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710.5353 | Phase-shifts in stochastic resonance in a Chua circuit | We present an experimental study of stochastic resonance in an electronic
Chua circuit operating in the chaotic regime. We study in detail the
switch-phase distribution and the phase-shift between sinusoidal forcing for
two responses of the circuit: one depending on both inter-well and intra-well
dynamics and the other depending only on inter-well dynamics. We describe the
two relevant de-synchronizatrion mechanisms for high and low frequencies of the
forcing and present a method to detect the optimal noise intensity from switch
phases which coincides with the one derived from the observation of the
signal-to-noise ratio or residence times.
| nlin.CD | we present an experimental study of stochastic resonance in an electronic chua circuit operating in the chaotic regime we study in detail the switchphase distribution and the phaseshift between sinusoidal forcing for two responses of the circuit one depending on both interwell and intrawell dynamics and the other depending only on interwell dynamics we describe the two relevant desynchronizatrion mechanisms for high and low frequencies of the forcing and present a method to detect the optimal noise intensity from switch phases which coincides with the one derived from the observation of the signaltonoise ratio or residence times | [['we', 'present', 'an', 'experimental', 'study', 'of', 'stochastic', 'resonance', 'in', 'an', 'electronic', 'chua', 'circuit', 'operating', 'in', 'the', 'chaotic', 'regime', 'we', 'study', 'in', 'detail', 'the', 'switchphase', 'distribution', 'and', 'the', 'phaseshift', 'between', 'sinusoidal', 'forcing', 'for', 'two', 'responses', 'of', 'the', 'circuit', 'one', 'depending', 'on', 'both', 'interwell', 'and', 'intrawell', 'dynamics', 'and', 'the', 'other', 'depending', 'only', 'on', 'interwell', 'dynamics', 'we', 'describe', 'the', 'two', 'relevant', 'desynchronizatrion', 'mechanisms', 'for', 'high', 'and', 'low', 'frequencies', 'of', 'the', 'forcing', 'and', 'present', 'a', 'method', 'to', 'detect', 'the', 'optimal', 'noise', 'intensity', 'from', 'switch', 'phases', 'which', 'coincides', 'with', 'the', 'one', 'derived', 'from', 'the', 'observation', 'of', 'the', 'signaltonoise', 'ratio', 'or', 'residence', 'times']] | [-0.1829406011485078, 0.13971413189919027, -0.058016050793230536, 0.03241126650552216, 0.022901492524205855, -0.16054318801646955, 0.06921941798278376, 0.3543826231536897, -0.2610041626680054, -0.28496229176066423, 0.08517531803196395, -0.2571585401696594, -0.17268115116136246, 0.23595940674606122, 0.004393538018982662, 0.009681745814649683, -0.0004684759769588709, 0.03300524165755824, -0.024606420053169133, -0.16225937513242428, 0.2968870802133001, 0.03897013209368053, 0.28183655843726896, 0.017200391945478163, 0.12928743813873123, -0.02182761436622394, 0.013122297392079705, -0.02558594746024985, -0.13973593064828924, 0.04824474711755389, 0.17660665202297662, 0.06822497270584695, 0.20464674326052007, -0.4599822917266896, -0.16804818429641033, 0.08431173713975831, 0.09342441061284933, 0.12199675778392702, -0.00013840100237805591, -0.2636948197197757, 0.01198968971638303, -0.12084779968779338, -0.08012970661450373, -0.04524108147934863, 0.0321929848409797, 0.08067382543690894, -0.27370367781504207, 0.07116197171424957, 0.04180126107346855, 0.08463925895967374, -0.0765125651304659, -0.1052266178750678, 0.019428714649065544, 0.13521683318785538, 0.02984402353238118, -0.026975082258056653, 0.1405170053537739, -0.13292103591620139, -0.11173394860111568, 0.329336454768322, -0.12308056267272485, -0.1660451996091165, 0.22699515727152558, -0.19290170336010448, -0.08579113729984353, 0.13391360368481592, 0.18479642841940452, 0.08005207005005918, -0.14270263632857486, 0.028135412426261035, 0.030505340321887113, 0.20689681048848127, 0.08192287507761074, 0.07063840304158236, 0.1723140084527825, 0.1808108163997531, 0.06344471081699196, 0.17219147289135053, -0.1457355800452397, -0.11624778556196314, -0.2680492292697492, -0.07585984453081006, -0.16484459816649752, 0.02562124948262384, -0.07262711901337178, -0.14783630820089264, 0.46915017249748897, 0.18273323974204495, 0.23628405336486666, 0.032137794372331545, 0.3047189793794563, 0.1596307854070083, -0.017149769455978747, 0.034849426111108375, 0.2638708437449838, 0.12122274337238387, 0.09431380590325908, -0.32172422680611673, 0.05672654990400923, -0.016101138636861977] |
710.5354 | Are ring galaxies the ancestors of giant low surface brightness
galaxies? | We simulate the collisional formation of a ring galaxy and we integrate its
evolution up to 1.5 Gyr after the interaction. About 100-200 Myr after the
collision, the simulated galaxy is very similar to observed ring galaxies (e.g.
Cartwheel). After this stage, the ring keeps expanding and fades. Approximately
0.5-1 Gyr after the interaction, the disc becomes very large (~100 kpc) and
flat. Such extended discs have been observed only in giant low surface
brightness galaxies (GLSBs). We compare various properties of our simulated
galaxies (surface brightness profile, morphology, HI spectrum and rotation
curve) with the observations of four well-known GLSBs (UGC6614, Malin 1, Malin
2 and NGC7589). The simulations match quite well the observations, suggesting
that ring galaxies could be the progenitors of GLSBs. This result is crucial
for the cold dark matter (CDM) model, as it was very difficult, so far, to
explain the formation of GLSBs within the CDM scenario.
| astro-ph | we simulate the collisional formation of a ring galaxy and we integrate its evolution up to 15 gyr after the interaction about 100200 myr after the collision the simulated galaxy is very similar to observed ring galaxies eg cartwheel after this stage the ring keeps expanding and fades approximately 051 gyr after the interaction the disc becomes very large 100 kpc and flat such extended discs have been observed only in giant low surface brightness galaxies glsbs we compare various properties of our simulated galaxies surface brightness profile morphology hi spectrum and rotation curve with the observations of four wellknown glsbs ugc6614 malin 1 malin 2 and ngc7589 the simulations match quite well the observations suggesting that ring galaxies could be the progenitors of glsbs this result is crucial for the cold dark matter cdm model as it was very difficult so far to explain the formation of glsbs within the cdm scenario | [['we', 'simulate', 'the', 'collisional', 'formation', 'of', 'a', 'ring', 'galaxy', 'and', 'we', 'integrate', 'its', 'evolution', 'up', 'to', '15', 'gyr', 'after', 'the', 'interaction', 'about', '100200', 'myr', 'after', 'the', 'collision', 'the', 'simulated', 'galaxy', 'is', 'very', 'similar', 'to', 'observed', 'ring', 'galaxies', 'eg', 'cartwheel', 'after', 'this', 'stage', 'the', 'ring', 'keeps', 'expanding', 'and', 'fades', 'approximately', '051', 'gyr', 'after', 'the', 'interaction', 'the', 'disc', 'becomes', 'very', 'large', '100', 'kpc', 'and', 'flat', 'such', 'extended', 'discs', 'have', 'been', 'observed', 'only', 'in', 'giant', 'low', 'surface', 'brightness', 'galaxies', 'glsbs', 'we', 'compare', 'various', 'properties', 'of', 'our', 'simulated', 'galaxies', 'surface', 'brightness', 'profile', 'morphology', 'hi', 'spectrum', 'and', 'rotation', 'curve', 'with', 'the', 'observations', 'of', 'four', 'wellknown', 'glsbs', 'ugc6614', 'malin', '1', 'malin', '2', 'and', 'ngc7589', 'the', 'simulations', 'match', 'quite', 'well', 'the', 'observations', 'suggesting', 'that', 'ring', 'galaxies', 'could', 'be', 'the', 'progenitors', 'of', 'glsbs', 'this', 'result', 'is', 'crucial', 'for', 'the', 'cold', 'dark', 'matter', 'cdm', 'model', 'as', 'it', 'was', 'very', 'difficult', 'so', 'far', 'to', 'explain', 'the', 'formation', 'of', 'glsbs', 'within', 'the', 'cdm', 'scenario']] | [-0.0684822921580265, 0.07861239220083549, -0.12621249283189015, 0.144903702581215, -0.06413919443036399, -0.08754097806006078, -0.0505280757433926, 0.4459746970936952, -0.1846457042805357, -0.3648414291735948, 0.06656514908671256, -0.2505616504723663, -0.032611201854965445, 0.16612472955217672, -0.012555970720922119, -0.04111484789778324, 0.04463576268333794, -0.07584459971118447, -0.03284143877141671, -0.3191744857714419, 0.2744108114625938, 0.10791155689381315, 0.13984235090709335, -0.018707352576296257, 0.06241566655133536, -0.12166570221067757, -0.04083628636717007, -0.05654471550778245, -0.18339526401825954, -0.03614079542087995, 0.22532982568623536, 0.10998203180304772, 0.20303768221911858, -0.40790228390239724, -0.20860189929086442, 0.07719465302278762, 0.214358516145688, 0.06270518357873607, -0.08502677129273185, -0.25252484579860474, 0.09021436098025531, -0.21516071571598433, -0.21855032162753163, 0.09137345310177235, 0.08049488906279847, -0.009093146021817102, -0.15851879419661774, 0.1607571205784203, 0.03148204151815457, 0.06501406754385557, -0.0970141607335158, -0.060477293480614765, -0.059912366124135225, 0.03987765438555561, 0.02312269577037987, 0.06887341280227267, 0.2434133574681122, -0.13817624027674266, 0.03192168650131007, 0.4367927226009748, -0.09153049899610562, 0.05897491024683742, 0.2698062311978209, -0.22177268183537271, -0.12437754824822336, 0.13612580003327882, 0.09622947863358634, 0.08361715271248674, -0.0971721832868674, 0.025872323923977092, -0.044048038849434416, 0.2190547945804351, 0.07229731203093878, 0.010344418043475783, 0.3360152474376342, 0.15489968419112018, 0.0034280772165191787, 0.06492105626812612, -0.20904994874403177, -0.06391938628678191, -0.2166361161715826, -0.07168415011082535, -0.13072783790146378, 0.07829095726518195, -0.14108372601132688, -0.07344654571289654, 0.3803399277601194, 0.0949251843132202, 0.28518892108271554, 0.07026948129745904, 0.296616971683966, 0.0368712066537053, 0.1349855817805063, 0.11632129188707185, 0.2912433629929526, 0.18090114132532023, 0.0660244719871622, -0.2174832103230423, 0.057572358124426855, -0.08149766995546882] |
710.5355 | ANTARES alternative event reconstruction strategies | The ANTARES Collaboration is building a high-energy neutrino telescope at
2500 m depth in the Mediterranean Sea. The experiment aims to search for
high-energy cosmic neutrinos through the detection of Cerenkov light induced by
muons and showers resulting from neutrino interactions with the surrounding
medium. The detector will consist of a three-dimensional array of 900 optical
modules housing photomultipliers. It will be composed of 12 strings, 5 of them
being already in operation since January 2007. The muon track is reconstructed
from the arrival time and the charge of the signals obtained from the
photomultipliers, whose positions are known by means of an acoustic positioning
system. The reconstruction strategies include several steps among which there
are: optical background filtering, algorithms for first estimations of the
track parameters, and a final fit aiming to reach an angular resolution better
than 0.3 degree above 10 TeV in the full detector. Different reconstruction
strategies will be presented and their application to the present real data
analysis will be reviewed.
| astro-ph | the antares collaboration is building a highenergy neutrino telescope at 2500 m depth in the mediterranean sea the experiment aims to search for highenergy cosmic neutrinos through the detection of cerenkov light induced by muons and showers resulting from neutrino interactions with the surrounding medium the detector will consist of a threedimensional array of 900 optical modules housing photomultipliers it will be composed of 12 strings 5 of them being already in operation since january 2007 the muon track is reconstructed from the arrival time and the charge of the signals obtained from the photomultipliers whose positions are known by means of an acoustic positioning system the reconstruction strategies include several steps among which there are optical background filtering algorithms for first estimations of the track parameters and a final fit aiming to reach an angular resolution better than 03 degree above 10 tev in the full detector different reconstruction strategies will be presented and their application to the present real data analysis will be reviewed | [['the', 'antares', 'collaboration', 'is', 'building', 'a', 'highenergy', 'neutrino', 'telescope', 'at', '2500', 'm', 'depth', 'in', 'the', 'mediterranean', 'sea', 'the', 'experiment', 'aims', 'to', 'search', 'for', 'highenergy', 'cosmic', 'neutrinos', 'through', 'the', 'detection', 'of', 'cerenkov', 'light', 'induced', 'by', 'muons', 'and', 'showers', 'resulting', 'from', 'neutrino', 'interactions', 'with', 'the', 'surrounding', 'medium', 'the', 'detector', 'will', 'consist', 'of', 'a', 'threedimensional', 'array', 'of', '900', 'optical', 'modules', 'housing', 'photomultipliers', 'it', 'will', 'be', 'composed', 'of', '12', 'strings', '5', 'of', 'them', 'being', 'already', 'in', 'operation', 'since', 'january', '2007', 'the', 'muon', 'track', 'is', 'reconstructed', 'from', 'the', 'arrival', 'time', 'and', 'the', 'charge', 'of', 'the', 'signals', 'obtained', 'from', 'the', 'photomultipliers', 'whose', 'positions', 'are', 'known', 'by', 'means', 'of', 'an', 'acoustic', 'positioning', 'system', 'the', 'reconstruction', 'strategies', 'include', 'several', 'steps', 'among', 'which', 'there', 'are', 'optical', 'background', 'filtering', 'algorithms', 'for', 'first', 'estimations', 'of', 'the', 'track', 'parameters', 'and', 'a', 'final', 'fit', 'aiming', 'to', 'reach', 'an', 'angular', 'resolution', 'better', 'than', '03', 'degree', 'above', '10', 'tev', 'in', 'the', 'full', 'detector', 'different', 'reconstruction', 'strategies', 'will', 'be', 'presented', 'and', 'their', 'application', 'to', 'the', 'present', 'real', 'data', 'analysis', 'will', 'be', 'reviewed']] | [-0.06321485312490763, 0.19727384089930572, -0.04604840427195283, 0.07410110433232488, -0.02894103375834368, -0.09703504208037741, -0.010600075594862047, 0.3846463662157037, -0.2161771600241268, -0.4071962011708732, 0.12348600439460813, -0.3589358608159854, -0.0407665753982546, 0.20654186100912203, 0.010187851669019964, 0.040668751769530845, 0.1297821634763246, -0.00652775947069076, -0.04995467637508479, -0.24257085644022888, 0.22814983788159598, 0.18743413972320505, 0.2578778307918594, 0.01976248115043055, 0.13698625744738424, -0.005135644786901413, -0.12791634353013787, -0.040900701813326855, -0.07007784384558068, 0.06849004999111709, 0.2793362476646967, 0.1460901415050475, 0.1338471326253276, -0.40988759677969366, -0.15037483214793435, 0.11865762456640018, 0.11489548969660403, 0.050563665395125704, -0.045859094069574974, -0.3488831548188555, 0.07781355881660963, -0.15261494351544977, -0.14918208802231106, 0.024381574704760618, -0.038570027184077954, 0.028883047269359904, -0.2147777617785586, -0.004733705163809909, -0.02453671049618398, 0.04374483410067048, -0.04244419501172884, -0.15250604755051592, 0.014634560694755336, 0.1388293143883572, 0.018600589374125183, 0.025766670963367874, 0.13522756786972104, -0.12420506424309843, -0.11442404664654554, 0.35520247235355606, -0.03118942749831357, -0.12153827461010092, 0.17205701991025055, -0.1838058235785778, -0.06568164710258415, 0.22737778040457024, 0.20138053072010537, 0.06802386682128522, -0.23134116330099888, 0.03287894705293633, 0.0025079256815678744, 0.18982184123940743, 0.09711377037929635, 0.023103114019753974, 0.27023548216149434, 0.24972245281320962, 0.10086162028699575, 0.058538667525933404, -0.1954721449076616, 0.02194259948579662, -0.3039320101986039, -0.10879076822346682, -0.14464507580184974, 0.045265645496350856, -0.05184565666475311, -0.08943926945261388, 0.4303180448800685, 0.13152880703115902, 0.17100522666748794, -0.013970494219130018, 0.3288724406009417, 0.016659941198865335, 0.06970348824180259, 0.05210555936294013, 0.30161242738803734, 0.10465582839566766, 0.16566634596836002, -0.17583837972656566, -0.0037779849638365746, 0.04140130574786923] |
710.5356 | Differential Fay identities and auxiliary linear problem of integrable
hiearchies | We review the notion of differential Fay identities and demonstrate, through
case studies, its new role in integrable hierarchies of the KP type. These
identities are known to be a convenient tool for deriving dispersionless Hirota
equations. We show that differential (or, in the case of the Toda hierarchy,
difference) Fay identities play a more fundamental role. Namely, they are
nothing but a generating functional expression of the full set of auxiliary
linear equations, hence substantially equivalent to the integrable hierarchies
themselves. These results are illustrated for the KP, Toda, BKP and DKP
hierarchies. As a byproduct, we point out some new features of the DKP
hierarchy and its dispersionless limit.
| nlin.SI hep-th math-ph math.MP | we review the notion of differential fay identities and demonstrate through case studies its new role in integrable hierarchies of the kp type these identities are known to be a convenient tool for deriving dispersionless hirota equations we show that differential or in the case of the toda hierarchy difference fay identities play a more fundamental role namely they are nothing but a generating functional expression of the full set of auxiliary linear equations hence substantially equivalent to the integrable hierarchies themselves these results are illustrated for the kp toda bkp and dkp hierarchies as a byproduct we point out some new features of the dkp hierarchy and its dispersionless limit | [['we', 'review', 'the', 'notion', 'of', 'differential', 'fay', 'identities', 'and', 'demonstrate', 'through', 'case', 'studies', 'its', 'new', 'role', 'in', 'integrable', 'hierarchies', 'of', 'the', 'kp', 'type', 'these', 'identities', 'are', 'known', 'to', 'be', 'a', 'convenient', 'tool', 'for', 'deriving', 'dispersionless', 'hirota', 'equations', 'we', 'show', 'that', 'differential', 'or', 'in', 'the', 'case', 'of', 'the', 'toda', 'hierarchy', 'difference', 'fay', 'identities', 'play', 'a', 'more', 'fundamental', 'role', 'namely', 'they', 'are', 'nothing', 'but', 'a', 'generating', 'functional', 'expression', 'of', 'the', 'full', 'set', 'of', 'auxiliary', 'linear', 'equations', 'hence', 'substantially', 'equivalent', 'to', 'the', 'integrable', 'hierarchies', 'themselves', 'these', 'results', 'are', 'illustrated', 'for', 'the', 'kp', 'toda', 'bkp', 'and', 'dkp', 'hierarchies', 'as', 'a', 'byproduct', 'we', 'point', 'out', 'some', 'new', 'features', 'of', 'the', 'dkp', 'hierarchy', 'and', 'its', 'dispersionless', 'limit']] | [-0.1583314079734673, 0.043650989022173056, -0.056508926204867194, 0.20185646555713704, -0.14339309929123334, -0.15128813036256009, -0.005082399248741231, 0.2684141382625377, -0.34024842838580543, -0.26939535638116097, 0.12413362640811987, -0.28034475587543334, -0.2410344861988985, 0.21342657106878185, 0.006642931900280822, 0.04364853967841178, 0.0788239772507065, 0.009992633400870874, -0.12843124723158408, -0.2692614720110689, 0.3647157142425443, -0.024488981857503606, 0.23473009787948784, 0.015197868265949929, 0.13749526317759947, -0.01713049836322531, -0.05977469674303188, -0.04997276330182144, -0.11482680035443811, 0.10039813948484759, 0.26869090737120527, 0.10073284613732081, 0.1829350475758851, -0.39295096643403304, -0.1291393897504554, 0.060044204439707774, 0.20697741319953994, 0.1355870178237826, -0.03657907101408021, -0.30369679913814135, 0.038621075463959494, -0.14096311457572622, -0.2135312667007449, -0.1195825620109702, 0.0061947346438427225, 0.05358154309896736, -0.21942180209700857, 0.11877765319402422, 0.1027307563570437, 0.02723574390853042, -0.06034727660972659, -0.15354346765020677, -0.07990536799335533, 0.08287412106260858, 0.01939801908693872, -0.06204777137955298, -0.0018638929505287124, -0.15407777447169563, -0.10384755786130759, 0.3980893142991238, -0.05629466172844708, -0.3010835354342251, 0.14723782650581016, -0.06594394360509542, -0.19726699815752605, 0.07866481468417086, 0.11347406859685844, 0.09304416955759127, -0.19120236435015728, 0.11128459157483014, -0.11952456628047936, 0.10233479120631216, 0.09918475289082339, 0.06435420448883428, 0.19572936276158504, 0.13686585694819958, 0.021923492838804785, 0.11201265790847945, 0.024499954408252828, -0.17682098288944847, -0.33869099804946967, -0.18023602345010248, -0.06253101054562239, 0.09595326883828494, -0.07967506225710118, -0.14182931323628034, 0.39531895832099895, 0.1188950129021127, 0.12494705187635043, 0.09382169239793543, 0.1278362844038654, 0.23265220003995965, 0.09837362160570584, 0.0037057062166298295, 0.16510595285322158, 0.19604537080604215, 0.14109459844929678, -0.20095130379169104, -0.06609022801926544, 0.19239329804271996] |
710.5357 | A survey of one-loop electroweak supersymmetric effects in stop-antistop
production at LHC | This paper has been withdrawn by the authors because the analysis has been
extended in Ref.(arXiv:0804.1252) to the sbottom-antisbottom case.
| hep-ph | this paper has been withdrawn by the authors because the analysis has been extended in refarxiv08041252 to the sbottomantisbottom case | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'because', 'the', 'analysis', 'has', 'been', 'extended', 'in', 'refarxiv08041252', 'to', 'the', 'sbottomantisbottom', 'case']] | [-0.05445553103668822, -0.04946247860789299, -0.17051703027553028, -0.0422353075312761, -0.10339683273600207, -0.03577088637070523, -0.061625629656999886, 0.36906904230515164, -0.18986683732105625, -0.3383951576219665, 0.18984546224560794, -0.30562694432834786, -0.14731571968230936, 0.0938218135593666, -0.18836165602422422, 0.09743211356302102, -0.0045055436591307325, 0.009802734065386984, -0.02435539275433661, -0.32040838566091323, 0.2951648506956796, 0.14039511337048477, 0.2786383417745431, 0.17891163270299634, -0.0021615344513621596, -0.056824206866116986, -0.10545341949909925, 0.054882653005835086, -0.11290816791976492, 0.08201446311755313, 0.2590090036392212, 0.03945920758673714, 0.4151056430613001, -0.3802383802831173, -0.3341330861051877, 0.19562860526558426, 0.2698206738051441, 0.1611272922406594, -0.0880602869308657, -0.33098927521819455, 0.19661121367890802, -0.29081295730753076, -0.12606274763432643, -0.004072280600667, 0.14427871629595757, -0.09195317969554001, -0.11378627746469444, 0.0009972391029198964, 0.14090813789516687, 0.12257160841383868, 0.027890448975894187, -0.13866927102208138, 0.06167304852149553, 0.14000916869069138, 0.21762904793851906, 0.06686994425641994, -0.03956093401130703, -0.03039814468421456, -0.08837055984056658, 0.36606869681013954, 0.020203856854803033, -0.2272505708452728, 0.1762067990170585, -0.0986243818834838, -0.2046955834246344, 0.13137158234086302, 0.14131667100850287, 0.09195717496590482, -0.2672168693194787, 0.26486334406460327, -0.11345229354790515, 0.1534169087600377, 0.13603243361123735, -0.06663474233614074, 0.13083676455749405, 0.18524242213202846, -0.02609934388763375, 0.23346013063564897, -0.06336119036293691, -0.06861643451783392, -0.12641054722997877, -0.17078164048467037, -0.22630176631112894, 0.024650802169667765, 0.22374028764251205, -0.0459278958539168, 0.4481702422102292, 0.17252933813465965, 0.11181400121293134, -0.13476040152211985, 0.30984057757693034, 0.208613098540809, 0.15206854562792513, 0.005895139908211099, 0.39069855875439113, 0.1394069683350002, 0.18542593831403387, -0.0677659230099784, 0.22809808721972835, 0.12031609539149536] |
710.5358 | Level truncation analysis of exact solutions in open string field theory | We evaluate vacuum energy density of Schnabl's solution using the level
truncation calculation and the total action including interaction terms. The
level truncated solution provides vacuum energy density expected both for
tachyon vacuum and trivial pure gauge. We discuss the role of the phantom term
to reproduce correct vacuum energy.
| hep-th | we evaluate vacuum energy density of schnabls solution using the level truncation calculation and the total action including interaction terms the level truncated solution provides vacuum energy density expected both for tachyon vacuum and trivial pure gauge we discuss the role of the phantom term to reproduce correct vacuum energy | [['we', 'evaluate', 'vacuum', 'energy', 'density', 'of', 'schnabls', 'solution', 'using', 'the', 'level', 'truncation', 'calculation', 'and', 'the', 'total', 'action', 'including', 'interaction', 'terms', 'the', 'level', 'truncated', 'solution', 'provides', 'vacuum', 'energy', 'density', 'expected', 'both', 'for', 'tachyon', 'vacuum', 'and', 'trivial', 'pure', 'gauge', 'we', 'discuss', 'the', 'role', 'of', 'the', 'phantom', 'term', 'to', 'reproduce', 'correct', 'vacuum', 'energy']] | [-0.13335409278050064, 0.10480847598286346, -0.07939768950454891, 0.14021174247376622, -0.01852028302848339, -0.06447514754720032, 0.006397881209850311, 0.28188123501837253, -0.15133065789937972, -0.3512549269758165, 0.04594818416982889, -0.23834870202466846, -0.057801954233582364, 0.06039715034887195, 0.009343549013137817, 0.04566177412867546, 0.03941206939518452, 0.08363192930817603, -0.08378370981197804, -0.19393525716150178, 0.3698977469652891, 0.13032419079449029, 0.31913300747051837, 0.12933760263025762, 0.14948885721154512, -0.018269363935105504, 0.011061364877969026, -0.023875876031816005, -0.17257096839137376, 0.03956698801368475, 0.18937521703192034, 0.06632318466901779, 0.2013183381408453, -0.4708062553405762, -0.17117266871966422, 0.12749017477035524, 0.06876503536477685, 0.15296014664694668, -0.0543117587827146, -0.2517594798654318, 0.05374968085438013, -0.22151212267577647, -0.20762779428856448, -0.1527414907515049, -0.070864951107651, -0.08040113078430294, -0.2529121442139149, 0.1439688517525792, -0.09020158565603197, -0.06734349715756252, -0.19495981454849243, -0.13934698030352594, -0.070406972784549, 0.08248695455491543, 0.12002933364361525, 0.04174053541035391, 0.17360775692388417, -0.2525352903023304, -0.039695274382829666, 0.3696821146458387, -0.17635352425510065, -0.1959460037201643, 0.10801798120141029, -0.1193449055403471, -0.029415265917778016, 0.16304515590891241, 0.06339722103904932, 0.0855124640185386, -0.08337502498179675, 0.2091550926095806, 0.05825124928262085, 0.164094115877524, 0.12527401436120272, 0.06643807895015925, 0.21327546469867228, 0.06899558583274484, 0.009907894870266318, 0.13981358667835594, -0.05987964829429984, -0.16683838687837124, -0.42505549632012846, -0.17656798016279937, -0.12384227646514773, 0.06770402814261615, -0.10110132030153181, -0.2076427417807281, 0.42223123520612715, 0.12290084056556225, 0.11267409135587514, 0.049722415022552015, 0.28179243877530097, 0.2193351381830871, 0.005217346912249923, 0.05413527275435626, 0.2830024332180619, 0.08193747096695006, 0.06112219840288162, -0.32777073346078395, -0.06992049534805118, 0.10758571933023632] |
710.5359 | Ultra-Cool and Extra-Vigorous: Rotation and Activity in M and L dwarfs | The study of rotation and activity in low-mass stars or brown dwarfs of
spectral classes M and L has seen enormous progress during the last years. I
summarize the results from different works that measured activity, rotation,
and sometimes magnetic fields. The generation of magnetic activity seems to be
unchanged at the threshold to completely convective stars, i.e. no change in
the efficiency of the magnetic dynamos is observed. On the other hand, a sudden
change in the strength of rotational braking appears at the threshold mass to
full convection, and strong evidence exists for rotational braking weakening
with lower mass. A probable explanation is that the field topology changes from
dipolar to small scale structure as the objects become fully convective.
| astro-ph | the study of rotation and activity in lowmass stars or brown dwarfs of spectral classes m and l has seen enormous progress during the last years i summarize the results from different works that measured activity rotation and sometimes magnetic fields the generation of magnetic activity seems to be unchanged at the threshold to completely convective stars ie no change in the efficiency of the magnetic dynamos is observed on the other hand a sudden change in the strength of rotational braking appears at the threshold mass to full convection and strong evidence exists for rotational braking weakening with lower mass a probable explanation is that the field topology changes from dipolar to small scale structure as the objects become fully convective | [['the', 'study', 'of', 'rotation', 'and', 'activity', 'in', 'lowmass', 'stars', 'or', 'brown', 'dwarfs', 'of', 'spectral', 'classes', 'm', 'and', 'l', 'has', 'seen', 'enormous', 'progress', 'during', 'the', 'last', 'years', 'i', 'summarize', 'the', 'results', 'from', 'different', 'works', 'that', 'measured', 'activity', 'rotation', 'and', 'sometimes', 'magnetic', 'fields', 'the', 'generation', 'of', 'magnetic', 'activity', 'seems', 'to', 'be', 'unchanged', 'at', 'the', 'threshold', 'to', 'completely', 'convective', 'stars', 'ie', 'no', 'change', 'in', 'the', 'efficiency', 'of', 'the', 'magnetic', 'dynamos', 'is', 'observed', 'on', 'the', 'other', 'hand', 'a', 'sudden', 'change', 'in', 'the', 'strength', 'of', 'rotational', 'braking', 'appears', 'at', 'the', 'threshold', 'mass', 'to', 'full', 'convection', 'and', 'strong', 'evidence', 'exists', 'for', 'rotational', 'braking', 'weakening', 'with', 'lower', 'mass', 'a', 'probable', 'explanation', 'is', 'that', 'the', 'field', 'topology', 'changes', 'from', 'dipolar', 'to', 'small', 'scale', 'structure', 'as', 'the', 'objects', 'become', 'fully', 'convective']] | [-0.13566552717849367, 0.22760453651140092, -0.02692950358156298, 0.1061356524711658, -0.1103578769510276, -0.05496883031446487, 0.05495375580131458, 0.37292966832880114, -0.21702172334657097, -0.3888058149118404, 0.07801005626803448, -0.21036732545862982, -0.0772011571537062, 0.19847803626240032, -0.06641545700821568, -0.042136970834928705, 0.07290947160179742, 0.05071662705712265, -0.06246837701449995, -0.18709737052148606, 0.32112411488626214, 0.05642972035585429, 0.21375237936612035, 0.036849996613216446, 0.038715321580177084, -0.11517065961952092, -0.01698282916770607, 0.018406206529137114, -0.1283884619666334, 0.016933508033706277, 0.18226429033780195, 0.07261577815573174, 0.23104135725899128, -0.39759596055526225, -0.2320257043275127, 0.08786742838450753, 0.14468287866081675, 0.08908584578817741, -0.053385653259179204, -0.22503196971861217, 0.075059564122892, -0.15427678139483342, -0.14848406174884285, -0.027639255951159656, 0.12712937305761562, 0.007295661863535032, -0.25891696045520624, 0.09529510809043727, 0.127480206420439, 0.14666029001151012, -0.11863386308484268, -0.09362056961313622, -0.09375968262110455, 0.13227285046061715, 0.13621347903304534, 0.09024196019449622, 0.1614242812430631, -0.16805394410659544, -0.07359680801927738, 0.36399878859214607, -0.10026047810851062, -0.041505563532796184, 0.22453366990246978, -0.22692941652504026, -0.16182346724462313, 0.16872989665716887, 0.15349443446173042, 0.11518199163389804, -0.08362669194714532, 0.009096722742618963, -1.5469993174564644e-05, 0.17724367053263257, 0.05805591423614103, 0.018352262900481916, 0.2985543643475556, 0.1626714396771887, 0.05246762792030197, 0.05234972611651756, -0.18263670313744576, -0.06846975684013279, -0.22608222948868195, -0.0956806180632261, -0.13481495254978415, 0.064597412926664, -0.0587752128557157, -0.1374780850019306, 0.37066966755178254, 0.11554237078402008, 0.20540554934471358, -0.002846768601095212, 0.29656743565402527, 0.11663413186248422, 0.14153200239095776, 0.12107716963366895, 0.32739351703556346, 0.20613218033228253, 0.15337416812487434, -0.2747936796312999, 0.10755495831263481, 0.0002941545957821559] |
710.536 | Elementary evaluations of some Euler sums | This short note contains elementary evaluations of some Euler sums.
| math.CA | this short note contains elementary evaluations of some euler sums | [['this', 'short', 'note', 'contains', 'elementary', 'evaluations', 'of', 'some', 'euler', 'sums']] | [-0.36478171274065974, 0.11038438800605946, -0.1549220584332943, 0.1623135838075541, -0.13766529466956853, -0.08898096866905689, -0.0439530098810792, 0.2914481103420258, -0.25793857127428055, -0.19707256108522414, 0.05814591720700264, -0.339258506312035, -0.17105540317134, 0.2249790269881487, -0.14985503638163208, -0.07882319018244743, 0.16750608943402767, 0.0645689234137535, -0.13182607144117356, -0.45000838190317155, 0.22867633198311524, -0.1270553706213832, 0.013058109488338233, 0.11621311716735364, 0.12305947607383132, 0.043434305395931, -0.17990157352760433, -0.07668347449071007, -0.21304680909961463, 0.1474554728716612, 0.2993196092545986, 0.07915515583008528, 0.32114762971177696, -0.42306211218237877, -0.01206612903624773, 0.12962024416774512, 0.1906795721501112, 0.042173415794968604, -0.014605981204658747, -0.14362837336957454, 0.005502045899629593, -0.17915882170200348, -0.10625710487365722, -0.05769285187125206, 0.05870694275945425, 0.28030311688780785, -0.14293497577309608, 0.01709317471832037, 0.1721170362085104, 0.19260862953960894, 0.05576414428651333, -0.26610324773937466, 0.23815656900405885, 0.01547761824913323, 0.21104898154735566, -0.014112028980161995, -0.007608836703002453, -0.07721471027180087, -0.029908064706251025, 0.3553203299641609, -0.04585298510501161, -0.26248103091493247, 0.1528971318155527, -0.10615387484431267, -0.24614000096917152, 0.2664712117984891, 0.04166019097901881, 0.18627618625760078, -0.09524280671030283, 0.10065785488113761, -0.26501376628875734, 0.12243095301091671, 0.1955734678544104, 0.10873777270317078, 0.09350373446941376, 0.09620584575459361, -0.04655126323923468, 0.20237829906400293, 0.056239868886768817, -0.05164119750261307, -0.5603487476706505, -0.2494332604110241, -0.22750523947179319, 0.2653296645730734, -0.052920059859752656, -0.29323760624974965, 0.45152590721845626, 0.1325221173465252, 0.06129432395100594, 0.2620173951610923, 0.2978673749603331, 0.10505659868940712, -0.04765264987945557, 0.012308958545327186, -0.04264318634232041, 0.14977375706657767, 0.048883822932839396, -0.011392832919955253, 0.021569496812298895, 0.27086871173232796] |
710.5361 | On the bounded cohomology of semi-simple groups, S-arithmetic groups and
products | We prove vanishing results for Lie groups and algebraic groups (over any
local field) in bounded cohomology. The main result is a vanishing below twice
the rank for semi-simple groups. Related rigidity results are established for
S-arithmetic groups and groups over global fields. We also establish vanishing
and cohomological rigidity results for products of general locally compact
groups and their lattices.
| math.GR | we prove vanishing results for lie groups and algebraic groups over any local field in bounded cohomology the main result is a vanishing below twice the rank for semisimple groups related rigidity results are established for sarithmetic groups and groups over global fields we also establish vanishing and cohomological rigidity results for products of general locally compact groups and their lattices | [['we', 'prove', 'vanishing', 'results', 'for', 'lie', 'groups', 'and', 'algebraic', 'groups', 'over', 'any', 'local', 'field', 'in', 'bounded', 'cohomology', 'the', 'main', 'result', 'is', 'a', 'vanishing', 'below', 'twice', 'the', 'rank', 'for', 'semisimple', 'groups', 'related', 'rigidity', 'results', 'are', 'established', 'for', 'sarithmetic', 'groups', 'and', 'groups', 'over', 'global', 'fields', 'we', 'also', 'establish', 'vanishing', 'and', 'cohomological', 'rigidity', 'results', 'for', 'products', 'of', 'general', 'locally', 'compact', 'groups', 'and', 'their', 'lattices']] | [-0.23345819133959833, 0.1292483612635463, -0.08855199328333628, 0.11605040461290628, -0.08627594469237279, -0.10944501141880135, 0.01744290968006263, 0.381811756701743, -0.295740313553175, -0.2010775036254867, 0.18281945710444486, -0.18234127283584875, -0.1328853355323682, 0.2755852800900819, -0.13957354394322047, -0.07975799537294345, 0.01583629554962037, 0.14848729784859985, -0.11223110622253085, -0.3392844525028448, 0.4624839655932833, -0.0726866020561486, 0.2629696127546371, 0.1077946554220541, 0.06757256554699213, 0.0392209358559158, -0.05178641231700045, 0.0218942276980789, -0.15125306419356435, 0.1311169738621741, 0.33857223547262244, -0.03423619973015223, 0.1921507731599153, -0.33075669508610595, -0.1873230388784995, 0.2145557798842182, 0.0914786035637753, 0.0613870482708587, -0.07289645163586637, -0.31614405319827504, 0.19358947450966865, -0.16187919645768697, -0.19587079224894283, -0.11794031716856464, 0.04499850773680039, 0.05914251132272794, -0.1991586776786163, 0.08162402274176768, 0.10294542071737776, 0.17158827616176645, -0.2054882921415885, -0.11969715332780338, -0.014979315295693327, 0.1761009457872295, 0.00898492523682777, -0.022241486984564632, 0.13902966884254922, -0.07694101774851318, -0.1293761074184211, 0.3588655664142771, -0.0583730480160381, -0.16340066618133398, 0.22359030614378023, -0.19468277984405638, -0.2242925851300481, 0.10651589563635529, 0.11702049549546886, 0.16344097320068643, 0.02798211333326629, 0.15714332891521274, -0.12416695823251712, 0.03644961743142273, 0.0873588315119631, 0.0026904622781792746, 0.07394175072673892, 0.03354483181763379, 0.1944501226859503, 0.08254466584089716, 0.11929766568030827, 0.01811594646576731, -0.366325635218718, -0.2004245245050578, -0.09424311771118617, 0.12196341353911357, -0.14678603997663978, -0.13130718810850237, 0.39871671908825146, 0.011487654700386719, 0.11873070880404261, 0.23817158955317297, 0.18352070090467812, 0.019946363414866757, 0.09361556352146702, 0.09946303478381062, 0.14048109640229922, 0.3453710475539575, -0.05596160478355577, -0.05472702026886285, -0.08075886834260138, 0.21382008287669196] |
710.5362 | Factorised solutions of Temperley-Lieb $q$KZ equations on a segment | We study the q-deformed Knizhnik-Zamolodchikov equation in path
representations of the Temperley-Lieb algebras. We consider two types of open
boundary conditions, and in both cases we derive factorised expressions for the
solutions of the qKZ equation in terms of Baxterised Demazurre-Lusztig
operators. These expressions are alternative to known integral solutions for
tensor product representations. The factorised expressions reveal the algebraic
structure within the qKZ equation, and effectively reduce it to a set of
truncation conditions on a single scalar function. The factorised expressions
allow for an efficient computation of the full solution once this single scalar
function is known. We further study particular polynomial solutions for which
certain additional factorised expressions give weighted sums over components of
the solution. In the homogeneous limit, we formulate positivity conjectures in
the spirit of Di Francesco and Zinn-Justin. We further conjecture relations
between weighted sums and individual components of the solutions for larger
system sizes.
| math-ph math.CO math.MP math.RT | we study the qdeformed knizhnikzamolodchikov equation in path representations of the temperleylieb algebras we consider two types of open boundary conditions and in both cases we derive factorised expressions for the solutions of the qkz equation in terms of baxterised demazurrelusztig operators these expressions are alternative to known integral solutions for tensor product representations the factorised expressions reveal the algebraic structure within the qkz equation and effectively reduce it to a set of truncation conditions on a single scalar function the factorised expressions allow for an efficient computation of the full solution once this single scalar function is known we further study particular polynomial solutions for which certain additional factorised expressions give weighted sums over components of the solution in the homogeneous limit we formulate positivity conjectures in the spirit of di francesco and zinnjustin we further conjecture relations between weighted sums and individual components of the solutions for larger system sizes | [['we', 'study', 'the', 'qdeformed', 'knizhnikzamolodchikov', 'equation', 'in', 'path', 'representations', 'of', 'the', 'temperleylieb', 'algebras', 'we', 'consider', 'two', 'types', 'of', 'open', 'boundary', 'conditions', 'and', 'in', 'both', 'cases', 'we', 'derive', 'factorised', 'expressions', 'for', 'the', 'solutions', 'of', 'the', 'qkz', 'equation', 'in', 'terms', 'of', 'baxterised', 'demazurrelusztig', 'operators', 'these', 'expressions', 'are', 'alternative', 'to', 'known', 'integral', 'solutions', 'for', 'tensor', 'product', 'representations', 'the', 'factorised', 'expressions', 'reveal', 'the', 'algebraic', 'structure', 'within', 'the', 'qkz', 'equation', 'and', 'effectively', 'reduce', 'it', 'to', 'a', 'set', 'of', 'truncation', 'conditions', 'on', 'a', 'single', 'scalar', 'function', 'the', 'factorised', 'expressions', 'allow', 'for', 'an', 'efficient', 'computation', 'of', 'the', 'full', 'solution', 'once', 'this', 'single', 'scalar', 'function', 'is', 'known', 'we', 'further', 'study', 'particular', 'polynomial', 'solutions', 'for', 'which', 'certain', 'additional', 'factorised', 'expressions', 'give', 'weighted', 'sums', 'over', 'components', 'of', 'the', 'solution', 'in', 'the', 'homogeneous', 'limit', 'we', 'formulate', 'positivity', 'conjectures', 'in', 'the', 'spirit', 'of', 'di', 'francesco', 'and', 'zinnjustin', 'we', 'further', 'conjecture', 'relations', 'between', 'weighted', 'sums', 'and', 'individual', 'components', 'of', 'the', 'solutions', 'for', 'larger', 'system', 'sizes']] | [-0.1575431118408839, 0.03152718559926143, -0.08572517288227877, 0.09329669307917357, -0.07945026013844957, -0.11500482708215713, 0.0004070194934805234, 0.3010374533881744, -0.2856869960219289, -0.2538501571832846, 0.10553815624599035, -0.265484771875975, -0.17431791639576355, 0.18321379895787687, -0.01837817252438981, 0.05599486448491613, 0.06627709144726396, 0.05408495088883986, -0.136261706611452, -0.2535936010731287, 0.3702031884916748, -0.04442878812085837, 0.255335418532292, 0.05459978095876674, 0.12065372336966296, 0.04409493874603262, -0.03430287304023902, -0.04316810312750022, -0.19815721177806456, 0.1345712348073721, 0.25838508126558735, 0.11808301071636379, 0.19945179148111492, -0.4423068264996012, -0.1385260755304868, 0.12525376063616325, 0.18621304707456146, 0.09789358842885122, 0.027117471495488037, -0.2691211078315973, 0.06469074707167843, -0.19322279035424192, -0.17337786527040103, -0.1053416375691692, 0.0323670917066435, 0.0331011287891306, -0.2844340171901664, 0.06968709541795154, 0.040826725793691974, 0.012314549537841231, -0.16813242613337934, -0.1422671153753375, 0.031429118363497155, 0.11331475036218762, -0.0037926887837238608, -0.051293835683415334, 0.01727817713903884, -0.1779588007321581, -0.0933947514059643, 0.3240108530347546, -0.059274466020675994, -0.3169342185618977, 0.11472483623151977, -0.1411427547968924, -0.15045585933141412, 0.07489013879559935, 0.12868980119004847, 0.15242135687420766, -0.16389975142393573, 0.130737217507946, -0.09016156713711097, 0.07334987205220386, 0.11499444061114142, 0.05209977025398985, 0.14918154033352038, 0.043540668243852755, 0.05301913799087439, 0.1876803637140741, 0.02769716888355712, -0.12366305868451793, -0.3519890800615152, -0.1969640518911183, -0.08723683998299142, 0.065982460193336, -0.15632365546460883, -0.20837888004413496, 0.3817423432444533, 0.10421376357475917, 0.15326006281538868, 0.11457561403590565, 0.22909138351678848, 0.21552262514761727, 0.06835825620839993, 0.05731884912587702, 0.13576080712179342, 0.20178447872400285, 0.05724168475794916, -0.175400375504978, 0.0061036460349957146, 0.18401869035636384] |
710.5363 | Algebraic differential characters of flat connections with nilpotent
residues | We construct unramified algebraic differential characters for flat
connections with nilpotent residues along a strict normal crossings divisor.
| math.AG | we construct unramified algebraic differential characters for flat connections with nilpotent residues along a strict normal crossings divisor | [['we', 'construct', 'unramified', 'algebraic', 'differential', 'characters', 'for', 'flat', 'connections', 'with', 'nilpotent', 'residues', 'along', 'a', 'strict', 'normal', 'crossings', 'divisor']] | [-0.3400674023044606, -0.007725519940625721, -0.13012709504821235, 0.14901101858251625, -0.2734026982345515, -0.2572888797925164, 0.04615897209280067, 0.3226647881997956, -0.37567320714394253, -0.12021458306116983, -0.0034036044704003465, -0.27000061691635185, -0.1480156034231186, 0.12042222689423296, -0.1799358881285621, -0.09226139774546027, 0.04218581701732344, 0.1337133046860496, -0.1643090538887514, -0.2821346598987778, 0.44136867361764115, -0.14202120444840854, 0.17974880089362463, -0.059220065233805345, 0.14898661211029524, 0.03343034698627889, 0.04536978046720227, -0.11794662806722853, -0.15887073215304148, 0.16347012451539436, 0.49552974001401, -0.07869541086256504, 0.11640673834416601, -0.440227835956547, -0.017777028183142345, 0.26390037266537547, 0.1807439382084542, -0.011668978543538187, -0.004784357630544239, -0.25658786074361867, 0.12960139522328973, -0.14379377937358287, -0.31900142730511205, -0.07198991642023127, 0.07893793124498592, -0.00026833400544193055, -0.16230453274005818, -0.014562697667214606, 0.017895985912117694, 0.32330174531994593, 0.011805521169056496, -0.10614452062954013, -0.13900670802427662, -0.043453469794864454, 0.0034998981282114983, -0.05807685303605265, 0.09681776319080705, -0.05447536034302579, -0.10615069957243072, 0.25056554687519866, -0.04851574719780021, -0.25979759937359226, 0.06558088699562682, -0.12752088862988684, -0.16165779515480003, 0.22071694893141589, 0.028346307679182954, 0.20066895346260732, 0.04831714263289339, 0.2528655288947953, -0.1066736885242992, -0.01556306735922893, 0.23637007921934128, -0.12635062371070185, 0.16450300002341262, -0.009389012224144407, 0.06220711638323135, 0.08187265114651786, 0.03248155119621919, -0.04638242887126075, -0.43523991935782963, -0.2260044035760479, 0.044102390193276934, 0.15439166138983434, -0.11053948965854943, -0.2579379880593883, 0.5001731425937679, -0.09452002873230311, 0.20828352496027946, 0.2966960085969832, 0.20732766658895546, 0.07408012087560362, 0.09730235849403673, 0.0683976102930804, 0.02725332954691516, 0.34180792793631554, -0.194503514510062, -0.08955476412342654, -0.057815485478689276, 0.197902320470247] |
710.5364 | Measured Quantum Groupoids in action | Franck Lesieur had introduced in his thesis (now published in an expended and
revised version in the {\it M\'emoires de la SMF} (2007)) a notion of measured
quantum groupoid, in the setting of von Neumann algebras and a simplification
of Lesieur's axioms is presented in an appendix of this article. We here
develop the notions of actions, crossed-product, and obtain a biduality
theorem, following what had been done by Stefaan Vaes for locally compact
quantum groups. Moreover, we prove that the inclusion of the initial algebra
into its crossed-product is depth 2, which gives a converse of a result proved
by Jean-Michel Vallin and the author. More precisely, to any action of a
measured quantum groupoid, we associate another measured quantum groupoid. In
particular, starting from an action of a locally compact quantum group, we
obtain a measured quantum groupoid canonically associated to this action; when
the action is outer, this measured quantum groupoid is the initial locally
compact quantum group
| math.OA | franck lesieur had introduced in his thesis now published in an expended and revised version in the it memoires de la smf 2007 a notion of measured quantum groupoid in the setting of von neumann algebras and a simplification of lesieurs axioms is presented in an appendix of this article we here develop the notions of actions crossedproduct and obtain a biduality theorem following what had been done by stefaan vaes for locally compact quantum groups moreover we prove that the inclusion of the initial algebra into its crossedproduct is depth 2 which gives a converse of a result proved by jeanmichel vallin and the author more precisely to any action of a measured quantum groupoid we associate another measured quantum groupoid in particular starting from an action of a locally compact quantum group we obtain a measured quantum groupoid canonically associated to this action when the action is outer this measured quantum groupoid is the initial locally compact quantum group | [['franck', 'lesieur', 'had', 'introduced', 'in', 'his', 'thesis', 'now', 'published', 'in', 'an', 'expended', 'and', 'revised', 'version', 'in', 'the', 'it', 'memoires', 'de', 'la', 'smf', '2007', 'a', 'notion', 'of', 'measured', 'quantum', 'groupoid', 'in', 'the', 'setting', 'of', 'von', 'neumann', 'algebras', 'and', 'a', 'simplification', 'of', 'lesieurs', 'axioms', 'is', 'presented', 'in', 'an', 'appendix', 'of', 'this', 'article', 'we', 'here', 'develop', 'the', 'notions', 'of', 'actions', 'crossedproduct', 'and', 'obtain', 'a', 'biduality', 'theorem', 'following', 'what', 'had', 'been', 'done', 'by', 'stefaan', 'vaes', 'for', 'locally', 'compact', 'quantum', 'groups', 'moreover', 'we', 'prove', 'that', 'the', 'inclusion', 'of', 'the', 'initial', 'algebra', 'into', 'its', 'crossedproduct', 'is', 'depth', '2', 'which', 'gives', 'a', 'converse', 'of', 'a', 'result', 'proved', 'by', 'jeanmichel', 'vallin', 'and', 'the', 'author', 'more', 'precisely', 'to', 'any', 'action', 'of', 'a', 'measured', 'quantum', 'groupoid', 'we', 'associate', 'another', 'measured', 'quantum', 'groupoid', 'in', 'particular', 'starting', 'from', 'an', 'action', 'of', 'a', 'locally', 'compact', 'quantum', 'group', 'we', 'obtain', 'a', 'measured', 'quantum', 'groupoid', 'canonically', 'associated', 'to', 'this', 'action', 'when', 'the', 'action', 'is', 'outer', 'this', 'measured', 'quantum', 'groupoid', 'is', 'the', 'initial', 'locally', 'compact', 'quantum', 'group']] | [-0.12148399650104694, 0.11640250169102728, -0.15960718942369567, 0.06571367956203175, -0.09084328067328898, -0.1269379743927857, 0.004752201325027272, 0.3400317138628452, -0.28784567409020384, -0.222411917939462, 0.06963319661881542, -0.23611872229375877, -0.13651947673060932, 0.20648896287893875, -0.20111318008275703, -0.007070714015935664, 0.0732193598698359, 0.1223959967843257, -0.08399753928679274, -0.2707802165998146, 0.36989776213886216, 0.052691097669594456, 0.22620340129215039, 0.022657258165418172, 0.13521103311650223, 0.011662868480198086, -0.039873437033384106, 0.0272711027180776, -0.16777699119579664, 0.1233391601475887, 0.28831329076201656, 0.0771163336277823, 0.2664541428879602, -0.36345432640518993, -0.15846888918313198, 0.09301450432394631, 0.04620100965839811, 0.07327435465194868, -0.03457194434204212, -0.36387459771940484, 0.09828341745669604, -0.2542083281001396, -0.12094138258107705, -0.021636671852320433, 0.07739589773700573, -0.1015483713973481, -0.18584990362869575, -0.000272191857220605, 0.13076179744730326, 0.10787251244182698, -0.06522654919608613, -0.02102650480810553, -0.014808834170980844, 0.1064526848926107, -0.07405546938607585, 0.08853154472599271, 0.11850414773507509, -0.0476913730832166, -0.15419789470906836, 0.3542842405848205, -0.053150016468134706, -0.192994241300039, 0.12181943470786791, -0.14033900321810505, -0.18404578131521704, 0.0453608778771013, 0.05960965316480724, 0.12397279033029918, -0.11823704871248993, 0.1639501431476674, -0.0971140223206021, 0.0953588830307126, 0.08879199200309813, 0.021831590923829934, 0.09749643277900759, 0.08124128058771021, 0.07712301071151159, 0.13567464908628607, 0.040092087559969514, -0.059025467807077805, -0.313884439211688, -0.23209007308469154, -0.12723748050193534, 0.1676892718547606, -0.009351249356041081, -0.15756861544359707, 0.3469618048366101, 0.09700435927661602, 0.1578913285789895, 0.07850830788447638, 0.22176391534303547, 0.11774478796432959, 0.046269645102438514, 0.0682348590460606, 0.17876493822259362, 0.23736438649066258, 0.03742587890010327, -0.14557528585210094, -0.016534387138381134, 0.19404665221081813] |
710.5365 | Meson Resonances in the Open and Hidden Charm Sectors | We briefly expose our model for generating open and hidden charm resonances
and present the most interesting results.
| hep-ph | we briefly expose our model for generating open and hidden charm resonances and present the most interesting results | [['we', 'briefly', 'expose', 'our', 'model', 'for', 'generating', 'open', 'and', 'hidden', 'charm', 'resonances', 'and', 'present', 'the', 'most', 'interesting', 'results']] | [-0.057929038587543696, 0.15368894040067163, -0.04554945333964295, 0.18406111498673758, -0.09686353792332941, -0.16941246887048086, 0.08383334814829545, 0.3398362588551309, -0.20269828732772213, -0.28951191281278926, 0.11611187351971036, -0.3260715270621909, -0.20712045952677727, 0.20670428063668725, 0.03422087508564194, 0.07775006689674531, 0.10699302330613136, -0.03496914439731174, 0.047054344684713416, -0.23475713355259764, 0.36393445083457565, -0.01583335165762239, 0.1266941797091729, 0.21654620042277706, 0.0647712531240864, 0.006361041994144519, -0.082625362297727, -0.10923663436228202, -0.17066234479554826, 0.19784923441087207, 0.26226480346586967, 0.15744875605580294, 0.1337868138216436, -0.37727613436679047, -0.14221294803751838, -0.012049619367139207, 0.19730561692267656, 0.18308855308633712, -0.2100340081896219, -0.3354457662337356, 0.09039068015085326, -0.10423734872084525, -0.19980008532810542, -0.18652314030461842, -0.017569420134855643, -0.03538379280103578, -0.19515899237659243, 0.03040752239111397, 0.018924457021057606, 0.00663277299867736, -0.039171467205354325, -0.24416130074274, 0.056364243500865996, 0.10103232620490922, 0.1022661474158263, 0.019304650861562953, 0.09066543844528496, -0.18821721516239145, -0.19451078472452032, 0.35803093078235787, -0.03541521143375172, -0.17507986155235106, 0.22041995673336917, -0.08913881667993134, -0.23419436124256915, -0.03996670308212439, 0.21770876423559254, 0.07510494337313706, -0.16850223847561413, 0.052530757429647364, -0.12214717682864931, 0.16585245161291418, 0.02611770832704173, 0.12053917638129658, 0.2060345680349403, 0.24422975381215414, -0.09426601846805877, 0.1809667001814685, -0.0813856505167981, -0.11795845902007487, -0.41498405900266433, -0.1322861621156335, -0.03993025629056825, -0.007268202801545461, -0.040538490929369196, -0.12037640334003502, 0.48755203353034127, 0.2875604335632589, 0.27386361526118386, -0.0005163976198269261, 0.2552210483700037, 0.043015599386611335, 0.0030643196983469855, 0.1583287239385148, 0.19738201688354215, 0.14339680245353115, 0.06744490517303348, -0.21940518274075455, 0.024275396019220352, -0.03893665379534165] |
710.5366 | Logarithm of the scale factor as a generalised coordinate in a
lagrangian for dark matter and dark energy | A lagrangian for the $k-$ essence field is set up with canonical kinetic
terms and incorporating the scaling relation of [1]. There are two degrees of
freedom, {\it viz.},$q(t)= ln\enskip a(t)$ ($a(t)$ is the scale factor) and the
scalar field $\phi$, and an interaction term involving $\phi$ and $q(t)$.The
Euler-Lagrange equations are solved for $q$ and $\phi$. Using these solutions
quantities of cosmological interest are determined. The energy density $\rho$
has a constant component which we identify as dark energy and a component
behaving as $a^{-3}$ which we call dark matter. The pressure $p$ is {\it
negative} for time $t\to \infty$ and the sound velocity $c_{s}^{2}={\partial
p\over\partial\rho} << 1$. When dark energy dominates, the deceleration
parameter $Q\to -1$ while in the matter dominated era $Q\sim {1\over 2}$. The
equation of state parameter $w={p\over \rho}$ is shown to be consistent with
$w={p\over\rho}\sim -1$ for dark energy domination and during the matter
dominated era we have $w\sim 0$. Bounds for the parameters of the theory are
estimated from observational data.
Keywords: k-essence models, dark matter, dark energy
PACS No: 98.80.-k
| gr-qc astro-ph hep-th | a lagrangian for the k essence field is set up with canonical kinetic terms and incorporating the scaling relation of 1 there are two degrees of freedom it vizqt lnenskip at at is the scale factor and the scalar field phi and an interaction term involving phi and qtthe eulerlagrange equations are solved for q and phi using these solutions quantities of cosmological interest are determined the energy density rho has a constant component which we identify as dark energy and a component behaving as a3 which we call dark matter the pressure p is it negative for time tto infty and the sound velocity c_s2partial poverpartialrho 1 when dark energy dominates the deceleration parameter qto 1 while in the matter dominated era qsim 1over 2 the equation of state parameter wpover rho is shown to be consistent with wpoverrhosim 1 for dark energy domination and during the matter dominated era we have wsim 0 bounds for the parameters of the theory are estimated from observational data keywords kessence models dark matter dark energy pacs no 9880k | [['a', 'lagrangian', 'for', 'the', 'k', 'essence', 'field', 'is', 'set', 'up', 'with', 'canonical', 'kinetic', 'terms', 'and', 'incorporating', 'the', 'scaling', 'relation', 'of', '1', 'there', 'are', 'two', 'degrees', 'of', 'freedom', 'it', 'vizqt', 'lnenskip', 'at', 'at', 'is', 'the', 'scale', 'factor', 'and', 'the', 'scalar', 'field', 'phi', 'and', 'an', 'interaction', 'term', 'involving', 'phi', 'and', 'qtthe', 'eulerlagrange', 'equations', 'are', 'solved', 'for', 'q', 'and', 'phi', 'using', 'these', 'solutions', 'quantities', 'of', 'cosmological', 'interest', 'are', 'determined', 'the', 'energy', 'density', 'rho', 'has', 'a', 'constant', 'component', 'which', 'we', 'identify', 'as', 'dark', 'energy', 'and', 'a', 'component', 'behaving', 'as', 'a3', 'which', 'we', 'call', 'dark', 'matter', 'the', 'pressure', 'p', 'is', 'it', 'negative', 'for', 'time', 'tto', 'infty', 'and', 'the', 'sound', 'velocity', 'c_s2partial', 'poverpartialrho', '1', 'when', 'dark', 'energy', 'dominates', 'the', 'deceleration', 'parameter', 'qto', '1', 'while', 'in', 'the', 'matter', 'dominated', 'era', 'qsim', '1over', '2', 'the', 'equation', 'of', 'state', 'parameter', 'wpover', 'rho', 'is', 'shown', 'to', 'be', 'consistent', 'with', 'wpoverrhosim', '1', 'for', 'dark', 'energy', 'domination', 'and', 'during', 'the', 'matter', 'dominated', 'era', 'we', 'have', 'wsim', '0', 'bounds', 'for', 'the', 'parameters', 'of', 'the', 'theory', 'are', 'estimated', 'from', 'observational', 'data', 'keywords', 'kessence', 'models', 'dark', 'matter', 'dark', 'energy', 'pacs', 'no', '9880k']] | [-0.15472038028163823, 0.20497143298420936, -0.10514776475077285, 0.09688087909746937, -0.07238655212230584, -0.13625431393229087, -0.04546180694465961, 0.28538826777539134, -0.26901369730903374, -0.3507286879239527, 0.04001899812433913, -0.3133362923148116, -0.020439188160035298, 0.15045559027689626, 0.076650990189753, 0.01728925879730584, -0.02713167574807737, 0.09120303527700037, -0.010745678047412598, -0.19835234850027858, 0.3375222173549742, 0.021377074346221853, 0.16338871760857318, 0.04542091410033978, 0.1300857243294822, -0.06151799157333489, -0.005956523040496915, 0.0003174185331293641, -0.21990627832466203, -0.002853325672844458, 0.20863501126003556, 0.10654385662059018, 0.2284152736782631, -0.3669052348367473, -0.21569098703585257, 0.17443106881929726, 0.1357778212766455, 0.03511667656905112, -0.033085180234340344, -0.25392096107219453, 0.07997089072353462, -0.16370496345331242, -0.1288795002030771, -0.07204060329223526, 0.04924307588195792, 0.0002536727849135076, -0.2968626406936515, 0.16719726340834207, -0.013160693953805687, -0.022742779705034206, -0.09697213354961362, -0.18276498442482667, -0.028373869754561395, 0.015262970973127218, 0.10690764442896306, 0.08796279507099523, 0.15182530051496806, -0.24213412586467328, -0.009220429487421711, 0.394104942965966, -0.10892990082447257, -0.1598806218139086, 0.12475565061270749, -0.09959478989607219, -0.12462993122956897, 0.1450825829180123, 0.09775193796917443, 0.08448762886126983, -0.08373868068827925, 0.18269766055973324, 0.02419380736385731, 0.19101994808146058, 0.06910340111432652, 0.027652723099567966, 0.22472665655101545, 0.11787137356256107, 0.048935354460986916, 0.04499172277062492, -0.08420222474140882, -0.0980296808063499, -0.37536081791849885, -0.16455932420033675, -0.15984962645163153, 0.04703946419600287, -0.12317862942712877, -0.08820737098442176, 0.34152245218452265, 0.06268237391693418, 0.18956089598683298, 0.06063290232015476, 0.2843816902863203, 0.1674364873067064, 0.020224611730915467, 0.13069630402674864, 0.26734980984353984, 0.1440990309798594, 0.1118964207201601, -0.2056403382772238, -0.022905751751438223, 0.009542284515471412] |
710.5367 | Exact dynamics of dissipative electronic systems and quantum transport:
Hierarchical equations of motion approach | A quantum dissipation theory is formulated in terms of hierarchically coupled
equations of motion for an arbitrary electronic system coupled with grand
canonical Fermion bath ensembles. The theoretical construction starts with the
second--quantization influence functional in path integral formalism, in which
the Fermion creation and annihilation operators are represented by Grassmann
variables. Time--derivatives on influence functionals are then performed in a
hierarchical manner, on the basis of calculus--on--path--integral algorithm.
Both the multiple--frequency--dispersion and the non-Markovian reservoir
parametrization schemes are considered for the desired hierarchy construction.
The resulting formalism is in principle exact, applicable to interacting
systems, with arbitrary time-dependent external fields. It renders an exact
tool to evaluate various transient and stationary quantum transport properties
of many-electron systems. At the second--tier truncation level the present
theory recovers the real--time diagrammatic formalism developed by Sch\"{o}n
and coworkers. For a single-particle system, the hierarchical formalism
terminates at the second tier exactly, and the Landuer--B\"{u}ttiker's
transport current expression is readily recovered.
| cond-mat.mes-hall cond-mat.other | a quantum dissipation theory is formulated in terms of hierarchically coupled equations of motion for an arbitrary electronic system coupled with grand canonical fermion bath ensembles the theoretical construction starts with the secondquantization influence functional in path integral formalism in which the fermion creation and annihilation operators are represented by grassmann variables timederivatives on influence functionals are then performed in a hierarchical manner on the basis of calculusonpathintegral algorithm both the multiplefrequencydispersion and the nonmarkovian reservoir parametrization schemes are considered for the desired hierarchy construction the resulting formalism is in principle exact applicable to interacting systems with arbitrary timedependent external fields it renders an exact tool to evaluate various transient and stationary quantum transport properties of manyelectron systems at the secondtier truncation level the present theory recovers the realtime diagrammatic formalism developed by schon and coworkers for a singleparticle system the hierarchical formalism terminates at the second tier exactly and the landuerbuttikers transport current expression is readily recovered | [['a', 'quantum', 'dissipation', 'theory', 'is', 'formulated', 'in', 'terms', 'of', 'hierarchically', 'coupled', 'equations', 'of', 'motion', 'for', 'an', 'arbitrary', 'electronic', 'system', 'coupled', 'with', 'grand', 'canonical', 'fermion', 'bath', 'ensembles', 'the', 'theoretical', 'construction', 'starts', 'with', 'the', 'secondquantization', 'influence', 'functional', 'in', 'path', 'integral', 'formalism', 'in', 'which', 'the', 'fermion', 'creation', 'and', 'annihilation', 'operators', 'are', 'represented', 'by', 'grassmann', 'variables', 'timederivatives', 'on', 'influence', 'functionals', 'are', 'then', 'performed', 'in', 'a', 'hierarchical', 'manner', 'on', 'the', 'basis', 'of', 'calculusonpathintegral', 'algorithm', 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710.5368 | Ternary algebras and groups | We construct explicitly groups associated to specific ternary algebras which
extend the Lie (super)algebras (called Lie algebras of order three). It turns
out that the natural variables which appear in this construction are variables
which generate the three-exterior algebra. An explicit matrix representation of
a group associated to a peculiar Lie algebra of order three is constructed
considering matrices with entry which belong to the three exterior algebra.
| math-ph hep-th math.MP | we construct explicitly groups associated to specific ternary algebras which extend the lie superalgebras called lie algebras of order three it turns out that the natural variables which appear in this construction are variables which generate the threeexterior algebra an explicit matrix representation of a group associated to a peculiar lie algebra of order three is constructed considering matrices with entry which belong to the three exterior algebra | [['we', 'construct', 'explicitly', 'groups', 'associated', 'to', 'specific', 'ternary', 'algebras', 'which', 'extend', 'the', 'lie', 'superalgebras', 'called', 'lie', 'algebras', 'of', 'order', 'three', 'it', 'turns', 'out', 'that', 'the', 'natural', 'variables', 'which', 'appear', 'in', 'this', 'construction', 'are', 'variables', 'which', 'generate', 'the', 'threeexterior', 'algebra', 'an', 'explicit', 'matrix', 'representation', 'of', 'a', 'group', 'associated', 'to', 'a', 'peculiar', 'lie', 'algebra', 'of', 'order', 'three', 'is', 'constructed', 'considering', 'matrices', 'with', 'entry', 'which', 'belong', 'to', 'the', 'three', 'exterior', 'algebra']] | [-0.16870745491069644, 0.07412177045788762, -0.07010498766634446, 0.05248002737148929, -0.19506229504720488, -0.13351417984813452, -0.04861416092225865, 0.3478989364829526, -0.3581570954854364, -0.24067738853089177, 0.16910188400304751, -0.2169797210676123, -0.18162454179585424, 0.12864290523940503, -0.08145845403422171, -0.1093849854043393, 0.015417650189083903, 0.1673810586416677, -0.16840012636688997, -0.2727756849698611, 0.42110444658171775, -0.01906647240576237, 0.20951086238249025, -0.11420322885848026, 0.1635622219391056, -0.04316976329193575, -0.037514307272078384, -0.02754995769668204, -0.09414439133089123, 0.12996655077249533, 0.33206686327484114, 0.029655678531349594, 0.1920973907099731, -0.3364237528294325, -0.09729586542651766, 0.1833312251577293, 0.17236917719606365, 0.029812700205496444, -0.026318937262047582, -0.25157109622968665, 0.057628743739715264, -0.24920113034435173, -0.11976753554737835, -0.08902406877726872, 0.05493049818410802, -0.04823885191624651, -0.27140888935928026, 0.02018350729746605, 0.06951763011070329, 0.06445843927603938, -0.09889850079485063, -0.13313365074347205, -0.07643979060838917, 0.10512067923850532, -0.07387435410185647, -0.00011804982074605885, 0.12396298860436056, -0.02059528795887591, -0.16570101086303954, 0.3791175894161214, 0.08406234119407166, -0.2603723903172719, 0.1474026643163733, -0.18138017979408824, -0.23365412391861207, 0.12383774551215457, 0.10307925108319788, 0.10917372954314325, -0.1381085099958217, 0.12515358009667538, -0.11544085541434253, 0.03579466842782142, 0.08344326213474816, -0.012779895945994267, 0.1687268204987049, 0.07001218861385958, 0.006620529441357549, 0.13128242206606847, 0.06850954383410124, -0.08821732133849343, -0.373801532409974, -0.16633166735965774, -0.09845602390036653, 0.08627427503841915, -0.1067129550084694, -0.19966251317258757, 0.438114398006183, 0.17579686090913985, 0.1936280715154178, 0.07041778230567032, 0.12550982033639257, 0.125850641377159, 0.22322634353872334, 0.05026725070106227, 0.10224588340454137, 0.27043986820907734, -0.02994321169915484, -0.13151266006839726, -0.07918391641969584, 0.183713167308093] |
710.5369 | Study of J\psi decaying into \omega p \bar p | The decay $J/\psi \to \omega p \bar p$ is studied using a $5.8 \times 10^7$
$J/\psi$ event sample accumulated with the BES II detector at the Beijing
electron-positron collider. The decay branching fraction is measured to be
$B(J/\psi \to \omega p \bar p)=(9.8\pm 0.3\pm 1.4)\times 10^{-4}$. No
significant enhancement near the $p\bar p$ mass threshold is observed, and an
upper limit of $B(J/\psi \to \omega X(1860))B(X(1860)\to p\bar p)$$ $$< 1.5
\times 10^{-5}$ is determined at the 95% confidence level, where X(1860)
designates the near-threshold enhancement seen in the $p\bar p$ mass spectrum
in $J/\psi \to \gamma p \bar p$ decays.
| hep-ex | the decay jpsi to omega p bar p is studied using a 58 times 107 jpsi event sample accumulated with the bes ii detector at the beijing electronpositron collider the decay branching fraction is measured to be bjpsi to omega p bar p98pm 03pm 14times 104 no significant enhancement near the pbar p mass threshold is observed and an upper limit of bjpsi to omega x1860bx1860to pbar p 15 times 105 is determined at the 95 confidence level where x1860 designates the nearthreshold enhancement seen in the pbar p mass spectrum in jpsi to gamma p bar p decays | [['the', 'decay', 'jpsi', 'to', 'omega', 'p', 'bar', 'p', 'is', 'studied', 'using', 'a', '58', 'times', '107', 'jpsi', 'event', 'sample', 'accumulated', 'with', 'the', 'bes', 'ii', 'detector', 'at', 'the', 'beijing', 'electronpositron', 'collider', 'the', 'decay', 'branching', 'fraction', 'is', 'measured', 'to', 'be', 'bjpsi', 'to', 'omega', 'p', 'bar', 'p98pm', '03pm', '14times', '104', 'no', 'significant', 'enhancement', 'near', 'the', 'pbar', 'p', 'mass', 'threshold', 'is', 'observed', 'and', 'an', 'upper', 'limit', 'of', 'bjpsi', 'to', 'omega', 'x1860bx1860to', 'pbar', 'p', '15', 'times', '105', 'is', 'determined', 'at', 'the', '95', 'confidence', 'level', 'where', 'x1860', 'designates', 'the', 'nearthreshold', 'enhancement', 'seen', 'in', 'the', 'pbar', 'p', 'mass', 'spectrum', 'in', 'jpsi', 'to', 'gamma', 'p', 'bar', 'p', 'decays']] | [-0.12971932683831255, 0.2175676665563818, -0.07994370277932224, 0.10322766141325701, 0.02025462634143575, -0.1179288973750469, 0.11106545536434471, 0.2395294035183421, -0.1621270975059209, -0.2784680434851907, -0.10805936323352701, -0.4257167207542807, 0.1450686205838186, 0.13191473185118716, 0.07999591751164796, 0.1304778221917028, 0.06939576827426208, 0.08587331991778531, -0.005368311559626211, -0.18688335842064893, 0.1391385287618808, 0.04168266311413996, 0.19398543779486013, 0.10001090159251665, -0.05033068707174001, -0.029989349568495527, 0.025301262668411557, -0.1238837619506133, -0.2380891288970209, -0.05443352810349703, 0.3137481898787276, 0.12242253077177641, 0.1299695890241613, -0.27371119837782015, 0.01432811838700824, 0.2208392058382742, 0.18250863955472596, -0.08186006180433954, 0.023469755940216903, -0.3512772665611313, 0.23912199852444851, -0.18219822443885883, -0.09484529576729983, 0.08838434076460544, 0.21970396855613217, -0.1486726601239449, -0.3977097781510868, 0.10144851737034817, -0.03529534900250534, 0.07727716682438768, -0.004501439291440572, -0.2716855926507075, -0.04269120505584093, -0.11323335175499476, 0.059022720427795626, 0.23866757487273085, 0.2622023747147371, -0.051838100635601826, -0.12364222032677692, 0.3799770641489886, -0.08439392587752081, -0.08108972712064617, 0.1130629643012071, -0.34974519920069724, -0.10062243857828435, 0.31199534380963695, 0.2589037672102374, 0.03841263767390046, -0.11672580865464018, 0.16512809850428312, -0.003492125436120356, 0.20210985206843665, 0.17591297385903695, 0.026591038267118467, 0.09072798238018247, 0.19590317517213407, -0.021640888201848913, -0.010745802906361254, -0.1867291483989296, 0.0569456991070183, -0.4063835591635628, -0.060290954454103485, -0.040549248795286985, 0.16416989683178448, -0.018589995602421066, 0.01726316825079266, 0.24135669225749248, -0.040620423009386286, 0.38160054389057524, -0.004006056192641457, 0.24258815902430797, 0.19234712071556714, 0.004529795118590603, 0.12598491935735487, 0.27488218709186185, 0.1881725195950518, 0.09932647481400636, -0.3081464134932806, 0.05128534182343477, -0.050992022860251986] |
710.537 | Statistics of conductance and shot-noise power for chaotic cavities | We report on an analytical study of the statistics of conductance, $g$, and
shot-noise power, $p$, for a chaotic cavity with arbitrary numbers $N_{1,2}$ of
channels in two leads and symmetry parameter $\beta = 1,2,4$. With the theory
of Selberg's integral the first four cumulants of $g$ and first two cumulants
of $p$ are calculated explicitly. We give analytical expressions for the
conductance and shot-noise distributions and determine their exact asymptotics
near the edges up to linear order in distances from the edges. For $0<g<1$ a
power law for the conductance distribution is exact. All results are also
consistent with numerical simulations.
| cond-mat.mes-hall | we report on an analytical study of the statistics of conductance g and shotnoise power p for a chaotic cavity with arbitrary numbers n_12 of channels in two leads and symmetry parameter beta 124 with the theory of selbergs integral the first four cumulants of g and first two cumulants of p are calculated explicitly we give analytical expressions for the conductance and shotnoise distributions and determine their exact asymptotics near the edges up to linear order in distances from the edges for 0g1 a power law for the conductance distribution is exact all results are also consistent with numerical simulations | [['we', 'report', 'on', 'an', 'analytical', 'study', 'of', 'the', 'statistics', 'of', 'conductance', 'g', 'and', 'shotnoise', 'power', 'p', 'for', 'a', 'chaotic', 'cavity', 'with', 'arbitrary', 'numbers', 'n_12', 'of', 'channels', 'in', 'two', 'leads', 'and', 'symmetry', 'parameter', 'beta', '124', 'with', 'the', 'theory', 'of', 'selbergs', 'integral', 'the', 'first', 'four', 'cumulants', 'of', 'g', 'and', 'first', 'two', 'cumulants', 'of', 'p', 'are', 'calculated', 'explicitly', 'we', 'give', 'analytical', 'expressions', 'for', 'the', 'conductance', 'and', 'shotnoise', 'distributions', 'and', 'determine', 'their', 'exact', 'asymptotics', 'near', 'the', 'edges', 'up', 'to', 'linear', 'order', 'in', 'distances', 'from', 'the', 'edges', 'for', '0g1', 'a', 'power', 'law', 'for', 'the', 'conductance', 'distribution', 'is', 'exact', 'all', 'results', 'are', 'also', 'consistent', 'with', 'numerical', 'simulations']] | [-0.17981450901832433, 0.13131994807292358, -0.10089425117708743, 0.03194032344617881, -0.004177240110002458, -0.12089279768057168, 0.051027678550453856, 0.3378700371459126, -0.21156507853418588, -0.31618296522647144, 0.03739553706487641, -0.3311154283583164, -0.11588756753597408, 0.21609155278652906, 0.02751396301202476, 0.08700960346031934, 0.010331883882172406, 0.07058390319347381, -0.057843993371352556, -0.19627657013013958, 0.2812935857987031, 0.022219580659875646, 0.23603317815810443, 0.05646362763363868, 0.059625670593231914, -0.02657342981430702, -0.034641905650496484, 0.015118791606510059, -0.2075198360811919, 0.08843500651302748, 0.24134929723106324, -0.013781250109896065, 0.19020922967698425, -0.40913013035431506, -0.11926294064614922, 0.0814913944574073, 0.13322403057012708, 0.09503253799921367, -0.008040309908101334, -0.22091519156470896, 0.10035574613139034, -0.1677861495036632, -0.14035702201072126, -0.09005746237933636, 0.06306590779218822, 0.0727712437394075, -0.3185266378335655, 0.1444751172393444, 0.03822884279070422, 0.05824700657278299, -0.02564160095062107, -0.15767882430925964, 0.005922124274075031, 0.12937018165946937, 0.012963777666445821, -0.0622430064692162, 0.07360844405018724, -0.1416218894906342, -0.13117327891348396, 0.3313496665842831, -0.05705578663968481, -0.16803218551445753, 0.08737940037623047, -0.23420203826390207, -0.10916326193371788, 0.15220880811102688, 0.13117267183493822, 0.1245990151787555, -0.11949295709840953, 0.10213202070153785, -0.02144912099465728, 0.11213638510322198, 0.08284273152239621, 0.02095825776923448, 0.18137128775488237, 0.06622858855407684, 0.06430599633604288, 0.1474379940261133, -0.11257755285827444, -0.07919914703350514, -0.36741630190983415, -0.1240842569596134, -0.189341468551429, 0.07366162692196668, -0.14080004103874671, -0.15569219509139656, 0.4029263206385076, 0.14192810502136127, 0.21904136270284652, 0.1504150901688263, 0.2790266529098153, 0.19015197783708573, -0.01346784109948203, 0.057567559401504695, 0.18161445001140236, 0.21141279881820083, 0.017757767452858387, -0.25040629650233315, 0.004055417012423277, 0.061015685852617026] |
710.5371 | Remarks on left-handed lattice fermions | We study whether applying lattice projectors on a vector-like Ginsparg-Wilson
Dirac operator is the only way to construct left-handed lattice fermions. Using
RG transformations we derive an equation for the generating functional on the
lattice, obtained by blocking from the continuum. We analyze how symmetries of
the continuum theory manifest themselves in this lattice generating functional
and how anomalies emerge. The formalism is applied to left-handed continuum
fermions and we derive two equations that characterize the corresponding
lattice symmetries. To analyze possible solutions, we directly block a
parameterized action for free continuum fermions to obtain the corresponding
lattice action. Subsequently we study parameter values where the continuum
action corresponds to left-handed fermions.
| hep-lat | we study whether applying lattice projectors on a vectorlike ginspargwilson dirac operator is the only way to construct lefthanded lattice fermions using rg transformations we derive an equation for the generating functional on the lattice obtained by blocking from the continuum we analyze how symmetries of the continuum theory manifest themselves in this lattice generating functional and how anomalies emerge the formalism is applied to lefthanded continuum fermions and we derive two equations that characterize the corresponding lattice symmetries to analyze possible solutions we directly block a parameterized action for free continuum fermions to obtain the corresponding lattice action subsequently we study parameter values where the continuum action corresponds to lefthanded fermions | [['we', 'study', 'whether', 'applying', 'lattice', 'projectors', 'on', 'a', 'vectorlike', 'ginspargwilson', 'dirac', 'operator', 'is', 'the', 'only', 'way', 'to', 'construct', 'lefthanded', 'lattice', 'fermions', 'using', 'rg', 'transformations', 'we', 'derive', 'an', 'equation', 'for', 'the', 'generating', 'functional', 'on', 'the', 'lattice', 'obtained', 'by', 'blocking', 'from', 'the', 'continuum', 'we', 'analyze', 'how', 'symmetries', 'of', 'the', 'continuum', 'theory', 'manifest', 'themselves', 'in', 'this', 'lattice', 'generating', 'functional', 'and', 'how', 'anomalies', 'emerge', 'the', 'formalism', 'is', 'applied', 'to', 'lefthanded', 'continuum', 'fermions', 'and', 'we', 'derive', 'two', 'equations', 'that', 'characterize', 'the', 'corresponding', 'lattice', 'symmetries', 'to', 'analyze', 'possible', 'solutions', 'we', 'directly', 'block', 'a', 'parameterized', 'action', 'for', 'free', 'continuum', 'fermions', 'to', 'obtain', 'the', 'corresponding', 'lattice', 'action', 'subsequently', 'we', 'study', 'parameter', 'values', 'where', 'the', 'continuum', 'action', 'corresponds', 'to', 'lefthanded', 'fermions']] | [-0.11765201850045871, 0.20077587947175093, -0.08921458098588378, 0.10618219965025284, -0.11933404291838608, -0.12864756731349708, 0.09918839441525051, 0.38644967559126336, -0.25960534541185815, -0.23156546117804414, 0.06731473523437412, -0.2909415230221514, -0.17142424722883984, 0.0651600191527645, 0.018826298353295506, 0.03411039958999546, 0.002627505772189969, 0.007847305636719934, -0.11279789461332257, -0.20949360757367685, 0.3200874370314913, -0.03777325209479646, 0.26991047316862804, 0.03262157023709733, 0.09516742254241503, 0.02531509358959738, -0.00950411510919886, -0.019408543660704578, -0.1488605121582103, 0.12491372867953032, 0.16296630127180833, 0.0018304020060375997, 0.10594190553612341, -0.43886415121544686, -0.18809735131383473, 0.06677470555795091, 0.1266226211654222, 0.1555618577736563, 0.0050587475062846875, -0.2885868146383603, 0.057425512645360346, -0.14546070825391716, -0.19865231583909398, -0.1354198511773055, -0.04196518066705072, -0.08690779535702729, -0.2791417559825017, 0.04836816363136417, -0.014355880794547764, 0.04761998808576858, -0.0670732996825661, -0.09899815801431291, -0.061214923401296674, 0.10919147986818903, 0.07175783839816827, -0.004011130995682574, 0.0940210678132384, -0.1419107571980151, -0.13700702364855846, 0.4647078663588867, -0.11472008292496737, -0.2615960202258845, 0.16746655963444418, -0.11418397992799457, -0.13870131329583404, 0.07556477638094553, 0.1562068666722293, 0.08862177133726488, -0.20990328134004294, 0.15906341309788072, -0.12592731918526365, 0.14557756430336408, 0.06914524995954707, 0.02679323885240592, 0.20550561459302635, 0.0773779074120934, 0.05842162756848016, 0.16617912734675752, -0.021903280937944407, -0.12596089968584628, -0.3483516262910728, -0.11694070563346161, -0.17013600654068536, 0.10802745802461036, -0.05602775106646212, -0.16437260411787843, 0.4111568731968873, 0.19527212041222292, 0.18212062553253158, 0.04995005194047865, 0.1646298757987097, 0.1939345772843808, 0.08399591007868626, 0.04041894258937516, 0.1844868563015812, 0.1670088702043618, 0.02003643647601296, -0.28469384980313145, -0.14812582478043623, 0.19705492740363947] |
710.5372 | Giant Gravitons - with Strings Attached (III) | We develop techniques to compute the one-loop anomalous dimensions of
operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open
strings ending on boundstates of sphere giant gravitons. Our results, which are
applicable to excitations involving an arbitrary number of open strings,
generalize the single string results of hep-th/0701067. The open strings we
consider carry angular momentum on an S$^3$ embedded in the S$^5$ of the
AdS$_5\times$S$^5$ background. The problem of computing the one loop anomalous
dimensions is replaced with the problem of diagonalizing an interacting Cuntz
oscillator Hamiltonian. Our Cuntz oscillator dynamics illustrates how the
Chan-Paton factors for open strings propagating on multiple branes can arise
dynamically.
| hep-th | we develop techniques to compute the oneloop anomalous dimensions of operators in the cal n4 super yangmills theory that are dual to open strings ending on boundstates of sphere giant gravitons our results which are applicable to excitations involving an arbitrary number of open strings generalize the single string results of hepth0701067 the open strings we consider carry angular momentum on an s3 embedded in the s5 of the ads_5timess5 background the problem of computing the one loop anomalous dimensions is replaced with the problem of diagonalizing an interacting cuntz oscillator hamiltonian our cuntz oscillator dynamics illustrates how the chanpaton factors for open strings propagating on multiple branes can arise dynamically | [['we', 'develop', 'techniques', 'to', 'compute', 'the', 'oneloop', 'anomalous', 'dimensions', 'of', 'operators', 'in', 'the', 'cal', 'n4', 'super', 'yangmills', 'theory', 'that', 'are', 'dual', 'to', 'open', 'strings', 'ending', 'on', 'boundstates', 'of', 'sphere', 'giant', 'gravitons', 'our', 'results', 'which', 'are', 'applicable', 'to', 'excitations', 'involving', 'an', 'arbitrary', 'number', 'of', 'open', 'strings', 'generalize', 'the', 'single', 'string', 'results', 'of', 'hepth0701067', 'the', 'open', 'strings', 'we', 'consider', 'carry', 'angular', 'momentum', 'on', 'an', 's3', 'embedded', 'in', 'the', 's5', 'of', 'the', 'ads_5timess5', 'background', 'the', 'problem', 'of', 'computing', 'the', 'one', 'loop', 'anomalous', 'dimensions', 'is', 'replaced', 'with', 'the', 'problem', 'of', 'diagonalizing', 'an', 'interacting', 'cuntz', 'oscillator', 'hamiltonian', 'our', 'cuntz', 'oscillator', 'dynamics', 'illustrates', 'how', 'the', 'chanpaton', 'factors', 'for', 'open', 'strings', 'propagating', 'on', 'multiple', 'branes', 'can', 'arise', 'dynamically']] | [-0.19222706857941707, 0.22502702212064338, -0.03638130873441696, 0.09743044153385033, -0.04845189208334143, -0.13236265742558648, -0.008927660527512092, 0.3084904896434058, -0.19925609669563446, -0.2434397221458229, 0.08385258342605084, -0.31778236986561254, -0.12643750912763857, 0.15876301897859033, -0.062220144779844715, 0.022163564059883355, 0.057130910020152276, 0.07342404194853523, -0.052634147306988864, -0.28358805744527754, 0.3591415202499113, 0.0037347144891761923, 0.22872107205065814, 0.03658459759952331, 0.08508201670748267, 0.016174480359239334, -0.004540298769081181, -0.027237545360218395, -0.09432134297074464, 0.16324335680745372, 0.22587105502713134, 0.08061798127283427, 0.08922826538751409, -0.5025545166466724, -0.1837905730882829, 0.05846102408726107, 0.23184480786281214, 0.13991611362329093, 0.016802018026778984, -0.2814814727880399, 0.015948071341368962, -0.14825182536786252, -0.20311056114098228, -0.0819323686554774, 0.03961222240574319, -0.0895613525189798, -0.19942747384563766, 0.02275832869027826, 0.030716542671011253, -0.0045355119319124655, -0.05278396388431164, -0.06873859783465212, -0.018500145588239484, 0.13499711100435394, 0.06133539719951593, 0.08046004199846224, 0.14798219785178926, -0.15534071885049344, -0.2156655750872398, 0.33370952379297125, -0.05754868735516952, -0.27486398214982316, 0.16530514094470578, -0.12033340548673137, -0.18794068750840695, 0.10495237520980565, 0.1344949105669829, 0.15448776731817898, -0.12391190314665437, 0.23413666171995415, -0.04936392958360639, 0.13137967290610753, 0.11853246750648726, 0.06909528438171203, 0.25219703518192876, 0.12062693449075926, 0.013224243601276116, 0.2144070594715727, -0.004260482298294929, -0.13566505645655774, -0.3510040509392804, -0.10848232729159381, -0.12387431372719054, 0.1178299646909264, -0.11944071804173291, -0.22419625695117495, 0.3392851506063545, 0.10709306275980039, 0.18553644839504904, 0.029294768844291948, 0.2062520685224709, 0.1330958644965325, 0.04331902558491989, 0.09149722723628986, 0.19277121385411275, 0.1761350929080932, 0.0397689905652607, -0.28591135606825857, -0.19232800018904858, 0.182126594605771] |
710.5373 | The Unruh effect and its applications | It has been thirty years since the discovery of the Unruh effect. It has
played a crucial role in our understanding that the particle content of a field
theory is observer dependent. This effect is important in its own right and as
a way to understand the phenomenon of particle emission from black holes and
cosmological horizons. Here, we review the Unruh effect with particular
emphasis to its applications. We also comment on a number of recent
developments and discuss some controversies. Effort is also made to clarify
what seems to be common misconceptions.
| gr-qc hep-th | it has been thirty years since the discovery of the unruh effect it has played a crucial role in our understanding that the particle content of a field theory is observer dependent this effect is important in its own right and as a way to understand the phenomenon of particle emission from black holes and cosmological horizons here we review the unruh effect with particular emphasis to its applications we also comment on a number of recent developments and discuss some controversies effort is also made to clarify what seems to be common misconceptions | [['it', 'has', 'been', 'thirty', 'years', 'since', 'the', 'discovery', 'of', 'the', 'unruh', 'effect', 'it', 'has', 'played', 'a', 'crucial', 'role', 'in', 'our', 'understanding', 'that', 'the', 'particle', 'content', 'of', 'a', 'field', 'theory', 'is', 'observer', 'dependent', 'this', 'effect', 'is', 'important', 'in', 'its', 'own', 'right', 'and', 'as', 'a', 'way', 'to', 'understand', 'the', 'phenomenon', 'of', 'particle', 'emission', 'from', 'black', 'holes', 'and', 'cosmological', 'horizons', 'here', 'we', 'review', 'the', 'unruh', 'effect', 'with', 'particular', 'emphasis', 'to', 'its', 'applications', 'we', 'also', 'comment', 'on', 'a', 'number', 'of', 'recent', 'developments', 'and', 'discuss', 'some', 'controversies', 'effort', 'is', 'also', 'made', 'to', 'clarify', 'what', 'seems', 'to', 'be', 'common', 'misconceptions']] | [-0.08241114374052019, 0.11955874238876586, -0.15102160030956122, 0.0906311260224221, -0.16941927103920185, -0.10482742797900388, 0.01493982694661641, 0.37867603740318023, -0.20068110729706415, -0.3134749132267972, 0.14602776410979557, -0.2972675769025103, -0.1816908482293737, 0.18802997745088043, -0.10032690034564981, 0.01003488355212191, 0.01206908461221672, 0.06502193777247313, -0.03893219363786518, -0.28313603464196974, 0.3291301696779246, 0.16964712573934912, 0.252642685705994, 0.12827411112672787, 0.091455498447721, -0.027737221299135622, -0.0675455245308261, 0.03959407243738942, -0.14020563863464594, 0.07374706258997321, 0.21721610717197998, 0.1392913290145906, 0.3377357445102423, -0.42791556727458185, -0.24126014944681146, 0.09408411133955134, 0.14167965446261965, 0.15725910533318652, -0.12803070180420267, -0.26180654195474184, 0.02255552864083624, -0.18159298807818522, -0.1586461883939882, -0.016028353688059414, 0.12765901038012012, -0.08041494677308947, -0.1371657501743918, 0.013131801632822472, 0.08502875231677032, 0.018293144399339847, -0.018828605011878337, -0.09282552980956563, 0.04881710823912649, 0.14283059397650427, 0.1748367046882854, 0.05038622521270225, 0.1584186884227823, -0.14054235203211454, -0.13235933688330523, 0.40582240881160536, -0.013605669613907788, -0.1553828269644192, 0.19183300163081668, -0.19434714111241888, -0.1499376638861809, 0.04108916716451975, 0.13018318385064126, 0.11497160562492431, -0.1313705671023815, 0.10286322810521172, -0.030735306530953087, 0.12460139537963302, 0.04237532478935541, 0.12489266559342913, 0.31550368549738156, 0.19184058613114138, -0.005745444630094348, 0.11892088362327875, -0.05195542265155769, -0.10138027688012795, -0.2832315026564484, -0.19157445226657263, -0.1355107867114365, 0.080002135129186, -0.009096295289983824, -0.12656294840804122, 0.37247868009070134, 0.23630315199137686, 0.18177418513322605, -0.08737997598252556, 0.2670559436598736, 0.06521270313161484, 0.030423994150082085, 0.015923269008821312, 0.3060547616100558, 0.16811516691752254, 0.13359803314063143, -0.23402364218379668, 0.07561998842209776, 0.004347958114057621] |
710.5374 | The HST contribution to neutron star astronomy | While isolated neutron stars (INSs) are among the brightest gamma-ray
sources, they are among the faintest ones in the optical, and their study is a
challenging task which require the most powerful telescopes. HST has lead
neutron star optical astronomy yielding nearly all the identifications achieved
since the early 1990s. Here, the major HST contributions in the optical studies
of INSs and their relevance for neutron stars' astronomy are reviewed.
| astro-ph | while isolated neutron stars inss are among the brightest gammaray sources they are among the faintest ones in the optical and their study is a challenging task which require the most powerful telescopes hst has lead neutron star optical astronomy yielding nearly all the identifications achieved since the early 1990s here the major hst contributions in the optical studies of inss and their relevance for neutron stars astronomy are reviewed | [['while', 'isolated', 'neutron', 'stars', 'inss', 'are', 'among', 'the', 'brightest', 'gammaray', 'sources', 'they', 'are', 'among', 'the', 'faintest', 'ones', 'in', 'the', 'optical', 'and', 'their', 'study', 'is', 'a', 'challenging', 'task', 'which', 'require', 'the', 'most', 'powerful', 'telescopes', 'hst', 'has', 'lead', 'neutron', 'star', 'optical', 'astronomy', 'yielding', 'nearly', 'all', 'the', 'identifications', 'achieved', 'since', 'the', 'early', '1990s', 'here', 'the', 'major', 'hst', 'contributions', 'in', 'the', 'optical', 'studies', 'of', 'inss', 'and', 'their', 'relevance', 'for', 'neutron', 'stars', 'astronomy', 'are', 'reviewed']] | [-0.0534816130263997, 0.14771122510678003, -0.04150129899914776, 0.12646577108950754, -0.16725141668825277, -0.0838423375439431, 0.03677886118447142, 0.45531438243176253, -0.10605664670500638, -0.35911178799079996, 0.10296003462946308, -0.37438906668020144, -0.03832395696746452, 0.3025824797073645, -0.019515389942431023, -0.004965030233974436, 0.16257445721754005, -0.03271280298275607, -0.031042089068796484, -0.31254385171424864, 0.2793752230337954, 0.0708956064922469, 0.20481493612751364, -0.05150594575596707, 0.040129616084907734, -0.06757296099593597, -0.15952238268884164, -0.09572914083089147, -0.06228281749645248, 0.07830330661631056, 0.3640763112476894, 0.14814583867389178, 0.20282594793077027, -0.39177946115710904, -0.2106790442784716, 0.14027384403161705, 0.1702486758319927, 0.045516727653531625, -0.054672907585544245, -0.27377672086336785, 0.01669589968265167, -0.144019274792767, -0.14597303800817046, -0.010677348276866333, 0.0433763391737427, 0.06764054942593378, -0.08021978097967804, 0.06250761290679553, 0.013518535738278712, 0.06339068877776818, -0.14951596929292593, -0.13317692718867744, 0.0018636401476604598, 0.13304191400030893, 0.030330952248602574, 0.07252762146028024, 0.057578130821431324, -0.24032161682178932, -0.09422877009159752, 0.4393192110317094, 0.05132280111845051, 0.036073576736712964, 0.23910831517672965, -0.22158112285126533, -0.23130068223524305, 0.12118553748337685, 0.10940529826984857, 0.1904511871286169, -0.21375717036426067, 0.005512891149347914, 0.027814226151843157, 0.13645710528695157, 0.07566803367143231, 0.1694431978144816, 0.3834991211603795, 0.16429935233401402, -0.018116175010800362, 0.07465918041499597, -0.26169228199869393, -0.0068369828031531405, -0.19342680324002037, -0.05848667827168746, -0.12644999851971597, 0.07377594120002219, -0.06735820221407006, -0.10835853093054279, 0.3333960006279605, 0.06902885266712734, 0.08724551307303564, -0.04118313520448282, 0.31846257426909036, 0.040763777547648976, 0.1433548765190478, 0.09276249039768507, 0.4262191382635917, 0.17597560826689004, 0.12632025078138603, -0.20501140882261099, 0.08113685770159854, -0.024871594911175115] |
710.5375 | Superbosonization | We give a constructive proof for the superbosonization formula for invariant
random matrix ensembles, which is the supersymmetry analog of the theory of
Wishart matrices. Formulas are given for unitary, orthogonal and symplectic
symmetry, but worked out explicitly only for the orthogonal case. The method
promises to become a powerful tool for investigating the universality of
spectral correlation functions for a broad class of random matrix ensembles of
non-Gaussian type.
| cond-mat.stat-mech | we give a constructive proof for the superbosonization formula for invariant random matrix ensembles which is the supersymmetry analog of the theory of wishart matrices formulas are given for unitary orthogonal and symplectic symmetry but worked out explicitly only for the orthogonal case the method promises to become a powerful tool for investigating the universality of spectral correlation functions for a broad class of random matrix ensembles of nongaussian type | [['we', 'give', 'a', 'constructive', 'proof', 'for', 'the', 'superbosonization', 'formula', 'for', 'invariant', 'random', 'matrix', 'ensembles', 'which', 'is', 'the', 'supersymmetry', 'analog', 'of', 'the', 'theory', 'of', 'wishart', 'matrices', 'formulas', 'are', 'given', 'for', 'unitary', 'orthogonal', 'and', 'symplectic', 'symmetry', 'but', 'worked', 'out', 'explicitly', 'only', 'for', 'the', 'orthogonal', 'case', 'the', 'method', 'promises', 'to', 'become', 'a', 'powerful', 'tool', 'for', 'investigating', 'the', 'universality', 'of', 'spectral', 'correlation', 'functions', 'for', 'a', 'broad', 'class', 'of', 'random', 'matrix', 'ensembles', 'of', 'nongaussian', 'type']] | [-0.09804218236157404, 0.11807360826060176, -0.11512482758511657, 0.13726672415255703, -0.04275082903248923, -0.21466332174438452, 0.013343977687015597, 0.34030197664230527, -0.20876404882541724, -0.19640785310018274, 0.08982855115152363, -0.2074963877443224, -0.19906369371871863, 0.20097084657422135, 0.0018745706094445529, 0.11601556091170226, 0.02900565451875861, 0.010117500661207098, -0.1582740326012884, -0.1994881192754422, 0.34315231719852557, 0.04154488293321005, 0.28801996799718055, 0.019908646979768362, 0.12703643651413066, 0.06095400557886543, -0.06553207942550736, -0.05870244195684791, -0.03952456513652578, 0.12814350070797706, 0.28155358286707527, 0.12873720590557372, 0.19998683554253407, -0.34277828338422944, -0.17745591853745282, 0.17612482083163092, 0.13578927461057902, 0.1341434342836562, -0.04275394192497645, -0.2847720796475187, 0.09321807836448508, -0.1720942341589502, -0.20750104180936302, -0.13431436933710106, 0.027967052328001174, -0.028619348819899772, -0.344445997875716, 0.053513749023633345, 0.12435100091222141, 0.08468319335952401, 0.0444244758325762, -0.15646737412150416, 0.08236236355400511, 0.09272978468132871, -0.016062038341936258, -0.05287966375638332, 0.09254688286787964, -0.07942015612497925, -0.09216114734964712, 0.3699890246215676, -0.020319945449175845, -0.2490476303334747, 0.11673448909672775, -0.11983999258040318, -0.22503362254771803, 0.10656445508024522, 0.1412430581636727, 0.1211410408174353, -0.1412120389619044, 0.13975134210444853, -0.08206764733684914, 0.08381312158806915, 0.04684613973035344, 0.056842144445649216, 0.17713274354713837, 0.036162589926139584, 0.09909034669399261, 0.15886823612132242, 0.007328844962674858, -0.15998959009136474, -0.32023645165775505, -0.16590374423457044, -0.23243774357584437, 0.12177082361387355, -0.15456335308408597, -0.2357547878686871, 0.4463074036474739, 0.06241690132966531, 0.1473505959180849, 0.13940798370999152, 0.19969110711078558, 0.1490521073873554, 0.056894389759483084, 0.00721948108901935, 0.13845409471541642, 0.27769044901111295, 0.05148188890224056, -0.14426287706010044, -0.006820867124146649, 0.17177728320072805] |
710.5376 | Broadcasting Correlated Gaussians | We consider the transmission of a memoryless bivariate Gaussian source over
an average-power-constrained one-to-two Gaussian broadcast channel. The
transmitter observes the source and describes it to the two receivers by means
of an average-power-constrained signal. Each receiver observes the transmitted
signal corrupted by a different additive white Gaussian noise and wishes to
estimate the source component intended for it. That is, Receiver~1 wishes to
estimate the first source component and Receiver~2 wishes to estimate the
second source component. Our interest is in the pairs of expected squared-error
distortions that are simultaneously achievable at the two receivers.
We prove that an uncoded transmission scheme that sends a linear combination
of the source components achieves the optimal power-versus-distortion trade-off
whenever the signal-to-noise ratio is below a certain threshold. The threshold
is a function of the source correlation and the distortion at the receiver with
the weaker noise.
| cs.IT math.IT | we consider the transmission of a memoryless bivariate gaussian source over an averagepowerconstrained onetotwo gaussian broadcast channel the transmitter observes the source and describes it to the two receivers by means of an averagepowerconstrained signal each receiver observes the transmitted signal corrupted by a different additive white gaussian noise and wishes to estimate the source component intended for it that is receiver1 wishes to estimate the first source component and receiver2 wishes to estimate the second source component our interest is in the pairs of expected squarederror distortions that are simultaneously achievable at the two receivers we prove that an uncoded transmission scheme that sends a linear combination of the source components achieves the optimal powerversusdistortion tradeoff whenever the signaltonoise ratio is below a certain threshold the threshold is a function of the source correlation and the distortion at the receiver with the weaker noise | [['we', 'consider', 'the', 'transmission', 'of', 'a', 'memoryless', 'bivariate', 'gaussian', 'source', 'over', 'an', 'averagepowerconstrained', 'onetotwo', 'gaussian', 'broadcast', 'channel', 'the', 'transmitter', 'observes', 'the', 'source', 'and', 'describes', 'it', 'to', 'the', 'two', 'receivers', 'by', 'means', 'of', 'an', 'averagepowerconstrained', 'signal', 'each', 'receiver', 'observes', 'the', 'transmitted', 'signal', 'corrupted', 'by', 'a', 'different', 'additive', 'white', 'gaussian', 'noise', 'and', 'wishes', 'to', 'estimate', 'the', 'source', 'component', 'intended', 'for', 'it', 'that', 'is', 'receiver1', 'wishes', 'to', 'estimate', 'the', 'first', 'source', 'component', 'and', 'receiver2', 'wishes', 'to', 'estimate', 'the', 'second', 'source', 'component', 'our', 'interest', 'is', 'in', 'the', 'pairs', 'of', 'expected', 'squarederror', 'distortions', 'that', 'are', 'simultaneously', 'achievable', 'at', 'the', 'two', 'receivers', 'we', 'prove', 'that', 'an', 'uncoded', 'transmission', 'scheme', 'that', 'sends', 'a', 'linear', 'combination', 'of', 'the', 'source', 'components', 'achieves', 'the', 'optimal', 'powerversusdistortion', 'tradeoff', 'whenever', 'the', 'signaltonoise', 'ratio', 'is', 'below', 'a', 'certain', 'threshold', 'the', 'threshold', 'is', 'a', 'function', 'of', 'the', 'source', 'correlation', 'and', 'the', 'distortion', 'at', 'the', 'receiver', 'with', 'the', 'weaker', 'noise']] | [-0.19112566012120968, 0.046590244992202455, -0.0668628697552469, 0.045932216563222696, -0.06408554008296154, -0.24398225396674808, 0.07106850310359937, 0.3952536672078283, -0.3223315823009946, -0.23124192714114006, 0.10763440358134406, -0.335685915667826, -0.10095568566417493, 0.15348036487301497, -0.09214264765040765, 0.028001678274603377, -0.009382957382731035, 0.10922957786554012, -0.006957556616226343, -0.26858192447631973, 0.3120910211234242, 0.12767479161102271, 0.28838976906796154, -0.026391677374781018, 0.17591056180789963, 0.042012110483688365, -0.03392438518709805, -0.11671678473333448, -0.06813590696288935, 0.027765611000523025, 0.2830627606755359, 0.1627880045111147, 0.24589079992622662, -0.30677574706381894, -0.23940371817738657, 0.11467247912791413, 0.09049544712728624, 0.08144137231816709, -0.016999098919922302, -0.255853550128219, 0.10122822021940907, -0.15962604933064167, -0.03219740046188235, 0.09388770297346768, -0.06747740830137382, 0.04316817459151883, -0.38241716816654087, 0.04829323686606867, 0.053903197918848046, -0.02791590649227966, -0.03326231205727721, -0.11475984235031819, 0.028424531514887552, 0.18773013527478866, 0.01246800738088393, 0.04825633355583602, 0.09760683289938935, -0.10075458459241289, -0.06311616209347103, 0.32429602450541956, -0.11963816112379583, -0.20236832053403855, 0.11764475693770449, -0.1245638626401352, -0.060453956650773355, 0.21299351929214744, 0.17676060526093967, 0.028526657324900825, -0.18785741410388704, 0.004744873274753893, -0.01634835478075793, 0.2561518286787708, 0.0724949443771858, 0.08098417855012165, 0.17445661236440213, 0.08622067085873912, 0.14268779852920463, 0.2180192968660546, -0.19819375220358268, -0.04754470774090626, -0.3263082236353255, -0.0927625484075922, -0.24815310601679555, 0.01580495351407362, -0.09400661792204401, -0.08257790093972597, 0.36697213621866953, 0.11574855874600808, 0.15533774774390416, 0.08488231581885, 0.39349029224995574, 0.14778215388691998, -0.019308843613851448, 0.1266304592497017, 0.19932226434638592, 0.15723483978350922, 0.04111251854755863, -0.1771637048052942, 0.10905662129803652, -0.05979188979426268] |
710.5377 | Large tan(beta) effects in flavour physics | After a short introduction to the SUSY flavour problem, we focus the
attention on the MSSM with MFV and large $\tan\beta$. The theoretical
motivations and the general features of this scenario are briefly reviewed. The
possible signatures in low-energy flavour-violating observables are discussed,
with particular attention to the role played by $\BR(P\to\ell\nu)$,
$\BR(B_{s,d}\to \ell^+\ell^-)$ and $\BR(\mu\to e \gamma)$
| hep-ph | after a short introduction to the susy flavour problem we focus the attention on the mssm with mfv and large tanbeta the theoretical motivations and the general features of this scenario are briefly reviewed the possible signatures in lowenergy flavourviolating observables are discussed with particular attention to the role played by brptoellnu brb_sdto ellell and brmuto e gamma | [['after', 'a', 'short', 'introduction', 'to', 'the', 'susy', 'flavour', 'problem', 'we', 'focus', 'the', 'attention', 'on', 'the', 'mssm', 'with', 'mfv', 'and', 'large', 'tanbeta', 'the', 'theoretical', 'motivations', 'and', 'the', 'general', 'features', 'of', 'this', 'scenario', 'are', 'briefly', 'reviewed', 'the', 'possible', 'signatures', 'in', 'lowenergy', 'flavourviolating', 'observables', 'are', 'discussed', 'with', 'particular', 'attention', 'to', 'the', 'role', 'played', 'by', 'brptoellnu', 'brb_sdto', 'ellell', 'and', 'brmuto', 'e', 'gamma']] | [-0.10716166049574635, 0.22408137791457453, 0.019616578123532236, 0.18591135153837968, -0.1208059669339231, -0.19188483271448473, 0.0355737670657358, 0.354039980181759, -0.19708490797451564, -0.25450564596602426, 0.06523164384790496, -0.26361041955949205, -0.09138290666409635, 0.14376098702528647, -0.023161831424139172, 0.07135636622219213, 0.06142424981641982, 0.004666086519137025, -0.03300669114209346, -0.23956803945891028, 0.3191734554379114, 0.1141061815100589, 0.20051126085620904, 0.11567184819640326, -0.015377571889465409, 0.023072058950284764, -0.09701118306968835, -0.06988241142659847, -0.18598332225727582, 0.11448001668447562, 0.24441253970975854, 0.10221875315099689, 0.16619188052469067, -0.38178843911737204, -0.13984216342214495, 0.15636791099262023, 0.08173245921664472, 0.08913025537705314, -0.10510113561966657, -0.35191310243681073, 0.04417275725531259, -0.18563738985851938, -0.07988403508872059, -0.06576068995387427, 0.01535059035190248, -0.10190863099913779, -0.27390126337039483, 0.021586929173541387, 0.03033846102854503, 0.02834172360599041, 0.06931008437147414, -0.19387938557650028, -0.024283188694555844, 0.01471734550016533, 0.2261313121832375, -0.01728137243273003, 0.13252715378101648, -0.19859049090466993, -0.15903919240060663, 0.45165847587798325, -0.025335906904989054, -0.1715926232864149, 0.13534817424702592, -0.1436279946189773, -0.25130414125825545, 0.06652158625157815, 0.19276179283458209, 0.08734164786125932, -0.13379341801295855, 0.2356642694846544, -0.0039357395679482056, 0.054802373242897114, 0.005414323116253529, 0.11487540950786622, 0.2655784352349916, 0.2429839879332576, -0.02873503158999873, 0.05532381926397128, -0.07358536737488716, -0.10080512473463646, -0.46580332424491644, -0.03933795662929437, -0.04879042486261044, 0.024975669470482638, -0.04183745508037516, -0.029972692469267974, 0.4418137060877468, 0.13091974257258698, 0.2773476316360757, -0.0024727768489226165, 0.2519615945098589, 0.05302990332711488, 0.025907195606643136, -0.005647582912518244, 0.30691946307862444, 0.11326414165835429, 0.1376148543256152, -0.2555589749244973, -0.003711042821773195, 0.07600141198158131] |
710.5378 | Geometric Lagrangians for massive higher-spin fields | Lagrangians for massive, unconstrained, higher-spin bosons and fermions are
proposed. The idea is to modify the geometric, gauge invariant Lagrangians
describing the corresponding massless theories by the addition of suitable
quadratic polynomials. These polynomials provide generalisations of the
Fierz-Pauli mass term containing all possible traces of the basic field. No
auxiliary fields are needed.
| hep-th | lagrangians for massive unconstrained higherspin bosons and fermions are proposed the idea is to modify the geometric gauge invariant lagrangians describing the corresponding massless theories by the addition of suitable quadratic polynomials these polynomials provide generalisations of the fierzpauli mass term containing all possible traces of the basic field no auxiliary fields are needed | [['lagrangians', 'for', 'massive', 'unconstrained', 'higherspin', 'bosons', 'and', 'fermions', 'are', 'proposed', 'the', 'idea', 'is', 'to', 'modify', 'the', 'geometric', 'gauge', 'invariant', 'lagrangians', 'describing', 'the', 'corresponding', 'massless', 'theories', 'by', 'the', 'addition', 'of', 'suitable', 'quadratic', 'polynomials', 'these', 'polynomials', 'provide', 'generalisations', 'of', 'the', 'fierzpauli', 'mass', 'term', 'containing', 'all', 'possible', 'traces', 'of', 'the', 'basic', 'field', 'no', 'auxiliary', 'fields', 'are', 'needed']] | [-0.18871038372593898, 0.23216572789156256, -0.029638988483283255, 0.15652845045594774, -0.15792002755268994, -0.1524204629369908, -0.0965693670462955, 0.2754374948261237, -0.17373468088744967, -0.3031034949408085, 0.03492575461320855, -0.2469740712463304, -0.16440184341088213, 0.1017634430296581, -0.02091745707999777, 0.08568872456197385, 0.002792152869342654, 0.09288718636391288, -0.1081892277331833, -0.3652081854503464, 0.3790495716707988, -0.02063851340898071, 0.16386225483276778, -0.010554418060497416, 0.15545825730940258, 0.02821441877771307, -0.05191627348324767, -0.07046590975692703, -0.08731974266400491, 0.12031138403755096, 0.2089890377699501, 0.07745647761556837, 0.14457533568040365, -0.40978939795038766, -0.17394457454577572, 0.12651416639521443, 0.1476164800804798, 0.11726294518437633, -0.020933990651327703, -0.29733439427972946, 0.04324925653162171, -0.1176430135232362, -0.20039298475280198, -0.13681114930659533, -0.04631386998894245, -0.027249600565819827, -0.28388853263351377, 0.09535910503473133, 0.03151842775211359, 0.07695059847093136, -0.0692988100323688, -0.14711464168848815, -0.07240460789762437, 0.03301600535848626, 0.11569682334084064, 0.035387612754237595, 0.11621951486880856, -0.1996646893590137, -0.13984734285622835, 0.42555563085436543, -0.06823048989840404, -0.289995014184603, 0.2005321535937212, -0.0657342340607472, -0.16367088629070808, 0.13944904740761827, 0.10630027861851785, 0.16281621900594068, -0.20167948553312776, 0.23369935122038307, -0.08753100040161775, 0.05583794959993274, 0.10158171085640788, 0.10958295856619736, 0.28289539445433076, -0.02869976901759704, 0.011549892852565757, 0.12167709181947564, 0.06285734193537522, -0.15556692530555194, -0.4083955296901641, -0.17410351944811367, -0.101582105730712, 0.031662066667599395, -0.15180513254529582, -0.15647345160444578, 0.4063293831077991, 0.18001009027163187, 0.10036556406757208, 0.1035636482130805, 0.22884364757272932, 0.1555348457854793, 0.14922832942533273, 0.03461760405830487, 0.22738186758942902, 0.22740170373840052, 0.03649586111445118, -0.19346368934579747, -0.12256069477061154, 0.16855912089899736] |
710.5379 | Creating diamond color centers for quantum optical applications | Nitrogen vacancy (NV) centers in diamond have distinct promise as solid-state
qubits. This is because of their large dipole moment, convenient level
structure and very long room-temperature coherence times. In general, a
combination of ion irradiation and subsequent annealing is used to create the
centers, however for the rigorous demands of quantum computing all processes
need to be optimized, and decoherence due to the residual damage caused by the
implantation process itself must be mitigated. To that end we have studied
photoluminescence (PL) from NV$^-$, NV$^0$ and GR1 centers formed by ion
implantation of 2MeV He ions over a wide range of fluences. The sample was
annealed at $600^{\circ}$C to minimize residual vacancy diffusion, allowing for
the concurrent analysis of PL from NV centers and irradiation induced vacancies
(GR1). We find non-monotic PL intensities with increasing ion fluence,
monotonic increasing PL in NV$^0$/NV$^-$ and GR1/(NV$^0$ + NV$^1$) ratios, and
increasing inhomogeneous broadening of the zero-phonon lines with increasing
ion fluence. All these results shed important light on the optimal formation
conditions for NV qubits. We apply our findings to an off-resonant photonic
quantum memory scheme using vibronic sidebands.
| quant-ph cond-mat.mtrl-sci | nitrogen vacancy nv centers in diamond have distinct promise as solidstate qubits this is because of their large dipole moment convenient level structure and very long roomtemperature coherence times in general a combination of ion irradiation and subsequent annealing is used to create the centers however for the rigorous demands of quantum computing all processes need to be optimized and decoherence due to the residual damage caused by the implantation process itself must be mitigated to that end we have studied photoluminescence pl from nv nv0 and gr1 centers formed by ion implantation of 2mev he ions over a wide range of fluences the sample was annealed at 600circc to minimize residual vacancy diffusion allowing for the concurrent analysis of pl from nv centers and irradiation induced vacancies gr1 we find nonmonotic pl intensities with increasing ion fluence monotonic increasing pl in nv0nv and gr1nv0 nv1 ratios and increasing inhomogeneous broadening of the zerophonon lines with increasing ion fluence all these results shed important light on the optimal formation conditions for nv qubits we apply our findings to an offresonant photonic quantum memory scheme using vibronic sidebands | [['nitrogen', 'vacancy', 'nv', 'centers', 'in', 'diamond', 'have', 'distinct', 'promise', 'as', 'solidstate', 'qubits', 'this', 'is', 'because', 'of', 'their', 'large', 'dipole', 'moment', 'convenient', 'level', 'structure', 'and', 'very', 'long', 'roomtemperature', 'coherence', 'times', 'in', 'general', 'a', 'combination', 'of', 'ion', 'irradiation', 'and', 'subsequent', 'annealing', 'is', 'used', 'to', 'create', 'the', 'centers', 'however', 'for', 'the', 'rigorous', 'demands', 'of', 'quantum', 'computing', 'all', 'processes', 'need', 'to', 'be', 'optimized', 'and', 'decoherence', 'due', 'to', 'the', 'residual', 'damage', 'caused', 'by', 'the', 'implantation', 'process', 'itself', 'must', 'be', 'mitigated', 'to', 'that', 'end', 'we', 'have', 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710.538 | Coexistence in locally regulated competing populations and survival of
branching annihilating random walk | We propose two models of the evolution of a pair of competing populations.
Both are lattice based. The first is a compromise between fully spatial models,
which do not appear amenable to analytic results, and interacting particle
system models, which do not, at present, incorporate all of the competitive
strategies that a population might adopt. The second is a simplification of the
first, in which competition is only supposed to act within lattice sites and
the total population size within each lattice point is a constant. In a special
case, this second model is dual to a branching annihilating random walk. For
each model, using a comparison with oriented percolation, we show that for
certain parameter values, both populations will coexist for all time with
positive probability. As a corollary, we deduce survival for all time of
branching annihilating random walk for sufficiently large branching rates. We
also present a number of conjectures relating to the r\^{o}le of space in the
survival probabilities for the two populations.
| math.PR | we propose two models of the evolution of a pair of competing populations both are lattice based the first is a compromise between fully spatial models which do not appear amenable to analytic results and interacting particle system models which do not at present incorporate all of the competitive strategies that a population might adopt the second is a simplification of the first in which competition is only supposed to act within lattice sites and the total population size within each lattice point is a constant in a special case this second model is dual to a branching annihilating random walk for each model using a comparison with oriented percolation we show that for certain parameter values both populations will coexist for all time with positive probability as a corollary we deduce survival for all time of branching annihilating random walk for sufficiently large branching rates we also present a number of conjectures relating to the role of space in the survival probabilities for the two populations | [['we', 'propose', 'two', 'models', 'of', 'the', 'evolution', 'of', 'a', 'pair', 'of', 'competing', 'populations', 'both', 'are', 'lattice', 'based', 'the', 'first', 'is', 'a', 'compromise', 'between', 'fully', 'spatial', 'models', 'which', 'do', 'not', 'appear', 'amenable', 'to', 'analytic', 'results', 'and', 'interacting', 'particle', 'system', 'models', 'which', 'do', 'not', 'at', 'present', 'incorporate', 'all', 'of', 'the', 'competitive', 'strategies', 'that', 'a', 'population', 'might', 'adopt', 'the', 'second', 'is', 'a', 'simplification', 'of', 'the', 'first', 'in', 'which', 'competition', 'is', 'only', 'supposed', 'to', 'act', 'within', 'lattice', 'sites', 'and', 'the', 'total', 'population', 'size', 'within', 'each', 'lattice', 'point', 'is', 'a', 'constant', 'in', 'a', 'special', 'case', 'this', 'second', 'model', 'is', 'dual', 'to', 'a', 'branching', 'annihilating', 'random', 'walk', 'for', 'each', 'model', 'using', 'a', 'comparison', 'with', 'oriented', 'percolation', 'we', 'show', 'that', 'for', 'certain', 'parameter', 'values', 'both', 'populations', 'will', 'coexist', 'for', 'all', 'time', 'with', 'positive', 'probability', 'as', 'a', 'corollary', 'we', 'deduce', 'survival', 'for', 'all', 'time', 'of', 'branching', 'annihilating', 'random', 'walk', 'for', 'sufficiently', 'large', 'branching', 'rates', 'we', 'also', 'present', 'a', 'number', 'of', 'conjectures', 'relating', 'to', 'the', 'role', 'of', 'space', 'in', 'the', 'survival', 'probabilities', 'for', 'the', 'two', 'populations']] | [-0.11908002793586751, 0.15986920578940633, -0.08058968073169807, 0.06740966889572268, -0.0493184105718988, -0.13910443956467383, 0.08111403634301861, 0.3857397410438625, -0.23033496924860034, -0.2514117315556564, 0.09187032776525032, -0.25077262900708364, -0.11118543290527548, 0.1560903224880768, -0.005286903312976311, 0.0012135344881091747, 0.05180474698005389, 0.049106372438767136, -0.017353517974414555, -0.26549761045255704, 0.3086903900128349, 0.005421918348414812, 0.23033374886469035, 0.026802044598842986, 0.09346910686550026, 0.006895880103682887, 0.0007985909553077406, 0.039638827819604434, -0.11620162446987689, 0.09473055235622939, 0.20118794838835058, 0.09567726361579233, 0.27486807062195806, -0.3979402506043633, -0.19548607623193434, 0.17756502667698496, 0.15845115451167635, 0.1490352732529529, -0.04578204096295288, -0.2295204839532537, 0.07034112503654519, -0.17146742280884952, -0.11140066006047997, -0.03308897778046078, 0.0343411874617199, 0.05816821421602529, -0.3136854091893413, 0.07660025649604355, 0.04397048232073109, -0.00542422024878913, -0.06507300455569329, -0.12267570087092254, -0.01893575073214259, 0.16583775728662126, 0.010490349170467454, 0.001599716189217023, 0.08678872402322417, -0.11302666120582489, -0.16310513238729296, 0.3956154348931002, -0.08434314331078824, -0.22128214517435404, 0.21772632039219006, -0.1814114490613163, -0.1878340270782927, 0.11335690803393654, 0.20106105370625496, 0.11336218402860407, -0.1538524342321618, 0.051057708630210044, -0.07183731708140252, 0.16298767517011997, 0.006937815450845721, 0.005742604124867274, 0.21336290401456778, 0.1867121156935251, 0.07598237048633798, 0.11644636495680197, -0.07834728873016948, -0.14629936700095675, -0.3231096845064424, -0.16111669805413947, -0.1630748510325863, 0.04511350804182121, -0.10054259545369838, -0.18538274141418898, 0.3658638201893759, 0.1535088493973909, 0.2734360289549933, 0.13645010157056087, 0.2353358557503559, 0.10917127177517995, 0.031993916088124054, 0.05723904505717808, 0.1857609723967885, 0.10274565111689582, 0.029062621604963514, -0.16093988924372304, 0.09608290334403638, 0.07626619496840069] |
710.5381 | q-Deformed quaternions and su(2) instantons | We have recently introduced the notion of a q-quaternion bialgebra and shown
its strict link with the SO_q(4)-covariant quantum Euclidean space R_q^4.
Adopting the available differential geometric tools on the latter and the
quaternion language we have formulated and found solutions of the
(anti)selfduality equation [instantons and multi-instantons] of a would-be
deformed su(2) Yang-Mills theory on this quantum space. The solutions depend on
some noncommuting parameters, indicating that the moduli space of a complete
theory should be a noncommutative manifold. We summarize these results and add
an explicit comparison between the two SO_q(4)-covariant differential calculi
on R_q^4 and the two 4-dimensional bicovariant differential calculi on the bi-
(resp. Hopf) algebras M_q(2),GL_q(2),SU_q(2), showing that they essentially
coincide.
| math.QA math-ph math.MP | we have recently introduced the notion of a qquaternion bialgebra and shown its strict link with the so_q4covariant quantum euclidean space r_q4 adopting the available differential geometric tools on the latter and the quaternion language we have formulated and found solutions of the antiselfduality equation instantons and multiinstantons of a wouldbe deformed su2 yangmills theory on this quantum space the solutions depend on some noncommuting parameters indicating that the moduli space of a complete theory should be a noncommutative manifold we summarize these results and add an explicit comparison between the two so_q4covariant differential calculi on r_q4 and the two 4dimensional bicovariant differential calculi on the bi resp hopf algebras m_q2gl_q2su_q2 showing that they essentially coincide | [['we', 'have', 'recently', 'introduced', 'the', 'notion', 'of', 'a', 'qquaternion', 'bialgebra', 'and', 'shown', 'its', 'strict', 'link', 'with', 'the', 'so_q4covariant', 'quantum', 'euclidean', 'space', 'r_q4', 'adopting', 'the', 'available', 'differential', 'geometric', 'tools', 'on', 'the', 'latter', 'and', 'the', 'quaternion', 'language', 'we', 'have', 'formulated', 'and', 'found', 'solutions', 'of', 'the', 'antiselfduality', 'equation', 'instantons', 'and', 'multiinstantons', 'of', 'a', 'wouldbe', 'deformed', 'su2', 'yangmills', 'theory', 'on', 'this', 'quantum', 'space', 'the', 'solutions', 'depend', 'on', 'some', 'noncommuting', 'parameters', 'indicating', 'that', 'the', 'moduli', 'space', 'of', 'a', 'complete', 'theory', 'should', 'be', 'a', 'noncommutative', 'manifold', 'we', 'summarize', 'these', 'results', 'and', 'add', 'an', 'explicit', 'comparison', 'between', 'the', 'two', 'so_q4covariant', 'differential', 'calculi', 'on', 'r_q4', 'and', 'the', 'two', '4dimensional', 'bicovariant', 'differential', 'calculi', 'on', 'the', 'bi', 'resp', 'hopf', 'algebras', 'm_q2gl_q2su_q2', 'showing', 'that', 'they', 'essentially', 'coincide']] | [-0.1419747213107517, 0.08537191723956182, -0.11110789163337488, 0.11392164602355999, -0.12479266868571617, -0.1326280262396072, -0.017953788439626805, 0.3347991147477712, -0.2538172644090082, -0.22586044442765082, 0.09899660471845502, -0.27458349298935253, -0.20376107303725025, 0.1695244844179667, -0.12039640475164301, 0.025894199651312583, 0.03378927424949195, 0.10251444089226425, -0.13777335630584275, -0.27153684215695, 0.41486494646440925, -0.02941862544061483, 0.2382113650237443, 0.011393743692938838, 0.17522200032336904, -0.00013681521055072414, -0.0590281076147221, 0.03959301126061681, -0.21816096901459656, 0.1377437085112823, 0.23874237491483136, 0.07849948491951052, 0.16799228052176268, -0.42179686672586414, -0.1518036565955429, 0.10407651338859328, 0.12435192424371573, 0.07832332962425426, -0.0015585599643860146, -0.33381204787708285, 0.03274629782806317, -0.16697374601166562, -0.07718250812363944, -0.11232532990158818, 0.009606660801052515, -0.024552460277586112, -0.19245316125514883, -0.024659431686554205, 0.08493617373252553, 0.0865870912779688, -0.09515904281059713, -0.09786906856710889, -0.09612815514265094, 0.04929696896163348, 0.0015852896779376482, 0.027035620774508322, 0.08804570898999893, -0.0706065745138663, -0.1780678748286196, 0.3340031195631517, -0.03079199477464759, -0.2864841464969296, 0.13996396600539032, -0.12546937157666044, -0.17439521178935788, 0.06990455821089979, 0.07668452834228187, 0.15329618937019923, -0.07216463475404973, 0.20543601113292556, -0.055603876227646, 0.11180905871359366, 0.10822455636558256, 0.05998664264916442, 0.16978849765811382, 0.08669925257397283, 0.049470050032791084, 0.07849835088148081, 0.024382207428321374, -0.1806801739439834, -0.3685270750928404, -0.18026036437575904, -0.06790447335307752, 0.09549844487420549, -0.13862521002556605, -0.18124743297890486, 0.3421125374609671, 0.07803924039555048, 0.16283381397287094, 0.06711819243043594, 0.20450429827282537, 0.134959896203197, 0.07959329259132833, 0.02061268121386612, 0.23421232879341655, 0.22778271361520247, 0.09279697806986016, -0.19035862235718273, -0.04719131882302463, 0.15137206747229875] |
710.5382 | Some Reflections on the Task of Content Determination in the Context of
Multi-Document Summarization of Evolving Events | Despite its importance, the task of summarizing evolving events has received
small attention by researchers in the field of multi-document summariztion. In
a previous paper (Afantenos et al. 2007) we have presented a methodology for
the automatic summarization of documents, emitted by multiple sources, which
describe the evolution of an event. At the heart of this methodology lies the
identification of similarities and differences between the various documents,
in two axes: the synchronic and the diachronic. This is achieved by the
introduction of the notion of Synchronic and Diachronic Relations. Those
relations connect the messages that are found in the documents, resulting thus
in a graph which we call grid. Although the creation of the grid completes the
Document Planning phase of a typical NLG architecture, it can be the case that
the number of messages contained in a grid is very large, exceeding thus the
required compression rate. In this paper we provide some initial thoughts on a
probabilistic model which can be applied at the Content Determination stage,
and which tries to alleviate this problem.
| cs.CL | despite its importance the task of summarizing evolving events has received small attention by researchers in the field of multidocument summariztion in a previous paper afantenos et al 2007 we have presented a methodology for the automatic summarization of documents emitted by multiple sources which describe the evolution of an event at the heart of this methodology lies the identification of similarities and differences between the various documents in two axes the synchronic and the diachronic this is achieved by the introduction of the notion of synchronic and diachronic relations those relations connect the messages that are found in the documents resulting thus in a graph which we call grid although the creation of the grid completes the document planning phase of a typical nlg architecture it can be the case that the number of messages contained in a grid is very large exceeding thus the required compression rate in this paper we provide some initial thoughts on a probabilistic model which can be applied at the content determination stage and which tries to alleviate this problem | [['despite', 'its', 'importance', 'the', 'task', 'of', 'summarizing', 'evolving', 'events', 'has', 'received', 'small', 'attention', 'by', 'researchers', 'in', 'the', 'field', 'of', 'multidocument', 'summariztion', 'in', 'a', 'previous', 'paper', 'afantenos', 'et', 'al', '2007', 'we', 'have', 'presented', 'a', 'methodology', 'for', 'the', 'automatic', 'summarization', 'of', 'documents', 'emitted', 'by', 'multiple', 'sources', 'which', 'describe', 'the', 'evolution', 'of', 'an', 'event', 'at', 'the', 'heart', 'of', 'this', 'methodology', 'lies', 'the', 'identification', 'of', 'similarities', 'and', 'differences', 'between', 'the', 'various', 'documents', 'in', 'two', 'axes', 'the', 'synchronic', 'and', 'the', 'diachronic', 'this', 'is', 'achieved', 'by', 'the', 'introduction', 'of', 'the', 'notion', 'of', 'synchronic', 'and', 'diachronic', 'relations', 'those', 'relations', 'connect', 'the', 'messages', 'that', 'are', 'found', 'in', 'the', 'documents', 'resulting', 'thus', 'in', 'a', 'graph', 'which', 'we', 'call', 'grid', 'although', 'the', 'creation', 'of', 'the', 'grid', 'completes', 'the', 'document', 'planning', 'phase', 'of', 'a', 'typical', 'nlg', 'architecture', 'it', 'can', 'be', 'the', 'case', 'that', 'the', 'number', 'of', 'messages', 'contained', 'in', 'a', 'grid', 'is', 'very', 'large', 'exceeding', 'thus', 'the', 'required', 'compression', 'rate', 'in', 'this', 'paper', 'we', 'provide', 'some', 'initial', 'thoughts', 'on', 'a', 'probabilistic', 'model', 'which', 'can', 'be', 'applied', 'at', 'the', 'content', 'determination', 'stage', 'and', 'which', 'tries', 'to', 'alleviate', 'this', 'problem']] | [-0.12044263244207416, 0.092863874357676, -0.07270817486136885, 0.0491064948966128, -0.09428452838212252, -0.06613498423514622, 0.06179709590306239, 0.35903357493025917, -0.25028328523572, -0.341789903949414, 0.09162877467327885, -0.277325632338013, -0.13190280012254205, 0.18490393265117225, -0.10299048743077686, 0.009849464320910297, 0.09364081704722983, 0.05113631926626632, -0.035192109800076914, -0.2630493683030363, 0.31680750816528286, 0.0708412466943264, 0.31045332146143273, 0.030977414512474623, 0.08783275553624012, -0.0049988855448152335, -0.0990641165631158, 0.00731281680720193, -0.08564670580214755, 0.15687589901832066, 0.2959000264454101, 0.19509184868341045, 0.30337917637079953, -0.39610528711229565, -0.19409939272121327, 0.0868609852503453, 0.14042288190019983, 0.11533882853358851, -0.05842558650100338, -0.2815017843465986, 0.08755192757451108, -0.18747290185852242, -0.0422776480072311, -0.014981422730322396, 0.045028057982479885, 0.023128003303759866, -0.22290374242368022, 0.029753030030322928, 0.10016888047967638, 0.06726993872202001, -0.01384051125912395, -0.0661946427622544, 0.013201157889728036, 0.16479824934420842, 0.04674425460065582, 0.06114533357056124, 0.07348861834566509, -0.1377930132086788, -0.11663341437067304, 0.3984452921790736, -0.005724090156810625, -0.17910349002906253, 0.17114102325269154, -0.08919310196169786, -0.15780652943599438, 0.10125727074220776, 0.20253122699047837, 0.10503600305478487, -0.18032242918653146, 0.05183787494897842, -0.033604348819436775, 0.16560617733480676, 0.07469169719011656, 0.007489429164145674, 0.22535472132664705, 0.19415970892246281, -0.00486700044279652, 0.1328459783204432, -0.07600998062108244, -0.07665517271130479, -0.2587326041745421, -0.14690815873943003, -0.18388456194395467, -0.03163886773067393, -0.07635755938045415, -0.14664886894403026, 0.4378247255752129, 0.227731278417632, 0.21154226817190647, 0.03516083793315504, 0.27958242088024104, 0.06724729197365897, 0.07043478084561815, 0.07532832503019433, 0.20562923215313017, 0.052485067807137964, 0.15871055230764405, -0.17979322759700672, 0.10902832298539579, 0.05330111530476383] |
710.5383 | Silicate dust in the environment of RS Ophiuchi following the 2006
eruption | We present further Spitzer Space Telescope observations of the recurrent nova
RS Ophiuchi, obtained over the period 208-430 days after the 2006 eruption. The
later Spitzer IRS data show that the line emission and free-free continuum
emission reported earlier is declining, revealing incontrovertible evidence for
the presence of silicate emission features at 9.7 and 18microns. We conclude
that the silicate dust survives the hard radiation impulse and shock blast wave
from the eruption. The existence of the extant dust may have significant
implications for understanding the propagation of shocks through the red giant
wind and likely wind geometry.
| astro-ph | we present further spitzer space telescope observations of the recurrent nova rs ophiuchi obtained over the period 208430 days after the 2006 eruption the later spitzer irs data show that the line emission and freefree continuum emission reported earlier is declining revealing incontrovertible evidence for the presence of silicate emission features at 97 and 18microns we conclude that the silicate dust survives the hard radiation impulse and shock blast wave from the eruption the existence of the extant dust may have significant implications for understanding the propagation of shocks through the red giant wind and likely wind geometry | [['we', 'present', 'further', 'spitzer', 'space', 'telescope', 'observations', 'of', 'the', 'recurrent', 'nova', 'rs', 'ophiuchi', 'obtained', 'over', 'the', 'period', '208430', 'days', 'after', 'the', '2006', 'eruption', 'the', 'later', 'spitzer', 'irs', 'data', 'show', 'that', 'the', 'line', 'emission', 'and', 'freefree', 'continuum', 'emission', 'reported', 'earlier', 'is', 'declining', 'revealing', 'incontrovertible', 'evidence', 'for', 'the', 'presence', 'of', 'silicate', 'emission', 'features', 'at', '97', 'and', '18microns', 'we', 'conclude', 'that', 'the', 'silicate', 'dust', 'survives', 'the', 'hard', 'radiation', 'impulse', 'and', 'shock', 'blast', 'wave', 'from', 'the', 'eruption', 'the', 'existence', 'of', 'the', 'extant', 'dust', 'may', 'have', 'significant', 'implications', 'for', 'understanding', 'the', 'propagation', 'of', 'shocks', 'through', 'the', 'red', 'giant', 'wind', 'and', 'likely', 'wind', 'geometry']] | [-0.05829856822189564, 0.10025001599812337, -0.06371153963361091, 0.08015903028838996, -0.1038553430698812, -0.05991666068924436, 0.05182177702226909, 0.46180191459522274, -0.18314295703385142, -0.2726504379728188, 0.08827331608093421, -0.28869105520425364, -0.11240480962442234, 0.1477716029379129, -0.0034513595625564144, -0.04463568931290259, 0.13049303626758046, -0.16894690747722052, 0.004909615318562525, -0.2354737557664824, 0.2716387349209981, 0.13955528833321296, 0.1554156439669896, 0.018056310606577124, 0.051787835920549696, -0.10604806045254615, -0.10397985219272717, -0.1162099312632563, -0.12005040451989164, 0.012954973402277878, 0.1637279855858651, 0.15811996158057204, 0.1717936265243528, -0.41724459413671866, -0.3346387479881135, 0.04489133028012778, 0.15719080038252287, 0.0034939285202805572, 0.008024209984190142, -0.3001009278232232, -0.009028871456393972, -0.1756371632606412, -0.20525847866277522, 0.10351134491308282, 0.10220666692475788, -0.010483199109633764, -0.21778830044907713, 0.10364577767904848, 0.049560020155089056, 0.11729542328005967, -0.18611147273137854, -0.08878973769121028, -0.12291159672046585, 0.027259146930494655, 0.08166572620636241, 0.05569262157465952, 0.15271121060747342, -0.12587744944903534, -0.06030946802153873, 0.36091458894467604, -0.10869709241281574, 0.12782362359575927, 0.2599188681439652, -0.24686356334465623, -0.1664254083443666, 0.30195029446137295, 0.1229685820483913, 0.04267832236655522, -0.11900075057443853, -0.025323929158427443, -0.056521394124956714, 0.19264501090947306, 0.07510048076680202, 0.06401690997881815, 0.33187780387621996, 0.12773066897837757, -0.07065457997669, 0.158869161416078, -0.3259148395251638, -0.03354256817450126, -0.2893035899226864, -0.10958578653905231, -0.12459733784635318, 0.10152433320323932, -0.15320316596322905, -0.10722947457300809, 0.32523315624469734, 0.12909333701463765, 0.16757250293206502, 0.037334763571076714, 0.2931924544197197, 0.05669307858139897, 0.05769468924412043, 0.18878521393586803, 0.36243258984662435, 0.12660634359538867, 0.203500535919981, -0.23319864114697944, 0.12442114693597735, 0.0007895667416354021] |
710.5384 | Structure of hybrid protoneutron stars within the Nambu--Jona-Lasinio
model | We investigate the structure of protoneutron stars (PNS) formed by hadronic
and quark matter in $\beta$-equilibrium described by appropriate equations of
state (EOS). For the hadronic matter, we use a finite temperature EOS based on
the Brueckner-Bethe-Goldstone many-body theory, with realistic two- and
three-body forces. For the quark sector, we employ the Nambu--Jona-Lasinio
model. We find that the maximum allowed masses are comprised in a narrow range
around 1.8 solar masses, with a slight dependence on the temperature.
Metastable hybrid protoneutron stars are not found.
| astro-ph nucl-th | we investigate the structure of protoneutron stars pns formed by hadronic and quark matter in betaequilibrium described by appropriate equations of state eos for the hadronic matter we use a finite temperature eos based on the bruecknerbethegoldstone manybody theory with realistic two and threebody forces for the quark sector we employ the nambujonalasinio model we find that the maximum allowed masses are comprised in a narrow range around 18 solar masses with a slight dependence on the temperature metastable hybrid protoneutron stars are not found | [['we', 'investigate', 'the', 'structure', 'of', 'protoneutron', 'stars', 'pns', 'formed', 'by', 'hadronic', 'and', 'quark', 'matter', 'in', 'betaequilibrium', 'described', 'by', 'appropriate', 'equations', 'of', 'state', 'eos', 'for', 'the', 'hadronic', 'matter', 'we', 'use', 'a', 'finite', 'temperature', 'eos', 'based', 'on', 'the', 'bruecknerbethegoldstone', 'manybody', 'theory', 'with', 'realistic', 'two', 'and', 'threebody', 'forces', 'for', 'the', 'quark', 'sector', 'we', 'employ', 'the', 'nambujonalasinio', 'model', 'we', 'find', 'that', 'the', 'maximum', 'allowed', 'masses', 'are', 'comprised', 'in', 'a', 'narrow', 'range', 'around', '18', 'solar', 'masses', 'with', 'a', 'slight', 'dependence', 'on', 'the', 'temperature', 'metastable', 'hybrid', 'protoneutron', 'stars', 'are', 'not', 'found']] | [-0.0903190060518682, 0.2990115187623922, -0.09147398236262448, 0.11148464559091201, -0.0761037262266173, -0.052140236541847976, 0.07329030049389557, 0.3235073913765304, -0.1364442588761449, -0.3173036269734011, -0.010452423170756767, -0.264743195923374, 0.021588889158823912, 0.11529826090999824, 0.06715184917454334, 0.040063901678385104, 0.0633826405111262, 0.04358312377213117, -0.14834388384650296, -0.18797669548486523, 0.3923282233614694, -0.05283709948690718, 0.1643880536670194, 0.07711676177294816, 0.05612887473886504, -0.06470998462618274, 0.023836067417526946, -0.019147608911289887, -0.18640179827797348, -0.024867330754504483, 0.1805817371713655, 0.060577554458423576, 0.15124012712005744, -0.4352382118211073, -0.2564174392589313, 0.09764897576259339, 0.1116163603564286, 0.12451790087472867, -0.11084058934767894, -0.28842567126540575, 0.06300025088712573, -0.27614392896785456, -0.16687003186602584, -0.08482432634816231, -0.03185468373601051, 0.012320280140813659, -0.26054025138248965, 0.12250078118625371, -0.04173920545453096, -0.015355369076132774, -0.11302735090036603, -0.2059163836433607, -0.054629469776580876, -0.022175989278099117, 0.003866328393547412, 0.02031561515896636, 0.18480955807163435, -0.170351554032202, -0.009436678426230655, 0.440251122612287, -0.1080428008647526, -0.10330143337521483, 0.16501733235576574, -0.1706484964583069, -0.13704303896383327, 0.0975857885006596, 0.17485353199436385, 0.14140816360492917, -0.20315709145027486, 0.07146216851037666, -0.02456274387864944, 0.2071430822067401, 0.06625293029800934, 0.01221117987023557, 0.3173724050030989, 0.2336826159070958, -0.04344770804266719, 0.08369961286730626, -0.1100465081686921, -0.15194998355582356, -0.3053341142121045, -0.028256895656094832, -0.10377255738438929, 0.012232154314851333, -0.11767228693283602, -0.1575150418588344, 0.3855474750675699, 0.1195394410587409, 0.156559499659959, -0.01841283276238862, 0.25961579163284865, 0.09204609647790409, 0.028521273723419976, 0.14328713655362235, 0.33398252461543854, 0.24665009167374058, 0.11302137936958495, -0.31175518809434244, -0.0008001222987385358, 0.08300529663615366] |
710.5385 | Analysis of quantum semigroups with GKS-Lindblad generators I. Simple
generators | Semigroups describing the time evolution of open quantum systems in finite
dimensional spaces have generators of a special form, known as Lindblad
generators. The simple generators, characterized by only one operator, are
analyzed. The complete set of all the stationary states is presented in detail,
including a formula to calculate a stationary state from the generating
operator. Also the opposite task can be fulfilled, to construct an evolution
leading to a prescribed stationary state.
| math-ph math.MP quant-ph | semigroups describing the time evolution of open quantum systems in finite dimensional spaces have generators of a special form known as lindblad generators the simple generators characterized by only one operator are analyzed the complete set of all the stationary states is presented in detail including a formula to calculate a stationary state from the generating operator also the opposite task can be fulfilled to construct an evolution leading to a prescribed stationary state | [['semigroups', 'describing', 'the', 'time', 'evolution', 'of', 'open', 'quantum', 'systems', 'in', 'finite', 'dimensional', 'spaces', 'have', 'generators', 'of', 'a', 'special', 'form', 'known', 'as', 'lindblad', 'generators', 'the', 'simple', 'generators', 'characterized', 'by', 'only', 'one', 'operator', 'are', 'analyzed', 'the', 'complete', 'set', 'of', 'all', 'the', 'stationary', 'states', 'is', 'presented', 'in', 'detail', 'including', 'a', 'formula', 'to', 'calculate', 'a', 'stationary', 'state', 'from', 'the', 'generating', 'operator', 'also', 'the', 'opposite', 'task', 'can', 'be', 'fulfilled', 'to', 'construct', 'an', 'evolution', 'leading', 'to', 'a', 'prescribed', 'stationary', 'state']] | [-0.13336424878169154, 0.1422028197307923, -0.05920592622479071, 0.10356009990209714, -0.04020832148632286, -0.11945680088388759, -0.026507372697311883, 0.3204548969562795, -0.26318661146167965, -0.21440728698429223, 0.12850365138650444, -0.26897805640033473, -0.07720924132327373, 0.21328144745800542, -0.04270541591167047, 0.07783566181220718, 0.062431664388576474, 0.10459364494434684, -0.10836538881365512, -0.20463265394603178, 0.35419541027245893, 0.011861144456496412, 0.23699804945420977, -0.029387517473534554, 0.14678062000186057, -0.02578803591077795, 0.003710991153934014, 0.012609967099804734, -0.11434170080197824, 0.053040239956022264, 0.27433325785111534, 0.08113652389697931, 0.23089544952066765, -0.4311020073506075, -0.17461646464024042, 0.12094724503805156, 0.13789559879994676, 0.12482237866198695, -0.04493112896090826, -0.28717402186295066, 0.06148099483343194, -0.20181750809471752, -0.2085246500382955, -0.11458830406411073, 0.05063128169953219, 0.0155768761461651, -0.25956248844394814, 0.028684439662626845, 0.07634409552289022, 0.035014021346845815, -0.06191607581363437, -0.05289467112035365, -0.07905477301746204, 0.16477917774102172, -0.027291945480691217, -0.0032762265009050433, 0.07486341719993868, -0.09549792403029986, -0.17637367273454327, 0.3559678206220269, -0.03310733350195192, -0.2524944902020129, 0.14004728833301547, -0.16248965436416501, -0.10902360576280468, 0.11308155387067362, 0.15639316008703127, 0.14726193511553384, -0.20614818619513833, 0.1298323555257977, -0.057583566213882456, 0.08498239434619963, 0.0690829510158683, 0.03977375478810958, 0.1591953495517373, 0.10206013307529124, 0.04702785472398171, 0.1887758106631982, 0.0501253003745365, -0.1658598013635964, -0.3627160594270036, -0.14979691069724188, -0.19334245134755415, 0.1018497939221561, -0.04877196938881802, -0.2093545925878995, 0.43122957496765396, 0.09108389030773872, 0.20700960449647862, 0.026175588986056077, 0.22471066788342353, 0.2212567420747537, 0.03335971847755482, 0.12264927357633447, 0.14788009754910664, 0.16178227053967784, 0.028924110546909475, -0.20721217436476838, 0.04784960758469596, 0.12265734101419111] |
710.5386 | Acquisition of Information is Achieved by the Measurement Process in
Classical and Quantum Physics | No consensus seems to exist as to what constitutes a measurement which is
still considered somewhat mysterious in many respects in quantum mechanics. At
successive stages mathematical theory of measure, metrology and measurement
theory tried to systematize this field but significant questions remain open
about the nature of measurement, about the characterization of the observer,
about the reliability of measurement processes etc. The present paper attempts
to talk about these questions through the information science. We start from
the idea, rather common and intuitive, that the measurement process basically
acquires information. Next we expand this idea through four formal definitions
and infer some corollaries regarding the measurement process from those
definitions. Relativity emerges as the basic property of measurement from the
present logical framework and this rather surprising result collides with the
feeling of physicists who take measurement as a myth. In the closing this paper
shows how the measurement relativity wholly consists with some effects
calculated in QM and in Einstein's theory.
| quant-ph cs.IT hep-th math.IT | no consensus seems to exist as to what constitutes a measurement which is still considered somewhat mysterious in many respects in quantum mechanics at successive stages mathematical theory of measure metrology and measurement theory tried to systematize this field but significant questions remain open about the nature of measurement about the characterization of the observer about the reliability of measurement processes etc the present paper attempts to talk about these questions through the information science we start from the idea rather common and intuitive that the measurement process basically acquires information next we expand this idea through four formal definitions and infer some corollaries regarding the measurement process from those definitions relativity emerges as the basic property of measurement from the present logical framework and this rather surprising result collides with the feeling of physicists who take measurement as a myth in the closing this paper shows how the measurement relativity wholly consists with some effects calculated in qm and in einsteins theory | [['no', 'consensus', 'seems', 'to', 'exist', 'as', 'to', 'what', 'constitutes', 'a', 'measurement', 'which', 'is', 'still', 'considered', 'somewhat', 'mysterious', 'in', 'many', 'respects', 'in', 'quantum', 'mechanics', 'at', 'successive', 'stages', 'mathematical', 'theory', 'of', 'measure', 'metrology', 'and', 'measurement', 'theory', 'tried', 'to', 'systematize', 'this', 'field', 'but', 'significant', 'questions', 'remain', 'open', 'about', 'the', 'nature', 'of', 'measurement', 'about', 'the', 'characterization', 'of', 'the', 'observer', 'about', 'the', 'reliability', 'of', 'measurement', 'processes', 'etc', 'the', 'present', 'paper', 'attempts', 'to', 'talk', 'about', 'these', 'questions', 'through', 'the', 'information', 'science', 'we', 'start', 'from', 'the', 'idea', 'rather', 'common', 'and', 'intuitive', 'that', 'the', 'measurement', 'process', 'basically', 'acquires', 'information', 'next', 'we', 'expand', 'this', 'idea', 'through', 'four', 'formal', 'definitions', 'and', 'infer', 'some', 'corollaries', 'regarding', 'the', 'measurement', 'process', 'from', 'those', 'definitions', 'relativity', 'emerges', 'as', 'the', 'basic', 'property', 'of', 'measurement', 'from', 'the', 'present', 'logical', 'framework', 'and', 'this', 'rather', 'surprising', 'result', 'collides', 'with', 'the', 'feeling', 'of', 'physicists', 'who', 'take', 'measurement', 'as', 'a', 'myth', 'in', 'the', 'closing', 'this', 'paper', 'shows', 'how', 'the', 'measurement', 'relativity', 'wholly', 'consists', 'with', 'some', 'effects', 'calculated', 'in', 'qm', 'and', 'in', 'einsteins', 'theory']] | [-0.08731839239477335, 0.11164786472939457, -0.14602346315214332, 0.07321242111506232, -0.09334276252043394, -0.1504855362321336, 0.07735949402255081, 0.3036213522674116, -0.2807532586157322, -0.35391138144911616, 0.08683006430796113, -0.27787473810510993, -0.14005772974923292, 0.15509467908149824, -0.11366283266228035, 0.012938916443224334, 0.05369063680477303, 0.06267373053859805, -0.08188268901463142, -0.19692696571032992, 0.3226971490122235, 0.09408490828087017, 0.2519606487322713, 0.057896967204516196, 0.08587533656073494, 0.031219443883404044, -0.09190423142142091, -0.013308493981846362, -0.13882860022282228, 0.11798831353291149, 0.28615140723367366, 0.1981823999303296, 0.31488330028036987, -0.4364338361892415, -0.18564569834974007, 0.04689693932555954, 0.1138197508300626, 0.15068630925847498, -0.04781555697219046, -0.2783639079925427, 0.013816263265993469, -0.14099993915268522, -0.15281885251562838, -0.038828701160825284, 0.01467559192161093, -0.08483739615492294, -0.15208482406919172, 0.06436848575877814, 0.11090021284491372, 0.07531471921993774, -0.02581353454587787, -0.09089933282501447, 0.08174719416002166, 0.13948884177267368, 0.08673054395147822, 0.027773051334122206, 0.13339757026555987, -0.11688558170514787, -0.1420120080922976, 0.41247833316768606, 0.0058688294753843654, -0.15538632768821228, 0.16931894727542632, -0.1677694826464003, -0.1785398544600816, 0.04680925115165901, 0.11140719856324097, 0.08039553745141241, -0.1756625546548127, 0.027421296372412605, -0.02834060123658802, 0.1647392377361621, 0.07841528886272087, 0.08844963651353299, 0.23204019590583772, 0.1295044046506697, 0.013668685889748594, 0.06926157181236915, 0.013514835661722839, -0.16731452923325216, -0.3663135879598787, -0.15636109371588885, -0.1313088923789835, 0.10692090580262746, -0.020282921806514188, -0.12789910077545907, 0.3664102190848371, 0.23960368265540688, 0.1686765219690564, 0.01153358408575592, 0.31383887906073155, 0.04615068205480858, 0.029505065925836425, 0.03095381136732233, 0.28672734870713923, 0.1742855766445307, 0.149832008169404, -0.1258064635477223, 0.11008516142281927, 0.005318567553889349] |
710.5387 | Expansion and hidden dimensions in a new cosmological model | In this paper, we present a new cosmological model using fractal manifold. We
prove that a space defined by this kind of manifold is an expanding space. This
model provides us with consistent arguments pertaining to the relationship
between variation of geometry and movement of matter. This study leads to the
existence of new fundamental principles. A clear picture is then portrayed
about the expansion of the universe represented by fractal manifold.
| physics.gen-ph | in this paper we present a new cosmological model using fractal manifold we prove that a space defined by this kind of manifold is an expanding space this model provides us with consistent arguments pertaining to the relationship between variation of geometry and movement of matter this study leads to the existence of new fundamental principles a clear picture is then portrayed about the expansion of the universe represented by fractal manifold | [['in', 'this', 'paper', 'we', 'present', 'a', 'new', 'cosmological', 'model', 'using', 'fractal', 'manifold', 'we', 'prove', 'that', 'a', 'space', 'defined', 'by', 'this', 'kind', 'of', 'manifold', 'is', 'an', 'expanding', 'space', 'this', 'model', 'provides', 'us', 'with', 'consistent', 'arguments', 'pertaining', 'to', 'the', 'relationship', 'between', 'variation', 'of', 'geometry', 'and', 'movement', 'of', 'matter', 'this', 'study', 'leads', 'to', 'the', 'existence', 'of', 'new', 'fundamental', 'principles', 'a', 'clear', 'picture', 'is', 'then', 'portrayed', 'about', 'the', 'expansion', 'of', 'the', 'universe', 'represented', 'by', 'fractal', 'manifold']] | [-0.11808689571140955, 0.06940493497131683, -0.15880784393650377, 0.08835821259546922, -0.11653363497720824, -0.05932765457287638, 0.04215488771054273, 0.32460843463842237, -0.2780438713731807, -0.2973740419450526, 0.05638018645469048, -0.21386464558438295, -0.20118842382604876, 0.15030027175089344, -0.08880125052787156, -0.03804436889347724, 0.007196578759855281, 0.024780308885965496, -0.08152094645710248, -0.18465376883978024, 0.4388745926165332, 0.05474993282566882, 0.23358830404726583, 0.028648144971359417, 0.1388724437371517, -0.04127132117153249, -0.044753725006659, 0.06257047095358656, -0.1917757397852458, 0.20976876387269133, 0.1583070199283409, 0.15809119370856528, 0.2545209020220985, -0.40125244586831993, -0.24352332658600062, 0.10476865756532384, 0.14570075869818944, 0.08706990461541864, -0.03827935315267597, -0.28801760268915033, 0.061366560815561876, -0.14071069963069427, -0.1978771963622421, -0.09725403530885363, 0.003494371065042085, -0.05914180743598586, -0.20754592852770454, 0.0916760354432174, 0.054581871540803045, 0.05130239591623346, -0.0959070219178102, -0.006844610118100213, 0.03586817520489502, 0.11433688557655033, 0.0545041614839445, 0.06516902764107929, 0.06231540779117495, -0.05727192912147277, -0.11275098414625973, 0.39018497502224314, -0.07722565944358292, -0.2004754908589853, 0.16439960988807595, -0.16331082089648893, -0.14197825311890078, 0.092776148643073, 0.15665687228708217, 0.08666719416052932, -0.15526444683524054, 0.1072463866237538, -0.0899588789519233, 0.1665908016471399, 0.04733792177608444, -0.009754815028928634, 0.2194554589999219, 0.23825271155348876, 0.07694723561871797, 0.14913024230756694, -0.017796612474032573, -0.11387805661393537, -0.36858507520001793, -0.19450927895700765, -0.1788290541541452, 0.09716616226877603, -0.12320502391452869, -0.18208712387260878, 0.40423595179648447, 0.1338284003884635, 0.23770190615646747, 0.04268376402453416, 0.24275106781472763, 0.06950314751722747, -0.013126086314312287, 0.05882769257813278, 0.21043803038386008, 0.14716536009089193, 0.1085432522619764, -0.15074610853076187, 0.03148252159331201, 0.0923136111555828] |
710.5388 | Hybrid neutron stars within the Nambu-Jona-Lasinio model and confinement | Recently, it has been shown that the standard Nambu-Jona-Lasinio (NJL) model
is not able to reproduce the correct QCD behavior of the gap equation at large
density, and therefore a different cutoff procedure at large momenta has ben
proposed. We found that, even with this density dependent cutoff procedure, the
pure quark phase in neutron stars (NS) interiors is unstable, and we argue that
this could be related to the lack of confinement in the original NJL model.
| hep-ph astro-ph nucl-th | recently it has been shown that the standard nambujonalasinio njl model is not able to reproduce the correct qcd behavior of the gap equation at large density and therefore a different cutoff procedure at large momenta has ben proposed we found that even with this density dependent cutoff procedure the pure quark phase in neutron stars ns interiors is unstable and we argue that this could be related to the lack of confinement in the original njl model | [['recently', 'it', 'has', 'been', 'shown', 'that', 'the', 'standard', 'nambujonalasinio', 'njl', 'model', 'is', 'not', 'able', 'to', 'reproduce', 'the', 'correct', 'qcd', 'behavior', 'of', 'the', 'gap', 'equation', 'at', 'large', 'density', 'and', 'therefore', 'a', 'different', 'cutoff', 'procedure', 'at', 'large', 'momenta', 'has', 'ben', 'proposed', 'we', 'found', 'that', 'even', 'with', 'this', 'density', 'dependent', 'cutoff', 'procedure', 'the', 'pure', 'quark', 'phase', 'in', 'neutron', 'stars', 'ns', 'interiors', 'is', 'unstable', 'and', 'we', 'argue', 'that', 'this', 'could', 'be', 'related', 'to', 'the', 'lack', 'of', 'confinement', 'in', 'the', 'original', 'njl', 'model']] | [-0.03278679857836463, 0.19722790081346503, -0.17345079322321674, 0.12924040144739243, -0.08715553572162604, -0.12344317670123509, 0.022827116056130484, 0.3762038874033934, -0.17153851635372028, -0.2974917803150721, 0.03483312959388758, -0.24167399581235188, -0.07249301063609145, 0.07064094741601878, -0.047370622447954536, 0.06739716874196744, 0.034627177683899224, 0.026386401084705424, -0.08907692451388217, -0.2346978536523425, 0.31254774384582656, 0.057284934380545445, 0.2837503157460537, 0.10854375273442994, 0.061434807924505994, -0.06314696671847159, 0.028862866692436047, 0.029366040996347483, -0.09979000611024393, -0.012161489552221237, 0.22286911645698218, 0.044001337340794124, 0.1922773791817375, -0.3762702857239697, -0.28998487059158295, 0.1066934205711079, 0.15283910812547383, 0.14706992855271658, -0.015028069645408183, -0.24660548656128156, 0.12856344010633153, -0.23022880027882564, -0.1786485166193392, -0.11447147599970683, 0.0428105629562663, -0.04910066559349593, -0.2707668251883334, 0.08622186623762947, 0.031126540082578476, -0.030331224752351258, -0.04173247114970134, -0.14524799799069, -0.033362360790562935, 0.03940803393384275, 0.10193454198694478, 0.09504017259519643, 0.0880417882417066, -0.13309086438340062, -0.04631640507469479, 0.3789312085375572, -0.07514262156417736, -0.14758958825722146, 0.19899030642297405, -0.18889948643911153, -0.14777778117105556, 0.12961763160255474, 0.10252386323200205, 0.11866352560882194, -0.17863371824988952, 0.12094583735317709, -0.04939263501765732, 0.1929198742056122, 0.06996642214317735, -0.011396917054811731, 0.2368091719272809, 0.20100814117438112, -0.020019241871360022, 0.09119553671618445, -0.07874494681630331, -0.11991108014272192, -0.31862031205748326, -0.06236071364046671, -0.1754810637048183, 0.010089005000526622, -0.08068363212059455, -0.15451221186063216, 0.3643550837102036, 0.18607144835046852, 0.17614667899070832, 0.009245930191798087, 0.2670958223394476, 0.16460800056348746, 0.13122950826446192, 0.109449353069067, 0.303379931105062, 0.1623494132565191, 0.1391122587120686, -0.2952645201689731, 0.03903224023106771, 0.05411761215267082] |
710.5389 | Optically probing the fine structure of a single Mn atom in an InAs
quantum dot | We report on the optical spectroscopy of a single InAs/GaAs quantum dot (QD)
doped with a single Mn atom in a longitudinal magnetic field of a few Tesla.
Our findings show that the Mn impurity is a neutral acceptor state A^0 whose
effective spin J=1 is significantly perturbed by the QD potential and its
associated strain field. The spin interaction with photo-carriers injected in
the quantum dot is shown to be ferromagnetic for holes, with an effective
coupling constant of a few hundreds of micro-eV, but vanishingly small for
electrons.
| cond-mat.mtrl-sci | we report on the optical spectroscopy of a single inasgaas quantum dot qd doped with a single mn atom in a longitudinal magnetic field of a few tesla our findings show that the mn impurity is a neutral acceptor state a0 whose effective spin j1 is significantly perturbed by the qd potential and its associated strain field the spin interaction with photocarriers injected in the quantum dot is shown to be ferromagnetic for holes with an effective coupling constant of a few hundreds of microev but vanishingly small for electrons | [['we', 'report', 'on', 'the', 'optical', 'spectroscopy', 'of', 'a', 'single', 'inasgaas', 'quantum', 'dot', 'qd', 'doped', 'with', 'a', 'single', 'mn', 'atom', 'in', 'a', 'longitudinal', 'magnetic', 'field', 'of', 'a', 'few', 'tesla', 'our', 'findings', 'show', 'that', 'the', 'mn', 'impurity', 'is', 'a', 'neutral', 'acceptor', 'state', 'a0', 'whose', 'effective', 'spin', 'j1', 'is', 'significantly', 'perturbed', 'by', 'the', 'qd', 'potential', 'and', 'its', 'associated', 'strain', 'field', 'the', 'spin', 'interaction', 'with', 'photocarriers', 'injected', 'in', 'the', 'quantum', 'dot', 'is', 'shown', 'to', 'be', 'ferromagnetic', 'for', 'holes', 'with', 'an', 'effective', 'coupling', 'constant', 'of', 'a', 'few', 'hundreds', 'of', 'microev', 'but', 'vanishingly', 'small', 'for', 'electrons']] | [-0.17325357436849217, 0.2448329010630712, 0.05799126826847593, 0.00292650030589559, 0.03706119348191553, -0.24759585168730053, 0.05522761183092371, 0.4119148770968119, -0.2392023735265765, -0.30682765526386596, -0.020192826257294252, -0.34074021370874513, -0.04220729639701959, 0.20714626850353346, 0.0784733333107498, -0.020375189775626898, 0.03698686466862758, 0.05698159656797846, -0.05506555110785282, -0.20597509193078925, 0.2846626390599542, 0.010918317784348295, 0.22384927466046065, 0.10712171919229958, 0.07865018461210033, 0.010061285111846195, 0.18004984790459275, 0.020655791378683515, -0.08562277924154639, 0.10807648520502779, 0.1877136759104259, -0.10472167996793158, 0.27491673013816276, -0.44398573902953004, -0.16674108219384734, -0.011691218645622333, 0.16518858443790427, 0.20237207172645463, -0.12675142883866405, -0.3051466938522127, 0.03261928293440077, -0.1596105165262189, -0.09063522188096411, -0.027687079231772157, 0.02073273303038958, 0.008192893734020698, -0.2886567967219485, 0.07314497097589386, 0.04860873612213052, 0.03660519108978204, -0.07952172689320934, -0.0768653453896857, -0.0358268704963848, 0.045162062290021114, 0.010945549265791972, 0.12049019987074037, 0.243197112928869, -0.11193855911389822, -0.12848805706534122, 0.32926888712164426, -0.13510406122853358, -0.1469252156611118, 0.1215300333686173, -0.23916159033154447, -0.038567620148468346, 0.16358855271504985, 0.08830285849463608, 0.14214405462973648, -0.12304592604955865, 0.12309159030814448, 0.0037511341222044494, 0.2310807376065188, -0.006739773634924657, 0.09984175560271574, 0.27526623254848853, 0.17783725323776403, 0.048889767745923664, 0.13241956028957955, -0.16104089239832117, -0.06036758670945548, -0.20430579752557806, -0.20153752374462783, -0.26819564043026833, 0.18146582334302366, -0.1022561227849413, -0.18498896549863275, 0.4212947153382831, 0.10189636699546503, 0.180520339227385, -0.06656346702948213, 0.24780142041551395, 0.13033743124688044, 0.09072130928592136, 0.013429505372833874, 0.29122510264731116, 0.2096224172687572, 0.10328049841336906, -0.3118201837926689, -0.018149906438257958, -0.0694512965144693] |
710.539 | A pulsed Sagnac source of narrowband polarization-entangled photons | We demonstrate pulsed operation of a bidirectionally pumped polarization
Sagnac interferometric down-conversion source and its generation of narrowband,
high-visibility polarization-entangled photons. Driven by a narrowband,
mode-locked pump at 390.35 nm, the phase-stable Sagnac source with a type-II
phase-matched periodically poled KTiOPO$_4$ crystal is capable of producing
0.01 entangled pair per pulse in a 0.15-nm bandwidth centered at 780.7 nm with
1 mW of average pump power at a repetition rate of 31.1 MHz. We have achieved a
mean photon-pair generation rate of as high as 0.7 pair per pulse, at which
multi-pair events dominate and significantly reduce the two-photon
quantum-interference visibility. For low generation probability $\alpha$, the
reduced visibility $V=1-\alpha$ is independent of the throughput efficiency and
of the polarization analysis basis, which can be utilized to yield an accurate
estimate of the generation rate $\alpha$. At low $\alpha$ we have characterized
the source entanglement quality in three different ways: average
quantum-interference visibility of 99%, the Clauser-Horne-Shimony-Holt $S$
parameter of $2.739 \pm 0.119$, and quantum state tomography with 98.85%
singlet-state fidelity. The narrowband pulsed Sagnac source of entangled
photons is suitable for use in quantum information processing applications such
as free-space quantum key distribution.
| quant-ph | we demonstrate pulsed operation of a bidirectionally pumped polarization sagnac interferometric downconversion source and its generation of narrowband highvisibility polarizationentangled photons driven by a narrowband modelocked pump at 39035 nm the phasestable sagnac source with a typeii phasematched periodically poled ktiopo_4 crystal is capable of producing 001 entangled pair per pulse in a 015nm bandwidth centered at 7807 nm with 1 mw of average pump power at a repetition rate of 311 mhz we have achieved a mean photonpair generation rate of as high as 07 pair per pulse at which multipair events dominate and significantly reduce the twophoton quantuminterference visibility for low generation probability alpha the reduced visibility v1alpha is independent of the throughput efficiency and of the polarization analysis basis which can be utilized to yield an accurate estimate of the generation rate alpha at low alpha we have characterized the source entanglement quality in three different ways average quantuminterference visibility of 99 the clauserhorneshimonyholt s parameter of 2739 pm 0119 and quantum state tomography with 9885 singletstate fidelity the narrowband pulsed sagnac source of entangled photons is suitable for use in quantum information processing applications such as freespace quantum key distribution | [['we', 'demonstrate', 'pulsed', 'operation', 'of', 'a', 'bidirectionally', 'pumped', 'polarization', 'sagnac', 'interferometric', 'downconversion', 'source', 'and', 'its', 'generation', 'of', 'narrowband', 'highvisibility', 'polarizationentangled', 'photons', 'driven', 'by', 'a', 'narrowband', 'modelocked', 'pump', 'at', '39035', 'nm', 'the', 'phasestable', 'sagnac', 'source', 'with', 'a', 'typeii', 'phasematched', 'periodically', 'poled', 'ktiopo_4', 'crystal', 'is', 'capable', 'of', 'producing', '001', 'entangled', 'pair', 'per', 'pulse', 'in', 'a', '015nm', 'bandwidth', 'centered', 'at', '7807', 'nm', 'with', '1', 'mw', 'of', 'average', 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710.5391 | The soft and the hard pomerons: elastic scattering and unitarisation | The hard pomeron component needed to reproduce small-x data seems to be
present in elastic scattering at moderate energy. If this is the case, it is
likely that the total cross section at the LHC will be appreciably larger than
previously expected.
| hep-ph | the hard pomeron component needed to reproduce smallx data seems to be present in elastic scattering at moderate energy if this is the case it is likely that the total cross section at the lhc will be appreciably larger than previously expected | [['the', 'hard', 'pomeron', 'component', 'needed', 'to', 'reproduce', 'smallx', 'data', 'seems', 'to', 'be', 'present', 'in', 'elastic', 'scattering', 'at', 'moderate', 'energy', 'if', 'this', 'is', 'the', 'case', 'it', 'is', 'likely', 'that', 'the', 'total', 'cross', 'section', 'at', 'the', 'lhc', 'will', 'be', 'appreciably', 'larger', 'than', 'previously', 'expected']] | [-0.02145482397948702, 0.1888370359305381, -0.13589757216340376, 0.18263514146175502, -0.08255273227890332, -0.09756544267847425, -0.04815816125899021, 0.3655787867804368, -0.23505201771677958, -0.29749788175381364, 0.04009651373572914, -0.33330924177010146, -0.009367930325381513, 0.15582953264848107, 0.016101096113700242, 0.014779272511424054, 0.1005114354414954, 0.04228719935885498, 0.023553908497671642, -0.28134290709914195, 0.31220588451694875, 0.1479669365521875, 0.21925302510637612, 0.17004716543791196, -0.020650097099687195, 0.04123997437168977, 0.01397685609048321, -0.024119511690168155, -0.10564902735894152, 0.0509716754867917, 0.3412358046542587, -0.0006590767187022028, 0.11625614999571726, -0.4032457105460621, -0.1136610298639252, 0.16091790367361336, 0.17338272148654574, 0.1037937095832257, 0.09609567564690397, -0.15174554995194608, 0.12872748083568045, -0.195810649632698, -0.19132916334395608, -0.03700447602507969, 0.051923952176279965, -0.07576246690448551, -0.27159377923678785, 0.07738243035661678, -0.04324446380182746, -0.0754135867935561, -0.026480075903236866, -0.15504379639224636, -0.058102361841260323, -0.017197181182425646, 0.11237517211009704, 0.1219578897358761, 0.1587016647681594, -0.16060944754696851, -0.03945225672352882, 0.38738106146809603, 0.013773382866929751, -0.1349283591178911, 0.16040274724807768, -0.2451548913848542, -0.14887538073872703, 0.2685665698455913, 0.1726019714205038, 0.08158144121435248, -0.1844983722909265, 0.05262853683061188, -0.009711001503525213, 0.23075261202064298, 0.04987267932544152, 0.006546899421317946, 0.18871342153510168, 0.1941971689285267, 0.06768358314764641, 0.08712143729817831, -0.14132515314434255, -0.0439450264952722, -0.3780541284275906, -0.05171714944853669, -0.13000947887831854, 0.07902417280932977, -0.06370414150989659, -0.04919068847915956, 0.258708949200809, 0.13966430368877591, 0.23584885338676118, 0.04742426161898211, 0.3636362635131393, 0.20252040303533986, 0.18270434106567077, 0.11388170959738393, 0.39431393918182167, 0.09464279371535494, 0.1829709505795368, -0.19165105781229658, 0.1364292927707235, -0.042022485297084564] |
710.5392 | On attributes of a Rotating Neutron star with a Hyperon core | We study the effect of rotation on global properties of neutron star with a
hyperon core in an effective chiral model with varying nucleon effective mass
within a mean field approach. The resulting gross properties of the rotating
compact star sequences are then compared and analyzed with other theoretical
predictions and observations from neutron stars. The maximum mass of the
compact star predicted by the model lies in the range $(1.4-2.4) ~M_{\odot}$ at
Kepler frequency $\Omega_K$, which is consistant with recent observation of
high mass stars thereby reflecting the sensitivity of the underlying nucleon
effective mass in the dense matter EoS. We also discuss the implications of the
experimental constraints from the flow data from heavy-ion collisions on the
global properties of the rotating neutron stars.
| nucl-th | we study the effect of rotation on global properties of neutron star with a hyperon core in an effective chiral model with varying nucleon effective mass within a mean field approach the resulting gross properties of the rotating compact star sequences are then compared and analyzed with other theoretical predictions and observations from neutron stars the maximum mass of the compact star predicted by the model lies in the range 1424 m_odot at kepler frequency omega_k which is consistant with recent observation of high mass stars thereby reflecting the sensitivity of the underlying nucleon effective mass in the dense matter eos we also discuss the implications of the experimental constraints from the flow data from heavyion collisions on the global properties of the rotating neutron stars | [['we', 'study', 'the', 'effect', 'of', 'rotation', 'on', 'global', 'properties', 'of', 'neutron', 'star', 'with', 'a', 'hyperon', 'core', 'in', 'an', 'effective', 'chiral', 'model', 'with', 'varying', 'nucleon', 'effective', 'mass', 'within', 'a', 'mean', 'field', 'approach', 'the', 'resulting', 'gross', 'properties', 'of', 'the', 'rotating', 'compact', 'star', 'sequences', 'are', 'then', 'compared', 'and', 'analyzed', 'with', 'other', 'theoretical', 'predictions', 'and', 'observations', 'from', 'neutron', 'stars', 'the', 'maximum', 'mass', 'of', 'the', 'compact', 'star', 'predicted', 'by', 'the', 'model', 'lies', 'in', 'the', 'range', '1424', 'm_odot', 'at', 'kepler', 'frequency', 'omega_k', 'which', 'is', 'consistant', 'with', 'recent', 'observation', 'of', 'high', 'mass', 'stars', 'thereby', 'reflecting', 'the', 'sensitivity', 'of', 'the', 'underlying', 'nucleon', 'effective', 'mass', 'in', 'the', 'dense', 'matter', 'eos', 'we', 'also', 'discuss', 'the', 'implications', 'of', 'the', 'experimental', 'constraints', 'from', 'the', 'flow', 'data', 'from', 'heavyion', 'collisions', 'on', 'the', 'global', 'properties', 'of', 'the', 'rotating', 'neutron', 'stars']] | [-0.05932938582855203, 0.1844487725952243, -0.09258515308777403, 0.07759428211018472, -0.0948458882492213, 0.003057345542834983, 0.049935586927902134, 0.33351778817023076, -0.17013936818000816, -0.34166668811517337, 0.04586527146129233, -0.2935730471674885, -0.011269043107324886, 0.18531005599329042, -0.011076558081965362, 0.043167618631813974, 0.09245685116195726, 0.09217607810546363, -0.1177131821593595, -0.18188372963858354, 0.37377554464933743, 0.06402081070053908, 0.19233669206086132, 0.03957696479194546, 0.049632234956204356, -0.04409769314732994, -0.028903948490522684, -0.01705366913377056, -0.18151025890210082, 0.07213195773892082, 0.172807961055595, 0.11365377152660153, 0.1543383941863708, -0.39289535239102347, -0.2255395292895772, 0.05520867385221497, 0.11390647017637208, 0.08393206704862505, -0.10196912188326851, -0.289902062535042, 0.08765404901304652, -0.21257568888425354, -0.1760831045925558, -0.018245808957588105, 0.039621828878778846, 0.0736033763341044, -0.26450558346770114, 0.11715713100016324, 0.022414070391465746, 0.03803062422449575, -0.15134667524410086, -0.14771358001725896, -0.06683126139031383, 0.040312040722855026, 0.0903630980016989, 0.08867649845076754, 0.1546825382910255, -0.1923734919946005, -0.03089577562382652, 0.4161698631942272, -0.08843526921220242, -0.0989754504731132, 0.15364420187053462, -0.21034088388957556, -0.14795252190725433, 0.10404185690207496, 0.18550571787405745, 0.1484243006829823, -0.1594579550991988, 0.02801959148500972, -0.04032792593722069, 0.1874378897270025, 0.043397869402912286, 0.061104885073349116, 0.33494855825685793, 0.2405195437234989, -0.013494657171476219, 0.05455721962858834, -0.18517728610470566, -0.08465702932268854, -0.2556534680087001, -0.04407719820081848, -0.13705734785513154, 0.03973373928521243, -0.17127284953451072, -0.06991687844625659, 0.3758733452164701, 0.09769891576272333, 0.21384149880725004, 0.022483439488698624, 0.3051597484986165, 0.08642611253104868, 0.06171601855968465, 0.10500791660391741, 0.31847838680481627, 0.2496390116330798, 0.09239801511700664, -0.3181968237705795, 0.01614038110433501, -0.003921295338798137] |
710.5393 | Quiet Sun Magnetic Field Measurements Based on Lines with Hyperfine
Structure | The Zeeman pattern of MnI lines is sensitive to hyperfine structure (HFS)
and, they respond to hG magnetic field strengths differently from the lines
used in solar magnetometry. This peculiarity has been employed to measure
magnetic field strengths in quiet Sun regions. However, the methods applied so
far assume the magnetic field to be constant in the resolution element. The
assumption is clearly insufficient to describe the complex quiet Sun magnetic
fields, biasing the results of the measurements. We present the first syntheses
of MnI lines in realistic quiet Sun model atmospheres. The syntheses show how
the MnI lines weaken with increasing field strength. In particular, kG magnetic
concentrations produce NnI 5538 circular polarization signals (Stokes V) which
can be up to two orders of magnitude smaller than the weak magnetic field
approximation prediction. Consequently, (1) the polarization emerging from an
atmosphere having weak and strong fields is biased towards the weak fields, and
(2) HFS features characteristic of weak fields show up even when the magnetic
flux and energy are dominated by kG fields. For the HFS feature of MnI 5538 to
disappear the filling factor of kG fields has to be larger than the filling
factor of sub-kG fields. Stokes V depends on magnetic field inclination
according to the simple consine law. Atmospheres with unresolved velocities
produce asymmetric line profiles, which cannot be reproduced by simple
one-component model atmospheres. The uncertainty of the HFS constants do not
limit the use of MnI lines for magnetometry.
| astro-ph | the zeeman pattern of mni lines is sensitive to hyperfine structure hfs and they respond to hg magnetic field strengths differently from the lines used in solar magnetometry this peculiarity has been employed to measure magnetic field strengths in quiet sun regions however the methods applied so far assume the magnetic field to be constant in the resolution element the assumption is clearly insufficient to describe the complex quiet sun magnetic fields biasing the results of the measurements we present the first syntheses of mni lines in realistic quiet sun model atmospheres the syntheses show how the mni lines weaken with increasing field strength in particular kg magnetic concentrations produce nni 5538 circular polarization signals stokes v which can be up to two orders of magnitude smaller than the weak magnetic field approximation prediction consequently 1 the polarization emerging from an atmosphere having weak and strong fields is biased towards the weak fields and 2 hfs features characteristic of weak fields show up even when the magnetic flux and energy are dominated by kg fields for the hfs feature of mni 5538 to disappear the filling factor of kg fields has to be larger than the filling factor of subkg fields stokes v depends on magnetic field inclination according to the simple consine law atmospheres with unresolved velocities produce asymmetric line profiles which cannot be reproduced by simple onecomponent model atmospheres the uncertainty of the hfs constants do not limit the use of mni lines for magnetometry | [['the', 'zeeman', 'pattern', 'of', 'mni', 'lines', 'is', 'sensitive', 'to', 'hyperfine', 'structure', 'hfs', 'and', 'they', 'respond', 'to', 'hg', 'magnetic', 'field', 'strengths', 'differently', 'from', 'the', 'lines', 'used', 'in', 'solar', 'magnetometry', 'this', 'peculiarity', 'has', 'been', 'employed', 'to', 'measure', 'magnetic', 'field', 'strengths', 'in', 'quiet', 'sun', 'regions', 'however', 'the', 'methods', 'applied', 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0.011206751848620019] |
710.5394 | Cosmological equations and Thermodynamics on Apparent Horizon in Thick
Braneworld | We derive the generalized Friedmann equation governing the cosmological
evolution inside the thick brane model in the presence of two curvature
correction terms: a four-dimensional scalar curvature from induced gravity on
the brane, and a five-dimensional Gauss-Bonnet curvature term. We find two
effective four-dimensional reductions of the Friedmann equation in some limits
and demonstrate that they can be rewritten as the first law of thermodynamics
on the apparent horizon of thick braneworld.
| hep-th | we derive the generalized friedmann equation governing the cosmological evolution inside the thick brane model in the presence of two curvature correction terms a fourdimensional scalar curvature from induced gravity on the brane and a fivedimensional gaussbonnet curvature term we find two effective fourdimensional reductions of the friedmann equation in some limits and demonstrate that they can be rewritten as the first law of thermodynamics on the apparent horizon of thick braneworld | [['we', 'derive', 'the', 'generalized', 'friedmann', 'equation', 'governing', 'the', 'cosmological', 'evolution', 'inside', 'the', 'thick', 'brane', 'model', 'in', 'the', 'presence', 'of', 'two', 'curvature', 'correction', 'terms', 'a', 'fourdimensional', 'scalar', 'curvature', 'from', 'induced', 'gravity', 'on', 'the', 'brane', 'and', 'a', 'fivedimensional', 'gaussbonnet', 'curvature', 'term', 'we', 'find', 'two', 'effective', 'fourdimensional', 'reductions', 'of', 'the', 'friedmann', 'equation', 'in', 'some', 'limits', 'and', 'demonstrate', 'that', 'they', 'can', 'be', 'rewritten', 'as', 'the', 'first', 'law', 'of', 'thermodynamics', 'on', 'the', 'apparent', 'horizon', 'of', 'thick', 'braneworld']] | [-0.15648466956594753, 0.0932438061831312, -0.10174625958057328, 0.12004331891269733, -0.12855202220897707, -0.14272751445726803, -0.0896979725932599, 0.24427594715315434, -0.2107172039460339, -0.2960243410586069, 0.07299749133461672, -0.2863294745717819, -0.12985707987617287, 0.1306090054050502, -0.06810219955837561, -0.011499821615871042, -0.05919663640411778, 0.03588385101304286, -0.06910969197148613, -0.25688721431005335, 0.41913539842547226, 0.011851162611795493, 0.2283452964361964, 0.056239557892291084, 0.15852745547373262, -0.10473679002865942, 0.014711007411177788, 0.09692420277537571, -0.2185105819602945, 0.053872862882498235, 0.1302328513508352, 0.04713755348671435, 0.13940756170389554, -0.4491195577817659, -0.2999210631326908, 0.08078903228225601, 0.17672741576097906, 0.18348951785851064, -0.04122365755352399, -0.29147753037977964, -0.006476022872245974, -0.18785328584231642, -0.16614100884180516, -0.026666833165412147, -0.01847316852460305, -0.11466043270451741, -0.1611067559570074, 0.14144991137557858, 0.05357833963353187, -0.062125411285604865, -0.15863435707675913, -0.054170769561703004, -0.07193130457017105, 0.036491769773419946, 0.13637606858295234, -0.022470853705373075, 0.1374957635610675, -0.15626494567631097, -0.07338280071821322, 0.3916772181271679, -0.2239125678445109, -0.28034410394159043, 0.033806731917947114, -0.14781547315780902, -0.07943316019373015, 0.05152279524029129, 0.1481180570812689, 0.18467635281932518, -0.17808618725070524, 0.233507329117856, 0.032050243889292084, 0.13805782261705543, 0.16062080011599594, 0.0246728919317118, 0.30282703190783244, 0.07796695098901789, 0.004839666498204072, 0.15251551700283825, -0.04072098126764306, -0.1705023344515616, -0.4695706440963679, -0.1844183470109581, -0.11794619735074877, 0.14827441778551373, -0.2863717600699197, -0.19488567762568387, 0.32326941321500474, 0.08772763580782339, 0.1298374936126897, 0.06376102809897727, 0.2357265906304949, 0.10221417583104792, 0.04420980587342961, 0.10968624940788788, 0.32682024684496963, 0.14022457619042447, 0.12801226247554748, -0.29766194823443787, -0.08830564654716808, 0.15312164670063388] |
710.5395 | Cyclotron motion and magnetic focusing in semiconductor quantum wells
with spin-orbit coupling | We investigate the ballistic motion of electrons in III-V semiconductor
quantum wells with Rashba spin-orbit coupling in a perpendicular magnetic
field. Taking into account the full quantum dynamics of the problem, we explore
the modifications of classical cyclotron orbits due to spin-orbit interaction.
As a result, for electron energies comparable with the cyclotron energy the
dynamics are particularly rich and not adequately described by semiclassical
approximations. Our study is complementary to previous semiclassical approaches
concentrating on the regime of weaker fields.
| cond-mat.mes-hall | we investigate the ballistic motion of electrons in iiiv semiconductor quantum wells with rashba spinorbit coupling in a perpendicular magnetic field taking into account the full quantum dynamics of the problem we explore the modifications of classical cyclotron orbits due to spinorbit interaction as a result for electron energies comparable with the cyclotron energy the dynamics are particularly rich and not adequately described by semiclassical approximations our study is complementary to previous semiclassical approaches concentrating on the regime of weaker fields | [['we', 'investigate', 'the', 'ballistic', 'motion', 'of', 'electrons', 'in', 'iiiv', 'semiconductor', 'quantum', 'wells', 'with', 'rashba', 'spinorbit', 'coupling', 'in', 'a', 'perpendicular', 'magnetic', 'field', 'taking', 'into', 'account', 'the', 'full', 'quantum', 'dynamics', 'of', 'the', 'problem', 'we', 'explore', 'the', 'modifications', 'of', 'classical', 'cyclotron', 'orbits', 'due', 'to', 'spinorbit', 'interaction', 'as', 'a', 'result', 'for', 'electron', 'energies', 'comparable', 'with', 'the', 'cyclotron', 'energy', 'the', 'dynamics', 'are', 'particularly', 'rich', 'and', 'not', 'adequately', 'described', 'by', 'semiclassical', 'approximations', 'our', 'study', 'is', 'complementary', 'to', 'previous', 'semiclassical', 'approaches', 'concentrating', 'on', 'the', 'regime', 'of', 'weaker', 'fields']] | [-0.16843949546922504, 0.15766299180226562, -0.03327588648477822, 0.10944113201019066, -0.03225285098830491, -0.1563107141144114, -0.021199571468901855, 0.3624157432558728, -0.24736940082921474, -0.28973934509687954, -0.05387747086394854, -0.2585714866499198, -0.06997001120521698, 0.2451727640941555, 0.026917561813959, 0.01821180134091848, 0.04472730360511276, -0.04868341550478183, -0.06729056899447317, -0.17444498914604387, 0.3099855649296516, 0.049741298566790826, 0.25064317595765545, 0.08385612538521305, 0.04063863761401103, 0.04078502058235491, 0.10166171149431187, 0.022062462513093597, -0.15567750461618013, 0.07484190689003165, 0.2009131964878179, -0.10508516387163121, 0.25639364029637274, -0.49546102057556035, -0.23376569128307848, -0.014076817636291875, 0.15657221623064008, 0.18424505880677405, -0.04173985733736858, -0.3320035117155194, 0.0035615813610126714, -0.1527451176115852, -0.11975452658593838, -0.06313256185823753, -0.01832335170812583, 0.0299457959043161, -0.21850481365496913, 0.0674319887895965, 0.10832798012595532, 0.025124813613976227, -0.0980975912814891, -0.07242746985184005, 0.024772254517301917, 0.07327653112372866, 0.07288760668598115, 0.028235810679487057, 0.16287664691400197, -0.12708810693871828, -0.14291970829916312, 0.43516827314908124, -0.0925417095652701, -0.1705571607640588, 0.18977958146183763, -0.23308313704084282, -0.04785574805336418, 0.14757543291758607, 0.16293528061331375, 0.09492376434651238, -0.14453013421806657, 0.17934951913928582, 0.010694994890119559, 0.09988046290329945, -7.360114106609498e-05, 0.10513641734831725, 0.26951334441517605, 0.15927322157716126, 0.01592071319895762, 0.09647188934118107, -0.11452149483375251, -0.14171278292750134, -0.21683036986692453, -0.12855412611266437, -0.21496162290489415, 0.1117977018981531, -0.03380427008798708, -0.18265059223559535, 0.41698868296764513, 0.17089131021265652, 0.16673810270695408, -0.04549110885479568, 0.3136943756936141, 0.16321106691108903, 0.061127765684814, 0.040661899016503196, 0.3165327516775348, 0.21290241804169377, 0.07385951853759679, -0.31832202676292737, -0.003379502945959016, 0.026528721336091375] |
710.5396 | Gruenhage compacta and strictly convex dual norms | We prove that if K is a Gruenhage compact space then C(K)* admits an
equivalent, strictly convex dual norm. As a corollary, we show that if X is a
Banach space and X* is the |.|-closed linear span of K, where K is a Gruenhage
compact in the w*-topology and |.| is equivalent to a coarser, w*-lower
semicontinuous norm on X*, then X* admits an equivalent, strictly convex dual
norm. We give a partial converse to the first result by showing that if T is a
tree, then C(T)* admits an equivalent, strictly convex dual norm if and only if
T is a Gruenhage space. Finally, we present some stability properties satisfied
by Gruenhage spaces; in particular, Gruenhage spaces are stable under perfect
images.
| math.FA math.GN | we prove that if k is a gruenhage compact space then ck admits an equivalent strictly convex dual norm as a corollary we show that if x is a banach space and x is the closed linear span of k where k is a gruenhage compact in the wtopology and is equivalent to a coarser wlower semicontinuous norm on x then x admits an equivalent strictly convex dual norm we give a partial converse to the first result by showing that if t is a tree then ct admits an equivalent strictly convex dual norm if and only if t is a gruenhage space finally we present some stability properties satisfied by gruenhage spaces in particular gruenhage spaces are stable under perfect images | [['we', 'prove', 'that', 'if', 'k', 'is', 'a', 'gruenhage', 'compact', 'space', 'then', 'ck', 'admits', 'an', 'equivalent', 'strictly', 'convex', 'dual', 'norm', 'as', 'a', 'corollary', 'we', 'show', 'that', 'if', 'x', 'is', 'a', 'banach', 'space', 'and', 'x', 'is', 'the', 'closed', 'linear', 'span', 'of', 'k', 'where', 'k', 'is', 'a', 'gruenhage', 'compact', 'in', 'the', 'wtopology', 'and', 'is', 'equivalent', 'to', 'a', 'coarser', 'wlower', 'semicontinuous', 'norm', 'on', 'x', 'then', 'x', 'admits', 'an', 'equivalent', 'strictly', 'convex', 'dual', 'norm', 'we', 'give', 'a', 'partial', 'converse', 'to', 'the', 'first', 'result', 'by', 'showing', 'that', 'if', 't', 'is', 'a', 'tree', 'then', 'ct', 'admits', 'an', 'equivalent', 'strictly', 'convex', 'dual', 'norm', 'if', 'and', 'only', 'if', 't', 'is', 'a', 'gruenhage', 'space', 'finally', 'we', 'present', 'some', 'stability', 'properties', 'satisfied', 'by', 'gruenhage', 'spaces', 'in', 'particular', 'gruenhage', 'spaces', 'are', 'stable', 'under', 'perfect', 'images']] | [-0.1271332149825445, 0.13573604924317992, -0.09330464258309211, 0.09014387734942289, -0.08947075082640338, -0.15558316880397924, 0.018026069145483093, 0.44362344532235853, -0.3318463499710812, -0.07962752409218772, 0.14400739135879387, -0.2537595001652712, -0.14555973528384616, 0.1662717199301332, -0.15976046939092742, -0.039709643706891354, 0.05219527405906257, 0.1395992659698657, -0.15474134192487785, -0.30834921537254883, 0.37949667804367176, -0.0864773843195138, 0.16899423420853246, 0.06233116735778067, 0.18108140159307456, -0.023300846095946504, 0.08552518461611334, 0.10826589186638934, -0.19029097542883894, 0.0791484839472223, 0.2802791616508389, 0.1802274195829452, 0.2947141601121038, -0.30893112963247227, -0.14095822456330667, 0.20378124543912407, 0.07402513887188057, -0.0950790870313843, -0.026521691688094137, -0.23594040643211786, 0.1771085848501785, -0.05354582402491715, -0.08883498407658039, -0.1018354888187676, 0.10977113841771625, -0.03075962996004316, -0.35681494329942437, -0.0019788612740311196, 0.15365298698103524, 0.018482705496811892, -0.10012635548137189, -0.08063372012750222, -0.07891592340983027, -0.005587561816976565, -0.055575759202143464, 0.16171257181175439, 0.04459109989078185, -0.005532047726456228, -0.07633317132836313, 0.34524138679167604, -0.09898475619890477, -0.2550830155974481, 0.1339203428696629, -0.15822223597395468, -0.1328077174711791, 0.1611574319857589, 0.06456473431118377, 0.2185521718962648, -0.06834175109832995, 0.24797873955638322, -0.20837597355503984, 0.18015513940509864, 0.06808273095970716, 0.0545545907887986, 0.0798129285155697, 0.11712221462635429, 0.23085228727782162, 0.17788610831508792, 0.021703327924573447, 0.00852350301650633, -0.3625939531418366, -0.1851167526414118, -0.15809911195419699, 0.14644739398263334, -0.09307604699811568, -0.1416657099375365, 0.266067877309624, -0.001223196985381769, 0.1846736602984914, 0.1433096007875553, 0.24734598907028757, 0.09545673304559224, -0.027807467442944767, 0.14526040258824946, 0.14259851564642806, 0.17990315409861807, -0.04499665660995657, -0.12081137001400859, 0.012671967264173961, 0.18788186936237947] |
710.5397 | Ground-State Properties for Coupled Bose-Einstein Condensates inside a
Cavity Quantum Electrodynamics | We analytically investigate the ground-state properties of two-component
Bose-Einstein condensates with few ⁸⁷Rb atoms inside a high-quality
cavity quantum electrodynamics. In the SU(2) representation for atom, this
quantum system can be realized a generalized Dicke model with a quadratic term
arising from the interatomic interactions, which can be controlled
experimentally by Feshbach resonance technique. Moreover, this weak
interspecies interaction can give rise to an important zero-temperature quantum
phase transition from the normal to the superradiant phases, where the atomic
ensemble in the normal phase is collectively unexcited while is macroscopically
excited with coherent radiations in the superradiant phase. Finally, we propose
to observe this predicted quantum phase transition by measuring the direct and
striking signatures of the photon field in terms of a heterodyne detector out
of the cavity.
| quant-ph cond-mat.other | we analytically investigate the groundstate properties of twocomponent boseeinstein condensates with few 83128311rb atoms inside a highquality cavity quantum electrodynamics in the su2 representation for atom this quantum system can be realized a generalized dicke model with a quadratic term arising from the interatomic interactions which can be controlled experimentally by feshbach resonance technique moreover this weak interspecies interaction can give rise to an important zerotemperature quantum phase transition from the normal to the superradiant phases where the atomic ensemble in the normal phase is collectively unexcited while is macroscopically excited with coherent radiations in the superradiant phase finally we propose to observe this predicted quantum phase transition by measuring the direct and striking signatures of the photon field in terms of a heterodyne detector out of the cavity | [['we', 'analytically', 'investigate', 'the', 'groundstate', 'properties', 'of', 'twocomponent', 'boseeinstein', 'condensates', 'with', 'few', '83128311rb', 'atoms', 'inside', 'a', 'highquality', 'cavity', 'quantum', 'electrodynamics', 'in', 'the', 'su2', 'representation', 'for', 'atom', 'this', 'quantum', 'system', 'can', 'be', 'realized', 'a', 'generalized', 'dicke', 'model', 'with', 'a', 'quadratic', 'term', 'arising', 'from', 'the', 'interatomic', 'interactions', 'which', 'can', 'be', 'controlled', 'experimentally', 'by', 'feshbach', 'resonance', 'technique', 'moreover', 'this', 'weak', 'interspecies', 'interaction', 'can', 'give', 'rise', 'to', 'an', 'important', 'zerotemperature', 'quantum', 'phase', 'transition', 'from', 'the', 'normal', 'to', 'the', 'superradiant', 'phases', 'where', 'the', 'atomic', 'ensemble', 'in', 'the', 'normal', 'phase', 'is', 'collectively', 'unexcited', 'while', 'is', 'macroscopically', 'excited', 'with', 'coherent', 'radiations', 'in', 'the', 'superradiant', 'phase', 'finally', 'we', 'propose', 'to', 'observe', 'this', 'predicted', 'quantum', 'phase', 'transition', 'by', 'measuring', 'the', 'direct', 'and', 'striking', 'signatures', 'of', 'the', 'photon', 'field', 'in', 'terms', 'of', 'a', 'heterodyne', 'detector', 'out', 'of', 'the', 'cavity']] | [-0.14014352513186168, 0.2823528915806719, -0.07442508606118281, 0.037713582324613526, 0.010277671321091475, -0.17606116698152618, 0.05747080807304883, 0.36528906790772453, -0.2627361627382925, -0.24158531991997734, -0.01815671279837261, -0.27160841946442815, -0.1350696080526177, 0.15765512599682552, 0.04818499081193295, 0.050038073964969954, 0.016491844187839888, 0.01959589341095125, -0.08021240654488793, -0.16503717406158103, 0.3335194239989505, 0.013034405411417538, 0.2807977905977168, 0.054043868934968486, 0.0918953391847026, -0.03841886370901193, 0.13330871333891992, -0.028304258593379927, -0.1275752691872185, 0.05330390685048769, 0.2716985669326277, 0.0060805453395005316, 0.19717931786573217, -0.4381770200561732, -0.19093059925580746, 0.1277450333800516, 0.18231077917175753, 0.2279342622796321, -0.04045236528691021, -0.3935522326428327, -0.05315572719973716, -0.1878777491656365, -0.13494696071575163, -0.11866976870805956, -0.0401687027870139, -0.015664611563352082, -0.2507238477701321, 0.08089786114578601, 0.047632130720103305, 0.05516469105532451, -0.019380039264433435, 0.002280853476804623, 0.0400741306530108, 0.04418780082050944, -0.04458296672956408, 0.017213807617736165, 0.135242649504562, -0.15789022264198138, -0.11068555121164536, 0.39660060296591837, -0.12785552017203372, -0.11362469852974755, 0.16923729255177022, -0.15891565832691867, -0.013093970780573727, 0.15628854422811855, 0.12650845428288449, 0.0803960344492225, -0.13436542951967567, 0.05542069508419445, -0.029737375480181072, 0.19303066516295075, 0.04978672563447617, 0.09760223978810245, 0.27077353982895147, 0.127876191145333, 0.0017201009650307242, 0.2504615326815838, -0.0989605781287537, -0.16237836293657892, -0.2789301074844843, -0.15463843676661782, -0.21368471081950702, 0.0625380351111744, -0.046451461420133455, -0.16005446305280202, 0.3964347509026993, 0.1205574259865898, 0.19224697903700871, -0.07168378456026403, 0.2856767757148191, 0.16366738599390374, 0.03765507286880165, -0.02913042418367695, 0.3316757959255483, 0.15483609681177768, 0.05961716935598815, -0.31853463342486066, -0.008031502839003224, 0.04876171149589936] |
710.5398 | Characteristic varieties of nilpotent groups and applications | We compute the characteristic varieties and the Alexander polynomial of a
finitely generated nilpotent group. We show that the first characteristic
variety may be used to detect nilpotence. We use the Alexander polynomial to
deduce that the only torsion-free, finitely generated nilpotent groups with
positive deficiency are $\Z$ and $\Z^2$, extending a classical result on
nilpotent link groups.
| math.AT math.GT | we compute the characteristic varieties and the alexander polynomial of a finitely generated nilpotent group we show that the first characteristic variety may be used to detect nilpotence we use the alexander polynomial to deduce that the only torsionfree finitely generated nilpotent groups with positive deficiency are z and z2 extending a classical result on nilpotent link groups | [['we', 'compute', 'the', 'characteristic', 'varieties', 'and', 'the', 'alexander', 'polynomial', 'of', 'a', 'finitely', 'generated', 'nilpotent', 'group', 'we', 'show', 'that', 'the', 'first', 'characteristic', 'variety', 'may', 'be', 'used', 'to', 'detect', 'nilpotence', 'we', 'use', 'the', 'alexander', 'polynomial', 'to', 'deduce', 'that', 'the', 'only', 'torsionfree', 'finitely', 'generated', 'nilpotent', 'groups', 'with', 'positive', 'deficiency', 'are', 'z', 'and', 'z2', 'extending', 'a', 'classical', 'result', 'on', 'nilpotent', 'link', 'groups']] | [-0.19258476427308652, 0.08715918915474723, -0.12724089346312242, 0.06547939006624551, -0.15186566050196515, -0.1733948704465453, -0.0731555621685653, 0.3824491913847882, -0.4058567189194005, -0.2010211468320982, 0.09275453557974883, -0.2034332807785992, -0.13474034575809693, 0.235538650440566, -0.1226878903549293, -0.08271331691729097, 0.005657078433332258, 0.10047711656782134, -0.06529331749208786, -0.374122467116806, 0.4024454666430066, -0.07527881693737261, 0.17088521721548047, 0.03381361317788732, 0.11543588184526768, -0.03128403027798852, -0.08798995079344203, -0.027123962882263906, -0.12576323263633168, 0.09695429801298626, 0.32198886175093977, 0.0375907014381012, 0.17946728518040017, -0.3207755065332408, -0.11650430997191318, 0.3159421484451741, 0.15106545289946272, 0.024808367232567276, -0.09564148393461626, -0.26757917280212556, 0.20244062332243756, -0.23592345380416974, -0.18370877299457788, -0.07808745439678173, 0.050241997802694296, 0.025240266824076915, -0.19077709467342957, 0.009156483779500785, 0.05052993076468079, 0.14346879667698823, -0.0022376927081495523, -0.062364729251541955, -0.06303449646280758, 0.1010767125267664, -0.022468049572941302, -0.006358768584222758, 0.15461662736849796, -0.0360967874595221, -0.1776531065075562, 0.3803120987682507, -0.09371782987025278, -0.17985281088100424, 0.21791236267971067, -0.23773345829726295, -0.21881178606719034, 0.16176054446861662, 0.08208009200812928, 0.16799816200188522, 0.04287488665431738, 0.166560562775101, -0.17675403393162736, 0.07981729741882661, 0.11253857587721071, -0.0539748491879938, 0.10611466181881983, -0.006395976436484991, 0.04100692572457523, 0.08350577012531395, 0.07468881919289586, 0.09327101147059223, -0.35536971007441653, -0.20476316334679723, -0.13782423913703654, 0.16491024459487405, -0.08148695163956667, -0.12250833011810379, 0.4432681708371845, 0.11098203041835623, 0.11889926729531124, 0.2156086802193574, 0.20603423963846831, 0.0486474665813148, 0.08186500803728042, 0.08086932423235528, 0.08978310111781647, 0.25910643293875557, -0.11121804853258975, -0.1401332166158305, -0.01925538405615451, 0.23103289275654945] |
710.5399 | Following red blood cells in a pulmonary capillary | The red blood cells or erythrocytes are biconcave shaped cells and consist
mostly in a membrane delimiting a cytosol with a high concentration in
hemoglobin. This membrane is highly deformable and allows the cells to go
through narrow passages like the capillaries which diameters can be much
smaller than red blood cells one. They carry oxygen thanks to hemoglobin, a
complex molecule that have very high affinity for oxygen. The capacity of
erythrocytes to load and unload oxygen is thus a determinant factor in their
efficacy. In this paper, we will focus on the pulmonary capillary where red
blood cells capture oxygen. We propose a camera method in order to numerically
study the behavior of the red blood cell along a whole capillary. Our goal is
to understand how erythrocytes geometrical changes along the capillary can
affect its capacity to capture oxygen. The first part of this document presents
the model chosen for the red blood cells along with the numerical method used
to determine and follow their shapes along the capillary. The membrane of the
red blood cell is complex and has been modelled by an hyper-elastic approach
coming from Mills et al (2004). This camera method is then validated and
confronted with a standard ALE method. Some geometrical properties of the red
blood cells observed in our simulations are then studied and discussed. The
second part of this paper deals with the modeling of oxygen and hemoglobin
chemistry in the geometries obtained in the first part. We have implemented a
full complex hemoglobin behavior with allosteric states inspired from
Czerlinski et al (1999).
| physics.bio-ph physics.comp-ph physics.flu-dyn | the red blood cells or erythrocytes are biconcave shaped cells and consist mostly in a membrane delimiting a cytosol with a high concentration in hemoglobin this membrane is highly deformable and allows the cells to go through narrow passages like the capillaries which diameters can be much smaller than red blood cells one they carry oxygen thanks to hemoglobin a complex molecule that have very high affinity for oxygen the capacity of erythrocytes to load and unload oxygen is thus a determinant factor in their efficacy in this paper we will focus on the pulmonary capillary where red blood cells capture oxygen we propose a camera method in order to numerically study the behavior of the red blood cell along a whole capillary our goal is to understand how erythrocytes geometrical changes along the capillary can affect its capacity to capture oxygen the first part of this document presents the model chosen for the red blood cells along with the numerical method used to determine and follow their shapes along the capillary the membrane of the red blood cell is complex and has been modelled by an hyperelastic approach coming from mills et al 2004 this camera method is then validated and confronted with a standard ale method some geometrical properties of the red blood cells observed in our simulations are then studied and discussed the second part of this paper deals with the modeling of oxygen and hemoglobin chemistry in the geometries obtained in the first part we have implemented a full complex hemoglobin behavior with allosteric states inspired from czerlinski et al 1999 | [['the', 'red', 'blood', 'cells', 'or', 'erythrocytes', 'are', 'biconcave', 'shaped', 'cells', 'and', 'consist', 'mostly', 'in', 'a', 'membrane', 'delimiting', 'a', 'cytosol', 'with', 'a', 'high', 'concentration', 'in', 'hemoglobin', 'this', 'membrane', 'is', 'highly', 'deformable', 'and', 'allows', 'the', 'cells', 'to', 'go', 'through', 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710.54 | Universal Effective Quantum Number for Centrally Symmetric Problems | An effective quantum number determining with high accuracy the levels
ordering in arbitrary centrally symmetric potentials for any space
dimensionality is introduced and calculated by means of certain universal
methods based on the known estimates for the total number of the bound states
in the same potential for various dimensionality. Coincidence with some known
exact results is demonstrated. The effective number is used for constructing
the periodical system of the atomic electron shells.
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710.5401 | Shannon Entropy as Characterization Tool in Acoustics | We introduce Shannon's information entropy to characterize the avoided
crossing appearing in the resonant Zener-like phenomenon in ultrasonic
superlattices made of two different fluidlike meta- materials. We show that
Shannon's entropy gives a correct physical insight of the localization effects
taking place and manifest the informational exchange of the involved acoustic
states in the narrow region of parameters where the avoided crossing occurs.
Results for ultrasonic structures consisting of alternating layers of
methyl-metacrylate and water cavities, in which the acoustic Zener effect were
recently demonstrated, are also reported.
| cond-mat.other cond-mat.mtrl-sci | we introduce shannons information entropy to characterize the avoided crossing appearing in the resonant zenerlike phenomenon in ultrasonic superlattices made of two different fluidlike meta materials we show that shannons entropy gives a correct physical insight of the localization effects taking place and manifest the informational exchange of the involved acoustic states in the narrow region of parameters where the avoided crossing occurs results for ultrasonic structures consisting of alternating layers of methylmetacrylate and water cavities in which the acoustic zener effect were recently demonstrated are also reported | [['we', 'introduce', 'shannons', 'information', 'entropy', 'to', 'characterize', 'the', 'avoided', 'crossing', 'appearing', 'in', 'the', 'resonant', 'zenerlike', 'phenomenon', 'in', 'ultrasonic', 'superlattices', 'made', 'of', 'two', 'different', 'fluidlike', 'meta', 'materials', 'we', 'show', 'that', 'shannons', 'entropy', 'gives', 'a', 'correct', 'physical', 'insight', 'of', 'the', 'localization', 'effects', 'taking', 'place', 'and', 'manifest', 'the', 'informational', 'exchange', 'of', 'the', 'involved', 'acoustic', 'states', 'in', 'the', 'narrow', 'region', 'of', 'parameters', 'where', 'the', 'avoided', 'crossing', 'occurs', 'results', 'for', 'ultrasonic', 'structures', 'consisting', 'of', 'alternating', 'layers', 'of', 'methylmetacrylate', 'and', 'water', 'cavities', 'in', 'which', 'the', 'acoustic', 'zener', 'effect', 'were', 'recently', 'demonstrated', 'are', 'also', 'reported']] | [-0.19242467312142253, 0.18480126238644642, -0.06665018541998295, 0.07891556086711758, -0.060605664580497286, -0.12571489893787996, 0.08236422959368589, 0.3338732198422212, -0.2831830640085215, -0.2870099715628596, 0.020760306438734364, -0.28201221977902013, -0.1781707864124761, 0.1828850136073523, -0.019375905023987925, 0.045677282362851464, 0.02291621993902291, 0.030426992460825416, -0.03524377455036048, -0.1668547730578846, 0.295545544735221, 0.007972284354510457, 0.334798640224996, 0.09857117306159506, 0.10318378325508432, 0.01951815695826744, 0.0029047350182609503, 0.014970848816013786, -0.16158739894638338, 0.11763949214878795, 0.2750482945161503, 0.017867420150270295, 0.24411685898125735, -0.49573517014640706, -0.27378990924592284, 0.027563051331441765, 0.15259879154727124, 0.1339197230029873, -0.04691768900577932, -0.29745415945775633, 0.018553376544353573, -0.12738446888600496, -0.0823802832476145, -0.014852878139462582, -0.04104743026085956, -0.023666192582526873, -0.23260907706436376, 0.11134876443044726, 0.07906565788678478, 0.06216864117561991, -0.0704016555479706, -0.10285955178009909, -0.020997490257371302, 0.09651301546173907, 0.03618269134312868, -0.07659567097543067, 0.13424567156505154, -0.08942620874567246, -0.09260411171762403, 0.33400557307813444, -0.016880395083125076, -0.13852418091220559, 0.18800013718942485, -0.14788244146485488, -0.08047076889725271, 0.14788021012425942, 0.1367635339401056, 0.038484359119455656, -0.13502248780000523, 0.021030077774370045, -0.0008724164488443802, 0.14134322917143013, 0.14969064988910633, 0.11563212025455784, 0.20588311979677096, 0.15519918843584005, -0.04056320620733205, 0.21966224114226482, -0.1242809806907073, -0.08700650347786587, -0.2580240669790222, -0.17795274472730452, -0.18822507384276493, 0.0033109176248788488, -0.06259408309956915, -0.18471768482176718, 0.394460687294689, 0.13914975152502573, 0.20593141734621725, -0.045590583991725, 0.2522058807703298, 0.09970109469019049, 0.06054173695833184, 0.030127361752526012, 0.3230584784692457, 0.11831218864346399, 0.10092886125257369, -0.23130220737102505, 0.07200606347083352, 0.03347856208118935] |
710.5402 | Spontaneous breaking of conformal invariance, solitons and gravitational
waves in theories of conformally invariant gravitation | We study conformal gravity as an alternative theory of gravitation. For
conformal gravity to be phenomenologically viable requires that the conformal
symmetry is not manifest at the energy scales of the other known physical
forces. Hence we require a mechanism for the spontaneous breaking of conformal
invariance. In this paper we study the possibility that conformal invariance is
spontaneously broken due to interactions with conformally coupled matter
fields. The vacuum of the theory admits conformally non-invariant solutions
corresponding to maximally symmetric space-times and variants thereof. These
are either de Sitter space-time or anti-de Sitter space-time in the full four
space-time dimensions or in a lower dimensional sub-space. We consider in
particular normalizable, linearized gravitational perturbations around the
anti-de Sitter background. Exploiting the conformal flatness of this
space-time, we show to second order, that these gravitational fluctuations,
that are taken to be fourier decomposable, carry zero energy-momentum. This
squares well with the theorem that asymptotically flat space-times conformal
gravity contain zero energy and momentum \cite{bhs}. We also show the
possibility of domain wall solitons interpolating between the ground states of
spontaneously broken conformal symmetry that we have found. These solitons
necessarily require the vanishing of the scalar field, repudiating the recent
suggestion \cite{f} that the conformal symmetry could be quarantined to a
sterile sector of the theory by choosing an appropriate field redefinition.
| hep-th astro-ph gr-qc | we study conformal gravity as an alternative theory of gravitation for conformal gravity to be phenomenologically viable requires that the conformal symmetry is not manifest at the energy scales of the other known physical forces hence we require a mechanism for the spontaneous breaking of conformal invariance in this paper we study the possibility that conformal invariance is spontaneously broken due to interactions with conformally coupled matter fields the vacuum of the theory admits conformally noninvariant solutions corresponding to maximally symmetric spacetimes and variants thereof these are either de sitter spacetime or antide sitter spacetime in the full four spacetime dimensions or in a lower dimensional subspace we consider in particular normalizable linearized gravitational perturbations around the antide sitter background exploiting the conformal flatness of this spacetime we show to second order that these gravitational fluctuations that are taken to be fourier decomposable carry zero energymomentum this squares well with the theorem that asymptotically flat spacetimes conformal gravity contain zero energy and momentum citebhs we also show the possibility of domain wall solitons interpolating between the ground states of spontaneously broken conformal symmetry that we have found these solitons necessarily require the vanishing of the scalar field repudiating the recent suggestion citef that the conformal symmetry could be quarantined to a sterile sector of the theory by choosing an appropriate field redefinition | [['we', 'study', 'conformal', 'gravity', 'as', 'an', 'alternative', 'theory', 'of', 'gravitation', 'for', 'conformal', 'gravity', 'to', 'be', 'phenomenologically', 'viable', 'requires', 'that', 'the', 'conformal', 'symmetry', 'is', 'not', 'manifest', 'at', 'the', 'energy', 'scales', 'of', 'the', 'other', 'known', 'physical', 'forces', 'hence', 'we', 'require', 'a', 'mechanism', 'for', 'the', 'spontaneous', 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710.5403 | The energy landscape networks of spin-glasses | We have studied the topology of the energy landscape of a spin-glass model
and the effect of frustration on it by looking at the connectivity and
disconnectivity graphs of the inherent structure. The connectivity network
shows the adjacency of energy minima whereas the disconnectivity network tells
us about the heights of the energy barriers. Both graphs are constructed by the
exact enumeration of a two-dimensional square lattice of a frustrated spin
glass with nearest-neighbor interactions up to the size of 27 spins. The
enumeration of the energy-landscape minima as well as the analytical mean-field
approximation show that these minima have a Gaussian distribution, and the
connectivity graph has a log-Weibull degree distribution of shape $\kappa=8.22$
and scale $\lambda=4.84$. To study the effect of frustration on these results,
we introduce an unfrustrated spin-glass model and demonstrate that the degree
distribution of its connectivity graph shows a power-law behavior with the
-3.46 exponent, which is similar to the behavior of proteins and Lennard-Jones
clusters in its power-law form.
| cond-mat.stat-mech cond-mat.dis-nn | we have studied the topology of the energy landscape of a spinglass model and the effect of frustration on it by looking at the connectivity and disconnectivity graphs of the inherent structure the connectivity network shows the adjacency of energy minima whereas the disconnectivity network tells us about the heights of the energy barriers both graphs are constructed by the exact enumeration of a twodimensional square lattice of a frustrated spin glass with nearestneighbor interactions up to the size of 27 spins the enumeration of the energylandscape minima as well as the analytical meanfield approximation show that these minima have a gaussian distribution and the connectivity graph has a logweibull degree distribution of shape kappa822 and scale lambda484 to study the effect of frustration on these results we introduce an unfrustrated spinglass model and demonstrate that the degree distribution of its connectivity graph shows a powerlaw behavior with the 346 exponent which is similar to the behavior of proteins and lennardjones clusters in its powerlaw form | [['we', 'have', 'studied', 'the', 'topology', 'of', 'the', 'energy', 'landscape', 'of', 'a', 'spinglass', 'model', 'and', 'the', 'effect', 'of', 'frustration', 'on', 'it', 'by', 'looking', 'at', 'the', 'connectivity', 'and', 'disconnectivity', 'graphs', 'of', 'the', 'inherent', 'structure', 'the', 'connectivity', 'network', 'shows', 'the', 'adjacency', 'of', 'energy', 'minima', 'whereas', 'the', 'disconnectivity', 'network', 'tells', 'us', 'about', 'the', 'heights', 'of', 'the', 'energy', 'barriers', 'both', 'graphs', 'are', 'constructed', 'by', 'the', 'exact', 'enumeration', 'of', 'a', 'twodimensional', 'square', 'lattice', 'of', 'a', 'frustrated', 'spin', 'glass', 'with', 'nearestneighbor', 'interactions', 'up', 'to', 'the', 'size', 'of', '27', 'spins', 'the', 'enumeration', 'of', 'the', 'energylandscape', 'minima', 'as', 'well', 'as', 'the', 'analytical', 'meanfield', 'approximation', 'show', 'that', 'these', 'minima', 'have', 'a', 'gaussian', 'distribution', 'and', 'the', 'connectivity', 'graph', 'has', 'a', 'logweibull', 'degree', 'distribution', 'of', 'shape', 'kappa822', 'and', 'scale', 'lambda484', 'to', 'study', 'the', 'effect', 'of', 'frustration', 'on', 'these', 'results', 'we', 'introduce', 'an', 'unfrustrated', 'spinglass', 'model', 'and', 'demonstrate', 'that', 'the', 'degree', 'distribution', 'of', 'its', 'connectivity', 'graph', 'shows', 'a', 'powerlaw', 'behavior', 'with', 'the', '346', 'exponent', 'which', 'is', 'similar', 'to', 'the', 'behavior', 'of', 'proteins', 'and', 'lennardjones', 'clusters', 'in', 'its', 'powerlaw', 'form']] | [-0.15242969359146294, 0.12349794849708304, -0.09610840673849452, 0.08718366289252938, -0.014801738156565101, -0.1005862963928205, 0.05856836222611913, 0.3721960084399254, -0.26326691667072294, -0.34468417775692284, 0.050714980115937974, -0.30275221748799996, -0.1771609426544207, 0.08791703202977504, 0.029876554438776178, 0.025469044188645144, 0.021492463282434406, 0.06673777078508354, -0.03866042170344239, -0.21901195936320952, 0.28699735142196536, 0.05830936117109093, 0.2696357275069714, 0.08839601904250363, 0.06231140819230548, 0.017245483824631154, 0.08087906238009654, 0.05321391500822246, -0.16797208425345073, 0.12071918921506816, 0.16492361446456394, 0.040741873460696874, 0.2135281561115734, -0.39847184861896606, -0.22934778236852185, 0.12556683516311573, 0.12886122798422214, 0.08977986858638072, 0.008953746042651601, -0.2747830940061249, 0.05978111270815134, -0.1485751894454929, -0.1336327326759446, -0.06251556372906013, 0.00014443507577042755, 0.09188671231911541, -0.24206473774215626, 0.10452881285057562, 0.0847730237952286, 0.09867729120972998, -0.03527689884024922, -0.1237640873778884, -0.056663110217636044, 0.12408807347869365, 0.03337467005817083, 0.01982270703202386, 0.10328558302859253, -0.1588547862129195, -0.1439233995440257, 0.34849297384186306, 0.019007524488232577, -0.12782726445371603, 0.1662949506454624, -0.1488653113611224, -0.1202267911256768, 0.1349488630232106, 0.1411947113016007, 0.05299863745685576, -0.12571630136872267, 0.10727525803774436, -0.029248109071731296, 0.16963497269898653, 0.025606277384568096, 0.013688038970008719, 0.1797222233684052, 0.18520463394887018, 0.09527523278701687, 0.18842199225143372, -0.11511672304647906, -0.15084451774884833, -0.20566652637974517, -0.09325673177528832, -0.26446656636622584, 0.0753681158345965, -0.1961978607743243, -0.2269193702207015, 0.4736981291548213, 0.11812789000786568, 0.23235421504246118, 0.09146923653102798, 0.18961004546003007, 0.06511451060764446, 0.07298098996894933, 0.0890797570904308, 0.1866103641961406, 0.15959409262740804, 0.07292182302306884, -0.24111934730722057, 0.07934909949374454, 0.05114874588439196] |
710.5404 | Stationary distribution for dioecious branching particle systems with
rapid stirring | We study dioecious (i.e., two-sex) branching particle system models, where
there are two types of particles, modeling the male and female populations, and
where birth of new particles requires the presence of both male and female
particles. We show that stationary distributions of various dioecious branching
particle models are nontrivial under certain conditions, for example, when
there is sufficiently fast stirring.
| math.PR | we study dioecious ie twosex branching particle system models where there are two types of particles modeling the male and female populations and where birth of new particles requires the presence of both male and female particles we show that stationary distributions of various dioecious branching particle models are nontrivial under certain conditions for example when there is sufficiently fast stirring | [['we', 'study', 'dioecious', 'ie', 'twosex', 'branching', 'particle', 'system', 'models', 'where', 'there', 'are', 'two', 'types', 'of', 'particles', 'modeling', 'the', 'male', 'and', 'female', 'populations', 'and', 'where', 'birth', 'of', 'new', 'particles', 'requires', 'the', 'presence', 'of', 'both', 'male', 'and', 'female', 'particles', 'we', 'show', 'that', 'stationary', 'distributions', 'of', 'various', 'dioecious', 'branching', 'particle', 'models', 'are', 'nontrivial', 'under', 'certain', 'conditions', 'for', 'example', 'when', 'there', 'is', 'sufficiently', 'fast', 'stirring']] | [-0.08843114994443403, 0.2717788446022839, -0.051456427445910016, 0.10729051644906218, 0.018518808484840832, -0.20794269109724975, 0.012440669945761805, 0.37706635800785704, -0.15535911189422744, -0.30166284153695966, 0.05226657635791868, -0.2661932059029331, -0.13605592986110782, 0.17443680575835047, -0.05037256086542897, -0.00825953243880487, 0.10978449339077609, 0.02084569188338689, 0.08101144691425391, -0.2473255974836037, 0.3110527255358633, -0.029181704749582243, 0.23600454469684695, -5.39424678417625e-05, 0.14655240514453072, -0.0066476617138222106, -0.02181657342064637, -0.010017809855034117, -0.14025547746704894, 0.0220342061222821, 0.15721444536506707, 0.15406907523875354, 0.27148773221176914, -0.42988621544276107, -0.1346987476877746, 0.22409069811406193, 0.16663016838815492, 0.10722489897772426, -0.08828572847987295, -0.2780122122742602, 0.08382361580724598, -0.14705866156909309, -0.07737172857598691, -0.025448905403313578, 0.094242660542492, 0.08586797755990239, -0.310838435032237, 0.12637342667573545, 0.06407043630959558, 0.10922657154866906, -0.08217886617010245, -0.15153134010396288, -0.04974216726020773, 0.16389327695389033, 0.14126689462983583, -0.10306127017104356, 0.1907790823244169, -0.20099051135637966, -0.11834318108368115, 0.37470431467060183, -0.017375439439793347, -0.24968551236708633, 0.30390068925306446, -0.19620426377800645, -0.14626470121142807, 0.10231017745023624, 0.21791498669896459, 0.10848825265745037, -0.18149747711450787, 0.02218250548333449, -0.07088350584028197, 0.12382061907746753, 0.08135718548456665, -0.025993437208540617, 0.22189617842496906, 0.1657344492450051, 0.012555170193558833, 0.10180676882307915, -0.08362244536764309, -0.15639945097481373, -0.25457610635728134, -0.1566724240108103, -0.08399555881003865, 0.0405956455888074, -0.1089006463272333, -0.15332081382636165, 0.35009529606484974, 0.11612604169526183, 0.14885951730529548, 0.10363224693803025, 0.19999044696937818, 0.08046862967006985, -0.021260146372264525, 0.08053516557623373, 0.153398225786256, 0.10475505802963601, 0.05262888352707273, -0.18732304761919086, 0.10067272257273559, -0.02436694257785795] |
710.5405 | Electron-electron and spin-orbit interactions in armchair graphene
ribbons | The effects of intrinsic spin-orbit and Coulomb interactions on low-energy
properties of finite width graphene armchair ribbons are studied by means of a
Dirac Hamiltonian. It is shown that metallic states subsist in the presence of
intrinsic spin-orbit interactions as spin-filtered edge states, in contrast
with the insulating behavior predicted for graphene planes. A charge-gap opens
due to Coulomb interactions in neutral ribbons, that vanishes as $\Delta\sim
1/W $, with a gapless spin sector. Weak intrinsic spin-orbit interactions do
not change the insulating behavior. Explicit expressions for the
width-dependent gap and various correlation functions are presented.
| cond-mat.str-el | the effects of intrinsic spinorbit and coulomb interactions on lowenergy properties of finite width graphene armchair ribbons are studied by means of a dirac hamiltonian it is shown that metallic states subsist in the presence of intrinsic spinorbit interactions as spinfiltered edge states in contrast with the insulating behavior predicted for graphene planes a chargegap opens due to coulomb interactions in neutral ribbons that vanishes as deltasim 1w with a gapless spin sector weak intrinsic spinorbit interactions do not change the insulating behavior explicit expressions for the widthdependent gap and various correlation functions are presented | [['the', 'effects', 'of', 'intrinsic', 'spinorbit', 'and', 'coulomb', 'interactions', 'on', 'lowenergy', 'properties', 'of', 'finite', 'width', 'graphene', 'armchair', 'ribbons', 'are', 'studied', 'by', 'means', 'of', 'a', 'dirac', 'hamiltonian', 'it', 'is', 'shown', 'that', 'metallic', 'states', 'subsist', 'in', 'the', 'presence', 'of', 'intrinsic', 'spinorbit', 'interactions', 'as', 'spinfiltered', 'edge', 'states', 'in', 'contrast', 'with', 'the', 'insulating', 'behavior', 'predicted', 'for', 'graphene', 'planes', 'a', 'chargegap', 'opens', 'due', 'to', 'coulomb', 'interactions', 'in', 'neutral', 'ribbons', 'that', 'vanishes', 'as', 'deltasim', '1w', 'with', 'a', 'gapless', 'spin', 'sector', 'weak', 'intrinsic', 'spinorbit', 'interactions', 'do', 'not', 'change', 'the', 'insulating', 'behavior', 'explicit', 'expressions', 'for', 'the', 'widthdependent', 'gap', 'and', 'various', 'correlation', 'functions', 'are', 'presented']] | [-0.2525267793187308, 0.23702151717520073, -0.010480391991471773, 0.1046860428147116, -0.026790994069980163, -0.18825454255566001, 0.027887182467077908, 0.42588647254987766, -0.23215355903498436, -0.28721147978580314, -0.04935564761858826, -0.3483761870008158, -0.15876205316622202, 0.10508841540983045, 0.08024970920217273, 0.017335073627595864, 0.007523055060913688, -0.09915649232601649, -0.12635210485344656, -0.15354600929361034, 0.29171372138355905, -0.03513027620746901, 0.29867360736488513, 0.17033164072291632, -0.01858620375983025, 0.05057423968162192, 0.16199867999377218, 0.039224669151008126, -0.129717850288848, 0.03335506692896352, 0.22540263082145862, -0.2100948220363965, 0.17992770031682756, -0.44898777621749203, -0.17727309988909645, -0.00475791041788302, 0.1833011861424893, 0.14455001466466408, -0.05537951084368519, -0.31892437725082823, 0.016275266940264325, -0.1599686981129803, -0.15685383748557222, -0.07781766207986757, 0.036234240728969636, -0.0316659949376787, -0.2215363241192934, 0.11963509471449806, 0.08415562468825986, 0.051863370613979276, -0.07913908585415859, -0.1286510368318934, -0.1356532780367783, 0.0884101147959499, 0.084968580910936, -0.01166166211723497, 0.15966605423508506, -0.16305434236204938, -0.11347929971035275, 0.3793185549641126, -0.07393873523871758, -0.1712937838741039, 0.17845787448122313, -0.16592656626415095, -0.04026882414657034, 0.176153556571195, 0.07266045867612488, 0.05029658720779576, -0.13007590504559247, 0.14818121520679836, -0.014268036441583382, 0.11819730711806761, 0.016183232682708062, 0.1585005719205487, 0.27004240955177106, 0.12136240380963212, 0.07454388956539333, 0.11879918367454881, -0.07516132958944102, -0.04750604186158039, -0.24909018442818992, -0.12924343860757195, -0.23302333648071477, 0.08008775373592997, -0.03381706216268388, -0.23736333719693664, 0.40684151081674685, 0.11500226753322702, 0.18800702228848087, -0.03505595277406667, 0.21063866694212743, 0.10263030635634143, 0.09208341700171954, 0.009349493010851898, 0.3024158176132723, 0.19991783128414106, 0.06321916992432977, -0.29085804681832855, 0.07491500488433399, 0.014435800066904017] |
710.5406 | Programs in Mathematica relevant to Phase Integral Approximation for
coupled ODEs of the Schr\"odinger type | Three programs in Mathematica are presented, which produce expressions for
the lowest order and the higher order corrections of the Phase Integral
Approximation. First program is pertinent to one ordinary differential equation
of the Schr\"odinger type. The remaining two refer to a set of two such
equations.
| math-ph math.MP | three programs in mathematica are presented which produce expressions for the lowest order and the higher order corrections of the phase integral approximation first program is pertinent to one ordinary differential equation of the schrodinger type the remaining two refer to a set of two such equations | [['three', 'programs', 'in', 'mathematica', 'are', 'presented', 'which', 'produce', 'expressions', 'for', 'the', 'lowest', 'order', 'and', 'the', 'higher', 'order', 'corrections', 'of', 'the', 'phase', 'integral', 'approximation', 'first', 'program', 'is', 'pertinent', 'to', 'one', 'ordinary', 'differential', 'equation', 'of', 'the', 'schrodinger', 'type', 'the', 'remaining', 'two', 'refer', 'to', 'a', 'set', 'of', 'two', 'such', 'equations']] | [-0.1369122888575843, 0.034015294164419174, -0.06002912626780094, 0.1122416835203965, -0.10862493766669898, -0.11599294107129916, -0.05054782049611528, 0.2599957891680459, -0.2647646209423212, -0.3405953429322294, 0.1281715949992352, -0.3403820717271338, -0.11045906082429785, 0.19077151772031126, 0.058637125724728435, 0.09351316972219563, -0.006481876993115912, 0.0754369135866774, -0.09432426995617595, -0.28217345226476803, 0.35309136738168434, -0.08158076875545878, 0.17443969239421347, -0.03896845968321283, 0.12104264884553056, -0.047576659487837805, -0.043183799030536665, -0.007875584739636867, -0.11051195295666286, 0.11663955771562426, 0.2689510437640104, 0.06476681748841037, 0.2563709799556973, -0.41776994381971816, -0.11452156830420519, 0.04900261761739533, 0.11801401172031431, 0.1600508338628099, 0.01910616176084001, -0.23330079464915585, 0.04437563277067656, -0.1911532099338922, -0.15429746476497422, -0.0896611611973098, -0.007238400703732004, 0.039864989076840114, -0.2573917400329671, 0.03552772992468895, 0.038586187275483255, -0.026531560633807107, -0.07929718610830605, -0.1608102579224617, -0.029231590768718656, 0.10958114443743165, -0.00973410810284475, 0.0018082794911683873, -0.002665343843004171, -0.11699085751984348, -0.12222852587620629, 0.43008994271463535, -0.0681373664088785, -0.23174378466098866, 0.13382746436771878, -0.17059219574080187, -0.14350732714135914, 0.19814852438867092, 0.1709161400002368, 0.16379649782592945, -0.20783864724588522, 0.05029869802727146, 0.045631385507418756, 0.13309145171908623, 0.04567407754230055, 0.01569760917745372, 0.11632008855528336, 0.08549298114202758, 0.03145814328355358, 0.1338738848237281, -0.010323809846205281, -0.1382323726813527, -0.40513460361894144, -0.19861699648677034, -0.09510285086295706, -0.00871576497608677, -0.0619926009958169, -0.17917065988195705, 0.3873141602355432, 0.133531794687634, 0.13099163168783676, 0.03619158095828792, 0.2936211348055525, 0.24685353743924235, 0.05056771735086086, 0.039752253678013036, 0.20842945952206215, 0.148747971162517, 0.10135339958434726, -0.23313311331885608, 0.005663174016282279, 0.16138467640477291] |
710.5407 | Ray optics in the field of non-minimal Dirac monopole | Based on the analogy with non-minimal SU(2) symmetric Wu-Yang monopole with
regular metric, the solution describing a non-minimal U(1) symmetric Dirac
monopole is obtained. In order to take into account the curvature coupling of
gravitational and electromagnetic fields, we reconstruct the effective metrics
of two types: the so-called associated and optical metrics. The optical metrics
display explicitly that the effect of birefringence induced by curvature takes
place in the vicinity of the non-minimal Dirac monopole; these optical metrics
are studied analytically and numerically.
| gr-qc astro-ph hep-th | based on the analogy with nonminimal su2 symmetric wuyang monopole with regular metric the solution describing a nonminimal u1 symmetric dirac monopole is obtained in order to take into account the curvature coupling of gravitational and electromagnetic fields we reconstruct the effective metrics of two types the socalled associated and optical metrics the optical metrics display explicitly that the effect of birefringence induced by curvature takes place in the vicinity of the nonminimal dirac monopole these optical metrics are studied analytically and numerically | [['based', 'on', 'the', 'analogy', 'with', 'nonminimal', 'su2', 'symmetric', 'wuyang', 'monopole', 'with', 'regular', 'metric', 'the', 'solution', 'describing', 'a', 'nonminimal', 'u1', 'symmetric', 'dirac', 'monopole', 'is', 'obtained', 'in', 'order', 'to', 'take', 'into', 'account', 'the', 'curvature', 'coupling', 'of', 'gravitational', 'and', 'electromagnetic', 'fields', 'we', 'reconstruct', 'the', 'effective', 'metrics', 'of', 'two', 'types', 'the', 'socalled', 'associated', 'and', 'optical', 'metrics', 'the', 'optical', 'metrics', 'display', 'explicitly', 'that', 'the', 'effect', 'of', 'birefringence', 'induced', 'by', 'curvature', 'takes', 'place', 'in', 'the', 'vicinity', 'of', 'the', 'nonminimal', 'dirac', 'monopole', 'these', 'optical', 'metrics', 'are', 'studied', 'analytically', 'and', 'numerically']] | [-0.2114000595118626, 0.1429403981906418, -0.02944638209798968, 0.11777812272383192, -0.12563748148281173, -0.14566258153126363, -0.061422922132334794, 0.36876581414008, -0.1439572214548678, -0.26420361785420093, 0.029285723542659937, -0.29532598781663116, -0.22013812045375986, 0.11746305855641882, 0.05970423846875166, -0.004181357560656875, -0.04297428453868502, 0.09178796666954835, -0.11248857693757906, -0.19909882592598357, 0.406104591203831, -0.011222058160971087, 0.28517949204128906, 0.06915119494569588, 0.13393679170319475, -0.03129910200649132, -0.01732731589217143, 0.0868850284121392, -0.12831566377631626, 0.07798625650978366, 0.1410449734743101, 0.015305670183039752, 0.14122675997710013, -0.41494911426610975, -0.23605348533356046, 0.14661547719467297, 0.10624928829675338, 0.11494668027812457, -0.05316406857160604, -0.384450759132763, 0.04718731469418629, -0.1454858158501875, -0.13563554064673652, -0.09360175660575729, -0.010790651585592562, -0.029536880129185247, -0.23513810542210128, 0.047153012138014344, 0.03175250544768186, -0.006366648039772141, -0.13058073226788855, -0.05288587127397039, -0.07260013657835233, 0.09112137099391365, 0.11419138290332202, 0.014094675851828721, 0.09923763194749782, -0.1269186612033476, -0.10461863037268912, 0.41503866726016425, -0.13326755687678568, -0.24941001258263118, 0.06785299519290137, -0.1347771445548734, -0.0549859506280038, 0.12006796323077147, 0.18530252358191704, 0.1208412381764277, -0.12295773368418576, 0.17761368759843263, 0.03406502859083464, 0.0765838020253949, 0.11910874155035849, 0.05377322594713734, 0.28214359393410654, 0.06172587906560266, 0.021178830717970807, 0.1406987001614488, -0.06010004681470546, -0.1322281254141266, -0.33341031990586273, -0.1338760284791106, -0.14952727168495486, 0.10936629848487406, -0.18384074752502344, -0.1970417141487979, 0.43623367291931286, 0.07543944520314774, 0.14165924610682282, 0.0029285821379218474, 0.2650763095771692, 0.10751094318034285, 0.08164842137842472, 0.023064445979130196, 0.3756755041295146, 0.17759920234780713, 0.09176853403073164, -0.27825292308130356, -0.09137998165630073, 0.14216468912403446] |
710.5408 | Large, global solutions to the Navier-Stokes equations, slowly varying
in one direction | In to previous papers by the authors, classes of initial data to the three
dimensional, incompressible Navier-Stokes equations were presented, generating
a global smooth solution although the norm of the initial data may be chosen
arbitrarily large. The aim of this article is to provide new examples of
arbitrarily large initial data giving rise to global solutions, in the whole
space. Contrary to the previous examples, the initial data has no particular
oscillatory properties, but varies slowly in one direction. The proof uses the
special structure of the nonlinear term of the equation.
| math.AP | in to previous papers by the authors classes of initial data to the three dimensional incompressible navierstokes equations were presented generating a global smooth solution although the norm of the initial data may be chosen arbitrarily large the aim of this article is to provide new examples of arbitrarily large initial data giving rise to global solutions in the whole space contrary to the previous examples the initial data has no particular oscillatory properties but varies slowly in one direction the proof uses the special structure of the nonlinear term of the equation | [['in', 'to', 'previous', 'papers', 'by', 'the', 'authors', 'classes', 'of', 'initial', 'data', 'to', 'the', 'three', 'dimensional', 'incompressible', 'navierstokes', 'equations', 'were', 'presented', 'generating', 'a', 'global', 'smooth', 'solution', 'although', 'the', 'norm', 'of', 'the', 'initial', 'data', 'may', 'be', 'chosen', 'arbitrarily', 'large', 'the', 'aim', 'of', 'this', 'article', 'is', 'to', 'provide', 'new', 'examples', 'of', 'arbitrarily', 'large', 'initial', 'data', 'giving', 'rise', 'to', 'global', 'solutions', 'in', 'the', 'whole', 'space', 'contrary', 'to', 'the', 'previous', 'examples', 'the', 'initial', 'data', 'has', 'no', 'particular', 'oscillatory', 'properties', 'but', 'varies', 'slowly', 'in', 'one', 'direction', 'the', 'proof', 'uses', 'the', 'special', 'structure', 'of', 'the', 'nonlinear', 'term', 'of', 'the', 'equation']] | [-0.14620904340809313, 0.07384628443027376, -0.09859132564217303, 0.053633861997294974, -0.10916725117512928, -0.10044326268196586, -0.02422358855725296, 0.2890956625342369, -0.2763604911905463, -0.30197544073465693, 0.1478604912489993, -0.2733432626256579, -0.08062286372546867, 0.1903835532445741, -0.07900565964925874, 0.08591023994789969, 0.10357247021610058, 0.030187469799765033, -0.08087764933745387, -0.2900159653771909, 0.3840373159005677, 0.02263273758643497, 0.2693797703531961, -0.01846588674371922, 0.10051382913364358, -0.0673506686323753, -0.048912931073416946, 0.016831011526093828, -0.16510174200139058, 0.10961082103031297, 0.2525691381024738, 0.0954247980869265, 0.2948573077703395, -0.43424002323499933, -0.19350058520312913, 0.10936985303828071, 0.12447149383144514, 0.17761013744979776, -0.03818958647228697, -0.2658231410708639, 0.07100501287007524, -0.1136097368597734, -0.2081704811563575, -0.07104150528809236, 0.04883982139259016, 0.07577712828874268, -0.272828091665106, 0.06652799041901705, 0.08709721365863438, 0.023801165723031568, -0.12701363529213855, -0.0845680294247965, -0.02788755528989338, 0.11894060227699498, 0.1272196603428212, 0.06832172852309962, 0.04157811572514875, -0.12156241080294657, -0.047200290095661915, 0.3362107511249281, -0.06509186076476009, -0.24469405773185915, 0.21160487403782705, -0.14434633968818572, -0.11131675452274341, 0.1574569386743029, 0.18776329110566808, 0.11472261316012791, -0.14016932382320946, 0.11266223298666138, -0.07829915528355907, 0.1660137455309591, 0.0645809238476138, -0.0075386258365426175, 0.0993421768909821, 0.1382513708805525, 0.08519745826400736, 0.1449899897367383, -0.03864585207800271, -0.12060158782868936, -0.3298898150002764, -0.12387775701610872, -0.18583068759330817, 0.07062991266889919, -0.09209903205935192, -0.17710434096635028, 0.43683105874906786, 0.11957988122250304, 0.21951582120050506, 0.006233529077582462, 0.2581601086002524, 0.10478562457356802, 0.051572630607513006, 0.06943718681452415, 0.2351779494614851, 0.09949711226778085, 0.1661953861594841, -0.14952607172220866, 0.058394141094658965, 0.07738684292542197] |
710.5409 | Effects of isospin and momentum dependent interactions on thermal
properties of asymmetric nuclear matter | Thermal properties of asymmetric nuclear matter are studied within a
self-consistent thermal model using an isospin and momentum dependent
interaction (MDI) constrained by the isospin diffusion data in heavy-ion
collisions, a momentum-independent interaction (MID), and an isoscalar
momentum-dependent interaction (eMDYI). In particular, we study the temperature
dependence of the isospin-dependent bulk and single-particle properties, the
mechanical and chemical instabilities, and liquid-gas phase transition in hot
asymmetric nuclear matter. Our results indicate that the temperature dependence
of the equation of state and the symmetry energy are not so sensitive to the
momentum dependence of the interaction. The symmetry energy at fixed density is
found to generally decrease with temperature and for the MDI interaction the
decrement is essentially due to the potential part. It is further shown that
only the low momentum part of the single-particle potential and the nucleon
effective mass increases significantly with temperature for the
momentum-dependent interactions. For the MDI interaction, the low momentum part
of the symmetry potential is significantly reduced with increasing temperature.
For the mechanical and chemical instabilities as well as the liquid-gas phase
transition in hot asymmetric nuclear matter, our results indicate that the
boundary of these instabilities and the phase-coexistence region generally
shrink with increasing temperature and is sensitive to the density dependence
of the symmetry energy and the isospin and momentum dependence of the nuclear
interaction, especially at higher temperatures.
| nucl-th | thermal properties of asymmetric nuclear matter are studied within a selfconsistent thermal model using an isospin and momentum dependent interaction mdi constrained by the isospin diffusion data in heavyion collisions a momentumindependent interaction mid and an isoscalar momentumdependent interaction emdyi in particular we study the temperature dependence of the isospindependent bulk and singleparticle properties the mechanical and chemical instabilities and liquidgas phase transition in hot asymmetric nuclear matter our results indicate that the temperature dependence of the equation of state and the symmetry energy are not so sensitive to the momentum dependence of the interaction the symmetry energy at fixed density is found to generally decrease with temperature and for the mdi interaction the decrement is essentially due to the potential part it is further shown that only the low momentum part of the singleparticle potential and the nucleon effective mass increases significantly with temperature for the momentumdependent interactions for the mdi interaction the low momentum part of the symmetry potential is significantly reduced with increasing temperature for the mechanical and chemical instabilities as well as the liquidgas phase transition in hot asymmetric nuclear matter our results indicate that the boundary of these instabilities and the phasecoexistence region generally shrink with increasing temperature and is sensitive to the density dependence of the symmetry energy and the isospin and momentum dependence of the nuclear interaction especially at higher temperatures | [['thermal', 'properties', 'of', 'asymmetric', 'nuclear', 'matter', 'are', 'studied', 'within', 'a', 'selfconsistent', 'thermal', 'model', 'using', 'an', 'isospin', 'and', 'momentum', 'dependent', 'interaction', 'mdi', 'constrained', 'by', 'the', 'isospin', 'diffusion', 'data', 'in', 'heavyion', 'collisions', 'a', 'momentumindependent', 'interaction', 'mid', 'and', 'an', 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710.541 | PeV scale Left-Right symmetry and baryon asymmetry of the Universe | We study the cosmology of two versions of supersymmetric Left-Right symmetric
model. The scale of the $B-L$ symmetry breaking in these models is naturally
low, $10^4 - 10^6$ GeV. Spontaneous breakdown of parity is accompanied by a
first order phase transition. We simulate the domain walls of the phase
transition and show that they provide requisite conditions, specifically, $CP$
violating phase needed for leptogenesis. Additionally soft resonant
leptogenesis is conditionally viable in the two models considered. Some of the
parameters in the soft supersymmetry breaking terms are shown to be constrained
from these considerations. It is argued that the models may be testable in
upcoming collider and cosmology experiments.
| hep-ph | we study the cosmology of two versions of supersymmetric leftright symmetric model the scale of the bl symmetry breaking in these models is naturally low 104 106 gev spontaneous breakdown of parity is accompanied by a first order phase transition we simulate the domain walls of the phase transition and show that they provide requisite conditions specifically cp violating phase needed for leptogenesis additionally soft resonant leptogenesis is conditionally viable in the two models considered some of the parameters in the soft supersymmetry breaking terms are shown to be constrained from these considerations it is argued that the models may be testable in upcoming collider and cosmology experiments | [['we', 'study', 'the', 'cosmology', 'of', 'two', 'versions', 'of', 'supersymmetric', 'leftright', 'symmetric', 'model', 'the', 'scale', 'of', 'the', 'bl', 'symmetry', 'breaking', 'in', 'these', 'models', 'is', 'naturally', 'low', '104', '106', 'gev', 'spontaneous', 'breakdown', 'of', 'parity', 'is', 'accompanied', 'by', 'a', 'first', 'order', 'phase', 'transition', 'we', 'simulate', 'the', 'domain', 'walls', 'of', 'the', 'phase', 'transition', 'and', 'show', 'that', 'they', 'provide', 'requisite', 'conditions', 'specifically', 'cp', 'violating', 'phase', 'needed', 'for', 'leptogenesis', 'additionally', 'soft', 'resonant', 'leptogenesis', 'is', 'conditionally', 'viable', 'in', 'the', 'two', 'models', 'considered', 'some', 'of', 'the', 'parameters', 'in', 'the', 'soft', 'supersymmetry', 'breaking', 'terms', 'are', 'shown', 'to', 'be', 'constrained', 'from', 'these', 'considerations', 'it', 'is', 'argued', 'that', 'the', 'models', 'may', 'be', 'testable', 'in', 'upcoming', 'collider', 'and', 'cosmology', 'experiments']] | [-0.1441323475435773, 0.2634309396596142, -0.05183294339803979, 0.1564045737506132, -0.07612549153984421, -0.1669480419627184, 0.0032511753530276044, 0.3577681654154461, -0.23758776172029752, -0.3044792756468437, 0.14400921092170324, -0.22165924368891865, -0.10744578003046897, 0.12450016283697483, 0.008169606454127157, 0.06495402503275761, -0.012978890246746165, -0.03690061906403302, -0.06241755038003989, -0.19945153911356572, 0.2661282513463111, 0.03327654995438126, 0.2612046444512628, 0.07187919936970705, 0.05008707606854538, -0.11450322163808677, 0.014969530946540612, -0.03493741371979316, -0.11184757142136395, 0.02663970693376743, 0.2136966471942085, 0.09180693766447129, 0.12475141539686808, -0.4351735347536979, -0.20973171639532126, 0.18011519024622868, 0.11521556830902463, 0.11989007417664484, -0.07801493357207316, -0.3040288559644035, 0.08125191490183135, -0.19959084387799655, -0.10021651070996153, -0.09554257371066208, -0.04462817383076375, -0.10710639180831129, -0.3115005040437811, 0.11814254417765403, 0.010464085645421787, -0.022059772916017444, -0.02840566513219124, -0.06844507320245073, -0.050441361101413215, -0.0023850394085187603, 0.129088481848292, -0.029800022277480888, 0.10623590473227927, -0.16518904621005748, -0.16992327684096786, 0.4495375603663787, -0.03005245116353897, -0.14790234549178016, 0.17304296095217406, -0.1737176115512503, -0.19467594464206034, 0.11685965489164961, 0.14105059147846918, 0.1059349236526975, -0.13487232059641327, 0.13863230174266156, -0.010091119135419527, 0.17149733196991426, 0.039003192276814605, 0.02769720142155334, 0.2892247404239175, 0.18511890028430908, 0.025058991111883963, 0.11766895823206545, -0.054506817418668, -0.1138028692221269, -0.4337080955651968, -0.0936962911574584, -0.13665380499204965, 0.016233995574078074, -0.08317518094312011, -0.07325449273829926, 0.3970379450927592, 0.1659882690087047, 0.21754521123323314, 0.010354739958765331, 0.24110816579519045, 0.11594976104269908, 0.0773878899757013, -0.004241502379887539, 0.31504163306117, 0.1018412434517544, 0.0934415296850838, -0.23451991617373466, 0.018689870360065943, 0.03240445528731302] |
710.5411 | A new multi-component two dimensional Toda lattice hierarchy and two
dimensional Toda lattice with self-consistent sources | We propose a new multi-component two-dimensional Toda lattice hierarchy
(mc2dTLH) which includes two-dimensional Toda lattice equation with
self-consistent sources (2dTLSCS) as the first non-trivial equation. The Lax
representations for this mc2dTLH are presented. We construct a
non-auto-B\"acklund Darboux transformation (DT) for 2dTLSCS by applying the
method of variation of constant (MVC) to ordinary DT of 2dTLSCS. This
non-auto-B\"acklund DT enables us to obtain various solutions such as solitons,
rational solutions etc., to 2dTLSCS.
| nlin.SI | we propose a new multicomponent twodimensional toda lattice hierarchy mc2dtlh which includes twodimensional toda lattice equation with selfconsistent sources 2dtlscs as the first nontrivial equation the lax representations for this mc2dtlh are presented we construct a nonautobacklund darboux transformation dt for 2dtlscs by applying the method of variation of constant mvc to ordinary dt of 2dtlscs this nonautobacklund dt enables us to obtain various solutions such as solitons rational solutions etc to 2dtlscs | [['we', 'propose', 'a', 'new', 'multicomponent', 'twodimensional', 'toda', 'lattice', 'hierarchy', 'mc2dtlh', 'which', 'includes', 'twodimensional', 'toda', 'lattice', 'equation', 'with', 'selfconsistent', 'sources', '2dtlscs', 'as', 'the', 'first', 'nontrivial', 'equation', 'the', 'lax', 'representations', 'for', 'this', 'mc2dtlh', 'are', 'presented', 'we', 'construct', 'a', 'nonautobacklund', 'darboux', 'transformation', 'dt', 'for', '2dtlscs', 'by', 'applying', 'the', 'method', 'of', 'variation', 'of', 'constant', 'mvc', 'to', 'ordinary', 'dt', 'of', '2dtlscs', 'this', 'nonautobacklund', 'dt', 'enables', 'us', 'to', 'obtain', 'various', 'solutions', 'such', 'as', 'solitons', 'rational', 'solutions', 'etc', 'to', '2dtlscs']] | [-0.10884751576248189, 0.043803221559230714, -0.062480493343736926, 0.06580573570599753, -0.14331631622159144, -0.17467129365606626, -0.017522541871687895, 0.31873364048734515, -0.3265147651217773, -0.20436775240994676, 0.07633635213493671, -0.27046022396272335, -0.190761854242481, 0.1555902017575597, -0.004809777599982392, 0.10564843579654543, 0.008269798358194006, -0.006008334484108737, -0.1522030913185748, -0.23326392756433975, 0.32673828415310296, -0.05321011830016341, 0.24303946182341643, -0.010050472016380707, 0.19095162576405514, 0.013675397019308637, 0.003837069007895992, -0.06741711477999916, -0.1898589574167846, 0.09646094648141257, 0.2480922588147223, 0.056614534594905626, 0.1424060723068796, -0.38129053175659244, -0.20553885006778677, 0.07297093985261212, 0.19560946399201704, 0.14868686717285604, -0.06485014594107552, -0.27713841725875377, 0.07043485768454176, -0.16157583052843388, -0.19421668108683868, -0.1388722770489936, 0.02937718509683307, 0.10573279159799429, -0.2705038974658442, 0.0995064540210235, 0.04219421314101823, -0.019546242338985626, -0.12292898044278713, -0.06581364123439284, -0.022337461921753704, 0.045742715236691524, -0.004344688125059638, 0.047953833268404425, -0.017529367941471054, -0.09335149970876289, -0.09096959356585858, 0.4251295976655584, -0.10395320684609699, -0.26920554798070184, 0.12250302377497961, -0.01574020858355601, -0.17362544926959025, 0.12149743510829941, 0.1304225770192562, 0.13586708349766027, -0.1902124857608701, 0.0743604750591978, -0.07874599247383819, 0.12845911254981715, 0.11955170259273178, -0.04100160454940969, 0.15171514569558728, 0.15141459042862268, 0.03790859249748395, 0.17298596126722618, -0.031968587891421686, -0.11515925057284848, -0.3139036359449088, -0.1844413538896282, -0.08262877057070359, 0.10517272014748043, -0.07942590379798917, -0.2031684548087405, 0.3835457003295002, 0.10463231110709234, 0.16025853635330067, 0.08594925156105834, 0.15705329415873742, 0.19124631279043225, 0.057316856901489306, 0.01606563359341571, 0.11895931960726289, 0.17733835951346433, 0.13678052815490624, -0.21280391364437068, -0.12567444127971228, 0.2585883607340216] |
710.5412 | Electric field effect on BiFeO$_3$ single crystal investigated by Raman
spectroscopy | Micro-Raman spectroscopy has been used to study lattice dynamics associated
with the ferroelectric domains of a BiFeO$_3$ single crystal at low
temperature. The phonon assignment shows a large frequency splitting between
the transverse and longitudinal components of the A$_1$ phonon mode related to
the Bi-O bonds in contrast with thin films where the splitting is negligible.
Applying an external electric field induces frequency shifts of the low energy
modes related to the Bi-O bonds. These softenings are due to a tensile stress
via the piezoelectric effect. We give estimates of the phonon deformation
potentials.
| cond-mat.str-el cond-mat.mtrl-sci | microraman spectroscopy has been used to study lattice dynamics associated with the ferroelectric domains of a bifeo_3 single crystal at low temperature the phonon assignment shows a large frequency splitting between the transverse and longitudinal components of the a_1 phonon mode related to the bio bonds in contrast with thin films where the splitting is negligible applying an external electric field induces frequency shifts of the low energy modes related to the bio bonds these softenings are due to a tensile stress via the piezoelectric effect we give estimates of the phonon deformation potentials | [['microraman', 'spectroscopy', 'has', 'been', 'used', 'to', 'study', 'lattice', 'dynamics', 'associated', 'with', 'the', 'ferroelectric', 'domains', 'of', 'a', 'bifeo_3', 'single', 'crystal', 'at', 'low', 'temperature', 'the', 'phonon', 'assignment', 'shows', 'a', 'large', 'frequency', 'splitting', 'between', 'the', 'transverse', 'and', 'longitudinal', 'components', 'of', 'the', 'a_1', 'phonon', 'mode', 'related', 'to', 'the', 'bio', 'bonds', 'in', 'contrast', 'with', 'thin', 'films', 'where', 'the', 'splitting', 'is', 'negligible', 'applying', 'an', 'external', 'electric', 'field', 'induces', 'frequency', 'shifts', 'of', 'the', 'low', 'energy', 'modes', 'related', 'to', 'the', 'bio', 'bonds', 'these', 'softenings', 'are', 'due', 'to', 'a', 'tensile', 'stress', 'via', 'the', 'piezoelectric', 'effect', 'we', 'give', 'estimates', 'of', 'the', 'phonon', 'deformation', 'potentials']] | [-0.18038540399395564, 0.2192406378690453, -0.05579620572995949, -0.060787241164089595, -0.08399524588256757, -0.11546216781766332, 0.057875709984689314, 0.4422695584832988, -0.3063199355148096, -0.22775255015833265, 0.013031873786376115, -0.29472574928498013, -0.0921081996106721, 0.17262335200893117, 0.03209645788561791, -0.0006290442666950378, -0.012179533396154008, -0.04063656553130676, -0.032265480345194324, -0.12849021037455965, 0.24973618246099732, 0.044285937321392146, 0.38791233630097927, 0.11071492745441959, 0.058057719940676336, 0.02623028890972838, 0.08392884161699801, 0.017505913586454824, -0.14592701309618164, 0.10730953856391158, 0.2510486367218038, -0.1347597444385409, 0.24936950509931813, -0.43696259415926453, -0.18513228128505674, 0.03319912030302147, 0.0940038188945185, 0.16561615396726956, -0.037128775568797866, -0.21425206898810698, 0.047993398103070385, -0.11092904967037921, -0.11146943069043312, -0.08723265578613636, -0.00959517508918578, 0.032614576578278966, -0.2553380631545727, 0.1265086780222965, 0.018064579966061926, 0.1244712492569964, -0.13206379892839554, -0.12877921604779252, -0.09974025472245635, 0.05299638288511716, 0.12436330844301413, 0.061671542724535025, 0.18801870427411446, -0.07342860493511755, -0.10214200855648899, 0.3979800193511108, -0.06600999218867497, -0.1301191921365705, 0.18057513581787019, -0.1547656066002364, -0.050380661315780055, 0.18011138312260996, 0.1308379945774969, 0.08010985864762296, -0.11507734929538391, 0.06542271859398945, 0.08816106534226144, 0.18054211354675762, 0.11357635905857179, 0.05901698343099115, 0.2032209136126999, 0.13667631145824302, 0.022822485213026163, 0.1916813799477321, -0.14244422321566974, -0.0035103484195597627, -0.2249060472513133, -0.13138446453810135, -0.18006604170628596, 0.05662543314727063, -0.08259705500166363, -0.2081956414486024, 0.4069992019497651, 0.047529419503645955, 0.17935178092026965, -0.04941294940703727, 0.2485921049213156, 0.13916755812440781, 0.14628877079094502, -0.017749600450305807, 0.2805766392736993, 0.23397926839088348, 0.11446337167813289, -0.34260339528183514, 0.03023441661981509, -0.03667065959691288] |
710.5413 | Interplay of structure and spin-orbit strength in magnetism of
metal-benzene sandwiches: from single molecules to infinite wires | Based on first-principles density functional theory calculations we explore
electronic and magnetic properties of experimentally producible sandwiches and
infinite wires made of repeating benzene molecules and transition-metal atoms
of V, Nb, and Ta. We describe the bonding mechanism in the molecules and in
particular concentrate on the origin of magnetism in these structures. We find
that all the considered systems have sizable magnetic moments and ferromagnetic
spin-ordering, with the single exception of the V3-Bz4 molecule. By including
the spin-orbit coupling into our calculations we determine the easy and hard
axes of the magnetic moment, the strength of the uniaxial magnetic anisotropy
energy (MAE), relevant for the thermal stability of magnetic orientation, and
the change of the electronic structure with respect to the direction of the
magnetic moment, important for spin-transport properties. While for the V-based
compounds the values of the MAE are only of the order of 0.05-0.5 meV per metal
atom, increasing the spin-orbit strength by substituting V with heavier Nb and
Ta allows to achieve an increase in anisotropy values by one to two orders of
magnitude. The rigid stability of magnetism in these compounds together with
the strong ferromagnetic ordering makes them attractive candidates for
spin-polarized transport applications. For a Nb-benzene infinite wire the
occurrence of ballistic anisotropic magnetoresistance is demonstrated.
| cond-mat.mtrl-sci cond-mat.other | based on firstprinciples density functional theory calculations we explore electronic and magnetic properties of experimentally producible sandwiches and infinite wires made of repeating benzene molecules and transitionmetal atoms of v nb and ta we describe the bonding mechanism in the molecules and in particular concentrate on the origin of magnetism in these structures we find that all the considered systems have sizable magnetic moments and ferromagnetic spinordering with the single exception of the v3bz4 molecule by including the spinorbit coupling into our calculations we determine the easy and hard axes of the magnetic moment the strength of the uniaxial magnetic anisotropy energy mae relevant for the thermal stability of magnetic orientation and the change of the electronic structure with respect to the direction of the magnetic moment important for spintransport properties while for the vbased compounds the values of the mae are only of the order of 00505 mev per metal atom increasing the spinorbit strength by substituting v with heavier nb and ta allows to achieve an increase in anisotropy values by one to two orders of magnitude the rigid stability of magnetism in these compounds together with the strong ferromagnetic ordering makes them attractive candidates for spinpolarized transport applications for a nbbenzene infinite wire the occurrence of ballistic anisotropic magnetoresistance is demonstrated | [['based', 'on', 'firstprinciples', 'density', 'functional', 'theory', 'calculations', 'we', 'explore', 'electronic', 'and', 'magnetic', 'properties', 'of', 'experimentally', 'producible', 'sandwiches', 'and', 'infinite', 'wires', 'made', 'of', 'repeating', 'benzene', 'molecules', 'and', 'transitionmetal', 'atoms', 'of', 'v', 'nb', 'and', 'ta', 'we', 'describe', 'the', 'bonding', 'mechanism', 'in', 'the', 'molecules', 'and', 'in', 'particular', 'concentrate', 'on', 'the', 'origin', 'of', 'magnetism', 'in', 'these', 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'substituting', 'v', 'with', 'heavier', 'nb', 'and', 'ta', 'allows', 'to', 'achieve', 'an', 'increase', 'in', 'anisotropy', 'values', 'by', 'one', 'to', 'two', 'orders', 'of', 'magnitude', 'the', 'rigid', 'stability', 'of', 'magnetism', 'in', 'these', 'compounds', 'together', 'with', 'the', 'strong', 'ferromagnetic', 'ordering', 'makes', 'them', 'attractive', 'candidates', 'for', 'spinpolarized', 'transport', 'applications', 'for', 'a', 'nbbenzene', 'infinite', 'wire', 'the', 'occurrence', 'of', 'ballistic', 'anisotropic', 'magnetoresistance', 'is', 'demonstrated']] | [-0.17960068172740065, 0.17534326175882597, 0.038017881601468996, 0.02226844047611351, -0.02753409875937373, -0.0982021772575055, 0.07279796948308292, 0.41611858263154916, -0.26410938615313256, -0.3192381230438291, -0.03498211068832667, -0.3257001256318307, -0.07906028848879461, 0.16629798515075994, 0.10403257969081542, 0.0049775806158168226, -0.004905272701333435, 0.0040956644389672945, -0.1030523734780046, 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710.5414 | On the Hodge decomposition in R^n | We prove a version of the $L^p$ hodge decomposition for differential forms in
Euclidean space and a generalization to the class of Lizorkin currents. We also
compute the $L_{qp}-$cohomology of $\mathbb{R}^n$.
| math.FA | we prove a version of the lp hodge decomposition for differential forms in euclidean space and a generalization to the class of lizorkin currents we also compute the l_qpcohomology of mathbbrn | [['we', 'prove', 'a', 'version', 'of', 'the', 'lp', 'hodge', 'decomposition', 'for', 'differential', 'forms', 'in', 'euclidean', 'space', 'and', 'a', 'generalization', 'to', 'the', 'class', 'of', 'lizorkin', 'currents', 'we', 'also', 'compute', 'the', 'l_qpcohomology', 'of', 'mathbbrn']] | [-0.13566766745380818, 0.0016669901989160045, -0.10330782836723712, 0.13097354138810788, -0.10518216497955783, -0.02967996766129809, -0.0037183181397737034, 0.29734334998553796, -0.3475802319665109, -0.17949652840052882, 0.1471192879760037, -0.2346885267705206, -0.1888645420511884, 0.19784832959093393, -0.15216211788356304, 0.025031476251540646, 0.026228740616070646, 0.05931372558998485, -0.150029705476857, -0.22411502495167718, 0.41673595551401377, -0.10502263711344811, 0.18390531729786627, 0.042280441390410546, 0.13120455632827455, 0.024877149146050215, -0.015519549919953269, -0.0008589143633857489, -0.1835327304058498, 0.20877420362986385, 0.2383948424530606, 0.07191538413415753, 0.20802996896447673, -0.3668716778197596, -0.13628068824689235, 0.2143218060354552, 0.07941021256509327, 0.05357299243370371, -0.007375997168222262, -0.26785545483712225, 0.09956897392628654, -0.10387378522465306, -0.19228962688676773, -0.11752690933644772, 0.04291334583033477, -0.01601725945534605, -0.3228297858468948, 0.01765252127698923, 0.10172391721918699, 0.018579778233787134, -0.15433694528896483, -0.13932793551395017, -0.02093050737054117, -0.01687318789622476, -0.049763304842335564, 0.05104338517412543, 0.04656382638119882, -0.07951916772271356, -0.13405818489169882, 0.3326284852960417, -0.13504265981816477, -0.306276663536987, 0.07612253067594382, -0.194615192471012, -0.20137118243221794, 0.04001209052700189, 0.1932822791559081, 0.2003941242132456, -0.0648015231314686, 0.17722604651897844, -0.11529882798992819, 0.044883372622632214, 0.1310986596790533, 0.05674769092471369, 0.06879123513616862, 0.10338831339932737, 0.1783572271646511, 0.21261148671469382, -0.08282763438840066, -0.10523864933319631, -0.3627646046300088, -0.2839197224426654, -0.13565516550724785, 0.11515293644380666, -0.11365354661933041, -0.19436523429448566, 0.3978417902553995, 0.04024624151568259, 0.17111150926399615, 0.17863238275411628, 0.1983591368602168, 0.11684523288521075, 0.05705112621428505, 0.10141708614725259, 0.11507417709236184, 0.22724835009824845, 0.08871703027116676, -0.1691208334016283, -0.0520998552711981, 0.23627944245573976] |
710.5415 | Generating functions for borders | We give the generating function for the index of integer lattice points,
relative to a finite order ideal. The index is an important concept in the
theory of border bases, an alternative to Gr\"obner bases.
Equivalently, we explicitly solve a class of difference equations where the
right-hand side is the minimum of a number of affine forms.
| math.CO | we give the generating function for the index of integer lattice points relative to a finite order ideal the index is an important concept in the theory of border bases an alternative to grobner bases equivalently we explicitly solve a class of difference equations where the righthand side is the minimum of a number of affine forms | [['we', 'give', 'the', 'generating', 'function', 'for', 'the', 'index', 'of', 'integer', 'lattice', 'points', 'relative', 'to', 'a', 'finite', 'order', 'ideal', 'the', 'index', 'is', 'an', 'important', 'concept', 'in', 'the', 'theory', 'of', 'border', 'bases', 'an', 'alternative', 'to', 'grobner', 'bases', 'equivalently', 'we', 'explicitly', 'solve', 'a', 'class', 'of', 'difference', 'equations', 'where', 'the', 'righthand', 'side', 'is', 'the', 'minimum', 'of', 'a', 'number', 'of', 'affine', 'forms']] | [-0.18683976446392767, 0.09300710687775311, -0.08834447486228064, 0.057038900397489205, -0.10876295806251858, -0.08586344059981536, 0.028341033322360824, 0.2900811424438041, -0.36597895717019574, -0.21415990355767703, 0.12968106550090996, -0.2775018927559518, -0.15115936767113836, 0.14676829184029708, -0.053077738683082555, 0.032510409246019105, -0.037778479030780625, 0.09091017445908826, -0.11209428877357328, -0.26600515973149685, 0.3570529824376041, 0.0362641525846955, 0.24622389536939168, 0.03010624026054549, 0.14011979269746103, 0.0002241536684889804, -0.00018924716533276072, 0.03869975605783494, -0.13209633586372724, 0.18337027826387303, 0.29478478444772854, 0.10233588320644278, 0.2704460425792556, -0.38814883048466425, -0.10457537288107631, 0.16559983611825788, 0.10173528820374295, 0.101345327993234, -0.030379566413007285, -0.12685626879203737, 0.0974600403161164, -0.1860785118483922, -0.1931702649269841, -0.01264890982859294, 0.07130114895316135, -0.0020905922640833937, -0.33995362998623596, 0.005894675744664774, 0.05271734661290426, 0.1163946737192179, -0.052564219130497226, -0.14960921804110208, 0.006305326887390069, 0.08990384375660174, -0.041764479110082776, 0.020081053831075366, 0.018677666162451107, -0.1283889754038108, -0.16017693084390966, 0.3730828582979085, -0.03757677674334366, -0.2846861249652871, 0.11546811254760414, -0.09373640389949606, -0.0719444138700502, 0.10529626118378681, 0.13780551148872627, 0.1444750829158645, -0.05472301745689229, 0.13429864597294414, -0.0953456826769469, 0.17630576760622493, 0.08059469677442521, 0.01955403677155182, 0.18504616044657796, 0.07099313905724046, 0.1281570260527364, 0.19627454102431474, -0.030121751905729372, -0.08970331658788941, -0.3555246799399978, -0.22999093343356722, -0.188922965555991, 0.06741233026249367, -0.13777181679758718, -0.24796074968681, 0.4072966798486417, 0.1004122837544664, 0.17529839831159302, 0.02986350412921686, 0.24776372973594749, 0.1824768243618963, 0.028686144271775623, 0.038858773725989615, 0.14402299938854157, 0.16763484114045768, -0.03714881937035866, -0.1981525380295097, 0.03089416836666172, 0.2219198452341452] |
710.5416 | Disorder and temperature dependence of the Anomalous Hall Effect in thin
ferromagnetic films: Microscopic model | We consider the Anomalous Hall Effect (AHE) in thin disordered ferromagnetic
films. Using a microscopic model of electrons in a random potential of
identical impurities including spin-orbit coupling, we develop a general
formulation for strong, finite range impurity scattering. Explicit calculations
are done within a short range but strong impurity scattering to obtain AH
conductivities for both the skew scattering and side jump mechanisms. We also
evaluate quantum corrections due to interactions and weak localization effects.
We show that for arbitrary strength of the impurity scattering, the
electron-electron interaction correction to the AH conductivity vanishes
exactly due to general symmetry reasons. On the other hand, we find that our
explicit evaluation of the weak localization corrections within the strong,
short range impurity scattering model can explain the experimentally observed
logarithmic temperature dependences in disordered ferromagnetic Fe films.
| cond-mat.dis-nn | we consider the anomalous hall effect ahe in thin disordered ferromagnetic films using a microscopic model of electrons in a random potential of identical impurities including spinorbit coupling we develop a general formulation for strong finite range impurity scattering explicit calculations are done within a short range but strong impurity scattering to obtain ah conductivities for both the skew scattering and side jump mechanisms we also evaluate quantum corrections due to interactions and weak localization effects we show that for arbitrary strength of the impurity scattering the electronelectron interaction correction to the ah conductivity vanishes exactly due to general symmetry reasons on the other hand we find that our explicit evaluation of the weak localization corrections within the strong short range impurity scattering model can explain the experimentally observed logarithmic temperature dependences in disordered ferromagnetic fe films | [['we', 'consider', 'the', 'anomalous', 'hall', 'effect', 'ahe', 'in', 'thin', 'disordered', 'ferromagnetic', 'films', 'using', 'a', 'microscopic', 'model', 'of', 'electrons', 'in', 'a', 'random', 'potential', 'of', 'identical', 'impurities', 'including', 'spinorbit', 'coupling', 'we', 'develop', 'a', 'general', 'formulation', 'for', 'strong', 'finite', 'range', 'impurity', 'scattering', 'explicit', 'calculations', 'are', 'done', 'within', 'a', 'short', 'range', 'but', 'strong', 'impurity', 'scattering', 'to', 'obtain', 'ah', 'conductivities', 'for', 'both', 'the', 'skew', 'scattering', 'and', 'side', 'jump', 'mechanisms', 'we', 'also', 'evaluate', 'quantum', 'corrections', 'due', 'to', 'interactions', 'and', 'weak', 'localization', 'effects', 'we', 'show', 'that', 'for', 'arbitrary', 'strength', 'of', 'the', 'impurity', 'scattering', 'the', 'electronelectron', 'interaction', 'correction', 'to', 'the', 'ah', 'conductivity', 'vanishes', 'exactly', 'due', 'to', 'general', 'symmetry', 'reasons', 'on', 'the', 'other', 'hand', 'we', 'find', 'that', 'our', 'explicit', 'evaluation', 'of', 'the', 'weak', 'localization', 'corrections', 'within', 'the', 'strong', 'short', 'range', 'impurity', 'scattering', 'model', 'can', 'explain', 'the', 'experimentally', 'observed', 'logarithmic', 'temperature', 'dependences', 'in', 'disordered', 'ferromagnetic', 'fe', 'films']] | [-0.15756242361130451, 0.18792963976271615, -0.02373236131278227, 0.12707360214927663, -0.05279168373748769, -0.20479103691712783, 0.037284379324707524, 0.3930931201843667, -0.2713955131012702, -0.24383852565593092, -0.01716725176699922, -0.32871521377161034, -0.12130368283072854, 0.15780332317978593, 0.06871948500986408, 0.010866985472775724, -0.017674397316890477, -0.05315566128187806, -0.11443376501369541, -0.20866596334474502, 0.2905079869512659, -0.0019830836970563025, 0.2904017384191227, 0.2180119178421034, 0.034537225047357546, 0.09378787189259799, 0.09177293321185738, 0.061572086232558, -0.14061957170193026, 0.030246631255930793, 0.2204190084704769, -0.17084074312358768, 0.15045716572743262, -0.4623016769161625, -0.21698034687917747, 0.02991134101307414, 0.1556349120062035, 0.2096679207943652, -0.0811917160401447, -0.28628401885856025, 0.02156598566705021, -0.18596366775242518, -0.12476057948435854, -0.08492036393918369, 0.05649713570265657, -0.026126202644549148, -0.2925182252456978, 0.09911343447645671, 0.0741752707637357, 0.05812074508585748, -0.09181450884687259, -0.09336910211059679, 0.008817601697451442, 0.07600569557806436, 0.07302103258319281, -0.01762087456882, 0.16585904426862533, -0.11575895844040783, -0.10318230675621788, 0.3611313672260429, -0.12077517942763376, -0.1311951356763224, 0.18707480127277382, -0.19362617641972907, -0.0781382272380275, 0.15393715682881373, 0.16440935978108515, 0.09782442382065644, -0.1625025132840948, 0.15347750279559572, -0.010968291819313147, 0.1535519870052481, 0.010352630977158564, 0.08223836748422307, 0.19707514731770884, 0.13976122389282405, -0.006351115419971247, 0.14877344050697888, -0.1380519914648149, -0.0737458617718768, -0.2896839361637831, -0.10073792577524038, -0.1816464207087555, 0.08178590469140505, -0.12263527527824554, -0.22990854010733702, 0.3305701541537623, 0.2293939726549561, 0.17201995745600357, 0.020082112474802093, 0.2518708494790986, 0.1466927177138477, 0.06369690428467563, 0.026433323370632682, 0.2771447125183296, 0.1819201283102488, 0.07442235931200503, -0.32592820437339537, 0.07778872805477603, 0.0477544793920306] |
710.5417 | Deflation acceleration of lattice QCD simulations | Close to the chiral limit, many calculations in numerical lattice QCD can
potentially be accelerated using low-mode deflation techniques. In this paper
it is shown that the recently introduced domain-decomposed deflation subspaces
can be propagated along the field trajectories generated by the Hybrid Monte
Carlo (HMC) algorithm with a modest effort. The quark forces that drive the
simulation may then be computed using a deflation-accelerated solver for the
lattice Dirac equation. As a consequence, the computer time required for the
simulations is significantly reduced and an improved scaling behaviour of the
simulation algorithm with respect to the quark mass is achieved.
| hep-lat | close to the chiral limit many calculations in numerical lattice qcd can potentially be accelerated using lowmode deflation techniques in this paper it is shown that the recently introduced domaindecomposed deflation subspaces can be propagated along the field trajectories generated by the hybrid monte carlo hmc algorithm with a modest effort the quark forces that drive the simulation may then be computed using a deflationaccelerated solver for the lattice dirac equation as a consequence the computer time required for the simulations is significantly reduced and an improved scaling behaviour of the simulation algorithm with respect to the quark mass is achieved | [['close', 'to', 'the', 'chiral', 'limit', 'many', 'calculations', 'in', 'numerical', 'lattice', 'qcd', 'can', 'potentially', 'be', 'accelerated', 'using', 'lowmode', 'deflation', 'techniques', 'in', 'this', 'paper', 'it', 'is', 'shown', 'that', 'the', 'recently', 'introduced', 'domaindecomposed', 'deflation', 'subspaces', 'can', 'be', 'propagated', 'along', 'the', 'field', 'trajectories', 'generated', 'by', 'the', 'hybrid', 'monte', 'carlo', 'hmc', 'algorithm', 'with', 'a', 'modest', 'effort', 'the', 'quark', 'forces', 'that', 'drive', 'the', 'simulation', 'may', 'then', 'be', 'computed', 'using', 'a', 'deflationaccelerated', 'solver', 'for', 'the', 'lattice', 'dirac', 'equation', 'as', 'a', 'consequence', 'the', 'computer', 'time', 'required', 'for', 'the', 'simulations', 'is', 'significantly', 'reduced', 'and', 'an', 'improved', 'scaling', 'behaviour', 'of', 'the', 'simulation', 'algorithm', 'with', 'respect', 'to', 'the', 'quark', 'mass', 'is', 'achieved']] | [-0.0740118050284218, 0.17118801291231647, -0.14977314185351134, 0.04180465780809754, -0.0345333858858794, -0.09188551445025951, 0.03158424331457354, 0.3866622857283801, -0.2966801496222615, -0.2997889222652884, 0.09439233950455674, -0.23442037250846626, -0.11879804075229913, 0.21705629161093384, 0.001688966010697186, 0.11240388188976795, 0.14068423584103584, -0.009801509091630578, -0.11807759988354519, -0.2584517160989344, 0.22718286700546741, 0.12310775541700422, 0.22895140956155957, 0.04437684284057468, 0.08495298562571406, -0.056402910901233554, 0.00395233360119164, 0.06488123433664442, -0.09064974732304108, 0.058833266012370586, 0.18819788789143785, 0.057935280967503784, 0.24765467135235666, -0.4417038373090327, -0.2151595556968823, 0.10205175974871963, 0.21483259567990898, 0.14941060036420822, -0.07655763649847358, -0.28083834490738807, 0.10871391093591228, -0.2123582217656076, -0.16920779415871948, -0.1326133949868381, -0.0849573050707113, -0.011205570120364428, -0.3131165140122175, 0.030424819663167, -0.03063802218530327, 0.008519175091569195, 0.02032457146793604, -0.11764472894370556, -0.032499782489612696, 0.06342545933672226, 0.06291544330189935, 0.12202600472141058, 0.11195156927104108, -0.09669748489977792, -0.15684481729986147, 0.4129461572319269, -0.04430953632108867, -0.24084818868897856, 0.16165100291371345, -0.07621008859481662, -0.10652318380307406, 0.16460721153765917, 0.15701969945803285, 0.11018893447238952, -0.1472848187488853, 0.09971400925831403, -0.027646935917437075, 0.16137822895427234, 0.025668134316802024, -0.0615574459778145, 0.15635297861415892, 0.1706979161128402, 0.036261982591240666, 0.11310755693004466, -0.05094028427731246, -0.15271033336175605, -0.256968942983076, -0.1236453828960657, -0.23348695954773574, 0.015851171892136334, -0.12469862455953262, -0.1400219380724593, 0.3637215549405664, 0.20453492266708054, 0.1513904727413319, 0.04096918868366629, 0.32782112683402376, 0.18310614709625953, 0.098056665873155, 0.10327190940733999, 0.2253602904465515, 0.13678176286397503, 0.09207781851291656, -0.29302822263794953, 0.012147341505624354, 0.12956525347195566] |
710.5418 | Nonlinear damping of slab modes and cosmic ray transport | By applying recent results for the slab correlation time scale onto cosmic
ray scattering theory, we compute cosmic ray parallel mean free paths within
the quasilinear limit. By employing these results onto charged particle
transport in the solar system, we demonstrate that much larger parallel mean
free paths can be obtained in comparison to previous results. A comparison with
solar wind observations is also presented to show that the new theoretical
results are much closer to the observations than the previous results.
| astro-ph | by applying recent results for the slab correlation time scale onto cosmic ray scattering theory we compute cosmic ray parallel mean free paths within the quasilinear limit by employing these results onto charged particle transport in the solar system we demonstrate that much larger parallel mean free paths can be obtained in comparison to previous results a comparison with solar wind observations is also presented to show that the new theoretical results are much closer to the observations than the previous results | [['by', 'applying', 'recent', 'results', 'for', 'the', 'slab', 'correlation', 'time', 'scale', 'onto', 'cosmic', 'ray', 'scattering', 'theory', 'we', 'compute', 'cosmic', 'ray', 'parallel', 'mean', 'free', 'paths', 'within', 'the', 'quasilinear', 'limit', 'by', 'employing', 'these', 'results', 'onto', 'charged', 'particle', 'transport', 'in', 'the', 'solar', 'system', 'we', 'demonstrate', 'that', 'much', 'larger', 'parallel', 'mean', 'free', 'paths', 'can', 'be', 'obtained', 'in', 'comparison', 'to', 'previous', 'results', 'a', 'comparison', 'with', 'solar', 'wind', 'observations', 'is', 'also', 'presented', 'to', 'show', 'that', 'the', 'new', 'theoretical', 'results', 'are', 'much', 'closer', 'to', 'the', 'observations', 'than', 'the', 'previous', 'results']] | [-0.053485864583153006, 0.18721417260992274, -0.051677195491587245, 0.07999106315560867, -0.0460916970765627, -0.03494377280642256, -0.006903201450945855, 0.40937624892174473, -0.24560200363942764, -0.3364963292530397, 0.028277145860512262, -0.32709859454686324, -0.07773750961939918, 0.29789459415308267, -0.024065236365081878, 0.04666181825237667, 0.13766495409285331, -0.025738577009178698, -0.07866761451814233, -0.23580141577915084, 0.240618129093491, 0.1486317482720152, 0.25691852716320174, 0.035823843416349005, 0.03566010865360135, -0.003334377871019902, -0.06377072391531817, 0.07811971640259754, -0.18698885783545316, 0.13021288433384787, 0.18655665999948523, 0.07556601346856574, 0.17859010207580356, -0.48856636502484724, -0.2864902834975865, 0.017485825503926453, 0.16517166364597294, 0.09277650967194903, -0.08036145776873682, -0.24945749001713788, 0.11699154638265055, -0.11152061491795792, -0.11812866943683929, 0.0032483953585075898, -0.04875699255229315, 0.03850728376745814, -0.2303686353900447, 0.0647367003310625, 0.003486747012996092, 0.01639505299148945, -0.11092313683148837, -0.1064977046349313, 0.024389682831696985, 0.06787821217212917, 0.09749735303211776, 0.07269662302896017, 0.13423043824505151, -0.06885472584016077, -0.12250113645043201, 0.3781738435258953, -0.1292918890371433, -0.17717302280546324, 0.2020493184625194, -0.22539451594532625, -0.10787091909044581, 0.1515859357910458, 0.13757216765704314, 0.111255315052936, -0.14995088044372273, 0.046228202139368145, -0.07766639098820345, 0.1379195123047727, 0.038841347434421684, -0.023198135021119948, 0.19331082897033633, 0.14071262518807157, 0.07306311133022352, 0.08614592313363285, -0.1094595161153049, -0.13825195036237922, -0.26789097201715156, -0.14233390332154203, -0.16928489456271253, 0.06808763022943423, -0.12449370665907315, -0.09416749072829034, 0.35137923350330535, 0.19759909563879596, 0.19444137514091847, 0.10091858792186874, 0.3067835026034495, 0.13556843473598723, 0.05206198731391895, 0.10681626262574843, 0.30149664461794423, 0.13023182190386806, 0.11409401041796295, -0.20120279573006328, 0.013567322593966, 0.07036589870297509] |
710.5419 | Another Look at AR(1) | Given a stationary first-order autoregressive process X_t (with lag-one
correlation rho satisfying |rho|<1), we examine the Central Limit Theorem for
(1/n)*ln |X_1...X_n| and compute variances to high precision. Given a
nonstationary process X_t (with |rho|>1), we examine instead (1/n)*ln|X_n| and
study the distribution of ln|X_n|-n*ln|rho|.
| math.DS math.PR math.ST stat.TH | given a stationary firstorder autoregressive process x_t with lagone correlation rho satisfying rho1 we examine the central limit theorem for 1nln x_1x_n and compute variances to high precision given a nonstationary process x_t with rho1 we examine instead 1nlnx_n and study the distribution of lnx_nnlnrho | [['given', 'a', 'stationary', 'firstorder', 'autoregressive', 'process', 'x_t', 'with', 'lagone', 'correlation', 'rho', 'satisfying', 'rho1', 'we', 'examine', 'the', 'central', 'limit', 'theorem', 'for', '1nln', 'x_1x_n', 'and', 'compute', 'variances', 'to', 'high', 'precision', 'given', 'a', 'nonstationary', 'process', 'x_t', 'with', 'rho1', 'we', 'examine', 'instead', '1nlnx_n', 'and', 'study', 'the', 'distribution', 'of', 'lnx_nnlnrho']] | [-0.1274326981567755, 0.09680446528080033, -0.10073592136727601, 0.09015214381068334, 0.01689413884972654, -0.18023959890280555, 0.08135298121629692, 0.371757010134255, -0.27660347743913893, -0.17923544283683707, 0.11418560776496078, -0.27045647600075096, -0.04028619412991514, 0.0716749352016827, -0.06795127509252691, 0.12001229740860986, -0.004950805374125882, 0.08274961362888174, -0.09641573650807869, -0.14294566413978252, 0.32588361796536824, 0.008785355109267118, 0.23111914205024156, -0.06715225882646514, 0.19671951902167098, 0.05668255032562628, -0.06525713779747759, -0.04230729283810389, -0.21605122759483936, 0.009705061320124603, 0.20458647268029248, 0.09073170338098596, 0.30835674048923867, -0.3403086132574372, -0.15331351446987287, 0.24888868332363484, 0.12340503490370948, -0.030174146610789182, 0.008087083470167183, -0.2871459083767926, 0.14603664030934252, -0.15339683277941332, -0.18436229619674566, -0.08815711223315902, 0.0917437711685169, 0.06339174351745808, -0.4280329702830896, 0.14812319089726703, 0.0994268675993492, 0.04298787168795016, -0.016180476696207757, -0.1065027997715444, 0.011394867514509981, 0.07656283040599125, 0.05163972592975081, 0.02384388662034237, 0.16140795133371905, -0.1284569935282556, -0.06886198796280774, 0.2925998733901396, -0.12493236258160323, -0.23703512903757212, 0.08759961790609651, -0.26164993684648014, -0.17184058127061622, 0.0969153810746786, 0.21029021901010378, 0.10892333494635617, -0.1304698988977002, 0.10639923806131886, -0.03832088501715079, 0.14095235452419375, 0.09399279009369088, 0.0008092080583659614, 0.16217902389059707, 0.13146231205361644, 0.03703187158467566, 0.17602108100928912, -0.1062790299425038, -0.1497483169887124, -0.38437870626405973, -0.1470074896677965, -0.19882306115838086, 0.1137139788806075, -0.1881671836706185, -0.18169104966630295, 0.26376717437694713, 0.16467031178905106, 0.2665249686688185, 0.184386852310925, 0.19346687910942043, 0.2559511376908276, -0.1319682016832436, 0.12770950414876386, 0.06186780670839476, 0.17718574186650718, 0.08664058719012069, -0.1523079937096776, 0.10435066810559208, 0.03484521363293979] |
710.542 | Testing MeV dark matter with neutrino detectors | MeV particles have been advocated as Dark Matter (DM) candidates in different
contexts. This hypothesis can be tested indirectly by searching for the
Standard Model (SM) products of DM self-annihilations. As the signal from DM
self-annihilations depends on the square of the DM density, we might expect a
sizable flux of annihilation products from our galaxy. Neutrinos are the least
detectable particles in the SM and a null signal in this channel would allow to
set the most conservative bound on the total annihilation cross section. Here,
we show that neutrino detectors with good energy resolution and low energy
thresholds can not only set bounds on the annihilation cross section but
actually test the hypothesis of the possible existence of MeV DM, i.e. test the
values of the cross section required to explain the observed DM density. At
present, the data in the (positron) energy interval [18-82] MeV of the
Super-Kamiokande experiment is already able to put a very stringent bound on
the annihilation cross section for masses between ~15-130 MeV. Future large
experiments, like megaton water-Cherenkov or large scintillator detectors, will
improve the present limits and, if MeV DM exists, would be able to detect it.
| astro-ph hep-ph | mev particles have been advocated as dark matter dm candidates in different contexts this hypothesis can be tested indirectly by searching for the standard model sm products of dm selfannihilations as the signal from dm selfannihilations depends on the square of the dm density we might expect a sizable flux of annihilation products from our galaxy neutrinos are the least detectable particles in the sm and a null signal in this channel would allow to set the most conservative bound on the total annihilation cross section here we show that neutrino detectors with good energy resolution and low energy thresholds can not only set bounds on the annihilation cross section but actually test the hypothesis of the possible existence of mev dm ie test the values of the cross section required to explain the observed dm density at present the data in the positron energy interval 1882 mev of the superkamiokande experiment is already able to put a very stringent bound on the annihilation cross section for masses between 15130 mev future large experiments like megaton watercherenkov or large scintillator detectors will improve the present limits and if mev dm exists would be able to detect it | [['mev', 'particles', 'have', 'been', 'advocated', 'as', 'dark', 'matter', 'dm', 'candidates', 'in', 'different', 'contexts', 'this', 'hypothesis', 'can', 'be', 'tested', 'indirectly', 'by', 'searching', 'for', 'the', 'standard', 'model', 'sm', 'products', 'of', 'dm', 'selfannihilations', 'as', 'the', 'signal', 'from', 'dm', 'selfannihilations', 'depends', 'on', 'the', 'square', 'of', 'the', 'dm', 'density', 'we', 'might', 'expect', 'a', 'sizable', 'flux', 'of', 'annihilation', 'products', 'from', 'our', 'galaxy', 'neutrinos', 'are', 'the', 'least', 'detectable', 'particles', 'in', 'the', 'sm', 'and', 'a', 'null', 'signal', 'in', 'this', 'channel', 'would', 'allow', 'to', 'set', 'the', 'most', 'conservative', 'bound', 'on', 'the', 'total', 'annihilation', 'cross', 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710.5421 | Towards the Modelling of the Second Solar Spectrum | This paper addresses the modelling issue of the linearly-polarized solar limb
spectrum, which is due to scattering processes and it offers a rich diagnostic
potential for exploring solar magnetic fields via the Hanle effect. However,
this so-called second solar spectrum is full of mysterious spectral features,
which cannot be understood with simplified polarization transfer theories, thus
suggesting that the underlying scattering physics is more complex than
previously thought. In this paper we argue that the physical understanding of
the second solar spectrum requires the consideration of scattering processes in
multilevel atomic models, taking fully into account the transfer of atomic
polarization among all the levels involved. The consideration of lower-level
atomic polarization leads to non-linear and non-local coupled sets of
equations, even for the two-level model atom case considered in this paper. The
unknowns of the problem are the irreducible tensor components of the atomic
density matrix whose self-consistent values have first to be obtained to be
able to calculate the emergent Stokes profiles. To solve numerically this
non-LTE problem of the second kind we present some iterative methods that are
very suitable for developing a general multilevel scattering polarization code.
We demonstrate that there exists metastable-level atomic polarization in the
solar chromosphere, which suggests that the solution to some
recently-formulated "paradoxes" is to be found by carefully revising our
current ideas about the chromospheric magnetic field.
| astro-ph | this paper addresses the modelling issue of the linearlypolarized solar limb spectrum which is due to scattering processes and it offers a rich diagnostic potential for exploring solar magnetic fields via the hanle effect however this socalled second solar spectrum is full of mysterious spectral features which cannot be understood with simplified polarization transfer theories thus suggesting that the underlying scattering physics is more complex than previously thought in this paper we argue that the physical understanding of the second solar spectrum requires the consideration of scattering processes in multilevel atomic models taking fully into account the transfer of atomic polarization among all the levels involved the consideration of lowerlevel atomic polarization leads to nonlinear and nonlocal coupled sets of equations even for the twolevel model atom case considered in this paper the unknowns of the problem are the irreducible tensor components of the atomic density matrix whose selfconsistent values have first to be obtained to be able to calculate the emergent stokes profiles to solve numerically this nonlte problem of the second kind we present some iterative methods that are very suitable for developing a general multilevel scattering polarization code we demonstrate that there exists metastablelevel atomic polarization in the solar chromosphere which suggests that the solution to some recentlyformulated paradoxes is to be found by carefully revising our current ideas about the chromospheric magnetic field | [['this', 'paper', 'addresses', 'the', 'modelling', 'issue', 'of', 'the', 'linearlypolarized', 'solar', 'limb', 'spectrum', 'which', 'is', 'due', 'to', 'scattering', 'processes', 'and', 'it', 'offers', 'a', 'rich', 'diagnostic', 'potential', 'for', 'exploring', 'solar', 'magnetic', 'fields', 'via', 'the', 'hanle', 'effect', 'however', 'this', 'socalled', 'second', 'solar', 'spectrum', 'is', 'full', 'of', 'mysterious', 'spectral', 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710.5422 | Exact analytical solution of the problem of current-carrying states of
the Josephson junction in external magnetic fields | The classical problem of the Josephson junction of arbitrary length W in the
presence of externally applied magnetic fields (H) and transport currents (J)
is reconsidered from the point of view of stability theory. In particular, we
derive the complete infinite set of exact analytical solutions for the phase
difference that describe the current-carrying states of the junction with
arbitrary W and an arbitrary mode of the injection of J. These solutions are
parameterized by two natural parameters: the constants of integration. The
boundaries of their stability regions in the parametric plane are determined by
a corresponding infinite set of exact functional equations. Being mapped to the
physical plane (H,J), these boundaries yield the dependence of the critical
transport current Jc on H. Contrary to a wide-spread belief, the exact
analytical dependence Jc=Jc(H) proves to be multivalued even for arbitrarily
small W. What is more, the exact solution reveals the existence of unquantized
Josephson vortices carrying fractional flux and located near one of the
junction edges, provided that J is sufficiently close to Jc for certain finite
values of H. This conclusion (as well as other exact analytical results) is
illustrated by a graphical analysis of typical cases.
| cond-mat.supr-con nlin.PS | the classical problem of the josephson junction of arbitrary length w in the presence of externally applied magnetic fields h and transport currents j is reconsidered from the point of view of stability theory in particular we derive the complete infinite set of exact analytical solutions for the phase difference that describe the currentcarrying states of the junction with arbitrary w and an arbitrary mode of the injection of j these solutions are parameterized by two natural parameters the constants of integration the boundaries of their stability regions in the parametric plane are determined by a corresponding infinite set of exact functional equations being mapped to the physical plane hj these boundaries yield the dependence of the critical transport current jc on h contrary to a widespread belief the exact analytical dependence jcjch proves to be multivalued even for arbitrarily small w what is more the exact solution reveals the existence of unquantized josephson vortices carrying fractional flux and located near one of the junction edges provided that j is sufficiently close to jc for certain finite values of h this conclusion as well as other exact analytical results is illustrated by a graphical analysis of typical cases | [['the', 'classical', 'problem', 'of', 'the', 'josephson', 'junction', 'of', 'arbitrary', 'length', 'w', 'in', 'the', 'presence', 'of', 'externally', 'applied', 'magnetic', 'fields', 'h', 'and', 'transport', 'currents', 'j', 'is', 'reconsidered', 'from', 'the', 'point', 'of', 'view', 'of', 'stability', 'theory', 'in', 'particular', 'we', 'derive', 'the', 'complete', 'infinite', 'set', 'of', 'exact', 'analytical', 'solutions', 'for', 'the', 'phase', 'difference', 'that', 'describe', 'the', 'currentcarrying', 'states', 'of', 'the', 'junction', 'with', 'arbitrary', 'w', 'and', 'an', 'arbitrary', 'mode', 'of', 'the', 'injection', 'of', 'j', 'these', 'solutions', 'are', 'parameterized', 'by', 'two', 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710.5423 | The immune system: look who's talking | Human language and its governing rules present a number of analogies with the
organization and structure of communication and information management in
living organisms. This chapter will provide a short general introduction about
grammar, as well as a brief explanation on how linguistic approaches
effectively contaminate scientific practice, and, finally, how they can also
provide systems biology with further tools and paradigms to analyse emergent
behaviours and interactions among the components of a biological system.
| q-bio.OT | human language and its governing rules present a number of analogies with the organization and structure of communication and information management in living organisms this chapter will provide a short general introduction about grammar as well as a brief explanation on how linguistic approaches effectively contaminate scientific practice and finally how they can also provide systems biology with further tools and paradigms to analyse emergent behaviours and interactions among the components of a biological system | [['human', 'language', 'and', 'its', 'governing', 'rules', 'present', 'a', 'number', 'of', 'analogies', 'with', 'the', 'organization', 'and', 'structure', 'of', 'communication', 'and', 'information', 'management', 'in', 'living', 'organisms', 'this', 'chapter', 'will', 'provide', 'a', 'short', 'general', 'introduction', 'about', 'grammar', 'as', 'well', 'as', 'a', 'brief', 'explanation', 'on', 'how', 'linguistic', 'approaches', 'effectively', 'contaminate', 'scientific', 'practice', 'and', 'finally', 'how', 'they', 'can', 'also', 'provide', 'systems', 'biology', 'with', 'further', 'tools', 'and', 'paradigms', 'to', 'analyse', 'emergent', 'behaviours', 'and', 'interactions', 'among', 'the', 'components', 'of', 'a', 'biological', 'system']] | [-0.07567930798201511, 0.11379806268960238, -0.1084268912835978, 0.12027884538440654, -0.14140910928448042, -0.13509633862103024, 0.06810532233056922, 0.3544920977950096, -0.279443069199721, -0.3591973751783371, 0.10173878284016004, -0.2589987850561738, -0.2943985020990173, 0.1709563659876585, -0.09385993914368251, -0.03641218620119616, 0.07366052585964401, 0.04677199442948525, 0.007070076513725022, -0.20869129185564816, 0.26966475069522855, 0.06806966201712687, 0.2805865972644339, 0.06880126430342595, 0.08840279903262854, -0.017884553171073396, -0.049694857001304625, 0.014856456480920315, -0.13353655950476725, 0.2021047941967845, 0.3596150443330407, 0.25723943404853344, 0.3031396707675109, -0.4848020468155543, -0.21972195653244853, 0.04407075443615516, 0.18433842725430927, 0.1147731813043356, -0.0189003265540426, -0.27287121139466763, 0.011635421477258205, -0.1832462722870211, -0.10975397169589997, -0.15312735474047562, 0.03757455213616292, 0.061272526383399965, -0.1654858415783383, 0.012782994182392335, 0.10429869464443375, 0.14871348132689793, -0.03947809930619163, -0.09460037507116795, 0.03311660985772808, 0.1951500229475399, 0.045358251842359705, -0.025024411319755017, 0.16454793721437455, -0.16803916914698977, -0.18003719749550023, 0.4256685688594977, 0.01372887651901692, -0.2099730242540439, 0.26662043820600956, -0.05370902370661497, -0.16852143900779387, 0.003435046716282765, 0.23104804813861846, 0.027054738253355026, -0.21196831518240894, 0.04066127923782915, 0.040446331277489665, 0.20977329805493355, 0.034010191050668555, 0.1120356432107898, 0.2803102994461854, 0.2230631930505236, -0.0027571208442289693, 0.10037170680084576, 0.024519079895690084, -0.10839391932512323, -0.2884921159346898, -0.15489809382085998, -0.08115994946410258, 0.04887612205619613, -0.05032277157413773, -0.14443190256754557, 0.3844997287789981, 0.188643703336517, 0.1457214382865277, 0.060255048225323356, 0.31301090290149053, -0.0005743170777956645, 0.05007212907308713, 0.007077645417302847, 0.12337648838137587, 0.09891144459446272, 0.19579923995460072, -0.1677280835310618, 0.08595768632056812, -0.018798331148864235] |
710.5424 | Search for TeV Scale Physics in Heavy Flavour Decays | The subject of heavy flavour decays as probes for physics beyond the TeV
scale is covered from the experimental perspective. Emphasis is placed on the
more traditional Beyond the Standard Model topics that have potential for
impact in the short term, with the physics explained. We do unabashedly promote
our own phemonenology work.
| hep-ex hep-ph | the subject of heavy flavour decays as probes for physics beyond the tev scale is covered from the experimental perspective emphasis is placed on the more traditional beyond the standard model topics that have potential for impact in the short term with the physics explained we do unabashedly promote our own phemonenology work | [['the', 'subject', 'of', 'heavy', 'flavour', 'decays', 'as', 'probes', 'for', 'physics', 'beyond', 'the', 'tev', 'scale', 'is', 'covered', 'from', 'the', 'experimental', 'perspective', 'emphasis', 'is', 'placed', 'on', 'the', 'more', 'traditional', 'beyond', 'the', 'standard', 'model', 'topics', 'that', 'have', 'potential', 'for', 'impact', 'in', 'the', 'short', 'term', 'with', 'the', 'physics', 'explained', 'we', 'do', 'unabashedly', 'promote', 'our', 'own', 'phemonenology', 'work']] | [-0.00621527766891043, 0.15541332010544984, -0.07550236911458127, 0.12628701656563757, -0.09518823889540691, -0.1663096261201609, 0.048821396370162716, 0.3092130735954818, -0.2529570170970378, -0.31868929576640037, 0.07660280590119097, -0.324271595361186, -0.05916348282320827, 0.22233794695085973, -0.0002954155206680298, -0.0008521619088509504, 0.04562868819772905, 0.048137514651113864, -0.0481676795364668, -0.2215777081437409, 0.2797474213693218, 0.11302413901898499, 0.23971703156427132, 0.13727032749311013, -0.019568529336110634, 0.009330951599586829, -0.08213246984443828, 0.00882905294351718, -0.11329770773519675, 0.09434856797623284, 0.1841937678993917, 0.10887084436584629, 0.25108220384401436, -0.47608931516023245, -0.24242614673487112, 0.07024450300663125, 0.12684006782650364, 0.09645408912397482, -0.10966068606591993, -0.2942769077113446, 0.039032036456845554, -0.19251811379274608, -0.132103456869064, -0.01201724158782585, -0.04185404732604237, -0.007348758442436948, -0.22169354257593846, 0.06975314252571586, 0.04272977733875022, 0.060453349413971104, 0.0033941603740494626, -0.1984751707344663, 0.049161571612143344, 0.10382563425410613, 0.12803787062875926, 0.04654316897230113, 0.16628918231592751, -0.18562965058520728, -0.13079428671877466, 0.459233094664181, -0.07433651455258038, -0.19584470110781052, 0.22676150950000568, -0.1498827276587048, -0.1530783862039885, 0.03973305334483145, 0.22670522861167852, 0.06926165776802044, -0.13629393237551637, 0.18616834305701593, -0.02314481382057363, 0.15348991730670428, -0.0141366442617522, 0.10759314294794903, 0.2670770782210371, 0.27809303776160177, 0.018173323734206895, 0.05614368102111507, -0.07433275027912767, -0.13662472433027098, -0.3825124069208316, -0.0371304215936392, -0.14498850299666324, 0.020445284780626204, 0.020312592286762653, -0.08136660755411082, 0.4319839751822691, 0.19704435329299932, 0.20933059586540742, 0.004011719451085025, 0.25847604683618625, 0.024535697930510723, 0.10371852857882485, -0.009155006732280348, 0.3379286247689058, 0.05987659695686078, 0.15793489775273437, -0.16013707687585232, 0.07297435418392222, 0.03660921541535679] |
710.5425 | Fuzzy Private Matching (Extended Abstract) | In the private matching problem, a client and a server each hold a set of $n$
input elements. The client wants to privately compute the intersection of these
two sets: he learns which elements he has in common with the server (and
nothing more), while the server gains no information at all. In certain
applications it would be useful to have a private matching protocol that
reports a match even if two elements are only similar instead of equal. Such a
private matching protocol is called \emph{fuzzy}, and is useful, for instance,
when elements may be inaccurate or corrupted by errors.
We consider the fuzzy private matching problem, in a semi-honest environment.
Elements are similar if they match on $t$ out of $T$ attributes. First we show
that the original solution proposed by Freedman et al. is incorrect.
Subsequently we present two fuzzy private matching protocols. The first,
simple, protocol has bit message complexity $O(n \binom{T}{t} (T
\log{|D|}+k))$. The second, improved, protocol has a much better bit message
complexity of $O(n T (\log{|D|}+k))$, but here the client incurs a O(n) factor
time complexity. Additionally, we present protocols based on the computation of
the Hamming distance and on oblivious transfer, that have different, sometimes
more efficient, performance characteristics.
| cs.CR | in the private matching problem a client and a server each hold a set of n input elements the client wants to privately compute the intersection of these two sets he learns which elements he has in common with the server and nothing more while the server gains no information at all in certain applications it would be useful to have a private matching protocol that reports a match even if two elements are only similar instead of equal such a private matching protocol is called emphfuzzy and is useful for instance when elements may be inaccurate or corrupted by errors we consider the fuzzy private matching problem in a semihonest environment elements are similar if they match on t out of t attributes first we show that the original solution proposed by freedman et al is incorrect subsequently we present two fuzzy private matching protocols the first simple protocol has bit message complexity on binomtt t logdk the second improved protocol has a much better bit message complexity of on t logdk but here the client incurs a on factor time complexity additionally we present protocols based on the computation of the hamming distance and on oblivious transfer that have different sometimes more efficient performance characteristics | [['in', 'the', 'private', 'matching', 'problem', 'a', 'client', 'and', 'a', 'server', 'each', 'hold', 'a', 'set', 'of', 'n', 'input', 'elements', 'the', 'client', 'wants', 'to', 'privately', 'compute', 'the', 'intersection', 'of', 'these', 'two', 'sets', 'he', 'learns', 'which', 'elements', 'he', 'has', 'in', 'common', 'with', 'the', 'server', 'and', 'nothing', 'more', 'while', 'the', 'server', 'gains', 'no', 'information', 'at', 'all', 'in', 'certain', 'applications', 'it', 'would', 'be', 'useful', 'to', 'have', 'a', 'private', 'matching', 'protocol', 'that', 'reports', 'a', 'match', 'even', 'if', 'two', 'elements', 'are', 'only', 'similar', 'instead', 'of', 'equal', 'such', 'a', 'private', 'matching', 'protocol', 'is', 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'and', 'on', 'oblivious', 'transfer', 'that', 'have', 'different', 'sometimes', 'more', 'efficient', 'performance', 'characteristics']] | [-0.14347862910130635, 0.047045463303865616, -0.09436769380917763, 0.07390323709214813, -0.07147550262886976, -0.2636232316262304, 0.1445355761057601, 0.4038475174869736, -0.26777963177415687, -0.30627644500406137, 0.10536817347933652, -0.2947576062207849, -0.10231564754707363, 0.1677956889834246, -0.16264951833982016, 0.06975947212934806, 0.07031838168513965, 0.1082471047890524, -0.0246657000796117, -0.3458676165373528, 0.29706019864835104, 0.026357974606913658, 0.2581268296521983, 0.006857067848936531, 0.08577994007176806, 0.010652380201763708, -0.02360743871922123, 0.006150990818613415, -0.08681860239197829, 0.1013543711656365, 0.2498924229798719, 0.20903371609380386, 0.29045561711611273, -0.41708047736637993, -0.14261924124923833, 0.11113556118893066, 0.12011060823360688, 0.12013007332559382, -0.051888388163654424, -0.2384387447585907, 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710.5426 | On the existence of a v_2^32-self map on M(1,4) at the prime 2 | Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a
minimal v_1-self map v_1^4: Sigma^8 M(1) -> M(1). Let M(1,4) be the cofiber of
this self-map. The purpose of this paper is to prove that M(1,4) admits a
minimal v_2-self map of the form v_2^32: Sigma^192 M(1,4) -> M(1,4). The
existence of this map implies the existence of many 192-periodic families of
elements in the stable homotopy groups of spheres.
| math.AT | let m1 be the mod 2 moore spectrum jf adams proved that m1 admits a minimal v_1self map v_14 sigma8 m1 m1 let m14 be the cofiber of this selfmap the purpose of this paper is to prove that m14 admits a minimal v_2self map of the form v_232 sigma192 m14 m14 the existence of this map implies the existence of many 192periodic families of elements in the stable homotopy groups of spheres | [['let', 'm1', 'be', 'the', 'mod', '2', 'moore', 'spectrum', 'jf', 'adams', 'proved', 'that', 'm1', 'admits', 'a', 'minimal', 'v_1self', 'map', 'v_14', 'sigma8', 'm1', 'm1', 'let', 'm14', 'be', 'the', 'cofiber', 'of', 'this', 'selfmap', 'the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'prove', 'that', 'm14', 'admits', 'a', 'minimal', 'v_2self', 'map', 'of', 'the', 'form', 'v_232', 'sigma192', 'm14', 'm14', 'the', 'existence', 'of', 'this', 'map', 'implies', 'the', 'existence', 'of', 'many', '192periodic', 'families', 'of', 'elements', 'in', 'the', 'stable', 'homotopy', 'groups', 'of', 'spheres']] | [-0.2557282955048309, 0.10943229006522376, -0.10444400621497113, 0.056645994314222015, -0.016960067431563915, -0.12139887426156497, 0.002687094815790761, 0.25657451181820984, -0.2463564814567782, -0.2191970699156324, 0.09205977889149031, -0.2561941332035307, -0.12579603207068166, 0.1606264210616549, -0.1381710326380056, -0.0650892650735551, 0.08759701073480149, 0.0976068877119004, -0.0688133617201685, -0.19861894424842752, 0.32859845254300296, -0.03944921966615147, 0.1344826849592631, -0.011515963795608368, 0.07666595111452583, -0.06353706875950962, 0.052874118980506195, -0.061692808262086, -0.23744872488537838, 0.12861411818775578, 0.2736334021648635, 0.11433415747571575, 0.20261746860932614, -0.2811347381684227, -0.1608231196152991, 0.2914830149029908, 0.15835269804423055, -0.07836635309554961, 0.025887193600309714, -0.23598827706460934, 0.2381987402188605, -0.16312954968948296, -0.1877465241899093, -0.040551504228210106, 0.1163881102549857, -0.002583025617228038, -0.2885554178307454, 0.013096255844161995, 0.17279737221374028, 0.08026970763677273, -0.10645874207704395, -0.08966827556571882, -0.11659174409789452, 0.0880213954175512, -0.008743533206617703, 0.11022479776158065, 0.0452339818087015, -0.014061752745571235, -0.04641260140561971, 0.3483153689463717, -0.07944946726649135, -0.16879485388272913, 0.08237836972398656, -0.18605068150192391, -0.20249876863174682, 0.1599346593670223, 0.0018922408529813738, 0.16780947663051926, -0.035450144508934536, 0.22676237220403508, -0.1361187154940073, 0.18643969339251087, 0.13070168761887413, -0.07600254967700744, 0.14846053909834311, 0.07095281121091566, 0.12811781560404875, 0.13470581613575527, -0.03743828654937122, 0.02007130410630202, -0.303437062687632, -0.1620367720345224, -0.11550724172991687, 0.18285182550333548, -0.12387513380794637, -0.18782268124767512, 0.3761442282162877, 0.03504388857686865, 0.19080966642882297, 0.12928627233317905, 0.1740546508597723, 0.06893816675342944, -0.0261301681385848, 0.08776232664324883, 0.1857623094490365, 0.2483949105700721, -0.028496112188567287, -0.17166192832983274, -0.056291462756538145, 0.23013926943953056] |
710.5427 | Three-dimensional Radiative Transfer with Multilevel Atoms | The efficient numerical solution of Non-LTE multilevel transfer problems
requires the combination of highly convergent iterative schemes with fast and
accurate formal solution methods of the radiative transfer (RT) equation. This
contribution begins presenting a method for the formal solution of the RT
equation in three-dimensional (3D) media with horizontal periodic boundary
conditions. This formal solver is suitable for both, unpolarized and polarized
3D radiative transfer and it can be easily combined with the iterative schemes
for solving non-LTE multilevel transfer problems that we have developed over
the last few years. We demonstrate this by showing some schematic 3D multilevel
calculations that illustrate the physical effects of horizontal radiative
transfer. These Non-LTE calculations have been carried out with our code MUGA
3D, a 3D multilevel Non-LTE code based on the Gauss-Seidel iterative scheme
that Trujillo Bueno and Fabiani Bendicho (1995) developed for RT applications.
| astro-ph | the efficient numerical solution of nonlte multilevel transfer problems requires the combination of highly convergent iterative schemes with fast and accurate formal solution methods of the radiative transfer rt equation this contribution begins presenting a method for the formal solution of the rt equation in threedimensional 3d media with horizontal periodic boundary conditions this formal solver is suitable for both unpolarized and polarized 3d radiative transfer and it can be easily combined with the iterative schemes for solving nonlte multilevel transfer problems that we have developed over the last few years we demonstrate this by showing some schematic 3d multilevel calculations that illustrate the physical effects of horizontal radiative transfer these nonlte calculations have been carried out with our code muga 3d a 3d multilevel nonlte code based on the gaussseidel iterative scheme that trujillo bueno and fabiani bendicho 1995 developed for rt applications | [['the', 'efficient', 'numerical', 'solution', 'of', 'nonlte', 'multilevel', 'transfer', 'problems', 'requires', 'the', 'combination', 'of', 'highly', 'convergent', 'iterative', 'schemes', 'with', 'fast', 'and', 'accurate', 'formal', 'solution', 'methods', 'of', 'the', 'radiative', 'transfer', 'rt', 'equation', 'this', 'contribution', 'begins', 'presenting', 'a', 'method', 'for', 'the', 'formal', 'solution', 'of', 'the', 'rt', 'equation', 'in', 'threedimensional', '3d', 'media', 'with', 'horizontal', 'periodic', 'boundary', 'conditions', 'this', 'formal', 'solver', 'is', 'suitable', 'for', 'both', 'unpolarized', 'and', 'polarized', '3d', 'radiative', 'transfer', 'and', 'it', 'can', 'be', 'easily', 'combined', 'with', 'the', 'iterative', 'schemes', 'for', 'solving', 'nonlte', 'multilevel', 'transfer', 'problems', 'that', 'we', 'have', 'developed', 'over', 'the', 'last', 'few', 'years', 'we', 'demonstrate', 'this', 'by', 'showing', 'some', 'schematic', '3d', 'multilevel', 'calculations', 'that', 'illustrate', 'the', 'physical', 'effects', 'of', 'horizontal', 'radiative', 'transfer', 'these', 'nonlte', 'calculations', 'have', 'been', 'carried', 'out', 'with', 'our', 'code', 'muga', '3d', 'a', '3d', 'multilevel', 'nonlte', 'code', 'based', 'on', 'the', 'gaussseidel', 'iterative', 'scheme', 'that', 'trujillo', 'bueno', 'and', 'fabiani', 'bendicho', '1995', 'developed', 'for', 'rt', 'applications']] | [-0.04256159436936543, -0.02856914723344462, -0.06116592360030807, 0.05974076899640839, -0.05905407980825542, -0.1763488197515548, 0.023279661164105816, 0.44161983927659376, -0.2613953163283287, -0.28219093330545536, 0.10892010770301977, -0.22231751045500728, -0.1257041169291126, 0.23003253560762485, 0.008824877509794814, 0.1325066965729208, 0.16023164018201577, -0.1313006175931176, -0.12726675607690352, -0.20815015220883445, 0.3367917168767414, 0.07604066800312992, 0.25318379042355316, 0.029957460305115705, 0.0793001938432547, -0.05685395287336703, -0.0779289520332511, 0.007952957604290314, -0.12139753927717528, 0.11971340716232769, 0.24963932257460456, 0.10952450070221921, 0.27941040072957396, -0.4847985097849873, -0.28684875127715126, -0.012804875986545648, 0.16236345379442815, 0.1900460430958741, -0.09910711143116638, -0.21027909123509284, 0.09130955698758915, -0.20049028223524737, -0.07203277209970418, -0.13302247057108105, -0.02761709997036927, 0.006323103779848193, -0.3332602556952288, 0.01596211033551888, 0.04639742283550629, 0.08746813270695832, -0.05631607491850958, -0.13677341750704905, -0.02218274946052345, 0.0961029313990033, -0.02772751129986587, -0.010476796905851175, 0.05498616199638747, -0.06571903636738081, -0.08396963506746827, 0.37873527307299454, -0.055440147974672664, -0.21154817118322555, 0.16909774160012603, -0.04960026462483679, -0.09667693018506636, 0.2036816889578378, 0.14797832155075502, 0.22917730095599528, -0.12956270173808535, 0.08331653453626106, -0.03307996879735122, 0.16019977590652892, 0.00665842722052, -0.08986120873694899, 0.15306970692226585, 0.15262743945456517, -0.004123836545877053, 0.0918244981120052, -0.10224545840829821, -0.1641469111298801, -0.2274617365574543, -0.1667266566785746, -0.12474290080512808, 0.05714052399082608, -0.0819198591663325, -0.18389900062482437, 0.3529305553243241, 0.18814602020708188, 0.10984635159609393, 0.01654651654149655, 0.37306760628970054, 0.15432675944642874, 0.03343982922739651, 0.1276632691766332, 0.1941138543018458, 0.147905663700289, 0.1756756812191411, -0.3038239671392071, -0.0007204904739948278, 0.14588983091328975] |
710.5428 | Discretized Volumes in Numerical Methods | We present two techniques novel in numerical methods. The first technique
compiles the domain of the numerical methods as a discretized volume. Congruent
elements are glued together to compile the domain over which the solution of a
boundary value problem is sought. We associate a group and a graph to that
volume. When the group is symmetry of the boundary value problem under
investigation, one can specify the structure of the solution, and find out if
there are equispectral volumes of a given type. The second technique uses a
complex mapping to transplant the solution from volume to volume and a
correction function. Equation for the correction function is given. A simple
example demonstrates the feasibility of the suggested method.
| math-ph math.MP | we present two techniques novel in numerical methods the first technique compiles the domain of the numerical methods as a discretized volume congruent elements are glued together to compile the domain over which the solution of a boundary value problem is sought we associate a group and a graph to that volume when the group is symmetry of the boundary value problem under investigation one can specify the structure of the solution and find out if there are equispectral volumes of a given type the second technique uses a complex mapping to transplant the solution from volume to volume and a correction function equation for the correction function is given a simple example demonstrates the feasibility of the suggested method | [['we', 'present', 'two', 'techniques', 'novel', 'in', 'numerical', 'methods', 'the', 'first', 'technique', 'compiles', 'the', 'domain', 'of', 'the', 'numerical', 'methods', 'as', 'a', 'discretized', 'volume', 'congruent', 'elements', 'are', 'glued', 'together', 'to', 'compile', 'the', 'domain', 'over', 'which', 'the', 'solution', 'of', 'a', 'boundary', 'value', 'problem', 'is', 'sought', 'we', 'associate', 'a', 'group', 'and', 'a', 'graph', 'to', 'that', 'volume', 'when', 'the', 'group', 'is', 'symmetry', 'of', 'the', 'boundary', 'value', 'problem', 'under', 'investigation', 'one', 'can', 'specify', 'the', 'structure', 'of', 'the', 'solution', 'and', 'find', 'out', 'if', 'there', 'are', 'equispectral', 'volumes', 'of', 'a', 'given', 'type', 'the', 'second', 'technique', 'uses', 'a', 'complex', 'mapping', 'to', 'transplant', 'the', 'solution', 'from', 'volume', 'to', 'volume', 'and', 'a', 'correction', 'function', 'equation', 'for', 'the', 'correction', 'function', 'is', 'given', 'a', 'simple', 'example', 'demonstrates', 'the', 'feasibility', 'of', 'the', 'suggested', 'method']] | [-0.1113274386851117, -0.004968262060234944, -0.12038769714223842, 0.02060040792663737, -0.09172057466736684, -0.09170848562692603, 0.06715389121285019, 0.35318661961549275, -0.29881758680567144, -0.2720098573763001, 0.15425491334851055, -0.28225970997785527, -0.15285520517500117, 0.19497139275384445, -0.06971596724664171, 0.04664139820573231, 0.06789030505266662, 0.0593379854496258, -0.096385930441708, -0.21293243473555776, 0.33935011620633304, -0.03536242498861005, 0.26176507275862, 0.053079723847622516, 0.13544746330784013, -0.031002362786481778, -0.03321964005784442, 0.06972282724454999, -0.12862948334301716, 0.12408904533367604, 0.21585898583677288, 0.1274103250548554, 0.3002768535652043, -0.3783549816502879, -0.19547657235525548, 0.10114949324245875, 0.09619383519360175, 0.12350410459233292, -0.06600896211142147, -0.2413364297011867, 0.11279911277427648, -0.140594351652544, -0.15712358242987345, -0.05934572272623579, -0.006499848157788316, -0.008746804902330041, -0.2892949366539445, 0.0417998684104532, -0.0010082507879512074, 0.012168856632585327, -0.08224593338673003, -0.08713527192206433, 0.01756785950662258, 0.14208883027240518, 0.02010702795620697, 0.04930002392502501, 0.07282882384921928, -0.10093799334717915, -0.07008674292980382, 0.39963503312319515, -0.03689833047101274, -0.24863679199479521, 0.14785186776037637, -0.11422646550927311, -0.11110980216180906, 0.15178136253186192, 0.15524507738494625, 0.15516567901941017, -0.13850840315293075, 0.08930243605136638, -0.04547256114310585, 0.20039446819573642, 0.029771850747056305, -0.07099769023091843, 0.15636089912150056, 0.18712404505931773, 0.10549507304870834, 0.16631210201788538, -0.05444370936214303, -0.05791378812864423, -0.3500743114738725, -0.19607435336026052, -0.20157541621398803, 0.021836501561726132, -0.0822344585822672, -0.1922051147868236, 0.3865580008675655, 0.11036714724808311, 0.19655018398771062, 0.03878761500915668, 0.2857473010507723, 0.11998899309255648, 0.09517076697666198, 0.05407799891739463, 0.15219662752642762, 0.11646958671626635, 0.06813989823276642, -0.22429098179103069, 0.022558412989989545, 0.14671554850259175] |
710.5429 | Stellar contents and star formation in the young star cluster Be 59 | We present $UBVI_C$ CCD photometry of the young open cluster Be 59 with the
aim to study the star formation scenario in the cluster. The radial extent of
the cluster is found to be $\sim$ 10 arcmin (2.9 pc). The interstellar
extinction in the cluster region varies between $E(B-V) \simeq$ 1.4 to 1.8 mag.
The ratio of total-to-selective extinction in the cluster region is estimated
as $3.7\pm0.3$. The distance of the cluster is found to be $1.00\pm0.05$ kpc.
Using near-infrared colours and slitless spectroscopy, we have identified young
stellar objects (YSOs) in the open cluster Be 59 region. The ages of these YSOs
range between $<1$ Myr to $\sim$ 2 Myr, whereas the mean age of the massive
stars in the cluster region is found to be $\sim$ 2 Myr. There is evidence for
second generation star formation outside the boundary of the cluster, which may
be triggered by massive stars in the cluster. The slope of the initial mass
function, $\Gamma$, in the mass range $2.5 < M/M_\odot \le 28$ is found to be
$-1.01\pm0.11$ which is shallower than the Salpeter value (-1.35), whereas in
the mass range $1.5 < M/M_\odot \le 2.5$ the slope is almost flat. The slope of
the K-band luminosity function is estimated as $0.27\pm0.02$, which is smaller
than the average value ($\sim$0.4) reported for young embedded clusters.
Approximately 32% of H$\alpha$ emission stars of Be 59 exhibit NIR excess
indicating that inner disks of the T-Tauri star (TTS) population have not
dissipated. The MSX and IRAS-HIRES images around the cluster region are also
used to study the emission from unidentified infrared bands and to estimate the
spatial distribution of optical depth of warm and cold interstellar dust.
| astro-ph | we present ubvi_c ccd photometry of the young open cluster be 59 with the aim to study the star formation scenario in the cluster the radial extent of the cluster is found to be sim 10 arcmin 29 pc the interstellar extinction in the cluster region varies between ebv simeq 14 to 18 mag the ratio of totaltoselective extinction in the cluster region is estimated as 37pm03 the distance of the cluster is found to be 100pm005 kpc using nearinfrared colours and slitless spectroscopy we have identified young stellar objects ysos in the open cluster be 59 region the ages of these ysos range between 1 myr to sim 2 myr whereas the mean age of the massive stars in the cluster region is found to be sim 2 myr there is evidence for second generation star formation outside the boundary of the cluster which may be triggered by massive stars in the cluster the slope of the initial mass function gamma in the mass range 25 mm_odot le 28 is found to be 101pm011 which is shallower than the salpeter value 135 whereas in the mass range 15 mm_odot le 25 the slope is almost flat the slope of the kband luminosity function is estimated as 027pm002 which is smaller than the average value sim04 reported for young embedded clusters approximately 32 of halpha emission stars of be 59 exhibit nir excess indicating that inner disks of the ttauri star tts population have not dissipated the msx and irashires images around the cluster region are also used to study the emission from unidentified infrared bands and to estimate the spatial distribution of optical depth of warm and cold interstellar dust | [['we', 'present', 'ubvi_c', 'ccd', 'photometry', 'of', 'the', 'young', 'open', 'cluster', 'be', '59', 'with', 'the', 'aim', 'to', 'study', 'the', 'star', 'formation', 'scenario', 'in', 'the', 'cluster', 'the', 'radial', 'extent', 'of', 'the', 'cluster', 'is', 'found', 'to', 'be', 'sim', '10', 'arcmin', '29', 'pc', 'the', 'interstellar', 'extinction', 'in', 'the', 'cluster', 'region', 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710.543 | The Hanle Effect in 1D, 2D and 3D | This paper addresses the problem of scattering line polarization and the
Hanle effect in one-dimensional (1D), two-dimensional (2D) and
three-dimensional (3D) media for the case of a two-level model atom without
lower-level polarization and assuming complete frequency redistribution. The
theoretical framework chosen for its formulation is the QED theory of Landi
Degl'Innocenti (1983), which specifies the excitation state of the atoms in
terms of the irreducible tensor components of the atomic density matrix. The
self-consistent values of these density-matrix elements is to be determined by
solving jointly the kinetic and radiative transfer equations for the Stokes
parameters. We show how to achieve this by generalizing to Non-LTE polarization
transfer the Jacobi-based ALI method of Olson et al. (1986) and the iterative
schemes based on Gauss-Seidel iteration of Trujillo Bueno and Fabiani Bendicho
(1995). These methods essentially maintain the simplicity of the
Lambda-iteration method, but their convergence rate is extremely high. Finally,
some 1D and 2D model calculations are presented that illustrate the effect of
horizontal atmospheric inhomogeneities on magnetic and non-magnetic resonance
line polarization signals.
| astro-ph | this paper addresses the problem of scattering line polarization and the hanle effect in onedimensional 1d twodimensional 2d and threedimensional 3d media for the case of a twolevel model atom without lowerlevel polarization and assuming complete frequency redistribution the theoretical framework chosen for its formulation is the qed theory of landi deglinnocenti 1983 which specifies the excitation state of the atoms in terms of the irreducible tensor components of the atomic density matrix the selfconsistent values of these densitymatrix elements is to be determined by solving jointly the kinetic and radiative transfer equations for the stokes parameters we show how to achieve this by generalizing to nonlte polarization transfer the jacobibased ali method of olson et al 1986 and the iterative schemes based on gaussseidel iteration of trujillo bueno and fabiani bendicho 1995 these methods essentially maintain the simplicity of the lambdaiteration method but their convergence rate is extremely high finally some 1d and 2d model calculations are presented that illustrate the effect of horizontal atmospheric inhomogeneities on magnetic and nonmagnetic resonance line polarization signals | [['this', 'paper', 'addresses', 'the', 'problem', 'of', 'scattering', 'line', 'polarization', 'and', 'the', 'hanle', 'effect', 'in', 'onedimensional', '1d', 'twodimensional', '2d', 'and', 'threedimensional', '3d', 'media', 'for', 'the', 'case', 'of', 'a', 'twolevel', 'model', 'atom', 'without', 'lowerlevel', 'polarization', 'and', 'assuming', 'complete', 'frequency', 'redistribution', 'the', 'theoretical', 'framework', 'chosen', 'for', 'its', 'formulation', 'is', 'the', 'qed', 'theory', 'of', 'landi', 'deglinnocenti', '1983', 'which', 'specifies', 'the', 'excitation', 'state', 'of', 'the', 'atoms', 'in', 'terms', 'of', 'the', 'irreducible', 'tensor', 'components', 'of', 'the', 'atomic', 'density', 'matrix', 'the', 'selfconsistent', 'values', 'of', 'these', 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710.5431 | Sterile neutrinos and structure formation | Warm dark matter is consistent with the observations of the large-scale
structure, and it can also explain the cored density profiles on smaller
scales. However, it has been argued that warm dark matter could delay the star
formation. This does not happen if warm dark matter is made up of keV sterile
neutrinos, which can decay into X-ray photons and active neutrinos. The X-ray
photons have a catalytic effect on the formation of molecular hydrogen, the
essential cooling ingredient in the primordial gas. In all the cases we have
examined, the overall effect of sterile dark matter is to facilitate the
cooling of the gas and to reduce the minimal mass of the halo prone to
collapse. We find that the X-rays from the decay of keV sterile neutrinos
facilitate the collapse of the gas clouds and the subsequent star formation at
high redshift.
| astro-ph hep-ph | warm dark matter is consistent with the observations of the largescale structure and it can also explain the cored density profiles on smaller scales however it has been argued that warm dark matter could delay the star formation this does not happen if warm dark matter is made up of kev sterile neutrinos which can decay into xray photons and active neutrinos the xray photons have a catalytic effect on the formation of molecular hydrogen the essential cooling ingredient in the primordial gas in all the cases we have examined the overall effect of sterile dark matter is to facilitate the cooling of the gas and to reduce the minimal mass of the halo prone to collapse we find that the xrays from the decay of kev sterile neutrinos facilitate the collapse of the gas clouds and the subsequent star formation at high redshift | [['warm', 'dark', 'matter', 'is', 'consistent', 'with', 'the', 'observations', 'of', 'the', 'largescale', 'structure', 'and', 'it', 'can', 'also', 'explain', 'the', 'cored', 'density', 'profiles', 'on', 'smaller', 'scales', 'however', 'it', 'has', 'been', 'argued', 'that', 'warm', 'dark', 'matter', 'could', 'delay', 'the', 'star', 'formation', 'this', 'does', 'not', 'happen', 'if', 'warm', 'dark', 'matter', 'is', 'made', 'up', 'of', 'kev', 'sterile', 'neutrinos', 'which', 'can', 'decay', 'into', 'xray', 'photons', 'and', 'active', 'neutrinos', 'the', 'xray', 'photons', 'have', 'a', 'catalytic', 'effect', 'on', 'the', 'formation', 'of', 'molecular', 'hydrogen', 'the', 'essential', 'cooling', 'ingredient', 'in', 'the', 'primordial', 'gas', 'in', 'all', 'the', 'cases', 'we', 'have', 'examined', 'the', 'overall', 'effect', 'of', 'sterile', 'dark', 'matter', 'is', 'to', 'facilitate', 'the', 'cooling', 'of', 'the', 'gas', 'and', 'to', 'reduce', 'the', 'minimal', 'mass', 'of', 'the', 'halo', 'prone', 'to', 'collapse', 'we', 'find', 'that', 'the', 'xrays', 'from', 'the', 'decay', 'of', 'kev', 'sterile', 'neutrinos', 'facilitate', 'the', 'collapse', 'of', 'the', 'gas', 'clouds', 'and', 'the', 'subsequent', 'star', 'formation', 'at', 'high', 'redshift']] | [-0.07051263425374701, 0.22779829931419548, -0.08510377261296122, 0.15634834034426603, -0.07190477623145045, -0.055211272983190916, 0.012269640625971887, 0.356674701741819, -0.1802170882486583, -0.3589433105921166, 0.01196767183945566, -0.27964423398427446, 0.019755869534694485, 0.1415469080998769, 0.0434013240543815, -0.004511214849319206, 0.008423261395364534, -0.03151478284982861, -0.023873938088197773, -0.2943574668461224, 0.30361391246292946, 0.13100451937579136, 0.17573754073560444, 0.09240334358401014, 0.060373844313693956, -0.12194792593881074, -0.055954754331550144, -0.09748200524004208, -0.1417112614109202, 0.0007135217763587005, 0.17678430803223616, 0.12598386366880732, 0.1988155682936647, -0.45601960135779035, -0.2866209538834583, 0.1862067833782122, 0.21804220751315975, 0.06648509066872066, -0.10258145184909356, -0.2752164356384633, 0.03992307931831521, -0.2144871901643152, -0.12530723234522156, 0.014143328867956169, -0.014613874476506479, -0.01359435365318657, -0.22099792319164002, 0.142228709486719, -0.013615554670751508, -0.08694890845153067, -0.09110026611920653, -0.0689170468184683, -0.04519484376133834, 0.0023312799166888, 0.09227332588408091, -0.02363706588706312, 0.25386195761449115, -0.16558234742680927, -0.01151506077601678, 0.46071984828449786, -0.09587106998757615, -0.026743501980995968, 0.21062200733770928, -0.18803979616576624, -0.17931829205675362, 0.21274015718113837, 0.12137103403478654, 0.04724542749722281, -0.10604676667046281, 0.0358712320109286, -0.06608185014354401, 0.23989092479718643, 0.0626408132051842, 0.05270800342097775, 0.39686737137122285, 0.18334279138070997, 0.06522454909847714, 0.03616909104554603, -0.15623551773347166, -0.028654242198778473, -0.2631070524091936, -0.15602193157085115, -0.12405756857818535, 0.056577382177642396, -0.06843290515462286, -0.11650205411004005, 0.33202476675958476, 0.10520488578670968, 0.18087604028874515, -0.029283535575410094, 0.34224146634611924, 0.0702285903906967, 0.07190356296875204, 0.09523733278102656, 0.354153617996619, 0.18412111069644904, 0.0974916403582837, -0.30807397498574574, 0.06338332236434023, -0.047684935159243956] |
710.5432 | Electromagnetic low-energy constants in ChPT | We investigate three-flavour chiral perturbation theory including virtual
photons in a limit where the strange quark mass is much larger than the
external momenta and the up and down quark masses, and where the external
fields are those of two-flavour chiral perturbation theory. In particular we
work out the strange quark mass dependence of the electromagnetic two-flavour
low-energy constants C and k_i. We expect that these relations will be useful
for a more precise determination of the electromagnetic low-energy constants.
| hep-ph | we investigate threeflavour chiral perturbation theory including virtual photons in a limit where the strange quark mass is much larger than the external momenta and the up and down quark masses and where the external fields are those of twoflavour chiral perturbation theory in particular we work out the strange quark mass dependence of the electromagnetic twoflavour lowenergy constants c and k_i we expect that these relations will be useful for a more precise determination of the electromagnetic lowenergy constants | [['we', 'investigate', 'threeflavour', 'chiral', 'perturbation', 'theory', 'including', 'virtual', 'photons', 'in', 'a', 'limit', 'where', 'the', 'strange', 'quark', 'mass', 'is', 'much', 'larger', 'than', 'the', 'external', 'momenta', 'and', 'the', 'up', 'and', 'down', 'quark', 'masses', 'and', 'where', 'the', 'external', 'fields', 'are', 'those', 'of', 'twoflavour', 'chiral', 'perturbation', 'theory', 'in', 'particular', 'we', 'work', 'out', 'the', 'strange', 'quark', 'mass', 'dependence', 'of', 'the', 'electromagnetic', 'twoflavour', 'lowenergy', 'constants', 'c', 'and', 'k_i', 'we', 'expect', 'that', 'these', 'relations', 'will', 'be', 'useful', 'for', 'a', 'more', 'precise', 'determination', 'of', 'the', 'electromagnetic', 'lowenergy', 'constants']] | [-0.12027069825417129, 0.31221133742365054, -0.08200000423239544, 0.12829416236636462, -0.07924916505580767, -0.05778180897468701, 0.0837942550511798, 0.322646213020198, -0.16268479643622413, -0.2674727795179933, 0.012685245418106205, -0.30762920845299957, -0.04928316281584557, 0.14414811140159145, 0.07727430060040205, 0.06487133535410976, -0.009192592423642055, 0.0799522862129379, -0.11847088272043038, -0.1683688787466963, 0.3451958124875091, -0.02164907071273774, 0.2042411437490955, 0.13810702485498041, -0.0005410033045336604, 0.015596463828114793, -0.03569778864621185, -0.043938131723552945, -0.15130865790752068, 0.06637226307066157, 0.1690049834203819, -0.02148947674431838, 0.1419464671780588, -0.40170445817057043, -0.1514948828233173, 0.08348094236571342, 0.14415976068703457, 0.16759520168416203, -0.019140973015782946, -0.2499823105870746, 0.09208093137131072, -0.20159997822484002, -0.21115792859200155, -0.1640812983503565, 0.016283720289357005, -0.030195679422467946, -0.3204878487624228, 0.08016194017254748, -0.019619425402925116, 0.03350163455470465, -0.022720148065127434, -0.18226133573334663, -0.032273565005743875, 0.10011129344347865, 0.12729816073260736, 0.0938505120750051, 0.18241806858568452, -0.2102886738604866, -0.05818104927893728, 0.4517298002028838, -0.08775885365848808, -0.16400111252442, 0.12728027842531447, -0.2051516094361432, -0.16271100238081998, 0.07107879652176052, 0.19465679391287266, 0.13465665318071843, -0.1837177486740984, 0.12435972117527853, -0.042469669145066294, 0.18304894729808438, 0.1210673242865596, 0.09446294354856946, 0.26148974548559634, 0.14758609740820247, -0.02193756066262722, 0.030355957306164784, -0.02448909802478738, -0.08475184215349145, -0.366969355661422, -0.09226298280991614, -0.09418634462635964, 0.1036092614987865, -0.15055224111019924, -0.11612086016684771, 0.37487035383237527, 0.1652636600425467, 0.18045467860938516, 0.004370209798798897, 0.2932035635691136, 0.12524092118255795, 0.07949274944403442, 0.0746777962136548, 0.3309996803291142, 0.2273242041002959, 0.10520409998716787, -0.2542137804121012, -0.10048762719961815, 0.0672712424187921] |
710.5433 | Lepton-pair production in nuclear collisions - past, present, future | The key results on lepton-pair production in ultra-relativistic nuclear
collisions are shortly reviewed, starting at the roots of pp collisions in the
seventies, and ending at the perspectives of the colliders RHIC and LHC. The
presence is dominated by the recent precision results from NA60 at the CERN
SPS, culminating in the first measurement of the in-medium rho spectral
function and the transverse flow of the associated thermal radiation. The
seeming cut-off of the flow above the rho may well be the first direct hint for
thermal radiation of partonic origin in nuclear collisions. The major
milestones in the theoretical developments are also covered.
| nucl-ex | the key results on leptonpair production in ultrarelativistic nuclear collisions are shortly reviewed starting at the roots of pp collisions in the seventies and ending at the perspectives of the colliders rhic and lhc the presence is dominated by the recent precision results from na60 at the cern sps culminating in the first measurement of the inmedium rho spectral function and the transverse flow of the associated thermal radiation the seeming cutoff of the flow above the rho may well be the first direct hint for thermal radiation of partonic origin in nuclear collisions the major milestones in the theoretical developments are also covered | [['the', 'key', 'results', 'on', 'leptonpair', 'production', 'in', 'ultrarelativistic', 'nuclear', 'collisions', 'are', 'shortly', 'reviewed', 'starting', 'at', 'the', 'roots', 'of', 'pp', 'collisions', 'in', 'the', 'seventies', 'and', 'ending', 'at', 'the', 'perspectives', 'of', 'the', 'colliders', 'rhic', 'and', 'lhc', 'the', 'presence', 'is', 'dominated', 'by', 'the', 'recent', 'precision', 'results', 'from', 'na60', 'at', 'the', 'cern', 'sps', 'culminating', 'in', 'the', 'first', 'measurement', 'of', 'the', 'inmedium', 'rho', 'spectral', 'function', 'and', 'the', 'transverse', 'flow', 'of', 'the', 'associated', 'thermal', 'radiation', 'the', 'seeming', 'cutoff', 'of', 'the', 'flow', 'above', 'the', 'rho', 'may', 'well', 'be', 'the', 'first', 'direct', 'hint', 'for', 'thermal', 'radiation', 'of', 'partonic', 'origin', 'in', 'nuclear', 'collisions', 'the', 'major', 'milestones', 'in', 'the', 'theoretical', 'developments', 'are', 'also', 'covered']] | [-0.06318866313533643, 0.22225936906985366, -0.16636824960229346, 0.07315741406525306, 0.012661101708475214, -0.04332321210621068, -0.05987144182794369, 0.3058275092290177, -0.2457359412129825, -0.2511375140792762, 0.04343839797365945, -0.3565710215077091, 0.04157430318166287, 0.17428692482553743, 0.03792784806305113, 0.09119710322388877, 0.10021766850080055, 0.013784929612973848, -0.046069377585529134, -0.20322241636816984, 0.3321353959774849, 0.17521581706331255, 0.20577014777182528, 0.22435284341470554, 0.04722020159869526, 0.036223246286121696, -0.07601303062480068, -0.034552114899270236, -0.12717979452841413, 0.06278043048755186, 0.27371644253770894, 0.07040906549082138, 0.18829500529234514, -0.4100685943132983, -0.14793263342177781, 0.09314464604876076, 0.10686872380588633, 0.0856252798537473, -0.09665738617164046, -0.2562402653498933, 0.07292298702164911, -0.1948450539046182, -0.15006376064355628, 0.027579771613370843, -0.003575722745154053, 0.010591721356971763, -0.2223102598128697, 0.11890147774801545, -0.012007950087606262, 0.08121767342583133, -0.0440318155183027, -0.21603069989494264, -0.032221332187943444, 0.0493307870794804, 0.08767762982349198, 0.08806659150510453, 0.1697419910320045, -0.21554749343844237, -0.16681948920282033, 0.39261282779849493, -0.017488855295456372, -0.030107645971628908, 0.20009868807839945, -0.2451145534734958, -0.16138114740337747, 0.16270081267262307, 0.21916232948513845, 0.06764971654718885, -0.16497390089520755, 0.0729876262871235, 0.02521442818061377, 0.07262896362450331, 0.09834821650068849, 0.049407226598794714, 0.23691981507895085, 0.21135883167600975, -0.04101431246985717, 0.07302062431363783, -0.08360277099116221, -0.09670282585116532, -0.4633010511035816, -0.07900522695854306, -0.14544267398350014, 0.03063524782191962, -0.05875001451749995, -0.010586006647477357, 0.3707525625359267, 0.0961694703941108, 0.25444511556997895, -0.04401042593123678, 0.3120428448847423, 0.10827296926604155, 0.011286572002483388, 0.08257132683575737, 0.3428279237750058, 0.16996595912272683, 0.21779879707789335, -0.2730125381562035, 0.05690046183232111, 0.03809823198781277] |
710.5434 | Limit theorems for bifurcating Markov chains. Application to the
detection of cellular aging | We propose a general method to study dependent data in a binary tree, where
an individual in one generation gives rise to two different offspring, one of
type 0 and one of type 1, in the next generation. For any specific
characteristic of these individuals, we assume that the characteristic is
stochastic and depends on its ancestors' only through the mother's
characteristic. The dependency structure may be described by a transition
probability $P(x,dy dz)$ which gives the probability that the pair of
daughters' characteristics is around $(y,z)$, given that the mother's
characteristic is $x$. Note that $y$, the characteristic of the daughter of
type 0, and $z$, that of the daughter of type 1, may be conditionally dependent
given $x$, and their respective conditional distributions may differ. We then
speak of bifurcating Markov chains. We derive laws of large numbers and central
limit theorems for such stochastic processes. We then apply these results to
detect cellular aging in Escherichia Coli, using the data of Stewart et al. and
a bifurcating autoregressive model.
| math.PR | we propose a general method to study dependent data in a binary tree where an individual in one generation gives rise to two different offspring one of type 0 and one of type 1 in the next generation for any specific characteristic of these individuals we assume that the characteristic is stochastic and depends on its ancestors only through the mothers characteristic the dependency structure may be described by a transition probability pxdy dz which gives the probability that the pair of daughters characteristics is around yz given that the mothers characteristic is x note that y the characteristic of the daughter of type 0 and z that of the daughter of type 1 may be conditionally dependent given x and their respective conditional distributions may differ we then speak of bifurcating markov chains we derive laws of large numbers and central limit theorems for such stochastic processes we then apply these results to detect cellular aging in escherichia coli using the data of stewart et al and a bifurcating autoregressive model | [['we', 'propose', 'a', 'general', 'method', 'to', 'study', 'dependent', 'data', 'in', 'a', 'binary', 'tree', 'where', 'an', 'individual', 'in', 'one', 'generation', 'gives', 'rise', 'to', 'two', 'different', 'offspring', 'one', 'of', 'type', '0', 'and', 'one', 'of', 'type', '1', 'in', 'the', 'next', 'generation', 'for', 'any', 'specific', 'characteristic', 'of', 'these', 'individuals', 'we', 'assume', 'that', 'the', 'characteristic', 'is', 'stochastic', 'and', 'depends', 'on', 'its', 'ancestors', 'only', 'through', 'the', 'mothers', 'characteristic', 'the', 'dependency', 'structure', 'may', 'be', 'described', 'by', 'a', 'transition', 'probability', 'pxdy', 'dz', 'which', 'gives', 'the', 'probability', 'that', 'the', 'pair', 'of', 'daughters', 'characteristics', 'is', 'around', 'yz', 'given', 'that', 'the', 'mothers', 'characteristic', 'is', 'x', 'note', 'that', 'y', 'the', 'characteristic', 'of', 'the', 'daughter', 'of', 'type', '0', 'and', 'z', 'that', 'of', 'the', 'daughter', 'of', 'type', '1', 'may', 'be', 'conditionally', 'dependent', 'given', 'x', 'and', 'their', 'respective', 'conditional', 'distributions', 'may', 'differ', 'we', 'then', 'speak', 'of', 'bifurcating', 'markov', 'chains', 'we', 'derive', 'laws', 'of', 'large', 'numbers', 'and', 'central', 'limit', 'theorems', 'for', 'such', 'stochastic', 'processes', 'we', 'then', 'apply', 'these', 'results', 'to', 'detect', 'cellular', 'aging', 'in', 'escherichia', 'coli', 'using', 'the', 'data', 'of', 'stewart', 'et', 'al', 'and', 'a', 'bifurcating', 'autoregressive', 'model']] | [-0.09875949093073264, 0.1616034518924102, -0.07532067778275202, 0.07715147500517315, -0.06631941381945378, -0.1508853814826069, 0.06318964392534997, 0.33953836312441277, -0.29508780446638794, -0.22736092066740868, 0.06455415774038747, -0.2755454817067897, -0.14170404101520429, 0.17331801084610934, -0.05303074152628232, -0.03656825014255255, 0.01661681023573405, 0.07774618969228096, -0.021163532857263013, -0.2337347968843662, 0.3374354751693488, -0.0007800731252421413, 0.25019728860883206, -0.026885699867461508, 0.12879135043153334, 0.00931637683251535, -0.029411470162143048, -0.01415451977685181, -0.15655145767164091, 0.09826691446305737, 0.211791452691667, 0.15797620271849963, 0.26256728107899385, -0.4008227900345946, -0.16282047413572756, 0.162519167282221, 0.15332041678396027, 0.09499071741664554, -0.009309293825467994, -0.24293443031829634, 0.12907657638186731, -0.1547433289083821, -0.13303792492720729, -0.012375812740637022, 0.06382803174487331, 0.11020860053484507, -0.2901376413214783, 0.08131658933424984, 0.10416622738059807, 0.030502706477473007, -0.06622164002115898, -0.13333234450118125, -0.05977961344049416, 0.13798057897307786, 0.057200371342907216, 0.004470945440766494, 0.1225796740179424, -0.08723736201461993, -0.12965601420285974, 0.31164628194307376, -0.07178349870022888, -0.19009362638530414, 0.1985469054163853, -0.17921552317195208, -0.1794563757544329, 0.12001025205075044, 0.18540308370434663, 0.12842497396233835, -0.1336079404736346, 0.06811347921935967, -0.025823350332688257, 0.1303466233814255, 0.06811679546225663, 0.0019214722911326204, 0.18211250098923232, 0.14748273531726577, 0.02306617430836093, 0.08695362275466323, -0.12594800936167092, -0.08029888689753528, -0.3048758697450945, -0.18302480946294963, -0.16016516528413657, 0.09640617023238487, -0.09644300347055874, -0.17071829891453186, 0.4015206298246239, 0.1241213922023437, 0.22960486437319316, 0.08710918847365272, 0.18164256998550213, 0.13140742712768547, 0.003990087009372724, 0.04025840585267073, 0.15144531372989042, 0.1123537853951103, 0.06821825105543057, -0.17512309678819313, 0.11860837582880032, 0.06071358204993545] |
710.5435 | Superluminal non-ballistic jet swing in the quasar NRAO 150 revealed by
mm-VLBI | NRAO 150 -a compact and bright radio to mm source showing core/jet structure-
has been recently identified as a quasar at redshift z=1.52 through a near-IR
spectral observation. To study the jet kinematics on the smallest accessible
scales and to compute the first estimates of its basic physical properties, we
have analysed the ultra-high-resolution images from a new monitoring program at
86 GHz and 43 GHz with the GMVA and the VLBA, respectively. An additional
archival and calibration VLBA data set, covering from 1997 to 2007, has been
used. Our data shows an extreme projected counter-clock-wise jet position angle
swing at an angular rate of up to ~11 deg./yr within the inner ~31 pc of the
jet, which is associated with a non-ballistic superluminal motion of the jet
within this region. The results suggest that the magnetic field could play an
important role in the dynamics of the jet in NRAO 150, which is supported by
the large values of the magnetic field strength obtained from our first
estimates. The extreme characteristics of the jet swing make NRAO 150 a prime
source to study the jet wobbling phenomenon.
| astro-ph | nrao 150 a compact and bright radio to mm source showing corejet structure has been recently identified as a quasar at redshift z152 through a nearir spectral observation to study the jet kinematics on the smallest accessible scales and to compute the first estimates of its basic physical properties we have analysed the ultrahighresolution images from a new monitoring program at 86 ghz and 43 ghz with the gmva and the vlba respectively an additional archival and calibration vlba data set covering from 1997 to 2007 has been used our data shows an extreme projected counterclockwise jet position angle swing at an angular rate of up to 11 degyr within the inner 31 pc of the jet which is associated with a nonballistic superluminal motion of the jet within this region the results suggest that the magnetic field could play an important role in the dynamics of the jet in nrao 150 which is supported by the large values of the magnetic field strength obtained from our first estimates the extreme characteristics of the jet swing make nrao 150 a prime source to study the jet wobbling phenomenon | [['nrao', '150', 'a', 'compact', 'and', 'bright', 'radio', 'to', 'mm', 'source', 'showing', 'corejet', 'structure', 'has', 'been', 'recently', 'identified', 'as', 'a', 'quasar', 'at', 'redshift', 'z152', 'through', 'a', 'nearir', 'spectral', 'observation', 'to', 'study', 'the', 'jet', 'kinematics', 'on', 'the', 'smallest', 'accessible', 'scales', 'and', 'to', 'compute', 'the', 'first', 'estimates', 'of', 'its', 'basic', 'physical', 'properties', 'we', 'have', 'analysed', 'the', 'ultrahighresolution', 'images', 'from', 'a', 'new', 'monitoring', 'program', 'at', '86', 'ghz', 'and', '43', 'ghz', 'with', 'the', 'gmva', 'and', 'the', 'vlba', 'respectively', 'an', 'additional', 'archival', 'and', 'calibration', 'vlba', 'data', 'set', 'covering', 'from', '1997', 'to', '2007', 'has', 'been', 'used', 'our', 'data', 'shows', 'an', 'extreme', 'projected', 'counterclockwise', 'jet', 'position', 'angle', 'swing', 'at', 'an', 'angular', 'rate', 'of', 'up', 'to', '11', 'degyr', 'within', 'the', 'inner', '31', 'pc', 'of', 'the', 'jet', 'which', 'is', 'associated', 'with', 'a', 'nonballistic', 'superluminal', 'motion', 'of', 'the', 'jet', 'within', 'this', 'region', 'the', 'results', 'suggest', 'that', 'the', 'magnetic', 'field', 'could', 'play', 'an', 'important', 'role', 'in', 'the', 'dynamics', 'of', 'the', 'jet', 'in', 'nrao', '150', 'which', 'is', 'supported', 'by', 'the', 'large', 'values', 'of', 'the', 'magnetic', 'field', 'strength', 'obtained', 'from', 'our', 'first', 'estimates', 'the', 'extreme', 'characteristics', 'of', 'the', 'jet', 'swing', 'make', 'nrao', '150', 'a', 'prime', 'source', 'to', 'study', 'the', 'jet', 'wobbling', 'phenomenon']] | [-0.09983119523113078, 0.06416912862697884, -0.09528492514212478, 0.04660843680748974, -0.11806252544517926, -0.06344753701953178, 0.013028492384964533, 0.4366529554009755, -0.20824309264091737, -0.35262945583189265, 0.13067072841829244, -0.24438756727365815, -0.004530043697896156, 0.22563340662213222, 0.0039671640754912665, 0.004060720896457961, 0.050859787500775515, -0.05390807618684274, -0.026387201953958595, -0.13516451372452912, 0.25293113048587174, 0.1459856615124699, 0.22743917239874484, 0.020467405948054757, 0.14500542912765982, -0.06211631258725476, -0.08194371549650392, 0.004095950859915862, -0.09586709037942823, 0.05756025727679755, 0.2370084199132992, 0.08226330302212329, 0.2378870576305533, -0.3310641890758292, -0.1659820013743964, -0.0006375668169137963, 0.1164833263495932, 0.04671729756305564, -0.002615938757600738, -0.3182974630728998, 0.0994105658805409, -0.1789322619096059, -0.1915578704198545, 0.03680942119891815, 0.06976204583151364, 0.01581973594395404, -0.21614242266235684, 0.08431333870418925, -0.008737192196930026, 0.11351349966184414, -0.07479233793143995, -0.10643388233098024, -0.04180941817553793, 0.12224593255086802, 0.04911698858957104, 0.14376256433612805, 0.14626227343762097, -0.12348016365951403, -0.1394058921389242, 0.3476662070804989, -0.052827220068293365, -0.036309642649359104, 0.19132734735265988, -0.2274935201975824, -0.1802946062476196, 0.2024105400976507, 0.19383266195159485, 0.09554846773724111, -0.12820278639202948, -0.0061700663822232445, -0.07451167066972901, 0.22774321761631228, 0.07062248480531011, 0.05875524508635553, 0.2607377732489654, 0.11785820467853324, 0.024096506089219785, 0.1427050005642083, -0.2782753615734846, -0.019082721394605616, -0.298701992337691, -0.07908484096387451, -0.14339657747706874, 0.10400912593917035, -0.12166071499342117, -0.07593168012371802, 0.4179516756619783, 0.08050064700209793, 0.2315815140238091, 0.012556357617598978, 0.2797678509885643, 0.05167941212973946, 0.09194955925774226, 0.15072757777252652, 0.3352443557430772, 0.16204215148141846, 0.14890867853140893, -0.20845718146921036, 0.017972845992846216, -0.020581472902855974] |
710.5436 | Dynamic Phase Transitions in Superconductivity | In this Letter, the dynamic phase transitions of the time-dependent
Ginzburg-Landau equations are analyzed using a newly developed dynamic
transition theory and a new classification scheme of dynamics phase
transitions. First, we demonstrate that there are two type of dynamic
transitions, jump and continuous, dictated by the sign of a nondimensional
parameter R. This parameter is computable, and depends on the material
property, the applied field, and the geometry of domain that the sample
occupies. Second, using the parameter R, precise analytical formulas for
critical domain size, and for critical magnetic fields are derived.
| cond-mat.supr-con | in this letter the dynamic phase transitions of the timedependent ginzburglandau equations are analyzed using a newly developed dynamic transition theory and a new classification scheme of dynamics phase transitions first we demonstrate that there are two type of dynamic transitions jump and continuous dictated by the sign of a nondimensional parameter r this parameter is computable and depends on the material property the applied field and the geometry of domain that the sample occupies second using the parameter r precise analytical formulas for critical domain size and for critical magnetic fields are derived | [['in', 'this', 'letter', 'the', 'dynamic', 'phase', 'transitions', 'of', 'the', 'timedependent', 'ginzburglandau', 'equations', 'are', 'analyzed', 'using', 'a', 'newly', 'developed', 'dynamic', 'transition', 'theory', 'and', 'a', 'new', 'classification', 'scheme', 'of', 'dynamics', 'phase', 'transitions', 'first', 'we', 'demonstrate', 'that', 'there', 'are', 'two', 'type', 'of', 'dynamic', 'transitions', 'jump', 'and', 'continuous', 'dictated', 'by', 'the', 'sign', 'of', 'a', 'nondimensional', 'parameter', 'r', 'this', 'parameter', 'is', 'computable', 'and', 'depends', 'on', 'the', 'material', 'property', 'the', 'applied', 'field', 'and', 'the', 'geometry', 'of', 'domain', 'that', 'the', 'sample', 'occupies', 'second', 'using', 'the', 'parameter', 'r', 'precise', 'analytical', 'formulas', 'for', 'critical', 'domain', 'size', 'and', 'for', 'critical', 'magnetic', 'fields', 'are', 'derived']] | [-0.1741969829296416, 0.1511207517147302, -0.05991501374507045, 0.02538310300851082, -0.0813778030507742, -0.11653129000989522, 0.0942859214946053, 0.3368758146769981, -0.2587512190741031, -0.2728952908135475, 0.11461238012069519, -0.213238811496883, -0.15512753210644772, 0.19038649022262147, 0.013779210774605708, 0.05335961828166817, -0.043390913566752794, 0.025389262058950486, -0.09046559075904177, -0.1495344134126889, 0.36128663035119546, -0.038234002452264444, 0.28685631910140846, 0.02861493788263265, 0.09362347703427076, -0.024422512151935, 0.0015135085249834872, 0.08396430761414639, -0.21705360211846245, 0.061283510752973405, 0.21715531615321176, 0.07028611310004712, 0.22491434490942258, -0.39126176265168355, -0.22442897737145107, 0.060795300825934935, 0.12766769857819568, 0.09598896496909413, -0.04956333994979356, -0.28276257251854986, 0.06184135530109299, -0.11687796052664201, -0.10941139803307647, -0.09868105178936681, 0.06807764185756009, 0.052606618116074734, -0.3067133310151861, 0.10018947374997066, 0.04123524287740323, 0.09575801500877207, -0.08535119839646715, -0.07308484365212474, -0.0052544479852819695, 0.12820836172954359, 0.014234296625797102, 0.04203327669405398, 0.12484770319226415, -0.11676740586420799, -0.08321662310218597, 0.35176896547621234, -0.04902096535079181, -0.1784196643138978, 0.14479140590806988, -0.15858409986236788, -0.1255383287318685, 0.1583172019789035, 0.14811112722778258, 0.16292292331444455, -0.12886345335975924, 0.12522993163153667, 0.017824825102542626, 0.19345677949171117, 0.020951994387631085, -0.013998855227366724, 0.14209705009620557, 0.17287344656800455, 0.016713884698742246, 0.16380409721503073, -0.09885524068414135, -0.15048354794766675, -0.3278659939904638, -0.1474649272561866, -0.2212201086606117, -0.02586442601936374, -0.12569030375201923, -0.17886414491829086, 0.41703682296618816, 0.1469744615395494, 0.1729755546758942, 0.0059390399961712515, 0.24506751214590003, 0.1747949338577529, 0.010906273717100316, 0.04793673123114128, 0.2466074723274784, 0.1352900113895575, 0.12192363814609324, -0.23372586137656012, 0.06048624982383657, 0.10007581420668817] |
710.5437 | Three-Dimensional Simulations of a Starburst-Driven Galactic Wind | We have performed a series of three-dimensional simulations of a
starburst-driven wind in an inhomogeneous interstellar medium. The introduction
of an inhomogeneous disk leads to differences in the formation of a wind, most
noticeably the absence of the ``blow-out'' effect seen in homogeneous models. A
wind forms from a series of small bubbles that propagate into the tenuous gas
between dense clouds in the disk. These bubbles merge and follow the path of
least resistance out of the disk, before flowing freely into the halo.
Filaments are formed from disk gas that is broken up and accelerated into the
outflow. These filaments are distributed throughout a biconical structure
within a more spherically distributed hot wind. The distribution of the
inhomogeneous interstellar medium in the disk is important in determining the
morphology of this wind, as well as the distribution of the filaments. While
higher resolution simulations are required in order to ascertain the importance
of mixing processes, we find that soft X-ray emission arises from gas that has
been mass-loaded from clouds in the disk, as well as from bow shocks upstream
of clouds, driven into the flow by the ram pressure of the wind, and the
interaction between these shocks.
| astro-ph | we have performed a series of threedimensional simulations of a starburstdriven wind in an inhomogeneous interstellar medium the introduction of an inhomogeneous disk leads to differences in the formation of a wind most noticeably the absence of the blowout effect seen in homogeneous models a wind forms from a series of small bubbles that propagate into the tenuous gas between dense clouds in the disk these bubbles merge and follow the path of least resistance out of the disk before flowing freely into the halo filaments are formed from disk gas that is broken up and accelerated into the outflow these filaments are distributed throughout a biconical structure within a more spherically distributed hot wind the distribution of the inhomogeneous interstellar medium in the disk is important in determining the morphology of this wind as well as the distribution of the filaments while higher resolution simulations are required in order to ascertain the importance of mixing processes we find that soft xray emission arises from gas that has been massloaded from clouds in the disk as well as from bow shocks upstream of clouds driven into the flow by the ram pressure of the wind and the interaction between these shocks | [['we', 'have', 'performed', 'a', 'series', 'of', 'threedimensional', 'simulations', 'of', 'a', 'starburstdriven', 'wind', 'in', 'an', 'inhomogeneous', 'interstellar', 'medium', 'the', 'introduction', 'of', 'an', 'inhomogeneous', 'disk', 'leads', 'to', 'differences', 'in', 'the', 'formation', 'of', 'a', 'wind', 'most', 'noticeably', 'the', 'absence', 'of', 'the', 'blowout', 'effect', 'seen', 'in', 'homogeneous', 'models', 'a', 'wind', 'forms', 'from', 'a', 'series', 'of', 'small', 'bubbles', 'that', 'propagate', 'into', 'the', 'tenuous', 'gas', 'between', 'dense', 'clouds', 'in', 'the', 'disk', 'these', 'bubbles', 'merge', 'and', 'follow', 'the', 'path', 'of', 'least', 'resistance', 'out', 'of', 'the', 'disk', 'before', 'flowing', 'freely', 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'pressure', 'of', 'the', 'wind', 'and', 'the', 'interaction', 'between', 'these', 'shocks']] | [-0.12046106863536395, 0.14845608266673413, -0.07972433944858277, 0.05853989137283327, -0.03702525441900859, 0.0017715404389324176, -0.00859868241443915, 0.43069634453129413, -0.2843663675938756, -0.28773700115062406, 0.06149341623514279, -0.2522967143368847, -0.028179647285139085, 0.1739740839728446, 0.03908618632124839, -0.03451692775199978, 0.007886356770984605, -0.09390053421082856, -0.015048916342167823, -0.18835359994456433, 0.3345788335103301, 0.09497639353141485, 0.16383847520936892, 0.00615289414866795, 0.07880901600887526, -0.12951016176112035, -0.03343302938642342, 0.029560624280091912, -0.10051018224443559, 0.07941331578863424, 0.1581358785557467, 0.08269967440288718, 0.25060101409109115, -0.512691756373327, -0.29369638739292747, 0.014492342396829259, 0.2243224646727003, 0.04797644777089098, -0.0657437033966486, -0.23435646943303187, 0.03606967644450899, -0.22327511672414746, 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710.5438 | Kinematical Reduction of Spatial Degrees of Freedom and Holographic
Relation in Yang's Quantized Space-Time Algebra | We try to find a possible origin of the holographic principle in the
Lorentz-covariant Yang's quantized space-time algebra (YSTA). YSTA, which is
intrinsically equipped with short- and long-scale parameters, $\lambda$ and
$R$, gives a finite number of spatial degrees of freedom for any bounded
spatial region, providing a basis for divergence-free quantum field theory.
Furthermore, it gives a definite kinematical reduction of spatial degrees of
freedom, compared with the ordinary lattice space. On account of the latter
fact, we find a certain kind of kinematical holographic relation in YSTA, which
may be regarded as a primordial form of the holographic principle suggested so
far in the framework of the present quantum theory that appears now in the
contraction limit of YSTA, $\lambda \to 0$ and $R \to \infty.$
| hep-th | we try to find a possible origin of the holographic principle in the lorentzcovariant yangs quantized spacetime algebra ysta ysta which is intrinsically equipped with short and longscale parameters lambda and r gives a finite number of spatial degrees of freedom for any bounded spatial region providing a basis for divergencefree quantum field theory furthermore it gives a definite kinematical reduction of spatial degrees of freedom compared with the ordinary lattice space on account of the latter fact we find a certain kind of kinematical holographic relation in ysta which may be regarded as a primordial form of the holographic principle suggested so far in the framework of the present quantum theory that appears now in the contraction limit of ysta lambda to 0 and r to infty | [['we', 'try', 'to', 'find', 'a', 'possible', 'origin', 'of', 'the', 'holographic', 'principle', 'in', 'the', 'lorentzcovariant', 'yangs', 'quantized', 'spacetime', 'algebra', 'ysta', 'ysta', 'which', 'is', 'intrinsically', 'equipped', 'with', 'short', 'and', 'longscale', 'parameters', 'lambda', 'and', 'r', 'gives', 'a', 'finite', 'number', 'of', 'spatial', 'degrees', 'of', 'freedom', 'for', 'any', 'bounded', 'spatial', 'region', 'providing', 'a', 'basis', 'for', 'divergencefree', 'quantum', 'field', 'theory', 'furthermore', 'it', 'gives', 'a', 'definite', 'kinematical', 'reduction', 'of', 'spatial', 'degrees', 'of', 'freedom', 'compared', 'with', 'the', 'ordinary', 'lattice', 'space', 'on', 'account', 'of', 'the', 'latter', 'fact', 'we', 'find', 'a', 'certain', 'kind', 'of', 'kinematical', 'holographic', 'relation', 'in', 'ysta', 'which', 'may', 'be', 'regarded', 'as', 'a', 'primordial', 'form', 'of', 'the', 'holographic', 'principle', 'suggested', 'so', 'far', 'in', 'the', 'framework', 'of', 'the', 'present', 'quantum', 'theory', 'that', 'appears', 'now', 'in', 'the', 'contraction', 'limit', 'of', 'ysta', 'lambda', 'to', '0', 'and', 'r', 'to', 'infty']] | [-0.17318407432321692, 0.14702995549305342, -0.13969097300287103, 0.05593945742748474, -0.12056127414689399, -0.1363495657205931, -0.0012394843761285301, 0.28794670695788227, -0.2580448833396076, -0.24549589560047025, 0.039077509343769634, -0.20568557157093892, -0.10596252400137018, 0.12276407706667669, -0.04395642875010708, -0.00045504965282816556, -0.017199117706695688, 0.10108986110935803, -0.07642525059645777, -0.20690982282394543, 0.3152576830761973, 0.042623701667253044, 0.23536313565273304, 0.04120208179301699, 0.15113543704501353, 0.012975802796063363, -0.0018085528135998175, 0.06989431376382527, -0.16187473859309875, 0.10806093697556207, 0.249597280198941, 0.10828656269677595, 0.21400923932378646, -0.38309894980920944, -0.23741182363664848, 0.09147098963876488, 0.1596633664375986, 0.11625738095426641, 0.004480603902266012, -0.25611704284983716, 0.0554380765543101, -0.18026018246018793, -0.2014037502449355, -0.07642327007090444, 0.03747754279629589, -0.0549044520703319, -0.26624405025495435, 0.08363869973982219, 0.07654759405340883, 0.06480010777522693, -0.019756119463636423, -0.09035082452101051, -0.026839572237804532, 0.06573809401743347, 0.02428259819680534, 0.06061923337938424, 0.05992189023709216, -0.11149858073986252, -0.08551015469129197, 0.3948850739689078, -0.05650234271888621, -0.22875744038901757, 0.14990855639734946, -0.17044290679768892, -0.12720375006028917, 0.09069255502981832, 0.08799849351635203, 0.1269350328238943, -0.09782593745330814, 0.1717052291737673, -0.054867022148755495, 0.1612680956168333, 0.07098157047039422, 0.13106818531014142, 0.2284696918368354, 0.08864540711783775, 0.0625216854386963, 0.1330239382596119, -0.040186715492382064, -0.12342822882101245, -0.39935419894754887, -0.16819830843814998, -0.1687822088424582, 0.1288281585511868, -0.13443697270452049, -0.16479051891656127, 0.3219807469740772, 0.10483992188255797, 0.19710670175845735, 0.038881032980498276, 0.21005367317411583, 0.11159203725310363, 0.09189842581326957, 0.04911483923569904, 0.23476233028122806, 0.18807488142920192, 0.0879042200067488, -0.19778144032534328, -0.03781572877051076, 0.09634942492664322] |
710.5439 | Nonequilibrium steady states in fluids of platelike colloidal particles | Nonequilibrium steady states in an open system connecting two reservoirs of
platelike colloidal particles are investigated by means of a recently proposed
phenomenological dynamic density functional theory [M. Bier and R. van Roij,
Phys. Rev. E 76, 021405 (2007)]. The platelike colloidal particles are
approximated within the Zwanzig model of restricted orientations, which
exhibits an isotropic-nematic bulk phase transition. Inhomogeneities of the
local chemical potential generate a diffusion current which relaxes to a
nonvanishing value if the two reservoirs coupled to the system sustain
different chemical potentials. The relaxation process of initial states towards
the steady state turns out to comprise two regimes: a smoothening of initial
steplike structures followed by an ultimate relaxation of the slowest diffusive
mode. The position of a nonequilibrium interface and the particle current of
steady states depend nontrivially on the structure of the reservoirs due to the
coupling between translational and orientational degrees of freedom of the
fluid.
| cond-mat.soft cond-mat.stat-mech | nonequilibrium steady states in an open system connecting two reservoirs of platelike colloidal particles are investigated by means of a recently proposed phenomenological dynamic density functional theory m bier and r van roij phys rev e 76 021405 2007 the platelike colloidal particles are approximated within the zwanzig model of restricted orientations which exhibits an isotropicnematic bulk phase transition inhomogeneities of the local chemical potential generate a diffusion current which relaxes to a nonvanishing value if the two reservoirs coupled to the system sustain different chemical potentials the relaxation process of initial states towards the steady state turns out to comprise two regimes a smoothening of initial steplike structures followed by an ultimate relaxation of the slowest diffusive mode the position of a nonequilibrium interface and the particle current of steady states depend nontrivially on the structure of the reservoirs due to the coupling between translational and orientational degrees of freedom of the fluid | [['nonequilibrium', 'steady', 'states', 'in', 'an', 'open', 'system', 'connecting', 'two', 'reservoirs', 'of', 'platelike', 'colloidal', 'particles', 'are', 'investigated', 'by', 'means', 'of', 'a', 'recently', 'proposed', 'phenomenological', 'dynamic', 'density', 'functional', 'theory', 'm', 'bier', 'and', 'r', 'van', 'roij', 'phys', 'rev', 'e', '76', '021405', '2007', 'the', 'platelike', 'colloidal', 'particles', 'are', 'approximated', 'within', 'the', 'zwanzig', 'model', 'of', 'restricted', 'orientations', 'which', 'exhibits', 'an', 'isotropicnematic', 'bulk', 'phase', 'transition', 'inhomogeneities', 'of', 'the', 'local', 'chemical', 'potential', 'generate', 'a', 'diffusion', 'current', 'which', 'relaxes', 'to', 'a', 'nonvanishing', 'value', 'if', 'the', 'two', 'reservoirs', 'coupled', 'to', 'the', 'system', 'sustain', 'different', 'chemical', 'potentials', 'the', 'relaxation', 'process', 'of', 'initial', 'states', 'towards', 'the', 'steady', 'state', 'turns', 'out', 'to', 'comprise', 'two', 'regimes', 'a', 'smoothening', 'of', 'initial', 'steplike', 'structures', 'followed', 'by', 'an', 'ultimate', 'relaxation', 'of', 'the', 'slowest', 'diffusive', 'mode', 'the', 'position', 'of', 'a', 'nonequilibrium', 'interface', 'and', 'the', 'particle', 'current', 'of', 'steady', 'states', 'depend', 'nontrivially', 'on', 'the', 'structure', 'of', 'the', 'reservoirs', 'due', 'to', 'the', 'coupling', 'between', 'translational', 'and', 'orientational', 'degrees', 'of', 'freedom', 'of', 'the', 'fluid']] | [-0.1770708299953089, 0.22173904193100738, -0.10945895611688397, -0.053454263478466886, 0.017616798359851697, -0.14060585653887278, 0.03726625685215511, 0.29559628774203656, -0.27409428731066565, -0.28725023443295966, -0.005357765060340937, -0.2572458412706558, -0.08697669455125977, 0.10235653680789064, 0.04450438963903922, 0.04228397244993463, 0.0161709000010313, -0.032230148211391155, -0.03873223683331162, -0.19691658338323528, 0.2642191189224832, 0.03363296427567931, 0.30201146110438887, 0.046603866273806874, 0.11909916162441828, -0.020040082760571846, 0.06775927309890424, 0.03238661324078413, -0.18188952462332963, 0.03047208850445091, 0.17011320034630203, -0.023827523063549672, 0.24072052749933823, -0.47706169696941386, -0.22388038011635408, 0.061103496168997434, 0.11348102404735982, 0.12377895996752686, -0.00017391575276729112, -0.29913413811377004, -0.017863181035193663, -0.14583062914071457, -0.17885925611603612, -0.06551666094578411, 0.07591668275754752, 0.04951953382107221, -0.2439587281049554, 0.16554700784189136, 0.056628681766596856, 0.023772976857512014, -0.08432114862080198, -0.09117740175631632, -0.0994348622993321, 0.08749848505555603, 0.011667088972133473, 0.019505916826586287, 0.22128083805038937, -0.14090723370157465, -0.08106866139017879, 0.33237229276595537, -0.05651349585662645, -0.1761753022759589, 0.2656471118664884, -0.12936143119709173, -0.08032604281508707, 0.1811658234433516, 0.12883575024132274, 0.11429990913510617, -0.1949181731604193, 0.0780562388938147, 0.004974416598997777, 0.1530627620300756, 0.0840475542783296, -0.006577683678570841, 0.26795074899602794, 0.16903081593887978, 0.049470276630783794, 0.1545411435834371, -0.06774277168350588, -0.1828673428880345, -0.2723909875279979, -0.17093324228680054, -0.2100052913031648, 0.06719376417458989, -0.07161264079149987, -0.19405936097762988, 0.4162183964171594, 0.0879875926575072, 0.2020012736044775, -0.018678269715134154, 0.19322968927352982, 0.08805026893969625, -0.00834684668868584, 0.08475733150752555, 0.2694510250968099, 0.20039571312832108, 0.10183188100467976, -0.30106549838398533, 0.04884943799391438, 0.03879476864485217] |
710.544 | The long-term stability of extrasolar system HD 37124. Numerical study
of resonance effects | We describe numerical tools for the stability analysis of extrasolar
planetary systems. In particular, we consider the relative Poincare variables
and symplectic integration of the equations of motion. We apply the tangent map
to derive a numerically efficient algorithm of the fast indicator MEGNO (a
measure of the maximal Lyapunov exponent) that helps to distinguish chaotic and
regular configurations. The results concerning the three-planet extrasolar
system HD 37124 are presented and discussed. The best fit solutions found in
earlier works are studied more closely. The system involves Jovian planets with
similar masses. The orbits have moderate eccentricities, nevertheless the best
fit solutions are found in dynamically active region of the phase space. The
long term stability of the system is determined by a net of low-order two-body
and three-body mean motion resonances. In particular, the three-body resonances
may induce strong chaos that leads to self-destruction of the system after Myrs
of apparently stable and bounded evolution. In such a case, numerically
efficient dynamical maps are useful to resolve the fine structure of the phase
space and to identify the sources of unstable behavior.
| astro-ph | we describe numerical tools for the stability analysis of extrasolar planetary systems in particular we consider the relative poincare variables and symplectic integration of the equations of motion we apply the tangent map to derive a numerically efficient algorithm of the fast indicator megno a measure of the maximal lyapunov exponent that helps to distinguish chaotic and regular configurations the results concerning the threeplanet extrasolar system hd 37124 are presented and discussed the best fit solutions found in earlier works are studied more closely the system involves jovian planets with similar masses the orbits have moderate eccentricities nevertheless the best fit solutions are found in dynamically active region of the phase space the long term stability of the system is determined by a net of loworder twobody and threebody mean motion resonances in particular the threebody resonances may induce strong chaos that leads to selfdestruction of the system after myrs of apparently stable and bounded evolution in such a case numerically efficient dynamical maps are useful to resolve the fine structure of the phase space and to identify the sources of unstable behavior | [['we', 'describe', 'numerical', 'tools', 'for', 'the', 'stability', 'analysis', 'of', 'extrasolar', 'planetary', 'systems', 'in', 'particular', 'we', 'consider', 'the', 'relative', 'poincare', 'variables', 'and', 'symplectic', 'integration', 'of', 'the', 'equations', 'of', 'motion', 'we', 'apply', 'the', 'tangent', 'map', 'to', 'derive', 'a', 'numerically', 'efficient', 'algorithm', 'of', 'the', 'fast', 'indicator', 'megno', 'a', 'measure', 'of', 'the', 'maximal', 'lyapunov', 'exponent', 'that', 'helps', 'to', 'distinguish', 'chaotic', 'and', 'regular', 'configurations', 'the', 'results', 'concerning', 'the', 'threeplanet', 'extrasolar', 'system', 'hd', '37124', 'are', 'presented', 'and', 'discussed', 'the', 'best', 'fit', 'solutions', 'found', 'in', 'earlier', 'works', 'are', 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0.3187031832732301, 0.15347621097901196, 0.09043262340891801, -0.2690627032546123, 0.05265640362074899, 0.07249641695587522] |
710.5441 | Community Detecting By Signaling on Complex Networks | Based on signaling process on complex networks, a method for identification
community structure is proposed. For a network with $n$ nodes, every node is
assumed to be a system which can send, receive, and record signals. Each node
is taken as the initial signal source once to inspire the whole network by
exciting its neighbors and then the source node is endowed a $n$d vector which
recording the effects of signaling process. So by this process, the topological
relationship of nodes on networks could be transferred into the geometrical
structure of vectors in $n$d Euclidian space. Then the best partition of groups
is determined by $F$-statistic and the final community structure is given by
Fuzzy $C$-means clustering method (FCM). This method can detect community
structure both in unweighted and weighted networks without any extra
parameters. It has been applied to ad hoc networks and some real networks
including Zachary Karate Club network and football team network. The results
are compared with that of other approaches and the evidence indicates that the
algorithm based on signaling process is effective.
| physics.soc-ph physics.data-an | based on signaling process on complex networks a method for identification community structure is proposed for a network with n nodes every node is assumed to be a system which can send receive and record signals each node is taken as the initial signal source once to inspire the whole network by exciting its neighbors and then the source node is endowed a nd vector which recording the effects of signaling process so by this process the topological relationship of nodes on networks could be transferred into the geometrical structure of vectors in nd euclidian space then the best partition of groups is determined by fstatistic and the final community structure is given by fuzzy cmeans clustering method fcm this method can detect community structure both in unweighted and weighted networks without any extra parameters it has been applied to ad hoc networks and some real networks including zachary karate club network and football team network the results are compared with that of other approaches and the evidence indicates that the algorithm based on signaling process is effective | [['based', 'on', 'signaling', 'process', 'on', 'complex', 'networks', 'a', 'method', 'for', 'identification', 'community', 'structure', 'is', 'proposed', 'for', 'a', 'network', 'with', 'n', 'nodes', 'every', 'node', 'is', 'assumed', 'to', 'be', 'a', 'system', 'which', 'can', 'send', 'receive', 'and', 'record', 'signals', 'each', 'node', 'is', 'taken', 'as', 'the', 'initial', 'signal', 'source', 'once', 'to', 'inspire', 'the', 'whole', 'network', 'by', 'exciting', 'its', 'neighbors', 'and', 'then', 'the', 'source', 'node', 'is', 'endowed', 'a', 'nd', 'vector', 'which', 'recording', 'the', 'effects', 'of', 'signaling', 'process', 'so', 'by', 'this', 'process', 'the', 'topological', 'relationship', 'of', 'nodes', 'on', 'networks', 'could', 'be', 'transferred', 'into', 'the', 'geometrical', 'structure', 'of', 'vectors', 'in', 'nd', 'euclidian', 'space', 'then', 'the', 'best', 'partition', 'of', 'groups', 'is', 'determined', 'by', 'fstatistic', 'and', 'the', 'final', 'community', 'structure', 'is', 'given', 'by', 'fuzzy', 'cmeans', 'clustering', 'method', 'fcm', 'this', 'method', 'can', 'detect', 'community', 'structure', 'both', 'in', 'unweighted', 'and', 'weighted', 'networks', 'without', 'any', 'extra', 'parameters', 'it', 'has', 'been', 'applied', 'to', 'ad', 'hoc', 'networks', 'and', 'some', 'real', 'networks', 'including', 'zachary', 'karate', 'club', 'network', 'and', 'football', 'team', 'network', 'the', 'results', 'are', 'compared', 'with', 'that', 'of', 'other', 'approaches', 'and', 'the', 'evidence', 'indicates', 'that', 'the', 'algorithm', 'based', 'on', 'signaling', 'process', 'is', 'effective']] | [-0.11440787408281813, 0.05332961639525432, -0.0709392240681696, 0.042512246531382365, -0.11639839023079597, -0.18440852231336916, 0.08259116427638055, 0.41608353636196155, -0.2750484629408613, -0.2956226941648075, 0.10175126247249251, -0.2942760803349567, -0.2229459200465131, 0.12250279633098105, -0.030812347106363498, 0.02268311070975471, 0.09893252035495669, 0.12886970348556767, 0.03714533322857002, -0.24936470367325722, 0.3397397217968625, 0.08487675330088881, 0.31261318789800274, 0.01683132371242587, 0.11519845462341406, 0.006502196071093923, -0.026728369306061376, 0.045678980441684204, -0.032607908351258555, 0.11621018016208591, 0.24019341312055842, 0.20240732956693372, 0.26772148583837774, -0.4202669909493043, -0.26501689103609893, 0.13711793373307485, 0.1398663935748588, 0.08571047867841892, 0.011116166672344958, -0.33844516246338907, 0.13334025558165347, -0.15336249181686828, -0.03946063412730111, -0.06497814464304345, 0.00609193190937506, 0.033032567044092194, -0.28786508779151343, 0.002570391702433012, 0.01785736994195227, 0.015798226396521824, -0.05273226733918542, -0.10618226704896648, -0.036465396644191794, 0.15911247205444393, -0.024494732337025402, 0.08591327338814317, 0.13844379457727524, -0.10011079450912272, -0.16752468834087, 0.3738384459460719, -0.010924147990050861, -0.2180739787079883, 0.1408681047768358, -0.06745151694068748, -0.1374573525016162, 0.1119018386044864, 0.20542920569711354, 0.07695847388953389, -0.1632001951109262, 0.05311793353692419, -0.022210418994883806, 0.17408085085995748, 0.03985568447812889, -0.00028950099184523137, 0.15496883650697515, 0.21166767199324926, 0.08137987309470354, 0.11627645764775899, -0.0919557022181957, -0.0751108380526388, -0.2103469333623855, -0.1137857459318102, -0.23411201942042353, -0.004693068150598346, -0.13152470257798055, -0.1347745126518787, 0.4075996319506987, 0.11755664694238077, 0.21155586061224843, 0.037992344322886444, 0.30139543994047335, 0.05037746349679243, 0.10981941718890677, 0.0927329101741021, 0.18130778327529984, 0.09954916986929818, 0.10331362201779913, -0.13879294382418725, 0.1484960835215144, 0.05642355561617427] |
710.5442 | Parameter Estimation for Partially Observed Hypoelliptic Diffusions | Hypoelliptic diffusion processes can be used to model a variety of phenomena
in applications ranging from molecular dynamics to audio signal analysis. We
study parameter estimation for such processes in situations where we observe
some components of the solution at discrete times. Since exact likelihoods for
the transition densities are typically not known, approximations are used that
are expected to work well in the limit of small inter-sample times $\Delta t$
and large total observation times $N\Delta t$. Hypoellipticity together with
partial observation leads to ill-conditioning requiring a judicious combination
of approximate likelihoods for the various parameters to be estimated. We
combine these in a deterministic scan Gibbs sampler alternating between missing
data in the unobserved solution components, and parameters. Numerical
experiments illustrate asymptotic consistency of the method when applied to
simulated data. The paper concludes with application of the Gibbs sampler to
molecular dynamics data.
| stat.ME | hypoelliptic diffusion processes can be used to model a variety of phenomena in applications ranging from molecular dynamics to audio signal analysis we study parameter estimation for such processes in situations where we observe some components of the solution at discrete times since exact likelihoods for the transition densities are typically not known approximations are used that are expected to work well in the limit of small intersample times delta t and large total observation times ndelta t hypoellipticity together with partial observation leads to illconditioning requiring a judicious combination of approximate likelihoods for the various parameters to be estimated we combine these in a deterministic scan gibbs sampler alternating between missing data in the unobserved solution components and parameters numerical experiments illustrate asymptotic consistency of the method when applied to simulated data the paper concludes with application of the gibbs sampler to molecular dynamics data | [['hypoelliptic', 'diffusion', 'processes', 'can', 'be', 'used', 'to', 'model', 'a', 'variety', 'of', 'phenomena', 'in', 'applications', 'ranging', 'from', 'molecular', 'dynamics', 'to', 'audio', 'signal', 'analysis', 'we', 'study', 'parameter', 'estimation', 'for', 'such', 'processes', 'in', 'situations', 'where', 'we', 'observe', 'some', 'components', 'of', 'the', 'solution', 'at', 'discrete', 'times', 'since', 'exact', 'likelihoods', 'for', 'the', 'transition', 'densities', 'are', 'typically', 'not', 'known', 'approximations', 'are', 'used', 'that', 'are', 'expected', 'to', 'work', 'well', 'in', 'the', 'limit', 'of', 'small', 'intersample', 'times', 'delta', 't', 'and', 'large', 'total', 'observation', 'times', 'ndelta', 't', 'hypoellipticity', 'together', 'with', 'partial', 'observation', 'leads', 'to', 'illconditioning', 'requiring', 'a', 'judicious', 'combination', 'of', 'approximate', 'likelihoods', 'for', 'the', 'various', 'parameters', 'to', 'be', 'estimated', 'we', 'combine', 'these', 'in', 'a', 'deterministic', 'scan', 'gibbs', 'sampler', 'alternating', 'between', 'missing', 'data', 'in', 'the', 'unobserved', 'solution', 'components', 'and', 'parameters', 'numerical', 'experiments', 'illustrate', 'asymptotic', 'consistency', 'of', 'the', 'method', 'when', 'applied', 'to', 'simulated', 'data', 'the', 'paper', 'concludes', 'with', 'application', 'of', 'the', 'gibbs', 'sampler', 'to', 'molecular', 'dynamics', 'data']] | [-0.0744430578942889, 0.09308943568811791, -0.07671819899983909, 0.08168616066830335, -0.06864405365354598, -0.12065085171951517, 0.05998794465287499, 0.3969240272194402, -0.2906168950944884, -0.3323939276782617, 0.12719903411965638, -0.2762495791794707, -0.10146631878220208, 0.19168501059454546, -0.019468467937756893, 0.10157184449522054, 0.09328271487523636, 0.002065085770868479, -0.07159233934202947, -0.19822463873544172, 0.2484309161799539, 0.03609400986668284, 0.2511587374435406, 0.007005879792627202, 0.11563398264753569, -0.03523045451035851, -0.03143841245415786, -0.005813445329780958, -0.15435982157009986, 0.06930005750044772, 0.2931982448248014, 0.11106507615537115, 0.23878591548498362, -0.42991528879493884, -0.22208179288531002, 0.1434820015043218, 0.15474852513241238, 0.11427591844104638, -0.009335960291823603, -0.274353372350922, 0.06719789938675877, -0.1307176718797215, -0.11452589515988931, -0.12296531210679, -0.005806937829706154, 0.06598938026701495, -0.3464732579025759, 0.11949199506269818, 0.019920849430291876, 0.03289296623631954, -0.03442247474425766, -0.14038509234294858, 0.016865770282281232, 0.0901156446335547, 0.09082747894946856, -0.0003899035637254176, 0.1151574260861396, -0.1198297179222732, -0.10705741264933899, 0.3439223496689882, -0.08265462617807677, -0.21867603270260438, 0.21102546311417364, -0.12537600369230933, -0.1741448618178192, 0.14481891942695294, 0.19784577171739243, 0.12096856046812482, -0.1651737900577009, 0.08421871001905545, 0.023791712402582984, 0.13917395191853993, 0.021346171641696807, 0.0059547926369442105, 0.12032150306375315, 0.15537424462573118, 0.0668736559023709, 0.11137186439727012, -0.10337031222257942, -0.1476798708461327, -0.29279499313449614, -0.115285779668452, -0.2058339445622102, 0.04756306503408617, -0.10889233650292002, -0.13928019029266928, 0.34838154759538703, 0.20855533243603494, 0.2542061826903118, 0.053156468822710114, 0.2888881203922609, 0.13016348027652894, 0.027883098855429674, 0.05124293158009444, 0.1547649705294944, 0.13135914229277573, 0.061701972608467284, -0.18222436816463478, 0.08002853449848672, 0.017299055066023483] |
710.5443 | B(d,s)-anti-B(d,s) mixing and Lepton Flavour Violation in SUSY GUTs:
impact of the first measurements of phi(s) | In this work we re-examine the correlation between B(d,s)-anti-B(d,s) mixing
and Lepton Flavour Violation in the light of recent experimental measurements
in the $B_s$ system. We perform a generic SUSY analysis of the allowed down
squark mass insertion parameter space. In the SUSY GUT scenario this parameter
space is then used to make predictions for LFV branching ratios. We find that
the recent measurement for the CP phase $\phi_s$ excludes the lowest rates for
tau --> mu + gamma and provides a lower bound of ~ 3E-9 for tan beta = 10.
Future experimental improvements in the bound on tau --> mu + gamma and the
measurement of phi(s) will constitute a strong test of the SUSY GUT scenario.
| hep-ph | in this work we reexamine the correlation between bdsantibds mixing and lepton flavour violation in the light of recent experimental measurements in the b_s system we perform a generic susy analysis of the allowed down squark mass insertion parameter space in the susy gut scenario this parameter space is then used to make predictions for lfv branching ratios we find that the recent measurement for the cp phase phi_s excludes the lowest rates for tau mu gamma and provides a lower bound of 3e9 for tan beta 10 future experimental improvements in the bound on tau mu gamma and the measurement of phis will constitute a strong test of the susy gut scenario | [['in', 'this', 'work', 'we', 'reexamine', 'the', 'correlation', 'between', 'bdsantibds', 'mixing', 'and', 'lepton', 'flavour', 'violation', 'in', 'the', 'light', 'of', 'recent', 'experimental', 'measurements', 'in', 'the', 'b_s', 'system', 'we', 'perform', 'a', 'generic', 'susy', 'analysis', 'of', 'the', 'allowed', 'down', 'squark', 'mass', 'insertion', 'parameter', 'space', 'in', 'the', 'susy', 'gut', 'scenario', 'this', 'parameter', 'space', 'is', 'then', 'used', 'to', 'make', 'predictions', 'for', 'lfv', 'branching', 'ratios', 'we', 'find', 'that', 'the', 'recent', 'measurement', 'for', 'the', 'cp', 'phase', 'phi_s', 'excludes', 'the', 'lowest', 'rates', 'for', 'tau', 'mu', 'gamma', 'and', 'provides', 'a', 'lower', 'bound', 'of', '3e9', 'for', 'tan', 'beta', '10', 'future', 'experimental', 'improvements', 'in', 'the', 'bound', 'on', 'tau', 'mu', 'gamma', 'and', 'the', 'measurement', 'of', 'phis', 'will', 'constitute', 'a', 'strong', 'test', 'of', 'the', 'susy', 'gut', 'scenario']] | [-0.13224099826194496, 0.2543743356363848, -0.031062211147010594, 0.12111456283413904, -0.05549484285126839, -0.1595998574380896, 0.1550645535836728, 0.294154530499197, -0.17681373741860235, -0.30189657106114154, 0.0500105893037731, -0.24309295240008005, -0.027862017271607847, 0.17751935300891222, 0.030361050698307475, 0.11199931488122924, 0.06864673564476627, -0.0297269410491156, -0.10287869950324031, -0.1795949977469198, 0.2478027951853749, 0.04829133716079274, 0.20311023726493918, 0.1016009738003569, -0.01861129662471025, -0.04788944459661642, -0.06165577824867796, -0.11076733991389379, -0.198615969480995, 0.07920918536962875, 0.17825251697961772, 0.13270659225444043, 0.09505026987088579, -0.31069121662793414, -0.12560869813231484, 0.20860886128502898, 0.13514833548106253, 0.04405655284478728, -0.060019659918907564, -0.2910638645428532, 0.07179545191372329, -0.1786000015771216, -0.07467274670073364, -0.06860880996932142, 0.020391187626436085, -0.13260267911911278, -0.40003330166551415, 0.12502247231688152, -0.033300917595624924, -0.011475816398160532, 0.014263717623959695, -0.17631356628823727, -4.473821692434805e-05, 0.04743546790892391, 0.14021428149551088, 0.05045029207082864, 0.13730878808252914, -0.14181079532967747, -0.13458157282054475, 0.39563171561374993, -0.11165962633406577, -0.1805084441272941, 0.15017849110466028, -0.2276846582286193, -0.2536269910633564, 0.09497890460105347, 0.20391094179025718, 0.07104640752991795, -0.11588237756015067, 0.1986589625079692, -0.054766766751916815, 0.17191252418810368, 0.05035231455362269, 0.05334946249994183, 0.21804001361929945, 0.24233467955907276, 0.08202632592292503, 0.04582178417227364, -0.12412413544578678, -0.03894459369725415, -0.4211792001068326, -0.17369031200671867, -0.08905863170886212, 0.059713782803945445, -0.10258664191145986, -0.053194414549839815, 0.3649711146260545, 0.14025428821332753, 0.2849788524992099, 0.08175307060550299, 0.2669431175059539, 0.06299447914664467, 0.047262862574176064, -0.02170154284353235, 0.34202399886479334, 0.11944000583649281, 0.12677973358118574, -0.2651553231989965, 0.026880683317098635, 0.03826163270527364] |
710.5444 | Light propagation in atomic Mott Insulators | We study radiation-matter interaction in a system of ultracold atoms trapped
in an optical lattice in a Mott insulator phase. We develop a fully general
quantum model, and we perform calculations for a one-dimensional geometry at
normal incidence. Both two- and three-level $\Lambda$ atomic configurations are
studied. The polariton dispersion and the reflectivity spectra are
characterized in the different regimes, for both semi-infinite and finite-size
geometries. We apply this model to propose a photon energy lifter experiment: a
device which is able to shift the carrier frequency of a slowly travelling
wavepacket without affecting the pulse shape nor its coherence.
| physics.optics cond-mat.other physics.atom-ph | we study radiationmatter interaction in a system of ultracold atoms trapped in an optical lattice in a mott insulator phase we develop a fully general quantum model and we perform calculations for a onedimensional geometry at normal incidence both two and threelevel lambda atomic configurations are studied the polariton dispersion and the reflectivity spectra are characterized in the different regimes for both semiinfinite and finitesize geometries we apply this model to propose a photon energy lifter experiment a device which is able to shift the carrier frequency of a slowly travelling wavepacket without affecting the pulse shape nor its coherence | [['we', 'study', 'radiationmatter', 'interaction', 'in', 'a', 'system', 'of', 'ultracold', 'atoms', 'trapped', 'in', 'an', 'optical', 'lattice', 'in', 'a', 'mott', 'insulator', 'phase', 'we', 'develop', 'a', 'fully', 'general', 'quantum', 'model', 'and', 'we', 'perform', 'calculations', 'for', 'a', 'onedimensional', 'geometry', 'at', 'normal', 'incidence', 'both', 'two', 'and', 'threelevel', 'lambda', 'atomic', 'configurations', 'are', 'studied', 'the', 'polariton', 'dispersion', 'and', 'the', 'reflectivity', 'spectra', 'are', 'characterized', 'in', 'the', 'different', 'regimes', 'for', 'both', 'semiinfinite', 'and', 'finitesize', 'geometries', 'we', 'apply', 'this', 'model', 'to', 'propose', 'a', 'photon', 'energy', 'lifter', 'experiment', 'a', 'device', 'which', 'is', 'able', 'to', 'shift', 'the', 'carrier', 'frequency', 'of', 'a', 'slowly', 'travelling', 'wavepacket', 'without', 'affecting', 'the', 'pulse', 'shape', 'nor', 'its', 'coherence']] | [-0.15426010185984348, 0.20976313663722426, -0.07696119547736915, 0.055850930647181364, 0.0026899289828960344, -0.18724186203884657, 0.06745109727342773, 0.46081543664537333, -0.23208015355178052, -0.23362180403424332, 0.018717072302042836, -0.2751470325876855, -0.0973463940500009, 0.176018895978823, 0.027182692143304103, 0.06049023464150407, 0.014907396362031424, -0.02684855038968075, -0.07761229298576111, -0.13952802131281733, 0.2986685142033931, 0.01810656699488372, 0.2969171748886995, 0.052671500919104525, 0.06803615022253132, 0.024426243644245345, 0.09761544152379337, 0.008162646968331601, -0.16871503602261795, 0.07829172483638325, 0.23365980903253505, -0.017483743467377594, 0.2159066709473428, -0.4616320062654488, -0.22958259743572484, 0.05639677761931612, 0.14584303628229958, 0.20734206174448547, -0.06258212277816251, -0.29294415922703765, -0.039233496280932666, -0.18287343652260424, -0.14875215751993837, -0.06866238335373276, -0.012384241823144633, 0.0046522022869362675, -0.24523759029354109, 0.05649394189675498, 0.045243133701421696, 0.06588711830570698, -0.07258815784477676, -0.0024194913032003725, 0.006300518265690165, 0.08105846004786366, -0.062366890104845016, -0.025733432760744385, 0.12245656656321241, -0.12679831771829136, -0.08212239557707851, 0.40062569606710563, -0.09385439419338122, -0.16294379617002877, 0.18163722783628136, -0.1677437109656331, -0.013047364610952862, 0.13682706405719122, 0.16534491978595128, 0.11167268439976856, -0.12873645614940823, 0.07294731605750969, -0.024191030452846353, 0.21501033888709958, 0.06641648530094611, 0.07138847620191166, 0.22657377540011597, 0.1789323432709683, 0.01988818272571973, 0.18189929548011283, -0.1385378598404879, -0.09844155637829592, -0.26281988425086245, -0.13243039009264773, -0.183762502837738, 0.03767167055283231, -0.04717714485719405, -0.17812787329382967, 0.4350433880745461, 0.101885221559893, 0.19508543293546848, -0.015473863626171768, 0.2910877371188065, 0.1541931238025427, 0.0008189387271425339, 0.037076286167245016, 0.25536723455621135, 0.14961719598545872, 0.09843953390549304, -0.2980186934394743, -0.02583407847718759, 0.01748752102462782] |
710.5445 | Tests of the lattice index theorem | We investigate the lattice index theorem and the localization of the
zero-modes for thick classical center vortices. For non-orientable spherical
vortices, the index of the overlap Dirac operator differs from the topological
charge although the traces of the plaquettes deviate only by a maximum of 1.5%
from trivial plaquettes. This may be related to the fact that even in Landau
gauge some links of these configuration are close to the non-trivial center
elements.
| hep-lat | we investigate the lattice index theorem and the localization of the zeromodes for thick classical center vortices for nonorientable spherical vortices the index of the overlap dirac operator differs from the topological charge although the traces of the plaquettes deviate only by a maximum of 15 from trivial plaquettes this may be related to the fact that even in landau gauge some links of these configuration are close to the nontrivial center elements | [['we', 'investigate', 'the', 'lattice', 'index', 'theorem', 'and', 'the', 'localization', 'of', 'the', 'zeromodes', 'for', 'thick', 'classical', 'center', 'vortices', 'for', 'nonorientable', 'spherical', 'vortices', 'the', 'index', 'of', 'the', 'overlap', 'dirac', 'operator', 'differs', 'from', 'the', 'topological', 'charge', 'although', 'the', 'traces', 'of', 'the', 'plaquettes', 'deviate', 'only', 'by', 'a', 'maximum', 'of', '15', 'from', 'trivial', 'plaquettes', 'this', 'may', 'be', 'related', 'to', 'the', 'fact', 'that', 'even', 'in', 'landau', 'gauge', 'some', 'links', 'of', 'these', 'configuration', 'are', 'close', 'to', 'the', 'nontrivial', 'center', 'elements']] | [-0.16249054633974008, 0.20407083999263506, -0.04453609678383968, 0.08685330246505009, -0.051255890385132945, -0.10539950516508663, 0.07636459992420286, 0.34134911590140976, -0.26359994731817954, -0.26101534853191816, 0.07056684633206627, -0.3041278810993041, -0.11943411400018591, 0.14189996641792663, -0.06717664395755617, -0.02422347423709827, 0.01262294230918872, 0.0634471568476715, -0.10454730900030022, -0.19195793990894183, 0.3575916790135511, -0.01051164592284556, 0.28539639521288135, 0.05433888872447487, -0.0032621207328079496, -0.004478944312423876, 0.008471427475778412, 0.01087071599075188, -0.11846285572720848, 0.12995865176852844, 0.19832838724737298, -0.030046900932051954, 0.1312376811322182, -0.41627892839071684, -0.18547259733776167, 0.09634108496957446, 0.15539842496836584, 0.11299488525072189, -0.020394959021359682, -0.2947825729489735, 0.12748855716000274, -0.14251841337432805, -0.18667126703554485, 0.014109528272680631, -0.02272058250254964, 0.0011797739728672864, -0.19329827249828369, 0.07472742203469962, 0.08814478448069055, 0.052244359206357234, -0.04234488532329871, -0.1139620939422756, -0.11450254319439808, 0.14480040476287473, 0.06247716134235467, 0.0257813129446482, 0.11983659417585354, -0.1750023586337442, -0.13485239096598267, 0.3732019538531871, -0.013107734190121498, -0.1742128744109036, 0.1664197804431801, -0.1791400494857704, -0.09467063937974099, 0.17246156693627573, 0.07954941729517424, 0.09921286790950658, -0.04702283588735617, 0.13114780111617907, -0.10993781414087096, 0.14756886218355536, 0.10151803037406851, 0.030470879536364483, 0.26119727337707394, 0.040157529892246815, 0.12028154247274546, 0.13155366487207834, -0.08417502073698664, -0.11874261131982179, -0.2960930645134147, -0.17357237238679335, -0.23350474908820365, 0.08641893074732937, -0.11221933632125052, -0.18655404838899228, 0.4241601040918533, 0.11669706789001644, 0.18091800154429183, -0.004957780857532196, 0.2055495693667294, 0.12413624527366603, 0.11118005982868068, 0.07470793160290955, 0.2512823625213358, 0.1524643107821323, 0.05589657409550392, -0.2260217768561146, -0.07111114709740123, 0.12290107294512842] |
710.5446 | The State of the Art in Hydrodynamic Turbulence: Past Successes and
Future Challenges | We present a personal view of the state of the art in turbulence research. We
summarize first the main achievements in the recent past, and then point ahead
to the main challenges that remain for experimental and theoretical efforts.
| nlin.CD cond-mat.other | we present a personal view of the state of the art in turbulence research we summarize first the main achievements in the recent past and then point ahead to the main challenges that remain for experimental and theoretical efforts | [['we', 'present', 'a', 'personal', 'view', 'of', 'the', 'state', 'of', 'the', 'art', 'in', 'turbulence', 'research', 'we', 'summarize', 'first', 'the', 'main', 'achievements', 'in', 'the', 'recent', 'past', 'and', 'then', 'point', 'ahead', 'to', 'the', 'main', 'challenges', 'that', 'remain', 'for', 'experimental', 'and', 'theoretical', 'efforts']] | [-0.05156515155417415, 0.0645517112257389, -0.06523868470237805, -0.02984811597241041, -0.08509504584929882, -0.022478533484853614, 0.048089007423139915, 0.37707019731020314, -0.26074903768797714, -0.2696429504177127, 0.13329138140528438, -0.3092588211099307, -0.17178562758729243, 0.23324067761691716, -0.12116523218365052, 0.08612303878777684, 0.1130836712053189, 0.008861286064180044, -0.0716904563865123, -0.3019178421355975, 0.33695479062123174, 0.05007155447338636, 0.28944317368456185, 0.12267111451962055, 0.04664883222908546, -0.0639835271673898, -0.062012969181896783, -0.0302639791312126, -0.17961728776516303, 0.20382038783282042, 0.2820554728237673, 0.19529861963998812, 0.37441774877982265, -0.49046727078847396, -0.21398493050573728, 0.02215151885190071, 0.13769308322419724, 0.16572973117805445, -0.11874989095406654, -0.2965477716941864, 0.09239038063260989, -0.14840879341444144, -0.15505872146250346, -0.04485138647783643, 0.0538970724058648, 0.039820183450594925, -0.11449724583862683, 0.005847177778681119, 0.06373005929307486, 0.06067034164563012, -0.1009905503059809, -0.20024190000138986, 0.08557418337426125, 0.20335545026673338, 0.1295303628923228, 0.08263137202280071, 0.07891501598537733, -0.22559472183004403, -0.18675903184339404, 0.34438710583326143, -0.03764249451267414, -0.05802804432236231, 0.17852937917296702, -0.16640420604306153, -0.22554571874057636, 0.04512781100586439, 0.18299659186950287, 0.06413651916843194, -0.10173751504566425, 0.034098989876488656, -0.029311564703209277, 0.10504904294234271, -0.0678386067589506, 0.009116387209640099, 0.26106652471786124, 0.2682424415476047, 0.026619346698937126, 0.0919165984273721, -0.10295330334263735, -0.1411369951107563, -0.3730623438381232, -0.16347463839711288, -0.13545685426260418, 0.01327555600959712, 0.06409900420634912, -0.06492008087344658, 0.4684517421783545, 0.31307339276640844, 0.18436452421622399, -0.0077376581119516724, 0.39373706619088084, -0.016546140735348065, -0.04732698130492981, 0.09304064039427501, 0.27514599330532247, 0.08349278062964097, 0.16978176101707879, -0.14500526861789134, 0.06503274659805286, -0.009257165759127254] |
710.5447 | Clusters in weighted macroeconomic networks : the EU case. Introducing
the overlapping index of GDP/capita fluctuation correlations | GDP/capita correlations are investigated in various time windows (TW), for
the time interval 1990-2005. The target group of countries is the set of 25 EU
members, 15 till 2004 plus the 10 countries which joined EU later on. The
TW-means of the statistical correlation coefficients are taken as the weights
(links) of a fully connected network having the countries as nodes. Thereafter
we define and introduce the overlapping index of weighted network nodes. A
cluster structure of EU countries is derived from the statistically relevant
eigenvalues and eigenvectors of the adjacency matrix. This may be considered to
yield some information about the structure, stability and evolution of the EU
country clusters in a macroeconomic sense.
| physics.soc-ph physics.data-an | gdpcapita correlations are investigated in various time windows tw for the time interval 19902005 the target group of countries is the set of 25 eu members 15 till 2004 plus the 10 countries which joined eu later on the twmeans of the statistical correlation coefficients are taken as the weights links of a fully connected network having the countries as nodes thereafter we define and introduce the overlapping index of weighted network nodes a cluster structure of eu countries is derived from the statistically relevant eigenvalues and eigenvectors of the adjacency matrix this may be considered to yield some information about the structure stability and evolution of the eu country clusters in a macroeconomic sense | [['gdpcapita', 'correlations', 'are', 'investigated', 'in', 'various', 'time', 'windows', 'tw', 'for', 'the', 'time', 'interval', '19902005', 'the', 'target', 'group', 'of', 'countries', 'is', 'the', 'set', 'of', '25', 'eu', 'members', '15', 'till', '2004', 'plus', 'the', '10', 'countries', 'which', 'joined', 'eu', 'later', 'on', 'the', 'twmeans', 'of', 'the', 'statistical', 'correlation', 'coefficients', 'are', 'taken', 'as', 'the', 'weights', 'links', 'of', 'a', 'fully', 'connected', 'network', 'having', 'the', 'countries', 'as', 'nodes', 'thereafter', 'we', 'define', 'and', 'introduce', 'the', 'overlapping', 'index', 'of', 'weighted', 'network', 'nodes', 'a', 'cluster', 'structure', 'of', 'eu', 'countries', 'is', 'derived', 'from', 'the', 'statistically', 'relevant', 'eigenvalues', 'and', 'eigenvectors', 'of', 'the', 'adjacency', 'matrix', 'this', 'may', 'be', 'considered', 'to', 'yield', 'some', 'information', 'about', 'the', 'structure', 'stability', 'and', 'evolution', 'of', 'the', 'eu', 'country', 'clusters', 'in', 'a', 'macroeconomic', 'sense']] | [-0.12555449956871437, 0.11231618282278027, -0.06236976344113659, 0.0829675871996308, -0.015299829825412779, -0.08715390682681999, 0.12368376822977335, 0.374228006212321, -0.29227248841352693, -0.30155971547407384, 0.09693970246677312, -0.3484064079161766, -0.08525384706238993, 0.09208088476144899, -0.027319740363915938, -0.016099264713383354, 0.07365557029266405, 0.08126841121213099, -0.028147398053248108, -0.2884697878539595, 0.3213494913858584, 0.0486412299673312, 0.2596654887166929, -0.0051313686571949355, 0.05031039088576068, -0.03688346139625111, -0.08905415820262799, 0.04024355130608037, -0.0867474686304948, 0.13673675096175525, 0.29132136590449154, 0.14046035410498425, 0.30103607456389386, -0.38095760997384787, -0.16421325513279164, 0.08833399623533529, 0.10339868752969907, 0.011156878773065333, 0.046287090627814484, -0.29711780477360517, 0.08252988751994166, -0.20429291290156873, -0.10984539657427345, -0.0040484240023106076, 0.05229021126684626, 0.03590212276502125, -0.24873162383745234, 0.10135168899303978, -0.006522452520552726, 0.0851809102392846, -0.0459513529327459, -0.16076643722115364, -0.0681328738460614, 0.20686068877050307, 0.02694034922159219, -0.03310040318699702, 0.11520865784166792, -0.061770873158692126, -0.0912626527782439, 0.35063155563713044, -0.0016646232719706223, -0.10238398627204968, 0.13375632343525315, -0.1660973516218694, -0.1554640363922458, 0.057992207549875024, 0.1837885978773846, 0.05509097088721737, -0.1932871339984848, 0.06403322726440723, -0.03719888014751857, 0.15635704526067834, 0.09627097506339835, 0.010938606173442923, 0.16763611821935767, 0.12784898098953792, 0.08564811928065873, 0.07958435084963365, -0.09784059452131984, -0.10437644193921469, -0.25048891220250025, -0.13498405869473265, -0.1582057816058859, 0.01264128453238348, -0.16056478582283965, -0.16954333126231763, 0.45596070254666615, 0.041605735227539804, 0.1869892925807003, 0.04720001344247598, 0.17020931505120104, 0.07050763339381685, 0.08644427334790868, 0.1310703357356081, 0.2075765513770171, 0.15023151077165275, 0.14836514919720162, -0.1365189711538564, 0.13126334124780467, 0.029102477543797772] |
710.5448 | Exciton-Polariton scattering for defect detection in cold atom Optical
Lattices | We study the effect of defects in the Mott insulator phase of ultracold atoms
in an optical lattice on the dynamics of resonant excitations. Defects, which
can either be empty sites in a Mott insulator state with one atom per site or a
singly occupied site for a filling factor two, change the dynamics of Frenkel
excitons and cavity polaritons. While the vacancies in first case behave like
hard sphere scatters for excitons, singly occupied sites in the latter case can
lead to attractive or repulsive scattering potentials. We suggest cavity
polaritons as observation tool of such defects, and show how the scattering can
be controlled in changing the exciton-photon detuning. In the case of
asymmetric optical lattice sites we present how the scattering effective
potential can be detuned by the cavity photon polarization direction, with the
possibility of a crossover from a repulsive into an attractive potential.
| quant-ph | we study the effect of defects in the mott insulator phase of ultracold atoms in an optical lattice on the dynamics of resonant excitations defects which can either be empty sites in a mott insulator state with one atom per site or a singly occupied site for a filling factor two change the dynamics of frenkel excitons and cavity polaritons while the vacancies in first case behave like hard sphere scatters for excitons singly occupied sites in the latter case can lead to attractive or repulsive scattering potentials we suggest cavity polaritons as observation tool of such defects and show how the scattering can be controlled in changing the excitonphoton detuning in the case of asymmetric optical lattice sites we present how the scattering effective potential can be detuned by the cavity photon polarization direction with the possibility of a crossover from a repulsive into an attractive potential | [['we', 'study', 'the', 'effect', 'of', 'defects', 'in', 'the', 'mott', 'insulator', 'phase', 'of', 'ultracold', 'atoms', 'in', 'an', 'optical', 'lattice', 'on', 'the', 'dynamics', 'of', 'resonant', 'excitations', 'defects', 'which', 'can', 'either', 'be', 'empty', 'sites', 'in', 'a', 'mott', 'insulator', 'state', 'with', 'one', 'atom', 'per', 'site', 'or', 'a', 'singly', 'occupied', 'site', 'for', 'a', 'filling', 'factor', 'two', 'change', 'the', 'dynamics', 'of', 'frenkel', 'excitons', 'and', 'cavity', 'polaritons', 'while', 'the', 'vacancies', 'in', 'first', 'case', 'behave', 'like', 'hard', 'sphere', 'scatters', 'for', 'excitons', 'singly', 'occupied', 'sites', 'in', 'the', 'latter', 'case', 'can', 'lead', 'to', 'attractive', 'or', 'repulsive', 'scattering', 'potentials', 'we', 'suggest', 'cavity', 'polaritons', 'as', 'observation', 'tool', 'of', 'such', 'defects', 'and', 'show', 'how', 'the', 'scattering', 'can', 'be', 'controlled', 'in', 'changing', 'the', 'excitonphoton', 'detuning', 'in', 'the', 'case', 'of', 'asymmetric', 'optical', 'lattice', 'sites', 'we', 'present', 'how', 'the', 'scattering', 'effective', 'potential', 'can', 'be', 'detuned', 'by', 'the', 'cavity', 'photon', 'polarization', 'direction', 'with', 'the', 'possibility', 'of', 'a', 'crossover', 'from', 'a', 'repulsive', 'into', 'an', 'attractive', 'potential']] | [-0.14352766877493342, 0.26085382920388617, -0.020932297426829668, 0.050068853089485214, 0.021802792212346923, -0.2209912298272389, 0.1065502568074137, 0.43045825554007616, -0.26239181774970444, -0.2273495311068522, -0.011620838795253705, -0.350965537561884, -0.10135098778000856, 0.11537699717194522, 0.06407392576236177, -0.04744945710990578, 0.01904742916844584, -0.037831802953135325, -0.006181145690985628, -0.2167838731201718, 0.3097234388704827, 0.02563402518894322, 0.2589265029575374, 0.13471253082860965, 0.0006653460724329627, 0.041653617615559815, 0.15084513200988137, -0.010680886048420862, -0.10184566060244735, 0.08324188754842318, 0.2142536020523088, -0.09201764275486632, 0.20550395869901655, -0.4848236935716626, -0.18275492192352996, 0.07578992879811071, 0.23515219259098633, 0.21681885187894837, -0.10134785638719394, -0.32928936593266, -0.10256620650565114, -0.14191880050694217, -0.16361810411389516, -0.04173825073018167, 0.00493271870544885, 0.029657423856111267, -0.24183822781904726, 0.07448798426717199, 0.0281444164700932, 0.02439867180293879, -0.09481368579027066, -0.05169910224582497, -0.050660401629913296, 0.07312411676488213, -0.008578230551368481, 0.03916075832770533, 0.19427498100275123, -0.14734028114125486, -0.12686456198728568, 0.41595064084489225, -0.11211140545925151, -0.15387608075036188, 0.1866054321525971, -0.17550333753240774, -0.022045591688790434, 0.19198701571597643, 0.149418797128837, 0.09627601899036735, -0.07745219593099947, 0.06198057420300068, -0.019087784453232243, 0.20469982691370328, 0.06745704551026024, 0.0963494224439224, 0.3044538043338705, 0.18107154886741694, 0.05900893927350439, 0.21149602197378092, -0.10368696765539967, -0.0712496273634905, -0.2303288431296981, -0.16919282184657325, -0.24097046612547962, 0.06530593397297166, -0.047376214979472885, -0.17013419185437867, 0.3824931310640799, 0.07892863922186096, 0.17403797857538872, -0.10632651922138836, 0.23663525721624595, 0.12552653630563007, 0.07178117139139087, -0.002916320481941708, 0.2863701422623283, 0.0943158850454524, 0.0657305319249202, -0.28628699278704367, -0.010184464645823715, 0.043302303287074774] |
710.5449 | Interpretation of the Stephan Quintet Galaxy Cluster using
Hydro-Gravitational-Dynamics: Viscosity and Fragmentation | Stephan's Quintet (SQ) is a compact group of galaxies that has been well
studied since its discovery in 1877 but is mysterious using cold dark matter
hierarchical clustering cosmology (CDMHCC). Anomalous red shifts $z =
(0.0027,0.019, 0.022, 0.022, 0.022)$ among galaxies in SQ either reduce it to a
Trio with two highly improbable intruders from CDMHCC or support the Arp (1973)
hypothesis that its red shifts are intrinsic. An alternative is provided by the
Gibson 1996-2006 hydro-gravitational-dynamics (HGD) theory where superclusters,
clusters and galaxies all originate by gravitational fragmentation in the
super-viscous plasma epoch and at planetary and star cluster mass scales in the
primordial gas of the expanding universe. By this fluid-mechanical cosmology,
the SQ galaxies gently separate and remain precisely along a line of sight
because of perspective and the small transverse velocities permitted by their
sticky viscous-gravitational beginnings. Star and gas bridges and
young-globular-star-cluster (YGC) trails observed by the Hubble Space Telescope
are triggered as SQ galaxies separate through viscous baryonic-dark-matter
halos of dark proto-globular-cluster (PGC) clumps of frozen Earth-mass
primordial-fog-particles (PFPs).
| astro-ph | stephans quintet sq is a compact group of galaxies that has been well studied since its discovery in 1877 but is mysterious using cold dark matter hierarchical clustering cosmology cdmhcc anomalous red shifts z 000270019 0022 0022 0022 among galaxies in sq either reduce it to a trio with two highly improbable intruders from cdmhcc or support the arp 1973 hypothesis that its red shifts are intrinsic an alternative is provided by the gibson 19962006 hydrogravitationaldynamics hgd theory where superclusters clusters and galaxies all originate by gravitational fragmentation in the superviscous plasma epoch and at planetary and star cluster mass scales in the primordial gas of the expanding universe by this fluidmechanical cosmology the sq galaxies gently separate and remain precisely along a line of sight because of perspective and the small transverse velocities permitted by their sticky viscousgravitational beginnings star and gas bridges and youngglobularstarcluster ygc trails observed by the hubble space telescope are triggered as sq galaxies separate through viscous baryonicdarkmatter halos of dark protoglobularcluster pgc clumps of frozen earthmass primordialfogparticles pfps | [['stephans', 'quintet', 'sq', 'is', 'a', 'compact', 'group', 'of', 'galaxies', 'that', 'has', 'been', 'well', 'studied', 'since', 'its', 'discovery', 'in', '1877', 'but', 'is', 'mysterious', 'using', 'cold', 'dark', 'matter', 'hierarchical', 'clustering', 'cosmology', 'cdmhcc', 'anomalous', 'red', 'shifts', 'z', '000270019', '0022', '0022', '0022', 'among', 'galaxies', 'in', 'sq', 'either', 'reduce', 'it', 'to', 'a', 'trio', 'with', 'two', 'highly', 'improbable', 'intruders', 'from', 'cdmhcc', 'or', 'support', 'the', 'arp', '1973', 'hypothesis', 'that', 'its', 'red', 'shifts', 'are', 'intrinsic', 'an', 'alternative', 'is', 'provided', 'by', 'the', 'gibson', '19962006', 'hydrogravitationaldynamics', 'hgd', 'theory', 'where', 'superclusters', 'clusters', 'and', 'galaxies', 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710.545 | Weak order for the discretization of the stochastic heat equation | In this paper we study the approximation of the distribution of $X_t$
Hilbert--valued stochastic process solution of a linear parabolic stochastic
partial differential equation written in an abstract form as $$ dX_t+AX_t dt =
Q^{1/2} d W_t, \quad X_0=x \in H, \quad t\in[0,T], $$ driven by a Gaussian
space time noise whose covariance operator $Q$ is given. We assume that
$A^{-\alpha}$ is a finite trace operator for some $\alpha>0$ and that $Q$ is
bounded from $H$ into $D(A^\beta)$ for some $\beta\geq 0$. It is not required
to be nuclear or to commute with $A$. The discretization is achieved thanks to
finite element methods in space (parameter $h>0$) and implicit Euler schemes in
time (parameter $\Delta t=T/N$). We define a discrete solution $X^n_h$ and for
suitable functions $\phi$ defined on $H$, we show that $$ |\E \phi(X^N_h) - \E
\phi(X_T) | = O(h^{2\gamma} + \Delta t^\gamma) $$ \noindent where $\gamma<1-
\alpha + \beta$. Let us note that as in the finite dimensional case the rate of
convergence is twice the one for pathwise approximations.
| math.NA | in this paper we study the approximation of the distribution of x_t hilbertvalued stochastic process solution of a linear parabolic stochastic partial differential equation written in an abstract form as dx_tax_t dt q12 d w_t quad x_0x in h quad tin0t driven by a gaussian space time noise whose covariance operator q is given we assume that aalpha is a finite trace operator for some alpha0 and that q is bounded from h into dabeta for some betageq 0 it is not required to be nuclear or to commute with a the discretization is achieved thanks to finite element methods in space parameter h0 and implicit euler schemes in time parameter delta ttn we define a discrete solution xn_h and for suitable functions phi defined on h we show that e phixn_h e phix_t oh2gamma delta tgamma noindent where gamma1 alpha beta let us note that as in the finite dimensional case the rate of convergence is twice the one for pathwise approximations | [['in', 'this', 'paper', 'we', 'study', 'the', 'approximation', 'of', 'the', 'distribution', 'of', 'x_t', 'hilbertvalued', 'stochastic', 'process', 'solution', 'of', 'a', 'linear', 'parabolic', 'stochastic', 'partial', 'differential', 'equation', 'written', 'in', 'an', 'abstract', 'form', 'as', 'dx_tax_t', 'dt', 'q12', 'd', 'w_t', 'quad', 'x_0x', 'in', 'h', 'quad', 'tin0t', 'driven', 'by', 'a', 'gaussian', 'space', 'time', 'noise', 'whose', 'covariance', 'operator', 'q', 'is', 'given', 'we', 'assume', 'that', 'aalpha', 'is', 'a', 'finite', 'trace', 'operator', 'for', 'some', 'alpha0', 'and', 'that', 'q', 'is', 'bounded', 'from', 'h', 'into', 'dabeta', 'for', 'some', 'betageq', '0', 'it', 'is', 'not', 'required', 'to', 'be', 'nuclear', 'or', 'to', 'commute', 'with', 'a', 'the', 'discretization', 'is', 'achieved', 'thanks', 'to', 'finite', 'element', 'methods', 'in', 'space', 'parameter', 'h0', 'and', 'implicit', 'euler', 'schemes', 'in', 'time', 'parameter', 'delta', 'ttn', 'we', 'define', 'a', 'discrete', 'solution', 'xn_h', 'and', 'for', 'suitable', 'functions', 'phi', 'defined', 'on', 'h', 'we', 'show', 'that', 'e', 'phixn_h', 'e', 'phix_t', 'oh2gamma', 'delta', 'tgamma', 'noindent', 'where', 'gamma1', 'alpha', 'beta', 'let', 'us', 'note', 'that', 'as', 'in', 'the', 'finite', 'dimensional', 'case', 'the', 'rate', 'of', 'convergence', 'is', 'twice', 'the', 'one', 'for', 'pathwise', 'approximations']] | [-0.12986309351281652, 0.11944879020670726, -0.06329537357521962, 0.03431873381566531, -0.06486834449799661, -0.18752383861007005, 0.0055876468437947805, 0.3539528642321312, -0.3470435617609492, -0.1619387238251069, 0.09892723742703748, -0.2934300748710933, -0.08652971580158919, 0.17714142050635354, -0.05240462368200946, 0.06475673721258858, 0.0222590960771482, 0.07606415607070527, -0.061614334472761594, -0.20077581739618997, 0.32032382850022395, -0.05153601206956974, 0.1420566466625167, -0.016007188424656663, 0.14774051935801022, -0.022160395545165846, -0.011873795599323002, 0.0036814690761332977, -0.2119097542734242, 0.00231164099966895, 0.24835298446160328, 0.07496314130640955, 0.31257558927600143, -0.3517072061371483, -0.16599163252276758, 0.2020834800024676, 0.16503175589678915, -0.025569248915048717, 0.007901761663894911, -0.24682828968337772, 0.11325638828492618, -0.14824205790823208, -0.15447966909165717, -0.04873721474483963, 0.09999585813913447, 0.04356164977255077, -0.39629241766089784, 0.09297506967441568, 0.10589020906010337, 0.002165780401246363, -0.038750367613414986, -0.1386487441096172, -0.01750420091476268, 0.025704018672916426, 0.0020966549855995853, 0.11487981191647675, 0.042763390587171234, -0.07557870755827716, -0.04562338258440406, 0.3628520450814144, -0.1491987114842934, -0.30530907427066867, 0.06910921688946083, -0.20483604831255595, -0.14201336579921928, 0.10872652897127916, 0.13243260744758706, 0.1678807608005178, -0.0992521985398629, 0.25100662706521504, -0.026297604181447148, 0.14999516244647623, 0.07244206173934892, -0.024384558398300147, 0.01196555022586467, 0.11942887320949495, 0.1449323807628619, 0.07577801903317788, -0.030528979888038498, -0.07801443177770494, -0.3940507947596945, -0.1805768114723902, -0.1748402674293405, 0.13722154186293262, -0.12311797993045073, -0.1692819550480175, 0.29010572852537364, 0.08116606379604215, 0.21446107285498064, 0.08264637359158619, 0.2104452538136039, 0.21032294627762388, -0.02661786177726109, 0.08800719002806258, 0.09021296596951794, 0.15312308633753063, 0.09278539798216588, -0.20600011879784538, 0.046050563520940516, 0.14352951630612149] |
710.5451 | Casimir energy and geometry : beyond the Proximity Force Approximation | We review the relation between Casimir effect and geometry, emphasizing
deviations from the commonly used Proximity Force Approximation (PFA). We use
to this aim the scattering formalism which is nowadays the best tool available
for accurate and reliable theory-experiment comparisons. We first recall the
main lines of this formalism when the mirrors can be considered to obey
specular reflection. We then discuss the more general case where non planar
mirrors give rise to non-specular reflection with wavevectors and field
polarisations mixed. The general formalism has already been fruitfully used for
evaluating the effect of roughness on the Casimir force as well as the lateral
Casimir force or Casimir torque appearing between corrugated surfaces. In this
short review, we focus our attention on the case of the lateral force which
should make possible in the future an experimental demonstration of the
nontrivial (i.e. beyond PFA) interplay of geometry and Casimir effect.
| quant-ph | we review the relation between casimir effect and geometry emphasizing deviations from the commonly used proximity force approximation pfa we use to this aim the scattering formalism which is nowadays the best tool available for accurate and reliable theoryexperiment comparisons we first recall the main lines of this formalism when the mirrors can be considered to obey specular reflection we then discuss the more general case where non planar mirrors give rise to nonspecular reflection with wavevectors and field polarisations mixed the general formalism has already been fruitfully used for evaluating the effect of roughness on the casimir force as well as the lateral casimir force or casimir torque appearing between corrugated surfaces in this short review we focus our attention on the case of the lateral force which should make possible in the future an experimental demonstration of the nontrivial ie beyond pfa interplay of geometry and casimir effect | [['we', 'review', 'the', 'relation', 'between', 'casimir', 'effect', 'and', 'geometry', 'emphasizing', 'deviations', 'from', 'the', 'commonly', 'used', 'proximity', 'force', 'approximation', 'pfa', 'we', 'use', 'to', 'this', 'aim', 'the', 'scattering', 'formalism', 'which', 'is', 'nowadays', 'the', 'best', 'tool', 'available', 'for', 'accurate', 'and', 'reliable', 'theoryexperiment', 'comparisons', 'we', 'first', 'recall', 'the', 'main', 'lines', 'of', 'this', 'formalism', 'when', 'the', 'mirrors', 'can', 'be', 'considered', 'to', 'obey', 'specular', 'reflection', 'we', 'then', 'discuss', 'the', 'more', 'general', 'case', 'where', 'non', 'planar', 'mirrors', 'give', 'rise', 'to', 'nonspecular', 'reflection', 'with', 'wavevectors', 'and', 'field', 'polarisations', 'mixed', 'the', 'general', 'formalism', 'has', 'already', 'been', 'fruitfully', 'used', 'for', 'evaluating', 'the', 'effect', 'of', 'roughness', 'on', 'the', 'casimir', 'force', 'as', 'well', 'as', 'the', 'lateral', 'casimir', 'force', 'or', 'casimir', 'torque', 'appearing', 'between', 'corrugated', 'surfaces', 'in', 'this', 'short', 'review', 'we', 'focus', 'our', 'attention', 'on', 'the', 'case', 'of', 'the', 'lateral', 'force', 'which', 'should', 'make', 'possible', 'in', 'the', 'future', 'an', 'experimental', 'demonstration', 'of', 'the', 'nontrivial', 'ie', 'beyond', 'pfa', 'interplay', 'of', 'geometry', 'and', 'casimir', 'effect']] | [-0.09942180257833873, 0.09775268793348611, -0.11026303461442391, 0.08971989306155592, -0.11491836834078034, -0.12455171079685291, -0.015142206939053722, 0.3940084836011132, -0.24002061347166698, -0.2882065336747716, 0.021914871733946104, -0.27099062422600884, -0.1889501450241854, 0.23989558315370232, -0.046814905481878666, 0.05075116439722478, -0.00023091992363333703, 0.020698288176208734, -0.05515595211996697, -0.18821247728541493, 0.3464389160679032, 0.06440685707028024, 0.29153541003043454, 0.13028146755260725, 0.042101304465904835, 0.07078104441054166, 0.000340964385929207, 0.05183818630253275, -0.17049199255163935, 0.102864173585549, 0.22390456318855287, -0.033277790157832596, 0.18288282487619048, -0.48340095094094676, -0.16928618245719312, 0.06905564088684817, 0.08727400911583875, 0.1623476631923889, -0.026365793726581613, -0.25902633151970805, -0.010355000441971546, -0.1764201496851941, -0.14298487849223118, -0.06468429604545235, 0.0277233588831344, -0.015162984582711942, -0.21200780272639047, 0.05158859057351947, 0.07130959598347544, 0.08215200550698985, -0.04502564671449363, -0.1149204509293971, 0.039215386854484675, 0.1627035523339873, 0.09222420907074896, 0.014442635984160006, 0.1304404662270099, -0.09920660419079165, -0.08762615421476463, 0.4062818839152654, -0.051066196414952476, -0.19862555358869335, 0.19950496051770947, -0.15903890212687352, -0.06225523085333407, 0.06596718359554264, 0.17734307354316114, 0.10746281752673288, -0.14319036616526623, 0.0714811811161538, 0.01915190875530243, 0.11939290854769448, 0.12148883115500211, 0.002465954850583027, 0.21927710538730025, 0.15266657993663102, 0.043698989727223914, 0.15871751713062016, -0.10420141919904079, -0.06744979606514487, -0.3543481419111292, -0.1528789621003428, -0.16508631244301797, 0.047951800604350864, -0.04476431689380358, -0.17795414255931974, 0.31193280870094897, 0.19072194362214456, 0.15278903347517675, 0.026981430129768946, 0.35836748357862236, 0.11520100957636412, 0.08054922174041469, 0.008279715199023485, 0.3195636994764209, 0.17305569561198353, 0.08413991509315868, -0.2302044958093514, 0.03133632193009059, 0.05225592346861958] |
710.5452 | Light Propagation in Inhomogeneous Universes. V. Gravitational Lensing
of Distant Supernovae | We use a series of ray-tracing experiments to determine the magnification
distribution of high-redshift sources by gravitational lensing. We determine
empirically the relation between magnification and redshift, for various
cosmological models. We then use this relation to estimate the effect of
lensing on the determination of the cosmological parameters from observations
of high-z supernovae. We found that, for supernovae at redshifts z<1.8 the
effect of lensing is negligible compared to the intrinsic uncertainty in the
measurements. Using mock data in the range 1.8<z<8, we show that the effect of
lensing can become significant. Hence, if a population of very-high-z
supernovae was ever discovered, it would be crucial to fully understand the
effect of lensing, before these SNe could be used to constrain cosmological
models. We show that the distance moduli m-M for an open CDM universe and a
LCDM universe are comparable at z>2. Therefore if supernovae up to these
redshifts were ever discovered, it is still the ones in the range 0.3<z<1 that
would distinguish these two models.
| astro-ph | we use a series of raytracing experiments to determine the magnification distribution of highredshift sources by gravitational lensing we determine empirically the relation between magnification and redshift for various cosmological models we then use this relation to estimate the effect of lensing on the determination of the cosmological parameters from observations of highz supernovae we found that for supernovae at redshifts z18 the effect of lensing is negligible compared to the intrinsic uncertainty in the measurements using mock data in the range 18z8 we show that the effect of lensing can become significant hence if a population of veryhighz supernovae was ever discovered it would be crucial to fully understand the effect of lensing before these sne could be used to constrain cosmological models we show that the distance moduli mm for an open cdm universe and a lcdm universe are comparable at z2 therefore if supernovae up to these redshifts were ever discovered it is still the ones in the range 03z1 that would distinguish these two models | [['we', 'use', 'a', 'series', 'of', 'raytracing', 'experiments', 'to', 'determine', 'the', 'magnification', 'distribution', 'of', 'highredshift', 'sources', 'by', 'gravitational', 'lensing', 'we', 'determine', 'empirically', 'the', 'relation', 'between', 'magnification', 'and', 'redshift', 'for', 'various', 'cosmological', 'models', 'we', 'then', 'use', 'this', 'relation', 'to', 'estimate', 'the', 'effect', 'of', 'lensing', 'on', 'the', 'determination', 'of', 'the', 'cosmological', 'parameters', 'from', 'observations', 'of', 'highz', 'supernovae', 'we', 'found', 'that', 'for', 'supernovae', 'at', 'redshifts', 'z18', 'the', 'effect', 'of', 'lensing', 'is', 'negligible', 'compared', 'to', 'the', 'intrinsic', 'uncertainty', 'in', 'the', 'measurements', 'using', 'mock', 'data', 'in', 'the', 'range', '18z8', 'we', 'show', 'that', 'the', 'effect', 'of', 'lensing', 'can', 'become', 'significant', 'hence', 'if', 'a', 'population', 'of', 'veryhighz', 'supernovae', 'was', 'ever', 'discovered', 'it', 'would', 'be', 'crucial', 'to', 'fully', 'understand', 'the', 'effect', 'of', 'lensing', 'before', 'these', 'sne', 'could', 'be', 'used', 'to', 'constrain', 'cosmological', 'models', 'we', 'show', 'that', 'the', 'distance', 'moduli', 'mm', 'for', 'an', 'open', 'cdm', 'universe', 'and', 'a', 'lcdm', 'universe', 'are', 'comparable', 'at', 'z2', 'therefore', 'if', 'supernovae', 'up', 'to', 'these', 'redshifts', 'were', 'ever', 'discovered', 'it', 'is', 'still', 'the', 'ones', 'in', 'the', 'range', '03z1', 'that', 'would', 'distinguish', 'these', 'two', 'models']] | [-0.046784689588594934, 0.0780720057191284, -0.1064910464446077, 0.17290838674884737, -0.13090245141842943, -0.06499289880885915, 0.0026475635251242244, 0.40054539684763923, -0.2298611710238421, -0.32819747928150755, 0.061514788112759275, -0.3193093819800251, -0.06510580082815753, 0.25374530599045453, 0.01905500650678449, 0.007605500282262435, 0.06546624162315229, -0.078067822894918, -0.0583486489157442, -0.338817027277553, 0.35151269124586604, 0.11500258486673325, 0.21987156975947456, -0.024215251904449422, 0.09729179968042466, -0.12564098466784432, -0.10136719499184878, 0.043308520176542735, -0.187977092070986, 0.028167523172179316, 0.22589002158034027, 0.15583807704579866, 0.21353359547203887, -0.3441447252017295, -0.2387332477841058, 0.16886667889949983, 0.18238719839820203, 0.16353461346003467, -0.05024708132468677, -0.2830886780089158, 0.12264844975598062, -0.17326498424221656, -0.10611061129752479, -0.009928181505354936, 0.011083619830806456, 0.016089421050054228, -0.21677642162299499, 0.1417327036029899, -0.03515214810125574, 0.002882661824923254, -0.07013397305244636, -0.04597115600035487, -0.020983621449499744, 0.09546146872815882, 0.047366071478491596, 0.03453713052342841, 0.09972586578126261, -0.17089222741458274, -0.028392976766151046, 0.4401257828011841, -0.07120524493706953, -0.06968167328281318, 0.16715580376679312, -0.21518707771445372, -0.183588753510155, 0.04867879475723439, 0.18070561262572596, 0.050657063901067494, -0.1702211525201976, 0.017961309870710585, 0.029821783477094715, 0.22146348065409452, 0.04240406688419868, 0.018880769454255077, 0.3125399292786857, 0.10922630391680374, 0.029807313370468196, 0.05946116182746778, -0.18397720131854398, 0.037660358579617415, -0.2752668589219719, -0.1030147515270792, -0.16122847782659852, 0.12562062984895697, -0.15419923408709127, -0.1266979616052404, 0.32227559425605984, 0.212729991806816, 0.1964488335924145, 0.0917170345950537, 0.280020259856107, 0.0612435927530918, 0.11852754934685315, 0.028136461384273427, 0.3918765475360041, 0.13812324663200332, 0.03605550014857247, -0.20552410875882082, 0.07592739382602587, -0.008266476926834373] |
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