'a', 'series', 'of', 'period', 'doubling', 'bifurcations', 'in', 'chaotic', 'regime', 'two', 'dramatically', 'different', 'power', 'spectra', 'one', 'with', 'a', 'welldefined', 'peak', 'and', 'the', 'other', 'with', 'a', 'broadly', 'distributed', 'noise', 'are', 'identified', 'and', 'explained']] | [-0.18508428632124485, 0.18372410141171996, -0.1062572408806194, 0.05891587264085939, -0.03500632783881836, -0.12826118372719397, 0.02989151551351919, 0.37338561054270764, -0.2860432281703144, -0.30188000673887794, 0.08540717945827243, -0.27133543174804564, -0.19930748074230822, 0.2479456416391707, -0.026349048704731388, 0.046448753945236156, 0.02255204774729617, 0.00925343558676057, -0.011216822195217593, -0.19109206604952741, 0.25540479609074507, 0.03613006564873186, 0.28481792142106727, -0.003572484768636815, 0.06776837446400291, -0.08567447377846564, 0.0042395308268310915, 0.07159662941567503, -0.1326871644775459, 0.044340127896118374, 0.1918158775630903, 0.046742469813166695, 0.2488131955773993, -0.45283151432484775, -0.27877656548804086, 0.08839121169120363, 0.17752390218801894, 0.10538500032157867, -0.09309758536983281, -0.2801975929117822, 0.03440480473656933, -0.162868169087965, -0.13330372332825097, -0.12049204947777672, 0.05070662373289853, 0.047938152506657235, -0.22227300230002442, 0.07722414824385922, 0.06281534120343722, 0.11339411637201519, -0.0364662679154184, -0.05116965350930809, -0.054548242159623214, 0.11604613201789461, 0.04611758775283377, 0.0020786318141821918, 0.12582214710048653, -0.09334222578395207, -0.16953393928298435, 0.30604807347930096, -0.0882883369922638, -0.11891860831770804, 0.23013066505263377, -0.21935180841352453, -0.15841501153545914, 0.1825840426367018, 0.13509770937554247, 0.0731133697917322, -0.14253353735117555, 0.022975525296408103, -0.01051905881855395, 0.18000712161339433, 0.006919968867214856, 0.04622782246125015, 0.2517966896948683, 0.21190977034872616, -0.004025229674691407, 0.11305475188797194, -0.08035150604237887, -0.16951483374388962, -0.19895831945461112, -0.03160162018793454, -0.15842180407618162, 0.06157655481497799, -0.040002534528264425, -0.14598562480131913, 0.44914613301297285, 0.14017232788073553, 0.2683419736960975, -0.0250533167945596, 0.27903433366037617, 0.15452966352852135, 0.03523986444860703, 0.03455894707109441, 0.29718931472872373, 0.08573118109534217, 0.13964801429250798, -0.24466499830475197, 0.07204836507950753, -0.033819431922846026] |
709.4046 | Equivalence Theorems in Numerical Analysis : Integration,
Differentiation and Interpolation | We show that if a numerical method is posed as a sequence of operators acting
on data and depending on a parameter, typically a measure of the size of
discretization, then consistency, convergence and stability can be related by a
Lax-Richtmyer type equivalence theorem -- a consistent method is convergent if
and only if it is stable. We define consistency as convergence on a dense
subspace and stability as discrete well-posedness. In some applications
convergence is harder to prove than consistency or stability since convergence
requires knowledge of the solution. An equivalence theorem can be useful in
such settings. We give concrete instances of equivalence theorems for
polynomial interpolation, numerical differentiation, numerical integration
using quadrature rules and Monte Carlo integration.
| math.NA | we show that if a numerical method is posed as a sequence of operators acting on data and depending on a parameter typically a measure of the size of discretization then consistency convergence and stability can be related by a laxrichtmyer type equivalence theorem a consistent method is convergent if and only if it is stable we define consistency as convergence on a dense subspace and stability as discrete wellposedness in some applications convergence is harder to prove than consistency or stability since convergence requires knowledge of the solution an equivalence theorem can be useful in such settings we give concrete instances of equivalence theorems for polynomial interpolation numerical differentiation numerical integration using quadrature rules and monte carlo integration | [['we', 'show', 'that', 'if', 'a', 'numerical', 'method', 'is', 'posed', 'as', 'a', 'sequence', 'of', 'operators', 'acting', 'on', 'data', 'and', 'depending', 'on', 'a', 'parameter', 'typically', 'a', 'measure', 'of', 'the', 'size', 'of', 'discretization', 'then', 'consistency', 'convergence', 'and', 'stability', 'can', 'be', 'related', 'by', 'a', 'laxrichtmyer', 'type', 'equivalence', 'theorem', 'a', 'consistent', 'method', 'is', 'convergent', 'if', 'and', 'only', 'if', 'it', 'is', 'stable', 'we', 'define', 'consistency', 'as', 'convergence', 'on', 'a', 'dense', 'subspace', 'and', 'stability', 'as', 'discrete', 'wellposedness', 'in', 'some', 'applications', 'convergence', 'is', 'harder', 'to', 'prove', 'than', 'consistency', 'or', 'stability', 'since', 'convergence', 'requires', 'knowledge', 'of', 'the', 'solution', 'an', 'equivalence', 'theorem', 'can', 'be', 'useful', 'in', 'such', 'settings', 'we', 'give', 'concrete', 'instances', 'of', 'equivalence', 'theorems', 'for', 'polynomial', 'interpolation', 'numerical', 'differentiation', 'numerical', 'integration', 'using', 'quadrature', 'rules', 'and', 'monte', 'carlo', 'integration']] | [-0.08654713585284077, 0.04865963596905906, -0.13245301199059525, 0.11023196192974803, -0.08098273758166039, -0.12301272275552404, 0.06371890971052632, 0.3778826503881386, -0.3001279129231928, -0.24557083159951226, 0.21939153986701257, -0.22728298620140852, -0.11921589292327583, 0.23757571978846706, -0.09720167933626711, 0.06758761247952602, 0.12536765718558693, 0.015260366613374036, -0.11607352991103187, -0.2435152152662768, 0.3119542529520837, 0.005383834062817217, 0.25174493826299654, 0.05531849561967425, 0.12270723007513727, -0.021508755866719895, 6.149487350793446e-05, 0.053842836544856804, -0.12117260016586305, 0.08409291397224516, 0.22546502423253567, 0.15876273964453458, 0.32764704636212033, -0.3723220594164704, -0.1510655548102653, 0.1405624890026926, 0.17367065758561762, 0.049974670250187904, -0.06862473080596034, -0.2688357271430153, 0.1312819268092701, -0.13698851797209285, -0.1338616214152582, -0.19494437158279934, 0.00028573152679605644, 0.08142308556639097, -0.3532756152836716, 0.08836343895816126, 0.08122201609237417, 0.07470284683332473, -0.0704795375247212, -0.02546259282673357, -0.010070597983802818, 0.06692207797367845, 0.03478550852937702, -0.005121763427780957, 0.059741469784913695, -0.054412492456994636, -0.1274654985671597, 0.36582085667099773, -0.05406691954814058, -0.28527895121702124, 0.18867647583682498, -0.0625715823804944, -0.1626046347517927, 0.09268165477003683, 0.1335236066795823, 0.18067802370957808, -0.08576147648028466, 0.1311310750227852, -0.051480622257755584, 0.18499805063729277, 0.10130367267626424, 0.0160773778921228, 0.08567703962267353, 0.1808336624922622, 0.1618079679994648, 0.12938394171123183, -0.0008115836608951457, -0.12095670510052133, -0.35241600669169126, -0.16734167903333025, -0.1947108856676256, 0.0783667151675317, -0.1505343381685015, -0.179903211909495, 0.3316169816750188, 0.16639149264909892, 0.1513522861981784, 0.1102158433029882, 0.3013864507753903, 0.15199442514504047, 0.016051336925304614, 0.06373774310370453, 0.1886188834330885, 0.1795294155804988, 0.03016227373790716, -0.15624781180282726, 0.0856826060129713, 0.1897488772055181] |
709.4047 | Herbig-Haro flows in B335 | We have observed optical (Halpha and [SII]) and near-IR (S(1) line of H2)
deep fields and taken optical spectra using the 2.56m NOT, as well as a near-UV
deep field (U band) using the 3.58m NTT. In addition we present new SPITZER
(IRAC and MIPS) mid-IR observations. We use previous Halpha and S(1)
observations taken 15 and 9 years earlier to make proper motion maps. We then
investigate the shock physics by matching our spectra with planar shock models.
We discover six new HH objects in B335. From proper motions we find an
optically bright, roughly E-W oriented group with high space velocities
(200-280 km/s) and a near-IR bright, slower group (15-75 km/s) moving to the
ESE. We also find a system of at least 15 H2 knots in the western lobe. This
(WNW) counterflow suggests the possibility of a binary outflow source, giving
rise to two outflow axes with slightly different orientations. We find that the
E-W flow is symmetrical with evidence for two outbursts. We make the first
detection of [OI] 6300/63 in HH119 B and Hbeta in HH119 A and B and find their
extinctions to be AV~1.4 and 4.4, respectively. HH119 A is found to expand much
faster than expected from linear expansion with distance from the outflow
source. Using planar shock models we find shock velocities of ~60 km/s (A) and
~35 km/s (B and C). This agrees with A being of higher excitation than B and C.
In our U image we detect three of the HH objects and propose that the emission
arise from the [OII] 3728 line and the blue continuum. New SPITZER observations
show most of the HH objects at 4.5 micron and a E-W elongated hour-glass shaped
structure at the outflow source. Even at 24 micron it is not clear whether most
of the light is direct or reflected.
| astro-ph | we have observed optical halpha and sii and nearir s1 line of h2 deep fields and taken optical spectra using the 256m not as well as a nearuv deep field u band using the 358m ntt in addition we present new spitzer irac and mips midir observations we use previous halpha and s1 observations taken 15 and 9 years earlier to make proper motion maps we then investigate the shock physics by matching our spectra with planar shock models we discover six new hh objects in b335 from proper motions we find an optically bright roughly ew oriented group with high space velocities 200280 kms and a nearir bright slower group 1575 kms moving to the ese we also find a system of at least 15 h2 knots in the western lobe this wnw counterflow suggests the possibility of a binary outflow source giving rise to two outflow axes with slightly different orientations we find that the ew flow is symmetrical with evidence for two outbursts we make the first detection of oi 630063 in hh119 b and hbeta in hh119 a and b and find their extinctions to be av14 and 44 respectively hh119 a is found to expand much faster than expected from linear expansion with distance from the outflow source using planar shock models we find shock velocities of 60 kms a and 35 kms b and c this agrees with a being of higher excitation than b and c in our u image we detect three of the hh objects and propose that the emission arise from the oii 3728 line and the blue continuum new spitzer observations show most of the hh objects at 45 micron and a ew elongated hourglass shaped structure at the outflow source even at 24 micron it is not clear whether most of the light is direct or reflected | [['we', 'have', 'observed', 'optical', 'halpha', 'and', 'sii', 'and', 'nearir', 's1', 'line', 'of', 'h2', 'deep', 'fields', 'and', 'taken', 'optical', 'spectra', 'using', 'the', '256m', 'not', 'as', 'well', 'as', 'a', 'nearuv', 'deep', 'field', 'u', 'band', 'using', 'the', '358m', 'ntt', 'in', 'addition', 'we', 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709.4048 | A Symphony Conducted by Brunet | We introduce BruNet, a general P2P software framework which we use to produce
the first implementation of Symphony, a 1-D Kleinberg small-world architecture.
Our framework is designed to easily implement and measure different P2P
protocols over different transport layers such as TCP or UDP. This paper
discusses our implementation of the Symphony network, which allows each node to
keep $k \le \log N$ shortcut connections and to route to any other node with a
short average delay of $O(\frac{1}{k}\log^2 N)$. %This provides a continuous
trade-off between node degree and routing latency. We present experimental
results taken from several PlanetLab deployments of size up to 1060 nodes.
These succes sful deployments represent some of the largest PlanetLab
deployments of P2P overlays found in the literature, and show our
implementation's robustness to massive node dynamics in a WAN environment.
| cs.DC cs.NI | we introduce brunet a general p2p software framework which we use to produce the first implementation of symphony a 1d kleinberg smallworld architecture our framework is designed to easily implement and measure different p2p protocols over different transport layers such as tcp or udp this paper discusses our implementation of the symphony network which allows each node to keep k le log n shortcut connections and to route to any other node with a short average delay of ofrac1klog2 n this provides a continuous tradeoff between node degree and routing latency we present experimental results taken from several planetlab deployments of size up to 1060 nodes these succes sful deployments represent some of the largest planetlab deployments of p2p overlays found in the literature and show our implementations robustness to massive node dynamics in a wan environment | [['we', 'introduce', 'brunet', 'a', 'general', 'p2p', 'software', 'framework', 'which', 'we', 'use', 'to', 'produce', 'the', 'first', 'implementation', 'of', 'symphony', 'a', '1d', 'kleinberg', 'smallworld', 'architecture', 'our', 'framework', 'is', 'designed', 'to', 'easily', 'implement', 'and', 'measure', 'different', 'p2p', 'protocols', 'over', 'different', 'transport', 'layers', 'such', 'as', 'tcp', 'or', 'udp', 'this', 'paper', 'discusses', 'our', 'implementation', 'of', 'the', 'symphony', 'network', 'which', 'allows', 'each', 'node', 'to', 'keep', 'k', 'le', 'log', 'n', 'shortcut', 'connections', 'and', 'to', 'route', 'to', 'any', 'other', 'node', 'with', 'a', 'short', 'average', 'delay', 'of', 'ofrac1klog2', 'n', 'this', 'provides', 'a', 'continuous', 'tradeoff', 'between', 'node', 'degree', 'and', 'routing', 'latency', 'we', 'present', 'experimental', 'results', 'taken', 'from', 'several', 'planetlab', 'deployments', 'of', 'size', 'up', 'to', '1060', 'nodes', 'these', 'succes', 'sful', 'deployments', 'represent', 'some', 'of', 'the', 'largest', 'planetlab', 'deployments', 'of', 'p2p', 'overlays', 'found', 'in', 'the', 'literature', 'and', 'show', 'our', 'implementations', 'robustness', 'to', 'massive', 'node', 'dynamics', 'in', 'a', 'wan', 'environment']] | [-0.2217604529854186, 0.014353987564229303, -0.04272205148547612, -0.0005407162062409851, -0.057848410770573, -0.21489340607421817, 0.12762754339362598, 0.4245176679144303, -0.26048264272373034, -0.3251898110464767, 0.02828832663492196, -0.2530741545562503, -0.1917775840929675, 0.15416488026406755, -0.07955514818636908, 0.07173386956705212, 0.07514917875329653, -0.001759305564552994, 0.001025104486486978, -0.296766751250942, 0.2643524069511504, 0.07007937022760787, 0.2972249240459253, 0.07969312903086474, 0.06706762368342391, -0.03253513665921572, -0.019396644399535878, -0.01605893066756565, -0.12032241024404626, 0.12075848651498004, 0.2887985517995225, 0.18527426025657742, 0.2855753429923896, -0.4169674223633828, -0.21754018751283485, 0.08982127046005593, 0.14972016547151185, 0.09427008859606253, -0.012016912901567088, -0.30547253265459506, 0.14148020302117975, -0.25707736203233555, -0.09170974283953438, -0.04960838400379375, -0.0074150658764496995, 0.0642789254999823, -0.25442106826575817, -0.043802412821807794, -0.012514119511642666, 0.009799535277178856, 0.02386233845199631, -0.08955214004877403, 0.008402325929125288, 0.15295303196094379, -0.02977703326312756, 0.028102627417279615, 0.12916172391183123, -0.04549421301387526, -0.1507242913564874, 0.36971638159895387, 0.007748231755707551, -0.15308779010342227, 0.2008948387466026, -0.013217885174823028, -0.17089420651189155, 0.056548017891192875, 0.24352021659551948, 0.06857306663360861, -0.16498773536058486, 0.016774130350461713, -0.035296665590808345, 0.1786029116285068, 0.0557767181519281, 0.05879788156469456, 0.09401513685092881, 0.23041061991480766, 0.10962740490213037, 0.12364499051149727, -0.07664760670072779, -0.12342131216665385, -0.2316163122067573, -0.15553106701484434, -0.161143142381614, 0.04109676244013288, -0.14727986614280208, -0.1362107916890333, 0.40301698993339585, 0.21646013255748484, 0.20234223931631143, 0.14641014077631687, 0.35465618750356415, -0.01489767511030314, 0.08280301875072635, 0.2111176324283911, 0.10698186774259537, 0.04509785649263197, 0.16692550669648443, -0.1591185919440317, 0.08318081625771744, 0.0030224303272983954] |
709.4049 | Nonthermal Bremsstrahlung vs. Synchrotron Radiation: Cas A | We performed a spectral analysis of some Chandra ACIS and RXTE PCA data for
the supernova remnant Cas A. A very large (1.1 Ms) ACIS data set is used to
identify regions dominated by synchrotron radiation. The best-fit spectral
models for these regions are combined to obtain a composite synchrotron model
for the entire remnant. The difference between this model and the observed PCA
flux is fitted with a nonthermal bremsstrahlung model. The results of this
analysis suggest that (1) the ratio of the nonthermal bremsstrahlung to
synchrotron radiation varies from about 2:1 to 4:1 in the 10-32 keV energy
band, (2) the electron spectrum is significantly steeper at 10-32 keV than it
is at 1 GeV, (3) about 5% of the electrons are nonthermal and (4) about 30% of
the energy in the electron distribution is in nonthermal electrons.
| astro-ph | we performed a spectral analysis of some chandra acis and rxte pca data for the supernova remnant cas a a very large 11 ms acis data set is used to identify regions dominated by synchrotron radiation the bestfit spectral models for these regions are combined to obtain a composite synchrotron model for the entire remnant the difference between this model and the observed pca flux is fitted with a nonthermal bremsstrahlung model the results of this analysis suggest that 1 the ratio of the nonthermal bremsstrahlung to synchrotron radiation varies from about 21 to 41 in the 1032 kev energy band 2 the electron spectrum is significantly steeper at 1032 kev than it is at 1 gev 3 about 5 of the electrons are nonthermal and 4 about 30 of the energy in the electron distribution is in nonthermal electrons | [['we', 'performed', 'a', 'spectral', 'analysis', 'of', 'some', 'chandra', 'acis', 'and', 'rxte', 'pca', 'data', 'for', 'the', 'supernova', 'remnant', 'cas', 'a', 'a', 'very', 'large', '11', 'ms', 'acis', 'data', 'set', 'is', 'used', 'to', 'identify', 'regions', 'dominated', 'by', 'synchrotron', 'radiation', 'the', 'bestfit', 'spectral', 'models', 'for', 'these', 'regions', 'are', 'combined', 'to', 'obtain', 'a', 'composite', 'synchrotron', 'model', 'for', 'the', 'entire', 'remnant', 'the', 'difference', 'between', 'this', 'model', 'and', 'the', 'observed', 'pca', 'flux', 'is', 'fitted', 'with', 'a', 'nonthermal', 'bremsstrahlung', 'model', 'the', 'results', 'of', 'this', 'analysis', 'suggest', 'that', '1', 'the', 'ratio', 'of', 'the', 'nonthermal', 'bremsstrahlung', 'to', 'synchrotron', 'radiation', 'varies', 'from', 'about', '21', 'to', '41', 'in', 'the', '1032', 'kev', 'energy', 'band', '2', 'the', 'electron', 'spectrum', 'is', 'significantly', 'steeper', 'at', '1032', 'kev', 'than', 'it', 'is', 'at', '1', 'gev', '3', 'about', '5', 'of', 'the', 'electrons', 'are', 'nonthermal', 'and', '4', 'about', '30', 'of', 'the', 'energy', 'in', 'the', 'electron', 'distribution', 'is', 'in', 'nonthermal', 'electrons']] | [-0.009323008484872324, 0.13771804126445203, -0.07221743099092107, 0.16488555313137893, -0.02690640557723652, -0.09794116857395108, 0.03330973642878234, 0.418078290099012, -0.20252609902859797, -0.3923811743568097, 0.05579742807312869, -0.3620571033363896, 0.073081089902137, 0.23179357136666243, 0.02926651121649359, -0.05226107028179935, 0.04314878035469779, -0.057215282294367044, -0.03568334458229531, -0.1636881380341947, 0.26612406595709864, 0.1297672986984253, 0.20843227258467648, 0.052358042478694446, 0.05843825495103374, -0.04663960641940191, -0.05556804621592164, -0.06234633542065109, -0.06914365716869984, 0.0704636082086446, 0.20460814990887488, 0.11462613710484999, 0.18736169063486158, -0.34420949818699487, -0.25460972396789916, 0.08732388385105878, 0.15802675470975894, -0.030799584352644162, 0.024412341355179834, -0.22364950296469033, 0.07531254379136954, -0.21243023366135147, -0.14784253691323102, 0.05369724755707596, -0.0018603990519685404, -0.033344525591071164, -0.24660446857368307, 0.13920054972238308, -0.0037812725740617938, 0.038515218666621616, -0.170721143580574, -0.12442009204532951, -0.007671258796472102, 0.001746783937726702, 0.08391589646260919, 0.054449967953509516, 0.1672707720834296, -0.09423192301099854, -0.08510480333518769, 0.3738047276224409, -0.049142982463672526, -0.004784987447783351, 0.1731973063982358, -0.2036504032456183, -0.16669315724034928, 0.28451490665652923, 0.10152653475025934, 0.06060658670862072, -0.13729231797291763, 0.03751322435356477, -0.028184755929812257, 0.2615964860256229, 0.03516157285443374, -0.01348190969620191, 0.23381202545549187, 0.1379747724027506, -0.0035125286917069127, 0.12763201134179586, -0.2585501835748021, 0.019229589677083173, -0.28250496892474725, -0.06883249191367732, -0.15674209512154838, 0.1184507032107961, -0.14041650001194544, -0.1007330377652709, 0.41302595042756624, 0.11313590711049204, 0.19073126049978392, 0.0012425316348006683, 0.3124261791052829, 0.12967030526997406, 0.026729320666553185, 0.14999649437876153, 0.2884265428718728, 0.143219242838677, 0.15263581936846354, -0.2123534675637659, -0.03751219030403133, -0.049882249154948766] |
709.405 | Extended Gutzwiller Approximation for Inhomogeneous System | The generalization of the Gutzwiller approximation to inhomogeneous systems
is considered, with extra spin-and-site-dependent fugacity factors included. It
is found that the inclusion of fugacity factors reconciles the seemingly
contradictory choices of Gutzwiller factors used in the literature. Moreover,
from the derivation of the Gutzwiller factors, it is shown that the Gutzwiller
approximation breaks the rotational symmetry of the trial wavefunctions, and
that different components of the spin-spin interaction need to be renormalized
differently under the approximation. Various schemes to restore the rotational
symmetry are discussed and are compared with results from variational
Monte-Carlo calculations for the two-dimensional square-lattice
antiferromagnet. Results along different paths within the full parameter space,
which corresponds to different choices of fugacity factors in the literature,
are also compared.
| cond-mat.str-el | the generalization of the gutzwiller approximation to inhomogeneous systems is considered with extra spinandsitedependent fugacity factors included it is found that the inclusion of fugacity factors reconciles the seemingly contradictory choices of gutzwiller factors used in the literature moreover from the derivation of the gutzwiller factors it is shown that the gutzwiller approximation breaks the rotational symmetry of the trial wavefunctions and that different components of the spinspin interaction need to be renormalized differently under the approximation various schemes to restore the rotational symmetry are discussed and are compared with results from variational montecarlo calculations for the twodimensional squarelattice antiferromagnet results along different paths within the full parameter space which corresponds to different choices of fugacity factors in the literature are also compared | [['the', 'generalization', 'of', 'the', 'gutzwiller', 'approximation', 'to', 'inhomogeneous', 'systems', 'is', 'considered', 'with', 'extra', 'spinandsitedependent', 'fugacity', 'factors', 'included', 'it', 'is', 'found', 'that', 'the', 'inclusion', 'of', 'fugacity', 'factors', 'reconciles', 'the', 'seemingly', 'contradictory', 'choices', 'of', 'gutzwiller', 'factors', 'used', 'in', 'the', 'literature', 'moreover', 'from', 'the', 'derivation', 'of', 'the', 'gutzwiller', 'factors', 'it', 'is', 'shown', 'that', 'the', 'gutzwiller', 'approximation', 'breaks', 'the', 'rotational', 'symmetry', 'of', 'the', 'trial', 'wavefunctions', 'and', 'that', 'different', 'components', 'of', 'the', 'spinspin', 'interaction', 'need', 'to', 'be', 'renormalized', 'differently', 'under', 'the', 'approximation', 'various', 'schemes', 'to', 'restore', 'the', 'rotational', 'symmetry', 'are', 'discussed', 'and', 'are', 'compared', 'with', 'results', 'from', 'variational', 'montecarlo', 'calculations', 'for', 'the', 'twodimensional', 'squarelattice', 'antiferromagnet', 'results', 'along', 'different', 'paths', 'within', 'the', 'full', 'parameter', 'space', 'which', 'corresponds', 'to', 'different', 'choices', 'of', 'fugacity', 'factors', 'in', 'the', 'literature', 'are', 'also', 'compared']] | [-0.09252854515168601, 0.16138355492721082, -0.07211179951144779, 0.09739534121644149, -0.04429992606298479, -0.09244718843093905, 0.047203040306769375, 0.3920376287834322, -0.2179976457645964, -0.2616832820759689, 0.024666950608542584, -0.28434469422600306, -0.1241263035676713, 0.14185511188573952, 0.049240451403435505, 0.03442850809011868, 0.01182375475382585, -0.015053740420119196, -0.17355727161028894, -0.2539657856047642, 0.32734526349829185, 0.034546276125064515, 0.3048655129320248, 0.05052777766545884, 0.04588271371760696, -0.013576790194225604, 0.015278934466759445, 0.04396467069216401, -0.14836418515611124, 0.06831210801667977, 0.22593936757766642, 0.03465804169775124, 0.22417017054118094, -0.4074044454934411, -0.20862137122446153, 0.013747263231723126, 0.14689415664656363, 0.16340935582840876, 0.03171633667175154, -0.2894363231178312, 0.0029764978260901132, -0.1921771852963711, -0.17735614706991149, -0.1409629391368906, -0.035667183198279044, 0.019044900900821705, -0.2819218587313519, 0.10820243863143661, 0.008681303531420036, 0.015502856527209438, -0.09473401993955867, -0.1859215264605572, -0.018348337729369887, 0.11806077970817808, 0.13971577554399178, 0.07038512359159525, 0.10706008983524058, -0.12005446465365345, -0.101577172824945, 0.440661260405876, -0.01695649264777293, -0.2363118177650069, 0.169064286610562, -0.1302752406450874, -0.12992527727877384, 0.14167131060642785, 0.07003892900910778, 0.05308905120587862, -0.14804421482439778, 0.094741573132628, -0.03244603198540748, 0.12021180411770208, 0.035238079396534526, 0.024273029036178697, 0.10062658653182328, 0.08890193940586884, 0.02229908291677721, 0.1270373952221965, -0.04799853335898064, -0.19141583835522905, -0.30275475520823825, -0.11085157702318163, -0.188606546645923, 0.012376477001005875, -0.13770944696491333, -0.16151680983674568, 0.384759704296126, 0.17217254303930113, 0.17641222385162886, 0.00960565030051884, 0.25285163988954706, 0.14780267894451246, 0.10693362079652362, 0.041735570994682884, 0.24062116591156782, 0.15406791195292485, 0.0033520660668489386, -0.26825395264742957, 0.05533629715763277, 0.08530414080796916] |
709.4051 | Boring split links | Boring is an operation which converts a knot or two-component link in a
3--manifold into another knot or two-component link. It generalizes rational
tangle replacement and can be described as a type of 2--handle attachment.
Sutured manifold theory is used to study the existence of essential spheres and
planar surfaces in the exteriors of knots and links obtained by boring a split
link. It is shown, for example, that if the boring operation is complicated
enough, a split link or unknot cannot be obtained by boring a split link.
Particular attention is paid to rational tangle replacement. If a knot is
obtained by rational tangle replacement on a split link, and a few minor
conditions are satisfied, the number of boundary components of a meridional
planar surface is bounded below by a number depending on the distance of the
rational tangle replacement. This result is used to give new proofs of two
results of Eudave-Mu\~noz and Scharlemann's band sum theorem.
| math.GT | boring is an operation which converts a knot or twocomponent link in a 3manifold into another knot or twocomponent link it generalizes rational tangle replacement and can be described as a type of 2handle attachment sutured manifold theory is used to study the existence of essential spheres and planar surfaces in the exteriors of knots and links obtained by boring a split link it is shown for example that if the boring operation is complicated enough a split link or unknot cannot be obtained by boring a split link particular attention is paid to rational tangle replacement if a knot is obtained by rational tangle replacement on a split link and a few minor conditions are satisfied the number of boundary components of a meridional planar surface is bounded below by a number depending on the distance of the rational tangle replacement this result is used to give new proofs of two results of eudavemunoz and scharlemanns band sum theorem | [['boring', 'is', 'an', 'operation', 'which', 'converts', 'a', 'knot', 'or', 'twocomponent', 'link', 'in', 'a', '3manifold', 'into', 'another', 'knot', 'or', 'twocomponent', 'link', 'it', 'generalizes', 'rational', 'tangle', 'replacement', 'and', 'can', 'be', 'described', 'as', 'a', 'type', 'of', '2handle', 'attachment', 'sutured', 'manifold', 'theory', 'is', 'used', 'to', 'study', 'the', 'existence', 'of', 'essential', 'spheres', 'and', 'planar', 'surfaces', 'in', 'the', 'exteriors', 'of', 'knots', 'and', 'links', 'obtained', 'by', 'boring', 'a', 'split', 'link', 'it', 'is', 'shown', 'for', 'example', 'that', 'if', 'the', 'boring', 'operation', 'is', 'complicated', 'enough', 'a', 'split', 'link', 'or', 'unknot', 'can', 'not', 'be', 'obtained', 'by', 'boring', 'a', 'split', 'link', 'particular', 'attention', 'is', 'paid', 'to', 'rational', 'tangle', 'replacement', 'if', 'a', 'knot', 'is', 'obtained', 'by', 'rational', 'tangle', 'replacement', 'on', 'a', 'split', 'link', 'and', 'a', 'few', 'minor', 'conditions', 'are', 'satisfied', 'the', 'number', 'of', 'boundary', 'components', 'of', 'a', 'meridional', 'planar', 'surface', 'is', 'bounded', 'below', 'by', 'a', 'number', 'depending', 'on', 'the', 'distance', 'of', 'the', 'rational', 'tangle', 'replacement', 'this', 'result', 'is', 'used', 'to', 'give', 'new', 'proofs', 'of', 'two', 'results', 'of', 'eudavemunoz', 'and', 'scharlemanns', 'band', 'sum', 'theorem']] | [-0.2155578220382431, 0.1205797210569466, -0.10439984920985639, 0.0805348799996344, -0.128853864740777, -0.2242947486287087, 0.04834199466190145, 0.3483320697447898, -0.27534971317068113, -0.28081283780821364, 0.09936660146543189, -0.2130759452406016, -0.1577011913145019, 0.20448126848815992, -0.12467545075978366, -0.051848656590449516, 0.10192013813633911, 0.06766919321409479, -0.03172454643294632, -0.2282910085983158, 0.34274533918772404, -0.01914059702214432, 0.20044796786022298, 0.10655420014681005, 0.08610385663153731, -0.0006465416181809414, -0.0160854145196145, 0.06708721943801234, -0.1540129660871057, 0.07945841475771682, 0.23668297014043013, 0.06760142126947827, 0.17370331627519234, -0.41513712066138936, -0.17498457731508435, 0.13144369866201502, 0.15003147686004453, 0.015814593590373717, -0.01539294790008007, -0.22872276169751188, 0.08579444840495469, -0.18117769118629812, -0.15588737246204423, -0.03378294006580059, 0.0011668623597158687, 0.011208573557286066, -0.2142092556033214, -0.026758826560462298, 0.11940545011427461, 0.062166385028673256, 0.029682125553477164, -0.061027940649030187, -0.06083923517090054, 0.14133306572312107, 0.01076090557396597, 0.09843934432499296, 0.10225161379318892, -0.14114726445440967, -0.10246642529733063, 0.38902766606915073, -0.04010621988162491, -0.2526229520253143, 0.17845162676259738, -0.06087124453039018, -0.11160461906262714, 0.1981765838869217, 0.050632997844021144, 0.09840142921261165, -0.08958995541823762, 0.047392659095777216, -0.10836422878031196, 0.128283354222358, 0.14471885411253904, -0.07198949037871746, 0.21153747420526625, 0.11643060582678372, 0.10745965553875485, 0.1817654523252284, -0.03737149878567004, -0.06825895987809723, -0.29026974647404247, -0.2126005453907925, -0.19944180182314344, 0.1047716664660307, -0.04423787860119909, -0.16631166573367312, 0.36485637073052224, -0.02888935237764294, 0.19686027733617759, 0.06626685883528813, 0.30078824836274853, 0.09924763755117953, 0.08286637251167009, 0.046154915031207645, 0.1519619407123591, 0.18236080424640305, 0.01415641063257404, -0.11553838795849256, 0.05048751525048699, 0.18844891258004565] |
709.4052 | Confocal microscopy of colloidal particles: towards reliable, optimum
coordinates | Over the last decade, the light microscope has become increasingly useful as
a quantitative tool for studying colloidal systems. The ability to obtain
particle coordinates in bulk samples from micrographs is particularly
appealing. In this paper we review and extend methods for optimal image
formation of colloidal samples, which is vital for particle coordinates of the
highest accuracy, and for extracting the most reliable coordinates from these
images. We discuss in depth the accuracy of the coordinates, which is sensitive
to the details of the colloidal system and the imaging system. Moreover, this
accuracy can vary between particles, particularly in dense systems. We
introduce a previously unreported error estimate and use it to develop an
iterative method for finding particle coordinates. This individual-particle
accuracy assessment also allows comparison between particle locations obtained
from different experiments. Though aimed primarily at confocal microscopy
studies of colloidal systems, the methods outlined here should transfer readily
to many other feature extraction problems, especially where features may
overlap one another.
| cond-mat.soft | over the last decade the light microscope has become increasingly useful as a quantitative tool for studying colloidal systems the ability to obtain particle coordinates in bulk samples from micrographs is particularly appealing in this paper we review and extend methods for optimal image formation of colloidal samples which is vital for particle coordinates of the highest accuracy and for extracting the most reliable coordinates from these images we discuss in depth the accuracy of the coordinates which is sensitive to the details of the colloidal system and the imaging system moreover this accuracy can vary between particles particularly in dense systems we introduce a previously unreported error estimate and use it to develop an iterative method for finding particle coordinates this individualparticle accuracy assessment also allows comparison between particle locations obtained from different experiments though aimed primarily at confocal microscopy studies of colloidal systems the methods outlined here should transfer readily to many other feature extraction problems especially where features may overlap one another | [['over', 'the', 'last', 'decade', 'the', 'light', 'microscope', 'has', 'become', 'increasingly', 'useful', 'as', 'a', 'quantitative', 'tool', 'for', 'studying', 'colloidal', 'systems', 'the', 'ability', 'to', 'obtain', 'particle', 'coordinates', 'in', 'bulk', 'samples', 'from', 'micrographs', 'is', 'particularly', 'appealing', 'in', 'this', 'paper', 'we', 'review', 'and', 'extend', 'methods', 'for', 'optimal', 'image', 'formation', 'of', 'colloidal', 'samples', 'which', 'is', 'vital', 'for', 'particle', 'coordinates', 'of', 'the', 'highest', 'accuracy', 'and', 'for', 'extracting', 'the', 'most', 'reliable', 'coordinates', 'from', 'these', 'images', 'we', 'discuss', 'in', 'depth', 'the', 'accuracy', 'of', 'the', 'coordinates', 'which', 'is', 'sensitive', 'to', 'the', 'details', 'of', 'the', 'colloidal', 'system', 'and', 'the', 'imaging', 'system', 'moreover', 'this', 'accuracy', 'can', 'vary', 'between', 'particles', 'particularly', 'in', 'dense', 'systems', 'we', 'introduce', 'a', 'previously', 'unreported', 'error', 'estimate', 'and', 'use', 'it', 'to', 'develop', 'an', 'iterative', 'method', 'for', 'finding', 'particle', 'coordinates', 'this', 'individualparticle', 'accuracy', 'assessment', 'also', 'allows', 'comparison', 'between', 'particle', 'locations', 'obtained', 'from', 'different', 'experiments', 'though', 'aimed', 'primarily', 'at', 'confocal', 'microscopy', 'studies', 'of', 'colloidal', 'systems', 'the', 'methods', 'outlined', 'here', 'should', 'transfer', 'readily', 'to', 'many', 'other', 'feature', 'extraction', 'problems', 'especially', 'where', 'features', 'may', 'overlap', 'one', 'another']] | [-0.045612497440059525, 0.06811053750297463, -0.10581080093415397, 0.060563868368891154, -0.04763330240649256, -0.14666453715745417, -0.001257138123566454, 0.40397340867555503, -0.256062180179905, -0.3381899137953014, 0.09750790338624607, -0.2826190231806267, -0.14810946614509732, 0.23749907627193764, -0.05851319954928123, 0.08364625263634617, 0.08682496716607023, -0.00999247877378807, -0.07468860724925021, -0.21776322801879636, 0.27131224622046857, 0.10560741144599337, 0.29247477462966787, 0.03995032248186004, 0.11961556834761392, 0.042757101779253306, -0.03562125353791723, 0.027381958225459763, -0.14117854932379542, 0.16000317622145468, 0.29822851712392134, 0.09093572260021712, 0.2580917670899494, -0.4022776887328787, -0.22670965101852109, 0.09746651435553125, 0.21155502499949017, 0.1447586840300849, -0.07918146765917879, -0.2618216418520068, 0.050133698109085814, -0.104687908593791, -0.10645717342796905, -0.11720979503553473, 0.021193177623420278, 0.025322820720143545, -0.24593425802463156, 0.07293150709310518, 0.00929986892063453, 0.0852256555554711, -0.06384074578774303, -0.10000553607912452, 0.03557163270500799, 0.1733668521723964, 0.037248368427213845, 0.028631640907207673, 0.17311712991672032, -0.1551647383366909, -0.07940236551292015, 0.40945736038865466, -0.001016771370742583, -0.19586112520121263, 0.260877652999691, -0.1283642110386581, -0.1437905524349348, 0.13657457908671913, 0.19618320917202667, 0.15282549749438962, -0.1910101317095034, 0.006600328000036604, -0.0048306648675916775, 0.20296985131095757, 0.06650087516049319, 0.04084983503333095, 0.22075790803540837, 0.19578271148387683, 0.04553237274028079, 0.1294795659176695, -0.1419522039084272, -0.06142621511085467, -0.21698604770230526, -0.18993704152349947, -0.18503683324564588, -0.035458163989030504, -0.07389537397680353, -0.12764736431206322, 0.3689885439294757, 0.22079561465687936, 0.1909792984024424, -0.0033991173855170156, 0.3118187533522194, 0.04244266476968981, 0.05211488607367783, 0.00409144644879482, 0.24046317487108437, 0.08337315625200668, 0.12158893754522344, -0.17937736284396977, 0.05884338599121706, 0.04826727524173982] |
709.4053 | Electroweak quark-lepton symmetry and weak topological-charge
confinement in the Standard Model with Dirac neutrinos | The standard electroweak model with Dirac neutrinos is extended by way of the
principles of electroweak quark-lepton symmetry and weak topological-charge
confinement to account for quark-lepton charge relations which, if not
accidental, are indicative of charge structures. A mixing in quarks and leptons
of underlying integer local charges with integer weak topological charges
associated with an additive group Z_3, fixed by the anomaly cancellation
requirement, is discussed. It is found that the electroweak difference between
topological quarks and leptons is the nonequivalence between the topological
vacua of their weak field configurations, produced by a four-instanton which
carries the topological charge, induces the universal fractional piece of
charge distinguishing quarks from leptons, and breaks the underlying symmetry.
The constituent quarks of the standard model appear as coming from topological
quarks, via the weak four-instanton event. Dual transitions occur for leptons.
It is shown that several other fundamental problems left open in the standard
electroweak model with Dirac neutrinos are solved: the one-to-one
correspondence between quark and lepton flavors, the existence of three
generations, the conservation and ungauging of B-L, the electric charge
quantization, and the confinement of fractional electric charges.
| hep-ph hep-th | the standard electroweak model with dirac neutrinos is extended by way of the principles of electroweak quarklepton symmetry and weak topologicalcharge confinement to account for quarklepton charge relations which if not accidental are indicative of charge structures a mixing in quarks and leptons of underlying integer local charges with integer weak topological charges associated with an additive group z_3 fixed by the anomaly cancellation requirement is discussed it is found that the electroweak difference between topological quarks and leptons is the nonequivalence between the topological vacua of their weak field configurations produced by a fourinstanton which carries the topological charge induces the universal fractional piece of charge distinguishing quarks from leptons and breaks the underlying symmetry the constituent quarks of the standard model appear as coming from topological quarks via the weak fourinstanton event dual transitions occur for leptons it is shown that several other fundamental problems left open in the standard electroweak model with dirac neutrinos are solved the onetoone correspondence between quark and lepton flavors the existence of three generations the conservation and ungauging of bl the electric charge quantization and the confinement of fractional electric charges | [['the', 'standard', 'electroweak', 'model', 'with', 'dirac', 'neutrinos', 'is', 'extended', 'by', 'way', 'of', 'the', 'principles', 'of', 'electroweak', 'quarklepton', 'symmetry', 'and', 'weak', 'topologicalcharge', 'confinement', 'to', 'account', 'for', 'quarklepton', 'charge', 'relations', 'which', 'if', 'not', 'accidental', 'are', 'indicative', 'of', 'charge', 'structures', 'a', 'mixing', 'in', 'quarks', 'and', 'leptons', 'of', 'underlying', 'integer', 'local', 'charges', 'with', 'integer', 'weak', 'topological', 'charges', 'associated', 'with', 'an', 'additive', 'group', 'z_3', 'fixed', 'by', 'the', 'anomaly', 'cancellation', 'requirement', 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709.4054 | The process gg -> h_0 -> gamma gamma in the Lee-Wick Standard Model | The process gg -> h_0 -> gamma gamma is studied in the Lee-Wick extension of
the Standard Model (LWSM) proposed by Grinstein, O'Connell and Wise. In this
model negative norm partners for each SM field are introduced with the aim to
cancel quadratic divergences in the Higgs mass. All sectors of the model
relevant to gg -> h_0 -> gamma gamma are diagonalized and results are commented
on from the perspective of both the Lee-Wick and higher derivative formalisms.
Deviations from the SM rate for gg -> h_0 are found to be of the order of 15% -
5% for Lee-Wick masses in the range 500GeV - 1000GeV. Effects on the rate for
h_0-> gamma gamma are smaller, of the order of 5% - 1% for Lee-Wick masses in
the same range. These comparatively small changes may well provide a means of
distinguishing the LWSM from other models such as universal extra dimensions
where same-spin partners to Standard Model fields also appear. Corrections to
determinations of CKM elements |V_{t(b,s,d)}| are also considered and are shown
to be positive, allowing the possibility of measuring a CKM element larger than
unity, a characteristic signature of the ghost-like nature of the Lee-Wick
fields.
| hep-ph | the process gg h_0 gamma gamma is studied in the leewick extension of the standard model lwsm proposed by grinstein oconnell and wise in this model negative norm partners for each sm field are introduced with the aim to cancel quadratic divergences in the higgs mass all sectors of the model relevant to gg h_0 gamma gamma are diagonalized and results are commented on from the perspective of both the leewick and higher derivative formalisms deviations from the sm rate for gg h_0 are found to be of the order of 15 5 for leewick masses in the range 500gev 1000gev effects on the rate for h_0 gamma gamma are smaller of the order of 5 1 for leewick masses in the same range these comparatively small changes may well provide a means of distinguishing the lwsm from other models such as universal extra dimensions where samespin partners to standard model fields also appear corrections to determinations of ckm elements v_tbsd are also considered and are shown to be positive allowing the possibility of measuring a ckm element larger than unity a characteristic signature of the ghostlike nature of the leewick fields | [['the', 'process', 'gg', 'h_0', 'gamma', 'gamma', 'is', 'studied', 'in', 'the', 'leewick', 'extension', 'of', 'the', 'standard', 'model', 'lwsm', 'proposed', 'by', 'grinstein', 'oconnell', 'and', 'wise', 'in', 'this', 'model', 'negative', 'norm', 'partners', 'for', 'each', 'sm', 'field', 'are', 'introduced', 'with', 'the', 'aim', 'to', 'cancel', 'quadratic', 'divergences', 'in', 'the', 'higgs', 'mass', 'all', 'sectors', 'of', 'the', 'model', 'relevant', 'to', 'gg', 'h_0', 'gamma', 'gamma', 'are', 'diagonalized', 'and', 'results', 'are', 'commented', 'on', 'from', 'the', 'perspective', 'of', 'both', 'the', 'leewick', 'and', 'higher', 'derivative', 'formalisms', 'deviations', 'from', 'the', 'sm', 'rate', 'for', 'gg', 'h_0', 'are', 'found', 'to', 'be', 'of', 'the', 'order', 'of', '15', '5', 'for', 'leewick', 'masses', 'in', 'the', 'range', '500gev', '1000gev', 'effects', 'on', 'the', 'rate', 'for', 'h_0', 'gamma', 'gamma', 'are', 'smaller', 'of', 'the', 'order', 'of', '5', '1', 'for', 'leewick', 'masses', 'in', 'the', 'same', 'range', 'these', 'comparatively', 'small', 'changes', 'may', 'well', 'provide', 'a', 'means', 'of', 'distinguishing', 'the', 'lwsm', 'from', 'other', 'models', 'such', 'as', 'universal', 'extra', 'dimensions', 'where', 'samespin', 'partners', 'to', 'standard', 'model', 'fields', 'also', 'appear', 'corrections', 'to', 'determinations', 'of', 'ckm', 'elements', 'v_tbsd', 'are', 'also', 'considered', 'and', 'are', 'shown', 'to', 'be', 'positive', 'allowing', 'the', 'possibility', 'of', 'measuring', 'a', 'ckm', 'element', 'larger', 'than', 'unity', 'a', 'characteristic', 'signature', 'of', 'the', 'ghostlike', 'nature', 'of', 'the', 'leewick', 'fields']] | [-0.07251490597355335, 0.22438920157381298, -0.029066596071251682, 0.12392141594567237, -0.07060865009525372, -0.16512037758808096, 0.01482136453336095, 0.3148691754066507, -0.2289755192624298, -0.30568917733202666, 0.047010568585563746, -0.30618921080262873, -0.04907485541122044, 0.18719475935042607, 0.0046402533740994975, 0.03488170560778494, -0.004071288912786239, 0.06599619964772167, -0.06505371416865297, -0.2506449573192714, 0.3007332966589803, 0.04088182704546367, 0.17533748529129783, 0.0468977354442535, 0.017888169287074922, -0.02798422458654767, -0.05646801728228624, -0.04607546620597546, -0.13415017282954145, 0.0846111971701886, 0.17679324737075044, 0.053585834854376305, 0.17901689788577738, -0.31005709096106715, -0.2020838346511506, 0.1572817872663599, 0.11949017410366479, 0.06972580860705353, -0.008166516968902415, -0.2819736190896033, 0.09786298616084695, -0.1972259886791998, -0.12340929465617068, -0.041433819067415764, 0.01206864401056914, -0.062040417065054025, -0.3317561524524216, 0.10202512019088356, 0.009607814668667995, 0.03221415892652972, -0.018792810306472323, -0.208559156263842, -0.03861469950853647, 0.07721206319825577, 0.131197315967899, 0.025961496803241522, 0.12300586632418772, -0.15203767988577252, -0.12080521884993577, 0.4271377849280444, -0.11208201092535311, -0.17671460092082347, 0.16408814585167933, -0.182399901983216, -0.11926006138460657, 0.11522570132150939, 0.1542958292649347, 0.0803072392606513, -0.13850036061811383, 0.17354375705322866, 0.027155979752238275, 0.14088546566565213, 0.07702803225817247, 0.0330625671298482, 0.19737621983123152, 0.08240451200509259, 0.019179500688198972, 0.022581767272850235, -0.06607677752191093, -0.07142970168046381, -0.387310022995344, -0.13246861268785728, -0.11522283943196886, 0.04608489135804425, -0.12075997290661052, -0.10298462430943481, 0.3807586362848731, 0.14195979873013453, 0.20805845061482872, 0.04717971105372328, 0.24057495350832442, 0.11645614684142504, 0.11185643174417356, 0.03494058049610616, 0.302325831526276, 0.1651099662294036, 0.05429463119719041, -0.19413820072321017, -3.991881903524252e-05, 0.06565962829358915] |
709.4055 | Next-to-Next-to-Leading Electroweak Logarithms in W-pair Production at
ILC | We derive the high energy asymptotic behavior of gauge boson production cross
section in a spontaneously broken SU(2) gauge theory in the
next-to-next-to-leading logarithmic approximation. On the basis of this result
we obtain the logarithmically enhanced two-loop electroweak corrections to the
differential cross section of W-pair production at ILC/CLIC up to the second
power of the large logarithm.
| hep-ph | we derive the high energy asymptotic behavior of gauge boson production cross section in a spontaneously broken su2 gauge theory in the nexttonexttoleading logarithmic approximation on the basis of this result we obtain the logarithmically enhanced twoloop electroweak corrections to the differential cross section of wpair production at ilcclic up to the second power of the large logarithm | [['we', 'derive', 'the', 'high', 'energy', 'asymptotic', 'behavior', 'of', 'gauge', 'boson', 'production', 'cross', 'section', 'in', 'a', 'spontaneously', 'broken', 'su2', 'gauge', 'theory', 'in', 'the', 'nexttonexttoleading', 'logarithmic', 'approximation', 'on', 'the', 'basis', 'of', 'this', 'result', 'we', 'obtain', 'the', 'logarithmically', 'enhanced', 'twoloop', 'electroweak', 'corrections', 'to', 'the', 'differential', 'cross', 'section', 'of', 'wpair', 'production', 'at', 'ilcclic', 'up', 'to', 'the', 'second', 'power', 'of', 'the', 'large', 'logarithm']] | [-0.1300090304254715, 0.17550143983279323, -0.09984835021294139, 0.14499308366994856, -0.017520684202940298, -0.06921555197813772, 0.03640313204909787, 0.24699735488935276, -0.21046330125857915, -0.2669892216679351, -0.01356130638079525, -0.34725285433875075, -0.024967440179195898, 0.07829704759080477, 0.05260582539606197, 0.13236343157317104, -0.018933792253313906, 0.07019296002670608, -0.06163682904222916, -0.30840223231192293, 0.3012990360710256, 0.07259404957936756, 0.25507599418854404, 0.1901407496650414, 0.11188001458428735, 0.04255142945651736, -0.03986167768618606, -0.11849108717307963, -0.14843984242079072, 0.11709560281275933, 0.2249567409142338, -0.04637225989477131, 0.12340634817193294, -0.3611402647762463, -0.03802254633849551, 0.08482748194565547, 0.15370814588145706, 0.14781437887296336, -0.03102010144282068, -0.2567937453839414, 0.09607481705988276, -0.28235293976191816, -0.18793209973353378, -0.09590961261861154, -0.05527111142873764, -0.0857044320015622, -0.29907256152866213, 0.08746496109484599, -0.0526211726125972, 0.03503924825806813, 0.024949239984411616, -0.07624232480784171, -0.08744932571426034, 0.02028672572161103, 0.16927469247181354, 0.03998485562423694, 0.16542234421097513, -0.23825855884331695, -0.15086249283771833, 0.386480874863678, -0.15607916835117444, -0.1434528959015834, 0.057467527141601873, -0.253896514178607, -0.19704446274433926, 0.21228284401626424, 0.2786147394056978, 0.13463181586422282, -0.13914589259516577, 0.21317567006716953, 0.06187347666328323, 0.15082206671800594, 0.10181609401479363, 0.03756608504095468, 0.10334143875937524, 0.14312188326509606, 0.02031142029365332, 0.10304044415082397, -0.0351545615081579, -0.14402690927241127, -0.5192229571623792, -0.14074146586614822, -0.0457367417884284, 0.11178441454881224, -0.1360887795473963, -0.1527348808815767, 0.3331873462663899, 0.08697540344317155, 0.28017308233819643, 0.11106035169535156, 0.32637408825344055, 0.2422230344683189, 0.10119939469411199, 0.020055759918940222, 0.3200229921795685, 0.19857239369343133, 0.09815253878558247, -0.263357896201718, -0.04959187354764034, 0.16286677118904633] |
709.4056 | Detection of low energy single ion impacts in micron scale transistors
at room temperature | We report the detection of single ion impacts through monitoring of changes
in the source-drain currents of field effect transistors (FET) at room
temperature. Implant apertures are formed in the interlayer dielectrics and
gate electrodes of planar, micro-scale FETs by electron beam assisted etching.
FET currents increase due to the generation of positively charged defects in
gate oxides when ions (121Sb12+, 14+, Xe6+; 50 to 70 keV) impinge into channel
regions. Implant damage is repaired by rapid thermal annealing, enabling
iterative cycles of device doping and electrical characterization for
development of single atom devices and studies of dopant fluctuation effects.
| cond-mat.other cond-mat.mes-hall | we report the detection of single ion impacts through monitoring of changes in the sourcedrain currents of field effect transistors fet at room temperature implant apertures are formed in the interlayer dielectrics and gate electrodes of planar microscale fets by electron beam assisted etching fet currents increase due to the generation of positively charged defects in gate oxides when ions 121sb12 14 xe6 50 to 70 kev impinge into channel regions implant damage is repaired by rapid thermal annealing enabling iterative cycles of device doping and electrical characterization for development of single atom devices and studies of dopant fluctuation effects | [['we', 'report', 'the', 'detection', 'of', 'single', 'ion', 'impacts', 'through', 'monitoring', 'of', 'changes', 'in', 'the', 'sourcedrain', 'currents', 'of', 'field', 'effect', 'transistors', 'fet', 'at', 'room', 'temperature', 'implant', 'apertures', 'are', 'formed', 'in', 'the', 'interlayer', 'dielectrics', 'and', 'gate', 'electrodes', 'of', 'planar', 'microscale', 'fets', 'by', 'electron', 'beam', 'assisted', 'etching', 'fet', 'currents', 'increase', 'due', 'to', 'the', 'generation', 'of', 'positively', 'charged', 'defects', 'in', 'gate', 'oxides', 'when', 'ions', '121sb12', '14', 'xe6', '50', 'to', '70', 'kev', 'impinge', 'into', 'channel', 'regions', 'implant', 'damage', 'is', 'repaired', 'by', 'rapid', 'thermal', 'annealing', 'enabling', 'iterative', 'cycles', 'of', 'device', 'doping', 'and', 'electrical', 'characterization', 'for', 'development', 'of', 'single', 'atom', 'devices', 'and', 'studies', 'of', 'dopant', 'fluctuation', 'effects']] | [-0.1632597545900316, 0.2382744034949803, 0.03754967904997745, -0.07453583652562829, 0.07015422995924253, -0.26481435558937416, 0.13719407021011593, 0.4547494616773393, -0.2020368168854879, -0.34091726175010806, -0.0034282783486156, -0.33241989990376464, -0.058642433998598295, 0.21963323874756543, -0.036138756139523755, 0.034538123187505536, 0.02411080432133843, -0.16308029465885324, -0.037215838782639815, -0.20571679686374886, 0.18259440352105433, 0.13376158643796138, 0.3628385962560923, 0.1780650056428229, 0.06232026812498166, 0.023190675848963286, 0.09475491466376969, 0.01420234970635537, -0.08084474155923935, 0.028664934688269493, 0.28820941727044, -0.08142681366992136, 0.2146003559100056, -0.5586055012777297, -0.2324044895875785, -0.05434759455083898, 0.1126558581851317, 0.14608331163404414, -0.1311218952348531, -0.2475506163136375, 0.07521567625849686, -0.13263147994123323, -0.0644011237031505, 0.019253252425720218, 0.014989293094564492, 0.011459365952759981, -0.24017994355109304, 0.0606795027522803, 0.02514211039971372, 0.12297212229477185, -0.060569200318599484, -0.11241813407119627, -0.057479635155154155, 0.04155750150205521, -0.017055244222659655, 0.00658778240433847, 0.42849169584459185, -0.1309852386540216, -0.14086676405676912, 0.26769563788783296, -0.032401636181719075, -0.07520893435323178, 0.12066510710583041, -0.20265299934456407, 0.026125714046447868, 0.20943143637262923, 0.15120623161959829, 0.11426309890565321, -0.20597507341161037, 0.02451765775090234, 0.1388780330237227, 0.1826896286010463, 0.16988126479672513, 0.09286367560670984, 0.27499952135287753, 0.23676137856414747, 0.04369802185513004, 0.17430569719998848, -0.15958725870822113, 0.054000795461387946, -0.1838254274969751, -0.20961301966165805, -0.14127962958218174, 0.12188577740406147, -0.05570968377801961, -0.20192340895006752, 0.4157573978482473, 0.14915237554838184, 0.086096562937871, -0.09863239300032758, 0.3076991618356921, 0.0659091141394744, 0.13247297512546105, -0.031349871658033344, 0.2066183943451956, 0.20085013567968601, 0.14612828513532125, -0.2868615870382825, 0.10635191680054472, -0.04818774630889447] |
709.4057 | On the quantum dynamics of non-commutative systems | This is a review paper concerned with the global consistency of the quantum
dynamics of non-commutative systems. Our point of departure is the theory of
constrained systems, since it provides a unified description of the classical
and quantum dynamics for the models under investigation. We then elaborate on
recently reported results concerned with the sufficient conditions for the
existence of the Born series and unitarity and turn, afterwards, into analyzing
the functional quantization of non-commutative systems. The compatibility
between the operator and the functional approaches is established in full
generality. The intricacies arising in connection with the explicit computation
of path integrals, for the systems under scrutiny, is illustrated by presenting
the detailed calculation of the Feynman kernel for the non-commutative two
dimensional harmonic oscillator.
| hep-th | this is a review paper concerned with the global consistency of the quantum dynamics of noncommutative systems our point of departure is the theory of constrained systems since it provides a unified description of the classical and quantum dynamics for the models under investigation we then elaborate on recently reported results concerned with the sufficient conditions for the existence of the born series and unitarity and turn afterwards into analyzing the functional quantization of noncommutative systems the compatibility between the operator and the functional approaches is established in full generality the intricacies arising in connection with the explicit computation of path integrals for the systems under scrutiny is illustrated by presenting the detailed calculation of the feynman kernel for the noncommutative two dimensional harmonic oscillator | [['this', 'is', 'a', 'review', 'paper', 'concerned', 'with', 'the', 'global', 'consistency', 'of', 'the', 'quantum', 'dynamics', 'of', 'noncommutative', 'systems', 'our', 'point', 'of', 'departure', 'is', 'the', 'theory', 'of', 'constrained', 'systems', 'since', 'it', 'provides', 'a', 'unified', 'description', 'of', 'the', 'classical', 'and', 'quantum', 'dynamics', 'for', 'the', 'models', 'under', 'investigation', 'we', 'then', 'elaborate', 'on', 'recently', 'reported', 'results', 'concerned', 'with', 'the', 'sufficient', 'conditions', 'for', 'the', 'existence', 'of', 'the', 'born', 'series', 'and', 'unitarity', 'and', 'turn', 'afterwards', 'into', 'analyzing', 'the', 'functional', 'quantization', 'of', 'noncommutative', 'systems', 'the', 'compatibility', 'between', 'the', 'operator', 'and', 'the', 'functional', 'approaches', 'is', 'established', 'in', 'full', 'generality', 'the', 'intricacies', 'arising', 'in', 'connection', 'with', 'the', 'explicit', 'computation', 'of', 'path', 'integrals', 'for', 'the', 'systems', 'under', 'scrutiny', 'is', 'illustrated', 'by', 'presenting', 'the', 'detailed', 'calculation', 'of', 'the', 'feynman', 'kernel', 'for', 'the', 'noncommutative', 'two', 'dimensional', 'harmonic', 'oscillator']] | [-0.1412960836365819, 0.06065080089122057, -0.10284890779852868, 0.07580461208056659, -0.02923143352381885, -0.10078827369958163, 0.041028709700331095, 0.2950005133450031, -0.24494074495509266, -0.24455114655941726, 0.1126386212548241, -0.24526938079111277, -0.18869627743214368, 0.20324956115335227, -0.04316004790714942, 0.08614451501891017, 0.07917516183853149, 0.05388819750212133, -0.1252656262051314, -0.22346805725991725, 0.3790883165039122, 0.07784862061403691, 0.26991530054435137, 0.04937145101185888, 0.11993814608827233, 0.06825848178192973, -0.05868520578555763, 0.003954348169267177, -0.1526469337195158, 0.16712722730450333, 0.2061693087531312, 0.10030721740797162, 0.2574528422712465, -0.45027066269516947, -0.2171099945232272, 0.056398885056376455, 0.08214466992393137, 0.09665779896453022, -0.04285286965686828, -0.2892406932413578, 0.06285966323222965, -0.1420403260756284, -0.15455818741023541, -0.10447470413893462, -0.000994837038218975, -0.004244152240455151, -0.24583455304428936, 0.06920828035101295, 0.08273819327354431, 0.096034682020545, -0.0768159526400268, -0.06754842867702246, 0.022411927739158274, 0.10691488748043776, 0.04010381765291095, -0.024059013159945606, 0.06918989469483494, -0.13738888455071718, -0.1305056338934228, 0.39811795143038037, -0.013809901525266469, -0.20894623550027608, 0.19002835551649333, -0.1271380909155123, -0.16405702481791376, 0.06870084448903799, 0.09921044334582985, 0.10599640961736441, -0.17763820534199476, 0.1567624413948506, -0.012087482649832964, 0.09683384382282384, 0.02797570294086472, 0.048521545335650444, 0.17840775004943135, 0.16397848232835532, 0.046108672887086866, 0.15950864340923726, -0.008494281670544297, -0.21522166364267467, -0.36537697274796666, -0.17354019124805928, -0.1482956976108253, 0.05631466045975685, -0.06339868085784837, -0.1590564512833953, 0.4122195751965046, 0.13053144903760402, 0.16879394511133433, 0.06467450577393175, 0.2774264336228371, 0.1856585955754854, 0.02302229031827301, -0.0003561117425560951, 0.23555264668166637, 0.20178950266726314, 0.09845625516027212, -0.21170487036183477, 0.004722380990162492, 0.105064297799021] |
709.4058 | Locally toric manifolds and singular Bohr-Sommerfeld leaves | When geometric quantization is applied to a manifold using a real
polarization which is "nice enough", a result of Sniatycki says that the
quantization can be found by counting certain objects, called Bohr-Sommerfeld
leaves. Subsequently, several authors have taken this as motivation for
counting Bohr-Sommerfeld leaves when studying the quantization of manifolds
which are less "nice".
In this paper, we examine the quantization of compact symplectic manifolds
that can locally be modelled by a toric manifold, using a real polarization
modelled on fibres of the moment map. We compute the results directly, and
obtain a theorem similar to Sniatycki's, which gives the quantization in terms
of counting Bohr-Sommerfeld leaves. However, the count does not include the
Bohr-Sommerfeld leaves which are singular. Thus the quantization obtained is
different from the quantization obtained using a Kaehler polarization.
| math.SG | when geometric quantization is applied to a manifold using a real polarization which is nice enough a result of sniatycki says that the quantization can be found by counting certain objects called bohrsommerfeld leaves subsequently several authors have taken this as motivation for counting bohrsommerfeld leaves when studying the quantization of manifolds which are less nice in this paper we examine the quantization of compact symplectic manifolds that can locally be modelled by a toric manifold using a real polarization modelled on fibres of the moment map we compute the results directly and obtain a theorem similar to sniatyckis which gives the quantization in terms of counting bohrsommerfeld leaves however the count does not include the bohrsommerfeld leaves which are singular thus the quantization obtained is different from the quantization obtained using a kaehler polarization | [['when', 'geometric', 'quantization', 'is', 'applied', 'to', 'a', 'manifold', 'using', 'a', 'real', 'polarization', 'which', 'is', 'nice', 'enough', 'a', 'result', 'of', 'sniatycki', 'says', 'that', 'the', 'quantization', 'can', 'be', 'found', 'by', 'counting', 'certain', 'objects', 'called', 'bohrsommerfeld', 'leaves', 'subsequently', 'several', 'authors', 'have', 'taken', 'this', 'as', 'motivation', 'for', 'counting', 'bohrsommerfeld', 'leaves', 'when', 'studying', 'the', 'quantization', 'of', 'manifolds', 'which', 'are', 'less', 'nice', 'in', 'this', 'paper', 'we', 'examine', 'the', 'quantization', 'of', 'compact', 'symplectic', 'manifolds', 'that', 'can', 'locally', 'be', 'modelled', 'by', 'a', 'toric', 'manifold', 'using', 'a', 'real', 'polarization', 'modelled', 'on', 'fibres', 'of', 'the', 'moment', 'map', 'we', 'compute', 'the', 'results', 'directly', 'and', 'obtain', 'a', 'theorem', 'similar', 'to', 'sniatyckis', 'which', 'gives', 'the', 'quantization', 'in', 'terms', 'of', 'counting', 'bohrsommerfeld', 'leaves', 'however', 'the', 'count', 'does', 'not', 'include', 'the', 'bohrsommerfeld', 'leaves', 'which', 'are', 'singular', 'thus', 'the', 'quantization', 'obtained', 'is', 'different', 'from', 'the', 'quantization', 'obtained', 'using', 'a', 'kaehler', 'polarization']] | [-0.13873890724811536, 0.0902743160189477, -0.14086723018354222, 0.10117051556598701, -0.10419465652875491, -0.15265441032946667, 0.008182113722171773, 0.3184653093704759, -0.26075988585379584, -0.25256111167037665, 0.10890926451095616, -0.20377071693873228, -0.18028278045926188, 0.19749737750572055, -0.18768136585548298, 0.005632212941548718, 0.09480705570061204, 0.09138780597374956, -0.09560624636195378, -0.2668922358720716, 0.39364748435883795, 0.05728207149459466, 0.2550584469598704, 0.04614663536837602, 0.16120054127836128, 0.026365266959947436, -0.007760869763068744, 0.056797482677971696, -0.09448836647278591, 0.10607175386177181, 0.2410301751224324, 0.068458686412465, 0.15681429607654684, -0.37165905778477, -0.20002799204840854, 0.12340236590382879, 0.1437855781431296, 0.11394552881968444, -0.016374178957923858, -0.28941490819483107, 0.139730802389668, -0.09852637500856627, -0.12836143488773324, -0.14165492398914561, -0.032450231617497306, 0.0016694826320675549, -0.2116824627190189, -0.017931184418666275, 0.0900005830326743, 0.02582963756216106, -0.0692817051616956, -0.08736673741142696, -0.05668216585807169, 0.10670265945503418, -0.0002733191958308887, 0.06656328361106119, 0.11030607974615449, -0.04714877311828366, -0.113169272343364, 0.3982662040837554, -0.03799296008881682, -0.29296672916901645, 0.08976876731517154, -0.14900539893267759, -0.16225597011133916, 0.1417036916532401, 0.06576216208345409, 0.14970933181692414, -0.1205815447491347, 0.11652469207530966, -0.05746196691031957, 0.08152776636850478, 0.13963696205599316, -0.00020526335644188213, 0.19512275555657585, 0.08279558911453933, 0.07261256825825227, 0.14446550921133872, -0.08296703457408376, -0.10725827504873776, -0.33232165776443345, -0.1385820088699571, -0.21131495076558315, 0.19845209467937602, -0.0743152710482949, -0.18446292429154657, 0.37802958592716884, 0.036318999751637784, 0.2696714582922521, 0.09953453370418622, 0.29899654267772807, 0.1575866746273128, 0.07863106598048958, 0.0328254570155891, 0.2034224127419293, 0.1846258393801582, 0.037024704485770256, -0.13864085012734104, -0.019084470419546785, 0.09556388243365643] |
709.4059 | Random multiparty entanglement distillation | We describe various results related to the random distillation of multiparty
entangled states - that is, conversion of such states into entangled states
shared between fewer parties, where those parties are not predetermined. In
previous work [Phys. Rev. Lett. 98, 260501 (2007)] we showed that certain
output states (namely Einstein-Podolsky-Rosen (EPR) pairs) could be reliably
acquired from a prescribed initial multipartite state (namely the W state) via
random distillation that could not be reliably created between predetermined
parties. Here we provide a more rigorous definition of what constitutes
``advantageous'' random distillation. We show that random distillation is
always advantageous for W-class three-qubit states (but only sometimes for
Greenberger-Horne-Zeilinger (GHZ)-class states). We show that the general class
of multiparty states known as symmetric Dicke states can be readily converted
to many other states in the class via random distillation. Finally we show that
random distillation is provably not advantageous in the limit of multiple
copies of pure states.
| quant-ph | we describe various results related to the random distillation of multiparty entangled states that is conversion of such states into entangled states shared between fewer parties where those parties are not predetermined in previous work phys rev lett 98 260501 2007 we showed that certain output states namely einsteinpodolskyrosen epr pairs could be reliably acquired from a prescribed initial multipartite state namely the w state via random distillation that could not be reliably created between predetermined parties here we provide a more rigorous definition of what constitutes advantageous random distillation we show that random distillation is always advantageous for wclass threequbit states but only sometimes for greenbergerhornezeilinger ghzclass states we show that the general class of multiparty states known as symmetric dicke states can be readily converted to many other states in the class via random distillation finally we show that random distillation is provably not advantageous in the limit of multiple copies of pure states | [['we', 'describe', 'various', 'results', 'related', 'to', 'the', 'random', 'distillation', 'of', 'multiparty', 'entangled', 'states', 'that', 'is', 'conversion', 'of', 'such', 'states', 'into', 'entangled', 'states', 'shared', 'between', 'fewer', 'parties', 'where', 'those', 'parties', 'are', 'not', 'predetermined', 'in', 'previous', 'work', 'phys', 'rev', 'lett', '98', '260501', '2007', 'we', 'showed', 'that', 'certain', 'output', 'states', 'namely', 'einsteinpodolskyrosen', 'epr', 'pairs', 'could', 'be', 'reliably', 'acquired', 'from', 'a', 'prescribed', 'initial', 'multipartite', 'state', 'namely', 'the', 'w', 'state', 'via', 'random', 'distillation', 'that', 'could', 'not', 'be', 'reliably', 'created', 'between', 'predetermined', 'parties', 'here', 'we', 'provide', 'a', 'more', 'rigorous', 'definition', 'of', 'what', 'constitutes', 'advantageous', 'random', 'distillation', 'we', 'show', 'that', 'random', 'distillation', 'is', 'always', 'advantageous', 'for', 'wclass', 'threequbit', 'states', 'but', 'only', 'sometimes', 'for', 'greenbergerhornezeilinger', 'ghzclass', 'states', 'we', 'show', 'that', 'the', 'general', 'class', 'of', 'multiparty', 'states', 'known', 'as', 'symmetric', 'dicke', 'states', 'can', 'be', 'readily', 'converted', 'to', 'many', 'other', 'states', 'in', 'the', 'class', 'via', 'random', 'distillation', 'finally', 'we', 'show', 'that', 'random', 'distillation', 'is', 'provably', 'not', 'advantageous', 'in', 'the', 'limit', 'of', 'multiple', 'copies', 'of', 'pure', 'states']] | [-0.1029460713094581, 0.25658233830585114, -0.09234079514900523, 0.03673650886668193, 0.008336908433346018, -0.26374662992574516, 0.10923419125498303, 0.3853552138553031, -0.21880572894588113, -0.2680626764172508, 0.015458252981695677, -0.24259390567219066, -0.10167216325193763, 0.1558717636451606, -0.10315205124507268, 0.10561313281256345, 0.09893581704236568, 0.0038493241260444083, -0.03134993428003884, -0.2848680979782535, 0.31366733036214306, -0.03406627145746062, 0.3242748183799126, 0.02195286572940888, 0.05453166166140187, 0.03204476215365914, 0.06817026460663446, -0.016818363270572116, -0.04376867606366549, 0.06599544593388396, 0.31856867113721465, 0.21363391580300467, 0.2702735011856402, -0.41083880268758344, -0.2082276485830305, 0.18081361314417013, 0.10745725019895021, 0.2415887428748031, 0.0022842329599136006, -0.38005242537436706, 0.04007858994582127, -0.2358271263359535, -0.06352926955047634, -0.17642933891545381, 0.0034183440369463737, -0.05603876517965428, -0.29052155471046365, 0.10822291224293651, 0.07021516782021331, -0.027557714821981084, 0.038227916828867406, -0.09254291211179788, -0.049694032713981165, 0.10295176559368209, -0.11880482953312176, -0.015624554278028589, 0.10958027866999469, -0.0838593166546836, -0.20225304802579264, 0.29967834913141783, -0.02548537487652333, -0.21060468156731899, 0.20171941106297797, -0.122634392346616, -0.16508316150716235, 0.04147826219578424, 0.12757451720535756, 0.13220622093236495, -0.12874654135967215, -0.03576044607607107, -0.13448555125224013, 0.22052960343764075, 0.10800314990413044, 0.15189056860364225, 0.12784152797182963, 0.004531058092271128, 0.06908894245204847, 0.22823262574421543, -0.021936365291537273, -0.16638909174474859, -0.31193566662447164, -0.2174601545302017, -0.2825653441295388, 0.12684397262909766, -0.0038192211079501335, -0.08832443534366546, 0.3909605044511057, 0.12605362980055712, 0.18200572175724852, 0.019830667059267722, 0.2142810137702092, 0.042689679443625915, 0.029295259048681587, 0.1579079129132292, 0.24506097212734243, 0.1334611981265968, -0.0010390622240881765, -0.1604472303447584, 0.12601857998017824, -0.01276341545125169] |
709.406 | A Simple and Realistic Model of Supersymmetry Breaking | We present a simple and realistic model of supersymmetry breaking. In
addition to the minimal supersymmetric standard model, we only introduce a
hidden sector gauge group SU(5) and three fields X, F and \bar{F}.
Supersymmetry is broken at a local minimum of the potential, and its effects
are transmitted to the supersymmetric standard model sector through both
standard model gauge loops and local operators suppressed by the cutoff scale,
which is taken to be the unification scale. The form of the local operators is
controlled by a U(1) symmetry. The generated supersymmetry breaking and mu
parameters are comparable in size, and no flavor or CP violating terms arise.
The spectrum of the first two generation superparticles is that of minimal
gauge mediation with the number of messengers N_mess = 5 and the messenger
scale 10^11 GeV < M_mess < 10^13 GeV. The spectrum of the Higgs bosons and
third generation superparticles, however, can deviate from it. The lightest
supersymmetric particle is the gravitino with a mass of order (1-10) GeV.
| hep-ph hep-th | we present a simple and realistic model of supersymmetry breaking in addition to the minimal supersymmetric standard model we only introduce a hidden sector gauge group su5 and three fields x f and barf supersymmetry is broken at a local minimum of the potential and its effects are transmitted to the supersymmetric standard model sector through both standard model gauge loops and local operators suppressed by the cutoff scale which is taken to be the unification scale the form of the local operators is controlled by a u1 symmetry the generated supersymmetry breaking and mu parameters are comparable in size and no flavor or cp violating terms arise the spectrum of the first two generation superparticles is that of minimal gauge mediation with the number of messengers n_mess 5 and the messenger scale 1011 gev m_mess 1013 gev the spectrum of the higgs bosons and third generation superparticles however can deviate from it the lightest supersymmetric particle is the gravitino with a mass of order 110 gev | [['we', 'present', 'a', 'simple', 'and', 'realistic', 'model', 'of', 'supersymmetry', 'breaking', 'in', 'addition', 'to', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'we', 'only', 'introduce', 'a', 'hidden', 'sector', 'gauge', 'group', 'su5', 'and', 'three', 'fields', 'x', 'f', 'and', 'barf', 'supersymmetry', 'is', 'broken', 'at', 'a', 'local', 'minimum', 'of', 'the', 'potential', 'and', 'its', 'effects', 'are', 'transmitted', 'to', 'the', 'supersymmetric', 'standard', 'model', 'sector', 'through', 'both', 'standard', 'model', 'gauge', 'loops', 'and', 'local', 'operators', 'suppressed', 'by', 'the', 'cutoff', 'scale', 'which', 'is', 'taken', 'to', 'be', 'the', 'unification', 'scale', 'the', 'form', 'of', 'the', 'local', 'operators', 'is', 'controlled', 'by', 'a', 'u1', 'symmetry', 'the', 'generated', 'supersymmetry', 'breaking', 'and', 'mu', 'parameters', 'are', 'comparable', 'in', 'size', 'and', 'no', 'flavor', 'or', 'cp', 'violating', 'terms', 'arise', 'the', 'spectrum', 'of', 'the', 'first', 'two', 'generation', 'superparticles', 'is', 'that', 'of', 'minimal', 'gauge', 'mediation', 'with', 'the', 'number', 'of', 'messengers', 'n_mess', '5', 'and', 'the', 'messenger', 'scale', '1011', 'gev', 'm_mess', '1013', 'gev', 'the', 'spectrum', 'of', 'the', 'higgs', 'bosons', 'and', 'third', 'generation', 'superparticles', 'however', 'can', 'deviate', 'from', 'it', 'the', 'lightest', 'supersymmetric', 'particle', 'is', 'the', 'gravitino', 'with', 'a', 'mass', 'of', 'order', '110', 'gev']] | [-0.14158225993076004, 0.2904854048413774, 0.00783096607325666, 0.16565797207330027, -0.08235671379356589, -0.1575946285184585, 0.010218407474850944, 0.3212815242684839, -0.22091981132110827, -0.34646005637898863, 0.0924309792574944, -0.26605384370188667, -0.03590000312388258, 0.08367375765733578, 0.026937423293557333, 0.034721227137986234, -0.01181844412208905, 0.03428688978619245, -0.05315729835020176, -0.23135023962857806, 0.27553989638220966, 0.01723710120324584, 0.20780956603345427, 0.06116725841582001, 0.09525910111253587, -0.02658660826694041, 0.02109306790944503, -0.08941587136430015, -0.06254117828338857, 0.11996396629038794, 0.11480972554860075, 0.0553011996278831, 0.11683942469577473, -0.37427984628579525, -0.19400863522237324, 0.19969409006838518, 0.12794844166050295, 0.0776848511900809, -0.06112838875507958, -0.31441924220136175, 0.12287716305231204, -0.2026647388828492, -0.1026013308682995, -0.04134002451557688, -0.07148720972318516, -0.14459647312101134, -0.33343078922031516, 0.11856489780314088, -0.03948809341906222, 0.04510145858547325, 0.013976136789831096, -0.08292953113826126, -0.12863233550002864, 0.02211057860123734, 0.19014911003640841, 0.033609728974077, 0.18736198889259922, -0.19986880738119853, -0.14008386826973004, 0.4744257267609418, -0.09709951895953953, -0.1836115812731301, 0.17094380852025765, -0.13837549311890132, -0.16469960111257878, 0.12469652033388524, 0.14464123988333327, 0.10089844748439514, -0.149366922881342, 0.2416735499285874, -0.05896081078057009, 0.1963293958603999, 0.044126622698617626, 0.042452266719613045, 0.24193276694824314, 0.15551878400820207, 0.07974155978103314, 0.05207778420509681, -0.03889031982026905, -0.08441800564101123, -0.4512723236378417, -0.10491672899372068, -0.10689545132700881, 0.04968519716983639, -0.10974427023038187, -0.058880953794255494, 0.4504473807882091, 0.12965310620023388, 0.23226954584312906, 0.06853755832865767, 0.23625159367402815, 0.11045269097246409, 0.14357506156708283, 0.0159531067523836, 0.2657585141013365, 0.1049599173900963, 0.0737501270564116, -0.21749178395769278, -0.10838773203957601, 0.09800737023533108] |
709.4061 | Scaling Analysis and Application: Phase Diagram of Magnetic Nanorings
and Elliptical Nanoparticles | The magnetic properties of single-domain nanoparticles with different
geometric shapes, crystalline anisotropies and lattice structures are
investigated. A recently proposed scaling approach is shown to be universal and
in agreement with dimensional analysis coupled with an assumption of {\em
incomplete} self-similarity. It is used to obtain phase diagrams of magnetic
nanoparticles featuring three competing configurations: in-plane and
out-of-plane ferromagnetism and vortex formation. The influence of the vortex
core on the scaling behavior and phase diagram is analyzed. Three-dimensional
phase diagrams are obtained for cylindrical nanorings, depending on their
height, outer and inner radius. The triple points in these phase diagrams are
shown to be in linear relationship with the inner radius of the ring.
Elliptically shaped magnetic nanoparticles are also studied. A new
parametrization for double vortex configurations is proposed, and regions in
the phase diagram are identified where the double vortex is a stable ground
state.
| cond-mat.str-el cond-mat.other | the magnetic properties of singledomain nanoparticles with different geometric shapes crystalline anisotropies and lattice structures are investigated a recently proposed scaling approach is shown to be universal and in agreement with dimensional analysis coupled with an assumption of em incomplete selfsimilarity it is used to obtain phase diagrams of magnetic nanoparticles featuring three competing configurations inplane and outofplane ferromagnetism and vortex formation the influence of the vortex core on the scaling behavior and phase diagram is analyzed threedimensional phase diagrams are obtained for cylindrical nanorings depending on their height outer and inner radius the triple points in these phase diagrams are shown to be in linear relationship with the inner radius of the ring elliptically shaped magnetic nanoparticles are also studied a new parametrization for double vortex configurations is proposed and regions in the phase diagram are identified where the double vortex is a stable ground state | [['the', 'magnetic', 'properties', 'of', 'singledomain', 'nanoparticles', 'with', 'different', 'geometric', 'shapes', 'crystalline', 'anisotropies', 'and', 'lattice', 'structures', 'are', 'investigated', 'a', 'recently', 'proposed', 'scaling', 'approach', 'is', 'shown', 'to', 'be', 'universal', 'and', 'in', 'agreement', 'with', 'dimensional', 'analysis', 'coupled', 'with', 'an', 'assumption', 'of', 'em', 'incomplete', 'selfsimilarity', 'it', 'is', 'used', 'to', 'obtain', 'phase', 'diagrams', 'of', 'magnetic', 'nanoparticles', 'featuring', 'three', 'competing', 'configurations', 'inplane', 'and', 'outofplane', 'ferromagnetism', 'and', 'vortex', 'formation', 'the', 'influence', 'of', 'the', 'vortex', 'core', 'on', 'the', 'scaling', 'behavior', 'and', 'phase', 'diagram', 'is', 'analyzed', 'threedimensional', 'phase', 'diagrams', 'are', 'obtained', 'for', 'cylindrical', 'nanorings', 'depending', 'on', 'their', 'height', 'outer', 'and', 'inner', 'radius', 'the', 'triple', 'points', 'in', 'these', 'phase', 'diagrams', 'are', 'shown', 'to', 'be', 'in', 'linear', 'relationship', 'with', 'the', 'inner', 'radius', 'of', 'the', 'ring', 'elliptically', 'shaped', 'magnetic', 'nanoparticles', 'are', 'also', 'studied', 'a', 'new', 'parametrization', 'for', 'double', 'vortex', 'configurations', 'is', 'proposed', 'and', 'regions', 'in', 'the', 'phase', 'diagram', 'are', 'identified', 'where', 'the', 'double', 'vortex', 'is', 'a', 'stable', 'ground', 'state']] | [-0.17749028105358436, 0.1826225999628113, -0.0856844193086687, 0.04853653859388286, -0.05162075562656027, -0.10027193017684076, -0.009582876389352034, 0.43485643935776286, -0.24056331377451112, -0.2940992335503807, 0.06699114017581352, -0.2434911712700007, -0.1377438011129393, 0.18359354604669167, 0.023432127529514485, 0.02727620572257204, -0.004525464407459763, 0.0018384829955492294, -0.09515115588611993, -0.20926250323659557, 0.310397395449152, 0.0005775303959998549, 0.3179410091493608, 0.007081643378102303, 0.019321525949734537, -0.04018791731396297, 0.05363003442025915, 0.09180908680570368, -0.20026386367651272, 0.057127235093008294, 0.1862618558371731, -0.045052671063767404, 0.09893298780444224, -0.42242813134426566, -0.1790321679541534, 0.051002598221914296, 0.16769079745550747, 0.08880638671392689, -0.05072878154951344, -0.2817057446817405, 0.08751181776629013, -0.11930261179488026, -0.17736552842594935, -0.08706240733882704, 0.02788255077970474, 0.060440947427604426, -0.26806566378317115, 0.053193524449574286, 0.059187066318391233, 0.08455029015942496, -0.07668994686829218, -0.11243348363248416, -0.08332818369286096, 0.07658000999022604, 0.01572639899182634, 0.03091481220306588, 0.14763966984856797, -0.12060733682217217, -0.09791903316873271, 0.3408713908675982, 0.016410693995097057, -0.15956718874873504, 0.16776242418544127, -0.16597778610505012, -0.0677192513371634, 0.19879558611958967, 0.10701534525668692, 0.1053225983719842, -0.10669432933993485, 0.07082777416854653, -0.01934753992708818, 0.1741242290024652, 0.07805878916425871, 0.028858207777127873, 0.2811351449792685, 0.18794941588472827, 0.011883000111671444, 0.19912628285099, -0.1340268639448498, -0.17213833555072344, -0.2222136034405328, -0.11802429092876125, -0.15845726156087758, -0.0333567561928601, -0.11361811798135987, -0.2327741386070309, 0.3588752845923106, 0.036073166498087575, 0.19689675168150902, -0.0727983226027137, 0.24748779598902276, 0.07449138040343921, 0.0605221971771268, 0.03251710645521858, 0.27471302578314427, 0.2028097078096451, 0.0794571118055507, -0.25716250776202376, 0.033126373355574654, 0.07605342550375847] |
709.4062 | The Burst Spectra of EXO 0748-676 during a Long 2003 XMM-Newton
Observation | Gravitationally redshifted absorption lines from highly ionized iron have
been previously identified in the burst spectra of the neutron star in EXO
0748-676. To repeat this detection we obtained a long, nearly 600 ks
observation of the source with XMM-Newton in 2003. The spectral features seen
in the burst spectra from the initial data are not reproduced in the burst
spectra from this new data. In this paper we present the spectra from the 2003
observations and discuss the sensitivity of the absorption structure to changes
in the photospheric conditions.
| astro-ph | gravitationally redshifted absorption lines from highly ionized iron have been previously identified in the burst spectra of the neutron star in exo 0748676 to repeat this detection we obtained a long nearly 600 ks observation of the source with xmmnewton in 2003 the spectral features seen in the burst spectra from the initial data are not reproduced in the burst spectra from this new data in this paper we present the spectra from the 2003 observations and discuss the sensitivity of the absorption structure to changes in the photospheric conditions | [['gravitationally', 'redshifted', 'absorption', 'lines', 'from', 'highly', 'ionized', 'iron', 'have', 'been', 'previously', 'identified', 'in', 'the', 'burst', 'spectra', 'of', 'the', 'neutron', 'star', 'in', 'exo', '0748676', 'to', 'repeat', 'this', 'detection', 'we', 'obtained', 'a', 'long', 'nearly', '600', 'ks', 'observation', 'of', 'the', 'source', 'with', 'xmmnewton', 'in', '2003', 'the', 'spectral', 'features', 'seen', 'in', 'the', 'burst', 'spectra', 'from', 'the', 'initial', 'data', 'are', 'not', 'reproduced', 'in', 'the', 'burst', 'spectra', 'from', 'this', 'new', 'data', 'in', 'this', 'paper', 'we', 'present', 'the', 'spectra', 'from', 'the', '2003', 'observations', 'and', 'discuss', 'the', 'sensitivity', 'of', 'the', 'absorption', 'structure', 'to', 'changes', 'in', 'the', 'photospheric', 'conditions']] | [-0.050032888373567, 0.07398689517544375, -0.08147157755576902, 0.060345668822992596, -0.05522060087726762, -0.05894487739747597, 0.0405654583281527, 0.4488940074212021, -0.21798148119511704, -0.34359787981957196, 0.083742535896858, -0.3335672605058385, -0.030067762629025514, 0.19525738711365395, -0.04008815916151636, -0.007943038425097863, 0.11702764569264319, -0.03605307327686912, -0.05587429822319084, -0.2047905880944907, 0.29386593023599644, 0.12343187244712478, 0.19075755554561813, -0.029808322283335856, -0.0027854713197383615, -0.05437687655341708, -0.09364692628280157, -0.03729961903558837, -0.13723075799643994, 0.05233634919802878, 0.2571950908129414, 0.14405724995691951, 0.1358494393242937, -0.3658222737618618, -0.24934082247523798, 0.02940702291412486, 0.14705793732880718, 0.06957052963682347, -0.04226666630970107, -0.33060809870560964, 0.02382096963055018, -0.1855235081166029, -0.1271739362221625, 0.04711975487363007, 0.03598128474420971, 0.031965376550538674, -0.1816620747177189, 0.10222788345094563, 0.008067277280820741, 0.07652905431265632, -0.1572771493035058, -0.048861856210149, -0.01972718665169345, 0.07656072650829124, 0.05547153635157479, -0.015045859664678574, 0.07301145016422703, -0.1110559419185544, -0.07091673747118976, 0.3594304064806137, -0.14271341320127248, 0.048002307675778864, 0.17954933007972107, -0.2195844935770664, -0.2440995289892372, 0.2477196833739678, 0.11728318663727906, 0.13298707224635614, -0.1740212886031562, -0.005826195278334328, -0.050029530396891966, 0.22710260769559276, 0.0673697113007721, 0.06382334380048431, 0.2607689361605379, 0.10774493595171306, -0.057245414416926606, 0.1255804906838522, -0.2807188070637898, 0.03402326997473008, -0.24650985747478746, -0.060914351933752185, -0.15541363613059123, 0.07921061500819633, -0.017186767535329436, -0.13089559358648128, 0.4235245910162727, 0.11144705763500598, 0.2627920440010106, -0.017336204358273082, 0.25755067633775375, 0.09362149984679288, 0.07540803782434927, 0.10866636152689656, 0.3669849438385831, 0.14453290157899673, 0.19438803437321137, -0.22511875082531738, 0.06332737551484671, -0.025482365985711415] |
709.4063 | The Importance and Criticality of Spreadsheets in the City of London | Spreadsheets have been with us in their present form for over a quarter of a
century. We have become so used to them that we forget that we are using them
at all. It may serve us well to stand back for a moment to review where, when
and how we use spreadsheets in the financial markets and elsewhere in order to
inform research that may guide their future development. In this article I
bring together the experiences of a number of senior practitioners who have
spent much of their careers working with large spreadsheets that have been and
continue to be used to support major financial transactions and manage large
institutions in the City of London. The author suggests that the City of London
is presently exposed to significant reputational risk through the continued
uncontrolled use of critical spreadsheets in the financial markets and
elsewhere.
| cs.CY | spreadsheets have been with us in their present form for over a quarter of a century we have become so used to them that we forget that we are using them at all it may serve us well to stand back for a moment to review where when and how we use spreadsheets in the financial markets and elsewhere in order to inform research that may guide their future development in this article i bring together the experiences of a number of senior practitioners who have spent much of their careers working with large spreadsheets that have been and continue to be used to support major financial transactions and manage large institutions in the city of london the author suggests that the city of london is presently exposed to significant reputational risk through the continued uncontrolled use of critical spreadsheets in the financial markets and elsewhere | [['spreadsheets', 'have', 'been', 'with', 'us', 'in', 'their', 'present', 'form', 'for', 'over', 'a', 'quarter', 'of', 'a', 'century', 'we', 'have', 'become', 'so', 'used', 'to', 'them', 'that', 'we', 'forget', 'that', 'we', 'are', 'using', 'them', 'at', 'all', 'it', 'may', 'serve', 'us', 'well', 'to', 'stand', 'back', 'for', 'a', 'moment', 'to', 'review', 'where', 'when', 'and', 'how', 'we', 'use', 'spreadsheets', 'in', 'the', 'financial', 'markets', 'and', 'elsewhere', 'in', 'order', 'to', 'inform', 'research', 'that', 'may', 'guide', 'their', 'future', 'development', 'in', 'this', 'article', 'i', 'bring', 'together', 'the', 'experiences', 'of', 'a', 'number', 'of', 'senior', 'practitioners', 'who', 'have', 'spent', 'much', 'of', 'their', 'careers', 'working', 'with', 'large', 'spreadsheets', 'that', 'have', 'been', 'and', 'continue', 'to', 'be', 'used', 'to', 'support', 'major', 'financial', 'transactions', 'and', 'manage', 'large', 'institutions', 'in', 'the', 'city', 'of', 'london', 'the', 'author', 'suggests', 'that', 'the', 'city', 'of', 'london', 'is', 'presently', 'exposed', 'to', 'significant', 'reputational', 'risk', 'through', 'the', 'continued', 'uncontrolled', 'use', 'of', 'critical', 'spreadsheets', 'in', 'the', 'financial', 'markets', 'and', 'elsewhere']] | [-0.038817396259879414, 0.073043063842717, -0.11084645123488895, 0.09116778309035996, -0.1494561771428442, -0.08041581915921137, 0.10800667963834314, 0.40220138619411483, -0.20722315306392536, -0.3208645572407452, 0.16433392226702392, -0.3228642942610337, -0.14284120948366463, 0.21873224813695233, -0.12677929462380197, 0.028071774869889328, 0.02183138949107634, 0.018942906827448983, 0.06260505970726937, -0.35543206912044384, 0.2758972458031079, 0.07890141893765085, 0.25394360072374955, 0.07162557527971493, 0.012839009443119373, -0.03691987153653004, -0.06397642372558786, 0.03540119891412148, -0.10661650653905594, 0.16403981596741773, 0.3785584774904897, 0.1635842618424037, 0.41085561326615616, -0.5187197634695123, -0.13806426480463516, 0.10459073034612691, 0.11224326781915782, 0.10758137375703208, 0.0065981618859103485, -0.27787671763647653, 0.06084545568542313, -0.2627889193875128, -0.13706596349429798, -0.11409301366563328, 0.061189965925447336, 0.03294072452811397, -0.1909210788634644, -0.010534046102978596, 0.006508624527457071, 0.11873758192993827, -0.00853158395628968, -0.12517526185726874, -0.0040144831570477725, 0.24064685920295656, 0.12391508643815217, 0.005948739694048689, 0.10586053349734731, -0.11810012858150501, -0.10717101518243347, 0.3789115793020656, 0.0038765908198188734, -0.1227912983302129, 0.19020883544437486, -0.17212135267558776, -0.1549949850982744, 0.06674166583800561, 0.25878588166343025, 0.005842373039803072, -0.16620232787970787, 0.028234865246516052, -0.011446100592689768, 0.11947843692845933, 0.0785668758669077, -0.013285953210258526, 0.2316275583061849, 0.14550211547701683, 0.0452717290234382, 0.08897233281319655, -0.028886925815429208, -0.11175917710611367, -0.22528890035536192, -0.20169050985156264, -0.12274441030913046, 0.05131003592316419, -0.0015684699487979268, -0.15258187701134648, 0.3707436659255333, 0.2560965268767426, 0.14111247406124253, 0.008199780118334337, 0.21600128495938156, 0.06752757690304712, 0.12833063295334324, 0.107092373605741, 0.22656610988603573, 0.012523939233426361, 0.2115516075569409, -0.10146917756455504, 0.12622967428744655, -0.03334021880865505] |
709.4064 | Phase transition and critical properties of spin-orbital interacting
systems | Phase transition and critical properties of Ising-like spin-orbital
interacting systems in 2-dimensional triangular lattice are investigated. We
first show that the ground state of the system is a composite spin-orbital
ferro-ordered phase. Though Landau effective field theory predicts the
second-order phase transition of the composite spin-orbital order, however, the
critical exponents obtained by the renormalization group approach demonstrate
that the spin-orbital order-disorder transition is far from the second-order,
rather, it is more close to the first-order, implying that the widely observed
first-order transition in many transition-metal oxides may be intrinsic. The
unusual critical behavior near the transition point is attributed to the
fractionalization of the composite order parameter.
| cond-mat.stat-mech cond-mat.str-el | phase transition and critical properties of isinglike spinorbital interacting systems in 2dimensional triangular lattice are investigated we first show that the ground state of the system is a composite spinorbital ferroordered phase though landau effective field theory predicts the secondorder phase transition of the composite spinorbital order however the critical exponents obtained by the renormalization group approach demonstrate that the spinorbital orderdisorder transition is far from the secondorder rather it is more close to the firstorder implying that the widely observed firstorder transition in many transitionmetal oxides may be intrinsic the unusual critical behavior near the transition point is attributed to the fractionalization of the composite order parameter | [['phase', 'transition', 'and', 'critical', 'properties', 'of', 'isinglike', 'spinorbital', 'interacting', 'systems', 'in', '2dimensional', 'triangular', 'lattice', 'are', 'investigated', 'we', 'first', 'show', 'that', 'the', 'ground', 'state', 'of', 'the', 'system', 'is', 'a', 'composite', 'spinorbital', 'ferroordered', 'phase', 'though', 'landau', 'effective', 'field', 'theory', 'predicts', 'the', 'secondorder', 'phase', 'transition', 'of', 'the', 'composite', 'spinorbital', 'order', 'however', 'the', 'critical', 'exponents', 'obtained', 'by', 'the', 'renormalization', 'group', 'approach', 'demonstrate', 'that', 'the', 'spinorbital', 'orderdisorder', 'transition', 'is', 'far', 'from', 'the', 'secondorder', 'rather', 'it', 'is', 'more', 'close', 'to', 'the', 'firstorder', 'implying', 'that', 'the', 'widely', 'observed', 'firstorder', 'transition', 'in', 'many', 'transitionmetal', 'oxides', 'may', 'be', 'intrinsic', 'the', 'unusual', 'critical', 'behavior', 'near', 'the', 'transition', 'point', 'is', 'attributed', 'to', 'the', 'fractionalization', 'of', 'the', 'composite', 'order', 'parameter']] | [-0.1856244123294932, 0.2338586145246001, -0.075484748929739, 0.062290998671865355, -0.033916113767598836, -0.150887902960982, 0.06262191183425521, 0.3474940915394, -0.25243377983221943, -0.2582710712504025, 0.040390645343131415, -0.3200936029169047, -0.2165265795774758, 0.09030203255781225, 0.07392197490504412, 0.05274406054588122, -0.07955111148680134, 0.03298988820066693, -0.16085577288111585, -0.1730079776738013, 0.3401322584016092, -0.02106208704133457, 0.31837235519958434, 0.04625682648114651, 0.02417549511382931, -0.032257359524945094, 0.17831476334760957, 0.04034581352634547, -0.14011429368498438, 0.03325847774813665, 0.26443469536569075, -0.06076389702393839, 0.18641559004992525, -0.34693683029335237, -0.2271428075227364, 0.05482306769204753, 0.14910490332806708, 0.15360423337633364, -0.03951684572088215, -0.31814475999013564, 0.025743133588650515, -0.15205901894265803, -0.14575099717460085, -0.12847184554334276, -0.03236075061064422, -0.03712540098888121, -0.25571786677551883, 0.09048167349652074, 0.08835856119283936, 0.09637946408311619, -0.044273296558237245, -0.096200651522926, -0.09249285025365442, 0.09876344516594833, 0.044599835521532835, 0.056797342087690515, 0.11905625508227777, -0.14064242886205283, -0.1009618057303618, 0.4439023038912042, -0.037352039644094275, -0.05939658950561675, 0.18464478754621244, -0.20211498785293966, -0.10649877616909341, 0.23853936276581383, 0.09720366998688779, 0.09636926785041795, -0.11944537007502307, 0.08264357685361702, 0.0018739057443687849, 0.21367126217282761, -0.06275918201116898, 0.051379109484744126, 0.25778287317534193, 0.1651402178751392, 0.03981207570476701, 0.17095428717292183, -0.0567285263841258, -0.20585113831700008, -0.2519508161207783, -0.1438511002669546, -0.25714466271260494, 0.015927233746292714, -0.10489402196539248, -0.19667598197811118, 0.366048365330898, 0.18419324345647348, 0.16396758640533157, -0.05086626664073877, 0.18318767910475067, 0.18671831418107324, 0.028659769386122715, 0.009021506208499945, 0.32697516196259413, 0.132405033968302, 0.09345283820163285, -0.28512378688684065, 0.09105133269173658, 0.1265732428215653] |
709.4065 | Comment on: Increasing Exclusion: The Pauli Exclusion Principle and
Energy Conservation for Bound Fermions are Mutually Exclusive
arXiv:physics/0609190v4 [physics.gen-ph] by Jonathan Phillips | Phillips incorrectly analyzes the ionization of He to conclude that the Pauli
exclusion principle and conservation of energy are mutually exclusive. His
error arises from neglect of electron repulsion, improper choices of energy
zeros and other trivial errors.
| physics.gen-ph | phillips incorrectly analyzes the ionization of he to conclude that the pauli exclusion principle and conservation of energy are mutually exclusive his error arises from neglect of electron repulsion improper choices of energy zeros and other trivial errors | [['phillips', 'incorrectly', 'analyzes', 'the', 'ionization', 'of', 'he', 'to', 'conclude', 'that', 'the', 'pauli', 'exclusion', 'principle', 'and', 'conservation', 'of', 'energy', 'are', 'mutually', 'exclusive', 'his', 'error', 'arises', 'from', 'neglect', 'of', 'electron', 'repulsion', 'improper', 'choices', 'of', 'energy', 'zeros', 'and', 'other', 'trivial', 'errors']] | [-0.15255179422858514, 0.14017444584322603, -0.03308194656366188, 0.1577867545022041, -0.06778186407724493, -0.18659418061571686, 0.16429560415838895, 0.29576789048549373, -0.24337022271203368, -0.2693382528071341, -0.03884701957730086, -0.3439420683211402, -0.04216980997865137, 0.10606963829578538, -0.09747879256151225, -0.006467072464721768, 0.06291100203892902, -0.006858878821061042, -0.056348157746374215, -0.24284958819809713, 0.3439789349703412, 0.07177358703981888, 0.2610506863382302, 0.10213979951253063, 0.07598675637947101, 0.06955571981195949, -0.050050986440558186, -0.026635041031496304, -0.07456947469223738, 0.09331535332297024, 0.24485021923656428, 0.09081563851060837, 0.2505007675162664, -0.37497092624145906, -0.1826918459938545, 0.10732773760039556, 0.09637728258722315, 0.11337344083738954, 0.026636374820219844, -0.27279224923174633, -0.05718882903946858, -0.20848690747822585, -0.14528561878557267, -0.041318773488072974, 0.0004184523989495478, 0.08889669755865869, -0.24892777591747672, 0.2122760561147803, 0.14240523015982226, 0.040075115075236874, -0.02779347695238692, -0.21955918812340028, -0.05932447049570711, 0.06982885168767289, 0.12621313022253544, -0.0562014170726271, 0.19315639746491797, -0.03839837120061642, -0.13039026823274694, 0.3779238081586204, 0.04211070424092835, -0.190074095012326, 0.15767500180702068, -0.11851592425649103, -0.10403420533801086, 0.19742064690830088, 0.07015126469348998, -0.034297179087604344, -0.17117310594767332, 0.13582112531998733, -6.662402302026749e-05, 0.09720426248876672, 0.14038203831909127, 0.049759066234783905, 0.1828171477996205, -0.0029499580544468606, 0.023204267809265537, 0.00594964008441342, -0.07580664347072966, -0.12970101725506156, -0.3696819214444411, -0.15301170606950396, -0.1926447936137648, 0.12451919638796856, -0.028060871665825528, -0.15460810320157753, 0.29300291449027627, 0.13080428055438556, 0.12534744054765293, -0.027573775990228904, 0.2907316590610303, 0.13496559441677833, -0.01676205004026231, 0.03273065844060559, 0.30677945039382104, 0.15148129608286054, 0.03452131112939433, -0.270682310213727, 0.09194488825864698, 0.05549457600634349] |
709.4066 | A Uniform Description of the States Recently Observed at B-factories | The newly found states Y(4260), Y(4361), Y(4664) and Z$^\pm$(4430) stir broad
interest in the study of spectroscopy in a typical charmonium scale. The
Y(4260) which was observed earlier has been interpreted as hybrid, molecular
state, and baryonium, etc. In this note we show for the first time that these
new structures, which are hard to be interpreted as charmonium states, can be
systematically embedded into an extended baryonium picture. According to this
assignment, the so far known characters of these states are understandable.
And, in the same framework, we make some predictions for experimenters to
measure in the future.
| hep-ph hep-ex | the newly found states y4260 y4361 y4664 and zpm4430 stir broad interest in the study of spectroscopy in a typical charmonium scale the y4260 which was observed earlier has been interpreted as hybrid molecular state and baryonium etc in this note we show for the first time that these new structures which are hard to be interpreted as charmonium states can be systematically embedded into an extended baryonium picture according to this assignment the so far known characters of these states are understandable and in the same framework we make some predictions for experimenters to measure in the future | [['the', 'newly', 'found', 'states', 'y4260', 'y4361', 'y4664', 'and', 'zpm4430', 'stir', 'broad', 'interest', 'in', 'the', 'study', 'of', 'spectroscopy', 'in', 'a', 'typical', 'charmonium', 'scale', 'the', 'y4260', 'which', 'was', 'observed', 'earlier', 'has', 'been', 'interpreted', 'as', 'hybrid', 'molecular', 'state', 'and', 'baryonium', 'etc', 'in', 'this', 'note', 'we', 'show', 'for', 'the', 'first', 'time', 'that', 'these', 'new', 'structures', 'which', 'are', 'hard', 'to', 'be', 'interpreted', 'as', 'charmonium', 'states', 'can', 'be', 'systematically', 'embedded', 'into', 'an', 'extended', 'baryonium', 'picture', 'according', 'to', 'this', 'assignment', 'the', 'so', 'far', 'known', 'characters', 'of', 'these', 'states', 'are', 'understandable', 'and', 'in', 'the', 'same', 'framework', 'we', 'make', 'some', 'predictions', 'for', 'experimenters', 'to', 'measure', 'in', 'the', 'future']] | [-0.06151250177591117, 0.15699341860491803, -0.13290638004228011, 0.14037138743466487, -0.04502822919604704, -0.10974868775595018, 0.04592104730455531, 0.4050080512371874, -0.252876046046461, -0.2870968139211926, 0.060304848960908035, -0.24193674276016422, -0.10193601709108838, 0.13853973144012474, -0.015637298498648342, 0.09513796011427629, 0.05051560867481779, 0.045508803127659966, -0.005768885384745819, -0.17560095424504624, 0.2900321230042687, 0.023933921201327413, 0.21945464287490882, 0.10009570198359218, -0.04112317913317496, -0.05349075507622251, 0.013913430722391944, 0.012190528470136528, -0.10752515995296826, 0.09145086351362028, 0.2925838754349148, 0.1217849996665819, 0.2128874253188788, -0.416663854776584, -0.21326837835583798, 0.07401348543041338, 0.19483717533846184, 0.1359101988761638, -0.027674223738002407, -0.33948703869678004, 0.11296556726969376, -0.19751001444174765, -0.12359617025466617, -0.11009039376267069, 0.013270384545639618, -0.031014173956511102, -0.21101722995913827, 0.033862981143570746, 0.0034544410054408703, 0.006306469344447569, -0.0887535851179939, -0.18641044803866252, -0.013565070115836318, 0.09490634690605335, 0.027663237840110034, 0.05205221604027776, 0.0938858387118071, -0.1044662137150995, -0.1663180763362763, 0.3857734003248288, -0.05051401058528764, -0.15813256917310128, 0.1894285256191896, -0.1433140900869345, -0.19501027970853232, 0.09457678136838235, 0.15313667365705075, 0.1173113416112268, -0.17754165778301426, 0.012753486830726765, -0.0818299790364258, 0.15902022806178664, 0.040633224872584195, 0.10308812508964431, 0.23026496676017635, 0.14715607739869774, -0.03320900941286812, 0.15603326196955114, -0.05526033703468202, -0.10065811336251725, -0.28872369874998466, -0.18826294362847454, -0.14574575995469524, 0.05583029672666693, 0.051082470027469434, -0.11790510854616608, 0.38398152820228304, 0.11809855185391516, 0.26780964182593775, -0.02559012897341445, 0.24105651051132487, 0.11857011894810676, 0.08615849650172114, 0.05810311829584852, 0.3057944694904193, 0.10810058794378005, 0.08854994346080444, -0.1874075041526986, 0.07855303579768569, -0.028670300609556977] |
709.4067 | Resolution of the Proton Spin Problem | A number of lines of investigation into the structure of the nucleon have
converged to the point where we believe that one has a consistent explanation
of the well known proton spin crisis.
| hep-ph nucl-ex nucl-th | a number of lines of investigation into the structure of the nucleon have converged to the point where we believe that one has a consistent explanation of the well known proton spin crisis | [['a', 'number', 'of', 'lines', 'of', 'investigation', 'into', 'the', 'structure', 'of', 'the', 'nucleon', 'have', 'converged', 'to', 'the', 'point', 'where', 'we', 'believe', 'that', 'one', 'has', 'a', 'consistent', 'explanation', 'of', 'the', 'well', 'known', 'proton', 'spin', 'crisis']] | [-0.09936176251732942, 0.106645467550014, -0.11146563400203983, 0.07531439199705016, -0.05410183383377664, -0.06261405834723546, 0.0720537646363179, 0.3352263100219495, -0.18499237208655386, -0.2748320960637295, 0.06628760293295438, -0.2826682368124073, -0.09751773309527022, 0.17159916195228245, 0.054583442764300286, 0.01585813843165383, 0.03934203949051373, 0.08723195367069407, -0.03632597003668321, -0.14170568435678654, 0.3301440126290827, 0.05291736617007039, 0.22691333316492313, 0.11325409108151992, 0.10325981654001004, -0.02818803968980457, -0.0024972308398873515, 0.04971257337566578, -0.08876808714161268, 0.10890969930386002, 0.23300328204464732, 0.11520689021739544, 0.24627090771118124, -0.45569763897043286, -0.2289833789973548, 0.09020616811573166, 0.17653244959585596, 0.13056094195891285, -0.04041617013739817, -0.21430938679612044, 0.08143737613025939, -0.19987374216769682, -0.19836745476067968, -0.08990860922318517, 0.024670477660203523, 0.016904617462194328, -0.2183550332873975, 0.030228824213598713, 0.0746418078832159, 0.028603755727861866, -0.08327736499521768, -0.19365315300158478, -0.05683856957704958, 0.10751141880102681, 0.13480595551487623, 0.08012456774436445, 0.09532421760994828, -0.14949023252296628, -0.12834708099112366, 0.3946414366364479, 0.0056608801312518844, -0.09494397569109093, 0.12126536359728286, -0.2103700857383735, -0.16736294554941583, 0.14828047099890132, 0.11916586134413426, 0.05709083875020345, -0.1278559907046711, 0.02328110331048568, -0.13098830063686226, 0.17625377553419888, 0.04779212300976118, 0.04179846010678871, 0.2472620690241456, 0.23072146048600023, 0.0743494555424673, 0.08748644608192879, -0.11800079325665579, -0.1216756547942306, -0.28643688040249277, -0.16941072007246089, -0.17452091441461534, 0.10197780643251132, -0.03753681962067882, -0.16653004333828436, 0.4541466260949771, 0.14231789270133682, 0.27305717289334897, -0.036676910084982715, 0.27314305305480957, 0.09859511026209503, 0.10995087321057465, 0.060797583876234115, 0.2595478062602607, 0.14419748176905242, 0.06891137797554786, -0.21090075512642437, 0.07707002420317043, 0.010336262823054285] |
709.4068 | Self-Retracting Motion of Graphite Microflakes | We report the observation of a novel phenomenon, the self-retracting motion
of graphite, in which tiny flakes of graphite, after being displaced to various
suspended positions from islands of highly orientated pyrolytic graphite,
retract back onto the islands under no external influences. Our repeated
probing and observing such flakes of various sizes indicate the existence of a
critical size of flakes, approximately 35 micrometer, above which the
self-retracting motion does not occur under the operation. This helps to
explain the fact that the self-retracting motion of graphite has not been
reported, because samples of natural graphite are typical larger than this
critical size. In fact, reports of this phenomenon have not been found in the
literature for single crystals of any kinds. A model that includes the static
and dynamic shear strengths, the van der Waals interaction force, and the edge
dangling bond interaction effect, was used to explain the observed phenomenon.
These findings may conduce to create nano-electromechanical systems with a wide
range of mechanical operating frequency from mega to giga hertzs.
| cond-mat.mtrl-sci cond-mat.other | we report the observation of a novel phenomenon the selfretracting motion of graphite in which tiny flakes of graphite after being displaced to various suspended positions from islands of highly orientated pyrolytic graphite retract back onto the islands under no external influences our repeated probing and observing such flakes of various sizes indicate the existence of a critical size of flakes approximately 35 micrometer above which the selfretracting motion does not occur under the operation this helps to explain the fact that the selfretracting motion of graphite has not been reported because samples of natural graphite are typical larger than this critical size in fact reports of this phenomenon have not been found in the literature for single crystals of any kinds a model that includes the static and dynamic shear strengths the van der waals interaction force and the edge dangling bond interaction effect was used to explain the observed phenomenon these findings may conduce to create nanoelectromechanical systems with a wide range of mechanical operating frequency from mega to giga hertzs | [['we', 'report', 'the', 'observation', 'of', 'a', 'novel', 'phenomenon', 'the', 'selfretracting', 'motion', 'of', 'graphite', 'in', 'which', 'tiny', 'flakes', 'of', 'graphite', 'after', 'being', 'displaced', 'to', 'various', 'suspended', 'positions', 'from', 'islands', 'of', 'highly', 'orientated', 'pyrolytic', 'graphite', 'retract', 'back', 'onto', 'the', 'islands', 'under', 'no', 'external', 'influences', 'our', 'repeated', 'probing', 'and', 'observing', 'such', 'flakes', 'of', 'various', 'sizes', 'indicate', 'the', 'existence', 'of', 'a', 'critical', 'size', 'of', 'flakes', 'approximately', '35', 'micrometer', 'above', 'which', 'the', 'selfretracting', 'motion', 'does', 'not', 'occur', 'under', 'the', 'operation', 'this', 'helps', 'to', 'explain', 'the', 'fact', 'that', 'the', 'selfretracting', 'motion', 'of', 'graphite', 'has', 'not', 'been', 'reported', 'because', 'samples', 'of', 'natural', 'graphite', 'are', 'typical', 'larger', 'than', 'this', 'critical', 'size', 'in', 'fact', 'reports', 'of', 'this', 'phenomenon', 'have', 'not', 'been', 'found', 'in', 'the', 'literature', 'for', 'single', 'crystals', 'of', 'any', 'kinds', 'a', 'model', 'that', 'includes', 'the', 'static', 'and', 'dynamic', 'shear', 'strengths', 'the', 'van', 'der', 'waals', 'interaction', 'force', 'and', 'the', 'edge', 'dangling', 'bond', 'interaction', 'effect', 'was', 'used', 'to', 'explain', 'the', 'observed', 'phenomenon', 'these', 'findings', 'may', 'conduce', 'to', 'create', 'nanoelectromechanical', 'systems', 'with', 'a', 'wide', 'range', 'of', 'mechanical', 'operating', 'frequency', 'from', 'mega', 'to', 'giga', 'hertzs']] | [-0.13636713265205835, 0.17881713805429508, -0.06314046015273887, -0.026209469910877935, -0.047135346211126944, -0.12211606255059555, 0.05506132404465293, 0.38723566350284855, -0.25739314701042076, -0.3329110589373663, 0.02676101821149037, -0.27176992850905723, -0.12999323450534933, 0.20968904936648475, -0.04619418823757785, 0.02621115018974322, 0.039312799838021655, -0.03993990934976091, -0.020633977481885408, -0.2028513103239023, 0.24039376732110007, 0.060529464551461645, 0.3291988641917275, 0.079353879738163, 0.06566849000539329, -0.013025251989699685, 0.06119508622853473, 0.052863905013867285, -0.14647695575371408, 0.06904250908793741, 0.20841403443008294, -0.053131413670940424, 0.2605973412121264, -0.4727944453822912, -0.2102724947465982, 0.05953926842651637, 0.11431045534837496, 0.16050575306299922, -0.0539067204573294, -0.26697306376155144, 0.08812713608915536, -0.12339763693253085, -0.11984994666209456, -0.014237774702897995, 0.05298181832768023, 0.020384715305105647, -0.18779058456272857, 0.07142201279333088, 0.08065149670391414, 0.06301597135701362, -0.09556710176611308, -0.12356990780089201, -0.048974401869331996, 0.09352116555384646, 0.042745456497206465, -0.0069226789311102105, 0.24387181467091332, -0.09267640399485504, -0.08048710517714479, 0.4182367677924175, -0.018257588647844974, -0.09137341140366007, 0.24401865508259313, -0.18719276421598421, -0.09902372332848339, 0.18494199199273623, 0.12865523689337657, 0.09843858182995521, -0.1560569489825614, 0.011716964340706846, -0.03076126550275811, 0.17799458224285997, 0.13564488887948367, 0.02575982635708881, 0.23582767708108604, 0.19248099831831939, 0.02044029834927894, 0.1484251455457698, -0.13112112811653515, -0.0422813409422605, -0.21849857183507068, -0.13685742107262389, -0.1866448409155528, 0.07969701831588034, -0.05452516641896124, -0.2249279870339427, 0.3618789264969958, 0.16814939225310557, 0.2058049816778872, -0.036915053955327744, 0.22740628896415707, 0.021520279181685104, 0.148979766321277, 0.0031233731949314304, 0.3113281432043955, 0.09783400368682954, 0.10873560856144897, -0.19665939485481967, 0.10507148289999177, -0.018595604892184883] |
709.4069 | Large amounts of optically-obscured star formation in the host galaxies
of some type-2 quasars | We present Hubble Space Telescope images, and spectral energy distributions
from optical to infrared wavelengths for a sample of six 0.3<z<0.8 type-2
quasars selected in the mid-infrared using data from the Spitzer Space
Telescope. All the host galaxies show some signs of disturbance. Most seem to
possess dusty, star-forming disks. The disk inclination, estimated from the
axial ratio of the hosts, correlates with the depth of the silicate feature in
the mid-infrared spectra, implying that at least some of the reddening towards
the AGN arises in the host galaxy. The star formation rates in these objects,
as inferred from the strengths of the PAH features and far-infrared continuum,
range from 3-90 Msun/yr, but are mostly much larger than those inferred from
the [OII]3727 emission line luminosity, due to obscuration. Taken together with
studies of type-2 quasar hosts from samples selected in the optical and X-ray,
this is consistent with previous suggestions that two types of extinction
processes operate within the type-2 quasar population, namely a component due
to the dusty torus in the immediate environment of the AGN, and a more extended
component due to a dusty, star forming disk.
| astro-ph | we present hubble space telescope images and spectral energy distributions from optical to infrared wavelengths for a sample of six 03z08 type2 quasars selected in the midinfrared using data from the spitzer space telescope all the host galaxies show some signs of disturbance most seem to possess dusty starforming disks the disk inclination estimated from the axial ratio of the hosts correlates with the depth of the silicate feature in the midinfrared spectra implying that at least some of the reddening towards the agn arises in the host galaxy the star formation rates in these objects as inferred from the strengths of the pah features and farinfrared continuum range from 390 msunyr but are mostly much larger than those inferred from the oii3727 emission line luminosity due to obscuration taken together with studies of type2 quasar hosts from samples selected in the optical and xray this is consistent with previous suggestions that two types of extinction processes operate within the type2 quasar population namely a component due to the dusty torus in the immediate environment of the agn and a more extended component due to a dusty star forming disk | [['we', 'present', 'hubble', 'space', 'telescope', 'images', 'and', 'spectral', 'energy', 'distributions', 'from', 'optical', 'to', 'infrared', 'wavelengths', 'for', 'a', 'sample', 'of', 'six', '03z08', 'type2', 'quasars', 'selected', 'in', 'the', 'midinfrared', 'using', 'data', 'from', 'the', 'spitzer', 'space', 'telescope', 'all', 'the', 'host', 'galaxies', 'show', 'some', 'signs', 'of', 'disturbance', 'most', 'seem', 'to', 'possess', 'dusty', 'starforming', 'disks', 'the', 'disk', 'inclination', 'estimated', 'from', 'the', 'axial', 'ratio', 'of', 'the', 'hosts', 'correlates', 'with', 'the', 'depth', 'of', 'the', 'silicate', 'feature', 'in', 'the', 'midinfrared', 'spectra', 'implying', 'that', 'at', 'least', 'some', 'of', 'the', 'reddening', 'towards', 'the', 'agn', 'arises', 'in', 'the', 'host', 'galaxy', 'the', 'star', 'formation', 'rates', 'in', 'these', 'objects', 'as', 'inferred', 'from', 'the', 'strengths', 'of', 'the', 'pah', 'features', 'and', 'farinfrared', 'continuum', 'range', 'from', '390', 'msunyr', 'but', 'are', 'mostly', 'much', 'larger', 'than', 'those', 'inferred', 'from', 'the', 'oii3727', 'emission', 'line', 'luminosity', 'due', 'to', 'obscuration', 'taken', 'together', 'with', 'studies', 'of', 'type2', 'quasar', 'hosts', 'from', 'samples', 'selected', 'in', 'the', 'optical', 'and', 'xray', 'this', 'is', 'consistent', 'with', 'previous', 'suggestions', 'that', 'two', 'types', 'of', 'extinction', 'processes', 'operate', 'within', 'the', 'type2', 'quasar', 'population', 'namely', 'a', 'component', 'due', 'to', 'the', 'dusty', 'torus', 'in', 'the', 'immediate', 'environment', 'of', 'the', 'agn', 'and', 'a', 'more', 'extended', 'component', 'due', 'to', 'a', 'dusty', 'star', 'forming', 'disk']] | [-0.014227224994867452, 0.06808031279789774, -0.04837637843172017, 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709.407 | Quasi-period collapse and GL_n(Z)-scissors congruence in rational
polytopes | Quasi-period collapse occurs when the Ehrhart quasi-polynomial of a rational
polytope has a quasi-period less than the denominator of that polytope. This
phenomenon is poorly understood, and all known cases in which it occurs have
been proven with ad hoc methods. In this note, we present a conjectural
explanation for quasi-period collapse in rational polytopes. We show that this
explanation applies to some previous cases appearing in the literature. We also
exhibit examples of Ehrhart polynomials of rational polytopes that are not the
Ehrhart polynomials of any integral polytope.
Our approach depends on the invariance of the Ehrhart quasi-polynomial under
the action of affine unimodular transformations. Motivated by the similarity of
this idea to the scissors congruence problem, we explore the development of a
Dehn-like invariant for rational polytopes in the lattice setting.
| math.CO | quasiperiod collapse occurs when the ehrhart quasipolynomial of a rational polytope has a quasiperiod less than the denominator of that polytope this phenomenon is poorly understood and all known cases in which it occurs have been proven with ad hoc methods in this note we present a conjectural explanation for quasiperiod collapse in rational polytopes we show that this explanation applies to some previous cases appearing in the literature we also exhibit examples of ehrhart polynomials of rational polytopes that are not the ehrhart polynomials of any integral polytope our approach depends on the invariance of the ehrhart quasipolynomial under the action of affine unimodular transformations motivated by the similarity of this idea to the scissors congruence problem we explore the development of a dehnlike invariant for rational polytopes in the lattice setting | [['quasiperiod', 'collapse', 'occurs', 'when', 'the', 'ehrhart', 'quasipolynomial', 'of', 'a', 'rational', 'polytope', 'has', 'a', 'quasiperiod', 'less', 'than', 'the', 'denominator', 'of', 'that', 'polytope', 'this', 'phenomenon', 'is', 'poorly', 'understood', 'and', 'all', 'known', 'cases', 'in', 'which', 'it', 'occurs', 'have', 'been', 'proven', 'with', 'ad', 'hoc', 'methods', 'in', 'this', 'note', 'we', 'present', 'a', 'conjectural', 'explanation', 'for', 'quasiperiod', 'collapse', 'in', 'rational', 'polytopes', 'we', 'show', 'that', 'this', 'explanation', 'applies', 'to', 'some', 'previous', 'cases', 'appearing', 'in', 'the', 'literature', 'we', 'also', 'exhibit', 'examples', 'of', 'ehrhart', 'polynomials', 'of', 'rational', 'polytopes', 'that', 'are', 'not', 'the', 'ehrhart', 'polynomials', 'of', 'any', 'integral', 'polytope', 'our', 'approach', 'depends', 'on', 'the', 'invariance', 'of', 'the', 'ehrhart', 'quasipolynomial', 'under', 'the', 'action', 'of', 'affine', 'unimodular', 'transformations', 'motivated', 'by', 'the', 'similarity', 'of', 'this', 'idea', 'to', 'the', 'scissors', 'congruence', 'problem', 'we', 'explore', 'the', 'development', 'of', 'a', 'dehnlike', 'invariant', 'for', 'rational', 'polytopes', 'in', 'the', 'lattice', 'setting']] | [-0.17180436759284048, 0.045673105477665864, -0.11939309205803456, 0.10105839370005539, -0.11903811883618773, -0.1325958691057608, 0.04699923688454102, 0.35218039329982165, -0.3183153909772183, -0.19957354128586524, 0.10964237474465997, -0.22872483857314696, -0.2775239179644621, 0.1621564312473779, -0.16595421576251587, 0.04381753459826789, 0.021163914476126207, 0.05593618492341854, -0.10539186082138313, -0.369983474921548, 0.3239792945272656, 0.006762142803574644, 0.2064429815385886, 0.07629705183551944, 0.09989312153210807, -0.024859658872821565, -0.004231320401286763, 0.0028342240700085035, -0.17670134869557375, 0.11123269885887788, 0.28171772233238723, 0.12896591700281893, 0.22455071818849043, -0.3961393944213562, -0.12689908511344006, 0.19449101153595344, 0.16657631231514228, 0.09264969300376392, -0.03428800084194253, -0.16808782265324032, 0.046636163888527364, -0.14033760742820572, -0.1885748808942453, -0.08333572240856786, 0.08188854477184852, -0.009630525118237447, -0.24866588873026724, 0.05928972863859434, 0.11464094412936406, 0.15881177093692575, -0.033283775030268414, -0.13195401469287885, 0.0478982506674859, 0.0136186480586096, 0.03766998471374708, 0.046688359211354204, 0.042880985945830064, -0.09672161358211076, -0.18890843157317827, 0.44492728635668755, 0.0440793548278276, -0.2197933723010382, 0.11561272382228212, -0.21216113903122305, -0.21010576993241115, 0.15065324259921908, 0.087050808604214, 0.1666890328122077, -0.03887635006123508, 0.09893973247160444, -0.19129527433577811, 0.05926768539233528, 0.16571126586517715, 0.01203049747996512, 0.17096855180958906, 0.0992228970915841, 0.02390112999516229, 0.1599221344592727, 0.0313841837800503, -0.09593372347510674, -0.3044326338126804, -0.13993738702441932, -0.20944966155432418, 0.09651914297677594, -0.1103537898671868, -0.16464562568757118, 0.3591952206087158, 0.1060191376688608, 0.17791143335246792, 0.13681504087060492, 0.21420068905343104, 0.08766639923101827, 0.08887559410262232, 0.047675219350353334, 0.19387093369931047, 0.10885201981749781, 0.05153091688231198, -0.17895099860051591, 0.09108097579993421, 0.18241200448105563] |
709.4071 | The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo
system | We consider an Allen-Cahn type equation with a bistable nonlinearity
associated to a double-well potential whose well-depths can be slightly
unbalanced, and where the coefficient of the nonlinear reaction term is very
small. Given rather general initial data, we perform a rigorous analysis of
both the generation and the motion of interface. More precisely we show that
the solution develops a steep transition layer within a small time, and we
present an optimal estimate for its width. We then consider a class of
reaction-diffusion systems which includes the FitzHugh-Nagumo system as a
special case. Given rather general initial data, we show that the first
component of the solution vector develops a steep transition layer and that all
the results mentioned above remain true for this component.
| math.AP | we consider an allencahn type equation with a bistable nonlinearity associated to a doublewell potential whose welldepths can be slightly unbalanced and where the coefficient of the nonlinear reaction term is very small given rather general initial data we perform a rigorous analysis of both the generation and the motion of interface more precisely we show that the solution develops a steep transition layer within a small time and we present an optimal estimate for its width we then consider a class of reactiondiffusion systems which includes the fitzhughnagumo system as a special case given rather general initial data we show that the first component of the solution vector develops a steep transition layer and that all the results mentioned above remain true for this component | [['we', 'consider', 'an', 'allencahn', 'type', 'equation', 'with', 'a', 'bistable', 'nonlinearity', 'associated', 'to', 'a', 'doublewell', 'potential', 'whose', 'welldepths', 'can', 'be', 'slightly', 'unbalanced', 'and', 'where', 'the', 'coefficient', 'of', 'the', 'nonlinear', 'reaction', 'term', 'is', 'very', 'small', 'given', 'rather', 'general', 'initial', 'data', 'we', 'perform', 'a', 'rigorous', 'analysis', 'of', 'both', 'the', 'generation', 'and', 'the', 'motion', 'of', 'interface', 'more', 'precisely', 'we', 'show', 'that', 'the', 'solution', 'develops', 'a', 'steep', 'transition', 'layer', 'within', 'a', 'small', 'time', 'and', 'we', 'present', 'an', 'optimal', 'estimate', 'for', 'its', 'width', 'we', 'then', 'consider', 'a', 'class', 'of', 'reactiondiffusion', 'systems', 'which', 'includes', 'the', 'fitzhughnagumo', 'system', 'as', 'a', 'special', 'case', 'given', 'rather', 'general', 'initial', 'data', 'we', 'show', 'that', 'the', 'first', 'component', 'of', 'the', 'solution', 'vector', 'develops', 'a', 'steep', 'transition', 'layer', 'and', 'that', 'all', 'the', 'results', 'mentioned', 'above', 'remain', 'true', 'for', 'this', 'component']] | [-0.15325908918979592, 0.09169033639311296, -0.041798811090143675, 0.051315373765112506, -0.06516009827129661, -0.16987924005407545, 0.028762763579531263, 0.3343609748851685, -0.28144927476606674, -0.23337091864012774, 0.11622721890157592, -0.26490262205645976, -0.17778234546939428, 0.1735113227872976, -0.02462595810795883, 0.036648859276846496, 0.07212137410210238, 0.04478724836187053, -0.04608358826491952, -0.17216512904916373, 0.37476055028419647, -0.00396845822355577, 0.2346856954880798, 0.03040989155008916, 0.11626531685414236, -0.029570996947956108, 0.051950426321358434, 0.03831590822203055, -0.13637247551430068, 0.09363483225313267, 0.20064981111754027, 0.0692957338344838, 0.28839738721707986, -0.4090663095610955, -0.23157839713588593, 0.10065351507168203, 0.12133913652394854, 0.15853837427465126, -0.09430054242832175, -0.24676946877124942, 0.09015128794052298, -0.1619020710433168, -0.1809207797789621, -0.0429231494716886, 0.041497712880964314, 0.03581190570479348, -0.3119502550375367, 0.11423318085837222, 0.09642285924582254, 0.007083940282759685, -0.11304067411655856, -0.07289657858292764, -0.011211462758688463, 0.08097260051022565, 0.007589704826444624, 0.025643725433462626, 0.07865988103523185, -0.14115560518777265, -0.02590530855758559, 0.3782127429952934, -0.12156749652543415, -0.21366845534020473, 0.16090607744759866, -0.12733536435010295, -0.11264473281057906, 0.11215803225798207, 0.19315111380816985, 0.14143088236377235, -0.14521540205423084, 0.04716390108371833, -0.038680096744515356, 0.20628679564429653, 0.020721276385879648, -0.028619708935914947, 0.12322024942333219, 0.20101585105017183, 0.10380900277948332, 0.17877562801327762, -0.09195857378238413, -0.11693143173830495, -0.3436413748958518, -0.13999733940831252, -0.14826905648390362, 0.0526288190869511, -0.086282490234774, -0.2117925139637442, 0.41813427091590943, 0.11166556753839056, 0.2407896468851952, 0.08551966128334965, 0.25754910296878764, 0.19733702017471105, 0.01781557319641468, 0.0878608555584732, 0.2294525002972001, 0.09503803361162898, 0.12448817205482296, -0.18598929949710885, 0.05522681935320771, 0.027365565017264868] |
709.4072 | Stability of foliations induced by rational maps | We show that the singular holomorphic foliations induced by dominant
quasi-homogeneous rational maps fill out irreducible components of the space
$\mathscr F_q(r, d)$ of singular foliations of codimension $q$ and degree $d$
on the complex projective space $\mathbb P^r$, when $1\le q \le r-2$. We study
the geometry of these irreducible components. In particular we prove that they
are all rational varieties and we compute their projective degrees in several
cases.
| math.AG math.CV | we show that the singular holomorphic foliations induced by dominant quasihomogeneous rational maps fill out irreducible components of the space mathscr f_qr d of singular foliations of codimension q and degree d on the complex projective space mathbb pr when 1le q le r2 we study the geometry of these irreducible components in particular we prove that they are all rational varieties and we compute their projective degrees in several cases | [['we', 'show', 'that', 'the', 'singular', 'holomorphic', 'foliations', 'induced', 'by', 'dominant', 'quasihomogeneous', 'rational', 'maps', 'fill', 'out', 'irreducible', 'components', 'of', 'the', 'space', 'mathscr', 'f_qr', 'd', 'of', 'singular', 'foliations', 'of', 'codimension', 'q', 'and', 'degree', 'd', 'on', 'the', 'complex', 'projective', 'space', 'mathbb', 'pr', 'when', '1le', 'q', 'le', 'r2', 'we', 'study', 'the', 'geometry', 'of', 'these', 'irreducible', 'components', 'in', 'particular', 'we', 'prove', 'that', 'they', 'are', 'all', 'rational', 'varieties', 'and', 'we', 'compute', 'their', 'projective', 'degrees', 'in', 'several', 'cases']] | [-0.27508922351498, 0.09174032488339384, -0.032608997066911886, 0.04577027118279481, -0.028706715055282266, -0.16477762150879896, -0.07281638272631337, 0.3531076413330058, -0.32028403716214315, -0.10186513788788251, 0.04578187141213304, -0.2974832113045202, -0.16617042508343577, 0.16762080298028362, -0.10934669138784979, -0.0029035320662906474, 0.004409957001589133, 0.06161528062337721, -0.12930453726267574, -0.3486495865722069, 0.4823474396072643, -0.11820516394267619, 0.14670755666956095, 0.039479537001273164, 0.12989928657320185, 0.027558537882188677, -0.012669350833855045, -0.028779452826327056, -0.22718703943000562, 0.12740748535684296, 0.35096226425342997, 0.0812111261110543, 0.14643734223930768, -0.35037484921147705, -0.15139596232436073, 0.3227733783161556, 0.19031006808091008, -0.05007548430855845, 0.09870504449010158, -0.223520275100436, 0.08617349121470372, -0.09034607749498731, -0.23160526807695417, -0.14627181554973964, 0.09115639866762598, 0.04092503527612228, -0.21459140972247426, -0.018806636805685475, 0.1638403092970101, 0.18239055025640508, -0.04626964358612895, -0.1801982392412676, -0.1420798569747155, 0.04641454974328771, -0.037863367092861255, 0.07283791467796644, 0.08332824448622028, -0.07584028120454349, -0.05839633217579882, 0.30067386599519935, -0.03694251320705238, -0.2653234646931081, 0.11653551056941736, -0.24791499286968732, -0.17773333315173506, 0.13607370097872237, 0.16168463224886168, 0.21678385019800822, 0.04127963985423853, 0.2431319420222639, -0.0925866861853906, 0.04180429434456246, 0.14412814076386496, -0.021701619435678905, 0.1325305359516765, -0.012770740334993936, 0.0590294614935566, 0.07979959051426448, -0.029340721952112417, -0.007375377466456151, -0.3892947273250197, -0.18626105607631552, -0.10011569330711442, 0.17771353893323052, -0.18484722787447103, -0.11334772476218116, 0.3764371394874974, 0.04674712637714832, 0.22670344634532508, 0.08761429147217685, 0.21926588516249518, -0.014038441086214192, -0.015471769959180497, 0.09534340643022261, 0.15172079744548733, 0.16737501011361225, -0.08320131587704092, -0.12583406539765044, -0.0358834833982335, 0.1742770038807476] |
709.4073 | Reply to 'comment on Berry phase in a composite system' | In this reply, we show that the adiabatic theorem would break down in the
weak coupling limit, and the definition for the subsystem geometric phase is
well defined.
| quant-ph | in this reply we show that the adiabatic theorem would break down in the weak coupling limit and the definition for the subsystem geometric phase is well defined | [['in', 'this', 'reply', 'we', 'show', 'that', 'the', 'adiabatic', 'theorem', 'would', 'break', 'down', 'in', 'the', 'weak', 'coupling', 'limit', 'and', 'the', 'definition', 'for', 'the', 'subsystem', 'geometric', 'phase', 'is', 'well', 'defined']] | [-0.1713788772800139, 0.15555127527165627, -0.10964076846305813, 0.0922115143787648, -0.03807697046015944, -0.10865160656560745, 0.1104833263504718, 0.30583279659705503, -0.3081946617790631, -0.29809988965280354, 0.08717723604058847, -0.21614883287942835, -0.10961188921438796, 0.1431604198047093, -0.10076868435966649, 0.012069539882109634, -0.0003997598375592913, 0.018089100269467702, -0.09516619913379795, -0.16850663033047958, 0.2989788831743811, 0.0069324006991727015, 0.30381134897470474, 0.14397698644565285, 0.04846887623092958, 0.04329686814786068, 5.89609013072082e-05, -0.007380490923034293, -0.14551431673342968, -0.016809589196262614, 0.2002432349004916, 0.046576575708708594, 0.22406416812113353, -0.39684613508039285, -0.14711700369870023, 0.102635562652722, 0.12862150025154864, 0.1525159234713231, 0.03946436592377722, -0.2660881587570267, 0.056644950228344114, -0.15984442467535181, -0.18109849338153644, -0.10316841670178942, 0.017846174937273775, -0.00861933913464392, -0.22590942789767204, 0.09546401501367134, 0.20608223499480768, 0.019987361206273948, -0.010539950836183769, 0.014241679105907679, -0.013382358052435197, 0.09634032586057271, 0.04420155834772491, 0.060838376571025164, 0.13416515478664742, -0.0701774700927282, -0.052664855046064725, 0.3738017563841173, -0.1194254114400662, -0.13399555181552256, 0.15759914734267763, -0.12509030805501556, -0.18999614659696817, 0.0394431894778141, 0.05783815635368228, 0.10270405703756426, -0.08311369426415435, 0.13140178644555686, -0.011807310029066034, 0.17233787636671746, 0.07770001216392432, 0.0797592595918104, 0.20294122131807463, 0.11227895758513894, 0.07598628472935941, 0.14441267367718474, -0.05096473720706334, -0.12056259465004716, -0.34910508351666586, -0.16726925110976612, -0.21446789701336197, 0.11092103132978082, -0.08751234408815176, -0.12812984378875367, 0.3415209462067911, 0.2015948580478185, 0.1739903168220605, 0.07516374498040282, 0.2648657181499792, 0.21363238577864, 0.03580280110639121, 0.05885831022169441, 0.35694877869848696, 0.12577545789203473, 0.09266602986359171, -0.196353517888513, 0.00448874374186354, 0.10906650360474097] |
709.4074 | Comment on "Hawking Radiation and Covariant Anomalies" | We comment on the consistence of the epsilon anti-symmetric tensor adopted in
[R. Banerjee and S. Kulkarni, arXiv:0707.2449] when it is generalized in the
general case where $\sqrt{-g} \neq 1$. It is pointed out that the correct
non-minimal consistent gauge and gravitational anomalies should by multiplied a
factor $\sqrt{-g} \neq 1$. We also sketch the generalization of their work to
the $\sqrt{-g} \neq 1$ case.
| hep-th gr-qc | we comment on the consistence of the epsilon antisymmetric tensor adopted in r banerjee and s kulkarni arxiv07072449 when it is generalized in the general case where sqrtg neq 1 it is pointed out that the correct nonminimal consistent gauge and gravitational anomalies should by multiplied a factor sqrtg neq 1 we also sketch the generalization of their work to the sqrtg neq 1 case | [['we', 'comment', 'on', 'the', 'consistence', 'of', 'the', 'epsilon', 'antisymmetric', 'tensor', 'adopted', 'in', 'r', 'banerjee', 'and', 's', 'kulkarni', 'arxiv07072449', 'when', 'it', 'is', 'generalized', 'in', 'the', 'general', 'case', 'where', 'sqrtg', 'neq', '1', 'it', 'is', 'pointed', 'out', 'that', 'the', 'correct', 'nonminimal', 'consistent', 'gauge', 'and', 'gravitational', 'anomalies', 'should', 'by', 'multiplied', 'a', 'factor', 'sqrtg', 'neq', '1', 'we', 'also', 'sketch', 'the', 'generalization', 'of', 'their', 'work', 'to', 'the', 'sqrtg', 'neq', '1', 'case']] | [-0.15232273024650148, 0.14594443414109545, -0.01678529899710646, 0.07969334872367863, -0.0789142742072447, -0.2200988151992743, 0.004267068063983551, 0.28518829592145406, -0.20028131543300473, -0.20320289690190782, 0.03073323632303912, -0.3068695545912935, -0.17836093332331915, 0.09899941078933458, -0.06580912412072604, -0.023478849776662314, -0.051889227316356624, 0.04043479215067167, -0.09097115495242178, -0.26818589379008, 0.3276691185310483, 0.0773702486543558, 0.17721362056640477, 0.0865639357182842, 0.06909964398767512, -0.0037490430359656992, -0.04759543962203539, 0.024991903768834443, -0.1881025403063037, -0.006669934437825129, 0.18766000574597946, 0.11085042035959375, 0.2019536201770489, -0.31157733623314504, -0.15601691513393934, 0.13098374840158683, 0.12537241467059804, 0.012850665086163924, 0.05353716567982561, -0.25905774351782523, 0.1389307580816631, -0.20883449052388853, -0.12400757931351948, -0.07607180000497744, 0.14071262141403099, -0.10793787555124323, -0.3046816019771191, 0.07918262405706068, 0.1215827070749723, -0.005463253089468568, -0.015441148584851851, -0.20061298824954205, -0.0045403119463187, -0.006745274351963487, 0.11410156388838703, 0.14400765582059438, 0.08031828439293, -0.10138884562139328, -0.022111681934732657, 0.3835899129509926, -0.12097298812765915, -0.2510035097025908, 0.08214663902942378, -0.15685575275610272, -0.17766958429263188, 0.003506268747150898, 0.014630355284764217, 0.16460321387276053, -0.040999590660346884, 0.21265213783794584, -0.0460928951175167, 0.12579360426618502, 0.11559632224245714, -0.06863090523715633, 0.14294784347025247, 0.03986567012034357, 0.016071417691329352, 0.06094673589731638, -0.03453814053119948, -0.05218136860796501, -0.4185491243807169, -0.16449258075310633, -0.17657851615132622, 0.13781688989928134, -0.11745083761858181, -0.06619085680979948, 0.35124432931725796, 0.16950405710018598, 0.14113264403467138, 0.05766072915150569, 0.21133051928705893, 0.10858168073464185, 0.014757037732320337, 0.08471730312762352, 0.27426755912601947, 0.1571851141929913, 0.07770523553212674, -0.19547880133793044, -0.05653810668736696, 0.07545605852053716] |
709.4075 | Effects of Ca substitution and the pseudogap on the magnetic properties
of Y1-xCaxBa2Cu3O7-delta | The effects of planar hole content, p, on the static magnetic susceptibility,
chi(T), of Y1-xCaxBa2Cu3O7-delta polycrystalline samples were investigated over
a wide range of Ca (x) and oxygen contents. Non-magnetic Ca2+, in the 3p6
state, induces a Curie-like contribution to chi(T) that increases
systematically and non-linearly with x but is almost independent of p. We argue
that this arises from statistical clusters containing two or more nearest
neighbor Ca atoms. We have again found that the pseudogap in the quasi-particle
spectral weight appears abruptly below a planar hole content p = 0.190 +/-
0.005.
| cond-mat.supr-con cond-mat.str-el | the effects of planar hole content p on the static magnetic susceptibility chit of y1xcaxba2cu3o7delta polycrystalline samples were investigated over a wide range of ca x and oxygen contents nonmagnetic ca2 in the 3p6 state induces a curielike contribution to chit that increases systematically and nonlinearly with x but is almost independent of p we argue that this arises from statistical clusters containing two or more nearest neighbor ca atoms we have again found that the pseudogap in the quasiparticle spectral weight appears abruptly below a planar hole content p 0190 0005 | [['the', 'effects', 'of', 'planar', 'hole', 'content', 'p', 'on', 'the', 'static', 'magnetic', 'susceptibility', 'chit', 'of', 'y1xcaxba2cu3o7delta', 'polycrystalline', 'samples', 'were', 'investigated', 'over', 'a', 'wide', 'range', 'of', 'ca', 'x', 'and', 'oxygen', 'contents', 'nonmagnetic', 'ca2', 'in', 'the', '3p6', 'state', 'induces', 'a', 'curielike', 'contribution', 'to', 'chit', 'that', 'increases', 'systematically', 'and', 'nonlinearly', 'with', 'x', 'but', 'is', 'almost', 'independent', 'of', 'p', 'we', 'argue', 'that', 'this', 'arises', 'from', 'statistical', 'clusters', 'containing', 'two', 'or', 'more', 'nearest', 'neighbor', 'ca', 'atoms', 'we', 'have', 'again', 'found', 'that', 'the', 'pseudogap', 'in', 'the', 'quasiparticle', 'spectral', 'weight', 'appears', 'abruptly', 'below', 'a', 'planar', 'hole', 'content', 'p', '0190', '0005']] | [-0.14367944709880723, 0.21739743587196522, -0.004365919502047093, 0.0222648764914914, -0.01124679677836273, -0.14578829783156677, 0.13984493096612152, 0.4079305181765686, -0.2637490175623933, -0.2844380472847463, -0.032023804867133986, -0.4012749530071312, -0.045651355472332594, 0.11683089120829802, 0.025284400817168796, -0.06074665304597305, -0.03848629284133811, 0.058923900785410536, -0.12176933392386316, -0.25416325073203316, 0.2886446375784505, -0.005669051173912442, 0.3007220406712883, 0.02203035009417521, 0.013802565010416361, 0.025120867168247376, 0.08049895299558082, 0.0738797278912819, -0.14433734644191407, 0.02458658123340802, 0.25433094805592427, 0.015148516018598457, 0.18866870703388247, -0.35947050838022615, -0.21566364259216125, 0.05824106537392768, 0.1489749025280142, 0.08978909030085323, -0.06938524812769332, -0.22783378141289373, 0.11271592442695376, -0.1279719598849466, -0.08454233414048086, -0.04788850765227993, 0.07085726971980995, -0.0039044402074068785, -0.25927083487824903, 0.15219565246724928, 0.10028039593927805, 0.09510698787483346, -0.1088912443500822, -0.19767083236239041, -0.10543472991507176, 0.03766961646033451, 0.053420338564572616, 0.1011895127126279, 0.17846654915331822, -0.06430501572575177, -0.025002168121990628, 0.3447838421485832, -0.059320314868312816, -0.051837756748959095, 0.1545970225200543, -0.2275767915720201, -0.10693325342151144, 0.18816458352628854, 0.10480045818258077, 0.12794639118795242, -0.13276015532977434, 0.11609176134199674, -0.03674761574391438, 0.25602080790406984, 0.05728289995180524, 0.022867984965990257, 0.22113150386544672, 0.1412251024081817, 0.01505924260456358, 0.13706316736162358, -0.15526121761902925, -0.014930337971157354, -0.20513729216611903, -0.10817341665919546, -0.1594193261926589, 0.10377754411994196, -0.11482429884990383, -0.18733518484109285, 0.31454033891508437, 0.0985146983875893, 0.2175692742255152, -0.039141177584457655, 0.15861070026522098, 0.05299923353279313, 0.05636985273525605, 0.0739317182729871, 0.1821244105939632, 0.16925770110379823, 0.1418677483996599, -0.25257693300195766, 0.0711153670718372, -0.005950890658625766] |
709.4076 | Numerical results of two-dimensional N=(2,2) super Yang-Mills theory | We report the results of a numerical simulation of a lattice formulation of
the two-dimensional N=(2,2) super Yang-Mills theory proposed by Suzuki and
Taniguchi. We measure the 1-point functions and 2-point functions. The scenario
is that only tuning of the scalar mass to a specific value gives a
supersymmetric continuum limit. Our results are consistent with this scenario
although conclusive results on the restoration of supersymmetry have not been
obtained.
| hep-lat | we report the results of a numerical simulation of a lattice formulation of the twodimensional n22 super yangmills theory proposed by suzuki and taniguchi we measure the 1point functions and 2point functions the scenario is that only tuning of the scalar mass to a specific value gives a supersymmetric continuum limit our results are consistent with this scenario although conclusive results on the restoration of supersymmetry have not been obtained | [['we', 'report', 'the', 'results', 'of', 'a', 'numerical', 'simulation', 'of', 'a', 'lattice', 'formulation', 'of', 'the', 'twodimensional', 'n22', 'super', 'yangmills', 'theory', 'proposed', 'by', 'suzuki', 'and', 'taniguchi', 'we', 'measure', 'the', '1point', 'functions', 'and', '2point', 'functions', 'the', 'scenario', 'is', 'that', 'only', 'tuning', 'of', 'the', 'scalar', 'mass', 'to', 'a', 'specific', 'value', 'gives', 'a', 'supersymmetric', 'continuum', 'limit', 'our', 'results', 'are', 'consistent', 'with', 'this', 'scenario', 'although', 'conclusive', 'results', 'on', 'the', 'restoration', 'of', 'supersymmetry', 'have', 'not', 'been', 'obtained']] | [-0.10813173206656107, 0.08430631582492164, -0.10956398019833224, 0.06002150337610926, -0.04472727822056705, -0.09635714059695602, 0.03244212246333648, 0.36085817065821696, -0.10169202004492815, -0.2658022076689771, 0.12731126709508578, -0.27269631444609593, -0.1855788845036711, 0.16797754233703016, -0.03338038393828486, 0.08836326330368008, 0.04947687971538731, 0.008023270492308906, -0.12844984388710665, -0.26502120878680474, 0.3080080569655235, 0.04800696095584759, 0.2574932624186788, 0.11090082660583513, 0.08778319906310311, -0.024586661239819868, -0.037090640887618063, 0.01953064812613385, -0.15266533567555599, 0.11333150049405438, 0.16820556807464787, 0.0893874464057652, 0.17940891294607095, -0.3677646501788071, -0.2624348380070712, 0.08244852762270187, 0.13422966258201216, 0.11862965945287475, -0.07126452646916732, -0.26685398433224433, 0.09962252059153148, -0.17213066625076212, -0.15643124958899404, -0.08533135205507278, -0.035906911455094816, -0.04865136982074806, -0.3040833651553839, 0.12053704476649207, 0.00768820110575429, 0.029852208495140076, -0.057136647063972694, -0.11458369864350451, -0.05937710372132382, 0.03920371891664607, 0.05673709833395801, 0.07309926729649305, 0.10782450082312738, -0.17535737062737877, -0.16653915224763166, 0.37051001608903916, -0.0722276748823268, -0.21979951255821756, 0.19105479950750512, -0.1736080569148596, -0.17577208700988975, 0.09481013270893267, 0.09868956726443555, 0.15817657788284123, -0.12048592057877354, 0.13485935192521928, -0.15599209806615752, 0.1747730151351009, 0.012675503395231706, 0.0035595526985291925, 0.20379879131381, 0.15030214623215477, 0.008530926242071604, 0.1317421806144661, -0.04032672174008829, -0.11069194643891284, -0.3874877766306911, -0.11674435786636812, -0.18112173664516637, 0.050807414812775925, -0.09262310646964969, -0.14303289210157735, 0.3886400075629354, 0.13837847380054882, 0.19199669369097266, 0.10691285881080798, 0.2355903573334217, 0.1626793049625121, 0.06910963310095082, 0.032624938884483916, 0.278785034827888, 0.16768500524506505, 0.08519881072986339, -0.23782869734402215, -0.0840751496709085, 0.13361373912276966] |
709.4077 | Local Floer Homology and the Action Gap | In this paper, we study the behavior of the local Floer homology of an
isolated fixed point and the growth of the action gap under iterations. To be
more specific, we prove that an isolated fixed point of a Hamiltonian
diffeomorphism remains isolated for a certain class of iterations (the
so-called admissible iterations) and that the local Floer homology groups for
all such iterations are isomorphic to each other up to a shift of degree.
Furthermore, we study the pair-of-pants product in local Floer homology, and
characterize a particular class of isolated fixed points (the symplectically
degenerate maxima), which plays an important role in the proof of the Conley
conjecture. The proofs of these facts rely on an observation that for a general
diffeomorphism, not necessarily Hamiltonian, an isolated fixed point remains
isolated under all admissible iterations. Finally, we apply these results to
show that for a quasi-arithmetic sequence of admissible iterations of a
Hamiltonian diffeomorphism with isolated fixed points the minimal action gap is
bounded from above when the ambient manifold is closed and symplectically
aspherical. This theorem is a generalization of the Conley conjecture.
| math.SG math.DS | in this paper we study the behavior of the local floer homology of an isolated fixed point and the growth of the action gap under iterations to be more specific we prove that an isolated fixed point of a hamiltonian diffeomorphism remains isolated for a certain class of iterations the socalled admissible iterations and that the local floer homology groups for all such iterations are isomorphic to each other up to a shift of degree furthermore we study the pairofpants product in local floer homology and characterize a particular class of isolated fixed points the symplectically degenerate maxima which plays an important role in the proof of the conley conjecture the proofs of these facts rely on an observation that for a general diffeomorphism not necessarily hamiltonian an isolated fixed point remains isolated under all admissible iterations finally we apply these results to show that for a quasiarithmetic sequence of admissible iterations of a hamiltonian diffeomorphism with isolated fixed points the minimal action gap is bounded from above when the ambient manifold is closed and symplectically aspherical this theorem is a generalization of the conley conjecture | [['in', 'this', 'paper', 'we', 'study', 'the', 'behavior', 'of', 'the', 'local', 'floer', 'homology', 'of', 'an', 'isolated', 'fixed', 'point', 'and', 'the', 'growth', 'of', 'the', 'action', 'gap', 'under', 'iterations', 'to', 'be', 'more', 'specific', 'we', 'prove', 'that', 'an', 'isolated', 'fixed', 'point', 'of', 'a', 'hamiltonian', 'diffeomorphism', 'remains', 'isolated', 'for', 'a', 'certain', 'class', 'of', 'iterations', 'the', 'socalled', 'admissible', 'iterations', 'and', 'that', 'the', 'local', 'floer', 'homology', 'groups', 'for', 'all', 'such', 'iterations', 'are', 'isomorphic', 'to', 'each', 'other', 'up', 'to', 'a', 'shift', 'of', 'degree', 'furthermore', 'we', 'study', 'the', 'pairofpants', 'product', 'in', 'local', 'floer', 'homology', 'and', 'characterize', 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709.4078 | Homological flat dimensions | For finitely generated module $M$ over a local ring $R$, the conventional
notions of complete intersection dimension $\cid_R M$ and Cohen-Macaulay
dimension $\cmdim_R M$ do not extend to cover the case of infinitely generated
modules. In this paper we introduce similar invariants for not necessarily
finitely generated modules, (namely, complete intersection flat and
Cohen-Macaulay flat dimensions) which for finitely generated modules, coincide
with the corresponding classical ones.
| math.AC | for finitely generated module m over a local ring r the conventional notions of complete intersection dimension cid_r m and cohenmacaulay dimension cmdim_r m do not extend to cover the case of infinitely generated modules in this paper we introduce similar invariants for not necessarily finitely generated modules namely complete intersection flat and cohenmacaulay flat dimensions which for finitely generated modules coincide with the corresponding classical ones | [['for', 'finitely', 'generated', 'module', 'm', 'over', 'a', 'local', 'ring', 'r', 'the', 'conventional', 'notions', 'of', 'complete', 'intersection', 'dimension', 'cid_r', 'm', 'and', 'cohenmacaulay', 'dimension', 'cmdim_r', 'm', 'do', 'not', 'extend', 'to', 'cover', 'the', 'case', 'of', 'infinitely', 'generated', 'modules', 'in', 'this', 'paper', 'we', 'introduce', 'similar', 'invariants', 'for', 'not', 'necessarily', 'finitely', 'generated', 'modules', 'namely', 'complete', 'intersection', 'flat', 'and', 'cohenmacaulay', 'flat', 'dimensions', 'which', 'for', 'finitely', 'generated', 'modules', 'coincide', 'with', 'the', 'corresponding', 'classical', 'ones']] | [-0.16840548511021414, 0.07435054319659964, -0.023263133173951737, 0.035522052636728266, -0.03806061725347088, -0.22650203848830783, -0.12883368151513144, 0.3582110389493979, -0.3561215832829475, -0.14971177538928504, 0.08927617407618807, -0.22781995099324445, -0.08052325205734143, 0.209315943522737, -0.1599308085699494, -0.0480491717847494, 0.08761292282635202, 0.1042408668794311, -0.05688446333202032, -0.3729462070945794, 0.42307881543842646, -0.033443327649281575, 0.24878210982021232, -0.010235280457597513, 0.13838597369881778, 0.05504230562454233, -0.07298769697260399, 0.11057570954211629, -0.2097938333136531, 0.12559626520826267, 0.343588936701417, 0.056959923191999016, 0.15614459013136534, -0.3744346792738025, -0.12183376854428878, 0.2771383031199758, 0.15947322570360623, -0.04350000409087023, 0.019437993502315995, -0.21142109521807959, 0.20679337776337678, -0.22466897499532654, -0.1565751485311641, -0.061533233236808045, 0.08688671342455424, -0.0035527171137241216, -0.2557827803449562, -0.017594529788654584, 0.15768087420326013, 0.16375411061140208, -0.025236975946105442, -0.04303309775602359, -0.08320396698724765, 0.07080838176278541, -0.11010450245096133, -0.056074458496788375, 0.1110842705775912, -0.05851158379720381, -0.1617275752270451, 0.300622903312055, -0.051274888690274495, -0.24005257854453074, 0.22906339652836322, -0.19922374902436366, -0.08956861266723046, 0.16118357350619938, 0.013980793580412865, 0.17907133964964977, 0.0032933584772623504, 0.24288987421179906, -0.15551156914578035, 0.04760509111846869, 0.15350321680307388, 0.038371302244754935, 0.16121189737549194, 0.043706664614952526, 0.109657715164716, 0.0959346683552632, 0.06519370205127276, 0.00019766765718276684, -0.3937882386147976, -0.16111929767693464, -0.14938313965327465, 0.14121362834927054, -0.038078756529676655, -0.18989412810187786, 0.44986087651206896, 0.07577257991249028, 0.17402478313216796, 0.16528482153617705, 0.26223079565052804, -0.05461290611957128, 0.10449569352830831, 0.1406675221398473, 0.07742670811712742, 0.17438603562231247, -0.016232055090725995, -0.018769975135532708, -0.04941686651167961, 0.18107572773543115] |
709.4079 | Inferring Diversity: Life After Shannon | The diversity of a community that cannot be fully counted must be inferred.
The two preeminent inference methods are the MaxEnt method, which uses
information in the form of constraints and Bayes' rule which uses information
in the form of data. It has been shown that these two methods are special cases
of the method of Maximum (relative) Entropy (ME). We demonstrate how this
method can be used as a measure of diversity that not only reproduces the
features of Shannon's index but exceeds them by allowing more types of
information to be included in the inference. A specific example is solved in
detail. Additionally, the entropy that is found is the same form as the
thermodynamic entropy.
| stat.ME nlin.AO q-bio.GN q-bio.PE | the diversity of a community that cannot be fully counted must be inferred the two preeminent inference methods are the maxent method which uses information in the form of constraints and bayes rule which uses information in the form of data it has been shown that these two methods are special cases of the method of maximum relative entropy me we demonstrate how this method can be used as a measure of diversity that not only reproduces the features of shannons index but exceeds them by allowing more types of information to be included in the inference a specific example is solved in detail additionally the entropy that is found is the same form as the thermodynamic entropy | [['the', 'diversity', 'of', 'a', 'community', 'that', 'can', 'not', 'be', 'fully', 'counted', 'must', 'be', 'inferred', 'the', 'two', 'preeminent', 'inference', 'methods', 'are', 'the', 'maxent', 'method', 'which', 'uses', 'information', 'in', 'the', 'form', 'of', 'constraints', 'and', 'bayes', 'rule', 'which', 'uses', 'information', 'in', 'the', 'form', 'of', 'data', 'it', 'has', 'been', 'shown', 'that', 'these', 'two', 'methods', 'are', 'special', 'cases', 'of', 'the', 'method', 'of', 'maximum', 'relative', 'entropy', 'me', 'we', 'demonstrate', 'how', 'this', 'method', 'can', 'be', 'used', 'as', 'a', 'measure', 'of', 'diversity', 'that', 'not', 'only', 'reproduces', 'the', 'features', 'of', 'shannons', 'index', 'but', 'exceeds', 'them', 'by', 'allowing', 'more', 'types', 'of', 'information', 'to', 'be', 'included', 'in', 'the', 'inference', 'a', 'specific', 'example', 'is', 'solved', 'in', 'detail', 'additionally', 'the', 'entropy', 'that', 'is', 'found', 'is', 'the', 'same', 'form', 'as', 'the', 'thermodynamic', 'entropy']] | [-0.060508025590987766, 0.07023672166303928, -0.13938141765245118, 0.11204500221490797, -0.082253661264955, -0.14409731629406328, 0.03721358082374605, 0.3668536071767326, -0.28091534700229015, -0.3231752308382958, 0.11977816251020472, -0.2711965023802139, -0.15389932034646764, 0.21568730249296592, -0.07261791192934293, 0.02800752372214837, 0.052269238225348735, 0.11564718362163096, -0.06328873435708404, -0.27210634001413314, 0.29224813494737406, 0.039177079281981005, 0.2978495048562519, 0.0507199153115292, 0.08046555314545653, -0.04996068395102913, -0.02159694621355093, 0.10459449102999308, -0.10168475337730556, 0.1444649038867665, 0.269209784181679, 0.2286132405093331, 0.28864721381770714, -0.3684307676309547, -0.24413542922179238, 0.11576338325338066, 0.15460544995505737, 0.13432785542094844, 0.007498561464687379, -0.2136267925761327, 0.07998447921987967, -0.1888440443915041, -0.0510635878929884, -0.13560925899543055, -0.03349633817560971, 0.029596376146714228, -0.2627408450093715, 0.07908377076397423, 0.08143255654596498, -0.0003911850097424844, -0.018214485598258487, -0.09829448687867458, -0.0599588937157405, 0.15182492925057642, 0.04648344642326173, 0.0013486088865960972, 0.10913479957776535, -0.10424473958222993, -0.11094787384250335, 0.3760226148360667, -0.053774606383663895, -0.2445480465231573, 0.1374390468142238, -0.115674192895878, -0.14657494190203793, 0.11769601086667199, 0.1318890430236689, 0.1369084592814706, -0.21356510266098155, 0.03920263030122136, -0.05273128510648463, 0.1767718594583894, 0.04273158375236417, 0.023006192518069464, 0.19266551397271267, 0.12714572566631838, 0.024494905344664485, 0.14472042668626464, -0.10061520947160066, -0.09862580013797939, -0.26831750775209995, -0.17866871065358406, -0.235666697390941, -0.0038607256805442054, -0.09235304163975794, -0.12108595207007798, 0.3560986258167805, 0.1726565643531875, 0.1888250457357709, 0.011293231135922946, 0.28481445974912967, 0.14699392146313517, 0.12319230246885891, 0.09586251272326883, 0.25865144200599555, 0.11448254744804018, 0.06041399334721705, -0.17762690858461527, 0.14250995973985986, 0.049782101798630435] |
709.408 | Theoretical Spectra and Light Curves of Close-in Extrasolar Giant
Planets and Comparison with Data | We present theoretical atmosphere, spectral, and light-curve models for
extrasolar giant planets (EGPs) undergoing strong irradiation for which {\it
Spitzer} planet/star contrast ratios or light curves have been published (circa
June 2007). These include HD 209458b, HD 189733b, TrES-1, HD 149026b, HD
179949b, and $\upsilon$ And b. By comparing models with data, we find that a
number of EGP atmospheres experience thermal inversions and have stratospheres.
This is particularly true for HD 209458b, HD 149026b, and $\upsilon$ And b.
This finding translates into qualitative changes in the planet/star contrast
ratios at secondary eclipse and in close-in EGP orbital light curves. Moreover,
the presence of atmospheric water in abundance is fully consistent with all the
{\it Spitzer} data for the measured planets. For planets with stratospheres,
water absorption features invert into emission features and mid-infrared fluxes
can be enhanced by a factor of two. In addition, the character of near-infrared
planetary spectra can be radically altered. We derive a correlation between the
importance of such stratospheres and the stellar flux on the planet, suggesting
that close-in EGPs bifurcate into two groups: those with and without
stratospheres. From the finding that TrES-1 shows no signs of a stratosphere,
while HD 209458b does, we estimate the magnitude of this stellar flux
breakpoint. We find that the heat redistribution parameter, P$_n$, for the
family of close-in EGPs assumes values from $\sim$0.1 to $\sim$0.4. This paper
provides a broad theoretical context for the future direct characterization of
EGPs in tight orbits around their illuminating stars.
| astro-ph | we present theoretical atmosphere spectral and lightcurve models for extrasolar giant planets egps undergoing strong irradiation for which it spitzer planetstar contrast ratios or light curves have been published circa june 2007 these include hd 209458b hd 189733b tres1 hd 149026b hd 179949b and upsilon and b by comparing models with data we find that a number of egp atmospheres experience thermal inversions and have stratospheres this is particularly true for hd 209458b hd 149026b and upsilon and b this finding translates into qualitative changes in the planetstar contrast ratios at secondary eclipse and in closein egp orbital light curves moreover the presence of atmospheric water in abundance is fully consistent with all the it spitzer data for the measured planets for planets with stratospheres water absorption features invert into emission features and midinfrared fluxes can be enhanced by a factor of two in addition the character of nearinfrared planetary spectra can be radically altered we derive a correlation between the importance of such stratospheres and the stellar flux on the planet suggesting that closein egps bifurcate into two groups those with and without stratospheres from the finding that tres1 shows no signs of a stratosphere while hd 209458b does we estimate the magnitude of this stellar flux breakpoint we find that the heat redistribution parameter p_n for the family of closein egps assumes values from sim01 to sim04 this paper provides a broad theoretical context for the future direct characterization of egps in tight orbits around their illuminating stars | [['we', 'present', 'theoretical', 'atmosphere', 'spectral', 'and', 'lightcurve', 'models', 'for', 'extrasolar', 'giant', 'planets', 'egps', 'undergoing', 'strong', 'irradiation', 'for', 'which', 'it', 'spitzer', 'planetstar', 'contrast', 'ratios', 'or', 'light', 'curves', 'have', 'been', 'published', 'circa', 'june', '2007', 'these', 'include', 'hd', '209458b', 'hd', '189733b', 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709.4081 | Non-rotating and rotating neutron stars in the extended field
theoretical model | We study the properties of non-rotating and rotating neutron stars for a new
set of equations of state (EOSs) with different high density behaviour obtained
using the extended field theoretical model. The high density behaviour for
these EOSs are varied by varying the $\omega-$meson self-coupling and
hyperon-meson couplings in such a way that the quality of fit to the bulk
nuclear observables, nuclear matter incompressibility coefficient and
hyperon-nucleon potential depths remain practically unaffected. We find that
the largest value for maximum mass for the non-rotating neutron star is
$2.1M_\odot$. The radius for the neutron star with canonical mass is $12.8 -
14.1$ km provided only those EOSs are considered for which maximum mass is
larger than $1.6M_\odot$ as it is the lower bound on the maximum mass measured
so far. Our results for the very recently discovered fastest rotating neutron
star indicate that this star is supra massive with mass $1.7 - 2.7M_\odot$ and
circumferential equatorial radius $12 - 19$ km.
| nucl-th astro-ph | we study the properties of nonrotating and rotating neutron stars for a new set of equations of state eoss with different high density behaviour obtained using the extended field theoretical model the high density behaviour for these eoss are varied by varying the omegameson selfcoupling and hyperonmeson couplings in such a way that the quality of fit to the bulk nuclear observables nuclear matter incompressibility coefficient and hyperonnucleon potential depths remain practically unaffected we find that the largest value for maximum mass for the nonrotating neutron star is 21m_odot the radius for the neutron star with canonical mass is 128 141 km provided only those eoss are considered for which maximum mass is larger than 16m_odot as it is the lower bound on the maximum mass measured so far our results for the very recently discovered fastest rotating neutron star indicate that this star is supra massive with mass 17 27m_odot and circumferential equatorial radius 12 19 km | [['we', 'study', 'the', 'properties', 'of', 'nonrotating', 'and', 'rotating', 'neutron', 'stars', 'for', 'a', 'new', 'set', 'of', 'equations', 'of', 'state', 'eoss', 'with', 'different', 'high', 'density', 'behaviour', 'obtained', 'using', 'the', 'extended', 'field', 'theoretical', 'model', 'the', 'high', 'density', 'behaviour', 'for', 'these', 'eoss', 'are', 'varied', 'by', 'varying', 'the', 'omegameson', 'selfcoupling', 'and', 'hyperonmeson', 'couplings', 'in', 'such', 'a', 'way', 'that', 'the', 'quality', 'of', 'fit', 'to', 'the', 'bulk', 'nuclear', 'observables', 'nuclear', 'matter', 'incompressibility', 'coefficient', 'and', 'hyperonnucleon', 'potential', 'depths', 'remain', 'practically', 'unaffected', 'we', 'find', 'that', 'the', 'largest', 'value', 'for', 'maximum', 'mass', 'for', 'the', 'nonrotating', 'neutron', 'star', 'is', '21m_odot', 'the', 'radius', 'for', 'the', 'neutron', 'star', 'with', 'canonical', 'mass', 'is', '128', '141', 'km', 'provided', 'only', 'those', 'eoss', 'are', 'considered', 'for', 'which', 'maximum', 'mass', 'is', 'larger', 'than', '16m_odot', 'as', 'it', 'is', 'the', 'lower', 'bound', 'on', 'the', 'maximum', 'mass', 'measured', 'so', 'far', 'our', 'results', 'for', 'the', 'very', 'recently', 'discovered', 'fastest', 'rotating', 'neutron', 'star', 'indicate', 'that', 'this', 'star', 'is', 'supra', 'massive', 'with', 'mass', '17', '27m_odot', 'and', 'circumferential', 'equatorial', 'radius', '12', '19', 'km']] | [-0.08287087959661797, 0.21156368693749456, -0.051929812784059136, 0.08083822137287146, -0.08930075997958266, -0.07811031268933151, 0.025356212663287414, 0.3191480788968126, -0.1427482389727065, -0.3721086696450469, 0.07449322587389004, -0.2991691843806943, 0.010619330698848243, 0.22775821066962532, 0.02504828603808544, 0.04979336956087456, 0.07079781033688143, 0.07631494442614008, -0.11865179691776115, -0.20896618028734648, 0.3141187356219073, 0.05682534376112155, 0.2049491752080525, 0.036498219084253984, 0.049061356950109186, -0.06047693837604992, 0.03490180334465319, 0.004374144259910983, -0.2051968586747074, 0.022171788527689213, 0.1925495218093613, 0.11716336358185339, 0.15406390891375044, -0.34117682496250806, -0.20889000941651484, 0.060710893495927884, 0.12536480713450007, 0.07609312152239506, -0.08224159101086162, -0.2318490015584504, 0.11351478056784327, -0.24738687383087613, -0.18677479217029352, -0.03375836404901045, 0.08497482012512304, 0.04327548031630348, -0.27336315332419725, 0.14412409234777257, -0.00433408561946612, 0.012163480364310827, -0.1257492738607917, -0.21207388768656343, -0.05683873839900369, 0.03430053715806313, 0.0698736776130663, 0.0836992054246366, 0.16405967948368833, -0.1418755189486178, 0.023848243237508438, 0.3762695950078719, -0.07097534875614242, -0.10902922138383117, 0.17112332973717653, -0.20431485831666785, -0.12581279368693882, 0.1389100899701773, 0.13738272434595641, 0.1585078808255022, -0.16108710742319782, -0.0033845803891956994, -0.04228156710911507, 0.20208924246327126, 0.09094155318681386, 0.031379784044774275, 0.29295015483623066, 0.18307669982358318, 0.025258722567718616, 0.04423034210583266, -0.17366045988105897, -0.09426929624279655, -0.23547746426030947, -0.07129261707643908, -0.13665370715051134, 0.04519388965431224, -0.15402784309596046, -0.09487101207767272, 0.3109688467192876, 0.08064999135470466, 0.17827647877267644, 0.041329420464374184, 0.2589167897306571, 0.10847403563471007, 0.08568032716085569, 0.14675383142466786, 0.3679224809195516, 0.23123567235579454, 0.07124468739898994, -0.2649808918756633, 0.02165130624485709, 0.011167088732759975] |
709.4082 | New approximate radial wave functions for power-law potentials | Radial wave functions for power-law potentials are approximated with the help
of power-law substitution and explicit summation of the leading constituent WKB
series. Our approach reproduces the correct behavior of the wave functions at
the origin, at the turning points and far away from the turning points
| math-ph math.MP quant-ph | radial wave functions for powerlaw potentials are approximated with the help of powerlaw substitution and explicit summation of the leading constituent wkb series our approach reproduces the correct behavior of the wave functions at the origin at the turning points and far away from the turning points | [['radial', 'wave', 'functions', 'for', 'powerlaw', 'potentials', 'are', 'approximated', 'with', 'the', 'help', 'of', 'powerlaw', 'substitution', 'and', 'explicit', 'summation', 'of', 'the', 'leading', 'constituent', 'wkb', 'series', 'our', 'approach', 'reproduces', 'the', 'correct', 'behavior', 'of', 'the', 'wave', 'functions', 'at', 'the', 'origin', 'at', 'the', 'turning', 'points', 'and', 'far', 'away', 'from', 'the', 'turning', 'points']] | [-0.09532199398753174, 0.0670283064840639, -0.14679489228279985, 0.09735162963377351, -0.04343653572326962, -0.09867090248364083, 0.09531039015409794, 0.31411665935624156, -0.25104304502143504, -0.2465453887794246, 0.02837856720261117, -0.3829084878410906, -0.12855680901160899, 0.1868478019345314, 0.10073231398425203, 0.07374823261844984, -0.037204223784043436, 0.015903275955389155, -0.11450658199634958, -0.160787539794407, 0.3517736642363858, 0.059277534623570896, 0.2166903534151138, 0.02157825776474907, 0.07049555132324074, 0.008703824915388163, -0.0009271073491966471, -0.047677166799598554, -0.0749969069320867, 0.06289742134035901, 0.17774251955462264, 0.03170429796792884, 0.2199013593032005, -0.45317212294073816, -0.2232922428148858, 0.05140225615035346, 0.19625642526141823, 0.09963173125969603, 0.001703314502981115, -0.26999598432411537, 0.0486359439215603, -0.12103570684632088, -0.2867437900896085, -0.08821263550681636, 0.019651271184866734, 0.12016790356744636, -0.25987315652495685, 0.1251035100443566, 0.015693717695614125, 0.06196200152106108, -0.07554941825529045, -0.15050205523940793, -0.05001767274448054, 0.15556838050326136, 0.11029011944427769, 0.07168517665977174, 0.11751587764221302, -0.1022002533514132, -0.05338730633338081, 0.3481649110054082, -0.03041518780779331, -0.16453675121227476, 0.1564821444768855, -0.19378523956587973, -0.05938726231614326, 0.21193042873068058, 0.1136601043349885, 0.08908543892160177, -0.10066306579144711, 0.10050441126309415, 0.04945485097754925, 0.0965611102614314, 0.1586727900182868, 0.001868681031021666, 0.26045466963439545, 0.05414384781838732, -0.012850359597421706, 0.10728597779698829, -0.06135703413251867, -0.1454699879631083, -0.3801698024840431, -0.05187142392660075, -0.2198540941277083, 0.011695490359264288, -0.1538040512928769, -0.20724207076118353, 0.45403107859075387, 0.0871858953082181, 0.22133778059419165, 0.12650925083521833, 0.2391065038106543, 0.24074507922062927, 0.06447864613158906, 0.0790217570128276, 0.2272445972057733, 0.057336061974947755, 0.10634457082190413, -0.21551572925292273, 0.04064709642664232, 0.1070794694799375] |
709.4083 | Molecular fluorine chemistry in the early Universe | Some models of Big Bang nucleosynthesis suggest that very high baryon density
regions were formed in the early Universe, and generated the production of
heavy elements other than lithium such as fluorine F. We present a
comprehensive chemistry of fluorine in the post-recombination epoch.
Calculation of F, F- and HF abundances, as a function of redshift z, are
carried out. The main result is that the chemical conditions in the early
Universe can lead to the formation of HF. The final abundance of the diatomic
molecule HF is predicted to be close to 3.75 10(-17) when the initial abundance
of neutral fluorine F is 10(-15). These results indicate that molecules of
fluorine HF were already present during the dark age. This could have
implications on the evolution of proto-objects and on the anisotropies of
cosmic microwave background radiation. Hydride of fluorine HF may affect
enhancement of the emission line intensity from the proto-objects and could
produce spectral-spatial fluctuations.
| astro-ph | some models of big bang nucleosynthesis suggest that very high baryon density regions were formed in the early universe and generated the production of heavy elements other than lithium such as fluorine f we present a comprehensive chemistry of fluorine in the postrecombination epoch calculation of f f and hf abundances as a function of redshift z are carried out the main result is that the chemical conditions in the early universe can lead to the formation of hf the final abundance of the diatomic molecule hf is predicted to be close to 375 1017 when the initial abundance of neutral fluorine f is 1015 these results indicate that molecules of fluorine hf were already present during the dark age this could have implications on the evolution of protoobjects and on the anisotropies of cosmic microwave background radiation hydride of fluorine hf may affect enhancement of the emission line intensity from the protoobjects and could produce spectralspatial fluctuations | [['some', 'models', 'of', 'big', 'bang', 'nucleosynthesis', 'suggest', 'that', 'very', 'high', 'baryon', 'density', 'regions', 'were', 'formed', 'in', 'the', 'early', 'universe', 'and', 'generated', 'the', 'production', 'of', 'heavy', 'elements', 'other', 'than', 'lithium', 'such', 'as', 'fluorine', 'f', 'we', 'present', 'a', 'comprehensive', 'chemistry', 'of', 'fluorine', 'in', 'the', 'postrecombination', 'epoch', 'calculation', 'of', 'f', 'f', 'and', 'hf', 'abundances', 'as', 'a', 'function', 'of', 'redshift', 'z', 'are', 'carried', 'out', 'the', 'main', 'result', 'is', 'that', 'the', 'chemical', 'conditions', 'in', 'the', 'early', 'universe', 'can', 'lead', 'to', 'the', 'formation', 'of', 'hf', 'the', 'final', 'abundance', 'of', 'the', 'diatomic', 'molecule', 'hf', 'is', 'predicted', 'to', 'be', 'close', 'to', '375', '1017', 'when', 'the', 'initial', 'abundance', 'of', 'neutral', 'fluorine', 'f', 'is', '1015', 'these', 'results', 'indicate', 'that', 'molecules', 'of', 'fluorine', 'hf', 'were', 'already', 'present', 'during', 'the', 'dark', 'age', 'this', 'could', 'have', 'implications', 'on', 'the', 'evolution', 'of', 'protoobjects', 'and', 'on', 'the', 'anisotropies', 'of', 'cosmic', 'microwave', 'background', 'radiation', 'hydride', 'of', 'fluorine', 'hf', 'may', 'affect', 'enhancement', 'of', 'the', 'emission', 'line', 'intensity', 'from', 'the', 'protoobjects', 'and', 'could', 'produce', 'spectralspatial', 'fluctuations']] | [-0.07468197462767881, 0.15994945208282693, -0.04128651800742255, 0.06661234049073456, 0.009006329322870396, -0.045699276024169184, 0.04703999985498671, 0.37004682962205027, -0.19090440407796186, -0.3279914491031838, 0.00015831898818311247, -0.30699074078539884, 0.01253299910834507, 0.15436877609713923, 0.03419948729120572, -0.03565894082170923, 0.05053990324104464, -0.000178845006901818, -0.04128798311036537, -0.2688681713122686, 0.2889516742876436, 0.12429399444438706, 0.21704072162178875, 0.06307603246607903, -0.012751482297442381, -0.15562795081523637, -0.024030606867671837, -0.04986377001468894, -0.1265766081669426, 0.0638614447442579, 0.24677820539181994, 0.145728386398263, 0.19253071513810915, -0.44184699746827255, -0.2551550202932256, 0.12032842164552665, 0.15675083387796354, 0.15285629269820225, -0.12638577477720234, -0.24313492550738627, 0.06659136554101022, -0.13927559134523868, -0.12930330449620944, 0.005806497771210403, -0.004239408075337923, 0.0628019262111121, -0.25488911048638857, 0.11812249073741038, -0.012162677246872394, 0.04077914663475549, -0.09251781731484388, -0.17863463766024082, -0.11494285658685656, 0.03998701335641974, 0.05286458546230923, 0.06438706613357968, 0.21780413367101759, -0.0982711646879752, 0.011856753225850909, 0.41862080985963157, -0.17573438238404482, -0.015302739954919, 0.19842181623989977, -0.20820192976624857, -0.21308320375230116, 0.15802811980070663, 0.11882169147190061, 0.10669737927839631, -0.13173964150926715, 0.09202532326696511, 0.043579618771460285, 0.1886688363487844, 0.09704531721853285, 0.043506895594263476, 0.2795828518552022, 0.1460498891538009, -0.0008902576423391606, 0.04987442383028366, -0.10789847397245467, 0.0004264549764839909, -0.2560900060321452, -0.17456003675337503, -0.10201868169375142, 0.08612031522914296, -0.08572800175096734, -0.16389995662766638, 0.3685880319769435, 0.12964132198948955, 0.21485103522368434, -0.07813222604343974, 0.2603271869571196, 0.07110924532937617, 0.01860726380697157, 0.003918832645433236, 0.28797582557953194, 0.1656070598504282, 0.08026508497416124, -0.2609802602386527, 0.13340587075799704, 0.01578673418711494] |
709.4084 | Upper bounds of Hilbert coefficients and Hilbert functions | Let $(R, m)$ be a $d$-dimensional Cohen-Macaulay local ring.
In this note we prove, in a very elementary way, an upper bound of the first
normalized Hilbert coefficient of a $m$-primary ideal $I\subset R$ that
improves all known upper bounds unless for a finite number of cases. We also
provide new upper bounds of the Hilbert functions of $I$ extending the known
bounds for the maximal ideal.
| math.AC | let r m be a ddimensional cohenmacaulay local ring in this note we prove in a very elementary way an upper bound of the first normalized hilbert coefficient of a mprimary ideal isubset r that improves all known upper bounds unless for a finite number of cases we also provide new upper bounds of the hilbert functions of i extending the known bounds for the maximal ideal | [['let', 'r', 'm', 'be', 'a', 'ddimensional', 'cohenmacaulay', 'local', 'ring', 'in', 'this', 'note', 'we', 'prove', 'in', 'a', 'very', 'elementary', 'way', 'an', 'upper', 'bound', 'of', 'the', 'first', 'normalized', 'hilbert', 'coefficient', 'of', 'a', 'mprimary', 'ideal', 'isubset', 'r', 'that', 'improves', 'all', 'known', 'upper', 'bounds', 'unless', 'for', 'a', 'finite', 'number', 'of', 'cases', 'we', 'also', 'provide', 'new', 'upper', 'bounds', 'of', 'the', 'hilbert', 'functions', 'of', 'i', 'extending', 'the', 'known', 'bounds', 'for', 'the', 'maximal', 'ideal']] | [-0.1913967411270115, 0.09897042996681872, -0.08883848909372047, 0.04292576974640086, -0.04984007009179957, -0.18181987343105807, 0.028914999578203728, 0.24224933241702504, -0.27137644706405145, -0.22102762363962272, 0.11417376641670603, -0.2289769933628502, -0.08965246237678898, 0.26638316497582, -0.07162549699753967, -0.0181236156165155, 0.010960023641697507, 0.10345398525945466, -0.09316096218205544, -0.34396743463046514, 0.292066696308442, 0.04423864377634739, 0.17290489254658348, 0.09405444014761875, 0.05799016199394393, -0.020612224102465073, -0.02456304784725184, 0.017460094231593296, -0.28152468816236914, 0.1668157433229151, 0.28933027472847433, 0.11961231975287978, 0.23432640356025589, -0.3812168742905357, -0.08806435049358588, 0.23606447119668905, 0.1969359125246975, -0.011642795042204323, -0.0134316583358641, -0.1901340078312292, 0.11377155377682466, -0.18060964234729313, -0.19337391590616151, -0.031924793767784516, 0.11913779791472341, 0.02380414954221585, -0.3675776367395449, 0.0034235678226582763, 0.1828935570014057, 0.09063074786655619, -0.04353433893993497, -0.1540231986193737, 0.015086493607777269, 0.03249779037797629, -0.09906600054297875, 0.0036866101575320337, 0.03507759009223821, -0.10496347067432839, -0.08141151412543077, 0.3080767139431034, -0.16934119705493048, -0.21684198105471458, 0.11600939757121143, -0.21696718740485496, -0.11773873342951732, 0.07485939107779692, 0.1029963508985047, 0.18734773066339652, -0.07645803411949927, 0.240586568087117, -0.22788225937245496, 0.08714968338608742, 0.06820109115440899, 0.11769845846122992, 0.1104321236958477, 0.08216073120763498, 0.1818395270257945, 0.1837700748340046, -0.03172683116715791, 0.04292861163032366, -0.40964927101757986, -0.20263433066950834, -0.2327946884185771, 0.11896325372604293, -0.15837211223708383, -0.15553309630129986, 0.34321070848199636, 0.10609551895854634, 0.22445035424194673, 0.148076669702223, 0.25142724388070514, 0.09496877594058638, -0.017338798937401666, 0.17195695179945497, 0.16161405939414208, 0.18001958613853847, -0.07135355425998569, -0.11258284022002968, 0.03793129575814107, 0.18693478219906118] |
709.4085 | Localization-delocalization transition in 2D quantum percolation model | We study the hopping transport of a quantum particle through randomly diluted
percolation clusters in two dimensions realized both on the square and
triangular lattices. We investigate the nature of localization of the particle
by calculating the transmission coefficient as a function of energy (-2 < E < 2
in units of the hopping integral in the tight-binding Hamiltonian) and
disorder, q (probability that a given site of the lattice is not available to
the particle). Our study based on finite size scaling suggests the existence of
delocalized states that depends on energy and amount of disorder present in the
system. For energies away from the band center (E = 0), delocalized states
appear only at low disorder (q < 15%). The transmission near the band center is
generally very small for any amount of disorder and therefore makes it
difficult to locate the transition to delocalized states if any, but our study
does indicate a behavior that is weaker than power-law localization. Apart from
this localization-delocalization transition, we also find the existence of two
different kinds of localization regimes depending on energy and amount of
disorder. For a given energy, states are exponentially localized for
sufficiently high disorder. As the disorder decreases, states first show
power-law localization before showing a delocalized behavior.
| cond-mat.dis-nn cond-mat.stat-mech | we study the hopping transport of a quantum particle through randomly diluted percolation clusters in two dimensions realized both on the square and triangular lattices we investigate the nature of localization of the particle by calculating the transmission coefficient as a function of energy 2 e 2 in units of the hopping integral in the tightbinding hamiltonian and disorder q probability that a given site of the lattice is not available to the particle our study based on finite size scaling suggests the existence of delocalized states that depends on energy and amount of disorder present in the system for energies away from the band center e 0 delocalized states appear only at low disorder q 15 the transmission near the band center is generally very small for any amount of disorder and therefore makes it difficult to locate the transition to delocalized states if any but our study does indicate a behavior that is weaker than powerlaw localization apart from this localizationdelocalization transition we also find the existence of two different kinds of localization regimes depending on energy and amount of disorder for a given energy states are exponentially localized for sufficiently high disorder as the disorder decreases states first show powerlaw localization before showing a delocalized behavior | [['we', 'study', 'the', 'hopping', 'transport', 'of', 'a', 'quantum', 'particle', 'through', 'randomly', 'diluted', 'percolation', 'clusters', 'in', 'two', 'dimensions', 'realized', 'both', 'on', 'the', 'square', 'and', 'triangular', 'lattices', 'we', 'investigate', 'the', 'nature', 'of', 'localization', 'of', 'the', 'particle', 'by', 'calculating', 'the', 'transmission', 'coefficient', 'as', 'a', 'function', 'of', 'energy', '2', 'e', '2', 'in', 'units', 'of', 'the', 'hopping', 'integral', 'in', 'the', 'tightbinding', 'hamiltonian', 'and', 'disorder', 'q', 'probability', 'that', 'a', 'given', 'site', 'of', 'the', 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709.4086 | An Extension of Mok's Theorem on the Generalized Frankel Conjecture | In this paper, we will give an extension of Mok's theorem on the generalized
Frankel conjecture under the condition of the orthogonal bisectional curvature.
| math.DG | in this paper we will give an extension of moks theorem on the generalized frankel conjecture under the condition of the orthogonal bisectional curvature | [['in', 'this', 'paper', 'we', 'will', 'give', 'an', 'extension', 'of', 'moks', 'theorem', 'on', 'the', 'generalized', 'frankel', 'conjecture', 'under', 'the', 'condition', 'of', 'the', 'orthogonal', 'bisectional', 'curvature']] | [-0.26170130795799196, 0.06082712030971985, -0.17175030087431273, 0.028728476080383796, -0.0883695719918857, -0.11071924896289904, -0.03565169932456532, 0.2987963439275821, -0.228242013293008, -0.14981641650471525, 0.12485861133609433, -0.17594416846016733, -0.20892446930520236, 0.1959736259886995, -0.19982136629793482, -0.03416737960651517, 0.0461110573184366, 0.07230402061638112, -0.06993841837781171, -0.30570286357154447, 0.41453403048217297, 0.05291435005832076, 0.28189885154521716, 0.2227391868630851, 0.09677868130772065, 0.06316504334487642, 0.009442071857241293, -0.040777219381804265, -0.26941961956132826, 0.12689741584472358, 0.16129181192566952, 0.13420883703899258, 0.2534178976590435, -0.38338758000948775, -0.11405529804566565, 0.19455856271088123, 0.09586890396894887, 0.014607297130472338, -0.017792531313413445, -0.28131180815398693, 0.1346074431979408, -0.10362211250079174, -0.27120140140565735, -0.02476345367419223, -0.0854733899468556, -0.0556537524680607, -0.25969557169203955, 0.06883128484090169, 0.24517796305008233, 0.07438769924920052, -0.09559794515371323, -0.09100375068373978, 0.04889293534991642, -0.03839373813631634, 0.04536073274600009, 0.02759252645773813, -0.024229608408253018, -0.002544908464187756, -0.1008042807225138, 0.3110415750804047, -0.13277900905814022, -0.3091550095317264, 0.034458350855857134, -0.07748919676911707, -0.2195752814101676, 0.028100519654496264, 0.16976131149567664, 0.1536289161692063, -0.06471051865567763, 0.17222562005432943, -0.18483597971498966, 0.03372109805544218, 0.18831191662078103, 0.009437589440494776, 0.10791370823668937, 0.021416725280384224, 0.1950079061789438, 0.2002128264090667, -0.01898867779527791, -0.011862634060283503, -0.3930613286793232, -0.24077239275599518, -0.14527356281178072, 0.1807343216302494, -0.1147135163967808, -0.1781945051625371, 0.4034352737944573, 0.08218752641308431, 0.10881097319846351, 0.17392464243069602, 0.24935196491423994, 0.0989273408971106, 0.0008783825129891435, 0.05994503673476478, 0.20053877999695638, 0.27039378175201517, 0.07670816113629068, -0.10892958364759882, -0.03383577355028441, 0.16766545129939914] |
709.4087 | The Topology of Bendless Three-Dimensional Orthogonal Graph Drawing | We consider embeddings of 3-regular graphs into 3-dimensional Cartesian
coordinates, in such a way that two vertices are adjacent if and only if two of
their three coordinates are equal (that is, if they lie on an axis-parallel
line) and such that no three points lie on the same axis-parallel line; we call
a graph with such an embedding an xyz graph}. We describe a correspondence
between xyz graphs and face-colored embeddings of the graph onto
two-dimensional manifolds, and we relate bipartiteness of the xyz graph to
orientability of the underlying topological surface. Using this correspondence,
we show that planar graphs are xyz graphs if and only if they are bipartite,
cubic, and three-connected, and that it is NP-complete to determine whether an
arbitrary graph is an xyz graph. We also describe an algorithm with running
time O(n 2^{n/2}) for testing whether a given graph is an xyz graph.
| cs.CG math.CO | we consider embeddings of 3regular graphs into 3dimensional cartesian coordinates in such a way that two vertices are adjacent if and only if two of their three coordinates are equal that is if they lie on an axisparallel line and such that no three points lie on the same axisparallel line we call a graph with such an embedding an xyz graph we describe a correspondence between xyz graphs and facecolored embeddings of the graph onto twodimensional manifolds and we relate bipartiteness of the xyz graph to orientability of the underlying topological surface using this correspondence we show that planar graphs are xyz graphs if and only if they are bipartite cubic and threeconnected and that it is npcomplete to determine whether an arbitrary graph is an xyz graph we also describe an algorithm with running time on 2n2 for testing whether a given graph is an xyz graph | [['we', 'consider', 'embeddings', 'of', '3regular', 'graphs', 'into', '3dimensional', 'cartesian', 'coordinates', 'in', 'such', 'a', 'way', 'that', 'two', 'vertices', 'are', 'adjacent', 'if', 'and', 'only', 'if', 'two', 'of', 'their', 'three', 'coordinates', 'are', 'equal', 'that', 'is', 'if', 'they', 'lie', 'on', 'an', 'axisparallel', 'line', 'and', 'such', 'that', 'no', 'three', 'points', 'lie', 'on', 'the', 'same', 'axisparallel', 'line', 'we', 'call', 'a', 'graph', 'with', 'such', 'an', 'embedding', 'an', 'xyz', 'graph', 'we', 'describe', 'a', 'correspondence', 'between', 'xyz', 'graphs', 'and', 'facecolored', 'embeddings', 'of', 'the', 'graph', 'onto', 'twodimensional', 'manifolds', 'and', 'we', 'relate', 'bipartiteness', 'of', 'the', 'xyz', 'graph', 'to', 'orientability', 'of', 'the', 'underlying', 'topological', 'surface', 'using', 'this', 'correspondence', 'we', 'show', 'that', 'planar', 'graphs', 'are', 'xyz', 'graphs', 'if', 'and', 'only', 'if', 'they', 'are', 'bipartite', 'cubic', 'and', 'threeconnected', 'and', 'that', 'it', 'is', 'npcomplete', 'to', 'determine', 'whether', 'an', 'arbitrary', 'graph', 'is', 'an', 'xyz', 'graph', 'we', 'also', 'describe', 'an', 'algorithm', 'with', 'running', 'time', 'on', '2n2', 'for', 'testing', 'whether', 'a', 'given', 'graph', 'is', 'an', 'xyz', 'graph']] | [-0.16924288104967894, 0.10834666862255954, -0.02743470324895571, 0.06647137570040729, -0.12326577683356968, -0.15050578323771824, -0.011937539930128166, 0.5054189983025394, -0.27232722049528685, -0.26926095880618367, 0.09708929542889441, -0.33833988022524863, -0.17457803975274735, 0.13836188328678947, -0.06647055299411453, -0.008462440977628166, 0.10164906766668365, 0.11802458968265234, -0.029389057264386398, -0.27914327641986814, 0.3632844039144599, -0.12080840724111358, 0.16456395032740123, 0.07960742237864414, 0.11427432475485713, 0.04318251748053307, 0.058515343931503594, 0.10424636599192447, -0.17486309557111904, 0.08244106583132069, 0.22589192873439626, 0.17965353878428908, 0.16547356397416946, -0.4174426573806921, -0.10459414351026754, 0.23514708643149887, 0.13808096790799518, 0.06166147131856682, 0.0033810155810725345, -0.23922113543124618, 0.12119143647362, -0.0782311692192043, -0.04828961387377333, -0.032289170162953636, 0.08679283713305218, -0.011804318766587892, -0.2136063682846725, -0.09584245743482481, 0.1274348906920971, 0.055200367303867195, 0.02343744712384619, -0.09178237119261679, -0.06531023899269467, 0.13007574023779583, -0.08902544163661455, 0.07636994505112336, 0.017339999359604473, -0.08851357058518113, -0.21259140795902223, 0.40307009449178305, 0.006949049326263972, -0.2677972335651567, 0.15130935867892806, -0.11391913637242003, -0.2274914263823145, 0.04733992639041783, 0.1401516764386985, 0.10965813259355019, -0.11423839310284804, 0.13565108806840334, -0.14617908600013, 0.1537539829260896, 0.08677950527556744, -0.019723291692128907, 0.18035630840883665, 0.11197950421656305, 0.1430652137008823, 0.15901258410382513, -0.012122214741916774, -0.023620282192840368, -0.3118366126971621, -0.16216503113753641, -0.25751753574602204, 0.06632606902260434, -0.21098072214511843, -0.2242723875175658, 0.4092004296520876, 0.10170570132951881, 0.23943511674411097, 0.0552754441112582, 0.20768599627489173, 0.052391865532971114, 0.0075615680433583216, 0.19594116019701735, 0.13600814031795724, 0.13679089477738818, -0.05436379059431823, -0.1299496887289491, 0.007920697814394796, 0.1280460442303101] |
709.4088 | In Situ Experiment and Modelling of RC-Structure Using Ambient Vibration
and Timoshenko Beam | Recently, several experiments were reported using ambient vibration surveys
in buildings to estimate the modal parameters of buildings. Their modal
properties are full of relevant information concerning its dynamic behaviour in
its elastic domain. The main scope of this paper is to determine relevant,
though simple, beam modelling whose validity could be easily checked with
experimental data. In this study, we recorded ambient vibrations in 3 buildings
in Grenoble selected because of their vertical structural homogeneity. First, a
set of recordings was done using a 18 channels digital acquisition system
(CityShark) connected to six 3C Lennartz 5s sensors. We used the Frequency
Domain Decomposition (FDD) technique to extract the modal parameters of these
buildings. Second, it is shown in the following that the experimental
quasi-elastic behaviour of such structure can be reduced to the behaviour of a
vertical continuous Timoshenko beam. A parametric study of this beam shows that
a bijective relation exists between the beam parameters and its
eigenfrequencies distribution. Consequently, the Timoshenko beam parameters can
be estimated from the experimental sequence of eigenfrequencies. Having the
beam parameters calibrated by the in situ data, the reliability of the
modelling is checked by complementary comparisons. For this purpose, the mode
shapes and eigenfrequencies of higher modes are calculated and compared to the
experimental data. A good agreement is also obtained. In addition, the beam
model integrates in a very synthetic way the essential parameters of the
dynamic behaviour.
| physics.geo-ph physics.class-ph | recently several experiments were reported using ambient vibration surveys in buildings to estimate the modal parameters of buildings their modal properties are full of relevant information concerning its dynamic behaviour in its elastic domain the main scope of this paper is to determine relevant though simple beam modelling whose validity could be easily checked with experimental data in this study we recorded ambient vibrations in 3 buildings in grenoble selected because of their vertical structural homogeneity first a set of recordings was done using a 18 channels digital acquisition system cityshark connected to six 3c lennartz 5s sensors we used the frequency domain decomposition fdd technique to extract the modal parameters of these buildings second it is shown in the following that the experimental quasielastic behaviour of such structure can be reduced to the behaviour of a vertical continuous timoshenko beam a parametric study of this beam shows that a bijective relation exists between the beam parameters and its eigenfrequencies distribution consequently the timoshenko beam parameters can be estimated from the experimental sequence of eigenfrequencies having the beam parameters calibrated by the in situ data the reliability of the modelling is checked by complementary comparisons for this purpose the mode shapes and eigenfrequencies of higher modes are calculated and compared to the experimental data a good agreement is also obtained in addition the beam model integrates in a very synthetic way the essential parameters of the dynamic behaviour | [['recently', 'several', 'experiments', 'were', 'reported', 'using', 'ambient', 'vibration', 'surveys', 'in', 'buildings', 'to', 'estimate', 'the', 'modal', 'parameters', 'of', 'buildings', 'their', 'modal', 'properties', 'are', 'full', 'of', 'relevant', 'information', 'concerning', 'its', 'dynamic', 'behaviour', 'in', 'its', 'elastic', 'domain', 'the', 'main', 'scope', 'of', 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709.4089 | Quasi-binarity of massive stars in young dense clusters - the case of
the ONC | Observations indicate that in young stellar clusters the binary fraction for
massive stars is higher than for solar mass stars. For the Orion Nebula Cluster
(ONC) there is a binary frequency of ~ 50% for solar-mass stars compared to
70-100% for the massive O- and B-stars. We explore the reasons for this
discrepancy and come up with two possible answers: a) a primordially higher
binarity of massive stars could be inherent to the star formation process or b)
the primordial binary rate might be the same for solar-mass and massive stars,
but the higher capture cross section of the massive stars possibly leads to the
formation of additional massive binaries in the early cluster development. Here
we investigate the likelihood of the latter using the ONC as an example. N-body
simulations are performed to track the capture events in an ONC-like cluster.
We find that whereas low-mass stars rarely form bound systems through capture,
the dynamics of the massive stars - especially in the first 0.5 Myrs - is
dominated by a rapid succession of ``transient binary or multiple systems''. In
observations the transient nature of these systems would not be apparent, so
that they would be rated as binaries. At 1-2 Myrs, the supposed age of the ONC,
the ``transient'' massive systems become increasingly stable, lasting on
average several 10^6 yrs. Despite the ONC being so young, the observed binary
frequency for massive stars -- unlike that of solar-mass stars -- is not
identical to the primordial binary frequency but is increased by at least
10-15% through dynamical interaction processes. This value might be increased
to at least 20-25% by taking disc effects into account. The primordial binary
frequency could well be the same for massive and solar mass stars because the
observed difference can be explained by capture processes alone.
| astro-ph | observations indicate that in young stellar clusters the binary fraction for massive stars is higher than for solar mass stars for the orion nebula cluster onc there is a binary frequency of 50 for solarmass stars compared to 70100 for the massive o and bstars we explore the reasons for this discrepancy and come up with two possible answers a a primordially higher binarity of massive stars could be inherent to the star formation process or b the primordial binary rate might be the same for solarmass and massive stars but the higher capture cross section of the massive stars possibly leads to the formation of additional massive binaries in the early cluster development here we investigate the likelihood of the latter using the onc as an example nbody simulations are performed to track the capture events in an onclike cluster we find that whereas lowmass stars rarely form bound systems through capture the dynamics of the massive stars especially in the first 05 myrs is dominated by a rapid succession of transient binary or multiple systems in observations the transient nature of these systems would not be apparent so that they would be rated as binaries at 12 myrs the supposed age of the onc the transient massive systems become increasingly stable lasting on average several 106 yrs despite the onc being so young the observed binary frequency for massive stars unlike that of solarmass stars is not identical to the primordial binary frequency but is increased by at least 1015 through dynamical interaction processes this value might be increased to at least 2025 by taking disc effects into account the primordial binary frequency could well be the same for massive and solar mass stars because the observed difference can be explained by capture processes alone | [['observations', 'indicate', 'that', 'in', 'young', 'stellar', 'clusters', 'the', 'binary', 'fraction', 'for', 'massive', 'stars', 'is', 'higher', 'than', 'for', 'solar', 'mass', 'stars', 'for', 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709.409 | Directed flow as effect of transient matter rotation in hadron and
nucleus collisions | We discuss directed flow introduced for description of nucleus collisions and
consider its possible behavior in hadronic and nuclei reactions due to rotation
of the transient matter.
| hep-ph | we discuss directed flow introduced for description of nucleus collisions and consider its possible behavior in hadronic and nuclei reactions due to rotation of the transient matter | [['we', 'discuss', 'directed', 'flow', 'introduced', 'for', 'description', 'of', 'nucleus', 'collisions', 'and', 'consider', 'its', 'possible', 'behavior', 'in', 'hadronic', 'and', 'nuclei', 'reactions', 'due', 'to', 'rotation', 'of', 'the', 'transient', 'matter']] | [-0.08476224217425894, 0.20409587180862823, -0.10177437409206673, 0.11918251278499763, -0.006397056496805615, -0.07729906069666699, 0.006645093361536662, 0.34031986969488637, -0.2681623631225968, -0.24579224446615963, -0.021124867312782618, -0.28921627898321106, -0.037809447281890445, 0.09577707104660847, -0.007992221594408707, 0.03378689930455207, 0.020991688939156355, 0.04537352108982978, 0.0009897526470012963, -0.12357597467834475, 0.32481084212108896, 0.08480520801687683, 0.1703567368720003, 0.13447486432037462, 0.10608061703128947, 0.06446884663913537, -0.0747049196312825, -0.011300429805285402, -0.18274738601650353, 0.06979893995729206, 0.24085048029061268, 0.08615118786865086, 0.07999067594883619, -0.47299062129524017, -0.22439188372205804, 0.16336666223489577, 0.15316232773302882, 0.14573749730846397, -0.09943610905773109, -0.25482300675853536, 0.04738067198303287, -0.2690249558676172, -0.21808401702178848, -0.10940295012874736, 0.12426233498586549, 0.06681593235892554, -0.1949780742223892, 0.07947370713507687, 0.05698216699615673, 0.05311974286343212, -0.09155584858402747, -0.10722002649196873, 0.006975317580832375, 0.05932031709838797, 0.14400099940529024, 0.004990734832568301, 0.21354154712968954, -0.21643820560658006, -0.1318269507718031, 0.48793442326563374, 0.05219462924395447, -0.05510560816360845, 0.20657352344305427, -0.16452691869603264, -0.14096632499799686, 0.15376405666271845, 0.29897809953049376, 0.1145754768513143, -0.16248445454295035, 0.022533636846303665, 0.035421515297558576, 0.09080639471196467, 0.05129328052754755, 0.04683707209510936, 0.1756852854181219, 0.2234183751322605, 0.014362389273527596, 0.13360526988765709, -0.13321561012762012, -0.10580966273469299, -0.3154132602115472, -0.08711048915844273, -0.07422389255629645, 0.058329851263099246, -0.008771304298770028, -0.09135497461452528, 0.36097656976845527, 0.03963408246636391, 0.25074241393142277, -0.03858241062887289, 0.2415146565288995, 0.027355061533550423, -0.043906959963755474, 0.11617804715340888, 0.3221587444897051, 0.25841117001794, 0.12747366995447212, -0.3250110806138427, 0.0850631396320683, 0.06106132456894826] |
709.4091 | Stellar populations in the center of barred spiral galaxies | We show observations obtained with the integral field spectrometer OASIS for
the central regions of a sample of barred galaxies. The high spatial resolution
of the instrument allows to distinguish various structures within these regions
as defined by stellar populations of different ages and metallicities. From
these data we obtain important clues about the star formation history. But we
advise that, in order to obtain adequately the evolutionary sequence, a
combination of chemical and synthesis models may be necessary.
| astro-ph | we show observations obtained with the integral field spectrometer oasis for the central regions of a sample of barred galaxies the high spatial resolution of the instrument allows to distinguish various structures within these regions as defined by stellar populations of different ages and metallicities from these data we obtain important clues about the star formation history but we advise that in order to obtain adequately the evolutionary sequence a combination of chemical and synthesis models may be necessary | [['we', 'show', 'observations', 'obtained', 'with', 'the', 'integral', 'field', 'spectrometer', 'oasis', 'for', 'the', 'central', 'regions', 'of', 'a', 'sample', 'of', 'barred', 'galaxies', 'the', 'high', 'spatial', 'resolution', 'of', 'the', 'instrument', 'allows', 'to', 'distinguish', 'various', 'structures', 'within', 'these', 'regions', 'as', 'defined', 'by', 'stellar', 'populations', 'of', 'different', 'ages', 'and', 'metallicities', 'from', 'these', 'data', 'we', 'obtain', 'important', 'clues', 'about', 'the', 'star', 'formation', 'history', 'but', 'we', 'advise', 'that', 'in', 'order', 'to', 'obtain', 'adequately', 'the', 'evolutionary', 'sequence', 'a', 'combination', 'of', 'chemical', 'and', 'synthesis', 'models', 'may', 'be', 'necessary']] | [-0.040648008629685574, 0.0698477297526183, -0.12394855521572164, 0.12449108147875795, -0.08093366757789745, -0.03760780140616094, 0.024802419414472636, 0.4402879445424563, -0.20995542124102387, -0.417641229691762, 0.09998094201930857, -0.20128426246092318, -0.058314164617110656, 0.17925568544482695, -0.05262612108483062, -0.025204499689066382, 0.0737125252880439, -0.05032091413895729, -0.026539099099161693, -0.2526137616862602, 0.3329806981101349, 0.056704100274445515, 0.18101235688958742, -0.04699057689573191, 0.09456462379032156, -0.09001553091043725, -0.09545294115249114, 0.007673806994210316, -0.20100943113817565, 0.10081776865180346, 0.2961484147138585, 0.17781537445704157, 0.21927180432985666, -0.4232799335012818, -0.21990516090977796, 0.05626860341127915, 0.18646522805012197, 0.07387234366062699, -0.09900584172080212, -0.2650860655062561, 0.07648242575033934, -0.12937189127418766, -0.14288307836609362, -0.03792124954818547, -0.019015885979604696, 0.07486376013088075, -0.27337340394011406, 0.08232088141214056, 0.01185882991604224, 0.09699141265989482, -0.1381443609001669, -0.12130645422052734, -0.05168243227202351, 0.19974351823447814, -0.026536600782146938, 0.023526445426094004, 0.13268721709912054, -0.15782778879297496, -0.035266583738259125, 0.35887161911099774, -0.050311092294670075, -0.06057964267704306, 0.2668622958155561, -0.24237735907228874, -0.16206043442899856, 0.07361591883781779, 0.16183285794774943, 0.12429433847671445, -0.18397035494541067, 0.008252847395966986, 0.01671086395560186, 0.20714480962745752, 0.03424449694413645, 0.06924330796221201, 0.30459491460572313, 0.12984876465523923, 0.025879920908261703, 0.09091638561332292, -0.16794316665139758, -0.0712864136299755, -0.2338408487789993, -0.12201437427178968, -0.08686977945551087, 0.057964722095411036, -0.15321606655179262, -0.10522079600987932, 0.38695115403897024, 0.16367176625011134, 0.23919107517392574, 0.049123669667994675, 0.2614105072909895, 0.0616812398436161, 0.13193036446088477, 0.02602666861648801, 0.2027713138893058, 0.16349249973574864, 0.07950666339926515, -0.22978110526263998, 0.07875254663013959, 0.007349841998111975] |
709.4092 | Resolution of singularities for multi-loop integrals | We report on a program for the numerical evaluation of divergent multi-loop
integrals. The program is based on iterated sector decomposition. We improve
the original algorithm of Binoth and Heinrich such that the program is
guaranteed to terminate. The program can be used to compute numerically the
Laurent expansion of divergent multi-loop integrals regulated by dimensional
regularisation. The symbolic and the numerical steps of the algorithm are
combined into one program.
| hep-ph | we report on a program for the numerical evaluation of divergent multiloop integrals the program is based on iterated sector decomposition we improve the original algorithm of binoth and heinrich such that the program is guaranteed to terminate the program can be used to compute numerically the laurent expansion of divergent multiloop integrals regulated by dimensional regularisation the symbolic and the numerical steps of the algorithm are combined into one program | [['we', 'report', 'on', 'a', 'program', 'for', 'the', 'numerical', 'evaluation', 'of', 'divergent', 'multiloop', 'integrals', 'the', 'program', 'is', 'based', 'on', 'iterated', 'sector', 'decomposition', 'we', 'improve', 'the', 'original', 'algorithm', 'of', 'binoth', 'and', 'heinrich', 'such', 'that', 'the', 'program', 'is', 'guaranteed', 'to', 'terminate', 'the', 'program', 'can', 'be', 'used', 'to', 'compute', 'numerically', 'the', 'laurent', 'expansion', 'of', 'divergent', 'multiloop', 'integrals', 'regulated', 'by', 'dimensional', 'regularisation', 'the', 'symbolic', 'and', 'the', 'numerical', 'steps', 'of', 'the', 'algorithm', 'are', 'combined', 'into', 'one', 'program']] | [-0.15683129791852454, 0.00786718482177862, -0.17292047880957245, 0.08393410112197236, -0.10351542456888817, -0.08250235177537191, 0.040149331892984856, 0.33475222422833173, -0.28062844370872203, -0.25894014465189735, 0.19002687601818585, -0.23367801801839344, -0.18424163879269184, 0.23054765776114564, -0.035876523355730404, 0.10617363822816962, 0.121774281545634, -0.02596974299407341, -0.04508839040981527, -0.3087430857449875, 0.30572597737568363, 0.06679696783187314, 0.16580778428576362, 0.040361928241983265, 0.1404592793067576, 0.03268423608937104, -0.11008719932681447, 0.024992995783948983, -0.08135011109154963, 0.11707974647657132, 0.25234121335408005, 0.18378709810195673, 0.25118011587732275, -0.4393007753180786, -0.0701573796990052, 0.043664305261008333, 0.18114709626542222, 0.08762688494064438, 0.03932741702153859, -0.2475377382107184, 0.04803049536815412, -0.1521492539314737, -0.11707347782958351, -0.18789091290460086, -0.05935111136870905, -0.023982972037834182, -0.2946023759366551, 0.015918117541242654, -0.017716855519044568, 0.04015410980078536, -0.01906189701559258, -0.12748662470249641, -0.013714478390527442, 0.09156987368798172, 0.045523713113294104, 0.06599638085733626, 0.10548856430916562, -0.08450454502486587, -0.1892642534738013, 0.3270339965295624, -0.059045850924006334, -0.15848687665314007, 0.12820560469055994, -0.1087752609566169, -0.16978979692466453, 0.17449657594076765, 0.1549396812391113, 0.20420738712320446, -0.11754234070548604, 0.14085297097458543, -0.01244972579338601, 0.11994682417684038, 0.07687074330989534, -0.0646106361175402, 0.16110369395202315, 0.12173249689504688, 0.018263862835584392, 0.18949846397186826, 0.0022318579951747203, -0.1263493855129665, -0.36367473368283726, -0.18082186131095382, -0.16117489353661807, -0.020978479692056566, -0.09550982405075764, -0.19437310612485023, 0.3996704731031623, 0.16179198895918834, 0.11301486541740072, 0.09510909506811721, 0.3257029807903397, 0.2080497146308632, 0.14419539764926861, 0.0650548193420113, 0.17583705212028933, 0.058435113408642124, 0.06974683023831794, -0.30840914188818613, 0.02145273473218713, 0.22024209561272406] |
709.4093 | A Brief History of Economics: An Outsider's Account | A dangerously brief history of the developments of the main ideas in
economics, as observed by a physicist, is given. This was published in
'Econophysics of Stock and Other Markets', Eds. A. Chatterjee, B. K.
Chakrabarti, New Economic Windows Series, Springer, Milan, 2006, pp~219-224.
| q-fin.GN physics.soc-ph | a dangerously brief history of the developments of the main ideas in economics as observed by a physicist is given this was published in econophysics of stock and other markets eds a chatterjee b k chakrabarti new economic windows series springer milan 2006 pp219224 | [['a', 'dangerously', 'brief', 'history', 'of', 'the', 'developments', 'of', 'the', 'main', 'ideas', 'in', 'economics', 'as', 'observed', 'by', 'a', 'physicist', 'is', 'given', 'this', 'was', 'published', 'in', 'econophysics', 'of', 'stock', 'and', 'other', 'markets', 'eds', 'a', 'chatterjee', 'b', 'k', 'chakrabarti', 'new', 'economic', 'windows', 'series', 'springer', 'milan', '2006', 'pp219224']] | [-0.07964954538227514, 0.0775790074190428, -0.1830774866650964, 0.07511068928207076, -0.1478833554875712, -0.11450892456179095, 0.07985547141626824, 0.2554856291538927, -0.2367738125937839, -0.32829266665286794, 0.11183461538234422, -0.32065278840749417, -0.1759828192636717, 0.195481751374034, -0.21184361489966166, -0.01956209448859269, 0.03474825818828026, -0.02570881926302993, 0.08256490169049696, -0.38352315916224966, 0.20188834648146187, 0.10778297063742959, 0.26265029134878587, 0.04934296975735315, 0.06514837680557786, 0.03406868896685367, -0.16322366594401902, -0.0305674793956758, -0.19063270709282437, 0.15219375965467027, 0.31904096601444276, 0.14922270418123104, 0.41166200072959414, -0.3773155429638749, -0.18196467481293652, 0.015973240992617467, -0.002403532631348732, 0.01499341094736443, 0.011087840068327305, -0.306287212643859, -0.05827599818016901, -0.2391640621042529, -0.10455951333955624, -0.001832747745305993, 0.16661078573832677, 0.01681814539831045, -0.20650394503460373, 0.08184519788077058, 0.04239354919382306, 0.1834035424385653, 0.010355385486036539, -0.18673710536948124, 0.03317243389265482, 0.0702221048231031, 0.10466965722721504, 0.036962070816391426, 0.09741696048268052, -0.06993264027026504, -0.2739667916280586, 0.34940323224940967, -0.10776194336629191, 0.05610852731868278, 0.14714453920862788, -0.12834219986486228, -0.1966110173352929, 0.02562731419971516, 0.13396871889140025, 0.01570901398135479, -0.20683754250667122, 0.14988389175769679, -0.09237158536737741, 0.0770657834012148, 0.12022452197189248, -0.11765218551032418, 0.1807041569764531, 0.1448116467529258, -0.04528611011229196, 0.06182920060060962, 0.005199520707910144, -0.1536572715917299, -0.2793697649613023, -0.156791711594303, -0.16729584186836038, 0.0793641620304782, -0.03503542573179042, -0.11999634023062712, 0.3950869263458434, 0.08701355889612852, 0.14315232790486757, -0.05256272732756685, 0.19174107294096504, 0.02786908982873916, -0.04152066853346823, 0.07797275785746616, 0.1883590357042416, 0.12164091117961635, 0.2930321281472611, -0.07321921700265172, 0.0935985986251644, 0.08143674968850127] |
709.4094 | Establishing a connection between high-power pulsars and
very-high-energy gamma-ray sources | In the very-high-energy (VHE) gamma-ray wave band, pulsar wind nebulae (PWNe)
represent to date the most populous class of Galactic sources. Nevertheless,
the details of the energy conversion mechanisms in the vicinity of pulsars are
not well understood, nor is it known which pulsars are able to drive PWNe and
emit high-energy radiation. In this paper we present a systematic study of a
connection between pulsars and VHE gamma-ray sources based on a deep survey of
the inner Galactic plane conducted with the High Energy Stereoscopic System
(H.E.S.S.). We find clear evidence that pulsars with large spin-down energy
flux are associated with VHE gamma-ray sources. This implies that these pulsars
emit on the order of 1% of their spin-down energy as TeV gamma-rays.
| astro-ph | in the veryhighenergy vhe gammaray wave band pulsar wind nebulae pwne represent to date the most populous class of galactic sources nevertheless the details of the energy conversion mechanisms in the vicinity of pulsars are not well understood nor is it known which pulsars are able to drive pwne and emit highenergy radiation in this paper we present a systematic study of a connection between pulsars and vhe gammaray sources based on a deep survey of the inner galactic plane conducted with the high energy stereoscopic system hess we find clear evidence that pulsars with large spindown energy flux are associated with vhe gammaray sources this implies that these pulsars emit on the order of 1 of their spindown energy as tev gammarays | [['in', 'the', 'veryhighenergy', 'vhe', 'gammaray', 'wave', 'band', 'pulsar', 'wind', 'nebulae', 'pwne', 'represent', 'to', 'date', 'the', 'most', 'populous', 'class', 'of', 'galactic', 'sources', 'nevertheless', 'the', 'details', 'of', 'the', 'energy', 'conversion', 'mechanisms', 'in', 'the', 'vicinity', 'of', 'pulsars', 'are', 'not', 'well', 'understood', 'nor', 'is', 'it', 'known', 'which', 'pulsars', 'are', 'able', 'to', 'drive', 'pwne', 'and', 'emit', 'highenergy', 'radiation', 'in', 'this', 'paper', 'we', 'present', 'a', 'systematic', 'study', 'of', 'a', 'connection', 'between', 'pulsars', 'and', 'vhe', 'gammaray', 'sources', 'based', 'on', 'a', 'deep', 'survey', 'of', 'the', 'inner', 'galactic', 'plane', 'conducted', 'with', 'the', 'high', 'energy', 'stereoscopic', 'system', 'hess', 'we', 'find', 'clear', 'evidence', 'that', 'pulsars', 'with', 'large', 'spindown', 'energy', 'flux', 'are', 'associated', 'with', 'vhe', 'gammaray', 'sources', 'this', 'implies', 'that', 'these', 'pulsars', 'emit', 'on', 'the', 'order', 'of', '1', 'of', 'their', 'spindown', 'energy', 'as', 'tev', 'gammarays']] | [-0.08488679690877111, 0.1689752930267979, -0.006437768427109937, 0.21152329965346925, -0.1989160846176792, -0.036975907609983524, 0.0448204105884609, 0.4636522391280992, -0.1825518106908738, -0.4008522021273772, -0.03330775973958728, -0.3228529482565033, 0.005595522489762161, 0.30592945337293637, 0.007902631093653268, -0.06178645088007992, 0.11903351954491127, -0.07497850438481485, 0.025683248763888833, -0.170881001425342, 0.2720640467298103, 0.1672151777493423, 0.15289429703167057, 0.03024682645284669, 0.1169718577549225, -0.1409349253995541, 0.0007392499383872118, -0.0902972862851329, -0.07595478881747231, 0.08275620989895206, 0.2850810344656551, 0.11210119964297467, 0.13497734682755622, -0.37621663151899487, -0.24182849655276148, 0.1486532624282806, 0.1584973318002573, -0.045506960807966325, -0.05757316206657608, -0.30141988460436403, 0.03906262102650433, -0.2647178278236491, -0.19364483566099128, 0.0693833383284812, 0.005690622154804991, 0.13820400508471883, -0.0995389576395595, 0.07671227428032373, 0.03452070077930433, 0.0424598583769871, -0.17244047630858433, -0.07603510349470274, 0.03139996827140874, 0.034086769401300246, 0.12592636679329464, 0.07415084564505614, 0.103932776282744, -0.15750786843444636, -0.14425966750103525, 0.39253676756156414, 0.031090097676970185, -0.020921961699680584, 0.22950126135880808, -0.2631773885180492, -0.25748985119890877, 0.20141723982296975, 0.19311776095471248, 0.09072401206675403, -0.19598097630991312, 0.053340802502030944, -0.011685782869235703, 0.21218558321366224, 0.02972590490585057, 0.10360923894809757, 0.3353673337042574, 0.13661942954744946, 0.06637276570517116, 0.13946651872550328, -0.29712167844541626, 0.01562614044613712, -0.29854614937647694, -0.05501095476613297, -0.18661438584482917, 0.17182394268409523, -0.04764355435126037, -0.1419345391261187, 0.41347276576893116, 0.09950009598283142, 0.12369890537726261, 0.00015022673897778358, 0.29518291647962436, 0.1243063028858278, 0.02564174191064648, 0.21097931126132607, 0.4116566660851846, 0.11793819597990411, 0.14530430753844056, -0.16710492946222666, 0.06690505160609396, -0.0667622876656431] |
709.4095 | Flame-driven deflagration-to-detonation transitions in Type Ia
supernovae? | Although delayed detonation models of thermonuclear explosions of white
dwarfs seem promising for reproducing Type Ia supernovae, the transition of the
flame propagation mode from subsonic deflagration to supersonic detonation
remains hypothetical. A potential instant for this transition to occur is the
onset of the distributed burning regime, i.e. the moment when turbulence first
affects the internal flame structure. Some studies of the burning microphysics
indicate that a deflagration-to-detonation transition may be possible here,
provided the turbulent intensities are strong enough. Consequently, the
magnitude of turbulent velocity fluctuations generated by the deflagration
flame is analyzed at the onset of the distributed burning regime in several
three-dimensional simulations of deflagrations in thermonuclear supernovae. It
is shown that the corresponding probability density functions fall off towards
high turbulent velocity fluctuations much more slowly than a Gaussian
distribution. Thus, values claimed to be necessary for triggering a detonation
are likely to be found in sufficiently large patches of the flame. Although the
microphysical evolution of the burning is not followed and a successful
deflagration-to-detonation transition cannot be guaranteed from simulations
presented here, the results still indicate that such events may be possible in
Type Ia supernova explosions.
| astro-ph | although delayed detonation models of thermonuclear explosions of white dwarfs seem promising for reproducing type ia supernovae the transition of the flame propagation mode from subsonic deflagration to supersonic detonation remains hypothetical a potential instant for this transition to occur is the onset of the distributed burning regime ie the moment when turbulence first affects the internal flame structure some studies of the burning microphysics indicate that a deflagrationtodetonation transition may be possible here provided the turbulent intensities are strong enough consequently the magnitude of turbulent velocity fluctuations generated by the deflagration flame is analyzed at the onset of the distributed burning regime in several threedimensional simulations of deflagrations in thermonuclear supernovae it is shown that the corresponding probability density functions fall off towards high turbulent velocity fluctuations much more slowly than a gaussian distribution thus values claimed to be necessary for triggering a detonation are likely to be found in sufficiently large patches of the flame although the microphysical evolution of the burning is not followed and a successful deflagrationtodetonation transition cannot be guaranteed from simulations presented here the results still indicate that such events may be possible in type ia supernova explosions | [['although', 'delayed', 'detonation', 'models', 'of', 'thermonuclear', 'explosions', 'of', 'white', 'dwarfs', 'seem', 'promising', 'for', 'reproducing', 'type', 'ia', 'supernovae', 'the', 'transition', 'of', 'the', 'flame', 'propagation', 'mode', 'from', 'subsonic', 'deflagration', 'to', 'supersonic', 'detonation', 'remains', 'hypothetical', 'a', 'potential', 'instant', 'for', 'this', 'transition', 'to', 'occur', 'is', 'the', 'onset', 'of', 'the', 'distributed', 'burning', 'regime', 'ie', 'the', 'moment', 'when', 'turbulence', 'first', 'affects', 'the', 'internal', 'flame', 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709.4096 | Quantum Auctions: Facts and Myths | Quantum game theory, whatever opinions may be held due to its abstract
physical formalism, have already found various applications even outside the
orthodox physics domain. In this paper we introduce the concept of a quantum
auction, its advantages and drawbacks. Then we describe the models that have
already been put forward. A general model involves Wigner formalism and
infinite dimensional Hilbert spaces - we envisage that the implementation might
not be an easy task. But a restricted model advocated by the Hewlett-Packard
group seems to be much easier to implement. Simulations involving humans have
already been performed. We will focus on problems related to combinatorial
auctions and technical assumptions that are made. Quantum approach offers at
least two important developments. Powerful quantum algorithms for finding
solutions would extend the range of possible applications. Quantum strategies,
being qubits, can be teleported but are immune from cloning - therefore extreme
privacy of agent's activity could in principle be guaranteed. Then we point out
some key problem that have to be solved before commercial use would be
possible. With present technology, optical networks, single photon sources and
detectors seems to be sufficient for experimental realization in the near
future. We conclude by describing potential customers, estimating the potential
market size and possible timing.
| q-fin.GN physics.soc-ph | quantum game theory whatever opinions may be held due to its abstract physical formalism have already found various applications even outside the orthodox physics domain in this paper we introduce the concept of a quantum auction its advantages and drawbacks then we describe the models that have already been put forward a general model involves wigner formalism and infinite dimensional hilbert spaces we envisage that the implementation might not be an easy task but a restricted model advocated by the hewlettpackard group seems to be much easier to implement simulations involving humans have already been performed we will focus on problems related to combinatorial auctions and technical assumptions that are made quantum approach offers at least two important developments powerful quantum algorithms for finding solutions would extend the range of possible applications quantum strategies being qubits can be teleported but are immune from cloning therefore extreme privacy of agents activity could in principle be guaranteed then we point out some key problem that have to be solved before commercial use would be possible with present technology optical networks single photon sources and detectors seems to be sufficient for experimental realization in the near future we conclude by describing potential customers estimating the potential market size and possible timing | [['quantum', 'game', 'theory', 'whatever', 'opinions', 'may', 'be', 'held', 'due', 'to', 'its', 'abstract', 'physical', 'formalism', 'have', 'already', 'found', 'various', 'applications', 'even', 'outside', 'the', 'orthodox', 'physics', 'domain', 'in', 'this', 'paper', 'we', 'introduce', 'the', 'concept', 'of', 'a', 'quantum', 'auction', 'its', 'advantages', 'and', 'drawbacks', 'then', 'we', 'describe', 'the', 'models', 'that', 'have', 'already', 'been', 'put', 'forward', 'a', 'general', 'model', 'involves', 'wigner', 'formalism', 'and', 'infinite', 'dimensional', 'hilbert', 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709.4097 | Current to frequency conversion in a Josephson circuit | The voltage oscillations which occur in an ideally current-biased Josephson
junction, were proposed to make a current standard for metrology. We
demonstrate similar oscillations in a more complex Josephson circuit derived
from the Cooper pair box: the quantronium. When a constant current I is
injected in the gate capacitor of this device, oscillations develop at the
frequency fB=I/2e, with e the electron charge. We detect these oscillations
through the sidebands induced at multiples of fB in the spectrum of a microwave
signal reflected on the circuit, up to currents I exceeding 100 pA. We discuss
the potential interest of this current to frequency conversion experiment for
metrology.
| cond-mat.mes-hall | the voltage oscillations which occur in an ideally currentbiased josephson junction were proposed to make a current standard for metrology we demonstrate similar oscillations in a more complex josephson circuit derived from the cooper pair box the quantronium when a constant current i is injected in the gate capacitor of this device oscillations develop at the frequency fbi2e with e the electron charge we detect these oscillations through the sidebands induced at multiples of fb in the spectrum of a microwave signal reflected on the circuit up to currents i exceeding 100 pa we discuss the potential interest of this current to frequency conversion experiment for metrology | [['the', 'voltage', 'oscillations', 'which', 'occur', 'in', 'an', 'ideally', 'currentbiased', 'josephson', 'junction', 'were', 'proposed', 'to', 'make', 'a', 'current', 'standard', 'for', 'metrology', 'we', 'demonstrate', 'similar', 'oscillations', 'in', 'a', 'more', 'complex', 'josephson', 'circuit', 'derived', 'from', 'the', 'cooper', 'pair', 'box', 'the', 'quantronium', 'when', 'a', 'constant', 'current', 'i', 'is', 'injected', 'in', 'the', 'gate', 'capacitor', 'of', 'this', 'device', 'oscillations', 'develop', 'at', 'the', 'frequency', 'fbi2e', 'with', 'e', 'the', 'electron', 'charge', 'we', 'detect', 'these', 'oscillations', 'through', 'the', 'sidebands', 'induced', 'at', 'multiples', 'of', 'fb', 'in', 'the', 'spectrum', 'of', 'a', 'microwave', 'signal', 'reflected', 'on', 'the', 'circuit', 'up', 'to', 'currents', 'i', 'exceeding', '100', 'pa', 'we', 'discuss', 'the', 'potential', 'interest', 'of', 'this', 'current', 'to', 'frequency', 'conversion', 'experiment', 'for', 'metrology']] | [-0.19590896065923483, 0.16333087013261766, 0.02063859494420577, 0.018266170253792673, -0.007144064275670867, -0.16292168482048613, 0.09851191743092506, 0.3520579753478743, -0.2562556155728844, -0.28724083752933677, 0.010139984693729653, -0.29030023951891737, -0.06569202592209825, 0.2791484722138365, -0.02129625814597843, 0.018164081375975655, 0.011824198209961771, -0.0020566446759369013, -0.014065792160284406, -0.13027430026800776, 0.23723826898297048, 0.04328487562630677, 0.3174760382411615, 0.04604837186370959, 0.08939260657314423, -0.05221957412003627, 0.04321793428806694, -0.018851494539599372, -0.09862670917031004, 0.04263074682884902, 0.25510336579491366, 0.014618278344882265, 0.19543695341321235, -0.4818011977586825, -0.1609134067833986, 0.09009703190106007, 0.12138034662073653, 0.15351902295611272, -0.05360772618807013, -0.28870602104074833, 0.06312369494611081, -0.1663282778166797, -0.0779170682697715, -0.01014170852074628, 0.03493930294424436, 0.0214001268965526, -0.2599826184560475, 0.06458622654065278, 0.04185892021248363, 0.039158203059209966, 0.012732151258771992, -0.07138215134937298, 0.03328664701010259, 0.04922986086315194, -0.03368144428120258, 0.03857529872835104, 0.19752793068523114, -0.11333538603722909, -0.1448142450557635, 0.2928555421135828, -0.11191021640925615, -0.14336323600596274, 0.11336508566153429, -0.23774343142549526, -0.022142681205328904, 0.11040440540901332, 0.1336597763880525, 0.03909216930360516, -0.1468118862211891, 0.034465011841845965, 0.03848114258962253, 0.17480998962704655, 0.12041793718389324, 0.05146951401465625, 0.2875277028542082, 0.1914508148548984, 0.07679589727524457, 0.12005372482070804, -0.1565786296093204, 0.0026752206338745243, -0.33237043710179487, -0.11663873452376926, -0.1607246827246305, 0.09962740292737507, 0.002576704611474613, -0.1680406292039409, 0.4788787881053, 0.2100565088122099, 0.19007774192910148, -0.02566791427176762, 0.3363355127215948, 0.18773149826370603, 0.09255641859841866, 0.026020427599092417, 0.2762765390468972, 0.15391239926728578, 0.14700387616835112, -0.30565907521709307, -0.023166618854650912, -0.05771777750748509] |
709.4098 | Hinode Calibration for Precise Image Co-alignment between SOT and XRT
(November 2006 -- April 2007) | To understand the physical mechanisms for activity and heating in the solar
atmosphere, the magnetic coupling from the photosphere to the corona is an
important piece of information from the Hinode observations, and therefore
precise positional alignment is required among the data acquired by different
telescopes. The Hinode spacecraft and its onboard telescopes were developed to
allow us to investigate magnetic coupling with co-alignment accuracy better
than 1 arcsec. Using the Mercury transit observed on 8 November 2006 and
co-alignment measurements regularly performed on a weekly basis, we have
determined the information necessary for precise image co-alignment and have
confirmed that co-alignment better than 1 arcsec can be realized between Solar
Optical Telescope (SOT) and X-Ray Telescope (XRT) with our baseline
co-alignment method. This paper presents results from the calibration for
precise co-alignment of CCD images from SOT and XRT.
| astro-ph | to understand the physical mechanisms for activity and heating in the solar atmosphere the magnetic coupling from the photosphere to the corona is an important piece of information from the hinode observations and therefore precise positional alignment is required among the data acquired by different telescopes the hinode spacecraft and its onboard telescopes were developed to allow us to investigate magnetic coupling with coalignment accuracy better than 1 arcsec using the mercury transit observed on 8 november 2006 and coalignment measurements regularly performed on a weekly basis we have determined the information necessary for precise image coalignment and have confirmed that coalignment better than 1 arcsec can be realized between solar optical telescope sot and xray telescope xrt with our baseline coalignment method this paper presents results from the calibration for precise coalignment of ccd images from sot and xrt | [['to', 'understand', 'the', 'physical', 'mechanisms', 'for', 'activity', 'and', 'heating', 'in', 'the', 'solar', 'atmosphere', 'the', 'magnetic', 'coupling', 'from', 'the', 'photosphere', 'to', 'the', 'corona', 'is', 'an', 'important', 'piece', 'of', 'information', 'from', 'the', 'hinode', 'observations', 'and', 'therefore', 'precise', 'positional', 'alignment', 'is', 'required', 'among', 'the', 'data', 'acquired', 'by', 'different', 'telescopes', 'the', 'hinode', 'spacecraft', 'and', 'its', 'onboard', 'telescopes', 'were', 'developed', 'to', 'allow', 'us', 'to', 'investigate', 'magnetic', 'coupling', 'with', 'coalignment', 'accuracy', 'better', 'than', '1', 'arcsec', 'using', 'the', 'mercury', 'transit', 'observed', 'on', '8', 'november', '2006', 'and', 'coalignment', 'measurements', 'regularly', 'performed', 'on', 'a', 'weekly', 'basis', 'we', 'have', 'determined', 'the', 'information', 'necessary', 'for', 'precise', 'image', 'coalignment', 'and', 'have', 'confirmed', 'that', 'coalignment', 'better', 'than', '1', 'arcsec', 'can', 'be', 'realized', 'between', 'solar', 'optical', 'telescope', 'sot', 'and', 'xray', 'telescope', 'xrt', 'with', 'our', 'baseline', 'coalignment', 'method', 'this', 'paper', 'presents', 'results', 'from', 'the', 'calibration', 'for', 'precise', 'coalignment', 'of', 'ccd', 'images', 'from', 'sot', 'and', 'xrt']] | [-0.041814403349001494, 0.10921576808000931, -0.06046025926646378, 0.07596609078131483, -0.11708932424496327, -0.11117015362584165, 0.039663125741727916, 0.4768618370805468, -0.1826212846649079, -0.4436741805103208, 0.1203894175838546, -0.3021192152784871, -0.09640136371100587, 0.28341789748187046, -0.0847275700220572, 0.02968085924803745, 0.15207812804063517, -0.07159908852772787, -0.04195304596464017, -0.2159667878012572, 0.2044011277396099, 0.17567143685051373, 0.2118400771420316, -0.03215243193054838, 0.12357735677505843, -0.038616350615796234, -0.09051117889716156, -0.019055535178631546, -0.12202982156663243, 0.10324915487352493, 0.19763209155831385, 0.10641745255727852, 0.1665271966684876, -0.467901582191033, -0.1763975971444909, 0.006980946387297341, 0.1078367202143584, -0.0344438749265724, 0.015419419853216303, -0.3441389258452026, 0.020358660078740546, -0.09722384570964746, -0.09597811021210094, -0.021579414014039296, 0.01100760430646395, -0.005659493359936667, -0.3067596398792895, 0.009304739622997918, -0.03403059180460072, 0.18900132105419679, -0.1388753594273502, -0.06801441646197677, -0.037351475017411366, 0.2064407507523096, 0.03363379995405142, 0.07623933918075636, 0.10057526500812465, -0.062385213080727094, -0.06540863514944378, 0.3371887865077172, -0.03137591615855594, -0.01492006711507981, 0.150472125889168, -0.22887720218526997, -0.12585392909324064, 0.17043008753431163, 0.15222426005639136, 0.07476722388860903, -0.18294234204638218, -0.010383246625756978, -0.005629750434309244, 0.2543234874826989, 0.06125765835334148, 0.053985034531381516, 0.2313025447057693, 0.14866814963336636, 0.06716820994125945, 0.08731930308526249, -0.31985331943724304, 0.00612979588165347, -0.19440919343448643, -0.11526480672348823, -0.13479635164341225, 0.06800196186107184, -0.08971305222709947, -0.061954772409184705, 0.4070390011616317, 0.22907347211481205, 0.15609516707648124, -0.017819890411504145, 0.36623732849423374, 0.020123957633040847, 0.11057654490661142, 0.04825654686095991, 0.3683086227093424, 0.11212144018084343, 0.19995312518440186, -0.2086268488251205, 0.056181968795135616, 0.0427771610606994] |
709.4099 | Simple derivation of the first cumulant for the Rouse chain | A simple analytic expression for the first cumulant of the dynamic structure
factor of a polymer coil in the Rouse model is derived. The obtained formula is
exact within the usual assumption of the continuum distribution of beads along
the chain. It reflects the contributions to the scattering of light or neutrons
from both the internal motion of the polymer and its diffusion, and is valid in
the whole region of the wave-vector change at the scattering.
| cond-mat.soft | a simple analytic expression for the first cumulant of the dynamic structure factor of a polymer coil in the rouse model is derived the obtained formula is exact within the usual assumption of the continuum distribution of beads along the chain it reflects the contributions to the scattering of light or neutrons from both the internal motion of the polymer and its diffusion and is valid in the whole region of the wavevector change at the scattering | [['a', 'simple', 'analytic', 'expression', 'for', 'the', 'first', 'cumulant', 'of', 'the', 'dynamic', 'structure', 'factor', 'of', 'a', 'polymer', 'coil', 'in', 'the', 'rouse', 'model', 'is', 'derived', 'the', 'obtained', 'formula', 'is', 'exact', 'within', 'the', 'usual', 'assumption', 'of', 'the', 'continuum', 'distribution', 'of', 'beads', 'along', 'the', 'chain', 'it', 'reflects', 'the', 'contributions', 'to', 'the', 'scattering', 'of', 'light', 'or', 'neutrons', 'from', 'both', 'the', 'internal', 'motion', 'of', 'the', 'polymer', 'and', 'its', 'diffusion', 'and', 'is', 'valid', 'in', 'the', 'whole', 'region', 'of', 'the', 'wavevector', 'change', 'at', 'the', 'scattering']] | [-0.12194301209158519, 0.13782726237913231, -0.11641358228267304, 0.045280364772921744, -0.02844400070123858, -0.06405654412924082, 0.03651255296615811, 0.3392518412370186, -0.29121740921944766, -0.23996389081532304, 0.04344885376306226, -0.2707686831436858, -0.0947762018390145, 0.157931176129148, 0.04706570969905111, 0.027250040345976445, 0.013556706380437721, 0.07463741881694258, -0.03762563252700614, -0.11279546938437436, 0.27457265893311855, 0.059479503940742515, 0.29178372495082, 0.06456141796737135, 0.13396965172262743, 0.061561356405969464, -0.012100780757700469, -0.001070094524652927, -0.13701860290383558, 0.13911172631499055, 0.15509612283778268, 0.04157697471076405, 0.14766987240453727, -0.42086879304283625, -0.19948630753372396, 0.039366706564732186, 0.13668943812175618, 0.15243849415005511, 0.05104933001173587, -0.2517681908249468, 0.03538102364506234, -0.15031433877136027, -0.17637040897865186, 0.013672841549548623, 0.03569954693885883, 0.04160298358697396, -0.25929760065779406, 0.12850417634290826, 0.08423204992764763, 0.031380228915965404, -0.08487629419489001, -0.10585817806846039, -0.011918549081189679, 0.1432899719787544, 0.09896757533091918, 0.021462988870387726, 0.17912204114889557, -0.166903287541218, -0.026878460298304433, 0.39242240577307225, -0.060206392223571804, -0.19434080650280047, 0.12622363347402932, -0.19609165243659313, -0.06700875750416285, 0.21775730479169975, 0.09803821869019129, 0.11419297093805228, -0.17036064355649272, 0.10383797360602283, -0.024226220475824234, 0.15638914476934965, 0.06117377209162654, -0.042721802308284616, 0.18469920333523254, 0.18426418501593464, -0.006265489082154516, 0.17883207149464975, -0.1276127682309356, -0.1324685841387549, -0.31848957499053765, -0.16234020135129573, -0.22254780936357263, 0.02430254202819877, -0.14426368619458957, -0.20723092346754554, 0.3943185688710058, 0.08310643379243558, 0.19199644620590783, 0.08571821500777037, 0.2998882927689943, 0.13906659398760116, 0.052699688519653565, 0.039935857462757206, 0.2456831969199823, 0.16420171298570446, 0.0885042834107752, -0.2657808374413954, 0.09057444040119261, 0.05013094439667154] |
709.41 | How certain is the distance to the most luminous supernova? | A recent supernova has been reported as exceeding ``the light output of an
ordinary supernova by at least two orders of magnitude''. It is noted that it
falls in a minor galaxy in the Perseus Cluster. Some evidence indicating a ten
times closer distance for the Perseus Cluster than its redshift distance is
discussed here.
| astro-ph | a recent supernova has been reported as exceeding the light output of an ordinary supernova by at least two orders of magnitude it is noted that it falls in a minor galaxy in the perseus cluster some evidence indicating a ten times closer distance for the perseus cluster than its redshift distance is discussed here | [['a', 'recent', 'supernova', 'has', 'been', 'reported', 'as', 'exceeding', 'the', 'light', 'output', 'of', 'an', 'ordinary', 'supernova', 'by', 'at', 'least', 'two', 'orders', 'of', 'magnitude', 'it', 'is', 'noted', 'that', 'it', 'falls', 'in', 'a', 'minor', 'galaxy', 'in', 'the', 'perseus', 'cluster', 'some', 'evidence', 'indicating', 'a', 'ten', 'times', 'closer', 'distance', 'for', 'the', 'perseus', 'cluster', 'than', 'its', 'redshift', 'distance', 'is', 'discussed', 'here']] | [-0.08706960318271409, 0.08443621452289253, -0.06371111589568583, 0.08623065576380627, -0.061473899317735975, -0.06412305310368538, 0.028072682933204553, 0.41940530436960133, -0.1689240714365786, -0.308375741338188, 0.0733762906737287, -0.32063255415044045, -0.049743555045940656, 0.24709922159937295, 0.020146621247245505, -0.026236109047154472, 0.06453863644379784, 0.06549707468260418, -0.0813120733541754, -0.32358940071003006, 0.25636029649864545, 0.07863251837817105, 0.17452705395407975, -0.006368704326450825, 0.1156265198845755, -0.1150920545428314, -0.05147162291475318, 0.029477893086996946, -0.11284629867308964, 0.014988771682097153, 0.1915993571350224, 0.12571279893798584, 0.3061795245178721, -0.3486027238721197, -0.2434455398808826, 0.09006856886500662, 0.22584080077199772, 0.0800380910334008, -0.05701838455755602, -0.27555159188129685, 0.08714886104095389, -0.22004677922549573, -0.19114120263098316, 0.1326025870829736, 0.10392192080616951, -0.006311387881975283, -0.14025950864677064, 0.15328555679456754, 0.023605927943506026, 0.06527936025945978, -0.025580546634525737, -0.18622396786443213, 0.009453237657858566, 0.031015413059768352, 0.046401106015863745, 0.152146847656166, 0.12273872487924316, -0.12731446857479486, -0.0845021440224214, 0.42706521065397696, 0.016437848423216068, 0.03994641500440511, 0.2263453303582289, -0.1850692094472999, -0.14562721435319292, 0.13212138515558433, 0.07556497534228997, 0.06775586782869968, -0.15709569279781796, 0.012358542023734613, -0.06077894102782011, 0.19892410812052813, 0.08778247941624034, 0.04693699228439734, 0.2469508729536425, 0.17015233356505632, 0.1007400189272382, 0.11682193314825946, -0.18653409977559932, -0.05207197514828295, -0.23853980042040349, -0.11812699163671245, -0.17649646764621138, 0.07533859480172396, -0.1532230523076247, -0.06850769052451307, 0.32407450245862657, 0.10388112782754681, 0.23955780694430526, 0.016516318477012893, 0.3051184423945167, 0.1106393870791759, 0.17257500943643125, 0.11934074248102579, 0.35190028483312663, 0.1630155350250954, 0.026838743534277787, -0.1741707486608489, 0.1236079113071107, 0.005440344513309272] |
709.4101 | Is the physical vacuum a preferred frame ? | It is generally assumed that the physical vacuum of particle physics should
be characterized by an energy momentum tensor in such a way to preserve exact
Lorentz invariance. On the other hand, if the ground state were characterized
by its energy-momentum vector, with zero spatial momentum and a non-zero
energy, the vacuum would represent a preferred frame. Since both theoretical
approaches have their own good motivations, we propose an experimental test to
decide between the two scenarios.
| hep-ph | it is generally assumed that the physical vacuum of particle physics should be characterized by an energy momentum tensor in such a way to preserve exact lorentz invariance on the other hand if the ground state were characterized by its energymomentum vector with zero spatial momentum and a nonzero energy the vacuum would represent a preferred frame since both theoretical approaches have their own good motivations we propose an experimental test to decide between the two scenarios | [['it', 'is', 'generally', 'assumed', 'that', 'the', 'physical', 'vacuum', 'of', 'particle', 'physics', 'should', 'be', 'characterized', 'by', 'an', 'energy', 'momentum', 'tensor', 'in', 'such', 'a', 'way', 'to', 'preserve', 'exact', 'lorentz', 'invariance', 'on', 'the', 'other', 'hand', 'if', 'the', 'ground', 'state', 'were', 'characterized', 'by', 'its', 'energymomentum', 'vector', 'with', 'zero', 'spatial', 'momentum', 'and', 'a', 'nonzero', 'energy', 'the', 'vacuum', 'would', 'represent', 'a', 'preferred', 'frame', 'since', 'both', 'theoretical', 'approaches', 'have', 'their', 'own', 'good', 'motivations', 'we', 'propose', 'an', 'experimental', 'test', 'to', 'decide', 'between', 'the', 'two', 'scenarios']] | [-0.11094575063869744, 0.19181604891775067, -0.12018303682214229, 0.08417518609415063, -0.115586487394939, -0.1650849095267522, -0.01563467224455112, 0.39249956220775456, -0.243418671722923, -0.3108670289156499, 0.06914973725087022, -0.2237516769582962, -0.06294275210662321, 0.13249320751691068, -0.020150705609567367, 0.050833592847497625, 0.021261269601618314, 0.10613371275800776, -0.08676866154404139, -0.1952380368655378, 0.3268358659047585, 0.09752164889949483, 0.32344144476613923, 0.051818084788157956, 0.14211602040336696, -0.034178292088500865, -0.0188357019857443, 0.03828801197761839, -0.09832610928670082, 0.06710747584652205, 0.2169627399099144, 0.12018670604183254, 0.2581025226186816, -0.4519520278826549, -0.17170341611634216, 0.14121114544860727, 0.09277976468786017, 0.11189300895898373, -0.04636897174066973, -0.28443202428374587, 0.06977221398771584, -0.17363731440930785, -0.1517065887327318, -0.1274076221909906, 0.006644856595954337, -0.028634394195487165, -0.23402859060722705, 0.05532395970922979, 0.024104844600373466, -0.008440029329632396, -0.1053963314527162, -0.11442538212029288, -0.06209276649230099, 0.11205193443320595, 0.11566880326899519, 0.036018989729247504, 0.11658061661624483, -0.15100213953946995, -0.1196492534892803, 0.41911901037704635, -0.0343194829916896, -0.2777519008725301, 0.20882031084461647, -0.12726114153281434, -0.07218831071823642, 0.08588740539241146, 0.0987236195715604, 0.07170668379826979, -0.146145760396181, 0.0939834518350552, -0.04437942512623676, 0.14593744278558857, 0.04794102441519499, 0.08267762204753114, 0.28338540835281856, 0.07204310485923832, 0.05233729901941275, 0.06979995610286155, -0.05181790151113233, -0.10415155670375793, -0.3323661808359933, -0.16233609899025797, -0.2206918407691183, 0.06346371697939256, -0.05441829935906836, -0.11233766624921715, 0.3895882645307423, 0.12730581733071572, 0.2209404057455733, -0.00414064759993321, 0.31642424766361327, 0.10543012314222076, 0.056452423458096465, 0.07954106447679994, 0.31625267848759503, 0.09160292052131679, 0.10200594308145054, -0.20525674950089548, 0.047285392151710084, 0.02773248833640442] |
709.4102 | The Infinite in Sciences and Arts | Actual infinity in its various forms is discussed, searched and not found.
| math.GM | actual infinity in its various forms is discussed searched and not found | [['actual', 'infinity', 'in', 'its', 'various', 'forms', 'is', 'discussed', 'searched', 'and', 'not', 'found']] | [-0.17336564371362329, 0.11170780565589666, -0.08166576976267, 0.22000890571507625, -0.04584216186776757, -0.18622690218035132, -0.028834058592716854, 0.3680548203798632, -0.2270847074687481, -0.2340791259581844, 0.18959490158401118, -0.23810214448409775, -0.16914276840786138, 0.20879166635374227, 0.03132673903989295, 0.06387800396866321, -0.013377711021651825, 0.17278704326599836, -0.0798311096150428, -0.26990826334804296, 0.2007427259037892, 0.05382678238674998, 0.28522118252779666, 0.12680650409311056, 0.0078326118576418, -0.06687596797322233, -0.1682249066264679, -0.022821408696472645, -0.14065887171697491, -0.011964252296214303, 0.3212491003796458, 0.196322621156772, 0.2140273965584735, -0.43677838596825797, -0.16912574305509528, 0.15785565475622812, 0.20502534308858836, 0.03864349549015363, -0.1116738140117377, -0.3046884872019291, 0.07862553543721636, -0.1265153617520506, -0.21146349872772893, -0.0478015982080251, 0.0729780023296674, 0.033980355598032475, -0.07375688916848351, -0.053702182757357754, 0.022115754739691813, 0.07129341100032131, -0.1491018187662121, -0.22254703845828772, -0.1205313563211045, 0.09988059988245368, 0.1329858708777465, -0.013515522082646688, 0.12303498604645331, -0.06826900256176789, -0.076377942537268, 0.4316111393272877, -0.024952590155104797, -0.24824391988416514, 0.2589818152288596, -0.24531787082863352, -0.08201791749646266, 0.08785442359900723, 0.08489380466441314, 0.1005164507466058, -0.208061358348156, 0.13004111111998404, 0.0330138080753386, 0.12016263573120038, 0.11417438151935737, 0.008563389691213766, 0.165771822600315, 0.05005103178943197, -0.036954602459445596, 0.1899122808050985, -0.09028555576999982, -0.08504485517429809, -0.31837909668684006, -0.13866159700167677, -0.16258670738898218, -0.0018716230006248225, -0.06149265243705789, -0.12608267615238825, 0.2892894820154955, 0.12554145387063423, 0.27314052420357865, -0.032970232578615345, 0.1982278199866414, 0.15592013532295823, 0.09391288408854355, 0.09873387461993843, 0.3072535345175614, 0.07541653995091717, 0.14351120125502348, -0.15701547439675778, 0.15584216763575873, -0.05594693630700931] |
709.4103 | H.E.S.S. observations of the supernova remnant RCW 86 | The shell-type supernova remnant (SNR) RCW 86 - possibly associated with the
historical supernova SN 185 - was observed during the past three years with the
High Energy Stereoscopic System (H.E.S.S.), an array of four
atmospheric-Cherenkov telescopes located in Namibia. The multi-wavelength
properties of RCW 86, e.g. weak radio emission and North-East X-ray emission
almost entirely consisting of synchroton radiation, resemble those of two
very-high energy (VHE; > 100 GeV) gamma-ray emitting SNRs RX J1713.7-3946 and
RX J0852-4622. The H.E.S.S. observations reveal a new extended source of VHE
gamma-ray emission.The morphological and spectral properties of this new source
will be presented.
| astro-ph | the shelltype supernova remnant snr rcw 86 possibly associated with the historical supernova sn 185 was observed during the past three years with the high energy stereoscopic system hess an array of four atmosphericcherenkov telescopes located in namibia the multiwavelength properties of rcw 86 eg weak radio emission and northeast xray emission almost entirely consisting of synchroton radiation resemble those of two veryhigh energy vhe 100 gev gammaray emitting snrs rx j171373946 and rx j08524622 the hess observations reveal a new extended source of vhe gammaray emissionthe morphological and spectral properties of this new source will be presented | [['the', 'shelltype', 'supernova', 'remnant', 'snr', 'rcw', '86', 'possibly', 'associated', 'with', 'the', 'historical', 'supernova', 'sn', '185', 'was', 'observed', 'during', 'the', 'past', 'three', 'years', 'with', 'the', 'high', 'energy', 'stereoscopic', 'system', 'hess', 'an', 'array', 'of', 'four', 'atmosphericcherenkov', 'telescopes', 'located', 'in', 'namibia', 'the', 'multiwavelength', 'properties', 'of', 'rcw', '86', 'eg', 'weak', 'radio', 'emission', 'and', 'northeast', 'xray', 'emission', 'almost', 'entirely', 'consisting', 'of', 'synchroton', 'radiation', 'resemble', 'those', 'of', 'two', 'veryhigh', 'energy', 'vhe', '100', 'gev', 'gammaray', 'emitting', 'snrs', 'rx', 'j171373946', 'and', 'rx', 'j08524622', 'the', 'hess', 'observations', 'reveal', 'a', 'new', 'extended', 'source', 'of', 'vhe', 'gammaray', 'emissionthe', 'morphological', 'and', 'spectral', 'properties', 'of', 'this', 'new', 'source', 'will', 'be', 'presented']] | [-0.07960096529057743, 0.09009536635026702, -0.0001949220420602633, 0.12792266530759291, -0.17199273072943397, -0.13491838642548085, 0.006079624016170523, 0.49527751015765326, -0.16370662320785376, -0.37471661995146044, 0.04837439642929263, -0.34215319489261936, 0.06722045288782338, 0.22938213584355402, 0.03162070498587944, -0.11534731556205269, 0.19289703063586042, -0.13156327746371377, 0.005651052100393845, -0.2374729340653528, 0.19478629179992618, 0.250606047863863, 0.18998442342675917, 0.0021683540223736545, 0.12605189128032868, -0.14164548894932152, -0.05781852006342034, -0.1043899116030305, -0.024418572964127725, 0.047684472833513, 0.2344475902693598, 0.17676940832610186, 0.08461145470774144, -0.3007143272077475, -0.27750736092008194, 0.08921446955325651, 0.18248859984958807, -0.16891253873591824, -0.008522562580468247, -0.4078172117243616, 0.017673241193121185, -0.2895674862499748, -0.24622195936283287, 0.24807618586797914, -0.03130681981921804, 0.10253264395311018, -0.0981408488242982, 0.09695105087867349, -0.07659797889551109, 0.08536309465689927, -0.18819275446597258, -0.10958767593695726, 0.04948370909788741, -0.015202333689762317, 0.02446718492108036, 0.06142451465414951, 0.07918500225059688, -0.12198507789836018, -0.11235402816459916, 0.35914652376454703, 0.026906581266488577, 0.13248207138813273, 0.2666942754389756, -0.2526226041230316, -0.27600622310170103, 0.30636236406102474, 0.0957769721969772, 0.03449190749872324, -0.22481536086914794, 0.040566066444533096, -0.04284218157052386, 0.19932970073910392, 0.07081942959232446, 0.13218355725940473, 0.32238837732572334, 0.14000357883359896, -0.009079591589694729, 0.2007631693493898, -0.4168754612500732, 0.06862251837832892, -0.26594779547303915, -0.048244538147368336, -0.17513611443739915, 0.19959847476542453, -0.13805854352317604, -0.11266958592839692, 0.40149890408585115, 0.0059335241094231606, 0.1321358440957051, -0.09020509661712246, 0.25394246374180884, -0.01586361966875135, -0.0008180968710506448, 0.16752532849620497, 0.3918032515699006, 0.14478417248845252, 0.18852383767881867, -0.18342593796456194, 0.017194537488667637, -0.026505435939298525] |
709.4104 | Effects of hydrodynamic noise on the diffusion of polymers in dilute
solutions | The Rouse-Zimm equation for the position vectors of beads mapping the polymer
is generalized by taking into account the viscous aftereffect and the
hydrodynamic noise. For the noise, the random fluctuations of the hydrodynamic
tensor of stresses are responsible. The preaveraging of the Oseen tensor for
the nonstationary Navier-Stokes equation allowed us to relate the time
correlation functions of the Fourier components of the bead position to the
correlation functions of the hydrodynamic field created by the noise. The
velocity autocorrelation function of the center of inertia of the polymer coil
is considered in detail for both the short and long times when it behaves
according to the t^(-3/2) law and does not depend on any polymer parameters.
The diffusion coefficient of the polymer is close to that from the Zimm theory,
with corrections depending on the ratio between the size of the bead and the
size of the whole coil.
| cond-mat.stat-mech | the rousezimm equation for the position vectors of beads mapping the polymer is generalized by taking into account the viscous aftereffect and the hydrodynamic noise for the noise the random fluctuations of the hydrodynamic tensor of stresses are responsible the preaveraging of the oseen tensor for the nonstationary navierstokes equation allowed us to relate the time correlation functions of the fourier components of the bead position to the correlation functions of the hydrodynamic field created by the noise the velocity autocorrelation function of the center of inertia of the polymer coil is considered in detail for both the short and long times when it behaves according to the t32 law and does not depend on any polymer parameters the diffusion coefficient of the polymer is close to that from the zimm theory with corrections depending on the ratio between the size of the bead and the size of the whole coil | [['the', 'rousezimm', 'equation', 'for', 'the', 'position', 'vectors', 'of', 'beads', 'mapping', 'the', 'polymer', 'is', 'generalized', 'by', 'taking', 'into', 'account', 'the', 'viscous', 'aftereffect', 'and', 'the', 'hydrodynamic', 'noise', 'for', 'the', 'noise', 'the', 'random', 'fluctuations', 'of', 'the', 'hydrodynamic', 'tensor', 'of', 'stresses', 'are', 'responsible', 'the', 'preaveraging', 'of', 'the', 'oseen', 'tensor', 'for', 'the', 'nonstationary', 'navierstokes', 'equation', 'allowed', 'us', 'to', 'relate', 'the', 'time', 'correlation', 'functions', 'of', 'the', 'fourier', 'components', 'of', 'the', 'bead', 'position', 'to', 'the', 'correlation', 'functions', 'of', 'the', 'hydrodynamic', 'field', 'created', 'by', 'the', 'noise', 'the', 'velocity', 'autocorrelation', 'function', 'of', 'the', 'center', 'of', 'inertia', 'of', 'the', 'polymer', 'coil', 'is', 'considered', 'in', 'detail', 'for', 'both', 'the', 'short', 'and', 'long', 'times', 'when', 'it', 'behaves', 'according', 'to', 'the', 't32', 'law', 'and', 'does', 'not', 'depend', 'on', 'any', 'polymer', 'parameters', 'the', 'diffusion', 'coefficient', 'of', 'the', 'polymer', 'is', 'close', 'to', 'that', 'from', 'the', 'zimm', 'theory', 'with', 'corrections', 'depending', 'on', 'the', 'ratio', 'between', 'the', 'size', 'of', 'the', 'bead', 'and', 'the', 'size', 'of', 'the', 'whole', 'coil']] | [-0.11144750437619078, 0.16673447736323077, -0.11271545144926683, 0.00999229795697287, -0.022887323563610087, -0.09256070983381819, -0.040010140136359194, 0.2989109937681366, -0.29145114901568125, -0.2243155644935192, 0.0691800099752831, -0.25865530216486643, -0.09129508242430474, 0.16302428796690033, 0.00718872318821435, 0.05718207835768726, 0.005133794013114757, 0.04596253858250103, -0.05363149837909161, -0.18688042437818075, 0.29213449571108974, 0.08923411375722719, 0.2786619726950858, 0.0388678072624846, 0.1461768887893895, 0.0323474803686586, -0.03833395552926308, 0.04626038284861099, -0.16432312500551505, 0.05485394522424368, 0.14312751301323737, 0.015425736710601887, 0.22393540624183733, -0.4495090933899019, -0.19858690586853897, 0.08721759933854965, 0.11179903277276171, 0.10762997583442965, 0.07227187647656938, -0.2667740201176644, 0.060892114616215035, -0.12672681455802642, -0.13332150561352638, -0.014454126438212317, 0.0724342677207195, 0.11773853176057536, -0.2704521213590309, 0.14915336788067632, 0.08534826522705373, -0.00387338028344887, -0.0935571249204361, -0.1124296594466644, -0.02167078638017572, 0.17306670155287535, 0.10625637033244978, 0.007641772492881248, 0.18867243638737066, -0.1704268685128811, -0.008476699060230016, 0.3947938768106778, -0.07750276615534792, -0.25408943156582237, 0.1404164375826741, -0.1806210138995373, -0.046168983371200546, 0.15748288790041592, 0.1474493839839683, 0.07102325727450176, -0.13220850772901657, 0.07390768267060106, -0.004029222727068607, 0.1953417666022055, 0.05442915480300192, -0.021462748884932686, 0.17656260996514203, 0.1422673663639445, 0.020387080105186195, 0.16932042585747525, -0.13194197640012328, -0.11056698397394048, -0.3060865355223812, -0.16812210276550213, -0.23876281428560986, 0.04838761485758814, -0.18192377850522798, -0.2021032935124051, 0.4007878420498247, 0.12664104198777912, 0.1860317578361931, 0.09051821333053985, 0.26768314350236033, 0.13948340861077438, 0.08780903903002672, 0.05297993141109284, 0.24312397722919651, 0.19165107330757605, 0.12440268094928948, -0.29277725372808855, 0.0777686241249375, 0.07768327663868468] |
709.4105 | Instabilities, nonhermiticity and exceptional points in the cranking
model | A cranking harmonic oscillator model, widely used for the physics of fast
rotating nuclei and Bose-Einstein condensates, is re-investigated in the
context of PT-symmetry. The instability points of the model are identified as
exceptional points. It is argued that - even though the Hamiltonian appears
hermitian at first glance - it actually is not hermitian within the region of
instability.
| quant-ph | a cranking harmonic oscillator model widely used for the physics of fast rotating nuclei and boseeinstein condensates is reinvestigated in the context of ptsymmetry the instability points of the model are identified as exceptional points it is argued that even though the hamiltonian appears hermitian at first glance it actually is not hermitian within the region of instability | [['a', 'cranking', 'harmonic', 'oscillator', 'model', 'widely', 'used', 'for', 'the', 'physics', 'of', 'fast', 'rotating', 'nuclei', 'and', 'boseeinstein', 'condensates', 'is', 'reinvestigated', 'in', 'the', 'context', 'of', 'ptsymmetry', 'the', 'instability', 'points', 'of', 'the', 'model', 'are', 'identified', 'as', 'exceptional', 'points', 'it', 'is', 'argued', 'that', 'even', 'though', 'the', 'hamiltonian', 'appears', 'hermitian', 'at', 'first', 'glance', 'it', 'actually', 'is', 'not', 'hermitian', 'within', 'the', 'region', 'of', 'instability']] | [-0.1411341299977282, 0.1460191841911653, -0.0900379061329596, 0.1243853652107144, -0.019659686640932643, -0.18380113439795015, -0.010171404509837258, 0.3427635292554724, -0.20215856412361408, -0.20413923163994632, 0.08052787856511964, -0.2436428509395698, -0.16266129859562578, 0.16094324358835302, -0.00260724594609828, 0.05588628240090249, 0.022912234983182157, 0.06836313295081772, -0.03572933594214505, -0.19797539033381076, 0.3251939159336275, 0.07654281137992852, 0.2642523954654562, 0.0021574903793376067, 0.06524763823936469, -0.046851673267845964, 0.09864280143238861, -0.05468237261962274, -0.07009809561024102, -0.00991172145987893, 0.26658888170816775, 0.04423838509005848, 0.22955867335007624, -0.37255098208271226, -0.2240862842841909, 0.13048629662632172, 0.21871379405613348, 0.15922045746240124, -0.016889209698500305, -0.27980602438087926, -0.0052650902291824075, -0.1371315934791647, -0.22767080437263537, -0.09779234882368874, 0.06514650107971554, -0.009548477603700655, -0.23227269351000673, 0.0771380762553549, 0.11192635119218251, 0.07668090422220271, -0.06224124873024893, -0.07918213487699113, -0.04319273989551283, 0.012906914183484584, 0.05565373875714581, 0.05189118009253309, 0.12115323935346357, -0.07613504746254406, -0.06234910675517187, 0.4896465028025981, -0.007093558698121844, -0.15282067951971087, 0.16031123803735808, -0.17885749152829422, -0.10045534928714664, 0.12990340940525819, 0.10664744547504032, 0.12663161156072827, -0.13819225442370978, 0.09714779056957923, -0.056218084140584386, 0.14248493732081663, 0.07261022900889531, -0.006450647998055251, 0.2643571166564502, 0.16509392099647685, -0.007312670350074768, 0.10538840059447906, -0.05479209574244531, -0.18559358513046956, -0.327571658698585, -0.08678886967165203, -0.23480825890497914, 0.012266725225721342, -0.014275578693396428, -0.18682804247685547, 0.3881739426147321, 0.09776475270888929, 0.17408224381506443, -0.08097741828332174, 0.2351115102406013, 0.14023856293000603, 0.10812827723165011, 0.0821169972146765, 0.3649919797297053, 0.1663056986149529, 0.09402828743873999, -0.20753634264210946, -0.03474317165091634, 0.09889898111176645] |
709.4106 | Capacitary estimates of solutions of semilinear parabolic equations | We prove an almoste representation formula for positive solutions of
semilinear heat equations with power-type absorption the initial trace of which
is the indicatrix function of a compact set. The representations involves a
Wiener test via Bessel capacities.
| math.AP | we prove an almoste representation formula for positive solutions of semilinear heat equations with powertype absorption the initial trace of which is the indicatrix function of a compact set the representations involves a wiener test via bessel capacities | [['we', 'prove', 'an', 'almoste', 'representation', 'formula', 'for', 'positive', 'solutions', 'of', 'semilinear', 'heat', 'equations', 'with', 'powertype', 'absorption', 'the', 'initial', 'trace', 'of', 'which', 'is', 'the', 'indicatrix', 'function', 'of', 'a', 'compact', 'set', 'the', 'representations', 'involves', 'a', 'wiener', 'test', 'via', 'bessel', 'capacities']] | [-0.1508786928764469, 0.039796481881608455, -0.09474066946957563, 0.039524751378701546, -0.14602677524089813, -0.11443778778099127, -0.024045987470025145, 0.2897613922486434, -0.30812572637522545, -0.16178665851318352, 0.09968150832463761, -0.3340899272746331, -0.15045731323393616, 0.24423650032966523, -0.0190763817848386, 0.09095776107514629, 0.07211918215191848, 0.08160213673034229, -0.10288239401337262, -0.1965116168548529, 0.4360544601002255, -0.05863345862441772, 0.19023829527400635, 0.030194847466977866, 0.19899668433778994, -0.021335329218591388, -0.04765216936986592, -0.059428452488941116, -0.14007480383372387, 0.1138810526227226, 0.2374809093370631, 0.10238262684386526, 0.31129175671879705, -0.36328029738286055, -0.211792805156595, 0.1523615950718522, 0.05723111298740716, 0.031095253036206437, -0.052440244081505646, -0.30237048647895054, 0.04770714453597729, -0.11473495060124912, -0.17884819711734717, -0.0409279135685112, 0.0595510147222494, 0.11054169786842288, -0.37246460487713684, 0.09295246687189147, 0.09130940649255707, 0.033364224952419065, -0.17641389261729815, -0.09868849947343807, -0.012097107668130382, 0.03849338752695838, -0.01446170559958429, 0.0002846307014241009, 0.05491897441144731, -0.14969316099745197, -0.08598258584184018, 0.32527322281856796, -0.15321944883042896, -0.34155146968928546, 0.09513265546411276, -0.18172056748959664, -0.06854236193907422, 0.1455776565078948, 0.1381757657194661, 0.17777320858393167, -0.1685884276128097, 0.12007802173595976, -0.07440483353629306, 0.10634888183463968, 0.15593208556340352, -0.0053468919736710755, 0.14640879318923564, 0.09796743648680481, 0.14541148920417638, 0.23001296492293477, -0.022959465815408808, -0.04123027714573451, -0.37292570409339826, -0.25216143082424597, -0.1978284110428413, 0.14199917091409098, -0.17889440519030433, -0.24631120898836367, 0.35104322262309695, 0.0218881448177067, 0.14589764303653627, 0.1511703755838696, 0.23452883171439926, 0.2670552953735554, 0.020817301789852413, 0.11141724447795265, 0.09127842418446734, 0.20857036861943434, 0.1127558829816612, -0.19358005152222374, 0.03785696404835058, 0.20176479502304182] |
709.4107 | Factorization of Laurent series over commutative rings | We generalize the Wiener-Hopf factorization of Laurent series to more general
commutative coefficient rings, and we give explicit formulas for the
decomposition. We emphasize the algebraic nature of this factorization.
| math.RA | we generalize the wienerhopf factorization of laurent series to more general commutative coefficient rings and we give explicit formulas for the decomposition we emphasize the algebraic nature of this factorization | [['we', 'generalize', 'the', 'wienerhopf', 'factorization', 'of', 'laurent', 'series', 'to', 'more', 'general', 'commutative', 'coefficient', 'rings', 'and', 'we', 'give', 'explicit', 'formulas', 'for', 'the', 'decomposition', 'we', 'emphasize', 'the', 'algebraic', 'nature', 'of', 'this', 'factorization']] | [-0.17279308545015132, -0.042950762528926135, -0.1893029401389261, 0.12948599294371282, -0.1890245088376105, -0.1073120176171263, -0.06362212852885325, 0.32160382767518364, -0.3582634386916955, -0.11382547263056039, 0.09481609508705637, -0.19414091422222554, -0.19776963101079068, 0.14242675664524237, -0.08723424891698718, 0.00823930005232493, 0.00017810525993506115, -0.0003579876385629177, -0.15711721004918217, -0.2831700047012419, 0.39886270302037397, 0.011524424081047376, 0.17695212922990322, 0.08708514686052998, 0.09708013860508799, 0.0900261590257287, -0.13624545286099116, -0.064500309775273, -0.19264019181331, 0.16950675298770268, 0.3644509548942248, 0.0833647489004458, 0.16538294511847199, -0.41991673211256664, -0.04691603439860046, 0.13975812811404467, 0.16586422548086072, 0.08993535165985425, -0.003216636509265906, -0.21576849420865377, 0.12328282153854768, -0.25162409618496895, -0.14337225233515102, -0.2455431138475736, 0.07671353643139203, -0.015002994736035665, -0.31549040985604127, 0.07451764075085521, 0.14306220840662717, 0.092713345742474, -0.043874585255980494, -0.17766855172036836, 0.18007790657381217, 0.03641606030675272, -0.0022118322745275994, -0.12498343585369488, 0.07109035531369348, -0.06565763216931372, -0.1113324494411548, 0.2966323549548785, -0.025667998175291966, -0.22509045077022166, 0.10499342037364841, -0.2124214208374421, -0.21802830106268326, 0.08849732403953871, 0.1149437996869286, 0.18493281652530033, -0.049596869852393866, 0.16409022848238236, -0.15316531797870994, 0.03342886830990513, 0.14053532655040424, 0.03489795860562784, 0.061122565033535164, 0.008128201371679704, 0.0010234743822366, 0.21078159608878194, 0.07285969018315276, -0.0927237423757712, -0.33404946799079577, -0.2018039060290903, -0.10278053767979145, 0.15700679371754328, -0.1993346246109771, -0.2054003640349644, 0.44662403125936784, 0.149862011273702, 0.2025851856917143, 0.1362923271333178, 0.26862684401373066, 0.19419448925182223, 0.03249621397505204, 0.04361615239953001, 0.08575613647699357, 0.28491039263705414, 0.0976151019645234, -0.169142898482581, 0.0005015931092202663, 0.2581595421147843] |
709.4108 | Metal-insulator transition in half-filling two-orbital Hubbard model on
triangular lattice | We have investigated the half-filling two-orbital Hubbard model on a
triangular lattice by means of the dynamical mean-field theory (DMFT). The
densities of states and optical conductivity clearly show the occurence of
metal-insulating transition (MIT) at U$_{c}$, U$_{c}$=18.2, 16.8, 6.12 and 5.85
for J=0, 0.01U, U/4 and U/3, respectively. The distinct continuities of double
occupation of electrons, local square moments and local susceptibility of the
charge, the spin and the orbital at J > 0 suggest that the MIT is the
first-order; however at J=0, the MIT is the second-order in the half-filling
two-orbital Hubbard model on triangular lattices. We attribute the first-order
nature of the MIT to the low symmetry of the systems with finite Hund's
coupling J.
| cond-mat.str-el | we have investigated the halffilling twoorbital hubbard model on a triangular lattice by means of the dynamical meanfield theory dmft the densities of states and optical conductivity clearly show the occurence of metalinsulating transition mit at u_c u_c182 168 612 and 585 for j0 001u u4 and u3 respectively the distinct continuities of double occupation of electrons local square moments and local susceptibility of the charge the spin and the orbital at j 0 suggest that the mit is the firstorder however at j0 the mit is the secondorder in the halffilling twoorbital hubbard model on triangular lattices we attribute the firstorder nature of the mit to the low symmetry of the systems with finite hunds coupling j | [['we', 'have', 'investigated', 'the', 'halffilling', 'twoorbital', 'hubbard', 'model', 'on', 'a', 'triangular', 'lattice', 'by', 'means', 'of', 'the', 'dynamical', 'meanfield', 'theory', 'dmft', 'the', 'densities', 'of', 'states', 'and', 'optical', 'conductivity', 'clearly', 'show', 'the', 'occurence', 'of', 'metalinsulating', 'transition', 'mit', 'at', 'u_c', 'u_c182', '168', '612', 'and', '585', 'for', 'j0', '001u', 'u4', 'and', 'u3', 'respectively', 'the', 'distinct', 'continuities', 'of', 'double', 'occupation', 'of', 'electrons', 'local', 'square', 'moments', 'and', 'local', 'susceptibility', 'of', 'the', 'charge', 'the', 'spin', 'and', 'the', 'orbital', 'at', 'j', '0', 'suggest', 'that', 'the', 'mit', 'is', 'the', 'firstorder', 'however', 'at', 'j0', 'the', 'mit', 'is', 'the', 'secondorder', 'in', 'the', 'halffilling', 'twoorbital', 'hubbard', 'model', 'on', 'triangular', 'lattices', 'we', 'attribute', 'the', 'firstorder', 'nature', 'of', 'the', 'mit', 'to', 'the', 'low', 'symmetry', 'of', 'the', 'systems', 'with', 'finite', 'hunds', 'coupling', 'j']] | [-0.16099176713559527, 0.20919120529514, -0.02243253373107391, 0.05569538581466045, 0.00541939525985448, -0.1409895948288914, 0.11403475802869471, 0.34536019311254396, -0.23094568155095752, -0.2203537627717416, 0.027828397838487128, -0.36123636551201344, -0.08941473785370331, 0.04460462522773265, 0.11530702485670817, 0.0014542103102751847, -0.06269966961880183, 0.01447319310030033, -0.15468147133501117, -0.24543375430371742, 0.2897154988183094, -0.03567715034145733, 0.25866718536317107, 0.1256837644212847, 0.03931467505653614, 0.06144926635998076, 0.16959469084595813, -0.012000651195131499, -0.173447932705099, 0.026195210926054077, 0.2044748698746593, -0.14153241431180003, 0.21232288825759216, -0.36218494693909226, -0.17987977126452687, -0.03840135920447586, 0.07313474236911259, 0.15698355046534462, 0.005341153745419057, -0.3432642023464472, 0.032589983806748685, -0.21572716335830247, -0.12153399896663453, -0.09748557523888504, -0.0022876543346150168, 0.02588037553480184, -0.29943917605801135, 0.17710091652155951, 0.07871011972446436, 0.1560471541135861, -0.08516006213853713, -0.20362856399653287, -0.11370681635513581, 0.047240825137123466, -0.028797690390312145, 0.04723386515879297, 0.06955749436847641, -0.13010201121706533, -0.08730811029190905, 0.41598564995741794, -0.04628329021065367, -0.06003454355282131, 0.19766890408535456, -0.21500100317844673, -0.09723057652470367, 0.12012259358668635, 0.06830698548984745, 0.0568217741293383, -0.12768753680625353, 0.1681377717516092, -0.038081491793554016, 0.18313559013868458, -0.02313703144418782, 0.012087902086305207, 0.22672406744597287, 0.13864540794446809, 0.052299509677987806, 0.1097731641172592, -0.1330211492343645, -0.1583776629152547, -0.253030441099264, -0.07272600060065904, -0.259231518046802, 0.03670851858774329, -0.103693968225406, -0.18596555894353137, 0.417389723094951, 0.1639396103925939, 0.156626721093399, -0.02193259447210886, 0.16054268128334961, 0.16992337271121555, 0.023183572683122072, 0.06101554280933764, 0.23127081645211076, 0.16728786111142935, 0.09639029489661535, -0.35233309956524395, -0.027354778609527595, 0.12748752560482585] |
709.4109 | Enhanced Deflection of Light Ray by Atomic Ensemble on Coherent
Population Oscillation | In recent experiments[e.g., Nature Physics 2, 332 (2006)], the enhanced light
deflection in an atomic ensemble due to inhomogeneous fields is demonstrated by
the electromagnetically induced transparency (EIT) based mechanism. In this
paper, we explore an different mechanism for the similar phenomenon of the
enhanced light deflection. This mechanism is based on the coherent population
oscillation, which leads to the hole burning in the absorption spectrum. The
medium causing the deflection of probe light is an ensemble of two-level atoms
manipulated by a strong controlled field on the two photon resonances. In the
large detuning condition, the response of the medium to the pump field and
signal field is obtained with steady state approximation. And it is found that
after the probe field travels across the medium, the signal ray bends due to
the spatial-dependent profile of the control beam.
| quant-ph | in recent experimentseg nature physics 2 332 2006 the enhanced light deflection in an atomic ensemble due to inhomogeneous fields is demonstrated by the electromagnetically induced transparency eit based mechanism in this paper we explore an different mechanism for the similar phenomenon of the enhanced light deflection this mechanism is based on the coherent population oscillation which leads to the hole burning in the absorption spectrum the medium causing the deflection of probe light is an ensemble of twolevel atoms manipulated by a strong controlled field on the two photon resonances in the large detuning condition the response of the medium to the pump field and signal field is obtained with steady state approximation and it is found that after the probe field travels across the medium the signal ray bends due to the spatialdependent profile of the control beam | [['in', 'recent', 'experimentseg', 'nature', 'physics', '2', '332', '2006', 'the', 'enhanced', 'light', 'deflection', 'in', 'an', 'atomic', 'ensemble', 'due', 'to', 'inhomogeneous', 'fields', 'is', 'demonstrated', 'by', 'the', 'electromagnetically', 'induced', 'transparency', 'eit', 'based', 'mechanism', 'in', 'this', 'paper', 'we', 'explore', 'an', 'different', 'mechanism', 'for', 'the', 'similar', 'phenomenon', 'of', 'the', 'enhanced', 'light', 'deflection', 'this', 'mechanism', 'is', 'based', 'on', 'the', 'coherent', 'population', 'oscillation', 'which', 'leads', 'to', 'the', 'hole', 'burning', 'in', 'the', 'absorption', 'spectrum', 'the', 'medium', 'causing', 'the', 'deflection', 'of', 'probe', 'light', 'is', 'an', 'ensemble', 'of', 'twolevel', 'atoms', 'manipulated', 'by', 'a', 'strong', 'controlled', 'field', 'on', 'the', 'two', 'photon', 'resonances', 'in', 'the', 'large', 'detuning', 'condition', 'the', 'response', 'of', 'the', 'medium', 'to', 'the', 'pump', 'field', 'and', 'signal', 'field', 'is', 'obtained', 'with', 'steady', 'state', 'approximation', 'and', 'it', 'is', 'found', 'that', 'after', 'the', 'probe', 'field', 'travels', 'across', 'the', 'medium', 'the', 'signal', 'ray', 'bends', 'due', 'to', 'the', 'spatialdependent', 'profile', 'of', 'the', 'control', 'beam']] | [-0.1496987400154362, 0.2097745647568301, -0.08172194032909737, 0.04537484304319477, -0.030796091491021485, -0.09774607868543525, 0.03412243871775409, 0.3898983127136025, -0.2863502717290489, -0.33032225162166057, 0.017283696464343305, -0.2516147387247506, -0.09445948231121083, 0.1889485927338866, -0.01895583686485833, 0.004286937083941783, 0.0036370599334188502, -0.0030057449831808213, 0.033954954691894565, -0.16073193239959346, 0.32560300424011596, 0.11587918510684818, 0.3355287557079209, 0.07415169686340331, 0.09859728875482897, 0.037659602239727974, 0.011939908223722479, -0.026890797331165388, -0.062332231107784734, 0.06270087639995509, 0.149411395138545, 0.06619581826058009, 0.22297305732349054, -0.4309512197354929, -0.23598006218102285, 0.07299979767433816, 0.14225048459701997, 0.17008133631001943, -0.11235308361226332, -0.31193137434880724, -0.017169152513789615, -0.11556712760449313, -0.1708530525093992, 0.010359747251562721, 0.017042906047012522, 0.015731456836940143, -0.2703629892676224, 0.047569643840086544, 0.04582407596779036, 0.0341482020767151, -0.03596709631366669, -0.010695691525319712, 0.018932955073219515, 0.050925492654092235, 0.045156792168867296, 0.053379213335260536, 0.19210758273952083, -0.1653905508925857, -0.06484262898008225, 0.38825848532452, -0.1361258548262308, -0.08868719868580961, 0.139529493761336, -0.17798777899483767, 0.003768215223932438, 0.1940312293264345, 0.18562083909448854, 0.1101844910324531, -0.15153956764022544, 0.03291035905101826, -0.02017005284738948, 0.18678170620805498, 0.09531632619876441, 0.06802449319528403, 0.20884000345153345, 0.14912207781843065, 0.04941750758012636, 0.14783182153947277, -0.1230159774774404, -0.05764483044044577, -0.24392391485999598, -0.09228663703028059, -0.14773520682067376, 0.057579077786946896, -0.06905691709562888, -0.13191145278258826, 0.43182650108975795, 0.1469113592212524, 0.1984748926630123, -0.10001316416456713, 0.32385414548003844, 0.15574400804655478, 0.029324432878533927, 0.05327384313065961, 0.37055950145498456, 0.2019889973968321, 0.12147617602064241, -0.2949481784138266, 0.03530732269328516, -0.011052800375941417] |
709.411 | Logarithmic link smearing for full QCD | A Lie-algebra based recipe for smoothing gauge links in lattice field theory
is presented, building on the matrix logarithm. With or without hypercubic
nesting, this LOG/HYL smearing yields fat links which are differentiable w.r.t.
the original ones. This is essential for defining UV-filtered ("fat link")
fermion actions which may be simulated with a HMC-type algorithm. The effect of
this smearing on the distribution of plaquettes and on the residual mass of
tree-level O(a)-improved clover fermions in quenched QCD is studied.
| hep-lat | a liealgebra based recipe for smoothing gauge links in lattice field theory is presented building on the matrix logarithm with or without hypercubic nesting this loghyl smearing yields fat links which are differentiable wrt the original ones this is essential for defining uvfiltered fat link fermion actions which may be simulated with a hmctype algorithm the effect of this smearing on the distribution of plaquettes and on the residual mass of treelevel oaimproved clover fermions in quenched qcd is studied | [['a', 'liealgebra', 'based', 'recipe', 'for', 'smoothing', 'gauge', 'links', 'in', 'lattice', 'field', 'theory', 'is', 'presented', 'building', 'on', 'the', 'matrix', 'logarithm', 'with', 'or', 'without', 'hypercubic', 'nesting', 'this', 'loghyl', 'smearing', 'yields', 'fat', 'links', 'which', 'are', 'differentiable', 'wrt', 'the', 'original', 'ones', 'this', 'is', 'essential', 'for', 'defining', 'uvfiltered', 'fat', 'link', 'fermion', 'actions', 'which', 'may', 'be', 'simulated', 'with', 'a', 'hmctype', 'algorithm', 'the', 'effect', 'of', 'this', 'smearing', 'on', 'the', 'distribution', 'of', 'plaquettes', 'and', 'on', 'the', 'residual', 'mass', 'of', 'treelevel', 'oaimproved', 'clover', 'fermions', 'in', 'quenched', 'qcd', 'is', 'studied']] | [-0.1484186300560348, 0.20483577872064063, -0.11285203603374494, 0.1060982428539496, -0.05661846936813423, -0.13866060611477435, 0.04285280179540784, 0.41334604357018484, -0.1697496979606229, -0.24196920098809452, 0.08307951094594772, -0.2587120301867291, -0.1431752211299374, 0.10688520479620761, -0.05334059949722383, 0.0667102150739981, 0.05217556746422567, 0.034893337476925995, -0.12467381993139331, -0.29146511742978226, 0.3762836154465648, 0.05918986402911606, 0.258751518891326, 0.10452779655211739, 0.07582543102129326, 0.07509728479380538, -0.07795111469730928, -0.011024179856304998, -0.05892268981778535, 0.09180527128726727, 0.1395499387381042, -0.025569881660283192, 0.14689758011176215, -0.3506950620174795, -0.21625686741234468, 0.09696538805622947, 0.14767987748559613, 0.08577752040469318, -0.022691203310009237, -0.2895003345057175, 0.09120961353061842, -0.16563341525903383, -0.1390557692812562, -0.08079649060783158, -0.09078257385030535, -0.042207822639059714, -0.32291465903354155, 0.06214023172226432, 0.006597477343997785, 0.08597712493320177, 0.03867934252341072, -0.14223643835005048, -0.04720315320247954, 0.07919513006912327, 0.052660606827211943, 0.11479628646697898, 0.11583007736639543, -0.1722997463181276, -0.14303332207688166, 0.4122647807098828, -0.025730236512064547, -0.2667813886610138, 0.13875677045011384, -0.09918316673372521, -0.13061411930973849, 0.1366241665484456, 0.1436138576404615, 0.052818137856031004, -0.16777519391873827, 0.12720988519027127, -0.08045686832810571, 0.14070194611906425, 0.07417550579608455, 0.010190355422144587, 0.2031829497571309, 0.16224519149082797, 0.0810480344459995, 0.11592596499461004, -0.03362386780428132, -0.13572760966497582, -0.32577304658177614, -0.10750019847862906, -0.20522001182491129, 0.08913370926392736, -0.1484913893779906, -0.23191778483806638, 0.3761295692559767, 0.12380248972353852, 0.1981392539568947, 0.08453922725113278, 0.28029169198186077, 0.1121858363825973, 0.14135339425184293, 0.057149835106275686, 0.1305158340444716, 0.1406315787780014, 0.032511283395594205, -0.24953486506113565, -0.015310222893808182, 0.20255760103464127] |
709.4111 | h/e-Periodicity in Superconducting Loops | The magnetic flux periodicity of superconducting loops as well as flux
quantization itself are a manifestation of macroscopic quantum phenomena with
far reaching implications. They provide the key to the understanding of many
fundamental properties of superconductors and are the basis for most bulk and
device applications of these materials. In superconducting rings the electrical
current has been known to periodically respond to a magnetic flux with a
periodicity of $\bm{h/2e}$. Here, the ratio of Planck's constant and the
elementary charge defines the magnetic flux quantum $\bm{h/e}$. The well-known
$\bm{h/2e}$ periodicity is viewed to be a hallmark for electronic pairing in
superconductors and is considered evidence for the existence of Cooper pairs.
Here we show that in contrast to this long-term belief, rings of many
superconductor bear an $\bm{h/e}$ periodicity. These superconductors include
the high-$\bm{T_c}$ cuprates, Sr$_2$RuO$_4$, the heavy-fermion superconductors,
as well as all other unconventional superconductors with nodes in the energy
gap functions, and s-wave superconductors with small gaps or states in the gap.
As we show, the 50-year-old Bardeen--Cooper--Schrieffer theory of
superconductivity implies that for multiply connected paths of such
superconductors the ground-state energies and consequently also the
supercurrents are generically $\bm{h/e}$ periodic. The origin of this
periodicity is a magnetic-field driven reconstruction of the condensate and a
concomitant Doppler-shifted energy spectrum. The robust, flux induced
reconstruction of the condensate will be an important aspect to understand the
magnetic properties of mesoscopic unconventional superconductors.
| cond-mat.supr-con cond-mat.mes-hall | the magnetic flux periodicity of superconducting loops as well as flux quantization itself are a manifestation of macroscopic quantum phenomena with far reaching implications they provide the key to the understanding of many fundamental properties of superconductors and are the basis for most bulk and device applications of these materials in superconducting rings the electrical current has been known to periodically respond to a magnetic flux with a periodicity of bmh2e here the ratio of plancks constant and the elementary charge defines the magnetic flux quantum bmhe the wellknown bmh2e periodicity is viewed to be a hallmark for electronic pairing in superconductors and is considered evidence for the existence of cooper pairs here we show that in contrast to this longterm belief rings of many superconductor bear an bmhe periodicity these superconductors include the highbmt_c cuprates sr_2ruo_4 the heavyfermion superconductors as well as all other unconventional superconductors with nodes in the energy gap functions and swave superconductors with small gaps or states in the gap as we show the 50yearold bardeencooperschrieffer theory of superconductivity implies that for multiply connected paths of such superconductors the groundstate energies and consequently also the supercurrents are generically bmhe periodic the origin of this periodicity is a magneticfield driven reconstruction of the condensate and a concomitant dopplershifted energy spectrum the robust flux induced reconstruction of the condensate will be an important aspect to understand the magnetic properties of mesoscopic unconventional superconductors | [['the', 'magnetic', 'flux', 'periodicity', 'of', 'superconducting', 'loops', 'as', 'well', 'as', 'flux', 'quantization', 'itself', 'are', 'a', 'manifestation', 'of', 'macroscopic', 'quantum', 'phenomena', 'with', 'far', 'reaching', 'implications', 'they', 'provide', 'the', 'key', 'to', 'the', 'understanding', 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709.4112 | Cyclotomy Primality Proofs and their Certificates | The first efficient general primality proving method was proposed in the year
1980 by Adleman, Pomerance and Rumely and it used Jacobi sums. The method was
further developed by H. W. Lenstra Jr. and more of his students and the
resulting primality proving algorithms are often referred to under the generic
name of Cyclotomy Primality Proving (CPP). In the present paper we give an
overview of the theoretical background and implementation specifics of CPP,
such as we understand them in the year 2007.
| math.NT | the first efficient general primality proving method was proposed in the year 1980 by adleman pomerance and rumely and it used jacobi sums the method was further developed by h w lenstra jr and more of his students and the resulting primality proving algorithms are often referred to under the generic name of cyclotomy primality proving cpp in the present paper we give an overview of the theoretical background and implementation specifics of cpp such as we understand them in the year 2007 | [['the', 'first', 'efficient', 'general', 'primality', 'proving', 'method', 'was', 'proposed', 'in', 'the', 'year', '1980', 'by', 'adleman', 'pomerance', 'and', 'rumely', 'and', 'it', 'used', 'jacobi', 'sums', 'the', 'method', 'was', 'further', 'developed', 'by', 'h', 'w', 'lenstra', 'jr', 'and', 'more', 'of', 'his', 'students', 'and', 'the', 'resulting', 'primality', 'proving', 'algorithms', 'are', 'often', 'referred', 'to', 'under', 'the', 'generic', 'name', 'of', 'cyclotomy', 'primality', 'proving', 'cpp', 'in', 'the', 'present', 'paper', 'we', 'give', 'an', 'overview', 'of', 'the', 'theoretical', 'background', 'and', 'implementation', 'specifics', 'of', 'cpp', 'such', 'as', 'we', 'understand', 'them', 'in', 'the', 'year', '2007']] | [-0.08018542062463127, 0.024214244006006663, -0.10360176688486553, 0.0859130838092035, -0.09531192984207566, -0.1527918387787888, 0.04656893741872431, 0.31365399354373114, -0.251341308702726, -0.359996685623584, 0.11536681573664073, -0.21961141292409725, -0.18526655680735607, 0.22768282975597554, -0.14528326944347067, 0.0924129239788436, 0.07392095709331782, -0.0071378413542925595, -0.013921899356351918, -0.40839379823890076, 0.27212982745111797, 0.10985703665359192, 0.2511013492223728, 0.035648291351986175, 0.06744677231209464, 0.06013918820072908, -0.11349825496807785, -0.06378266051501395, -0.14851604303322644, 0.11801610949886851, 0.2544017344354147, 0.20047278180494008, 0.2847596647116883, -0.3920376681461818, -0.07548048962693078, 0.07720071361231876, 0.10696230483162834, 0.07837670884398093, -0.03271364366599914, -0.2897862902427294, 0.0833157746132508, -0.16712569480155964, -0.13188594360891953, -0.069939072075558, 0.04733972503321178, 0.025437348948634534, -0.24468910979129463, 0.018447986554287105, 0.14486114531250513, 0.09979067244623081, 0.010027807211525828, -0.17578833896795804, 0.08795977797897825, 0.04871423340666231, 0.04112946982663798, 0.041113920711788786, 0.03044057631842702, -0.041851196376359964, -0.17460902968803085, 0.3459199854363519, -0.03177802497661302, -0.10762858434569046, 0.1590226546409596, -0.07673704096800592, -0.1671752601270059, 0.0514275048332042, 0.1210130871643862, 0.1643995652929038, -0.14406079254730278, 0.09401461292627683, -0.08153061361153083, 0.0744238130913778, 0.139585915105754, -0.08266856381880029, 0.10821537618491664, 0.10947658161139004, 0.029075847893773793, 0.15928533692922758, -0.037900170443526254, -0.032111249370388235, -0.28207224464964076, -0.2331504793725459, -0.1499681287074843, 0.06446947430608323, -0.01781376137546157, -0.12256309804113874, 0.42289908993315983, 0.15772727380663784, 0.08186583069478531, 0.05190402797860912, 0.24184171351637826, 0.10065988824753293, -0.01693569130477417, 0.11712306168166, 0.1979241066174694, 0.16714661874168787, 0.12711137808096337, -0.136860374024654, 0.1059129553207432, 0.15275563010160464] |
709.4113 | Dual Elliptic Primes and Applications to Cyclotomy Primality Proving | Two rational primes p, q are called dual elliptic if there is an elliptic
curve E mod p with q points. They were introduced as an interesting means for
combining the strengths of the elliptic curve and cyclotomy primality proving
algorithms. By extending to elliptic curves some notions of galois theory of
rings used in the cyclotomy primality tests, one obtains a new algorithm which
has heuristic cubic run time and generates certificates that can be verified in
quadratic time.
After the break through of Agrawal, Kayal and Saxena has settled the
complexity theoretical problem of primality testing, some interest remains for
the practical aspect of state of the art implementable proving algorithms.
| math.NT math.RA | two rational primes p q are called dual elliptic if there is an elliptic curve e mod p with q points they were introduced as an interesting means for combining the strengths of the elliptic curve and cyclotomy primality proving algorithms by extending to elliptic curves some notions of galois theory of rings used in the cyclotomy primality tests one obtains a new algorithm which has heuristic cubic run time and generates certificates that can be verified in quadratic time after the break through of agrawal kayal and saxena has settled the complexity theoretical problem of primality testing some interest remains for the practical aspect of state of the art implementable proving algorithms | [['two', 'rational', 'primes', 'p', 'q', 'are', 'called', 'dual', 'elliptic', 'if', 'there', 'is', 'an', 'elliptic', 'curve', 'e', 'mod', 'p', 'with', 'q', 'points', 'they', 'were', 'introduced', 'as', 'an', 'interesting', 'means', 'for', 'combining', 'the', 'strengths', 'of', 'the', 'elliptic', 'curve', 'and', 'cyclotomy', 'primality', 'proving', 'algorithms', 'by', 'extending', 'to', 'elliptic', 'curves', 'some', 'notions', 'of', 'galois', 'theory', 'of', 'rings', 'used', 'in', 'the', 'cyclotomy', 'primality', 'tests', 'one', 'obtains', 'a', 'new', 'algorithm', 'which', 'has', 'heuristic', 'cubic', 'run', 'time', 'and', 'generates', 'certificates', 'that', 'can', 'be', 'verified', 'in', 'quadratic', 'time', 'after', 'the', 'break', 'through', 'of', 'agrawal', 'kayal', 'and', 'saxena', 'has', 'settled', 'the', 'complexity', 'theoretical', 'problem', 'of', 'primality', 'testing', 'some', 'interest', 'remains', 'for', 'the', 'practical', 'aspect', 'of', 'state', 'of', 'the', 'art', 'implementable', 'proving', 'algorithms']] | [-0.190925273948722, 0.045092822858431185, -0.17270291272748625, 0.06269222389663512, -0.08932651323884462, -0.2484007842171179, 0.010207866923265424, 0.308032359437506, -0.30474776837282475, -0.2972365142530308, 0.08856743703332556, -0.24927085086258244, -0.09658959414603897, 0.29408902745380733, -0.12941366099274462, 0.14532326883018282, 0.03160564008012282, 0.03384831778507317, -0.06985883059008953, -0.39465585992613855, 0.29170922593386694, -0.021378497856842205, 0.18443955556052713, 0.027158032352747642, 0.08222991508530635, 0.0334381387976979, -0.0023914157882728407, -0.008055450955191544, -0.14648220617257407, 0.10852042253364075, 0.32863477944289293, 0.16866542690689057, 0.27961046204580803, -0.3807649380008204, -0.11528072733765847, 0.1799692649855814, 0.13244430231655727, 0.03664628461114568, -0.056770468089498774, -0.21912917651367925, 0.12401857025266122, -0.10373352084358313, -0.16294199339963034, -0.09229398825395424, 0.07426420667629062, 0.031769722114951736, -0.2776852273104086, -0.0029061053739448564, 0.10902643499821754, 0.146598110420514, -0.0034762140223344343, -0.17075645907955095, 0.03451524606897636, 0.023070706149348908, 0.044169604735020386, 0.027809277527133185, 0.03935898903065023, -0.09337972725980577, -0.2048193871257909, 0.3489895037836931, -0.0016543153179933079, -0.1258525832399594, 0.09275044826893712, -0.052999084094226094, -0.1475114809283245, 0.14644995616930248, 0.11799479662481926, 0.14842061995141273, -0.027862664729365008, 0.16711554097153855, -0.1145594220099027, 0.14062016383143125, 0.13384730424484717, -0.07072743168512804, 0.12374438857659698, 0.08290336594352317, 0.03640201224418011, 0.12678318858080734, 0.0010751069541938142, -0.07215122943249556, -0.3061239490598704, -0.16284644797823467, -0.14737219058504675, 0.0454527913763773, -0.09959588169629698, -0.12883737173953416, 0.4031408192606363, 0.08842431718434117, 0.1413268953998598, 0.09163488905600775, 0.2281211842679773, 0.11919075186236605, 0.013752080819495352, 0.10394631079562931, 0.1958163253601385, 0.15608830414959682, 0.024931038886440538, -0.1651978781075934, 0.07843883684630283, 0.1673755028578185] |
709.4114 | Measurement of Deeply Virtual Compton Scattering and its t-dependence at
HERA | A measurement of elastic deeply virtual Compton scattering gamma* p -> gamma
p using e-p collision data recorded with the H1 detector at HERA is presented.
The analysed data sample corresponds to an integrated luminosity of 145 pb^-1.
The cross section is measured as a function of the virtuality Q^2 of the
exchanged photon and the centre-of-mass energy W of the gamma*p system in the
kinematic domain 6.5 < Q^2 < 80 GeV^2, 30 < W < 140 GeV and |t| < 1 GeV^2,
where t denotes the squared momentum transfer at the proton vertex. The cross
section is determined differentially in t for different Q^2 and W values and
exponential t-slope parameters are derived. The measurements are compared to a
NLO QCD calculation based on generalised parton distributions. In the context
of the dipole approach, the geometric scaling property of the DVCS cross
section is studied for different values of t.
| hep-ex | a measurement of elastic deeply virtual compton scattering gamma p gamma p using ep collision data recorded with the h1 detector at hera is presented the analysed data sample corresponds to an integrated luminosity of 145 pb1 the cross section is measured as a function of the virtuality q2 of the exchanged photon and the centreofmass energy w of the gammap system in the kinematic domain 65 q2 80 gev2 30 w 140 gev and t 1 gev2 where t denotes the squared momentum transfer at the proton vertex the cross section is determined differentially in t for different q2 and w values and exponential tslope parameters are derived the measurements are compared to a nlo qcd calculation based on generalised parton distributions in the context of the dipole approach the geometric scaling property of the dvcs cross section is studied for different values of t | [['a', 'measurement', 'of', 'elastic', 'deeply', 'virtual', 'compton', 'scattering', 'gamma', 'p', 'gamma', 'p', 'using', 'ep', 'collision', 'data', 'recorded', 'with', 'the', 'h1', 'detector', 'at', 'hera', 'is', 'presented', 'the', 'analysed', 'data', 'sample', 'corresponds', 'to', 'an', 'integrated', 'luminosity', 'of', '145', 'pb1', 'the', 'cross', 'section', 'is', 'measured', 'as', 'a', 'function', 'of', 'the', 'virtuality', 'q2', 'of', 'the', 'exchanged', 'photon', 'and', 'the', 'centreofmass', 'energy', 'w', 'of', 'the', 'gammap', 'system', 'in', 'the', 'kinematic', 'domain', '65', 'q2', '80', 'gev2', '30', 'w', '140', 'gev', 'and', 't', '1', 'gev2', 'where', 't', 'denotes', 'the', 'squared', 'momentum', 'transfer', 'at', 'the', 'proton', 'vertex', 'the', 'cross', 'section', 'is', 'determined', 'differentially', 'in', 't', 'for', 'different', 'q2', 'and', 'w', 'values', 'and', 'exponential', 'tslope', 'parameters', 'are', 'derived', 'the', 'measurements', 'are', 'compared', 'to', 'a', 'nlo', 'qcd', 'calculation', 'based', 'on', 'generalised', 'parton', 'distributions', 'in', 'the', 'context', 'of', 'the', 'dipole', 'approach', 'the', 'geometric', 'scaling', 'property', 'of', 'the', 'dvcs', 'cross', 'section', 'is', 'studied', 'for', 'different', 'values', 'of', 't']] | [-0.08047547336900607, 0.20812149038819408, -0.0883522586935289, 0.10688456329708435, -0.005142044472150913, -0.06765382439384479, 0.0201631237111654, 0.3582228513766233, -0.21422276579558033, -0.29722785516099826, -0.05779791427441324, -0.3582163795937261, 0.10719851941852639, 0.1769505939143391, 0.08818790494872589, 0.13340836024164598, 0.0758116010621139, 0.04631182071529584, -0.05641329074071159, -0.19039846804273658, 0.31644251333607026, 0.05933143083988498, 0.25766621350170404, 0.11338501785361935, 0.14574507306081128, 0.10181368476302963, -0.06925831627968239, -0.08459796768944863, -0.17666557039316003, 0.050367168558295816, 0.2945106861266078, 0.05656545076117379, 0.1199449656422773, -0.2765766079543052, -0.05492650408119167, 0.07826951630923847, 0.1146570657896618, -0.026646832567129335, 0.04377141656283902, -0.24449647742017389, 0.09412957173899734, -0.218737896557336, -0.12534449228455555, -0.0014197256971048575, 0.08271381871739708, -0.029459250574191548, -0.3222671667981434, 0.08260462469619073, -0.03958265857184178, 0.06349666929829305, -0.03767281387014034, -0.24530427169919092, -0.06073908608929854, -0.019984957666378724, 0.04851592927916001, 0.1370752525144282, 0.18140110681598928, -0.14412125607008394, -0.12679371578787926, 0.3369193145660811, -0.005008122901279122, -0.14979457374313712, 0.07655492401602104, -0.24748828609104026, -0.05108879924726303, 0.20934295186084018, 0.2325636278662499, 0.0981897886879168, -0.19544889689231776, 0.16979188951249044, 0.004466454880407769, 0.1722804026148754, 0.12171377555135485, 0.009443439541652492, 0.06251367356959883, 0.18773268504237298, -0.06863829922824077, 0.053836250204867236, -0.18602274726814758, -0.044440042941945875, -0.452189108013169, -0.09151335967679138, -0.1356374366362005, 0.10667141708736755, -0.12131469326742848, -0.04220374655106092, 0.2716493604270971, 0.03552706874773458, 0.3420327170608463, 0.03804161373608784, 0.30317952713693097, 0.15253891506430067, 0.09637548785324987, 0.08330982621600301, 0.26940428887570456, 0.18693086121722494, 0.1822978435148013, -0.20882751316163842, 0.030294673963870904, 0.018636340808046804] |
709.4115 | Singlet ground state probed by crystal field inelastic neutron
spectroscopy on the antiferroquadrupolar system TmGa_{3} | TmGa$_{3}$ (AuCu$_3$ structure) undergoes two phase transitions, an
antiferroquadrupolar transition at $\sim$ 4.29 K and long-range
antiferromagnetic ordering at $\sim$ 4.26 K. Due to the close vicinity of the
two phase transitions, TmGa$_3$ offers an interesting system to study the
interplay of charge and magnetic degrees of freedom. In order to understand
this interplay we have performed inelastic neutron scattering experiments on
TmGa$_{3}$ in the paramagnetic regime ($T >$ 5 K) to redetermine the crystal
electric field level scheme. By fitting our spectra at various temperatures we
obtain a new crystal field level scheme with Lea, Leask and Wolf parameters of
$x_{\rm LLW}$ = -0.44(2) and $W$ = -0.222(2) K. The total crystal field
splitting at 5K amounts to $\sim$ 2.3 meV, about an order of magnitude less
than found previously, but in good agreement with the splitting extrapolated
from the related ErGa$_3$ system.
Our analysis yields a $\Gamma_{2}$ singlet as the crystal field ground state
followed closely by a (nonmagnetic) $\Gamma_{1}$ singlet at 0.009 meV. The next
excited states are a $\Gamma_{5}^{(2)}$ triplet at $\sim$0.5 meV, which is
almost degenerate to a $\Gamma_{4}$ doublet. This level scheme is adverse to
previous findings. Subsequent analysis of the magnetisation along several
crystallographic directions and the temperature dependant susceptibility as
well as of the magnetic contribution to the specific heat are consistent with
our new crystal field parameters. Implications for the antiferroquadrupolar and
the antiferromagnetic transition are discussed.
| cond-mat.str-el | tmga_3 aucu_3 structure undergoes two phase transitions an antiferroquadrupolar transition at sim 429 k and longrange antiferromagnetic ordering at sim 426 k due to the close vicinity of the two phase transitions tmga_3 offers an interesting system to study the interplay of charge and magnetic degrees of freedom in order to understand this interplay we have performed inelastic neutron scattering experiments on tmga_3 in the paramagnetic regime t 5 k to redetermine the crystal electric field level scheme by fitting our spectra at various temperatures we obtain a new crystal field level scheme with lea leask and wolf parameters of x_rm llw 0442 and w 02222 k the total crystal field splitting at 5k amounts to sim 23 mev about an order of magnitude less than found previously but in good agreement with the splitting extrapolated from the related erga_3 system our analysis yields a gamma_2 singlet as the crystal field ground state followed closely by a nonmagnetic gamma_1 singlet at 0009 mev the next excited states are a gamma_52 triplet at sim05 mev which is almost degenerate to a gamma_4 doublet this level scheme is adverse to previous findings subsequent analysis of the magnetisation along several crystallographic directions and the temperature dependant susceptibility as well as of the magnetic contribution to the specific heat are consistent with our new crystal field parameters implications for the antiferroquadrupolar and the antiferromagnetic transition are discussed | [['tmga_3', 'aucu_3', 'structure', 'undergoes', 'two', 'phase', 'transitions', 'an', 'antiferroquadrupolar', 'transition', 'at', 'sim', '429', 'k', 'and', 'longrange', 'antiferromagnetic', 'ordering', 'at', 'sim', '426', 'k', 'due', 'to', 'the', 'close', 'vicinity', 'of', 'the', 'two', 'phase', 'transitions', 'tmga_3', 'offers', 'an', 'interesting', 'system', 'to', 'study', 'the', 'interplay', 'of', 'charge', 'and', 'magnetic', 'degrees', 'of', 'freedom', 'in', 'order', 'to', 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709.4116 | A universality theorem for Voevodsky's algebraic cobordism spectrum | An algebraic version of a theorem due to Quillen is proved. More precisely,
for a ground field k we consider the motivic stable homotopy category SH(k) of
P^1-spectra equipped with the symmetric monoidal structure described in
arXiv:0709.3905v1 [math.AG]. The algebraic cobordism P^1-spectrum MGL is
considered as a commutative monoid equipped with a canonical orientation. For a
commutative monoid E in the category SH(k) we identify the set of monoid
homomorphisms from MGL to E in the motivic stable homotopy category with the
set of all orientations of E. This result was stated originally in a slightly
different form by G. Vezzosi in arXiv:math/0004050v2 [math.AG].
| math.AG math.AT | an algebraic version of a theorem due to quillen is proved more precisely for a ground field k we consider the motivic stable homotopy category shk of p1spectra equipped with the symmetric monoidal structure described in arxiv07093905v1 mathag the algebraic cobordism p1spectrum mgl is considered as a commutative monoid equipped with a canonical orientation for a commutative monoid e in the category shk we identify the set of monoid homomorphisms from mgl to e in the motivic stable homotopy category with the set of all orientations of e this result was stated originally in a slightly different form by g vezzosi in arxivmath0004050v2 mathag | [['an', 'algebraic', 'version', 'of', 'a', 'theorem', 'due', 'to', 'quillen', 'is', 'proved', 'more', 'precisely', 'for', 'a', 'ground', 'field', 'k', 'we', 'consider', 'the', 'motivic', 'stable', 'homotopy', 'category', 'shk', 'of', 'p1spectra', 'equipped', 'with', 'the', 'symmetric', 'monoidal', 'structure', 'described', 'in', 'arxiv07093905v1', 'mathag', 'the', 'algebraic', 'cobordism', 'p1spectrum', 'mgl', 'is', 'considered', 'as', 'a', 'commutative', 'monoid', 'equipped', 'with', 'a', 'canonical', 'orientation', 'for', 'a', 'commutative', 'monoid', 'e', 'in', 'the', 'category', 'shk', 'we', 'identify', 'the', 'set', 'of', 'monoid', 'homomorphisms', 'from', 'mgl', 'to', 'e', 'in', 'the', 'motivic', 'stable', 'homotopy', 'category', 'with', 'the', 'set', 'of', 'all', 'orientations', 'of', 'e', 'this', 'result', 'was', 'stated', 'originally', 'in', 'a', 'slightly', 'different', 'form', 'by', 'g', 'vezzosi', 'in', 'arxivmath0004050v2', 'mathag']] | [-0.1895042882787322, 0.029884439225839957, -0.09374641151268884, 0.09053771210359501, -0.08014263447355663, -0.14762568442003415, -0.026417793060588366, 0.3378274971250408, -0.3858202436182759, -0.19794712956109556, 0.018799266569307166, -0.183889357723517, -0.08789052443560397, 0.16910474190470015, -0.23562563002330833, -0.09779664439305959, 0.027560935934341634, 0.13851238860250772, -0.034770715105725394, -0.2281085056492524, 0.4346607738165277, -0.008089178057369029, 0.21510730975511827, -0.024540319418682174, 0.05622950203181936, 0.020053177071495516, -0.0078110146972507535, 0.03860272421953407, -0.149566697326747, 0.11964297024901993, 0.38083339264929883, 0.02792036440684506, 0.16041354290647708, -0.34209178709010085, -0.057852418908830916, 0.16352119193052744, 0.04767130802634476, -0.025385454096508647, 0.00759130070867169, -0.3445007775974746, 0.18134695332999326, -0.2426702856906865, -0.1116144171141383, -0.03468108068838125, 0.11483168948354144, -0.013899785365061005, -0.25248441337849853, -0.09258948870482717, 0.09469492466069095, 0.17287204267991946, -0.11126141010271846, -0.06625588685228019, -0.10295354154901487, 0.03131054172356899, -0.06229984989080873, 0.07999575463593891, 0.11180422838090338, -0.0463102053422112, -0.1246083748370114, 0.3974640454248627, -0.08147525998514772, -0.17754043128322994, 0.09535853589635969, -0.12266251809507756, -0.17622454321048786, 0.1914316314539992, -0.03907644511707643, 0.19119145684774116, -0.021146046929637726, 0.2360936650214054, -0.1791612079777953, 0.07407675027768912, 0.13926431623352045, -0.024381464310359247, 0.13447519996039808, 0.10342475483516729, 0.05234997902102399, 0.16287115684221729, 0.0433614756911993, -0.030633004336147615, -0.2835085045288105, -0.17916236126260593, -0.08301574923904927, 0.21975297871562144, -0.04555631113137201, -0.18292146483620647, 0.39347186792263816, 0.0517094385588892, 0.15794524326367249, 0.16418322400733976, 0.21449838198795176, -0.0018805008099787859, 0.04155504433576497, 0.01894139937277293, 0.12895981679984028, 0.3089702961537618, 0.018897994061802873, -0.05491723412057698, -0.04699173701078732, 0.24361325478605408] |
709.4117 | Deciding Unambiguity and Sequentiality starting from a Finitely
Ambiguous Max-Plus Automaton | Finite automata with weights in the max-plus semiring are considered. The
main result is: it is decidable in an effective way whether a series that is
recognized by a finitely ambiguous max-plus automaton is unambiguous, or is
sequential. A collection of examples is given to illustrate the hierarchy of
max-plus series with respect to ambiguity.
| cs.CC | finite automata with weights in the maxplus semiring are considered the main result is it is decidable in an effective way whether a series that is recognized by a finitely ambiguous maxplus automaton is unambiguous or is sequential a collection of examples is given to illustrate the hierarchy of maxplus series with respect to ambiguity | [['finite', 'automata', 'with', 'weights', 'in', 'the', 'maxplus', 'semiring', 'are', 'considered', 'the', 'main', 'result', 'is', 'it', 'is', 'decidable', 'in', 'an', 'effective', 'way', 'whether', 'a', 'series', 'that', 'is', 'recognized', 'by', 'a', 'finitely', 'ambiguous', 'maxplus', 'automaton', 'is', 'unambiguous', 'or', 'is', 'sequential', 'a', 'collection', 'of', 'examples', 'is', 'given', 'to', 'illustrate', 'the', 'hierarchy', 'of', 'maxplus', 'series', 'with', 'respect', 'to', 'ambiguity']] | [-0.11587716272069057, 0.09813170655953317, -0.056302584572271865, 0.0964949071703648, -0.1308314015919512, -0.13132344792089, 0.0364754479886456, 0.39820665242997083, -0.4119907818734646, -0.20310694395500997, 0.11500259299593216, -0.27484649457037447, -0.14810253028249876, 0.1907171193467961, -0.15647289659827948, 0.055939993956549604, 0.0770966861397028, 0.11866625107147477, -0.021420867999338292, -0.2894039464945143, 0.3244705487381328, 0.009585167768157342, 0.22615105164321986, -0.02077413335950537, 0.08923413819495843, -0.04618748125027527, -0.06266121307218617, 0.06976104412566532, -0.004117382881469728, 0.0958860205994411, 0.38250232406637885, 0.19238211234015498, 0.30339726709168063, -0.3572056136348031, -0.13350368446077812, 0.1313239556991241, 0.12477613762867722, 0.06896205573258075, -0.007457283503291281, -0.24480935584076427, 0.13203694110058925, -0.20721137726848776, -0.0792516619051722, -0.06799120977520942, 0.1145825476131656, 0.008512141487815164, -0.28469959688796237, -0.007351365806640718, 0.10563248375600034, 0.09324463930996982, -0.0279693608680232, -0.06740444596348838, 0.02861370508643714, 0.08414509932679887, -0.004197445875880393, 0.016814984457398003, 0.028039153724570165, -0.038220056650144135, -0.21163989076898856, 0.37611516050317073, -0.03539564824578437, -0.25615904744375834, 0.2065938893874938, -0.10093915032815527, -0.11561320079490542, 0.15180498429320075, 0.03136659310283986, 0.1103757695718245, -0.12049395001747391, 0.16909686288034373, -0.17533019725233318, 0.17745038965208965, 0.06880379828031767, -0.03315688560462811, 0.1829079782082276, 0.21784704709425567, 0.10298255099491639, 0.1810849943960255, 0.08646247204054486, -0.09033672483637929, -0.33301386738365346, -0.15703839654610915, -0.18620762609114702, 0.037947794117710806, -0.024233759262345052, -0.23789712413298814, 0.37880075733939356, 0.10811880640685559, 0.15251895720985803, 0.12293291525407271, 0.2776808846233921, 0.18038680729540912, 0.03446604733101346, 0.00895568626848134, 0.10108379064635797, 0.1742795314004814, 0.005927597953599285, -0.19196455813097682, 0.12844565031965346, 0.16547159044580026] |
709.4118 | An efficient simulation algorithm based on abstract interpretation | A number of algorithms for computing the simulation preorder are available.
Let Sigma denote the state space, -> the transition relation and Psim the
partition of Sigma induced by simulation equivalence. The algorithms by
Henzinger, Henzinger, Kopke and by Bloom and Paige run in O(|Sigma||->|)-time
and, as far as time-complexity is concerned, they are the best available
algorithms. However, these algorithms have the drawback of a space complexity
that is more than quadratic in the size of the state space. The algorithm by
Gentilini, Piazza, Policriti--subsequently corrected by van Glabbeek and
Ploeger--appears to provide the best compromise between time and space
complexity. Gentilini et al.'s algorithm runs in O(|Psim|^2|->|)-time while the
space complexity is in O(|Psim|^2 + |Sigma|log|Psim|). We present here a new
efficient simulation algorithm that is obtained as a modification of Henzinger
et al.'s algorithm and whose correctness is based on some techniques used in
applications of abstract interpretation to model checking. Our algorithm runs
in O(|Psim||->|)-time and O(|Psim||Sigma|log|Sigma|)-space. Thus, this
algorithm improves the best known time bound while retaining an acceptable
space complexity that is in general less than quadratic in the size of the
state space. An experimental evaluation showed good comparative results with
respect to Henzinger, Henzinger and Kopke's algorithm.
| cs.LO | a number of algorithms for computing the simulation preorder are available let sigma denote the state space the transition relation and psim the partition of sigma induced by simulation equivalence the algorithms by henzinger henzinger kopke and by bloom and paige run in osigmatime and as far as timecomplexity is concerned they are the best available algorithms however these algorithms have the drawback of a space complexity that is more than quadratic in the size of the state space the algorithm by gentilini piazza policritisubsequently corrected by van glabbeek and ploegerappears to provide the best compromise between time and space complexity gentilini et als algorithm runs in opsim2time while the space complexity is in opsim2 sigmalogpsim we present here a new efficient simulation algorithm that is obtained as a modification of henzinger et als algorithm and whose correctness is based on some techniques used in applications of abstract interpretation to model checking our algorithm runs in opsimtime and opsimsigmalogsigmaspace thus this algorithm improves the best known time bound while retaining an acceptable space complexity that is in general less than quadratic in the size of the state space an experimental evaluation showed good comparative results with respect to henzinger henzinger and kopkes algorithm | [['a', 'number', 'of', 'algorithms', 'for', 'computing', 'the', 'simulation', 'preorder', 'are', 'available', 'let', 'sigma', 'denote', 'the', 'state', 'space', 'the', 'transition', 'relation', 'and', 'psim', 'the', 'partition', 'of', 'sigma', 'induced', 'by', 'simulation', 'equivalence', 'the', 'algorithms', 'by', 'henzinger', 'henzinger', 'kopke', 'and', 'by', 'bloom', 'and', 'paige', 'run', 'in', 'osigmatime', 'and', 'as', 'far', 'as', 'timecomplexity', 'is', 'concerned', 'they', 'are', 'the', 'best', 'available', 'algorithms', 'however', 'these', 'algorithms', 'have', 'the', 'drawback', 'of', 'a', 'space', 'complexity', 'that', 'is', 'more', 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'space', 'complexity', 'that', 'is', 'in', 'general', 'less', 'than', 'quadratic', 'in', 'the', 'size', 'of', 'the', 'state', 'space', 'an', 'experimental', 'evaluation', 'showed', 'good', 'comparative', 'results', 'with', 'respect', 'to', 'henzinger', 'henzinger', 'and', 'kopkes', 'algorithm']] | [-0.08297759152097155, 0.04515374155363449, -0.07816918658507611, 0.051175066402937175, -0.07103391562303808, -0.13835692869431768, 0.06952837506885799, 0.36281303347237986, -0.22869798546859638, -0.38313057891200564, 0.09697968151101871, -0.2490214294382405, -0.16255245276200803, 0.23369018067461028, -0.08894094498828053, 0.0978078229468644, 0.056310857670294805, -0.0030833147331973333, -0.06056889956708457, -0.31638329662865156, 0.2512615459338989, 0.12449140360800869, 0.24039948292660474, -0.012985742028435894, 0.08519852600649115, 0.01614812797012647, -0.027272234908474, 0.05497036943193453, -0.132532064565854, 0.10187597247805698, 0.23724521223275918, 0.2076803991628975, 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709.4119 | Idempotent and tropical mathematics and problems of mathematical physics
(Volume II) | This volume contains the proceedings of an International Workshop on
Idempotent and Tropical Mathematics and Problems of Mathematical Physics, held
at the Independent University of Moscow, Russia, on August 25-30, 2007.
| math.RA math-ph math.AG math.AP math.MP math.OA math.OC math.RT | this volume contains the proceedings of an international workshop on idempotent and tropical mathematics and problems of mathematical physics held at the independent university of moscow russia on august 2530 2007 | [['this', 'volume', 'contains', 'the', 'proceedings', 'of', 'an', 'international', 'workshop', 'on', 'idempotent', 'and', 'tropical', 'mathematics', 'and', 'problems', 'of', 'mathematical', 'physics', 'held', 'at', 'the', 'independent', 'university', 'of', 'moscow', 'russia', 'on', 'august', '2530', '2007']] | [-0.011629003730993117, 0.12600010305487236, -0.1050400729291141, -0.014012984439520346, -0.07583430169090148, -0.03690992935650771, 0.012907107030191729, 0.1485545088747336, -0.20300530709867035, -0.403802098225682, 0.19190950150932035, -0.3740427882050074, -0.09267368732440856, 0.22756542529790633, -0.2058817979188696, -0.08856302914359877, 0.09832090943030292, 0.014321469221143954, -0.00736819357881623, -0.3698769130053059, 0.22149394396241875, 0.1691793197345349, 0.3525730870183437, 0.17844410758886126, 0.2232071030284128, 0.06938720996221227, -0.15766019329537578, -0.08122805710281095, -0.09275101215368317, 0.1652211169862459, 0.4345648804859769, 0.17805315859990398, 0.2930232960911047, -0.46628208434389484, 0.013162337123386322, 0.003382192902086723, -0.1033101170774429, -0.05303430154679283, 0.05271047935821116, -0.2905700788983414, -0.1470776891876613, -0.19527597713374323, -0.14975289657952323, 0.1538552806352175, 0.11451769833483043, -0.009820252228828688, -0.08961463356090169, 0.021948136299127532, 0.012860488867567431, 0.3218540701894991, 0.004538113191243141, -0.27202639239089144, 0.004690926386824538, 0.0962789069184979, -0.06994972975864526, 0.04610710574929873, 0.08616019569097026, -0.03320399150458885, -0.17920668663517123, 0.39748725301075366, 0.07683500001627591, 0.09359599310424059, 0.21091387721319352, -0.18988242946685321, -0.25681942184605905, 0.06754305907675336, 0.3770837003905927, 0.012572605290540283, -0.11122682139337543, 0.2527503056053613, -0.08904948061512362, 0.2145799969983918, 0.19413302140310407, -0.1106080149690951, 0.2745179698592232, 0.15586004730674527, -0.009600824526240748, 0.03417223290682981, -0.03330766689783383, -0.14193476327965338, -0.4264500174791582, -0.08430656102756338, -0.11107039516941915, -0.01630064673841961, 0.07872266962376964, -0.17626270291305357, 0.3864718804196004, 0.06801672129621429, -0.014340679371549238, -0.14729797864152538, 0.15089196774868235, 0.00175135888745107, -0.09031890879475302, 0.14657767507578096, 0.2233316875513523, 0.18554700896023743, 0.2960987457885377, -0.08356658854491768, -0.018759440074885083, 0.19433704433181592] |
709.412 | Superfrustration of charge degrees of freedom | We review recent results, obtained with P. Fendley, on frustration of quantum
charges in lattice models for itinerant fermions with strong repulsive
interactions. A judicious tuning of kinetic and interaction terms leads to
models possessing supersymmetry. In such models frustration takes the form of
what we call superfrustration: an extensive degeneracy of supersymmetric ground
states. We present a gallery of examples of superfrustration on a variety of 2D
lattices.
| cond-mat.str-el | we review recent results obtained with p fendley on frustration of quantum charges in lattice models for itinerant fermions with strong repulsive interactions a judicious tuning of kinetic and interaction terms leads to models possessing supersymmetry in such models frustration takes the form of what we call superfrustration an extensive degeneracy of supersymmetric ground states we present a gallery of examples of superfrustration on a variety of 2d lattices | [['we', 'review', 'recent', 'results', 'obtained', 'with', 'p', 'fendley', 'on', 'frustration', 'of', 'quantum', 'charges', 'in', 'lattice', 'models', 'for', 'itinerant', 'fermions', 'with', 'strong', 'repulsive', 'interactions', 'a', 'judicious', 'tuning', 'of', 'kinetic', 'and', 'interaction', 'terms', 'leads', 'to', 'models', 'possessing', 'supersymmetry', 'in', 'such', 'models', 'frustration', 'takes', 'the', 'form', 'of', 'what', 'we', 'call', 'superfrustration', 'an', 'extensive', 'degeneracy', 'of', 'supersymmetric', 'ground', 'states', 'we', 'present', 'a', 'gallery', 'of', 'examples', 'of', 'superfrustration', 'on', 'a', 'variety', 'of', '2d', 'lattices']] | [-0.19290965633547824, 0.1900670653012112, -0.02333763005984677, 0.038274995010832084, -0.05723666548189046, -0.1629678743918413, 0.03404263735148192, 0.3611134447265362, -0.18918279291171095, -0.29259730538056383, -0.0020377911910738635, -0.3222624836759507, -0.15163289560544965, 0.12902169091546017, -0.0055236743587622605, 0.03451995022486949, 0.0729786395938878, -0.014085468787200532, -0.09546786431304138, -0.24806809088930595, 0.32043188979066367, -0.00912863434717545, 0.24346075505288184, 0.09657495638247633, 0.09549196311475142, 0.017315986748460844, 0.11384376679020732, 0.017327693135788042, -0.1984206734603082, 0.1594157682122676, 0.1625998113653939, 0.00533925540799248, 0.19739113756172036, -0.4383227192405341, -0.21772170378624098, 0.08361609521713378, 0.13028505178627328, 0.17742215194132016, -0.06892990461631637, -0.32054996377100115, -0.007203071315745837, -0.2014470838037306, -0.09546636416158383, -0.15778306462680516, -0.027071710244037102, -0.011011857701384502, -0.30342042794370133, 0.06485392189706149, 0.07723473002999157, 0.14568044412611186, -0.07638562095108563, -0.12123979031837182, -0.03533839621999557, 0.04035190027207136, 0.05803759798299575, -0.0010703675975294216, 0.047853195115222014, -0.22316383453679906, -0.18534870154183844, 0.4263221755880269, -0.05071452641994625, -0.19699692143046338, 0.2424910374161234, -0.07146039848094402, -0.13897574638974838, 0.10501018544470055, 0.15395873301810975, 0.0722898850419923, -0.05350318532167138, 0.1559281882524585, -0.07656540638645706, 0.15044866591368034, -0.007802588446740655, 0.07107659808589496, 0.2635609277024649, 0.16758959794896183, 0.02875694930823385, 0.18885496478406308, -0.026947257939078238, -0.12985120204857725, -0.30541980817266134, -0.12016309291610251, -0.21172905709607986, 0.10441280634857822, -0.08140935489643818, -0.19112994637259323, 0.4107886567151687, 0.15785619722125863, 0.20682396398236355, -0.020429360329348972, 0.15958894926892675, 0.06274306973901347, 0.049061926500196903, -0.03564894324728706, 0.2198532905659058, 0.10348653466022317, 0.03511870865696582, -0.2263074584197307, -0.06937320850809793, 0.11493515835373082] |
709.4121 | Ginzburg-Landau theory of noncentrosymmetric superconductors | The data of temperature dependent superfluid density $n_s(T)$ in
Li$_2$Pd$_3$B and Li$_2$Pt$_3$B [Yuan {\it et al.}, \phrl97, 017006 (2006)]
show that a sudden change of the slope of $n_s (T)$ occur at slightly lower
than the critical temperature. Motivated by this observation, we
microscopically derive the Ginzburg-Landau (GL) equations for
noncentrosymmetric superconductors with Rashba type spin orbit interaction.
Cooper pairing is assumed to occur between electrons only in the same spin
split band and pair scattering is allowed to occur between two spin split
bands. The GL theory of such a system predicts two transition temperatures, the
higher of which is the conventional critical temperature $T_c$ while the lower
one $T^*$ corresponds to the cross-over from a mixed singlet-triplet phase at
lower temperatures to only spin-singlet or spin-triplet (depending on the sign
of the interband scattering potential) phase at higher temperatures. As a
consequence, $n_s (T)$ shows a kink at this cross-over temperature. We
attribute the temperature at which sudden change of slope occurs in the
observed $n_s (T)$ to the temperature $T^*$. This may also be associated with
the observed kink in the penetration depth data of CePt$_3$Si. We have also
estimated critical field near critical temperature.
| cond-mat.supr-con | the data of temperature dependent superfluid density n_st in li_2pd_3b and li_2pt_3b yuan it et al phrl97 017006 2006 show that a sudden change of the slope of n_s t occur at slightly lower than the critical temperature motivated by this observation we microscopically derive the ginzburglandau gl equations for noncentrosymmetric superconductors with rashba type spin orbit interaction cooper pairing is assumed to occur between electrons only in the same spin split band and pair scattering is allowed to occur between two spin split bands the gl theory of such a system predicts two transition temperatures the higher of which is the conventional critical temperature t_c while the lower one t corresponds to the crossover from a mixed singlettriplet phase at lower temperatures to only spinsinglet or spintriplet depending on the sign of the interband scattering potential phase at higher temperatures as a consequence n_s t shows a kink at this crossover temperature we attribute the temperature at which sudden change of slope occurs in the observed n_s t to the temperature t this may also be associated with the observed kink in the penetration depth data of cept_3si we have also estimated critical field near critical temperature | [['the', 'data', 'of', 'temperature', 'dependent', 'superfluid', 'density', 'n_st', 'in', 'li_2pd_3b', 'and', 'li_2pt_3b', 'yuan', 'it', 'et', 'al', 'phrl97', '017006', '2006', 'show', 'that', 'a', 'sudden', 'change', 'of', 'the', 'slope', 'of', 'n_s', 't', 'occur', 'at', 'slightly', 'lower', 'than', 'the', 'critical', 'temperature', 'motivated', 'by', 'this', 'observation', 'we', 'microscopically', 'derive', 'the', 'ginzburglandau', 'gl', 'equations', 'for', 'noncentrosymmetric', 'superconductors', 'with', 'rashba', 'type', 'spin', 'orbit', 'interaction', 'cooper', 'pairing', 'is', 'assumed', 'to', 'occur', 'between', 'electrons', 'only', 'in', 'the', 'same', 'spin', 'split', 'band', 'and', 'pair', 'scattering', 'is', 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'of', 'cept_3si', 'we', 'have', 'also', 'estimated', 'critical', 'field', 'near', 'critical', 'temperature']] | [-0.18010848865853812, 0.25865088088962973, -0.05624033414582931, 0.036715923646959116, -0.041740576595267545, -0.17909123433744345, 0.11422862369289184, 0.3239666674837318, -0.23396784139557134, -0.31309230650575565, -0.0019366269781520323, -0.2943405034115576, -0.06303807703317238, 0.168297932642436, 0.035031790719177495, -0.019502957843301097, -0.08023028176073554, 0.06221376984452648, -0.1451553814882313, -0.21237348337843065, 0.3187417079598348, 0.013426807808822818, 0.3049784671201618, 0.111152115506025, -0.0002546808741777679, -0.019946958286431143, 0.11186762299383896, 0.013324419098279002, -0.18166323376443666, -0.034963488496830494, 0.2635441229643647, -0.06746493194701284, 0.1721932750755959, -0.3707728884277903, -0.23491892701356995, 0.09004353746719544, 0.11570980224986466, 0.11696848174799424, 0.011535814967438844, -0.24322583906029407, 0.015287743456072497, 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709.4122 | Symmetries in projective multiresolution analyses | We give an equivariant version of Packer and Rieffel's theorem on sufficient
conditions for the existence of orthonormal wavelets in projective
multiresolution analyses. The scaling functions that generate a projective
multiresolution analysis are supposed to be invariant with respect to some
finite group action. We give sufficient conditions for the existence of
wavelets with similar invariance.
| math.FA | we give an equivariant version of packer and rieffels theorem on sufficient conditions for the existence of orthonormal wavelets in projective multiresolution analyses the scaling functions that generate a projective multiresolution analysis are supposed to be invariant with respect to some finite group action we give sufficient conditions for the existence of wavelets with similar invariance | [['we', 'give', 'an', 'equivariant', 'version', 'of', 'packer', 'and', 'rieffels', 'theorem', 'on', 'sufficient', 'conditions', 'for', 'the', 'existence', 'of', 'orthonormal', 'wavelets', 'in', 'projective', 'multiresolution', 'analyses', 'the', 'scaling', 'functions', 'that', 'generate', 'a', 'projective', 'multiresolution', 'analysis', 'are', 'supposed', 'to', 'be', 'invariant', 'with', 'respect', 'to', 'some', 'finite', 'group', 'action', 'we', 'give', 'sufficient', 'conditions', 'for', 'the', 'existence', 'of', 'wavelets', 'with', 'similar', 'invariance']] | [-0.1452381659931104, 0.0664719739852444, -0.19817456200585834, 0.09107416262850165, -0.09756559914343857, -0.1168157674588396, -0.05973252565932593, 0.3694866796556328, -0.2599731374398938, -0.17965210471655674, 0.15266834657398118, -0.18968245688094093, -0.15834736843992556, 0.19096976866213872, -0.1423189386093457, 0.07308783294034324, 0.06655914081992316, 0.05859113467990288, -0.1521827299272575, -0.23111213434926217, 0.35750530500497135, 0.04549471264804846, 0.2985343560576439, 0.024205155703904375, 0.10484131216071546, 0.007907872113199639, -0.05484764183139695, -0.05188427845548306, -0.18889521261592432, 0.1112878150306642, 0.28782476815519786, 0.13085336932480068, 0.20973907923325896, -0.4040537861042789, -0.12145237142353185, 0.19387500315705047, 0.06849449449717733, 0.039453676635665555, -0.046100282819159996, -0.34125292264590307, 0.1468665984825098, -0.10246968239412776, -0.18462266871106944, -0.20106325424941524, 0.002237847515581442, 0.05065737322833489, -0.31821137940278277, 0.06200022488233766, 0.11706253067989435, 0.14425003398875041, -0.12234011165232264, -0.007894414726511709, -0.012101833001776998, 0.04905991953065885, -0.012115441495552659, 0.03020731089470376, 0.05243369514521744, -0.008191011017645775, -0.10289637069217861, 0.36801079160068184, -0.07336861668487213, -0.33543760602229405, 0.18297173139373107, -0.12757696856611542, -0.22100611086768499, 0.11327200250733378, 0.15155458393772797, 0.10655188853187221, -0.08293625418030258, 0.08789765551981484, -0.1480480035367821, 0.09786832206217307, 0.0989850038645922, 0.06921374186640605, 0.09568199126182922, 0.03983605606481433, 0.16613058887222515, 0.15529154372260173, 0.013595791704054656, -0.020603127611268843, -0.41248696284102543, -0.14400544526454592, -0.12332710539340042, 0.10155114154206656, -0.13055567232965717, -0.20443524644776648, 0.4216818250050502, 0.13166823618147255, 0.18547630208169202, 0.12526303356779472, 0.18588924002168433, 0.09398027438562297, 0.04949341419186177, 0.029953040299005806, 0.13003405272788118, 0.2304269036810313, -0.005733918124211154, -0.1212819720884519, -0.0295892007499268, 0.23055237960735603] |
709.4123 | Statistics of the polariton condensate | The influence of polariton-polariton scattering on the statistics of the
polariton condensate in a non-resonantly excited semiconductor quantum well
embedded in a CdTe semiconductor microcavity is discussed. Taking advantage of
the existence of a bottleneck in the polariton dispersion curve, the polariton
states are separated into two domains: reservoir polaritons inside the
bottleneck and active polaritons with wave vector q whose energy lies below the
bottleneck. In the framework of the master equation formalism, the
non-equilibrium stationary reduced density matrix is calculated and the
statistics of polaritons in the condensate at q=0 is determined. The anomalous
correlations between the polaritons in the condensate and those with wave
vectors q, -q leads to an enhancement of the noise in the condensate. As a
consequence, the second order correlation function of the condensate does not
show the full coherence that is characteristic of laser emission.
| cond-mat.other cond-mat.supr-con | the influence of polaritonpolariton scattering on the statistics of the polariton condensate in a nonresonantly excited semiconductor quantum well embedded in a cdte semiconductor microcavity is discussed taking advantage of the existence of a bottleneck in the polariton dispersion curve the polariton states are separated into two domains reservoir polaritons inside the bottleneck and active polaritons with wave vector q whose energy lies below the bottleneck in the framework of the master equation formalism the nonequilibrium stationary reduced density matrix is calculated and the statistics of polaritons in the condensate at q0 is determined the anomalous correlations between the polaritons in the condensate and those with wave vectors q q leads to an enhancement of the noise in the condensate as a consequence the second order correlation function of the condensate does not show the full coherence that is characteristic of laser emission | [['the', 'influence', 'of', 'polaritonpolariton', 'scattering', 'on', 'the', 'statistics', 'of', 'the', 'polariton', 'condensate', 'in', 'a', 'nonresonantly', 'excited', 'semiconductor', 'quantum', 'well', 'embedded', 'in', 'a', 'cdte', 'semiconductor', 'microcavity', 'is', 'discussed', 'taking', 'advantage', 'of', 'the', 'existence', 'of', 'a', 'bottleneck', 'in', 'the', 'polariton', 'dispersion', 'curve', 'the', 'polariton', 'states', 'are', 'separated', 'into', 'two', 'domains', 'reservoir', 'polaritons', 'inside', 'the', 'bottleneck', 'and', 'active', 'polaritons', 'with', 'wave', 'vector', 'q', 'whose', 'energy', 'lies', 'below', 'the', 'bottleneck', 'in', 'the', 'framework', 'of', 'the', 'master', 'equation', 'formalism', 'the', 'nonequilibrium', 'stationary', 'reduced', 'density', 'matrix', 'is', 'calculated', 'and', 'the', 'statistics', 'of', 'polaritons', 'in', 'the', 'condensate', 'at', 'q0', 'is', 'determined', 'the', 'anomalous', 'correlations', 'between', 'the', 'polaritons', 'in', 'the', 'condensate', 'and', 'those', 'with', 'wave', 'vectors', 'q', 'q', 'leads', 'to', 'an', 'enhancement', 'of', 'the', 'noise', 'in', 'the', 'condensate', 'as', 'a', 'consequence', 'the', 'second', 'order', 'correlation', 'function', 'of', 'the', 'condensate', 'does', 'not', 'show', 'the', 'full', 'coherence', 'that', 'is', 'characteristic', 'of', 'laser', 'emission']] | [-0.17569723530587825, 0.22351740987841578, -0.09511040076222661, 0.06266906442140209, 0.03474577076055787, -0.08306509091956801, 0.01326714537897753, 0.3548705036836592, -0.24147595917819054, -0.23656450395824036, -0.022279764580136568, -0.3019676018779824, -0.08529406254199313, 0.17526131363950306, 0.05095578700799, 0.058030078653246164, -0.004560180874606529, 0.021437411935726455, -0.03238209745508026, -0.18782333808566828, 0.34853388656946743, -0.04052267992181925, 0.34304894988223184, 0.11535036061089356, 0.1057309554303651, 0.00583254996120565, 0.09625462552132019, -0.06025598004584077, -0.11711425867145987, 0.08419770527251677, 0.23602833824844419, -0.004291276799163202, 0.2657923723841281, -0.42374700795325054, -0.22932425935401002, 0.07172460857961145, 0.2094543637248681, 0.1563983935393862, -0.03094461127721633, -0.3158792760280137, -0.014745952678727104, -0.12412064674903046, -0.14666639127071712, 0.0042122459178302, 0.004119382832537998, 0.019907557734425044, -0.22400781272917047, 0.0975080556659536, 0.09003131249772997, 0.005124490709130333, -0.06379337984599642, -0.0697112759262636, -0.06321737796582698, 0.058023566122889725, -0.024863341237073178, 0.0418983788971978, 0.1504381264143109, -0.1817472908137874, -0.06709993347139716, 0.3746165774267662, -0.14641823167375362, -0.15423791344709845, 0.11780176912206453, -0.201279242229941, 0.028761907575091908, 0.1917829046390586, 0.16444915679276928, 0.0630080372199312, -0.0949345600263743, 0.08414669644935838, -0.026756842090492627, 0.16124868022206312, 0.06634690370606063, 0.12972586737437683, 0.2510951016020108, 0.18878781680226117, 0.011506545165280154, 0.16344404320226058, -0.0836396622878558, -0.11435371379602466, -0.30237464274611925, -0.16818789569512957, -0.26857823805909575, 0.039085454189351276, -0.06890044721802843, -0.1790348221385083, 0.4165548055361097, 0.07467456883588038, 0.17856955365440647, -0.009003610343678848, 0.2962668044166965, 0.20953059303851057, 0.07562686080256334, 0.0433674310073517, 0.28194573753467805, 0.20739654590818588, 0.07694767977247809, -0.3156277672829305, 0.0023933526428116785, 0.024116239715628065] |
709.4124 | On the relation of Voevodsky's algebraic cobordism to Quillen's K-theory | Quillen's algebraic K-theory is reconstructed via Voevodsky's algebraic
cobordism. More precisely, for a ground field k the algebraic cobordism
P^1-spectrum MGL of Voevodsky is considered as a commutative P^1-ring spectrum.
There is a unique ring morphism MGL^{2*,*}(k)--> Z which sends the class
[X]_{MGL} of a smooth projective k-variety X to the Euler characteristic of the
structure sheaf of X. Our main result states that there is a canonical grade
preserving isomorphism of ring cohomology theories MGL^{*,*}(X,U)
\tensor_{MGL^{2*,*}(k)} Z --> K^{TT}_{- *}(X,U) = K'_{- *}(X-U)} on the
category of smooth k-varieties, where K^{TT}_* is Thomason-Trobaugh K-theory
and K'_* is Quillen's K'-theory. In particular, the left hand side is a ring
cohomology theory. Moreover both theories are oriented and the isomorphism
above respects the orientations. The result is an algebraic version of a
theorem due to Conner and Floyd. That theorem reconstructs complex K-theory via
complex cobordism.
| math.AG math.KT | quillens algebraic ktheory is reconstructed via voevodskys algebraic cobordism more precisely for a ground field k the algebraic cobordism p1spectrum mgl of voevodsky is considered as a commutative p1ring spectrum there is a unique ring morphism mgl2k z which sends the class x_mgl of a smooth projective kvariety x to the euler characteristic of the structure sheaf of x our main result states that there is a canonical grade preserving isomorphism of ring cohomology theories mglxu tensor_mgl2k z ktt_ xu k_ xu on the category of smooth kvarieties where ktt_ is thomasontrobaugh ktheory and k_ is quillens ktheory in particular the left hand side is a ring cohomology theory moreover both theories are oriented and the isomorphism above respects the orientations the result is an algebraic version of a theorem due to conner and floyd that theorem reconstructs complex ktheory via complex cobordism | [['quillens', 'algebraic', 'ktheory', 'is', 'reconstructed', 'via', 'voevodskys', 'algebraic', 'cobordism', 'more', 'precisely', 'for', 'a', 'ground', 'field', 'k', 'the', 'algebraic', 'cobordism', 'p1spectrum', 'mgl', 'of', 'voevodsky', 'is', 'considered', 'as', 'a', 'commutative', 'p1ring', 'spectrum', 'there', 'is', 'a', 'unique', 'ring', 'morphism', 'mgl2k', 'z', 'which', 'sends', 'the', 'class', 'x_mgl', 'of', 'a', 'smooth', 'projective', 'kvariety', 'x', 'to', 'the', 'euler', 'characteristic', 'of', 'the', 'structure', 'sheaf', 'of', 'x', 'our', 'main', 'result', 'states', 'that', 'there', 'is', 'a', 'canonical', 'grade', 'preserving', 'isomorphism', 'of', 'ring', 'cohomology', 'theories', 'mglxu', 'tensor_mgl2k', 'z', 'ktt_', 'xu', 'k_', 'xu', 'on', 'the', 'category', 'of', 'smooth', 'kvarieties', 'where', 'ktt_', 'is', 'thomasontrobaugh', 'ktheory', 'and', 'k_', 'is', 'quillens', 'ktheory', 'in', 'particular', 'the', 'left', 'hand', 'side', 'is', 'a', 'ring', 'cohomology', 'theory', 'moreover', 'both', 'theories', 'are', 'oriented', 'and', 'the', 'isomorphism', 'above', 'respects', 'the', 'orientations', 'the', 'result', 'is', 'an', 'algebraic', 'version', 'of', 'a', 'theorem', 'due', 'to', 'conner', 'and', 'floyd', 'that', 'theorem', 'reconstructs', 'complex', 'ktheory', 'via', 'complex', 'cobordism']] | [-0.2581807853618075, 0.016232981159619693, -0.14692164311760708, 0.09009350263102747, -0.10521813154200037, -0.20088348781813264, -0.06684481711143984, 0.29846765883677806, -0.4072843438548529, -0.16653316037948518, 0.05923825409306172, -0.21333039625246517, -0.12421105400083915, 0.1963988313150099, -0.2094500194892616, -0.08119315975893508, 0.008539408301551114, 0.09211598723263972, -0.06698267993873314, -0.2569216365518514, 0.44505887845298275, -0.027105849263641763, 0.22261646289981024, 0.04783434107412177, 0.09897718331023284, 0.013330285838010776, 0.02254374952548567, -0.013648493830046123, -0.12455186986688419, 0.11717995507291669, 0.3781806646301822, 0.032806635947268015, 0.1338355176601052, -0.3207902998718269, -0.08251715889063609, 0.1798124228405547, 0.0758256436948774, -0.009951042774071753, -0.015025088306441937, -0.304731821463279, 0.17990365053126023, -0.1587295231395675, -0.11770377650185872, -0.07089590950122596, 0.09710171060407233, -0.022158614202292964, -0.229994346619231, -0.026891318173832533, 0.11543904874227284, 0.1814855563262587, -0.06417101256289136, -0.025890141266726834, -0.12353089143118054, 0.043312751575071806, -0.029273168218102965, 0.14304927300648107, 0.15073338423869298, -0.08263566366889898, -0.13171965129303692, 0.3690559630117872, -0.038168578271699304, -0.16660114137373647, 0.11470224497401539, -0.1335874436840908, -0.17647102539194748, 0.19560628335731214, -0.05996926904053373, 0.19470056864391902, 0.05857521554871175, 0.285647112505103, -0.17000540839645134, 0.1108914763728321, 0.09198890729492311, -0.026320714510374647, 0.10238216285292498, 0.05137479306808125, 0.07804381564967437, 0.09960835701820221, 0.018922203636440614, -0.05310151067918495, -0.33499800461097895, -0.2354559966513668, -0.10451619655599215, 0.2416111725529738, -0.09212585807889649, -0.1594071270117317, 0.42158149738850836, 0.033983925043310804, 0.1817992860382861, 0.15116478130991762, 0.29662458697224364, 0.03054717312539544, 0.0020943737973164603, 0.015013533718849751, 0.09574548496268964, 0.3236147759085083, 0.0008848662837408483, -0.06103369699934881, -0.04831992051399806, 0.27213048773153464] |
709.4125 | Work extremum principle: Structure and function of quantum heat engines | We consider a class of quantum heat engines consisting of two subsystems
interacting via a unitary transformation and coupled to two separate baths at
different temperatures $T_h > T_c$. The purpose of the engine is to extract
work due to the temperature difference. Its dynamics is not restricted to the
near equilibrium regime. The engine structure is determined by maximizing the
extracted work under various constraints. When this maximization is carried out
at finite power, the engine dynamics is described by well-defined temperatures
and satisfies the local version of the second law. In addition, its efficiency
is bounded from below by the Curzon-Ahlborn value $1-\sqrt{T_c/T_h}$ and from
above by the Carnot value $1-(T_c/T_h)$. The latter is reached|at finite
power|for a macroscopic engine, while the former is achieved in the equilibrium
limit $T_h\to T_c$. When the work is maximized at a zero power, even a small
(few-level) engine extracts work right at the Carnot efficiency.
| cond-mat.stat-mech quant-ph | we consider a class of quantum heat engines consisting of two subsystems interacting via a unitary transformation and coupled to two separate baths at different temperatures t_h t_c the purpose of the engine is to extract work due to the temperature difference its dynamics is not restricted to the near equilibrium regime the engine structure is determined by maximizing the extracted work under various constraints when this maximization is carried out at finite power the engine dynamics is described by welldefined temperatures and satisfies the local version of the second law in addition its efficiency is bounded from below by the curzonahlborn value 1sqrtt_ct_h and from above by the carnot value 1t_ct_h the latter is reachedat finite powerfor a macroscopic engine while the former is achieved in the equilibrium limit t_hto t_c when the work is maximized at a zero power even a small fewlevel engine extracts work right at the carnot efficiency | [['we', 'consider', 'a', 'class', 'of', 'quantum', 'heat', 'engines', 'consisting', 'of', 'two', 'subsystems', 'interacting', 'via', 'a', 'unitary', 'transformation', 'and', 'coupled', 'to', 'two', 'separate', 'baths', 'at', 'different', 'temperatures', 't_h', 't_c', 'the', 'purpose', 'of', 'the', 'engine', 'is', 'to', 'extract', 'work', 'due', 'to', 'the', 'temperature', 'difference', 'its', 'dynamics', 'is', 'not', 'restricted', 'to', 'the', 'near', 'equilibrium', 'regime', 'the', 'engine', 'structure', 'is', 'determined', 'by', 'maximizing', 'the', 'extracted', 'work', 'under', 'various', 'constraints', 'when', 'this', 'maximization', 'is', 'carried', 'out', 'at', 'finite', 'power', 'the', 'engine', 'dynamics', 'is', 'described', 'by', 'welldefined', 'temperatures', 'and', 'satisfies', 'the', 'local', 'version', 'of', 'the', 'second', 'law', 'in', 'addition', 'its', 'efficiency', 'is', 'bounded', 'from', 'below', 'by', 'the', 'curzonahlborn', 'value', '1sqrtt_ct_h', 'and', 'from', 'above', 'by', 'the', 'carnot', 'value', '1t_ct_h', 'the', 'latter', 'is', 'reachedat', 'finite', 'powerfor', 'a', 'macroscopic', 'engine', 'while', 'the', 'former', 'is', 'achieved', 'in', 'the', 'equilibrium', 'limit', 't_hto', 't_c', 'when', 'the', 'work', 'is', 'maximized', 'at', 'a', 'zero', 'power', 'even', 'a', 'small', 'fewlevel', 'engine', 'extracts', 'work', 'right', 'at', 'the', 'carnot', 'efficiency']] | [-0.10487872180872715, 0.15427530870066594, -0.05605374899030282, 0.01139408061530866, -0.037811661107878154, -0.1576058053561555, 0.09826526426922705, 0.3053216714671369, -0.2956432851168933, -0.27579949308661805, 0.08399756123693097, -0.33294378316667456, -0.02157752136481088, 0.23063715466066895, -0.00047375755572079013, 0.018986291408338803, 0.006008853079538618, 0.10547901511789243, -0.06985728005916131, -0.19139850599653768, 0.31329173625965645, 0.10540961902260455, 0.3173253238013627, 0.08033387624032033, 0.12040837565999503, -0.05698507893267994, 0.061769893564808886, 0.055357268148870674, -0.10586582320186015, 0.044135921556602585, 0.24888072582274276, 0.04092953456628243, 0.28436184042733437, -0.3620919449029853, -0.20855729339641188, 0.12097551435194659, 0.08110169475998154, 0.04980682230854545, 0.009753112098352121, -0.20626121643780662, 0.10763646151414204, -0.15195944348050144, -0.10460481189516367, -0.03801686906462048, -0.0042572536837034575, -0.006135692976605797, -0.24468403357282695, 0.09374667077657635, 0.12759833188177455, 0.05885276861563825, -0.029915738292976012, -0.04677092852758481, -0.008824792708545273, 0.11488018875149385, -0.006675034363741593, 0.006157878303475328, 0.22992251964048452, -0.13278818016421776, -0.05332760772536565, 0.3879994563570859, -0.08393789302782724, -0.15791264536299104, 0.16499039877031074, -0.13826319812672, -0.10462082094269111, 0.1265147254152236, 0.09263227604823375, 0.14989281676018387, -0.19951638856948817, 0.10637557127669449, -0.003202150863339037, 0.14999072641546793, 0.04081762631442523, -0.01062681990044329, 0.24235769380360606, 0.17159886908054903, 0.07145451054902084, 0.2217724050395972, -0.023549605120323447, -0.1541679352709411, -0.29583248359169934, -0.12266483859177804, -0.251513804545026, 0.08148022628277571, -0.07888689410574687, -0.06487050008938192, 0.37547247153050545, 0.13536601665823553, 0.18828091717281398, 0.07344074227070536, 0.2910522860756156, 0.19064875467580386, 0.03686904079037025, 0.12293757210741907, 0.25930180131839026, 0.12098703708737188, 0.14362659116725643, -0.29532391547194947, 0.046149497536079796, 0.08733766648835181] |
709.4126 | Anomalous Quantum Hall Effect on Sphere | We study the anomalous quantum Hall effect exhibited by the relativistic
particles living on two-sphere S^2 and submitted to a magnetic monopole. We
start by establishing a direct connection between the Dirac and Landau
operators through the Pauli--Schr\"odinger Hamiltonian H_{s}^{SP}. This will be
helpful in the sense that the Dirac eigenvalues and eigenfunctions will be
easily derived. In analyzing H_{s}^{SP} spectrum, we show that there is a
composite fermion nature supported by the presence of two effective magnetic
fields. For the lowest Landau level, we argue that the basic physics of
graphene is similar to that of two-dimensional electron gas, which is in
agreement with the planar limit. For the higher Landau levels, we propose a
SU(N) wavefunction for different filling factors that captures all symmetries.
Focusing on the graphene case, i.e. N=4, we give different configurations those
allowed to recover some known results.
| hep-th cond-mat.mes-hall math-ph math.MP | we study the anomalous quantum hall effect exhibited by the relativistic particles living on twosphere s2 and submitted to a magnetic monopole we start by establishing a direct connection between the dirac and landau operators through the paulischrodinger hamiltonian h_ssp this will be helpful in the sense that the dirac eigenvalues and eigenfunctions will be easily derived in analyzing h_ssp spectrum we show that there is a composite fermion nature supported by the presence of two effective magnetic fields for the lowest landau level we argue that the basic physics of graphene is similar to that of twodimensional electron gas which is in agreement with the planar limit for the higher landau levels we propose a sun wavefunction for different filling factors that captures all symmetries focusing on the graphene case ie n4 we give different configurations those allowed to recover some known results | [['we', 'study', 'the', 'anomalous', 'quantum', 'hall', 'effect', 'exhibited', 'by', 'the', 'relativistic', 'particles', 'living', 'on', 'twosphere', 's2', 'and', 'submitted', 'to', 'a', 'magnetic', 'monopole', 'we', 'start', 'by', 'establishing', 'a', 'direct', 'connection', 'between', 'the', 'dirac', 'and', 'landau', 'operators', 'through', 'the', 'paulischrodinger', 'hamiltonian', 'h_ssp', 'this', 'will', 'be', 'helpful', 'in', 'the', 'sense', 'that', 'the', 'dirac', 'eigenvalues', 'and', 'eigenfunctions', 'will', 'be', 'easily', 'derived', 'in', 'analyzing', 'h_ssp', 'spectrum', 'we', 'show', 'that', 'there', 'is', 'a', 'composite', 'fermion', 'nature', 'supported', 'by', 'the', 'presence', 'of', 'two', 'effective', 'magnetic', 'fields', 'for', 'the', 'lowest', 'landau', 'level', 'we', 'argue', 'that', 'the', 'basic', 'physics', 'of', 'graphene', 'is', 'similar', 'to', 'that', 'of', 'twodimensional', 'electron', 'gas', 'which', 'is', 'in', 'agreement', 'with', 'the', 'planar', 'limit', 'for', 'the', 'higher', 'landau', 'levels', 'we', 'propose', 'a', 'sun', 'wavefunction', 'for', 'different', 'filling', 'factors', 'that', 'captures', 'all', 'symmetries', 'focusing', 'on', 'the', 'graphene', 'case', 'ie', 'n4', 'we', 'give', 'different', 'configurations', 'those', 'allowed', 'to', 'recover', 'some', 'known', 'results']] | [-0.16007150845187323, 0.203172615004546, -0.04712887873520999, 0.10641761399759636, -0.04433619022585819, -0.12094074581474276, 0.032265128215289554, 0.33463734236191695, -0.1856376062619539, -0.2944788455727025, 0.02977427787190093, -0.2668447503295373, -0.18845735563942506, 0.16912656610595508, -0.004430264355057299, 0.004406505198755735, 0.03325017517216136, 0.023065724475702768, -0.09040230368493571, -0.22161048012588855, 0.35685868588158154, 0.03235277029747983, 0.264288993071909, 0.07094009499832936, 0.06577435133873787, 0.019973175590333174, 0.047913755185272494, 0.04608727068784581, -0.13629192307647392, 0.098617562171544, 0.21803496592074736, -0.016702498007618204, 0.18995337723426417, -0.4515448537602706, -0.1944503402855972, 0.042782764417007825, 0.15044556695453062, 0.12092683353755643, -0.05799501167748018, -0.2958976953851164, 0.0662020345867782, -0.12874135631792458, -0.16474349410797823, -0.0850890656067452, -0.017365827435024187, -0.05115538074890755, -0.23082594218021127, 0.07845077753656472, 0.05676275423258989, 0.027219620490656564, -0.07460931197307269, -0.11709395048706989, -0.04461846155652278, 0.1267748662528031, 0.057806217287909765, 0.004604001446917299, 0.11907583376077908, -0.1404585692208444, -0.1275725051437662, 0.41276416742623273, -0.0772323053490869, -0.21841198008861656, 0.19317940355468752, -0.2185627335656277, -0.1340099643017362, 0.10974533636201646, 0.09492786948792112, 0.06664083374362491, -0.132882807502182, 0.12645564295153108, -0.08572179455519982, 0.10918291596020244, 0.06837747672336622, 0.04402138374070104, 0.24215105804614723, 0.10468241058185067, 0.05452236340997715, 0.12769487882557679, -0.07376134352148576, -0.07717952143538638, -0.2864587222501426, -0.16212524180661259, -0.186482858836723, 0.08651728539655483, -0.03797120694265763, -0.1483964671046329, 0.41527765480027545, 0.14960262490252793, 0.18853577734036764, -0.0007337694487560697, 0.22688892164470917, 0.17652533333879752, 0.03611846159959973, 0.06789488578871103, 0.2543156045092627, 0.1315276664468578, 0.0812156263076451, -0.241037298075881, -0.053852294919304024, 0.1037435033620978] |
709.4127 | Global Square and Mutual Stationarity at the Aleph_n | We show using a proof of the Global Square property in Core Models below a
measurable of Mitchell order o(kappa)=kappa^++ (a result originally due to
Jensen & Zeman) that Foreman and Magidor's Mutual Stationarity property
MS(Aleph_n (1<n<omega), Cof(omega_1)) implies the existence of inner models
with measurables of high Mitchell order. This MS property states that any
sequence of independently chosen stationary subsets S_n of the Aleph_n (of
fixed cofinality omega_1) is mutually stationary below aleph_omega.
| math.LO | we show using a proof of the global square property in core models below a measurable of mitchell order okappakappa a result originally due to jensen zeman that foreman and magidors mutual stationarity property msaleph_n 1nomega cofomega_1 implies the existence of inner models with measurables of high mitchell order this ms property states that any sequence of independently chosen stationary subsets s_n of the aleph_n of fixed cofinality omega_1 is mutually stationary below aleph_omega | [['we', 'show', 'using', 'a', 'proof', 'of', 'the', 'global', 'square', 'property', 'in', 'core', 'models', 'below', 'a', 'measurable', 'of', 'mitchell', 'order', 'okappakappa', 'a', 'result', 'originally', 'due', 'to', 'jensen', 'zeman', 'that', 'foreman', 'and', 'magidors', 'mutual', 'stationarity', 'property', 'msaleph_n', '1nomega', 'cofomega_1', 'implies', 'the', 'existence', 'of', 'inner', 'models', 'with', 'measurables', 'of', 'high', 'mitchell', 'order', 'this', 'ms', 'property', 'states', 'that', 'any', 'sequence', 'of', 'independently', 'chosen', 'stationary', 'subsets', 's_n', 'of', 'the', 'aleph_n', 'of', 'fixed', 'cofinality', 'omega_1', 'is', 'mutually', 'stationary', 'below', 'aleph_omega']] | [-0.16079496653484446, 0.15623450609190123, -0.11235712434032134, 0.07607164827308484, -0.048805229369151805, -0.11200568048682596, 0.06398151097985516, 0.298979045157986, -0.26969775797000956, -0.22945460146293045, 0.12032906448169212, -0.2544070662398423, -0.04543549814926726, 0.11798890432608979, -0.11033783431297967, 0.04861970617868272, 0.02378101849130222, 0.047042399584980944, -0.05135302610828408, -0.23029439211823047, 0.3355050674772688, 0.0004741623465503965, 0.25446221247049317, 0.020572237354437157, 0.1339043537553932, -0.005875361444694655, 0.031697830095488044, 0.021734904910304716, -0.1788955627352282, 0.0668618544495465, 0.19332929297618517, 0.13889646653884224, 0.31716630276849694, -0.3016355363685372, -0.15297000091522933, 0.18650440352170594, 0.08079785623454622, 0.0039043767643826346, 0.018097954181471972, -0.2882792134902307, 0.1786912750585803, -0.14859830933190615, -0.20405744163851652, -0.032220439982068326, 0.050654916438673224, 0.04822367502908621, -0.2983557186089456, 0.06668152371421457, 0.23394208212848752, 0.08159435629578574, -0.04783646972916488, -0.11237157878598997, -0.0664967471334551, 0.0725849751183497, 0.02826830386516771, 0.05309734715680991, 0.04980371099081822, -0.03395919118941362, -0.1277645130957743, 0.29102567232080867, -0.10726407008312111, -0.16694332994520664, 0.18491452298393207, -0.2097153615073434, -0.1680957408089723, 0.1108952401505251, 0.052945926931819744, 0.11413311461385872, -0.08778932042686002, 0.1400592717067671, -0.1396172241174749, 0.20151286606809923, 0.15074283589742013, 0.0640043765090273, 0.15584365031016725, 0.08611393748516483, 0.1255625785727586, 0.130847873811477, -0.005793229378260938, -0.05023332363925874, -0.3194192235091967, -0.09635501530553614, -0.20591352269652166, 0.09372810693790339, -0.1045461481235439, -0.19088455120633754, 0.2986454862036875, 0.1255844835391534, 0.1852479804444426, 0.11279958773271313, 0.20362165795106973, 0.07976366073957511, 0.05584110761327403, 0.0793544042589409, 0.17037694985712212, 0.20583575421145983, -0.004254810312496764, -0.156561211090801, 0.07922805139262762, 0.15196127110560026] |
709.4128 | Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations
among Nonlinear Transport Coefficients in the Presence of a Magnetic Field | We study full counting statistics of coherent electron transport through
multi-terminal interacting quantum-dots under a finite magnetic field.
Microscopic reversibility leads to the symmetry of the cumulant generating
function, which generalizes the fluctuation theorem in the context of quantum
transport. Using this symmetry, we derive the Onsager-Casimir relation in the
linear transport regime and universal relations among nonlinear transport
coefficients.
| cond-mat.mes-hall cond-mat.stat-mech | we study full counting statistics of coherent electron transport through multiterminal interacting quantumdots under a finite magnetic field microscopic reversibility leads to the symmetry of the cumulant generating function which generalizes the fluctuation theorem in the context of quantum transport using this symmetry we derive the onsagercasimir relation in the linear transport regime and universal relations among nonlinear transport coefficients | [['we', 'study', 'full', 'counting', 'statistics', 'of', 'coherent', 'electron', 'transport', 'through', 'multiterminal', 'interacting', 'quantumdots', 'under', 'a', 'finite', 'magnetic', 'field', 'microscopic', 'reversibility', 'leads', 'to', 'the', 'symmetry', 'of', 'the', 'cumulant', 'generating', 'function', 'which', 'generalizes', 'the', 'fluctuation', 'theorem', 'in', 'the', 'context', 'of', 'quantum', 'transport', 'using', 'this', 'symmetry', 'we', 'derive', 'the', 'onsagercasimir', 'relation', 'in', 'the', 'linear', 'transport', 'regime', 'and', 'universal', 'relations', 'among', 'nonlinear', 'transport', 'coefficients']] | [-0.2020584758836776, 0.16636872803792357, -0.11969043761491775, 0.08089187339452716, -0.05387098519131541, -0.10874145458607624, 0.04556274278050599, 0.26838545718540746, -0.3371383566913816, -0.23990577642495434, -0.02141192611694957, -0.2586474201331536, -0.14461461794562638, 0.21951625839574262, 0.027781895959439376, 0.10267804271231094, -0.056180679922302565, -0.015803653669233125, -0.1031738297160094, -0.16122043974076708, 0.31356100638222417, 0.019087012296464916, 0.3872497189169129, 0.07420263631405154, 0.13502906022282937, 0.11865271015558392, 0.01199048055956761, 0.023366885168555503, -0.18109471362549812, 0.10061574423064788, 0.24067347415645296, -0.04673088202252984, 0.15494835506542587, -0.4507484423617522, -0.22147415809643764, 0.04579277237256368, 0.12009078989164361, 0.1451852966779067, -0.06057735209663709, -0.21366366115398705, 0.02903593915980309, -0.16378634609282017, -0.12222347125255813, -0.09579019313678146, -0.05930690565728582, 0.057866001497798907, -0.25794968189050754, 0.18866495355032384, 0.0943622744952639, 0.0917281451014181, -0.01442823555941383, -0.0024253942120897893, 0.002492954523768276, 0.10893923529268552, 0.006495519751236619, -0.06600058179271097, 0.14695860259622956, -0.1720671151105004, -0.12701597018943478, 0.3488510196407636, -0.05326634828622143, -0.19894812845935425, 0.12415926301230987, -0.19331302338590226, -0.1335542405761468, 0.07469130071500937, 0.14001730405337487, 0.10709658324097594, -0.21782512539066373, 0.13206909775326495, -0.10903896001012375, 0.10003613922356938, 0.05602348100704451, 0.09195777777737628, 0.2172547625688215, 0.1398999520887931, 0.048879969756429394, 0.1907512440656622, -0.07489071525633335, -0.1670195900214215, -0.3456352883328994, -0.16270541887109477, -0.17709230327357847, 0.13474225412743787, -0.07568237358524736, -0.16295810166435937, 0.4109397131949663, 0.1679883821013694, 0.12651753014264008, 0.06091391605441458, 0.2322031787286202, 0.23162819302330415, 0.03446344272233546, 0.053615855231570704, 0.18383177555321406, 0.2645883127930574, 0.08090060703301181, -0.3375411524126927, 0.023395898185359934, 0.11603447798018654] |
709.4129 | Off-line studies of the laser ionization of yttrium at the IGISOL
facility | A laser ion source is under development at the IGISOL facility, Jyvaskyla, in
order to address deficiencies in the ion guide technique. The key elements of
interest are those of a refractory nature, whose isotopes and isomers are
widely studied using both laser spectroscopic and high precision mass
measurement techniques. Yttrium has been the first element of choice for the
new laser ion source. In this work we present a new coupled dye-Ti:Sapphire
laser scheme and give a detailed discussion of the results obtained from laser
ionization of yttrium atoms produced in an ion guide via joule heating of a
filament. The importance of not only gas purity, but indeed the baseline vacuum
pressure in the environment outside the ion guide is discussed in light of the
fast gas phase chemistry seen in the yttrium system. A single laser shot model
is introduced and is compared to the experimental data in order to extract the
level of impurities within the gas cell.
| nucl-ex | a laser ion source is under development at the igisol facility jyvaskyla in order to address deficiencies in the ion guide technique the key elements of interest are those of a refractory nature whose isotopes and isomers are widely studied using both laser spectroscopic and high precision mass measurement techniques yttrium has been the first element of choice for the new laser ion source in this work we present a new coupled dyetisapphire laser scheme and give a detailed discussion of the results obtained from laser ionization of yttrium atoms produced in an ion guide via joule heating of a filament the importance of not only gas purity but indeed the baseline vacuum pressure in the environment outside the ion guide is discussed in light of the fast gas phase chemistry seen in the yttrium system a single laser shot model is introduced and is compared to the experimental data in order to extract the level of impurities within the gas cell | [['a', 'laser', 'ion', 'source', 'is', 'under', 'development', 'at', 'the', 'igisol', 'facility', 'jyvaskyla', 'in', 'order', 'to', 'address', 'deficiencies', 'in', 'the', 'ion', 'guide', 'technique', 'the', 'key', 'elements', 'of', 'interest', 'are', 'those', 'of', 'a', 'refractory', 'nature', 'whose', 'isotopes', 'and', 'isomers', 'are', 'widely', 'studied', 'using', 'both', 'laser', 'spectroscopic', 'and', 'high', 'precision', 'mass', 'measurement', 'techniques', 'yttrium', 'has', 'been', 'the', 'first', 'element', 'of', 'choice', 'for', 'the', 'new', 'laser', 'ion', 'source', 'in', 'this', 'work', 'we', 'present', 'a', 'new', 'coupled', 'dyetisapphire', 'laser', 'scheme', 'and', 'give', 'a', 'detailed', 'discussion', 'of', 'the', 'results', 'obtained', 'from', 'laser', 'ionization', 'of', 'yttrium', 'atoms', 'produced', 'in', 'an', 'ion', 'guide', 'via', 'joule', 'heating', 'of', 'a', 'filament', 'the', 'importance', 'of', 'not', 'only', 'gas', 'purity', 'but', 'indeed', 'the', 'baseline', 'vacuum', 'pressure', 'in', 'the', 'environment', 'outside', 'the', 'ion', 'guide', 'is', 'discussed', 'in', 'light', 'of', 'the', 'fast', 'gas', 'phase', 'chemistry', 'seen', 'in', 'the', 'yttrium', 'system', 'a', 'single', 'laser', 'shot', 'model', 'is', 'introduced', 'and', 'is', 'compared', 'to', 'the', 'experimental', 'data', 'in', 'order', 'to', 'extract', 'the', 'level', 'of', 'impurities', 'within', 'the', 'gas', 'cell']] | [-0.05627391487323847, 0.16613093136330004, -0.04327851655655859, -0.0016736016472836273, 0.02557635013164478, -0.13005966965328924, 0.039229747656333656, 0.41343061412505294, -0.2301041963336677, -0.30154407012235857, 0.048860577152035435, -0.27985155349308105, 0.009274524691520455, 0.22819494193286768, -0.031935352408356085, 0.05545447141030421, 0.056649204083249804, -0.004974109260943828, -0.02033562432419254, -0.1944708736520839, 0.2681911566948391, 0.1437032885085907, 0.2880106999463639, 0.06913196506023535, 0.09654399003871132, -0.04950213918327903, -0.006095369444778247, -0.025805290464473808, -0.1177791912073952, 0.09370913656185502, 0.25532574120544543, 0.06458754257460975, 0.2712833304189562, -0.4518028265617279, -0.23236790439837052, 0.012322798659099462, 0.12428670763023637, 0.16485120246175283, -0.1556240433179166, -0.25294731378046253, 0.015761076200822864, -0.17332098492340225, -0.14164449287844555, -0.019765220919438862, -0.025181211716269854, 0.07017863875324404, -0.28930492301164945, 0.001552585830553348, 0.02362824886674293, 0.1006018853202601, -0.0650858345792393, -0.11345273371487971, -7.789159592773234e-05, 0.05694839861880271, 0.009684108051627597, 0.059464595932260396, 0.20952229603534991, -0.10077973920128869, -0.051665885015304044, 0.418893035466534, -0.09492544244731897, -0.09876934303005475, 0.16766753125652348, -0.18757687830684347, -0.10724727248032548, 0.17584906808846856, 0.16346737626442534, 0.1332457861754615, -0.17838098264952995, 0.01727700079733402, 0.0006040832528884968, 0.2021735827082644, 0.08724962630575257, 0.0672409454858081, 0.21775767700573118, 0.2278513066782992, 0.001383326215935605, 0.13824421871116932, -0.1424986668717787, -0.02921976423272805, -0.2640268736278858, -0.17152036329794976, -0.14685752053357523, -0.012780031275278195, -0.0033841332516875927, -0.11834807247404293, 0.392050154639551, 0.15157404951519848, 0.1272454877204684, -0.12055718133685914, 0.3081846467945262, 0.08503065029483127, 0.04924487690759464, 0.001884450048485898, 0.2692217948385196, 0.1804306798409208, 0.13002699672863444, -0.27368197482591206, 0.08454121641166833, 0.044646690262666676] |
709.413 | Dynamical simulations with HYP-link Wilson fermions | We present results from simulations of two dynamical flavors of improved
Wilson fermions with nHYP smeared gauge links. We demonstrate that the
simulation is stable at a pseudo-scalar mass of 360MeV, a 2.1fm box and a
lattice spacing of 0.13fm.
| hep-lat | we present results from simulations of two dynamical flavors of improved wilson fermions with nhyp smeared gauge links we demonstrate that the simulation is stable at a pseudoscalar mass of 360mev a 21fm box and a lattice spacing of 013fm | [['we', 'present', 'results', 'from', 'simulations', 'of', 'two', 'dynamical', 'flavors', 'of', 'improved', 'wilson', 'fermions', 'with', 'nhyp', 'smeared', 'gauge', 'links', 'we', 'demonstrate', 'that', 'the', 'simulation', 'is', 'stable', 'at', 'a', 'pseudoscalar', 'mass', 'of', '360mev', 'a', '21fm', 'box', 'and', 'a', 'lattice', 'spacing', 'of', '013fm']] | [-0.18350638024126872, 0.26797952555502075, -0.10367815555909123, 0.05175066282315992, 0.019783043469756078, -0.1389375753635063, 0.11437297418403129, 0.4022930575869022, -0.09016038315036358, -0.23708714726261604, 0.048877025002207704, -0.30406504114850974, -0.10580923354539734, 0.1256717717848145, 0.025556293435585804, 0.06686957053935681, 0.1280508637159633, -0.006096855331307802, -0.1375390364943693, -0.24454532666370654, 0.3359784480327597, -0.005772119907375712, 0.18652833093148777, 0.1215839083187091, 0.08767235556092018, -0.015516759099391026, -0.04164965140322844, 0.02151990999491551, -0.11092528971363581, 0.06880022177042869, 0.08230377330134313, -0.03480719970778013, 0.14187720890801686, -0.34339844583509826, -0.19722786465158257, 0.03750090684311894, 0.1802162190851493, 0.10768586569107495, -0.05396432174035372, -0.2836557127153262, 0.07925423803046727, -0.2019285724665492, -0.1828899558257455, -0.07730553239488448, -0.08281311526512489, -0.047644941309371434, -0.36185284939785606, 0.07376925594722614, -0.08913308099428645, 0.08948750920498218, 0.01430708726342672, -0.14089595915701908, -0.0699434994887083, 0.0934371051694959, 0.07042466970280004, 0.04262384740062631, 0.09590832585803209, -0.15283259969109145, -0.17387315756880128, 0.4104980081319809, -0.09110505753256476, -0.1986103409137099, 0.18437443575702417, -0.1330090508533594, -0.1417377857157053, 0.12162073469740929, 0.16359199435474017, 0.08400763579620382, -0.09113186504691839, 0.07829966910559541, -0.14496655294146293, 0.19547024600876448, 0.06740559905003278, -0.005608186591416597, 0.27285387510290515, 0.18095329322685033, 0.0006658779696012154, 0.11960181539567809, -0.05718739025700742, -0.12493735059904747, -0.2971485428130015, -0.09887808131483886, -0.16674787037743208, 0.09523244739438479, -0.14961353943717534, -0.15165275449936205, 0.38403071128787136, 0.17155742104380176, 0.18265348166609421, 0.0944503572029181, 0.24434372133169419, 0.04192590202467564, 0.07623485394586356, 0.06217369302295339, 0.19465180045853442, 0.147024754076623, 0.07693362001998302, -0.2877675990562122, -0.2229094124124505, 0.14956305851825538] |
709.4131 | Microscopic non-equilibrium theory of quantum well solar cells | We present a microscopic theory of bipolar quantum well structures in the
photovoltaic regime, based on the non-equilibrium Green's function formalism
for a multi band tight binding Hamiltonian. The quantum kinetic equations for
the single particle Green's functions of electrons and holes are
self-consistently coupled to Poisson's equation, including inter-carrier
scattering on the Hartree level. Relaxation and broadening mechanisms are
considered by the inclusion of acoustic and optical electron-phonon interaction
in a self consistent Born approximation of the scattering self energies.
Photogeneration of carriers is described on the same level in terms of a self
energy derived from the standard dipole approximation of the electron-photon
interaction. Results from a simple two band model are shown for the local
density of states, spectral response, current spectrum, and current-voltage
characteristics for generic single quantum well systems.
| cond-mat.mes-hall | we present a microscopic theory of bipolar quantum well structures in the photovoltaic regime based on the nonequilibrium greens function formalism for a multi band tight binding hamiltonian the quantum kinetic equations for the single particle greens functions of electrons and holes are selfconsistently coupled to poissons equation including intercarrier scattering on the hartree level relaxation and broadening mechanisms are considered by the inclusion of acoustic and optical electronphonon interaction in a self consistent born approximation of the scattering self energies photogeneration of carriers is described on the same level in terms of a self energy derived from the standard dipole approximation of the electronphoton interaction results from a simple two band model are shown for the local density of states spectral response current spectrum and currentvoltage characteristics for generic single quantum well systems | [['we', 'present', 'a', 'microscopic', 'theory', 'of', 'bipolar', 'quantum', 'well', 'structures', 'in', 'the', 'photovoltaic', 'regime', 'based', 'on', 'the', 'nonequilibrium', 'greens', 'function', 'formalism', 'for', 'a', 'multi', 'band', 'tight', 'binding', 'hamiltonian', 'the', 'quantum', 'kinetic', 'equations', 'for', 'the', 'single', 'particle', 'greens', 'functions', 'of', 'electrons', 'and', 'holes', 'are', 'selfconsistently', 'coupled', 'to', 'poissons', 'equation', 'including', 'intercarrier', 'scattering', 'on', 'the', 'hartree', 'level', 'relaxation', 'and', 'broadening', 'mechanisms', 'are', 'considered', 'by', 'the', 'inclusion', 'of', 'acoustic', 'and', 'optical', 'electronphonon', 'interaction', 'in', 'a', 'self', 'consistent', 'born', 'approximation', 'of', 'the', 'scattering', 'self', 'energies', 'photogeneration', 'of', 'carriers', 'is', 'described', 'on', 'the', 'same', 'level', 'in', 'terms', 'of', 'a', 'self', 'energy', 'derived', 'from', 'the', 'standard', 'dipole', 'approximation', 'of', 'the', 'electronphoton', 'interaction', 'results', 'from', 'a', 'simple', 'two', 'band', 'model', 'are', 'shown', 'for', 'the', 'local', 'density', 'of', 'states', 'spectral', 'response', 'current', 'spectrum', 'and', 'currentvoltage', 'characteristics', 'for', 'generic', 'single', 'quantum', 'well', 'systems']] | [-0.13239380605640447, 0.13843005015375787, -0.05573328085758014, 0.10431511753756526, 0.0034275625818478528, -0.11331158372184345, 0.020059098742394917, 0.3485865026100803, -0.2572481629487349, -0.2608603539723736, -0.05727222689284957, -0.2929051314105294, -0.13121512147976752, 0.19242040556073606, 0.09104788176882178, 0.06149833817590973, 0.022808854925140405, -0.011188941938218787, -0.04921405513617975, -0.13877348128598488, 0.32040331573503567, 0.0657882900958978, 0.2967605942707342, 0.1179078240920581, 0.08226258167997003, 0.06603886394017834, 0.061798900108673234, 0.023310348510554534, -0.09905908127843555, 0.1040077468205709, 0.21295245197591192, -0.02872420195490122, 0.20951839020030935, -0.4782104877643843, -0.2492574904315563, -0.03286458082747326, 0.13014820275598887, 0.155590187827709, -0.044905969109420955, -0.2613605910133737, -0.0003180820911900321, -0.1769419752561779, -0.12515461634246827, -0.05123630829447352, -0.012813509174330688, 0.06573691089470773, -0.2641725328319998, 0.14438355097081512, 0.005584257965865753, -0.0028361703908599133, -0.14473374389153695, -0.12047717295267354, -0.03586225794044448, 0.06292410576438058, -0.027945625183082173, -0.029269328189287475, 0.1637831843256561, -0.1511911397153484, -0.10945703033635866, 0.4017396800067109, -0.08534771712964276, -0.18700918634665378, 0.17622583010928955, -0.1488114870466125, -0.06859201386765536, 0.16273149164609, 0.1333251958539181, 0.11639998740961414, -0.2166050405575157, 0.1390997704723698, 0.036111859176412166, 0.13740824746774205, 0.0214006860789134, 0.0874009980305807, 0.22149187133911608, 0.1591863999310047, -0.011556284884407894, 0.08848368314463201, -0.07307596062483794, -0.11942286749453798, -0.31086029551589667, -0.10519507443582846, -0.22032890411496941, 0.08448949264390256, -0.057070673166673434, -0.21689038257416052, 0.44229453956402504, 0.0873285485431552, 0.15387616969415668, 0.03892622305490354, 0.2973145462183854, 0.23616567293682428, 0.049828871969939834, 0.04170012876474813, 0.27730066986726737, 0.18532271742640036, 0.07389342701132062, -0.3004122983730301, 0.008429333407765449, 0.08185837618179563] |
709.4132 | A tool for phase resolved spectroscopy with ISGRI | INTEGRAL observations provide a large amount of data on accreting binary
systems. The interpretation of the spectral emission of these sources needs
timing analysis and phase resolved spectroscopy, which are really cumbersome
tasks if performed with tools based on the imaging extraction methods usually
used for coded mask instruments. Here we present a software for the ISGRI
instrument which allows to extract in a fast way, light curves, pulse profiles,
and phase resolved spectra, making data reduction a much easier task.
| astro-ph | integral observations provide a large amount of data on accreting binary systems the interpretation of the spectral emission of these sources needs timing analysis and phase resolved spectroscopy which are really cumbersome tasks if performed with tools based on the imaging extraction methods usually used for coded mask instruments here we present a software for the isgri instrument which allows to extract in a fast way light curves pulse profiles and phase resolved spectra making data reduction a much easier task | [['integral', 'observations', 'provide', 'a', 'large', 'amount', 'of', 'data', 'on', 'accreting', 'binary', 'systems', 'the', 'interpretation', 'of', 'the', 'spectral', 'emission', 'of', 'these', 'sources', 'needs', 'timing', 'analysis', 'and', 'phase', 'resolved', 'spectroscopy', 'which', 'are', 'really', 'cumbersome', 'tasks', 'if', 'performed', 'with', 'tools', 'based', 'on', 'the', 'imaging', 'extraction', 'methods', 'usually', 'used', 'for', 'coded', 'mask', 'instruments', 'here', 'we', 'present', 'a', 'software', 'for', 'the', 'isgri', 'instrument', 'which', 'allows', 'to', 'extract', 'in', 'a', 'fast', 'way', 'light', 'curves', 'pulse', 'profiles', 'and', 'phase', 'resolved', 'spectra', 'making', 'data', 'reduction', 'a', 'much', 'easier', 'task']] | [-0.08559107983392882, 0.044170097965333194, -0.16200926203142713, 0.1035522679671829, -0.14530309337984632, -0.17397214726395446, 0.07830487708216188, 0.457478111885764, -0.2241531049395785, -0.3675917290657023, 0.16621327142584724, -0.27827870081208306, -0.08860382665650068, 0.2791872008999718, -0.04663007264887845, 0.08626671660875465, 0.16463503076401712, -0.06486253698182545, -0.07134547567477932, -0.18826449736607848, 0.2753216212839578, 0.0937384204984999, 0.24538955018269243, -0.01663872078176082, 0.089355462199123, 0.020428241678962, -0.11117649068021113, -0.036626290552961974, -0.10749267625771923, 0.14755669563295848, 0.3258578786913903, 0.17258839690942823, 0.18084010162195305, -0.41836313903331757, -0.2362359357583854, 0.07090378270978913, 0.16007468352140283, 0.05318829404293663, -0.05235704286943799, -0.275968278670557, -0.00856769763408976, -0.11770380555111686, -0.09702724731745727, -0.12297877103642181, 0.010783157943759435, -0.0006260577255836976, -0.2312163244990379, 0.02973200563042436, -0.019865893570556778, 0.08887357503911596, -0.0673312815861995, -0.054160158788026484, 0.023931008760736866, 0.11030017439689901, -0.012657715080961309, 0.011747237740452459, 0.11651878847085216, -0.10577136184732763, -0.08198618318563626, 0.3673579739866617, -0.056203332298469764, -0.12606456084751788, 0.15495959202827955, -0.13909758346005816, -0.18654945408235546, 0.19768147059517946, 0.15542871285701332, 0.1704578063821558, -0.18302648977870928, -0.031600365482765125, 0.05936066380897422, 0.311933419448726, 0.013717653534524603, 0.08098699606058223, 0.26157305605801534, 0.16475742374673302, 0.006513769241095877, 0.1431199461121089, -0.23461302170345996, -0.006557362257606453, -0.22569290474977022, -0.09807607579838347, -0.16853993015800728, 0.04559007288318955, -0.056029339792008546, -0.1507585326886598, 0.3587432890256614, 0.15798224784134898, 0.15461177975629214, 0.005360465565765345, 0.39880271899847336, 0.08537788602902933, 0.11300287864538898, 0.03630055676797911, 0.21277354089658201, 0.10356289937080425, 0.1894219201862996, -0.1796394611283401, 0.04412440384772641, -0.002891655677906525] |
709.4133 | Distances sets that are a shift of the integers and Fourier basis for
planar convex sets | The aim of this paper is to prove that if a planar set $A$ has a difference
set $\Delta(A)$ satisfying $\Delta(A)\subset \Z^++s$ for suitable $s$ than $A$
has at most 3 elements. This result is motivated by the conjecture that the
disk has not more than 3 orthogonal exponentials. Further, we prove that if $A$
is a set of exponentials mutually orthogonal with respect to any symmetric
convex set $K$ in the plane with a smooth boundary and everywhere non-vanishing
curvature, then $ # (A \cap {[-q,q]}^2) \leq C(K) q$ where $C(K)$ is a constant
depending only on $K$. This extends and clarifies in the plane the result of
Iosevich and Rudnev. As a corollary, we obtain the result from \cite{IKP01} and
\cite{IKT01} that if $K$ is a centrally symmetric convex body with a smooth
boundary and non-vanishing curvature, then $L^2(K)$ does not possess an
orthogonal basis of exponentials.
| math.CA | the aim of this paper is to prove that if a planar set a has a difference set deltaa satisfying deltaasubset zs for suitable s than a has at most 3 elements this result is motivated by the conjecture that the disk has not more than 3 orthogonal exponentials further we prove that if a is a set of exponentials mutually orthogonal with respect to any symmetric convex set k in the plane with a smooth boundary and everywhere nonvanishing curvature then a cap qq2 leq ck q where ck is a constant depending only on k this extends and clarifies in the plane the result of iosevich and rudnev as a corollary we obtain the result from citeikp01 and citeikt01 that if k is a centrally symmetric convex body with a smooth boundary and nonvanishing curvature then l2k does not possess an orthogonal basis of exponentials | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'prove', 'that', 'if', 'a', 'planar', 'set', 'a', 'has', 'a', 'difference', 'set', 'deltaa', 'satisfying', 'deltaasubset', 'zs', 'for', 'suitable', 's', 'than', 'a', 'has', 'at', 'most', '3', 'elements', 'this', 'result', 'is', 'motivated', 'by', 'the', 'conjecture', 'that', 'the', 'disk', 'has', 'not', 'more', 'than', '3', 'orthogonal', 'exponentials', 'further', 'we', 'prove', 'that', 'if', 'a', 'is', 'a', 'set', 'of', 'exponentials', 'mutually', 'orthogonal', 'with', 'respect', 'to', 'any', 'symmetric', 'convex', 'set', 'k', 'in', 'the', 'plane', 'with', 'a', 'smooth', 'boundary', 'and', 'everywhere', 'nonvanishing', 'curvature', 'then', 'a', 'cap', 'qq2', 'leq', 'ck', 'q', 'where', 'ck', 'is', 'a', 'constant', 'depending', 'only', 'on', 'k', 'this', 'extends', 'and', 'clarifies', 'in', 'the', 'plane', 'the', 'result', 'of', 'iosevich', 'and', 'rudnev', 'as', 'a', 'corollary', 'we', 'obtain', 'the', 'result', 'from', 'citeikp01', 'and', 'citeikt01', 'that', 'if', 'k', 'is', 'a', 'centrally', 'symmetric', 'convex', 'body', 'with', 'a', 'smooth', 'boundary', 'and', 'nonvanishing', 'curvature', 'then', 'l2k', 'does', 'not', 'possess', 'an', 'orthogonal', 'basis', 'of', 'exponentials']] | [-0.16909697244652003, 0.10609750432609467, -0.08851881885655327, -0.02862940598505601, -0.08546001485168138, -0.14363774658542955, 0.021793512327551272, 0.35139061311363345, -0.24235677683949083, -0.16623074239153843, 0.12161749474439097, -0.2597829937763486, -0.13891209869891302, 0.1816304487130967, -0.08645862094514693, -0.020550216563505173, 0.028711469973334007, 0.08919939280733363, -0.09259960049934711, -0.2381544815078895, 0.36249463584843195, -0.07012003530204917, 0.1661926157022309, 0.06757366699942698, 0.09227158291549939, -0.012063346126524266, 0.027752826016189322, 0.045269040761114515, -0.14414080714312957, 0.11160060018624386, 0.2289730444350021, 0.14464554248843342, 0.2727545630202965, -0.3353876912474839, -0.16988838136926965, 0.19302083864588188, 0.13279087464616168, 0.014813046391484223, -0.018947663545279485, -0.19826097843017326, 0.17172007758765379, -0.11809787445235997, -0.17195139782981844, -0.020038987988502614, 0.10013807104486558, -0.016253602280307353, -0.3390127064259205, 0.027001954754167754, 0.15379350503078765, 0.06868863702725826, -0.043391368906466395, -0.13304533003247343, -0.04851233428538156, 0.030275065613548376, 0.009233059379362708, 0.1453795842389809, 0.03060988250258055, -0.0532739529557552, -0.0757890700479038, 0.3869570807308062, -0.07653771626488985, -0.2613308284845617, 0.15523622427847134, -0.20476687825349574, -0.10439320256571388, 0.12890590044483158, 0.10434614308178425, 0.15338975880068675, -0.08979741011797968, 0.18873352099965107, -0.1586421451566922, 0.1689337459829403, 0.13201646477682516, -0.022131738304677937, 0.1454397085019284, 0.058396792089398436, 0.17522661165437764, 0.13276448033543098, -0.008924868127602773, -0.007948267587279487, -0.3457224372929583, -0.16982574191125524, -0.20795882667072066, 0.11322056106635298, -0.10955914532223687, -0.17407615409077457, 0.34966845450819367, 0.03205107559915632, 0.23518725355259246, 0.10236553371426756, 0.2621794721344486, 0.0906319426168112, 0.04617513204801879, 0.13902265922903703, 0.17626995536395246, 0.1507936078463293, 0.00735124161777397, -0.12904015340771163, 0.030803894695256732, 0.08607817023100021] |
709.4134 | Alpha-alpha interaction with chiral two pion exchange and 8Be lifetime | Assuming that alpha particles are described by a scalar-isoscalar chiral
invariant heavy field it is shown how chiral symmetry determines the
alpha-alpha interaction at long distances unambiguously from dimensional power
counting of an effective chiral Lagrangean. The leading strong contribution is
given by a two pion exchange potential which turns out to be attractive and
singular at the origin, hence demanding renormalization. When 8Be is treated as
a resonance state a model independent correlation between the Q-factor and
lifetime 1/Gamma for the decay into two alpha particles arises. For parameters
compatible with potential model analyses of low energy pi-alpha scattering it
is found a Breit-Wigner width Gamma = 4.3(3) eV very close to the experimental
value, Gamma= 5.57 (25)eV.
| nucl-th | assuming that alpha particles are described by a scalarisoscalar chiral invariant heavy field it is shown how chiral symmetry determines the alphaalpha interaction at long distances unambiguously from dimensional power counting of an effective chiral lagrangean the leading strong contribution is given by a two pion exchange potential which turns out to be attractive and singular at the origin hence demanding renormalization when 8be is treated as a resonance state a model independent correlation between the qfactor and lifetime 1gamma for the decay into two alpha particles arises for parameters compatible with potential model analyses of low energy pialpha scattering it is found a breitwigner width gamma 433 ev very close to the experimental value gamma 557 25ev | [['assuming', 'that', 'alpha', 'particles', 'are', 'described', 'by', 'a', 'scalarisoscalar', 'chiral', 'invariant', 'heavy', 'field', 'it', 'is', 'shown', 'how', 'chiral', 'symmetry', 'determines', 'the', 'alphaalpha', 'interaction', 'at', 'long', 'distances', 'unambiguously', 'from', 'dimensional', 'power', 'counting', 'of', 'an', 'effective', 'chiral', 'lagrangean', 'the', 'leading', 'strong', 'contribution', 'is', 'given', 'by', 'a', 'two', 'pion', 'exchange', 'potential', 'which', 'turns', 'out', 'to', 'be', 'attractive', 'and', 'singular', 'at', 'the', 'origin', 'hence', 'demanding', 'renormalization', 'when', '8be', 'is', 'treated', 'as', 'a', 'resonance', 'state', 'a', 'model', 'independent', 'correlation', 'between', 'the', 'qfactor', 'and', 'lifetime', '1gamma', 'for', 'the', 'decay', 'into', 'two', 'alpha', 'particles', 'arises', 'for', 'parameters', 'compatible', 'with', 'potential', 'model', 'analyses', 'of', 'low', 'energy', 'pialpha', 'scattering', 'it', 'is', 'found', 'a', 'breitwigner', 'width', 'gamma', '433', 'ev', 'very', 'close', 'to', 'the', 'experimental', 'value', 'gamma', '557', '25ev']] | [-0.13001474764462465, 0.23862282718421784, -0.08766909499092311, 0.11482977908562426, -0.04605909837291466, -0.19494076523440496, 0.028565905711976654, 0.34664132485513466, -0.24721941864907238, -0.26928348664068064, -0.00862801895216423, -0.30752450657092917, -0.051902672378504176, 0.13614664267811735, 0.09239698099209216, 0.03476382145594995, 0.031967687361352776, 0.07505029060688438, -0.024218645603869552, -0.14117435777685172, 0.28715055963119207, 0.0721269189893126, 0.2361249984478799, 0.12322624014706303, 0.049958667260105324, 0.0038127249552694672, 0.036485949988966274, -0.009665612932452458, -0.1260332243097872, 0.02196257875470634, 0.21826115735832174, -0.0234357763444477, 0.17514199214213985, -0.31703581361857763, -0.1803451795229625, 0.10047394151688885, 0.16316285036835756, 0.06636353457539926, -0.019902269324382483, -0.29209907445267347, 0.07274253275916297, -0.17829839231927833, -0.18685884862522578, -0.06518928003813124, 0.05871233987026075, -0.05544814041428962, -0.3283644011638806, 0.10514793371938572, -0.016759004785237296, -0.006116735654235896, -0.05259560832706422, -0.1623787308897097, -0.0218046882339769, 0.054512259312875774, 0.1256061433814466, 0.06592027269998345, 0.14597738072990393, -0.12552168944899153, -0.05548912159244183, 0.41573647508531875, -0.06309920676857612, -0.16273279492427611, 0.14165069805103023, -0.09799816036770531, -0.10153670224629469, 0.2137078770862545, 0.09505917859595206, 0.06258548547117182, -0.15812638286815392, 0.12445708668241484, -0.007830489789909226, 0.2108907523393331, 0.08940217577875986, 0.02391120534137649, 0.23854277028023438, 0.1538660708376822, 0.032597990505302606, 0.06956417696704394, -0.08887797038828543, -0.10049702094520553, -0.3335026899052752, -0.06435101338409645, -0.19124703512574404, 0.11767905165236127, -0.0885077732004979, -0.12089076223936114, 0.3520178577302308, 0.06998287055047497, 0.24806441675271776, -0.007449815518388493, 0.2770720251630676, 0.15935375145488515, 0.0792072062633174, 0.04399812572351578, 0.3041163452474748, 0.16420490754831393, 0.03433560077690468, -0.2577200943497562, 0.008592436524202763, 0.03417632344052574] |
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