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708.3849 | How much of the inflaton potential do we see? | We discuss the latest constraints on a Taylor-expanded scalar inflaton
potential, obtained focusing on its observable part only. This is in contrast
with other works in which an extrapolation of the potential is applied using
the slow-roll hierarchy. We find significant differences. The results discussed
here apply to a broader range of models, since no assumption about the
invisible e-folds of inflation has to be made, thereby remaining conservative.
| astro-ph gr-qc | we discuss the latest constraints on a taylorexpanded scalar inflaton potential obtained focusing on its observable part only this is in contrast with other works in which an extrapolation of the potential is applied using the slowroll hierarchy we find significant differences the results discussed here apply to a broader range of models since no assumption about the invisible efolds of inflation has to be made thereby remaining conservative | [['we', 'discuss', 'the', 'latest', 'constraints', 'on', 'a', 'taylorexpanded', 'scalar', 'inflaton', 'potential', 'obtained', 'focusing', 'on', 'its', 'observable', 'part', 'only', 'this', 'is', 'in', 'contrast', 'with', 'other', 'works', 'in', 'which', 'an', 'extrapolation', 'of', 'the', 'potential', 'is', 'applied', 'using', 'the', 'slowroll', 'hierarchy', 'we', 'find', 'significant', 'differences', 'the', 'results', 'discussed', 'here', 'apply', 'to', 'a', 'broader', 'range', 'of', 'models', 'since', 'no', 'assumption', 'about', 'the', 'invisible', 'efolds', 'of', 'inflation', 'has', 'to', 'be', 'made', 'thereby', 'remaining', 'conservative']] | [-0.11282217948009139, 0.10344054112805601, -0.08799129466701677, 0.10940553194782494, -0.10671630983605333, -0.13574750525067034, 0.028784730593147484, 0.3487094014721072, -0.19500087143556363, -0.3110601343821896, 0.12622353706873304, -0.2316387902027455, -0.09842773911583683, 0.214499582172088, -0.04773158797963887, 0.02209832162876357, 0.06644871695797243, 0.06763355064111343, -0.06275636716948255, -0.281045976958737, 0.31764357985820674, 0.08043879546238568, 0.1794605184974068, 0.06589013346524882, 0.05234588475972144, -0.027417385147587545, -0.0490206118700081, -0.012884738774079344, -0.1489540277102935, 0.10414533568984842, 0.1483192563762292, 0.11820378341455606, 0.24718939302408177, -0.4099471672552813, -0.25528927554842085, 0.17220839976157615, 0.1371791679682075, 0.13291006973789385, -0.05410303304012379, -0.2740867479663828, 0.06371580292403266, -0.15079961220592097, -0.11443237891501706, -0.07074413424276788, 0.01252670555739947, -0.04682177910581231, -0.2579180184562785, 0.06562778404306459, 0.011199709675882174, 0.013219374569429867, -0.0562186055307182, -0.13429178235431513, -0.01574785132770953, 0.0499188083804388, 0.12825202231254915, 0.03765084346472893, 0.12306219300903055, -0.158931388847017, -0.06267865488231453, 0.4002829765819985, -0.1139151969573636, -0.16439561715916448, 0.14565946797475868, -0.12704164916109564, -0.172588966395436, 0.07042847674987886, 0.12686942888936703, 0.08297540656412425, -0.12674226914869918, 0.15492178946463525, 0.0018679338804297688, 0.19684869243992845, 0.06433605598420769, 0.0030704223857922616, 0.2292376549212613, 0.155637968441242, 0.04962436183342251, 0.12058463872433978, -0.05184502919892902, -0.13411327994064146, -0.35896233390962734, -0.07620576087493396, -0.1505280767391989, 0.019446386672232464, -0.08161395140316176, -0.13729633638792185, 0.42411201213742944, 0.2103331892673547, 0.21568541037107725, 0.04672679120330545, 0.28467614171297656, 0.14078184369060656, 0.09120305184193928, 0.015761681899860287, 0.35804220286292443, 0.122166497565374, 0.1366358471332469, -0.168647276568294, 0.018772817439521135, -0.041934946298842195] |
708.385 | The nature of GRB-selected submillimeter galaxies: hot and young | We present detailed fits of the spectral energy distributions (SEDs) of four
submillimeter (submm) galaxies selected by the presence of a gamma-ray burst
(GRB) event (GRBs 980703, 000210, 000418 and 010222). These faint ~3 mJy submm
emitters at redshift ~1 are characterized by an unusual combination of long-
and short-wavelength properties, namely enhanced submm and/or radio emission
combined with optical faintness and blue colors. We exclude an active galactic
nucleus as the source of long-wavelength emission. From the SED fits we
conclude that the four galaxies are young (ages <2 Gyr), highly starforming
(star formation rates ~150 MSun/yr), low-mass (stellar masses ~10^10 MSun) and
dusty (dust masses ~3x10^8 MSun). Their high dust temperatures (Td>45 K)
indicate that GRB host galaxies are hotter, younger, and less massive
counterparts to submm-selected galaxies detected so far. Future facilities like
Herschel, JCMT/SCUBA-2 and ALMA will test this hypothesis enabling measurement
of dust temperatures of fainter GRB-selected galaxies.
| astro-ph | we present detailed fits of the spectral energy distributions seds of four submillimeter submm galaxies selected by the presence of a gammaray burst grb event grbs 980703 000210 000418 and 010222 these faint 3 mjy submm emitters at redshift 1 are characterized by an unusual combination of long and shortwavelength properties namely enhanced submm andor radio emission combined with optical faintness and blue colors we exclude an active galactic nucleus as the source of longwavelength emission from the sed fits we conclude that the four galaxies are young ages 2 gyr highly starforming star formation rates 150 msunyr lowmass stellar masses 1010 msun and dusty dust masses 3x108 msun their high dust temperatures td45 k indicate that grb host galaxies are hotter younger and less massive counterparts to submmselected galaxies detected so far future facilities like herschel jcmtscuba2 and alma will test this hypothesis enabling measurement of dust temperatures of fainter grbselected galaxies | [['we', 'present', 'detailed', 'fits', 'of', 'the', 'spectral', 'energy', 'distributions', 'seds', 'of', 'four', 'submillimeter', 'submm', 'galaxies', 'selected', 'by', 'the', 'presence', 'of', 'a', 'gammaray', 'burst', 'grb', 'event', 'grbs', '980703', '000210', '000418', 'and', '010222', 'these', 'faint', '3', 'mjy', 'submm', 'emitters', 'at', 'redshift', '1', 'are', 'characterized', 'by', 'an', 'unusual', 'combination', 'of', 'long', 'and', 'shortwavelength', 'properties', 'namely', 'enhanced', 'submm', 'andor', 'radio', 'emission', 'combined', 'with', 'optical', 'faintness', 'and', 'blue', 'colors', 'we', 'exclude', 'an', 'active', 'galactic', 'nucleus', 'as', 'the', 'source', 'of', 'longwavelength', 'emission', 'from', 'the', 'sed', 'fits', 'we', 'conclude', 'that', 'the', 'four', 'galaxies', 'are', 'young', 'ages', '2', 'gyr', 'highly', 'starforming', 'star', 'formation', 'rates', '150', 'msunyr', 'lowmass', 'stellar', 'masses', '1010', 'msun', 'and', 'dusty', 'dust', 'masses', '3x108', 'msun', 'their', 'high', 'dust', 'temperatures', 'td45', 'k', 'indicate', 'that', 'grb', 'host', 'galaxies', 'are', 'hotter', 'younger', 'and', 'less', 'massive', 'counterparts', 'to', 'submmselected', 'galaxies', 'detected', 'so', 'far', 'future', 'facilities', 'like', 'herschel', 'jcmtscuba2', 'and', 'alma', 'will', 'test', 'this', 'hypothesis', 'enabling', 'measurement', 'of', 'dust', 'temperatures', 'of', 'fainter', 'grbselected', 'galaxies']] | [-0.01554445182597758, 0.16978598042373508, -0.016047050676845163, 0.1859134950309634, -0.12075743307390355, -0.07271088256472907, 0.03821664198073527, 0.5590487128826759, -0.016627492787106738, -0.34723907812430665, 0.010984062954312382, -0.32803090366948123, 0.08714649714036099, 0.18068589726755926, -0.01553995855189613, -0.06424781574947847, 0.03957583919778121, -0.2565605238747678, -0.0005088370849049977, -0.2843009995555641, 0.2466363853078015, 0.117853656451261, 0.10364372978435632, -0.06756774567306428, 0.041362859317971186, -0.17926364146721926, -0.11984713665450251, -0.13581484136177807, -0.18740084819795969, -0.03055197024249182, 0.2761384760436682, 0.13390275704310528, 0.18924530540494286, -0.3143146319055794, -0.21982481754970867, 0.08546192093215735, 0.22862784273225492, -0.04610246288630994, -0.07233821590344687, -0.2890883975505015, 0.06550644140803126, -0.20477092198854843, -0.22331301386881347, 0.14983868777801265, 0.031129349997600184, 0.049103264484110454, -0.1639649906382273, 0.18178210047378962, -0.028319835285070222, 0.140497113793891, -0.1504104609511768, -0.1205041899410576, -0.1120324603756828, 0.007043265128532881, -0.007217277348695311, 0.0961388735469147, 0.26010658827437616, -0.15514153752025736, -0.00949163425602759, 0.39029839031231767, -0.05140416886285872, 0.14773800976525078, 0.2770124700349071, -0.245059050520919, -0.24019606831477375, 0.20987816269367637, 0.11113188542974557, 0.14079194123832053, -0.1961393937752243, -0.07465869245976703, 0.027248324653664172, 0.26669634928285385, 0.0368477194446651, 0.17585947208680114, 0.44079367209546616, 0.08241077210285411, 0.0004656299430605592, 0.07448374282565609, -0.31744686388934884, 0.06107880592975297, -0.20506657737614478, -0.03398634802275615, -0.13366930119058007, 0.20043825795596454, -0.20251014695093436, -0.05257265657704595, 0.2941034610740939, 0.09995678481214143, 0.20013136000970735, 0.16148008432220792, 0.3280010031881613, 0.03402790890325058, 0.13844111901769623, 0.1534209625212636, 0.33564199152593777, 0.16642363218202053, 0.05716876358731298, -0.19815652120075133, 0.02898481588144571, -0.05543954565578344] |
708.3851 | Multiplicity Among Young Brown Dwarfs and Very Low Mass Stars | Characterizing multiplicity in the very low mass (VLM) domain is a topic of
much current interest and fundamental importance. Here we report on a near-IR
AO imaging survey of 31 young brown dwarfs and VLM stars, 28 of which are in
Chamaeleon I, using the ESO VLT. Our survey is sensitive enough to detect equal
mass binaries down to separations of 0.04-0.07" (6-10 AU at 160 pc) and,
typically, companions with mass ratios as low as 0.2 outside of 0.2" (~30 AU).
We resolve the suspected 0.16" (~26 AU) binary Cha_Halpha 2 and present two new
binaries, Hn 13 and CHXR 15, with separations of 0.13" (~20 AU) and 0.30" (~50
AU); the latter is one of the widest VLM systems discovered to date. We do not
find companions around the majority of our targets, giving a binary frequency
of 11% [+9,-6], thus confirming the trend for a lower binary frequency with
decreasing mass. By combining our work with previous surveys, we arrive at the
largest sample of young VLMOs (72) with high angular resolution imaging to
date. Its multiplicity fraction is in statistical agreement with that for VLMOs
in the field. In addition we note that many field stellar binaries with lower
binding energies and/or wider cross sections have survived dynamical evolution
and that statistical models suggest tidal disruption by passing stars is
unlikely to affect the binary properties of our systems. Thus, we argue that
there is no significant evolution of multiplicity with age among brown dwarfs
and VLM stars in OB and T associations between a few Myr to several Gyr.
Instead, the observations to date suggest that VLM objects are either less
likely to be born in fragile multiple systems than solar mass stars or such
systems are disrupted very early.
| astro-ph | characterizing multiplicity in the very low mass vlm domain is a topic of much current interest and fundamental importance here we report on a nearir ao imaging survey of 31 young brown dwarfs and vlm stars 28 of which are in chamaeleon i using the eso vlt our survey is sensitive enough to detect equal mass binaries down to separations of 004007 610 au at 160 pc and typically companions with mass ratios as low as 02 outside of 02 30 au we resolve the suspected 016 26 au binary cha_halpha 2 and present two new binaries hn 13 and chxr 15 with separations of 013 20 au and 030 50 au the latter is one of the widest vlm systems discovered to date we do not find companions around the majority of our targets giving a binary frequency of 11 96 thus confirming the trend for a lower binary frequency with decreasing mass by combining our work with previous surveys we arrive at the largest sample of young vlmos 72 with high angular resolution imaging to date its multiplicity fraction is in statistical agreement with that for vlmos in the field in addition we note that many field stellar binaries with lower binding energies andor wider cross sections have survived dynamical evolution and that statistical models suggest tidal disruption by passing stars is unlikely to affect the binary properties of our systems thus we argue that there is no significant evolution of multiplicity with age among brown dwarfs and vlm stars in ob and t associations between a few myr to several gyr instead the observations to date suggest that vlm objects are either less likely to be born in fragile multiple systems than solar mass stars or such systems are disrupted very early | [['characterizing', 'multiplicity', 'in', 'the', 'very', 'low', 'mass', 'vlm', 'domain', 'is', 'a', 'topic', 'of', 'much', 'current', 'interest', 'and', 'fundamental', 'importance', 'here', 'we', 'report', 'on', 'a', 'nearir', 'ao', 'imaging', 'survey', 'of', '31', 'young', 'brown', 'dwarfs', 'and', 'vlm', 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708.3852 | Probing singularities in quantum cosmology with curvature scalars | We provide further evidence that the canonical quantization of cosmological
models eliminates the classical Big Bang singularity, using the {\it
DeBroglie-Bohm} interpretation of quantum mechanics. The usual criterion for
absence of the Big Bang singularity in Friedmann-Robertson-Walker quantum
cosmological models is the non-vanishing of the expectation value of the scale
factor. We compute the `local expectation value' of the Ricci and Kretschmann
scalars, for some quantum FRW models. We show that they are finite for all
time. Since these scalars are elements of general scalar polynomials in the
metric and the Riemann tensor, this result indicates that, for the quantum
models treated here, the `local expectation value' of these general scalar
polynomials should be finite everywhere. Therefore, we have further evidence
that the quantization of the models treated here eliminates the classical Big
Bang singularity. PACS: 04.40.Nr, 04.60.Ds, 98.80.Qc.
| gr-qc | we provide further evidence that the canonical quantization of cosmological models eliminates the classical big bang singularity using the it debrogliebohm interpretation of quantum mechanics the usual criterion for absence of the big bang singularity in friedmannrobertsonwalker quantum cosmological models is the nonvanishing of the expectation value of the scale factor we compute the local expectation value of the ricci and kretschmann scalars for some quantum frw models we show that they are finite for all time since these scalars are elements of general scalar polynomials in the metric and the riemann tensor this result indicates that for the quantum models treated here the local expectation value of these general scalar polynomials should be finite everywhere therefore we have further evidence that the quantization of the models treated here eliminates the classical big bang singularity pacs 0440nr 0460ds 9880qc | [['we', 'provide', 'further', 'evidence', 'that', 'the', 'canonical', 'quantization', 'of', 'cosmological', 'models', 'eliminates', 'the', 'classical', 'big', 'bang', 'singularity', 'using', 'the', 'it', 'debrogliebohm', 'interpretation', 'of', 'quantum', 'mechanics', 'the', 'usual', 'criterion', 'for', 'absence', 'of', 'the', 'big', 'bang', 'singularity', 'in', 'friedmannrobertsonwalker', 'quantum', 'cosmological', 'models', 'is', 'the', 'nonvanishing', 'of', 'the', 'expectation', 'value', 'of', 'the', 'scale', 'factor', 'we', 'compute', 'the', 'local', 'expectation', 'value', 'of', 'the', 'ricci', 'and', 'kretschmann', 'scalars', 'for', 'some', 'quantum', 'frw', 'models', 'we', 'show', 'that', 'they', 'are', 'finite', 'for', 'all', 'time', 'since', 'these', 'scalars', 'are', 'elements', 'of', 'general', 'scalar', 'polynomials', 'in', 'the', 'metric', 'and', 'the', 'riemann', 'tensor', 'this', 'result', 'indicates', 'that', 'for', 'the', 'quantum', 'models', 'treated', 'here', 'the', 'local', 'expectation', 'value', 'of', 'these', 'general', 'scalar', 'polynomials', 'should', 'be', 'finite', 'everywhere', 'therefore', 'we', 'have', 'further', 'evidence', 'that', 'the', 'quantization', 'of', 'the', 'models', 'treated', 'here', 'eliminates', 'the', 'classical', 'big', 'bang', 'singularity', 'pacs', '0440nr', '0460ds', '9880qc']] | [-0.13431469436995136, 0.13950567425276592, -0.126004788925296, 0.12184107830912314, -0.07217590148930493, -0.16026247987311387, -0.04738686769954203, 0.295126643298906, -0.2554928234680761, -0.21596612758003175, 0.07657035375150907, -0.26308044870657954, -0.1288032264017281, 0.13942776976567556, -0.03824584894840989, 0.07449809616082348, 0.04886030259555863, 0.05963788169752019, -0.09142541872450452, -0.2947774916640757, 0.40561176936984444, 0.06878115325440269, 0.22094891772961572, 0.053854077653822434, 0.09066388832728561, -0.056393284799175006, -0.0076483780148384325, 0.03253608687287744, -0.1533208203560635, 0.059762833879657966, 0.20948788676471797, 0.16401981545256122, 0.24932976240319582, -0.4370815920342198, -0.2526202098781462, 0.1884433276067926, 0.1308634050998508, 0.15880338513627923, -0.035074789854287004, -0.26879284596618486, 0.1299867264305623, -0.13253109592444481, -0.14758576021952596, -0.09083383850862875, -0.028098012098138603, -0.09377312278785907, -0.21037590874852063, 0.13330437022138059, 0.04322091472225592, 0.022080634289202008, -0.0876890065299128, -0.10609620152322083, 0.032968179069404656, 0.050369952925179595, 0.07188753698360148, -0.01783347656729508, 0.10574745753889575, -0.154535769346266, -0.10131219270303571, 0.37424404623315616, -0.09888021378120516, -0.18536442480228074, 0.08425223554128453, -0.1351197413442766, -0.1388497695340501, 0.031815769575426686, 0.057169890131369944, 0.1235120976343751, -0.08917041537386146, 0.1982015396172167, -0.009482206194661558, 0.10778347982148476, 0.09211390575065333, 0.03784433533934027, 0.25529630958130034, 0.03607171464896323, 0.013704072788480999, 0.04851909466892453, -0.031048351070186234, -0.20137298545074267, -0.43032468577353833, -0.23597665736109347, -0.16379348906048108, 0.12896171229658648, -0.20196551478939534, -0.22617264983572943, 0.35283920627689974, 0.16139507466526565, 0.18930578547545285, 0.08596966005450882, 0.2759294161600444, 0.1410455592806958, 0.05828481018269325, 0.07156416135908597, 0.28387666067475736, 0.13557920585085145, 0.10275729582644999, -0.1966525486615651, -0.006758508159477702, 0.08847444237428992] |
708.3853 | WSRT Ultra-Deep Neutral Hydrogen Imaging of Galaxy Clusters at z=0.2, a
Pilot Survey of Abell 963 and Abell 2192 | A pilot study with the powerful new backend of the Westerbork Synthesis Radio
Telescope (WSRT) of two galaxy clusters at z=0.2 has revealed neutral hydrogen
emission from 42 galaxies. The WSRT probes a total combined volume of 3.4x10^4
Mpc^3 at resolutions of 54x86 kpc^2 and 19.7 km/s, surveying both clusters and
the large scale structure in which they are embedded. In Abell 963, a
dynamically relaxed, lensing Butcher-Oemler cluster with a high blue fraction,
most of the gas-rich galaxies are located between 1 and 3 Mpc in projection,
northeast from the cluster core. Their velocities are slightly redshifted with
respect to the cluster, and this is likely a background group. None of the blue
galaxies in the core of Abell 963 are detected in HI, although they have
similar colors and luminosities as the HI detected galaxies in the cluster
outskirts and field. Abell 2192 is less massive and more diffuse. Here, the
gas-rich galaxies are more uniformly distributed. The detected HI masses range
from 5x10^9 to 4x10^10 Msun. Some galaxies are spatially resolved, providing
rudimentary rotation curves useful for detailed kinematic studies of galaxies
in various environments. This is a pilot for ultra-deep integrations down to HI
masses of 8x10^8 Msun, providing a complete survey of the gas content of
galaxies at z=0.2, probing environments ranging from cluster cores to voids.
| astro-ph | a pilot study with the powerful new backend of the westerbork synthesis radio telescope wsrt of two galaxy clusters at z02 has revealed neutral hydrogen emission from 42 galaxies the wsrt probes a total combined volume of 34x104 mpc3 at resolutions of 54x86 kpc2 and 197 kms surveying both clusters and the large scale structure in which they are embedded in abell 963 a dynamically relaxed lensing butcheroemler cluster with a high blue fraction most of the gasrich galaxies are located between 1 and 3 mpc in projection northeast from the cluster core their velocities are slightly redshifted with respect to the cluster and this is likely a background group none of the blue galaxies in the core of abell 963 are detected in hi although they have similar colors and luminosities as the hi detected galaxies in the cluster outskirts and field abell 2192 is less massive and more diffuse here the gasrich galaxies are more uniformly distributed the detected hi masses range from 5x109 to 4x1010 msun some galaxies are spatially resolved providing rudimentary rotation curves useful for detailed kinematic studies of galaxies in various environments this is a pilot for ultradeep integrations down to hi masses of 8x108 msun providing a complete survey of the gas content of galaxies at z02 probing environments ranging from cluster cores to voids | [['a', 'pilot', 'study', 'with', 'the', 'powerful', 'new', 'backend', 'of', 'the', 'westerbork', 'synthesis', 'radio', 'telescope', 'wsrt', 'of', 'two', 'galaxy', 'clusters', 'at', 'z02', 'has', 'revealed', 'neutral', 'hydrogen', 'emission', 'from', '42', 'galaxies', 'the', 'wsrt', 'probes', 'a', 'total', 'combined', 'volume', 'of', '34x104', 'mpc3', 'at', 'resolutions', 'of', '54x86', 'kpc2', 'and', '197', 'kms', 'surveying', 'both', 'clusters', 'and', 'the', 'large', 'scale', 'structure', 'in', 'which', 'they', 'are', 'embedded', 'in', 'abell', '963', 'a', 'dynamically', 'relaxed', 'lensing', 'butcheroemler', 'cluster', 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708.3854 | Conformal operators on forms and detour complexes on Einstein manifolds | For even dimensional conformal manifolds several new conformally invariant
objects were found recently: invariant differential complexes related to, but
distinct from, the de Rham complex (these are elliptic in the case of
Riemannian signature); the cohomology spaces of these; conformally stable form
spaces that we may view as spaces of conformal harmonics; operators that
generalise Branson's Q-curvature; global pairings between differential form
bundles that descend to cohomology pairings. Here we show that these operators,
spaces, and the theory underlying them, simplify significantly on conformally
Einstein manifolds. We give explicit formulae for all the operators concerned.
The null spaces for these, the conformal harmonics, and the cohomology spaces
are expressed explicitly in terms of direct sums of subspaces of eigenspaces of
the form Laplacian. For the case of non-Ricci flat spaces this applies in all
signatures and without topological restrictions. In the case of Riemannian
signature and compact manifolds, this leads to new results on the global
invariant pairings, including for the integral of Q-curvature against the null
space of the dimensional order conformal Laplacian of Graham et al..
| math.DG math-ph math.MP | for even dimensional conformal manifolds several new conformally invariant objects were found recently invariant differential complexes related to but distinct from the de rham complex these are elliptic in the case of riemannian signature the cohomology spaces of these conformally stable form spaces that we may view as spaces of conformal harmonics operators that generalise bransons qcurvature global pairings between differential form bundles that descend to cohomology pairings here we show that these operators spaces and the theory underlying them simplify significantly on conformally einstein manifolds we give explicit formulae for all the operators concerned the null spaces for these the conformal harmonics and the cohomology spaces are expressed explicitly in terms of direct sums of subspaces of eigenspaces of the form laplacian for the case of nonricci flat spaces this applies in all signatures and without topological restrictions in the case of riemannian signature and compact manifolds this leads to new results on the global invariant pairings including for the integral of qcurvature against the null space of the dimensional order conformal laplacian of graham et al | [['for', 'even', 'dimensional', 'conformal', 'manifolds', 'several', 'new', 'conformally', 'invariant', 'objects', 'were', 'found', 'recently', 'invariant', 'differential', 'complexes', 'related', 'to', 'but', 'distinct', 'from', 'the', 'de', 'rham', 'complex', 'these', 'are', 'elliptic', 'in', 'the', 'case', 'of', 'riemannian', 'signature', 'the', 'cohomology', 'spaces', 'of', 'these', 'conformally', 'stable', 'form', 'spaces', 'that', 'we', 'may', 'view', 'as', 'spaces', 'of', 'conformal', 'harmonics', 'operators', 'that', 'generalise', 'bransons', 'qcurvature', 'global', 'pairings', 'between', 'differential', 'form', 'bundles', 'that', 'descend', 'to', 'cohomology', 'pairings', 'here', 'we', 'show', 'that', 'these', 'operators', 'spaces', 'and', 'the', 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708.3855 | Ising Dynamics with Damping | We show for the Ising model that is possible construct a discrete time
stochastic model analogous to the Langevin equation that incorporates an
arbitrary amount of damping. It is shown to give the correct equilibrium
statistics and is then used to investigate nonequilibrium phenomena, in
particular, magnetic avalanches. The value of damping can greatly alter the
shape of hysteresis loops, and for small damping and high disorder, the
morphology of large avalanches can be drastically effected. Small damping also
alters the size distribution of avalanches at criticality.
| cond-mat.mtrl-sci cond-mat.stat-mech | we show for the ising model that is possible construct a discrete time stochastic model analogous to the langevin equation that incorporates an arbitrary amount of damping it is shown to give the correct equilibrium statistics and is then used to investigate nonequilibrium phenomena in particular magnetic avalanches the value of damping can greatly alter the shape of hysteresis loops and for small damping and high disorder the morphology of large avalanches can be drastically effected small damping also alters the size distribution of avalanches at criticality | [['we', 'show', 'for', 'the', 'ising', 'model', 'that', 'is', 'possible', 'construct', 'a', 'discrete', 'time', 'stochastic', 'model', 'analogous', 'to', 'the', 'langevin', 'equation', 'that', 'incorporates', 'an', 'arbitrary', 'amount', 'of', 'damping', 'it', 'is', 'shown', 'to', 'give', 'the', 'correct', 'equilibrium', 'statistics', 'and', 'is', 'then', 'used', 'to', 'investigate', 'nonequilibrium', 'phenomena', 'in', 'particular', 'magnetic', 'avalanches', 'the', 'value', 'of', 'damping', 'can', 'greatly', 'alter', 'the', 'shape', 'of', 'hysteresis', 'loops', 'and', 'for', 'small', 'damping', 'and', 'high', 'disorder', 'the', 'morphology', 'of', 'large', 'avalanches', 'can', 'be', 'drastically', 'effected', 'small', 'damping', 'also', 'alters', 'the', 'size', 'distribution', 'of', 'avalanches', 'at', 'criticality']] | [-0.13011831867149978, 0.2367989186389203, -0.09337267668746498, 0.10186435604312767, -0.061889521991726995, -0.1307841626359899, -0.0060033624049747126, 0.3199686244526214, -0.30251001609467915, -0.30359694345629423, 0.04250535603489555, -0.23072068004644122, -0.1715136880708066, 0.1800875183698004, -0.03716342636095039, 0.04982507825647106, 0.02037613134531454, 0.008182484399655769, -0.01662477898751332, -0.20827509560247606, 0.2641022653458105, 0.09240581621362388, 0.31757614697361813, 0.07719235392501471, 0.08803556316221754, -0.03533922934947514, 0.0415927751268121, 0.0705247252828966, -0.14789916292965632, -0.013317882321539453, 0.160516783568323, 0.020160405232902915, 0.21005614813584125, -0.45340529214804887, -0.24611213368138876, 0.10839322222204044, 0.16877193902264584, 0.18364628650590606, 0.014580795969599965, -0.22928317325007727, 0.07572294816096452, -0.1522834122946336, -0.18129481623570123, -0.09464297265927682, 0.05497189178720288, 0.059745422264710926, -0.3042262817208452, 0.111815413585583, 0.10043529680148623, 0.024872284907119714, -0.06519174860019622, -0.05525822974955556, -0.05498512591845516, 0.1360815847988358, 0.041459561775213684, -0.0050697893054149614, 0.17825509377102228, -0.15057239694328145, -0.08096367977666614, 0.34499666047678595, -0.061924765368217026, -0.20131735582889496, 0.1648388222909008, -0.1921678601881896, -0.11092063155019892, 0.18600108548356542, 0.19645966942844934, 0.053110164879211066, -0.11898746218361046, 0.07495470357933028, 0.017964184391258776, 0.1853426643700778, 0.016997486636599248, 0.0018644841901701071, 0.16893470203825112, 0.17642580626074802, 0.03351570551829605, 0.2121966047568418, -0.09136207945157784, -0.12092332389465286, -0.29302509274633454, -0.11028237529527182, -0.20031588891756602, 0.07514010144975679, -0.1242953858376098, -0.20993036039316781, 0.3855667604968466, 0.21662578341583238, 0.21152996727875595, 0.055526439218257354, 0.212745006185496, 0.18579858702061505, 0.06053295084971121, 0.07026637556438131, 0.22234875462874343, 0.1257644336745571, 0.10213695982492518, -0.31526899362389726, 0.14872233903613583, 0.02575602038795578] |
708.3856 | Young star clusters in M31 | In our study of M31's globular cluster system with MMT/Hectospec, we have
obtained high-quality spectra of 85 clusters with ages less than 1 Gyr. With
the exception of Hubble V, the young cluster in NGC 205, we find that these
young clusters have kinematics and spatial distribution consistent with
membership in M31's young disk. Preliminary estimates of the cluster masses and
structural parameters, using spectroscopically derived ages and HST imaging,
confirms earlier suggestions that M31 has clusters similar to the LMC's young
populous clusters.
| astro-ph | in our study of m31s globular cluster system with mmthectospec we have obtained highquality spectra of 85 clusters with ages less than 1 gyr with the exception of hubble v the young cluster in ngc 205 we find that these young clusters have kinematics and spatial distribution consistent with membership in m31s young disk preliminary estimates of the cluster masses and structural parameters using spectroscopically derived ages and hst imaging confirms earlier suggestions that m31 has clusters similar to the lmcs young populous clusters | [['in', 'our', 'study', 'of', 'm31s', 'globular', 'cluster', 'system', 'with', 'mmthectospec', 'we', 'have', 'obtained', 'highquality', 'spectra', 'of', '85', 'clusters', 'with', 'ages', 'less', 'than', '1', 'gyr', 'with', 'the', 'exception', 'of', 'hubble', 'v', 'the', 'young', 'cluster', 'in', 'ngc', '205', 'we', 'find', 'that', 'these', 'young', 'clusters', 'have', 'kinematics', 'and', 'spatial', 'distribution', 'consistent', 'with', 'membership', 'in', 'm31s', 'young', 'disk', 'preliminary', 'estimates', 'of', 'the', 'cluster', 'masses', 'and', 'structural', 'parameters', 'using', 'spectroscopically', 'derived', 'ages', 'and', 'hst', 'imaging', 'confirms', 'earlier', 'suggestions', 'that', 'm31', 'has', 'clusters', 'similar', 'to', 'the', 'lmcs', 'young', 'populous', 'clusters']] | [-0.00040045966549466055, 0.06969548911521477, -0.12390417856208626, 0.07036830056451782, -0.11079681652509385, -0.02038628883504619, 0.07745553950025212, 0.5131016710684413, -0.11179366783471778, -0.42179541755467653, -0.00808133212766344, -0.26764768317696597, 0.004380866885185242, 0.209200923020641, -0.04754993285141176, -0.06016549325778171, 0.18004741897484997, -0.0680004411038854, -0.02822809625095466, -0.3760513782589918, 0.3137247745901169, 0.014755696995139476, 0.06780936705902041, -0.16796789996858155, 0.0061837368245635715, -0.09834706791887238, -0.1050729902705089, -0.018037795521585003, -0.23311632126656368, 0.09714543418348989, 0.1949217212580455, 0.1342891439327061, 0.21551441268197127, -0.28499078819350826, -0.18261697710979552, 0.026002379771809848, 0.30229647067331133, 0.001906468374987266, -0.10659732518806345, -0.348455722959313, 0.13307311042167602, -0.18474498334606843, -0.24784911005935145, 0.12122166719997213, 0.0926533006575136, 0.05368787163613541, -0.1600089552507381, 0.2606602141472866, -0.06792217084910676, 0.15511688869169338, -0.21299691920700883, -0.2259987483751805, -0.03018534992588684, 0.12473897456878885, -0.05330517641933901, 0.09266664149029002, 0.14662012391878912, -0.12933422032455427, -0.026634228687422972, 0.36300980310798403, -0.015025889074985614, 0.07659032457463798, 0.303616249288011, -0.2640317977694351, -0.2507784972847384, 0.045602586616518066, 0.07745767160806627, 0.10590346092136488, -0.23650196090429312, 0.021328922774825645, -0.08766908204692993, 0.24510493821331433, 0.054002458562276194, 0.05504824248852119, 0.27601190804437337, 0.09063759886304892, 0.02870370677694501, 0.09823849804455503, -0.2595576413053398, -0.05474648253238272, -0.14333556286458457, -0.06764371560088225, -0.06881078728474677, 0.03985960860293181, -0.22366874046860002, -0.12149706313253514, 0.269644358040144, 0.09294514014341292, 0.22907007545776045, 0.07599284825292194, 0.21409228053692328, 0.017383205112613116, 0.1948701905618821, 0.13642703800550884, 0.2646310680235426, 0.24288321525922843, 0.0460888696834445, -0.23619314742141537, 0.06791573620977856, -0.04364146940532096] |
708.3857 | The TeV Energy Spectrum of Mrk 421 Measured in A High Flaring State | The BL Lac object (blazar) Mrk 421 was observed during its outburst in April
2004 with the Whipple 10 m telescope for a total of about 24.5 hours. The
measured gamma-ray rate varied substantially over the range from 4 to 10
gamma's/min and eventually exceeded the steady gamma-ray rate of the Crab
Nebula (standard candle) by a factor of 3. The overall significance of the
gamma-ray signal exceeded 70 sigma and the total number of excess events was
more than 10,000. The signal light curve does not show any particular
variability pattern. This unique Mrk 421 outburst enabled the measurement of a
high quality spectrum of very high-energy gamma rays in a high state of
emission. This spectrum is a power-law and it extends beyond 10 TeV.
| astro-ph | the bl lac object blazar mrk 421 was observed during its outburst in april 2004 with the whipple 10 m telescope for a total of about 245 hours the measured gammaray rate varied substantially over the range from 4 to 10 gammasmin and eventually exceeded the steady gammaray rate of the crab nebula standard candle by a factor of 3 the overall significance of the gammaray signal exceeded 70 sigma and the total number of excess events was more than 10000 the signal light curve does not show any particular variability pattern this unique mrk 421 outburst enabled the measurement of a high quality spectrum of very highenergy gamma rays in a high state of emission this spectrum is a powerlaw and it extends beyond 10 tev | [['the', 'bl', 'lac', 'object', 'blazar', 'mrk', '421', 'was', 'observed', 'during', 'its', 'outburst', 'in', 'april', '2004', 'with', 'the', 'whipple', '10', 'm', 'telescope', 'for', 'a', 'total', 'of', 'about', '245', 'hours', 'the', 'measured', 'gammaray', 'rate', 'varied', 'substantially', 'over', 'the', 'range', 'from', '4', 'to', '10', 'gammasmin', 'and', 'eventually', 'exceeded', 'the', 'steady', 'gammaray', 'rate', 'of', 'the', 'crab', 'nebula', 'standard', 'candle', 'by', 'a', 'factor', 'of', '3', 'the', 'overall', 'significance', 'of', 'the', 'gammaray', 'signal', 'exceeded', '70', 'sigma', 'and', 'the', 'total', 'number', 'of', 'excess', 'events', 'was', 'more', 'than', '10000', 'the', 'signal', 'light', 'curve', 'does', 'not', 'show', 'any', 'particular', 'variability', 'pattern', 'this', 'unique', 'mrk', '421', 'outburst', 'enabled', 'the', 'measurement', 'of', 'a', 'high', 'quality', 'spectrum', 'of', 'very', 'highenergy', 'gamma', 'rays', 'in', 'a', 'high', 'state', 'of', 'emission', 'this', 'spectrum', 'is', 'a', 'powerlaw', 'and', 'it', 'extends', 'beyond', '10', 'tev']] | [-0.05237539621376772, 0.14103687106676044, -0.04004030010204703, 0.11402657901173428, -0.08061455229171625, -0.09947325304032319, 0.07212911061351261, 0.4174013952650721, -0.17131146863250743, -0.44580571383093703, 0.060145542244999746, -0.3069152203868956, 0.021914414573638213, 0.25558882897039725, -0.04517740907797974, -0.0028755654371158765, 0.11180374778748031, -0.030847780147774354, -0.021019991457698835, -0.23253691512610883, 0.16457823612209824, 0.16372456567154992, 0.23522669000140878, 0.016053989378084974, 0.1249640962360279, -0.032599505269899964, -0.03461638778089619, -0.11317165165636985, -0.04934628835199253, 0.046068930274082556, 0.195511474527256, 0.13226255878347845, 0.18798989341372535, -0.2776658697689455, -0.24239722028095645, 0.1467902945458061, 0.12586766239040853, -0.07324675600680094, 0.04039168797674984, -0.28493034510341075, 0.08443927098923022, -0.2344505006358737, -0.15757525125740185, 0.1586393595392269, 0.09423890358783187, -0.017292232703535804, -0.17013068873036122, 0.11652056277093906, 0.021809831562143424, 0.1107789335960877, -0.12553782350963927, -0.07119112907879291, -0.026617900864775515, 0.04125029144306031, 0.07745473494610956, 0.10714451897527194, 0.16503818622893757, -0.1405128128050516, -0.10565904266984454, 0.3772039749023933, -0.08602294893364795, 0.05072789451491738, 0.1582296758609277, -0.2772958890557112, -0.18218959316921732, 0.2884802106280057, 0.1362093373142656, 0.08690945257521457, -0.14781152216776733, 0.036522775022257564, -0.009606592571510681, 0.2898862465092587, 0.06263935516056206, 0.013052434527448245, 0.2083737850632696, 0.1490127726888565, 0.029944771937730295, 0.10701746586617822, -0.2893556173048204, 0.048936832060534806, -0.29906837727748864, -0.06615631337765426, -0.1551140304839623, 0.17543757587520217, -0.13142770592325148, -0.050367308152277794, 0.48096907626660096, 0.043806635301619296, 0.227890614641919, 0.02902480222225662, 0.22866235806473664, 0.09520275612908696, 0.045323133413192065, 0.1308977483912179, 0.39298823870541083, 0.08806089296500894, 0.17771808091562152, -0.1613405424868688, 0.05929213768196485, -0.05132502390973506] |
708.3858 | A Deep Chandra Observation of Kepler's Supernova Remnant: A Type Ia
Event with Circumstellar Interaction | We present initial results of a 750 ks Chandra observation of the remnant of
Kepler's supernova of AD 1604. The strength and prominence of iron emission,
together with the absence of O-rich ejecta, demonstrate that Kepler resulted
from a thermonuclear supernova, even though evidence for circumstellar
interaction is also strong. We have analyzed spectra of over 100 small regions,
and find that they fall into three classes. (1) The vast majority show Fe L
emission between 0.7 and 1 keV and Si and S K alpha emission; we associate
these with shocked ejecta. A few of these are found at or beyond the mean blast
wave radius. (2) A very few regions show solar O/Fe abundance rations; these we
associate with shocked circumstellar medium (CSM). Otherwise O is scarce. (3) A
few regions are dominated by continuum, probably synchrotron radiation.
Finally, we find no central point source, with a limit about 100 times fainter
than the central object in Cas A. The evidence that the blast wave is
interacting with CSM may indicate a Ia explosion in a more massive progenitor.
| astro-ph | we present initial results of a 750 ks chandra observation of the remnant of keplers supernova of ad 1604 the strength and prominence of iron emission together with the absence of orich ejecta demonstrate that kepler resulted from a thermonuclear supernova even though evidence for circumstellar interaction is also strong we have analyzed spectra of over 100 small regions and find that they fall into three classes 1 the vast majority show fe l emission between 07 and 1 kev and si and s k alpha emission we associate these with shocked ejecta a few of these are found at or beyond the mean blast wave radius 2 a very few regions show solar ofe abundance rations these we associate with shocked circumstellar medium csm otherwise o is scarce 3 a few regions are dominated by continuum probably synchrotron radiation finally we find no central point source with a limit about 100 times fainter than the central object in cas a the evidence that the blast wave is interacting with csm may indicate a ia explosion in a more massive progenitor | [['we', 'present', 'initial', 'results', 'of', 'a', '750', 'ks', 'chandra', 'observation', 'of', 'the', 'remnant', 'of', 'keplers', 'supernova', 'of', 'ad', '1604', 'the', 'strength', 'and', 'prominence', 'of', 'iron', 'emission', 'together', 'with', 'the', 'absence', 'of', 'orich', 'ejecta', 'demonstrate', 'that', 'kepler', 'resulted', 'from', 'a', 'thermonuclear', 'supernova', 'even', 'though', 'evidence', 'for', 'circumstellar', 'interaction', 'is', 'also', 'strong', 'we', 'have', 'analyzed', 'spectra', 'of', 'over', '100', 'small', 'regions', 'and', 'find', 'that', 'they', 'fall', 'into', 'three', 'classes', '1', 'the', 'vast', 'majority', 'show', 'fe', 'l', 'emission', 'between', '07', 'and', '1', 'kev', 'and', 'si', 'and', 's', 'k', 'alpha', 'emission', 'we', 'associate', 'these', 'with', 'shocked', 'ejecta', 'a', 'few', 'of', 'these', 'are', 'found', 'at', 'or', 'beyond', 'the', 'mean', 'blast', 'wave', 'radius', '2', 'a', 'very', 'few', 'regions', 'show', 'solar', 'ofe', 'abundance', 'rations', 'these', 'we', 'associate', 'with', 'shocked', 'circumstellar', 'medium', 'csm', 'otherwise', 'o', 'is', 'scarce', '3', 'a', 'few', 'regions', 'are', 'dominated', 'by', 'continuum', 'probably', 'synchrotron', 'radiation', 'finally', 'we', 'find', 'no', 'central', 'point', 'source', 'with', 'a', 'limit', 'about', '100', 'times', 'fainter', 'than', 'the', 'central', 'object', 'in', 'cas', 'a', 'the', 'evidence', 'that', 'the', 'blast', 'wave', 'is', 'interacting', 'with', 'csm', 'may', 'indicate', 'a', 'ia', 'explosion', 'in', 'a', 'more', 'massive', 'progenitor']] | [-0.07690911745917546, 0.12446135385425051, -0.013758708447608995, 0.10228003062390162, -0.07674621904168524, -0.10755021037863187, 0.05942153733722783, 0.45125768569076835, -0.17175926378727452, -0.3317271277311037, 0.040684698413265094, -0.3184287394988685, -0.01501653060826437, 0.17990233544491807, 0.016541299442323285, -0.10946411082501545, 0.12748626551657752, -0.04540830618027824, -0.08124282327159024, -0.20932691608354942, 0.2916813717340762, 0.037094878203889035, 0.12185608628025865, 0.0136079531367508, 0.03493789523243081, -0.12213158423276567, -0.030092749075747986, -0.02301975637571423, -0.09151940527869722, 0.05250179953101343, 0.19895766911245444, 0.14827680291552664, 0.22839701851284472, -0.4094383971281967, -0.2753244104125609, 0.0725718508500256, 0.2062320186748833, 0.031357366025694826, -0.06575862381542011, -0.27202756495024616, 0.09351796189642084, -0.23741362861599463, -0.16021661297546813, 0.09848311882033862, 0.07170787998938223, 0.028436187744778657, -0.2276538448325919, 0.10528512956244608, 0.02813312529202921, 0.08666405286922928, -0.11393558688832252, -0.126400699860864, -0.04278425019213837, -0.013655827461757301, 0.06601157978798382, 0.033748615791671266, 0.13854887530217924, -0.12936672639585414, 0.02110108883938243, 0.4152331019170294, -0.06440206602138906, 0.03964487343347369, 0.25989058776372703, -0.2222008462686565, -0.14592864636836048, 0.2549267175108277, 0.09063548067692688, 0.08781156440340085, -0.11304311358076598, -0.010809814571904646, -0.06142302488606521, 0.2202766618406135, 0.057633625720344604, 0.053573070804460506, 0.3003318922450118, 0.11987432949849564, -0.006163614152452152, 0.10882865887737282, -0.23624198374374467, -0.011257525296748014, -0.2938018634616917, -0.11765338864482332, -0.11934940498425158, 0.13576473750335483, -0.16384746879813564, -0.11828878628429622, 0.2959811592407689, 0.09977175450551926, 0.2193969117209974, 0.005471400933299029, 0.22674895954210292, 0.05768915783685956, 0.060091113162262996, 0.17246820085079959, 0.3269790298207689, 0.14532452720623895, 0.13296667389888112, -0.17998813625389082, 0.06310527392493262, -0.010221658390303508] |
708.3859 | Limits of zeros of polynomial sequences | In the present paper we consider $F_k(x)=x^{k}-\sum_{t=0}^{k-1}x^t,$ the
characteristic polynomial of the $k$-th order Fibonacci sequence, the latter
denoted $G(k,l).$ We determine the limits of the real roots of certain odd and
even degree polynomials related to the derivatives and integrals of $F_k(x),$
that form infinite sequences of polynomials, of increasing degree. In
particular, as $k \to \infty,$ the limiting values of the zeros are determined,
for both odd and even cases. It is also shown, in both cases, that the
convergence is monotone for sufficiently large degree. We give an upper bound
for the modulus of the complex zeros of the polynomials for each sequence. This
gives a general solution related to problems considered by Dubeau 1989, 1993,
Miles 1960, Flores 1967, Miller 1971 and later by the second author in the
present paper, and Narayan 1997.
| math.CA math.HO | in the present paper we consider f_kxxksum_t0k1xt the characteristic polynomial of the kth order fibonacci sequence the latter denoted gkl we determine the limits of the real roots of certain odd and even degree polynomials related to the derivatives and integrals of f_kx that form infinite sequences of polynomials of increasing degree in particular as k to infty the limiting values of the zeros are determined for both odd and even cases it is also shown in both cases that the convergence is monotone for sufficiently large degree we give an upper bound for the modulus of the complex zeros of the polynomials for each sequence this gives a general solution related to problems considered by dubeau 1989 1993 miles 1960 flores 1967 miller 1971 and later by the second author in the present paper and narayan 1997 | [['in', 'the', 'present', 'paper', 'we', 'consider', 'f_kxxksum_t0k1xt', 'the', 'characteristic', 'polynomial', 'of', 'the', 'kth', 'order', 'fibonacci', 'sequence', 'the', 'latter', 'denoted', 'gkl', 'we', 'determine', 'the', 'limits', 'of', 'the', 'real', 'roots', 'of', 'certain', 'odd', 'and', 'even', 'degree', 'polynomials', 'related', 'to', 'the', 'derivatives', 'and', 'integrals', 'of', 'f_kx', 'that', 'form', 'infinite', 'sequences', 'of', 'polynomials', 'of', 'increasing', 'degree', 'in', 'particular', 'as', 'k', 'to', 'infty', 'the', 'limiting', 'values', 'of', 'the', 'zeros', 'are', 'determined', 'for', 'both', 'odd', 'and', 'even', 'cases', 'it', 'is', 'also', 'shown', 'in', 'both', 'cases', 'that', 'the', 'convergence', 'is', 'monotone', 'for', 'sufficiently', 'large', 'degree', 'we', 'give', 'an', 'upper', 'bound', 'for', 'the', 'modulus', 'of', 'the', 'complex', 'zeros', 'of', 'the', 'polynomials', 'for', 'each', 'sequence', 'this', 'gives', 'a', 'general', 'solution', 'related', 'to', 'problems', 'considered', 'by', 'dubeau', '1989', '1993', 'miles', '1960', 'flores', '1967', 'miller', '1971', 'and', 'later', 'by', 'the', 'second', 'author', 'in', 'the', 'present', 'paper', 'and', 'narayan', '1997']] | [-0.1636584273818538, 0.09781341649592351, -0.04289473910637967, 0.07036601332690813, -0.04805007195511066, -0.09700436002629645, 0.027936874019146404, 0.2762039055541048, -0.2634456768590847, -0.27278083158478905, 0.12589780151542715, -0.2535649919505779, -0.17748729638097918, 0.19243256759974053, -0.08340916597209048, 0.027819897853773642, 0.029439795796540293, 0.07080092869685306, -0.028181436136091018, -0.3450523540668655, 0.3098373172927977, 0.019833110642674213, 0.17816672322121174, 0.06719762352911536, 0.09202908987165703, 0.009283904588836081, -0.014257645549899762, -0.040009297760742114, -0.17345145587547878, 0.11361407343407764, 0.24484311655054197, 0.10372171914958231, 0.24447767086060004, -0.3369881771025522, -0.11418385519166752, 0.181333229822271, 0.14793082802583846, 0.03201905929189011, 0.02380208033547901, -0.22239054307711364, 0.1124578188841149, -0.13220477864257085, -0.19018979234490818, -0.06071730675381225, 0.10182264977929127, 0.08138587987324332, -0.29995459677678915, 0.06425689857068766, 0.1244292852729011, 0.10892755747580155, -0.025038628243183828, -0.18387752830526818, 0.022062171906273922, 0.10996047510792885, 0.04695916511991527, 0.02761751421562889, -0.02157015594147036, -0.11025179875158596, -0.105486441129709, 0.3504634640480885, -0.0484858435451957, -0.18349754148542108, 0.12796740082215846, -0.16906351101009504, -0.15760137506089555, 0.10099601652473211, 0.10780861535493065, 0.16468953854157864, -0.07196412430665292, 0.1430196936823503, -0.09584854381575818, 0.10284352499087725, 0.17742381692412035, -0.023905134143098944, 0.10522000497097478, 0.029412043827024344, 0.05776507351787158, 0.19074671055012218, -0.02271058108411072, -0.08067830264403977, -0.29060036486685825, -0.18279479155257028, -0.21954572198035963, 0.04416182451634942, -0.12476863690447798, -0.16051255719481988, 0.40683513943290833, 0.11250035426072667, 0.18470617204301937, 0.12008517190320965, 0.21493191069320722, 0.1802807410088409, 0.0008427258144365624, 0.08206770993416178, 0.16606230984839118, 0.19149577552076047, 0.08877494966488003, -0.16355060736040125, 0.06257929916918169, 0.135584472120493] |
708.386 | Fragile three-dimensionality in the quasi-one-dimensional cuprate
PrBa_2Cu_4O_8 | In this article we report on the experimental realization of dimensional
crossover phenomena in the chain compound PrBa$_2$Cu$_4$O$_8$ using
temperature, high magnetic fields and disorder as independent tuning
parameters. In purer crystals of PrBa$_2$Cu$_4$O$_8$, a highly anisotropic
three-dimensional Fermi-liquid state develops at low temperatures. This
metallic state is extremely susceptible to disorder however and localization
rapidly sets in. We show, through quantitative comparison of the relevant
energy scales, that this metal/insulator crossover occurs precisely when the
scattering rate within the chain exceeds the interchain hopping rate(s), i.e.
once carriers become confined to a single conducting element.
| cond-mat.str-el | in this article we report on the experimental realization of dimensional crossover phenomena in the chain compound prba_2cu_4o_8 using temperature high magnetic fields and disorder as independent tuning parameters in purer crystals of prba_2cu_4o_8 a highly anisotropic threedimensional fermiliquid state develops at low temperatures this metallic state is extremely susceptible to disorder however and localization rapidly sets in we show through quantitative comparison of the relevant energy scales that this metalinsulator crossover occurs precisely when the scattering rate within the chain exceeds the interchain hopping rates ie once carriers become confined to a single conducting element | [['in', 'this', 'article', 'we', 'report', 'on', 'the', 'experimental', 'realization', 'of', 'dimensional', 'crossover', 'phenomena', 'in', 'the', 'chain', 'compound', 'prba_2cu_4o_8', 'using', 'temperature', 'high', 'magnetic', 'fields', 'and', 'disorder', 'as', 'independent', 'tuning', 'parameters', 'in', 'purer', 'crystals', 'of', 'prba_2cu_4o_8', 'a', 'highly', 'anisotropic', 'threedimensional', 'fermiliquid', 'state', 'develops', 'at', 'low', 'temperatures', 'this', 'metallic', 'state', 'is', 'extremely', 'susceptible', 'to', 'disorder', 'however', 'and', 'localization', 'rapidly', 'sets', 'in', 'we', 'show', 'through', 'quantitative', 'comparison', 'of', 'the', 'relevant', 'energy', 'scales', 'that', 'this', 'metalinsulator', 'crossover', 'occurs', 'precisely', 'when', 'the', 'scattering', 'rate', 'within', 'the', 'chain', 'exceeds', 'the', 'interchain', 'hopping', 'rates', 'ie', 'once', 'carriers', 'become', 'confined', 'to', 'a', 'single', 'conducting', 'element']] | [-0.16670585624039327, 0.27859935428326327, -0.006190877366558804, 0.034893764170798626, 0.009880764099458853, -0.1760259664103311, 0.10767311562085524, 0.38694926112657413, -0.2678950552945025, -0.2192453470925102, 0.059851783143434055, -0.31103637109238963, -0.09683195862453431, 0.1714181742669704, 0.044860592877133364, -0.006173185953457505, 0.02703358395471393, -0.007370224763993368, -0.07780861467229745, -0.18361036645364948, 0.29899265595789376, 0.06678389684626988, 0.3540798791218549, 0.09379497668608867, 0.062013124367998294, 0.028282004743838723, 0.12311101233838902, 0.04396178263656717, -0.16366206946539327, 0.016186499192068975, 0.2993544388518785, -0.11925613500541961, 0.2187016437528655, -0.41703182850809145, -0.2306856750898684, 0.03281663149876598, 0.17450710172791636, 0.18439915180836883, -0.08039429474956705, -0.2535182988237163, 0.02048074803678901, -0.15095616148270588, -0.11896801749147319, -0.09693114169446441, 0.002766345613054, -0.023826140518697986, -0.2723581230772349, 0.16443660008917504, 0.017747233598735573, 0.11373266934727629, -0.07603086390978812, -0.0816529397367655, -0.009717201217426918, 0.07193472407531469, 0.06283747169800336, 0.036015805607955066, 0.17216605301170299, -0.15288424966918987, -0.03996792699520787, 0.3287169362884015, -0.05800456247622302, -0.09813390446652193, 0.2393821649942159, -0.20619895631292215, -0.09294075763318688, 0.20029406738467515, 0.13009823097187714, 0.1164581970369909, -0.1307687575252506, 0.06822397986888973, 0.020462541409263697, 0.1946209014095075, 0.008786770236232163, 0.06534908088603213, 0.22088519126797715, 0.2537393256085731, 0.02433320549122679, 0.1690968281861084, -0.11136515148245962, -0.09678498019153874, -0.22279218334006146, -0.14918727173305038, -0.2246004518480428, 0.06761606760604384, -0.07232367658646884, -0.2154442890508411, 0.38218809812678955, 0.2091705683015069, 0.21961442272307372, -0.03163090400630608, 0.2317083008623134, 0.1054771723805364, 0.04055649127015689, 0.03709298974717967, 0.228170348937662, 0.12970671303143413, 0.11067032505525276, -0.2432187330002004, 0.07900686838911497, 0.017050919799658004] |
708.3861 | Calculating the image of the second Johnson-Morita representation | Johnson has defined a surjective homomorphism from the Torelli subgroup of
the mapping class group of the surface of genus $g$ with one boundary component
to $\wedge^3 H$, the third exterior product of the homology of the surface.
Morita then extended Johnson's homomorphism to a homomorphism from the entire
mapping class group to ${1/2} \wedge^3 H \semi \sp(H)$. This Johnson-Morita
homomorphism is not surjective, but its image is finite index in ${1/2}
\wedge^3 H \semi \sp(H)$. Here we give a description of the exact image of
Morita's homomorphism. Further, we compute the image of the handlebody subgroup
of the mapping class group under the same map.
| math.GT | johnson has defined a surjective homomorphism from the torelli subgroup of the mapping class group of the surface of genus g with one boundary component to wedge3 h the third exterior product of the homology of the surface morita then extended johnsons homomorphism to a homomorphism from the entire mapping class group to 12 wedge3 h semi sph this johnsonmorita homomorphism is not surjective but its image is finite index in 12 wedge3 h semi sph here we give a description of the exact image of moritas homomorphism further we compute the image of the handlebody subgroup of the mapping class group under the same map | [['johnson', 'has', 'defined', 'a', 'surjective', 'homomorphism', 'from', 'the', 'torelli', 'subgroup', 'of', 'the', 'mapping', 'class', 'group', 'of', 'the', 'surface', 'of', 'genus', 'g', 'with', 'one', 'boundary', 'component', 'to', 'wedge3', 'h', 'the', 'third', 'exterior', 'product', 'of', 'the', 'homology', 'of', 'the', 'surface', 'morita', 'then', 'extended', 'johnsons', 'homomorphism', 'to', 'a', 'homomorphism', 'from', 'the', 'entire', 'mapping', 'class', 'group', 'to', '12', 'wedge3', 'h', 'semi', 'sph', 'this', 'johnsonmorita', 'homomorphism', 'is', 'not', 'surjective', 'but', 'its', 'image', 'is', 'finite', 'index', 'in', '12', 'wedge3', 'h', 'semi', 'sph', 'here', 'we', 'give', 'a', 'description', 'of', 'the', 'exact', 'image', 'of', 'moritas', 'homomorphism', 'further', 'we', 'compute', 'the', 'image', 'of', 'the', 'handlebody', 'subgroup', 'of', 'the', 'mapping', 'class', 'group', 'under', 'the', 'same', 'map']] | [-0.13409230574078085, 0.021195494932263106, -0.12433473918068591, 0.01960824313683365, -0.11449737516495417, -0.13810797425795276, 0.008805148725239735, 0.3728716349896957, -0.41423351720485063, -0.2560606351526419, 0.12446714634238303, -0.25180524241460384, -0.08171540635356785, 0.1326456198134934, -0.15793220477864006, -0.015725446325168892, 0.07526312079192754, 0.09819126495089874, -0.114250950058395, -0.19865285998807763, 0.3814961383523384, -0.056513113505646306, 0.18124728628109157, 0.041422238526756014, 0.0746519579991417, -0.036980279892647884, -0.07379071947784638, -0.05511929961975734, -0.1876091522445797, 0.079508254695508, 0.288279657269705, 0.06839393374492538, 0.1860276040102724, -0.3093021878586063, -0.1456797349855374, 0.21660715913979933, 0.07776000202668584, -0.016492453737641282, -0.06806862635652201, -0.2830350299031948, 0.09030622489012356, -0.20101943884466617, -0.06825749850216901, 0.017825914555633406, 0.10409974570403684, -0.07084898003552742, -0.20837516931570926, -0.013987007935285428, 0.12352668894630559, 0.11771668418626881, -0.04477423103855712, -0.05509357613880398, -0.11423210182033901, 0.14806756680339295, -0.051740558861912984, 0.15214647098778272, 0.14468571912708147, -0.11962477799355632, -0.04522520048930397, 0.42394664545350197, -0.1296919548866462, -0.1771338363265935, 0.14834601328409505, -0.18471636754056475, -0.20556477245540833, 0.18020168326153718, 0.043047859465246495, 0.15328179075786807, -0.021143504348144215, 0.2280835392006304, -0.16738893096840432, 0.1140201098092322, 0.03731056830828201, -0.10581207059253499, 0.08636228011850759, 0.05694061651483248, 0.12870743147642263, 0.18715674406409544, -0.0625884010399393, 0.06058637119548501, -0.3338519546010022, -0.22021294156098212, -0.15332590789481435, 0.13682209364073197, -0.10239839415891834, -0.18995547347333072, 0.4445562337015597, 0.05759720434874015, 0.11816449609216091, 0.13978875051516126, 0.19971470095937685, 0.05345348215152351, 0.10194006916091619, 0.06883978501911152, 0.10673493207959493, 0.2573688980016225, -0.1016662761410874, -0.17350358783952752, -0.07719008577548249, 0.2811405262163014] |
708.3862 | Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative
Aharonov-Bohm potential | In this work we study modifications in the Aharonov-Bohm effect for
relativistic spin 1/2 particles due to the noncommutativity of spacetime in $2
+ 1$ dimensions. The noncommutativity gives rise to a correction to the
Aharonov-Bohm potential which is highly singular at the origin, producing
divergences in a perturbative expansion around the usual solution of the free
Dirac equation. This problem is surmounted by using a perturbative expansion
around the exact solution of the \textit{commutative} Aharonov-Bohm problem. We
calculate, in this setting, the scattering amplitude and the corrections to the
differential and total cross sections for a spin 1/2 particle, in the
small-flux limit.
| hep-th | in this work we study modifications in the aharonovbohm effect for relativistic spin 12 particles due to the noncommutativity of spacetime in 2 1 dimensions the noncommutativity gives rise to a correction to the aharonovbohm potential which is highly singular at the origin producing divergences in a perturbative expansion around the usual solution of the free dirac equation this problem is surmounted by using a perturbative expansion around the exact solution of the textitcommutative aharonovbohm problem we calculate in this setting the scattering amplitude and the corrections to the differential and total cross sections for a spin 12 particle in the smallflux limit | [['in', 'this', 'work', 'we', 'study', 'modifications', 'in', 'the', 'aharonovbohm', 'effect', 'for', 'relativistic', 'spin', '12', 'particles', 'due', 'to', 'the', 'noncommutativity', 'of', 'spacetime', 'in', '2', '1', 'dimensions', 'the', 'noncommutativity', 'gives', 'rise', 'to', 'a', 'correction', 'to', 'the', 'aharonovbohm', 'potential', 'which', 'is', 'highly', 'singular', 'at', 'the', 'origin', 'producing', 'divergences', 'in', 'a', 'perturbative', 'expansion', 'around', 'the', 'usual', 'solution', 'of', 'the', 'free', 'dirac', 'equation', 'this', 'problem', 'is', 'surmounted', 'by', 'using', 'a', 'perturbative', 'expansion', 'around', 'the', 'exact', 'solution', 'of', 'the', 'textitcommutative', 'aharonovbohm', 'problem', 'we', 'calculate', 'in', 'this', 'setting', 'the', 'scattering', 'amplitude', 'and', 'the', 'corrections', 'to', 'the', 'differential', 'and', 'total', 'cross', 'sections', 'for', 'a', 'spin', '12', 'particle', 'in', 'the', 'smallflux', 'limit']] | [-0.15721208058841674, 0.13101226537682042, -0.11174592216231741, 0.10796973962535031, -0.026124066746987328, -0.06741693765293844, 0.004269955767373932, 0.2635285503941007, -0.23954553112369215, -0.28737875254880085, 0.02772847868935528, -0.3235309885279967, -0.11430984152720707, 0.14081480626666937, -0.024914941727414285, 0.02377600940221017, 0.008815709243316462, 0.03849408897285414, -0.10319614195089677, -0.20289158149354972, 0.34379435293284233, 0.06670283744835506, 0.20451478716354854, 0.09436403534439679, 0.08869640252986315, 0.035484721990173114, -9.328567671893847e-05, 0.009048828320337994, -0.13917711686278408, 0.08295502240474492, 0.1904053421999964, -0.0409610394831046, 0.19403516587865824, -0.3972827975112613, -0.15712685064219012, 0.06948806463491798, 0.17252010188185343, 0.18255855032533297, -0.020626191114361335, -0.27072251981151946, 0.03903996117734627, -0.18736070608097766, -0.19169729752097242, -0.0360844490247419, 0.05204027746389113, -0.09176373064269007, -0.26488470866132785, 0.11388325723266174, 0.038954471791218415, -0.016960585028818337, -0.0795837954184649, -0.04620620575134117, 0.05520286571262128, 0.05144469463958008, 0.07930969581063284, 0.04186604096609546, 0.0993216318023013, -0.16189341188297782, -0.13053396073548068, 0.4076267333337023, -0.07520361635188508, -0.2392563376308299, 0.07671824849146132, -0.21527610657884194, -0.09636970904729522, 0.1624287723167108, 0.13813719789308523, 0.13684074156963738, -0.1494344044753378, 0.1626371862124744, 0.03035323726160839, 0.10102051660063502, 0.11358839226656105, 0.017637778451610908, 0.20209522558247098, 0.1078986737618942, 0.06741715048780979, 0.11469930784758364, -0.11040299744944614, -0.1359664970792203, -0.3606419067571659, -0.15430956155333742, -0.15106861173442684, 0.11985743689433773, -0.09991127518115168, -0.19976319001047033, 0.3843441325156848, 0.17149463936797169, 0.19114196297740288, -0.018357957417080826, 0.29188699952077746, 0.18720908886245866, 0.05179376698255834, 0.04856375968637, 0.27664688605778287, 0.17457407979654277, 0.1368477860659287, -0.2812480891104972, -0.03610947203942307, 0.08311468478993024] |
708.3863 | Condensed Surfaces of Magnetic Neutron Stars, Thermal Surface Emission,
and Particle Acceleration Above Pulsar Polar Caps | For sufficiently strong magnetic fields and/or low temperatures, the neutron
star surface may be in a condensed state with little gas or plasma above it.
Such surface condensation can significantly affect the thermal emission from
isolated neutron stars, and may lead to the formation of a charge-depleted
acceleration zone ("vacuum gap") in the magnetosphere above the stellar polar
cap. Using the latest results on the cohesive property of magnetic condensed
matter, we quantitatively determine the conditions for surface condensation and
vacuum gap formation in magnetic neutron stars. We find that condensation can
occur if the thermal energy kT of the neutron star surface is less than about
8% of its cohesive energy Q_s, and that a vacuum gap can form if the neutron
star's rotation axis and magnetic moment point in opposite directions and kT is
less than about 4% of Q_s. Thus, vacuum gap accelerators may exist for some
neutron stars. Motivated by this result, we also study the physics of pair
cascades in the vacuum gap model for photon emission by accelerating electrons
and positrons due to both curvature radiation and resonant/nonresonant inverse
Compton scattering. Our calculations of the condition of cascade-induced vacuum
breakdown and the related pulsar death line/boundary generalize previous works
to the superstrong field regime. We find that inverse Compton scatterings do
not produce a sufficient number of high energy photons in the gap and thus do
not lead to pair cascades for most neutron star parameters. We discuss the
implications of our results for the recent observations of neutron star thermal
radiation as well as for the detection/non-detection of radio emission from
high-B pulsars and magnetars.
| astro-ph | for sufficiently strong magnetic fields andor low temperatures the neutron star surface may be in a condensed state with little gas or plasma above it such surface condensation can significantly affect the thermal emission from isolated neutron stars and may lead to the formation of a chargedepleted acceleration zone vacuum gap in the magnetosphere above the stellar polar cap using the latest results on the cohesive property of magnetic condensed matter we quantitatively determine the conditions for surface condensation and vacuum gap formation in magnetic neutron stars we find that condensation can occur if the thermal energy kt of the neutron star surface is less than about 8 of its cohesive energy q_s and that a vacuum gap can form if the neutron stars rotation axis and magnetic moment point in opposite directions and kt is less than about 4 of q_s thus vacuum gap accelerators may exist for some neutron stars motivated by this result we also study the physics of pair cascades in the vacuum gap model for photon emission by accelerating electrons and positrons due to both curvature radiation and resonantnonresonant inverse compton scattering our calculations of the condition of cascadeinduced vacuum breakdown and the related pulsar death lineboundary generalize previous works to the superstrong field regime we find that inverse compton scatterings do not produce a sufficient number of high energy photons in the gap and thus do not lead to pair cascades for most neutron star parameters we discuss the implications of our results for the recent observations of neutron star thermal radiation as well as for the detectionnondetection of radio emission from highb pulsars and magnetars | [['for', 'sufficiently', 'strong', 'magnetic', 'fields', 'andor', 'low', 'temperatures', 'the', 'neutron', 'star', 'surface', 'may', 'be', 'in', 'a', 'condensed', 'state', 'with', 'little', 'gas', 'or', 'plasma', 'above', 'it', 'such', 'surface', 'condensation', 'can', 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708.3864 | 3He-Driven Mixing in Low-Mass Red Giants: Convective Instability in
Radiative and Adiabatic Limits | We examine the stability and observational consequences of mixing induced by
3He burning in the envelopes of first ascent red giants. We demonstrate that
there are two unstable modes: a rapid, nearly adiabatic mode that we cannot
identify with an underlying physical mechanism, and a slow, nearly radiative
mode that can be identified with thermohaline convection. We present
observational constraints that make the operation of the rapid mode unlikely to
occur in real stars. Thermohaline convection turns out to be fast enough only
if fluid elements have finger-like structures with a length to diameter ratio
l/d > 10. We identify some potentially serious obstacles for thermohaline
convection as the predominant mixing mechanism for giants. We show that
rotation-induced horizontal turbulent diffusion may suppress the 3He-driven
thermohaline convection. Another potentially serious problem for it is to
explain observational evidence of enhanced extra mixing. The 3He exhaustion in
stars approaching the red giant branch (RGB) tip should make the 3He mixing
inefficient on the asymptotic giant branch (AGB). In spite of this, there are
observational data indicating the presence of extra mixing in low-mass AGB
stars similar to that operating on the RGB. Overmixing may also occur in
carbon-enhanced metal-poor stars.
| astro-ph | we examine the stability and observational consequences of mixing induced by 3he burning in the envelopes of first ascent red giants we demonstrate that there are two unstable modes a rapid nearly adiabatic mode that we cannot identify with an underlying physical mechanism and a slow nearly radiative mode that can be identified with thermohaline convection we present observational constraints that make the operation of the rapid mode unlikely to occur in real stars thermohaline convection turns out to be fast enough only if fluid elements have fingerlike structures with a length to diameter ratio ld 10 we identify some potentially serious obstacles for thermohaline convection as the predominant mixing mechanism for giants we show that rotationinduced horizontal turbulent diffusion may suppress the 3hedriven thermohaline convection another potentially serious problem for it is to explain observational evidence of enhanced extra mixing the 3he exhaustion in stars approaching the red giant branch rgb tip should make the 3he mixing inefficient on the asymptotic giant branch agb in spite of this there are observational data indicating the presence of extra mixing in lowmass agb stars similar to that operating on the rgb overmixing may also occur in carbonenhanced metalpoor stars | [['we', 'examine', 'the', 'stability', 'and', 'observational', 'consequences', 'of', 'mixing', 'induced', 'by', '3he', 'burning', 'in', 'the', 'envelopes', 'of', 'first', 'ascent', 'red', 'giants', 'we', 'demonstrate', 'that', 'there', 'are', 'two', 'unstable', 'modes', 'a', 'rapid', 'nearly', 'adiabatic', 'mode', 'that', 'we', 'can', 'not', 'identify', 'with', 'an', 'underlying', 'physical', 'mechanism', 'and', 'a', 'slow', 'nearly', 'radiative', 'mode', 'that', 'can', 'be', 'identified', 'with', 'thermohaline', 'convection', 'we', 'present', 'observational', 'constraints', 'that', 'make', 'the', 'operation', 'of', 'the', 'rapid', 'mode', 'unlikely', 'to', 'occur', 'in', 'real', 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708.3865 | Design Study of a Low Energy IACT Array for Ground-Based Gamma-Ray
Astronomy | Recently, ground-based very high-energy (VHE) gamma-ray astronomy achieved a
remarkable advancement in the development of the observational technique for
the registration and study of gamma-ray emission above 100 GeV. Construction of
telescopes of substantially larger sizes than the currently used 12 m class
telescopes can drastically improve the sensitivity of ground-based detectors to
gamma rays of energy from 10 GeV to 100 GeV. Based on Monte Carlo simulations
we have studied the response of an array of three large area imaging
atmospheric Cherenkov telescopes (IACT) as a prototype for a future large-scale
low energy ground-based experiment. The sensitivity of a three-telescope array
as a function of optical reflector size was investigated here in detail.
| astro-ph | recently groundbased very highenergy vhe gammaray astronomy achieved a remarkable advancement in the development of the observational technique for the registration and study of gammaray emission above 100 gev construction of telescopes of substantially larger sizes than the currently used 12 m class telescopes can drastically improve the sensitivity of groundbased detectors to gamma rays of energy from 10 gev to 100 gev based on monte carlo simulations we have studied the response of an array of three large area imaging atmospheric cherenkov telescopes iact as a prototype for a future largescale low energy groundbased experiment the sensitivity of a threetelescope array as a function of optical reflector size was investigated here in detail | [['recently', 'groundbased', 'very', 'highenergy', 'vhe', 'gammaray', 'astronomy', 'achieved', 'a', 'remarkable', 'advancement', 'in', 'the', 'development', 'of', 'the', 'observational', 'technique', 'for', 'the', 'registration', 'and', 'study', 'of', 'gammaray', 'emission', 'above', '100', 'gev', 'construction', 'of', 'telescopes', 'of', 'substantially', 'larger', 'sizes', 'than', 'the', 'currently', 'used', '12', 'm', 'class', 'telescopes', 'can', 'drastically', 'improve', 'the', 'sensitivity', 'of', 'groundbased', 'detectors', 'to', 'gamma', 'rays', 'of', 'energy', 'from', '10', 'gev', 'to', '100', 'gev', 'based', 'on', 'monte', 'carlo', 'simulations', 'we', 'have', 'studied', 'the', 'response', 'of', 'an', 'array', 'of', 'three', 'large', 'area', 'imaging', 'atmospheric', 'cherenkov', 'telescopes', 'iact', 'as', 'a', 'prototype', 'for', 'a', 'future', 'largescale', 'low', 'energy', 'groundbased', 'experiment', 'the', 'sensitivity', 'of', 'a', 'threetelescope', 'array', 'as', 'a', 'function', 'of', 'optical', 'reflector', 'size', 'was', 'investigated', 'here', 'in', 'detail']] | [-0.07027138090333003, 0.19203374449589, -0.007113437029418715, 0.12852559612018236, -0.06572821628702641, -0.08248943893091851, -0.011923519220497263, 0.43320440855530795, -0.17465773143135666, -0.4419181876971076, 0.09895543621550723, -0.30838483885459583, -0.036116655099025945, 0.3125140611061892, 0.027800993017623562, 0.07947376751945469, 0.18020235484041142, -0.09665926017291974, -0.053794524632394314, -0.18938905597059874, 0.1867395291460286, 0.2490808400733952, 0.25213515341921156, 0.05396131757369036, 0.11459009774568442, -0.036057227250319304, -0.04680662468206464, -0.02276202888440406, -0.11433391332633491, 0.09743103926200747, 0.2936587074113879, 0.12116479935336924, 0.1935581223050688, -0.3627009434102659, -0.23279249420049478, 0.11071605395460338, 0.10834887552712309, -0.035420968899862806, -0.061599258636737146, -0.3204329742563954, 0.02563084219327082, -0.2104251436366324, -0.19875602514009205, 0.0694785547900226, -0.02046890975907445, 0.05289829613256938, -0.19781215314083456, -0.04503890628142184, -0.07697548251292717, 0.08315507858570893, -0.05891800282539375, -0.16100085987464377, 0.05001477984376578, 0.03323222578425581, 0.009224726656643804, 0.0658077638486008, 0.1006469277566985, -0.16611715257494597, -0.11195227819119107, 0.3444765245770676, -0.08336958573917193, -0.039080435777769276, 0.17797495141878658, -0.22414396705694103, -0.18192620352809236, 0.2240798118577355, 0.2159959480591249, 0.1270431093830746, -0.18497320600752637, 0.07415260302016242, 0.01518377101277573, 0.21372510738703504, 0.07111959110357259, 0.05657999034513507, 0.22439452291776738, 0.28400492650230025, 0.10511017744143478, 0.132642902514546, -0.3115698274392471, 0.024341918446385023, -0.24829707128044806, -0.12778486769157257, -0.2180068550566048, 0.13097386527602284, -0.06573828576904162, -0.09074036225986977, 0.4021375176104668, 0.15499752465831607, 0.12111390832599186, 0.013784211065636523, 0.32087863352672574, 0.0069756796277177175, 0.12291747399017607, -0.022033639525863947, 0.3750635430445535, 0.0931397549942822, 0.15198950752566912, -0.15668445680976698, -0.014474025625212673, -0.029532586236631398] |
708.3866 | Carrier multiplication yields in CdSe and CdTe nanocrystals by transient
photoluminescence | Engineering semiconductors to enhance carrier multiplication (CM) could lead
to increased photovoltaic cell performance and a significant widening of the
materials range suitable for future solar technologies. Semiconductor
nanocrystals (NCs) have been proposed as a favourable structure for CM
enhancement, and recent measurements by transient absorption have shown
evidence for highly efficient CM in lead chalcogenide and CdSe NCs. We report
here an assessment of CM yields in CdSe and CdTe NCs by a quantitative analysis
of biexciton and exciton signatures in transient photoluminescence decays.
Although the technique is particularly sensitive due to enhanced biexciton
radiative rates relative to the exciton, kradBX > 2 kradX, we find no evidence
for CM in CdSe and CdTe NCs up to photon energies E > 3 Eg, well above
previously reported relative energy thresholds.
| cond-mat.mes-hall cond-mat.mtrl-sci | engineering semiconductors to enhance carrier multiplication cm could lead to increased photovoltaic cell performance and a significant widening of the materials range suitable for future solar technologies semiconductor nanocrystals ncs have been proposed as a favourable structure for cm enhancement and recent measurements by transient absorption have shown evidence for highly efficient cm in lead chalcogenide and cdse ncs we report here an assessment of cm yields in cdse and cdte ncs by a quantitative analysis of biexciton and exciton signatures in transient photoluminescence decays although the technique is particularly sensitive due to enhanced biexciton radiative rates relative to the exciton kradbx 2 kradx we find no evidence for cm in cdse and cdte ncs up to photon energies e 3 eg well above previously reported relative energy thresholds | [['engineering', 'semiconductors', 'to', 'enhance', 'carrier', 'multiplication', 'cm', 'could', 'lead', 'to', 'increased', 'photovoltaic', 'cell', 'performance', 'and', 'a', 'significant', 'widening', 'of', 'the', 'materials', 'range', 'suitable', 'for', 'future', 'solar', 'technologies', 'semiconductor', 'nanocrystals', 'ncs', 'have', 'been', 'proposed', 'as', 'a', 'favourable', 'structure', 'for', 'cm', 'enhancement', 'and', 'recent', 'measurements', 'by', 'transient', 'absorption', 'have', 'shown', 'evidence', 'for', 'highly', 'efficient', 'cm', 'in', 'lead', 'chalcogenide', 'and', 'cdse', 'ncs', 'we', 'report', 'here', 'an', 'assessment', 'of', 'cm', 'yields', 'in', 'cdse', 'and', 'cdte', 'ncs', 'by', 'a', 'quantitative', 'analysis', 'of', 'biexciton', 'and', 'exciton', 'signatures', 'in', 'transient', 'photoluminescence', 'decays', 'although', 'the', 'technique', 'is', 'particularly', 'sensitive', 'due', 'to', 'enhanced', 'biexciton', 'radiative', 'rates', 'relative', 'to', 'the', 'exciton', 'kradbx', '2', 'kradx', 'we', 'find', 'no', 'evidence', 'for', 'cm', 'in', 'cdse', 'and', 'cdte', 'ncs', 'up', 'to', 'photon', 'energies', 'e', '3', 'eg', 'well', 'above', 'previously', 'reported', 'relative', 'energy', 'thresholds']] | [-0.05086859752603726, 0.13465507085516218, 0.036048333186245576, 0.04493880897896056, 0.0470301203400366, -0.18349781530124581, 0.06833822024604819, 0.4717993036381842, -0.18444842654170365, -0.36437203738779766, 0.016862365523514552, -0.2902062610688933, -0.11285297316682386, 0.2763395869781769, -0.0172369312164997, 0.07881596553924046, 0.04917758533008778, -0.12054444091599875, -0.06582654612212199, -0.14013156351838701, 0.20579934384541834, 0.1313366061388185, 0.32556030794420815, 0.16860266890758135, 0.019818834835795437, -0.04216381066522788, 0.0387592754422093, -0.02357550874704451, -0.14594199315541218, 0.1219465366058697, 0.3152162727393855, -0.024246961114869462, 0.2368666688108626, -0.4376155379756288, -0.22591401762732372, 0.08171294980103105, 0.18449673320954632, 0.13622068245638544, -0.15075905827299405, -0.25395502958366073, 0.1202682959402574, -0.18199031903063806, -0.06433453776792983, -0.04444370469386418, 0.0633047893313383, 0.00986415442211304, -0.24645040312453767, 0.07192173381482699, 0.015199216432511022, 0.04618330709141217, -0.11224761605262756, -0.14790831010112188, -0.01735941003128065, 0.021952629144354835, -0.008774003197299683, -0.011444776610463975, 0.24982057494206691, -0.1023567638865958, -0.1620069508473792, 0.35417607215812474, -0.058327331523022316, -0.03254504271555604, 0.16628985789670483, -0.1754933406129538, -0.051932596572212816, 0.2547049338848689, 0.16532821180372256, 0.09546679376961854, -0.11062154190396656, 0.05263787471436287, 0.05498355712698531, 0.23460359105063, 0.07052342203541065, 0.17008298610458078, 0.20649413971824382, 0.2014016759211535, 0.044478006297942456, 0.108115503417812, -0.13647171478777184, -0.014404743719171352, -0.14815936868233004, -0.23165935040524918, -0.1405617575982483, 0.12480073347669388, -0.08119277780308154, -0.14550159748448388, 0.38349916281427926, 0.07839706543041026, 0.16218012128406623, -0.0519679608410151, 0.20837625663170195, 0.09772279408144376, 0.11556207852467425, -0.044369997086340755, 0.3358261235586302, 0.16000398229734283, 0.14205491003822387, -0.24464661978903834, 0.06648080019137316, -0.07525785700381389] |
708.3867 | Normal matrix models, dbar-problem, and orthogonal polynomials on the
complex plane | We introduce a dbar-formulation of the orthogonal polynomials on the complex
plane, and hence of the related normal matrix model, which is expected to play
the same role as the Riemann-Hilbert formalism in the theory of orthogonal
polynomials on the line and for the related Hermitian model. We propose an
analog of Deift-Kriecherbauer-McLaughlin-Venakides-Zhou asymptotic method for
the analysis of the relevant dbar-problem, and indicate how familiar steps for
the Hermitian model, e.g. the g-function ``undressing'', might look like in the
case of the normal model. We use the particular model considered recently by P.
Elbau and G. Felder as a case study.
| math.CA math-ph math.MP nlin.SI | we introduce a dbarformulation of the orthogonal polynomials on the complex plane and hence of the related normal matrix model which is expected to play the same role as the riemannhilbert formalism in the theory of orthogonal polynomials on the line and for the related hermitian model we propose an analog of deiftkriecherbauermclaughlinvenakideszhou asymptotic method for the analysis of the relevant dbarproblem and indicate how familiar steps for the hermitian model eg the gfunction undressing might look like in the case of the normal model we use the particular model considered recently by p elbau and g felder as a case study | [['we', 'introduce', 'a', 'dbarformulation', 'of', 'the', 'orthogonal', 'polynomials', 'on', 'the', 'complex', 'plane', 'and', 'hence', 'of', 'the', 'related', 'normal', 'matrix', 'model', 'which', 'is', 'expected', 'to', 'play', 'the', 'same', 'role', 'as', 'the', 'riemannhilbert', 'formalism', 'in', 'the', 'theory', 'of', 'orthogonal', 'polynomials', 'on', 'the', 'line', 'and', 'for', 'the', 'related', 'hermitian', 'model', 'we', 'propose', 'an', 'analog', 'of', 'deiftkriecherbauermclaughlinvenakideszhou', 'asymptotic', 'method', 'for', 'the', 'analysis', 'of', 'the', 'relevant', 'dbarproblem', 'and', 'indicate', 'how', 'familiar', 'steps', 'for', 'the', 'hermitian', 'model', 'eg', 'the', 'gfunction', 'undressing', 'might', 'look', 'like', 'in', 'the', 'case', 'of', 'the', 'normal', 'model', 'we', 'use', 'the', 'particular', 'model', 'considered', 'recently', 'by', 'p', 'elbau', 'and', 'g', 'felder', 'as', 'a', 'case', 'study']] | [-0.10039044952847892, 0.06079734356340722, -0.0823110470576494, 0.07384458334406255, -0.0389340403442732, -0.1265893502518384, 0.011989434441372827, 0.3139742640284539, -0.24671116638740506, -0.24280237073944222, 0.10843805762976784, -0.23780219930440488, -0.24715620390200668, 0.19004640649919483, -0.030852796721526167, 0.031554588483590065, 0.008345617111913409, 0.08231241247532042, -0.09157241487433437, -0.1957979324918165, 0.36495264212723183, 0.053723804530396005, 0.2722833409453883, 0.01702399808687694, 0.06906870601115504, 0.06195280374665133, -0.05035819061631995, -0.03670357691707334, -0.11170732569551528, 0.11807542794967314, 0.22468033474352625, 0.10965098557767994, 0.2183727657215463, -0.41127149224507087, -0.17510901530734216, 0.15057972855301519, 0.14211094327964185, 0.05862039022001842, -0.0039009343611659726, -0.2520061108528288, 0.053220631869867294, -0.14841038761942676, -0.17683592196695055, -0.0564175696709579, -0.005041596399751877, 0.0147072211204266, -0.2565100435637916, 0.05463228772648356, 0.11139923459709142, 0.03348816213470818, -0.037990679933849456, -0.14781750480860772, 0.01299555835342317, 0.0964593668327187, 0.02686662856851601, 0.02585935426847727, 0.049905997486385245, -0.11302956630184192, -0.09412049463329215, 0.4186486014061504, -0.06315781974769903, -0.21611906828904393, 0.13257936988851393, -0.12340868885083256, -0.1389496700198512, 0.04454071979471153, 0.1872587169830998, 0.16003023368315866, -0.07108365078080407, 0.12081346471765728, -0.10333698376956763, 0.07050815312605765, 0.04461849706642555, -0.0025101693422354835, 0.1702989846599674, 0.09496726940922214, 0.03441266089000485, 0.1700571449332391, -0.06277626885907875, -0.11307241955790857, -0.31805848146816995, -0.19351134559753583, -0.14794988003253673, 0.04210177055622376, -0.10619346019894242, -0.1820543381630095, 0.43000375197240803, 0.13018948375012238, 0.20902212775980283, 0.03121229107468154, 0.24479674199840637, 0.15552347798060362, 0.05289324402639812, 0.009107890491834794, 0.18161540784675514, 0.1799060886260122, 0.0767524049457426, -0.21568276604515207, 0.05010858826301615, 0.11900206777088419] |
708.3868 | Relativistic Three-Body Scattering in a First Order Faddeev Formulation | Relativistic Faddeev equations for three-body scattering at arbitrary
energies are solved in first order in the two-body transition operator in terms
of momentum vectors without employing a partial wave decomposition.
Relativistic invariance is incorporated within the framework of Poincar{\'e}
invariant quantum mechanics. Based on a Malfliet-Tjon type interaction,
observables for elastic and breakup scattering are calculated and compared to
the nonrelativistic ones.
| nucl-th | relativistic faddeev equations for threebody scattering at arbitrary energies are solved in first order in the twobody transition operator in terms of momentum vectors without employing a partial wave decomposition relativistic invariance is incorporated within the framework of poincare invariant quantum mechanics based on a malfliettjon type interaction observables for elastic and breakup scattering are calculated and compared to the nonrelativistic ones | [['relativistic', 'faddeev', 'equations', 'for', 'threebody', 'scattering', 'at', 'arbitrary', 'energies', 'are', 'solved', 'in', 'first', 'order', 'in', 'the', 'twobody', 'transition', 'operator', 'in', 'terms', 'of', 'momentum', 'vectors', 'without', 'employing', 'a', 'partial', 'wave', 'decomposition', 'relativistic', 'invariance', 'is', 'incorporated', 'within', 'the', 'framework', 'of', 'poincare', 'invariant', 'quantum', 'mechanics', 'based', 'on', 'a', 'malfliettjon', 'type', 'interaction', 'observables', 'for', 'elastic', 'and', 'breakup', 'scattering', 'are', 'calculated', 'and', 'compared', 'to', 'the', 'nonrelativistic', 'ones']] | [-0.12599414678650997, 0.1770300696483783, -0.1104458462796174, 0.12187957049219779, -0.02271310412775605, -0.12051542245336028, -0.07206066749283983, 0.3059593581654612, -0.24463054722535513, -0.2267973895425037, -0.030488626699098537, -0.30141680920496583, -0.057518418014590296, 0.11687743510570257, 0.10821556373153843, 0.15553530522682255, 0.06573488264374676, 0.055483650235879804, -0.16049234996429615, -0.12487691071920938, 0.3713911073282361, 0.02622189909602786, 0.19570715318343812, 0.07639589527201268, 0.09619701282692052, 0.12438782649264941, -0.0006920575960389068, 0.0070647254601241116, -0.08322224185253764, 0.09501142544867171, 0.260103805757676, -0.010152282764113719, 0.1562814418031203, -0.478186379547321, -0.19929524734916707, 0.008022740704848642, 0.1681582506806139, 0.17317614065963896, -0.008025108785894249, -0.3465687849168335, -0.015728640790668227, -0.2040891210518537, -0.17200279742058727, -0.12170897029160012, 0.040947528676159924, -0.029871167765269355, -0.27711552553509755, 0.1365530508299989, 0.01383398303521737, 0.002308792573580098, -0.15065414168601554, -0.1240560042431518, 0.01843299679533248, 0.004757732881473437, 0.002738797338679433, 0.04658221999453681, 0.11874405234571427, -0.12012386841759566, -0.13177326216452545, 0.4919184781610966, -0.03373572186213888, -0.2728596601875559, 0.11495228089587463, -0.13027653249821836, -0.11889037692679032, 0.1904946095460365, 0.21966732390254975, 0.1149668739507756, -0.1938004431525065, 0.1480031259819835, 0.005095187640578051, 0.0705745420681553, 0.13179055260749714, 0.030726169341153676, 0.11239691892819058, 0.1050632240310792, -0.04672026888076817, 0.06174099235795438, -0.05469502705044203, -0.19693338759844342, -0.37734804656957427, -0.10146506253870265, -0.17328387992306343, 0.04411410051468392, -0.07364293693887791, -0.0988141632800351, 0.3140097325817952, 0.0681951568657232, 0.15288596006951505, 0.048530629941172174, 0.2710110750124459, 0.20169852304482652, 0.07485563554350406, 0.08591805290310614, 0.32231327646502084, 0.21810766336538137, 0.05990348295909503, -0.2745917264086705, 0.006089312249734517, 0.19250946643672162] |
708.3869 | Existence of periodic solutions for enzyme-catalysed reactions with
periodic substrate input | Considering a basic enzyme-catalysed reaction, in which the rate of input of
the substrate varies periodically in time, we give a necessary and sufficient
condition for the existence of a periodic solution of the reaction equations.
The proof employs the Leray-Schauder degree, applied to an appropriately
constructed homotopy.
| q-bio.BM nlin.AO | considering a basic enzymecatalysed reaction in which the rate of input of the substrate varies periodically in time we give a necessary and sufficient condition for the existence of a periodic solution of the reaction equations the proof employs the lerayschauder degree applied to an appropriately constructed homotopy | [['considering', 'a', 'basic', 'enzymecatalysed', 'reaction', 'in', 'which', 'the', 'rate', 'of', 'input', 'of', 'the', 'substrate', 'varies', 'periodically', 'in', 'time', 'we', 'give', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'the', 'existence', 'of', 'a', 'periodic', 'solution', 'of', 'the', 'reaction', 'equations', 'the', 'proof', 'employs', 'the', 'lerayschauder', 'degree', 'applied', 'to', 'an', 'appropriately', 'constructed', 'homotopy']] | [-0.20559395657619461, 0.08507783751974785, -0.10044174754996978, 0.03198822255944833, -0.033859419869259, -0.14535043059731834, 0.06136094040023939, 0.2859619858597095, -0.3104102759777258, -0.2466914967711394, 0.08564814743294846, -0.17686165667449436, -0.1226898543536663, 0.16464538205764256, -0.061096815896841385, 0.0595341352163814, 0.037139411394794784, 0.08090374321909621, -0.030991428822744638, -0.2439898878801614, 0.33651786573076, 0.04621965358577048, 0.2447240580353688, 0.07836835567529003, 0.17445070094739398, 0.02491931983968243, 0.003083152235679639, -0.038693968866330884, -0.20520192427405468, 0.08428924249407525, 0.22166016197297722, 0.10131173891325791, 0.23765520526406667, -0.44890487372564775, -0.14621199289831566, 0.10870227584382519, 0.10272382705200774, 0.14118559430486735, -0.0695761391252745, -0.2443926176832368, 0.07995439003570937, -0.0908605461472689, -0.1921766278295157, -0.0281102165269355, 0.022612332211186487, 0.10594337043585256, -0.3259755269391462, 0.02488149320318674, 0.088781659239127, 0.0722606081350629, -0.13138532786009213, -0.0297951133591899, -0.06886704103089869, 0.12063615211324456, 0.011472861626922773, 0.011436988081792757, 0.09927828460543726, -0.060480285746355854, -0.06467700239348535, 0.36531089708053816, -0.0940817372368959, -0.2401941876548032, 0.13742206590298642, -0.06090878804873986, -0.10995241549486916, 0.16854672784878252, 0.1507783243432641, 0.16390981012955308, -0.15009625731424117, 0.08680759828105995, -0.003128470949983845, 0.1895702457986772, 0.13481442471190044, -0.03255338994010041, 0.08471889811335132, 0.18012101212904477, 0.11203220802902554, 0.1714955890395989, -0.031471044931095093, -0.10129033029079437, -0.34804574720328674, -0.1553735473426059, -0.16045042080804706, 0.11739357165060937, -0.11290406786883977, -0.18719336163485423, 0.4323053239301468, 0.09941992994087438, 0.1801900583668612, 0.0485453300861991, 0.2309021595380424, 0.14546475774235054, 0.037459730713938676, 0.01775849195352445, 0.20697534087230451, 0.1986316539599405, 0.10625024298982073, -0.19877881917758108, 0.07569228147622198, 0.14092926963348873] |
708.387 | Image Decomposition of Barred Galaxies and AGN Hosts | I present the results of multi-component decomposition of V and R broadband
images of a sample of 17 nearby galaxies, most of them hosting bars and active
galactic nuclei. I use BUDDA v2.1 to produce the fits, allowing to include bars
and AGN in the models. A comparison with previous results from the literature
shows a fairly good agreement. It is found that the axial ratio of bars, as
measured from ellipse fits, can be severely underestimated if the galaxy
axisymmetric component is relatively luminous. Thus, reliable bar axial ratios
can only be determined by taking into account the contributions of bulge and
disc to the light distribution in the galaxy image. Through a number of tests,
I show that neglecting bars when modelling barred galaxies can result in a
overestimation of the bulge-to-total luminosity ratio of a factor of two.
Similar effects result when bright, type 1 AGN are not considered in the
models. By artificially redshifting the images, I show that the structural
parameters of more distant galaxies can in general be reliably retrieved
through image fitting, at least up to the point where the physical spatial
resolution is ~ 1.5 Kpc. This exercise shows that disc parameters are
particularly robust, but bulge parameters are prone to errors if its effective
radius is small compared to the seeing radius, and might suffer from systematic
effects. In this low resolution regime, the effects of ignoring bars are still
present, but AGN light is smeared out. I briefly discuss the consequences of
these results to studies of the structural properties of galaxies, in
particular on the stellar mass budget in the local universe. With reasonable
assumptions, it is possible to show that the stellar content in bars can be
similar to that in classical bulges and elliptical galaxies. (Abridged)
| astro-ph | i present the results of multicomponent decomposition of v and r broadband images of a sample of 17 nearby galaxies most of them hosting bars and active galactic nuclei i use budda v21 to produce the fits allowing to include bars and agn in the models a comparison with previous results from the literature shows a fairly good agreement it is found that the axial ratio of bars as measured from ellipse fits can be severely underestimated if the galaxy axisymmetric component is relatively luminous thus reliable bar axial ratios can only be determined by taking into account the contributions of bulge and disc to the light distribution in the galaxy image through a number of tests i show that neglecting bars when modelling barred galaxies can result in a overestimation of the bulgetototal luminosity ratio of a factor of two similar effects result when bright type 1 agn are not considered in the models by artificially redshifting the images i show that the structural parameters of more distant galaxies can in general be reliably retrieved through image fitting at least up to the point where the physical spatial resolution is 15 kpc this exercise shows that disc parameters are particularly robust but bulge parameters are prone to errors if its effective radius is small compared to the seeing radius and might suffer from systematic effects in this low resolution regime the effects of ignoring bars are still present but agn light is smeared out i briefly discuss the consequences of these results to studies of the structural properties of galaxies in particular on the stellar mass budget in the local universe with reasonable assumptions it is possible to show that the stellar content in bars can be similar to that in classical bulges and elliptical galaxies abridged | [['i', 'present', 'the', 'results', 'of', 'multicomponent', 'decomposition', 'of', 'v', 'and', 'r', 'broadband', 'images', 'of', 'a', 'sample', 'of', '17', 'nearby', 'galaxies', 'most', 'of', 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708.3871 | Hilbert's Fifth Problem for Local Groups | We solve Hilbert's fifth problem for local groups: every locally euclidean
local group is locally isomorphic to a Lie group. Jacoby claimed a proof of
this in 1957, but this proof is seriously flawed. We use methods from
nonstandard analysis and model our solution after a treatment of Hilbert's
fifth problem for global groups by Hirschfeld.
| math.DG math.LO | we solve hilberts fifth problem for local groups every locally euclidean local group is locally isomorphic to a lie group jacoby claimed a proof of this in 1957 but this proof is seriously flawed we use methods from nonstandard analysis and model our solution after a treatment of hilberts fifth problem for global groups by hirschfeld | [['we', 'solve', 'hilberts', 'fifth', 'problem', 'for', 'local', 'groups', 'every', 'locally', 'euclidean', 'local', 'group', 'is', 'locally', 'isomorphic', 'to', 'a', 'lie', 'group', 'jacoby', 'claimed', 'a', 'proof', 'of', 'this', 'in', '1957', 'but', 'this', 'proof', 'is', 'seriously', 'flawed', 'we', 'use', 'methods', 'from', 'nonstandard', 'analysis', 'and', 'model', 'our', 'solution', 'after', 'a', 'treatment', 'of', 'hilberts', 'fifth', 'problem', 'for', 'global', 'groups', 'by', 'hirschfeld']] | [-0.1423296342795116, -0.035499845914143534, -0.1616195677779615, 0.08412187648458971, -0.15011971606872976, -0.1274609934376453, 0.07519144666314657, 0.28992858053451137, -0.3150314636129354, -0.24766245051952346, 0.16938268072928103, -0.2408853319939226, -0.16999090426335378, 0.19839133668574505, -0.13773828876271313, -0.04766696241235228, 0.03570408191132758, 0.057823436301467676, -0.07447399573201048, -0.3387860245670059, 0.3632386408530043, -0.0020896011057110237, 0.2400326448717221, 0.017600440004441355, 0.1174735649089728, 0.057931570253068845, -0.06749352776179356, 0.020731630286068788, -0.09011871030920052, 0.12129839916763428, 0.27639577464599696, 0.11146566677572471, 0.3366592177210675, -0.35540639489928644, -0.16336455936211028, 0.18904870935200183, 0.12523919934340352, 0.1510683269173439, -0.04976079751525374, -0.29896064187466564, 0.09605841838388837, -0.18087680822437896, -0.17715518315422482, -0.03444235319537776, 0.06156387738883495, -0.07329630918268647, -0.20389128647886018, 0.10539151872009304, 0.09466071669677538, 0.0851182546466589, -0.1019510268025832, -0.042644759556943815, 0.043758062101135566, 0.05551557780043887, 0.022671206344966777, 0.0708728986127036, 0.058060952136916706, -0.055569981216519536, -0.11480318447242358, 0.45736774802207947, -0.01027820904606155, -0.17677667738462333, 0.13461696441351836, -0.09021942683362535, -0.19278909490926058, 0.09586817511756505, 0.10947789770684072, 0.17754810840623186, -0.1263116427996595, 0.17515696096130082, -0.14447574312466063, 0.14249100223449723, 0.07805388387558716, -0.09226991530574326, 0.13677149799851968, 0.1302865565355335, 0.14745446843361215, 0.061265302832388055, 0.08729926320354155, -0.004169107015643801, -0.3235260586786483, -0.1531568777281791, -0.1438007422672984, 0.09335213543922041, -0.06334946990552583, -0.14843383558452064, 0.34624086413532495, 0.11645958855349038, 0.06429744925948658, 0.08862381359462493, 0.24462049268186092, 0.058929442155723724, 0.07851873958238034, 0.08766354106981973, 0.2109557124287156, 0.17413750541995146, 0.03671140499812152, -0.11594201968234431, -0.0014403953266862249, 0.263473223384608] |
708.3872 | Commuting elements in conjugacy classes: An application of Hall's
Marriage Theorem | Let G be a finite group. Define a relation ~ on the conjugacy classes of G by
setting C ~ D if there are representatives c \in C and d \in D such that cd =
dc. In the case where G has a normal subgroup H such that G/H is cyclic, two
theorems are proved concerning the distribution, between cosets of H, of pairs
of conjugacy classes of G related by ~. One of the proofs involves an
interesting application of the famous Marriage Theorem of Philip Hall.
The paper concludes by discussing some aspects of these theorems and of the
relation ~ in the particular cases of symmetric and general linear groups, and
by mentioning an open question related to Frobenius groups.
| math.GR math.CO | let g be a finite group define a relation on the conjugacy classes of g by setting c d if there are representatives c in c and d in d such that cd dc in the case where g has a normal subgroup h such that gh is cyclic two theorems are proved concerning the distribution between cosets of h of pairs of conjugacy classes of g related by one of the proofs involves an interesting application of the famous marriage theorem of philip hall the paper concludes by discussing some aspects of these theorems and of the relation in the particular cases of symmetric and general linear groups and by mentioning an open question related to frobenius groups | [['let', 'g', 'be', 'a', 'finite', 'group', 'define', 'a', 'relation', 'on', 'the', 'conjugacy', 'classes', 'of', 'g', 'by', 'setting', 'c', 'd', 'if', 'there', 'are', 'representatives', 'c', 'in', 'c', 'and', 'd', 'in', 'd', 'such', 'that', 'cd', 'dc', 'in', 'the', 'case', 'where', 'g', 'has', 'a', 'normal', 'subgroup', 'h', 'such', 'that', 'gh', 'is', 'cyclic', 'two', 'theorems', 'are', 'proved', 'concerning', 'the', 'distribution', 'between', 'cosets', 'of', 'h', 'of', 'pairs', 'of', 'conjugacy', 'classes', 'of', 'g', 'related', 'by', 'one', 'of', 'the', 'proofs', 'involves', 'an', 'interesting', 'application', 'of', 'the', 'famous', 'marriage', 'theorem', 'of', 'philip', 'hall', 'the', 'paper', 'concludes', 'by', 'discussing', 'some', 'aspects', 'of', 'these', 'theorems', 'and', 'of', 'the', 'relation', 'in', 'the', 'particular', 'cases', 'of', 'symmetric', 'and', 'general', 'linear', 'groups', 'and', 'by', 'mentioning', 'an', 'open', 'question', 'related', 'to', 'frobenius', 'groups']] | [-0.1723109387509924, 0.12102309929841872, -0.05102791771793566, 0.02429915588650414, -0.05404475112563046, -0.17887491028082847, 0.05110986217046391, 0.32254380576616787, -0.30791098631120156, -0.2690863429466967, 0.10581647279914938, -0.27012587692432044, -0.1314909627989811, 0.2348819349681129, -0.12306892090797925, -0.04086253122512658, 0.04190245086029798, 0.10538522164658212, -0.06511593070037726, -0.27243080005801024, 0.3941061031934218, -0.0925549820120282, 0.20864378930922567, 0.05697988274217654, 0.03984262912432436, 0.012661330026237904, -0.06720114975948543, 0.020940411132632557, -0.14717659589449558, 0.10171561833752804, 0.28314953835821954, 0.10916435975530538, 0.2709745943053242, -0.3245195263073224, -0.13089167853394726, 0.17456167933194577, 0.09105395904483915, -0.017153598383820357, -0.03641471491066128, -0.26781487294097095, 0.12350158535429284, -0.13822219289933182, -0.1302654597469989, -0.01115798479838281, 0.16775396870871803, 0.020027440878711326, -0.21649938321695858, 0.04105905184772711, 0.16213319330875361, 0.0967203699465168, 0.01982049332704677, -0.1302332871842018, -0.03149307763767468, 0.09542066648508571, 0.048845037490720354, 0.025471850513566693, 0.04495019154078249, -0.10410037010657687, -0.15715459233322063, 0.41776809753740535, -0.059337205034406745, -0.1636536882078948, 0.15611082639059976, -0.15027538426768253, -0.17513014653016726, 0.026828966036971127, 0.0953382280647379, 0.16041190263290867, -0.0627207843344189, 0.20376923055575863, -0.163687744702236, 0.04597870452415605, 0.10756667866175916, -0.030356316676093342, 0.13613940681675213, 0.07094779829572917, 0.07595869102769633, 0.16338915979204027, 0.04646920862200694, 0.031167102805456193, -0.3607992615957721, -0.17445202210151098, -0.12836343466359026, 0.09682635099728819, -0.09532230884226102, -0.1421369111220188, 0.40386196117879464, 0.04031086164064893, 0.155065346665743, 0.032443479601559896, 0.15183023418722472, 0.06848833580039629, 0.03159709589285854, 0.10218370683538187, 0.11322295838040534, 0.2677189572988188, -0.06159410485215172, -0.18949820484844732, 0.02853375325026382, 0.15112333124143487] |
708.3873 | Radio Continuum and Star Formation in CO-rich Early Type Galaxies | In this paper we present new high resolution VLA 1.4 GHz radio continuum
observations of five FIR bright CO-rich early-type galaxies and two dwarf
early-type galaxies. The position on the radio-FIR correlation combined with
striking agreements in morphology between high resolution CO and radio maps
show that the radio continuum is associated with star formation in at least
four of the eight galaxies. The average star formation rate for the sample
galaxies detected in radio is approximately 2 solar masses per year. There is
no evidence of a luminous AGN in any of our sample galaxies. We estimate Toomre
Q values and find that the gas disks may well be gravitationally unstable,
consistent with the above evidence for star formation activity. The radio
continuum emission thus corroborates other recent suggestions that star
formation in early type galaxies may not be uncommon.
| astro-ph | in this paper we present new high resolution vla 14 ghz radio continuum observations of five fir bright corich earlytype galaxies and two dwarf earlytype galaxies the position on the radiofir correlation combined with striking agreements in morphology between high resolution co and radio maps show that the radio continuum is associated with star formation in at least four of the eight galaxies the average star formation rate for the sample galaxies detected in radio is approximately 2 solar masses per year there is no evidence of a luminous agn in any of our sample galaxies we estimate toomre q values and find that the gas disks may well be gravitationally unstable consistent with the above evidence for star formation activity the radio continuum emission thus corroborates other recent suggestions that star formation in early type galaxies may not be uncommon | [['in', 'this', 'paper', 'we', 'present', 'new', 'high', 'resolution', 'vla', '14', 'ghz', 'radio', 'continuum', 'observations', 'of', 'five', 'fir', 'bright', 'corich', 'earlytype', 'galaxies', 'and', 'two', 'dwarf', 'earlytype', 'galaxies', 'the', 'position', 'on', 'the', 'radiofir', 'correlation', 'combined', 'with', 'striking', 'agreements', 'in', 'morphology', 'between', 'high', 'resolution', 'co', 'and', 'radio', 'maps', 'show', 'that', 'the', 'radio', 'continuum', 'is', 'associated', 'with', 'star', 'formation', 'in', 'at', 'least', 'four', 'of', 'the', 'eight', 'galaxies', 'the', 'average', 'star', 'formation', 'rate', 'for', 'the', 'sample', 'galaxies', 'detected', 'in', 'radio', 'is', 'approximately', '2', 'solar', 'masses', 'per', 'year', 'there', 'is', 'no', 'evidence', 'of', 'a', 'luminous', 'agn', 'in', 'any', 'of', 'our', 'sample', 'galaxies', 'we', 'estimate', 'toomre', 'q', 'values', 'and', 'find', 'that', 'the', 'gas', 'disks', 'may', 'well', 'be', 'gravitationally', 'unstable', 'consistent', 'with', 'the', 'above', 'evidence', 'for', 'star', 'formation', 'activity', 'the', 'radio', 'continuum', 'emission', 'thus', 'corroborates', 'other', 'recent', 'suggestions', 'that', 'star', 'formation', 'in', 'early', 'type', 'galaxies', 'may', 'not', 'be', 'uncommon']] | [-0.07097684464116864, 0.07537658472301055, -0.024128662531283943, 0.11867058916341064, -0.08982245647843848, -0.044548321148737316, 0.035047139357346116, 0.4922602675749478, -0.05320736506610369, -0.33576968391524986, 0.057201053701169416, -0.2897185206888838, -0.04228445559167072, 0.16016463227860578, -0.010166978118412778, -0.07606830518494165, 0.060382301433685615, -0.12621160296736456, -0.0353988737374848, -0.278646143157438, 0.2858696409678855, 0.08096019734945545, 0.1754745323977149, -0.04524417845069939, 0.040622345267643106, -0.1572586848493005, -0.10111882236409694, -0.0427127982744062, -0.1496768413261318, 2.2910087838346232e-05, 0.27476888068733696, 0.13602481419815027, 0.22118394796782775, -0.3465170654601786, -0.20773662452368027, 0.07077314318587066, 0.21751937721294504, 0.017020858361894358, -0.09539749108585992, -0.23252095695558592, 0.10188590161541992, -0.1786706910405889, -0.17419348669515805, 0.12412888375077899, 0.05872089867909432, 0.040703145555940505, -0.205899773849214, 0.19997650037473397, 0.020734326808270833, 0.11314251913246534, -0.15290991463929626, -0.07763931486451774, -0.08247405188224206, 0.05050287890769806, -0.017880194181417848, 0.12046423535926122, 0.18993575195369067, -0.14901147088438854, -0.0677371921396735, 0.3826235493030795, -0.06250139603272398, 0.050695146308511706, 0.3007867059254266, -0.29008754951456656, -0.2681207937512098, 0.1639116466811574, 0.12173934174075736, 0.0821660114518294, -0.11707692020671799, -0.06875684487605335, -0.046120275763121055, 0.27253460874847063, 0.049269325516008315, 0.094161018873697, 0.3775855038209376, 0.10158416945883568, 0.06692428440218857, 0.08909513380796259, -0.2332074591144424, 0.004486852647498884, -0.24028816994061655, -0.0718676621252869, -0.14547464419288417, 0.12873470593842015, -0.16127138162423535, -0.04846050226004094, 0.32491066905253746, 0.05754283773927481, 0.22934072245414375, 0.09539685977609656, 0.30623372426216905, 0.07217649330058076, 0.12830759675724182, 0.16035795586797943, 0.32368813642029853, 0.1557924590331126, 0.07098698504566353, -0.2494273951825362, 0.05012215564443551, -0.03036982619950006] |
708.3874 | Detecting dark energy with wavelets on the sphere | Dark energy dominates the energy density of our Universe, yet we know very
little about its nature and origin. Although strong evidence in support of dark
energy is provided by the cosmic microwave background, the relic radiation of
the Big Bang, in conjunction with either observations of supernovae or of the
large scale structure of the Universe, the verification of dark energy by
independent physical phenomena is of considerable interest. We review works
that, through a wavelet analysis on the sphere, independently verify the
existence of dark energy by detecting the integrated Sachs-Wolfe effect. The
effectiveness of a wavelet analysis on the sphere is demonstrated by the highly
statistically significant detections of dark energy that are made. Moreover,
the detection is used to constrain properties of dark energy. A coherent
picture of dark energy is obtained, adding further support to the now well
established cosmological concordance model that describes our Universe.
| astro-ph | dark energy dominates the energy density of our universe yet we know very little about its nature and origin although strong evidence in support of dark energy is provided by the cosmic microwave background the relic radiation of the big bang in conjunction with either observations of supernovae or of the large scale structure of the universe the verification of dark energy by independent physical phenomena is of considerable interest we review works that through a wavelet analysis on the sphere independently verify the existence of dark energy by detecting the integrated sachswolfe effect the effectiveness of a wavelet analysis on the sphere is demonstrated by the highly statistically significant detections of dark energy that are made moreover the detection is used to constrain properties of dark energy a coherent picture of dark energy is obtained adding further support to the now well established cosmological concordance model that describes our universe | [['dark', 'energy', 'dominates', 'the', 'energy', 'density', 'of', 'our', 'universe', 'yet', 'we', 'know', 'very', 'little', 'about', 'its', 'nature', 'and', 'origin', 'although', 'strong', 'evidence', 'in', 'support', 'of', 'dark', 'energy', 'is', 'provided', 'by', 'the', 'cosmic', 'microwave', 'background', 'the', 'relic', 'radiation', 'of', 'the', 'big', 'bang', 'in', 'conjunction', 'with', 'either', 'observations', 'of', 'supernovae', 'or', 'of', 'the', 'large', 'scale', 'structure', 'of', 'the', 'universe', 'the', 'verification', 'of', 'dark', 'energy', 'by', 'independent', 'physical', 'phenomena', 'is', 'of', 'considerable', 'interest', 'we', 'review', 'works', 'that', 'through', 'a', 'wavelet', 'analysis', 'on', 'the', 'sphere', 'independently', 'verify', 'the', 'existence', 'of', 'dark', 'energy', 'by', 'detecting', 'the', 'integrated', 'sachswolfe', 'effect', 'the', 'effectiveness', 'of', 'a', 'wavelet', 'analysis', 'on', 'the', 'sphere', 'is', 'demonstrated', 'by', 'the', 'highly', 'statistically', 'significant', 'detections', 'of', 'dark', 'energy', 'that', 'are', 'made', 'moreover', 'the', 'detection', 'is', 'used', 'to', 'constrain', 'properties', 'of', 'dark', 'energy', 'a', 'coherent', 'picture', 'of', 'dark', 'energy', 'is', 'obtained', 'adding', 'further', 'support', 'to', 'the', 'now', 'well', 'established', 'cosmological', 'concordance', 'model', 'that', 'describes', 'our', 'universe']] | [-0.12821268560580712, 0.08885295369002401, -0.12892979049796102, 0.12622600657609445, -0.0972324979448358, -0.04308628874818566, -0.0026762617801297578, 0.32549378739682255, -0.2084920103291654, -0.3578885986858251, 0.08643224141683849, -0.2639772805157087, -0.049425609158475374, 0.20324157291579226, 0.02151975744177043, 0.004840166597482163, 0.044057684339928314, 0.006594080770918668, 0.01982734317965312, -0.24162723916730788, 0.32834104922852964, 0.15986139512318648, 0.271526372567473, 0.066558139953016, 0.09700408548622436, -0.04322648027122317, -0.11421838701573132, 0.00022657773155250298, -0.14933219767981848, 0.08890138476291387, 0.19715117085848424, 0.14924879035859837, 0.23181211743318778, -0.4251467723843475, -0.27798632282566355, 0.15932446087954183, 0.13155934959283833, 0.08962811533028618, -0.11233192342271818, -0.3126077919779037, 0.06972646452420983, -0.15463098567534264, -0.1307591281103476, -0.05081559904999044, -0.018255761047418148, 0.004639265818262337, -0.17217783378753257, 0.12668184874523802, 0.010216582170996, -0.03283143471864774, -0.09433940716707671, -0.08117228657599317, -0.04017831038510957, 0.026165545389167225, 0.09854791223978167, -0.008476496252403995, 0.16134716685713324, -0.17346095930883623, -0.0866166753817769, 0.4011189616316103, -0.1317994116453935, -0.10343399148014996, 0.1889813354559588, -0.13474081738525076, -0.1323666117702987, 0.14839623218852507, 0.11651321605159377, 0.028110041603791398, -0.14081078343477335, 0.12530366575232837, -0.019993189420853277, 0.22742720757031332, 0.050811720825423366, 0.050141357702653336, 0.31249299270427777, 0.19151951761342684, 0.04227448558891254, 0.06309426611055009, -0.09938182187149462, -0.05123653490750107, -0.333128714921656, -0.14779831256273368, -0.23243250865920984, 0.04467686200329405, -0.09088495706463624, -0.14514821168306646, 0.39044116971866283, 0.12469384806625397, 0.1943013885332925, -0.00041331860872096575, 0.3374862677929615, 0.069237262468526, 0.032438857298936474, 0.05595256734195332, 0.3300725535384768, 0.1438580709848775, 0.10703243803393268, -0.21396417669382944, 0.03776472324924852, -0.029796968218839624] |
708.3875 | The effect of non-Gaussian curvature perturbations on the formation of
primordial black holes | This paper explores the consequences of non-Gaussian cosmological
perturbations for the formation of primordial black holes (PBHs). A
non-Gaussian probability distribution function (PDF) of curvature perturbations
is presented with an explicit contribution from the three-point correlation
function to linear order. The consequences of this non-Gaussian PDF for the
large perturbations that form PBHs are then studied. Using the observational
limits for the non-Gaussian parameter $f_{NL}$, new bounds to the mean
amplitude of curvature perturbations are derived in the range of scales
relevant for PBH formation.
| astro-ph gr-qc | this paper explores the consequences of nongaussian cosmological perturbations for the formation of primordial black holes pbhs a nongaussian probability distribution function pdf of curvature perturbations is presented with an explicit contribution from the threepoint correlation function to linear order the consequences of this nongaussian pdf for the large perturbations that form pbhs are then studied using the observational limits for the nongaussian parameter f_nl new bounds to the mean amplitude of curvature perturbations are derived in the range of scales relevant for pbh formation | [['this', 'paper', 'explores', 'the', 'consequences', 'of', 'nongaussian', 'cosmological', 'perturbations', 'for', 'the', 'formation', 'of', 'primordial', 'black', 'holes', 'pbhs', 'a', 'nongaussian', 'probability', 'distribution', 'function', 'pdf', 'of', 'curvature', 'perturbations', 'is', 'presented', 'with', 'an', 'explicit', 'contribution', 'from', 'the', 'threepoint', 'correlation', 'function', 'to', 'linear', 'order', 'the', 'consequences', 'of', 'this', 'nongaussian', 'pdf', 'for', 'the', 'large', 'perturbations', 'that', 'form', 'pbhs', 'are', 'then', 'studied', 'using', 'the', 'observational', 'limits', 'for', 'the', 'nongaussian', 'parameter', 'f_nl', 'new', 'bounds', 'to', 'the', 'mean', 'amplitude', 'of', 'curvature', 'perturbations', 'are', 'derived', 'in', 'the', 'range', 'of', 'scales', 'relevant', 'for', 'pbh', 'formation']] | [-0.16528349222944064, 0.1466923048351686, -0.09919087454019224, 0.18877616608378422, -0.05861252576989286, -0.011143780127167702, -0.07336230880498668, 0.24191796768675833, -0.21085288857712464, -0.27318949057337116, 0.07239223505945548, -0.2691553198403734, -0.11969525807482355, 0.19541630098486648, 0.01623247534255771, 0.12670710902551519, -0.010193794012507971, -0.016118437229820034, -0.05595862913383719, -0.2801684408722555, 0.4184261731803417, 0.13507977329632814, 0.20478042487452244, 0.012341073395081741, 0.045306932027725615, -0.07456082670456346, -0.05821544902727884, 0.003429312269915553, -0.23974389886142863, 0.06547981223420185, 0.1983953148667591, 0.15268403347581624, 0.23795235677457907, -0.3739905157729107, -0.25772918508771586, 0.14883547700284158, 0.11838622367119088, 0.17457530040513067, -0.0715407542007811, -0.3083260757739053, 0.07695141607785926, -0.20405304710216382, -0.11397849844001672, -0.059721090107717936, 0.08672019407591398, 0.024798926004372977, -0.3289453191518345, 0.19496589271516046, 0.016258828237871913, -0.07129947867463617, -0.03772447330000646, -0.11746053615694536, -0.047104968689382076, 0.06524429474135532, 0.11566819241544342, -0.027106830603717005, 0.19310263893293106, -0.1700956745127983, -0.019577741781112684, 0.3291239406694384, -0.14453675781568404, -0.17965091774787972, 0.05002992010456236, -0.21808819525382098, -0.2079422528115923, 0.09644483680672505, 0.2118994570172885, 0.1183261685182943, -0.13613889727412778, 0.12866762663949938, 0.07409469857264091, 0.19377988524296705, 0.10567117365186705, 0.09114640177611043, 0.3038819292888922, 0.09121184644891936, 0.08466362356043913, 0.13336401322089575, -0.09647112981799771, -0.07104329669519382, -0.37115304495810586, -0.05783789694747504, -0.21800701692700386, 0.06791625975028556, -0.20360172865364481, -0.22169227416983203, 0.4190248191000565, 0.15437754736117582, 0.2249411007115508, 0.1438616948599434, 0.2917169982590113, 0.14440887151080567, -0.013335460643557942, 0.050712024442413274, 0.2827044802443946, 0.175237755143248, 0.05656914319843054, -0.17136064376408125, 0.07877736465238473, -0.02100964701898834] |
708.3876 | X-ray Anomalous Scattering of Diluted Magnetic Oxide Semiconductors:
Possible Evidence of Lattice Deformation for High Temperature Ferromagnetism | We have examined whether the Co ions crystallographically substitute on the
Ti sites in rutile and anatase Ti_{1-x}$Co$_{x}$O$_{2-delta}$ thin films that
exhibit room-temperature ferromagnetism. Intensities of the x-ray Bragg
reflection from the films were measured around the $K$-absorption-edge of Co.
If the Co ions randomly substitute on the Ti sites, the intensity should
exhibit an anomaly due to the anomalous dispersion of the atomic scattering
factor of Co. However, none of the anatase and rutile samples did exhibit an
anomaly, unambiguously showing that the Co ions in
Ti$_{1-x}$Co$_{x}$O$_{2-delta}$ are not exactly located at the Ti sites of
TiO$_2$. The absence of the anomaly is probably caused by a significant
deformation of the local structure around Co due to the oxygen vacancy. We have
applied the same method to paramagnetic Zn$_{1-x}$Co$_{x}$O thin films and
obtained direct evidence that the Co ions are indeed substituted on the Zn
sites.
| cond-mat.mtrl-sci cond-mat.str-el | we have examined whether the co ions crystallographically substitute on the ti sites in rutile and anatase ti_1xco_xo_2delta thin films that exhibit roomtemperature ferromagnetism intensities of the xray bragg reflection from the films were measured around the kabsorptionedge of co if the co ions randomly substitute on the ti sites the intensity should exhibit an anomaly due to the anomalous dispersion of the atomic scattering factor of co however none of the anatase and rutile samples did exhibit an anomaly unambiguously showing that the co ions in ti_1xco_xo_2delta are not exactly located at the ti sites of tio_2 the absence of the anomaly is probably caused by a significant deformation of the local structure around co due to the oxygen vacancy we have applied the same method to paramagnetic zn_1xco_xo thin films and obtained direct evidence that the co ions are indeed substituted on the zn sites | [['we', 'have', 'examined', 'whether', 'the', 'co', 'ions', 'crystallographically', 'substitute', 'on', 'the', 'ti', 'sites', 'in', 'rutile', 'and', 'anatase', 'ti_1xco_xo_2delta', 'thin', 'films', 'that', 'exhibit', 'roomtemperature', 'ferromagnetism', 'intensities', 'of', 'the', 'xray', 'bragg', 'reflection', 'from', 'the', 'films', 'were', 'measured', 'around', 'the', 'kabsorptionedge', 'of', 'co', 'if', 'the', 'co', 'ions', 'randomly', 'substitute', 'on', 'the', 'ti', 'sites', 'the', 'intensity', 'should', 'exhibit', 'an', 'anomaly', 'due', 'to', 'the', 'anomalous', 'dispersion', 'of', 'the', 'atomic', 'scattering', 'factor', 'of', 'co', 'however', 'none', 'of', 'the', 'anatase', 'and', 'rutile', 'samples', 'did', 'exhibit', 'an', 'anomaly', 'unambiguously', 'showing', 'that', 'the', 'co', 'ions', 'in', 'ti_1xco_xo_2delta', 'are', 'not', 'exactly', 'located', 'at', 'the', 'ti', 'sites', 'of', 'tio_2', 'the', 'absence', 'of', 'the', 'anomaly', 'is', 'probably', 'caused', 'by', 'a', 'significant', 'deformation', 'of', 'the', 'local', 'structure', 'around', 'co', 'due', 'to', 'the', 'oxygen', 'vacancy', 'we', 'have', 'applied', 'the', 'same', 'method', 'to', 'paramagnetic', 'zn_1xco_xo', 'thin', 'films', 'and', 'obtained', 'direct', 'evidence', 'that', 'the', 'co', 'ions', 'are', 'indeed', 'substituted', 'on', 'the', 'zn', 'sites']] | [-0.06477814491149293, 0.14198262088996683, 0.060122260282833566, 0.016299663815640984, 0.04909151993781226, -0.12702607584811032, 0.11265596063099546, 0.49450445277233646, -0.2292440252710287, -0.2854113136099218, -0.0005212598241074648, -0.3697937251617239, -0.05154370484325065, 0.11873443490404585, 0.05642277324470143, -0.06957460659849521, -0.033392025536956416, -0.09002376385734812, -0.10025883253108812, -0.2493315378270967, 0.27429186497904257, 0.07323088601856709, 0.30861463851282656, 0.108039187133864, 0.0005203732209637352, -0.08895414737244584, 0.11407162394926386, 0.024130287290748516, -0.11581028771680606, 0.06834394106767396, 0.2332422730500159, -0.09134479808901781, 0.12429471886940045, -0.49966843544875517, -0.1870344858170066, 0.019051867179980832, 0.12620520465712268, 0.1316026217712421, -0.09501296438177895, -0.2788896545040587, 0.066051382842563, -0.04149559747478734, -0.12428868501702298, -0.029286272527190717, -0.009508472455869594, 0.012540608021743239, -0.21688841024935182, 0.087286583230869, 0.09149895700600559, 0.12776111362961262, -0.14866740307579301, -0.15993093564621594, -0.16232216405580702, 0.03420037849908312, 0.07404612939747382, 0.03685295047742404, 0.21438711471472904, -0.010493303838900405, -0.06817506008768735, 0.4026470412117467, -0.05921050426167474, -0.03285728027798516, 0.20929996693532352, -0.2277525799533939, -0.11672121420349568, 0.24816332222759876, 0.056183451710090246, 0.11895042801377913, -0.129893102284843, 0.05653757945361726, -0.03629415390107219, 0.23334405469159558, 0.10549331236668952, 0.049391625701028806, 0.25389606746436694, 0.11570869242670397, 0.010715505787592432, 0.08217692986841964, -0.20325137115217592, 0.03265703324075431, -0.167316838964973, -0.2332490754556166, -0.2185314096548684, 0.04484212296316799, -0.09251265810140367, -0.19718268507938475, 0.2897617056079158, 0.09863876400847141, 0.1803047199516672, -0.14397050831339334, 0.19826864373347122, 0.06950048451018456, 0.10874289107087949, 0.019311643715896835, 0.2871392494871294, 0.1504900892367204, 0.14127407478671344, -0.290444481060585, 0.18895971165867906, 0.022987796690981607] |
708.3877 | A Null Test of the Cosmological Constant | We provide a consistency relation between cosmological observables in general
relativity with the cosmological constant. Breaking of this relation at any
redshift would imply the breakdown of the hypothesis of the cosmological
constant as an explanation of the current acceleration of the universe.
| astro-ph gr-qc hep-ph | we provide a consistency relation between cosmological observables in general relativity with the cosmological constant breaking of this relation at any redshift would imply the breakdown of the hypothesis of the cosmological constant as an explanation of the current acceleration of the universe | [['we', 'provide', 'a', 'consistency', 'relation', 'between', 'cosmological', 'observables', 'in', 'general', 'relativity', 'with', 'the', 'cosmological', 'constant', 'breaking', 'of', 'this', 'relation', 'at', 'any', 'redshift', 'would', 'imply', 'the', 'breakdown', 'of', 'the', 'hypothesis', 'of', 'the', 'cosmological', 'constant', 'as', 'an', 'explanation', 'of', 'the', 'current', 'acceleration', 'of', 'the', 'universe']] | [-0.1817921146447229, 0.09168307740156008, -0.127853553926269, 0.12065878647736945, -0.10497269056044346, -0.10063901975707606, 0.006106074639531069, 0.2929631535635265, -0.21720543564405553, -0.32358481284490853, 0.039273893447094706, -0.18582938191329323, -0.02455924304072247, 0.16823456289116726, 0.028086792915886224, -0.0010629816327330677, -0.01809510259434234, 0.016682827602232653, -0.10193882678699041, -0.23722193831967753, 0.35706916901954383, 0.15779978126763952, 0.23310857034439958, 0.03945795740109197, 0.126003457861411, -0.08662201927671599, -0.052634985077866285, 0.045813364193363244, -0.2108459193042891, 0.023999560559385045, 0.15167060700180227, 0.1988394156011731, 0.2510778857178466, -0.38056149091138397, -0.22063679837210234, 0.13313668446485385, 0.09525159863365251, 0.19684126830204976, -0.08384470583134612, -0.23991546870837377, 0.03136633254241112, -0.16596634125033782, -0.1629272560740626, 0.016944109505518924, -0.0070261081117530206, -0.029831515755071196, -0.238776276104672, 0.2201056720169131, 0.0330647706638935, 0.018476201892765456, -0.09674859564578117, -0.007109843145752716, 0.047268291058148754, 0.08673857335477721, 0.1632310625945413, 0.047976121241443376, 0.08600880124411264, -0.1742028247857423, -0.12943288514953713, 0.4655046196177948, -0.12461061954909805, -0.13688184409727192, 0.14719921246517537, -0.2228158589149284, -0.1905535599000232, 0.000991563534710643, 0.079465921881587, 0.03210926586545484, -0.10503060773534831, 0.1407150458977666, -0.014255815727073093, 0.16976957352355468, 0.07218105863606514, 0.04617670201831822, 0.36160534161121344, 0.1315282408884445, 0.06279986093990332, 0.00539302063542743, -0.019832142282190712, -0.024279178390929173, -0.4896207725585893, -0.17754033363835756, -0.13783582993025004, 0.12817788721863613, -0.2446650339853625, -0.18023990028602785, 0.33112587532851584, 0.16817136470574973, 0.22310005937334756, 0.1425325956498814, 0.25442940294525995, 0.08752836106983988, 0.032983812230076036, 0.04779992243924806, 0.3615998204710872, 0.14032940332626187, 0.08314229389869196, -0.27200156978743023, 0.07799564786038773, 0.03391602776164925] |
708.3878 | Two energy scales and close relationship between the pseudogap and
superconductivity in underdoped cuprate superconductors | By measuring the low temperature specific heat, the low energy quasi-particle
excitation has been derived and analyzed in systematically doped
La$_{2-x}$Sr$_{x}$CuO$_{4}$ single crystals. The Volovik's relation predicted
for a d-wave superconductor has been well demonstrated in wide doping regime,
showing a robust evidence for the d-wave pairing symmetry. Furthermore the
nodal gap slope $v_\Delta$ of the superconducting gap is derived and is found
to follow the same doping dependence of the pseudogap obtained from ARPES and
tunnelling measurement. This strongly suggests a close relationship between the
pseudogap and superconductivity. Taking the entropy conservation into account,
we argue that the ground state of the pseudogap phase should have Fermi arcs
with finite density of states at zero K, and the transport data show that it
behaves like an insulator due to probably weak localization. A nodal metal
picture for the pseudogap phase cannot interpret the data. Based on the Fermi
arc picture for the pseudogap phase it is found that the superconducting energy
scale or $T_c$ in underdoped regime is governed by both the maximum gap and the
spectral weight from the Fermi arcs. This suggests that there are two energy
scales: superconducting energy scale and the pseudogap. The superconductivity
may be formed by the condensation of Fermi arc quasiparticles through pairing
by exchanging virtue bosons.
| cond-mat.supr-con cond-mat.str-el | by measuring the low temperature specific heat the low energy quasiparticle excitation has been derived and analyzed in systematically doped la_2xsr_xcuo_4 single crystals the voloviks relation predicted for a dwave superconductor has been well demonstrated in wide doping regime showing a robust evidence for the dwave pairing symmetry furthermore the nodal gap slope v_delta of the superconducting gap is derived and is found to follow the same doping dependence of the pseudogap obtained from arpes and tunnelling measurement this strongly suggests a close relationship between the pseudogap and superconductivity taking the entropy conservation into account we argue that the ground state of the pseudogap phase should have fermi arcs with finite density of states at zero k and the transport data show that it behaves like an insulator due to probably weak localization a nodal metal picture for the pseudogap phase cannot interpret the data based on the fermi arc picture for the pseudogap phase it is found that the superconducting energy scale or t_c in underdoped regime is governed by both the maximum gap and the spectral weight from the fermi arcs this suggests that there are two energy scales superconducting energy scale and the pseudogap the superconductivity may be formed by the condensation of fermi arc quasiparticles through pairing by exchanging virtue bosons | [['by', 'measuring', 'the', 'low', 'temperature', 'specific', 'heat', 'the', 'low', 'energy', 'quasiparticle', 'excitation', 'has', 'been', 'derived', 'and', 'analyzed', 'in', 'systematically', 'doped', 'la_2xsr_xcuo_4', 'single', 'crystals', 'the', 'voloviks', 'relation', 'predicted', 'for', 'a', 'dwave', 'superconductor', 'has', 'been', 'well', 'demonstrated', 'in', 'wide', 'doping', 'regime', 'showing', 'a', 'robust', 'evidence', 'for', 'the', 'dwave', 'pairing', 'symmetry', 'furthermore', 'the', 'nodal', 'gap', 'slope', 'v_delta', 'of', 'the', 'superconducting', 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708.3879 | Graph Annotations in Modeling Complex Network Topologies | The coarsest approximation of the structure of a complex network, such as the
Internet, is a simple undirected unweighted graph. This approximation, however,
loses too much detail. In reality, objects represented by vertices and edges in
such a graph possess some non-trivial internal structure that varies across and
differentiates among distinct types of links or nodes. In this work, we
abstract such additional information as network annotations. We introduce a
network topology modeling framework that treats annotations as an extended
correlation profile of a network. Assuming we have this profile measured for a
given network, we present an algorithm to rescale it in order to construct
networks of varying size that still reproduce the original measured annotation
profile.
Using this methodology, we accurately capture the network properties
essential for realistic simulations of network applications and protocols, or
any other simulations involving complex network topologies, including modeling
and simulation of network evolution. We apply our approach to the Autonomous
System (AS) topology of the Internet annotated with business relationships
between ASs. This topology captures the large-scale structure of the Internet.
In depth understanding of this structure and tools to model it are cornerstones
of research on future Internet architectures and designs. We find that our
techniques are able to accurately capture the structure of annotation
correlations within this topology, thus reproducing a number of its important
properties in synthetically-generated random graphs.
| cs.NI cond-mat.dis-nn physics.data-an physics.soc-ph | the coarsest approximation of the structure of a complex network such as the internet is a simple undirected unweighted graph this approximation however loses too much detail in reality objects represented by vertices and edges in such a graph possess some nontrivial internal structure that varies across and differentiates among distinct types of links or nodes in this work we abstract such additional information as network annotations we introduce a network topology modeling framework that treats annotations as an extended correlation profile of a network assuming we have this profile measured for a given network we present an algorithm to rescale it in order to construct networks of varying size that still reproduce the original measured annotation profile using this methodology we accurately capture the network properties essential for realistic simulations of network applications and protocols or any other simulations involving complex network topologies including modeling and simulation of network evolution we apply our approach to the autonomous system as topology of the internet annotated with business relationships between ass this topology captures the largescale structure of the internet in depth understanding of this structure and tools to model it are cornerstones of research on future internet architectures and designs we find that our techniques are able to accurately capture the structure of annotation correlations within this topology thus reproducing a number of its important properties in syntheticallygenerated random graphs | [['the', 'coarsest', 'approximation', 'of', 'the', 'structure', 'of', 'a', 'complex', 'network', 'such', 'as', 'the', 'internet', 'is', 'a', 'simple', 'undirected', 'unweighted', 'graph', 'this', 'approximation', 'however', 'loses', 'too', 'much', 'detail', 'in', 'reality', 'objects', 'represented', 'by', 'vertices', 'and', 'edges', 'in', 'such', 'a', 'graph', 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708.388 | Generically finite morphisms and formal neighborhoods of arcs | We show that given a dominant morphism between two smooth varieties of the
same dimension, the induced morphism between the formal neighborhoods of two
arcs on these varieties is a closed embedding, of codimension given by the
order of vanishing along the ramification subscheme.
| math.AG math.AC | we show that given a dominant morphism between two smooth varieties of the same dimension the induced morphism between the formal neighborhoods of two arcs on these varieties is a closed embedding of codimension given by the order of vanishing along the ramification subscheme | [['we', 'show', 'that', 'given', 'a', 'dominant', 'morphism', 'between', 'two', 'smooth', 'varieties', 'of', 'the', 'same', 'dimension', 'the', 'induced', 'morphism', 'between', 'the', 'formal', 'neighborhoods', 'of', 'two', 'arcs', 'on', 'these', 'varieties', 'is', 'a', 'closed', 'embedding', 'of', 'codimension', 'given', 'by', 'the', 'order', 'of', 'vanishing', 'along', 'the', 'ramification', 'subscheme']] | [-0.2795793970792808, 0.04468478891067207, -0.06323416741691869, 0.046986327646829355, -0.05928881698161025, -0.13460587299513546, 0.0036829237572171473, 0.32407201013781806, -0.3930287652394988, -0.15804291050881147, 0.005913113508458165, -0.2543424549512565, -0.11021929394072769, 0.17591395829698409, -0.1577060779302635, -0.06756557841700586, 0.03031277640680359, 0.09499434707686305, -0.11190946924563666, -0.3308441719167273, 0.53879301935773, -0.1133082379502329, 0.2716191883876242, 0.09100118952549317, 0.1670973100276156, -0.03383620613550937, 0.022983628557994962, 0.028487239117649468, -0.12863490853901152, 0.18379044136963785, 0.3329084832644598, 0.05122139137132432, 0.20386653613637795, -0.3818676947108047, -0.12908596079796553, 0.24238214510577646, 0.1377813465554606, 0.004014770161699165, 0.014339712414022704, -0.24429914308711886, 0.11393199547786605, -0.11231248195029118, -0.17549235990736634, -0.04601954637010666, 0.056610844606025654, 0.05544697027653456, -0.18354129167908634, -0.07995033681138673, 0.15419760761274534, 0.1938959582158449, -0.056881419721652164, -0.05530235431665047, -0.15086852591114372, 0.08563206623975103, -0.006422089587431401, 0.09850295145191591, 0.06161422446497123, -0.1254633789278821, -0.10314547422934663, 0.31348023329734465, -0.08363584248317321, -0.21497515025971967, 0.1548296956091442, -0.15773228796156633, -0.09926474136723713, 0.14061339167264206, 0.055383783892135725, 0.1220294235443527, -0.00817377277946269, 0.15617137918756765, -0.07094657167114994, 0.04437710031528364, 0.1654043514916504, -0.06755263846240599, 0.180726187388328, 0.10621291147121652, 0.09270819695666432, 0.10416466073895042, -0.05974715992025184, -0.04592763069509105, -0.4414478884163228, -0.16630321279676122, -0.09728396963328123, 0.16409059954722496, -0.19338237060318617, -0.18284293065186252, 0.45491212784228, 0.031481581962328746, 0.2966206678274003, 0.09471371137029068, 0.2913079642775384, 0.030021366515112193, 0.011594138785519383, 0.06303619566923854, 0.12488661922345107, 0.18551211628999392, -0.12922257429454476, -0.14422759495739063, 0.04490523457802324, 0.24333282001316547] |
708.3881 | Radiation Testing of Consumer High-Speed LSI Chips for the Next Space
VLBI Mission, VSOP-2 | We performed two types of radiation testing on high-speed LSI chips to test
their suitability for use in wideband observations by the Japanese next space
VLBI mission, VSOP-2. In the total ionization dose experiment we monitored
autocorrelation spectra which were taken with irradiated LSI chips and the
source current at intervals up to 1,000 hours from the ionization dose, but we
could not see any change of these features for the chips irradiated with dose
rates expected in the VSOP-2 mission. In the single event effect experiment, we
monitored the cross correlation phase and power spectra between the data from
radiated and non-radiated devices, and the source current during the
irradiation of heavy-ions. We observed a few tens of single event upsets as
discrete delay jumps for each LSI. We estimated the occurrence rate of single
events in space as between once a few days to once a month. No single event
latch-up was seen in any of the LSIs. These results show that the tested LSIs
have sufficient tolerance to the environment for space VLBI observations.
| astro-ph | we performed two types of radiation testing on highspeed lsi chips to test their suitability for use in wideband observations by the japanese next space vlbi mission vsop2 in the total ionization dose experiment we monitored autocorrelation spectra which were taken with irradiated lsi chips and the source current at intervals up to 1000 hours from the ionization dose but we could not see any change of these features for the chips irradiated with dose rates expected in the vsop2 mission in the single event effect experiment we monitored the cross correlation phase and power spectra between the data from radiated and nonradiated devices and the source current during the irradiation of heavyions we observed a few tens of single event upsets as discrete delay jumps for each lsi we estimated the occurrence rate of single events in space as between once a few days to once a month no single event latchup was seen in any of the lsis these results show that the tested lsis have sufficient tolerance to the environment for space vlbi observations | [['we', 'performed', 'two', 'types', 'of', 'radiation', 'testing', 'on', 'highspeed', 'lsi', 'chips', 'to', 'test', 'their', 'suitability', 'for', 'use', 'in', 'wideband', 'observations', 'by', 'the', 'japanese', 'next', 'space', 'vlbi', 'mission', 'vsop2', 'in', 'the', 'total', 'ionization', 'dose', 'experiment', 'we', 'monitored', 'autocorrelation', 'spectra', 'which', 'were', 'taken', 'with', 'irradiated', 'lsi', 'chips', 'and', 'the', 'source', 'current', 'at', 'intervals', 'up', 'to', '1000', 'hours', 'from', 'the', 'ionization', 'dose', 'but', 'we', 'could', 'not', 'see', 'any', 'change', 'of', 'these', 'features', 'for', 'the', 'chips', 'irradiated', 'with', 'dose', 'rates', 'expected', 'in', 'the', 'vsop2', 'mission', 'in', 'the', 'single', 'event', 'effect', 'experiment', 'we', 'monitored', 'the', 'cross', 'correlation', 'phase', 'and', 'power', 'spectra', 'between', 'the', 'data', 'from', 'radiated', 'and', 'nonradiated', 'devices', 'and', 'the', 'source', 'current', 'during', 'the', 'irradiation', 'of', 'heavyions', 'we', 'observed', 'a', 'few', 'tens', 'of', 'single', 'event', 'upsets', 'as', 'discrete', 'delay', 'jumps', 'for', 'each', 'lsi', 'we', 'estimated', 'the', 'occurrence', 'rate', 'of', 'single', 'events', 'in', 'space', 'as', 'between', 'once', 'a', 'few', 'days', 'to', 'once', 'a', 'month', 'no', 'single', 'event', 'latchup', 'was', 'seen', 'in', 'any', 'of', 'the', 'lsis', 'these', 'results', 'show', 'that', 'the', 'tested', 'lsis', 'have', 'sufficient', 'tolerance', 'to', 'the', 'environment', 'for', 'space', 'vlbi', 'observations']] | [-0.08260659372767391, 0.1160955121872989, -0.046592053907013244, 0.06245281602803681, -0.010543660112571988, -0.10947334176638503, 0.06346100443228021, 0.44660827676257625, -0.21727317218160766, -0.37796101410640404, 0.1177819812979909, -0.33438851577441464, -0.020803888370706278, 0.24132418710823086, -0.036780065163673666, 0.06452554226879412, 0.10901175268901914, 0.020017574922266333, -0.06459630121670754, -0.24921439646012997, 0.23043410248382398, 0.14443877390030221, 0.23612739036219532, 0.008155908160419627, 0.11837996692272347, -0.004799692043558356, -0.04231758098864124, -0.00279126000052863, -0.08873811693001699, 0.03410814686900598, 0.2535774949726395, 0.15303682799673302, 0.23418693291552534, -0.4391997625458647, -0.20823034531944853, 0.0957604925399871, 0.05309787776786834, 0.014066098183320719, -0.04662990416413364, -0.2824278497362023, 0.04007766744524071, -0.18738457361574878, -0.09029166684715827, 0.023004650815644047, 0.04928927305313251, 0.05111930023518984, -0.25250127227892255, 0.048378335349050096, -0.021032120820812204, 0.06463846099689942, -0.1054369620744844, -0.05092161594075151, -0.013333206805823878, 0.13106096923795782, 0.026285253373895433, 0.03155225107647394, 0.15140061402979138, -0.07917587330501358, -0.12852350587987035, 0.33239117966943676, -0.06930108762621372, -0.0711724137654528, 0.15917050023960078, -0.22751539988993583, -0.15196845632718495, 0.1931148764243434, 0.18649457490259505, 0.10831441672582348, -0.16861505312739278, -0.05454244291732638, 0.04896399730932899, 0.22316814444705166, 0.09880794171741317, 0.04264159426582575, 0.23566506124122746, 0.17854634234258396, -0.01264058657662562, 0.1380695716083706, -0.2519953930717417, -0.008391585855199744, -0.31411456184750103, -0.12122682196257467, -0.16306957882162268, 0.06134053760359331, -0.05905356063389759, -0.08409460091074421, 0.38897559588076547, 0.1467832643965349, 0.1676618946128821, 0.020032809041202363, 0.29245230969867075, 0.08279196777750092, 0.10447686465605246, 0.04641345012086359, 0.28197349582544784, 0.034408814792351965, 0.1512132399181031, -0.17609271335426124, 0.10036528557909398, -0.02414728070884435] |
708.3882 | Aluminium substitution induced superstructures in Mg1-xAlxB2 (x = 0.0 to
0.50): An X-ray diffraction study | The physical property characterization of Al doped Mg1-xAlxB2 system with x =
0.0 to 0.50 is reported. The results related to phase formation, structural
transition, resistivity R(T) and magnetization M(T) measurements are discussed
in detail. It is shown that the addition of electrons to MgB2 through Al
results in loss of superconductivity. Also seen is a structural transition
associated with the collapse of boron layers reflected by the continuous
decrease in the c parameter. The main emphasis in this paper is on slow scan
X-ray diffraction (XRD) results, which confirm the existence of a
superstructure along the c-direction for the x = 0.50 sample. The appearance of
some additional peaks, viz. [103], [004], [104] and [112], results in doubling
of the lattice parameter along the c-axis. This possibly indicates the
alternative ordering of Al and Mg in MgAlB4 separated by hexagonal boron layers
but still maintaining the same hexagonal AlB2 type structure.
| cond-mat.supr-con | the physical property characterization of al doped mg1xalxb2 system with x 00 to 050 is reported the results related to phase formation structural transition resistivity rt and magnetization mt measurements are discussed in detail it is shown that the addition of electrons to mgb2 through al results in loss of superconductivity also seen is a structural transition associated with the collapse of boron layers reflected by the continuous decrease in the c parameter the main emphasis in this paper is on slow scan xray diffraction xrd results which confirm the existence of a superstructure along the cdirection for the x 050 sample the appearance of some additional peaks viz 103 004 104 and 112 results in doubling of the lattice parameter along the caxis this possibly indicates the alternative ordering of al and mg in mgalb4 separated by hexagonal boron layers but still maintaining the same hexagonal alb2 type structure | [['the', 'physical', 'property', 'characterization', 'of', 'al', 'doped', 'mg1xalxb2', 'system', 'with', 'x', '00', 'to', '050', 'is', 'reported', 'the', 'results', 'related', 'to', 'phase', 'formation', 'structural', 'transition', 'resistivity', 'rt', 'and', 'magnetization', 'mt', 'measurements', 'are', 'discussed', 'in', 'detail', 'it', 'is', 'shown', 'that', 'the', 'addition', 'of', 'electrons', 'to', 'mgb2', 'through', 'al', 'results', 'in', 'loss', 'of', 'superconductivity', 'also', 'seen', 'is', 'a', 'structural', 'transition', 'associated', 'with', 'the', 'collapse', 'of', 'boron', 'layers', 'reflected', 'by', 'the', 'continuous', 'decrease', 'in', 'the', 'c', 'parameter', 'the', 'main', 'emphasis', 'in', 'this', 'paper', 'is', 'on', 'slow', 'scan', 'xray', 'diffraction', 'xrd', 'results', 'which', 'confirm', 'the', 'existence', 'of', 'a', 'superstructure', 'along', 'the', 'cdirection', 'for', 'the', 'x', '050', 'sample', 'the', 'appearance', 'of', 'some', 'additional', 'peaks', 'viz', '103', '004', '104', 'and', '112', 'results', 'in', 'doubling', 'of', 'the', 'lattice', 'parameter', 'along', 'the', 'caxis', 'this', 'possibly', 'indicates', 'the', 'alternative', 'ordering', 'of', 'al', 'and', 'mg', 'in', 'mgalb4', 'separated', 'by', 'hexagonal', 'boron', 'layers', 'but', 'still', 'maintaining', 'the', 'same', 'hexagonal', 'alb2', 'type', 'structure']] | [-0.13704047682804474, 0.1677098541032998, -0.005600818653810648, -0.020532891418372324, -0.030596946781788696, -0.10224361981784037, 0.11543769398844807, 0.4175262736569115, -0.25496909882710783, -0.30614473078799925, 0.04626800923533238, -0.33069592282401034, -0.11596841454480919, 0.1538747744884767, -0.010770619067913484, 0.016539589076884242, 0.00031654458280477746, -0.030361079696828386, -0.12920110634740617, -0.24650379175151504, 0.24451991915390295, 0.05755865264171422, 0.31982717578668124, 0.05311753866794025, 0.01783693276795765, -0.03416601810198052, 0.047077540387930786, 0.03493077915174349, -0.18272465563891183, 0.049959498717396474, 0.21367971187898102, -0.020074437779351764, 0.16637723723070183, -0.3677521990484698, -0.22417754808053275, -0.018042716522694836, 0.12264509754092902, 0.04026826020352067, -0.07112764958807911, -0.2501107514773389, 0.10238042717249501, -0.07224748040163294, -0.13356252196213644, -0.022067482564863967, 0.0010679598222642936, 0.003147754765071925, -0.25550598849975287, 0.12406082823071722, 0.10889661117009944, 0.08390565291234611, -0.11687815968328524, -0.1391418232080908, -0.09590937610990649, -0.001219125995850003, 0.060252225088993173, 0.10937617958567086, 0.11129734616089088, -0.0441050411658299, -0.08438738086495248, 0.380243276027125, -0.031672848955784365, -0.056294211961529, 0.16682690588582383, -0.20882759613903776, -0.13827899675316258, 0.19834188643949194, 0.08594890176974887, 0.08229179802231941, -0.13096309191158242, 0.06403059175358335, -0.015997924010625622, 0.19688006439371247, 0.09030236383968801, 0.047327159357416576, 0.18090323966321528, 0.1946772103605717, 0.01296188248846455, 0.13934548524202117, -0.12315730874086012, -0.04634222119144983, -0.2329122446361779, -0.17980157148371131, -0.16113509108068658, 0.058449249208323506, -0.11014937007170399, -0.18156123917058403, 0.35804585667913813, 0.11363022842588241, 0.2506574625852549, -0.07524373392018195, 0.20156761544644083, 0.06515043214801074, 0.04589019123942985, 0.033001768794973324, 0.25172325724133465, 0.19987276409933932, 0.14647150028421974, -0.2450106205217909, 0.12600053946843884, 0.017833909225312604] |
708.3883 | Role of Carbon in Enhancing the Performance of MgB2 superconductor | The enhancement of the critical current density (Jc(H)) of carbon and
nano-SiC doped MgB2 is presented and compared. The upper critical field (Hc2)
being determined from resistivity under magnetic field experiments is though
improved for both C substitution and nano-SiC addition the same is more
pronounced for the former. In MgB2-xCx carbon is substituted for boron that
induces disorder in the boron network and acts as internal pinning centres. The
optimal Jc(H) values are obtained for x = 0.1 sample . In case of nano-SiC
doped in MgB2, the Jc(H) improves more profoundly and two simultaneous
mechanisms seems responsible to this enhancement. Highly reactive nano-SiC
releases free carbon atom, which gets easily incorporated into the MgB2 lattice
to act as intrinsic pinning centres. Further enhancement is observed for higher
nano-SiC concentrations, where the un-reacted components serve as additional
extrinsic pinning centres.
| cond-mat.supr-con cond-mat.str-el | the enhancement of the critical current density jch of carbon and nanosic doped mgb2 is presented and compared the upper critical field hc2 being determined from resistivity under magnetic field experiments is though improved for both c substitution and nanosic addition the same is more pronounced for the former in mgb2xcx carbon is substituted for boron that induces disorder in the boron network and acts as internal pinning centres the optimal jch values are obtained for x 01 sample in case of nanosic doped in mgb2 the jch improves more profoundly and two simultaneous mechanisms seems responsible to this enhancement highly reactive nanosic releases free carbon atom which gets easily incorporated into the mgb2 lattice to act as intrinsic pinning centres further enhancement is observed for higher nanosic concentrations where the unreacted components serve as additional extrinsic pinning centres | [['the', 'enhancement', 'of', 'the', 'critical', 'current', 'density', 'jch', 'of', 'carbon', 'and', 'nanosic', 'doped', 'mgb2', 'is', 'presented', 'and', 'compared', 'the', 'upper', 'critical', 'field', 'hc2', 'being', 'determined', 'from', 'resistivity', 'under', 'magnetic', 'field', 'experiments', 'is', 'though', 'improved', 'for', 'both', 'c', 'substitution', 'and', 'nanosic', 'addition', 'the', 'same', 'is', 'more', 'pronounced', 'for', 'the', 'former', 'in', 'mgb2xcx', 'carbon', 'is', 'substituted', 'for', 'boron', 'that', 'induces', 'disorder', 'in', 'the', 'boron', 'network', 'and', 'acts', 'as', 'internal', 'pinning', 'centres', 'the', 'optimal', 'jch', 'values', 'are', 'obtained', 'for', 'x', '01', 'sample', 'in', 'case', 'of', 'nanosic', 'doped', 'in', 'mgb2', 'the', 'jch', 'improves', 'more', 'profoundly', 'and', 'two', 'simultaneous', 'mechanisms', 'seems', 'responsible', 'to', 'this', 'enhancement', 'highly', 'reactive', 'nanosic', 'releases', 'free', 'carbon', 'atom', 'which', 'gets', 'easily', 'incorporated', 'into', 'the', 'mgb2', 'lattice', 'to', 'act', 'as', 'intrinsic', 'pinning', 'centres', 'further', 'enhancement', 'is', 'observed', 'for', 'higher', 'nanosic', 'concentrations', 'where', 'the', 'unreacted', 'components', 'serve', 'as', 'additional', 'extrinsic', 'pinning', 'centres']] | [-0.10515644569653455, 0.20534593780464727, 0.02984106597212552, 0.006043996048836614, 0.016141595188260294, -0.1926381735318749, 0.1032848981403404, 0.42485335693701354, -0.20382967502843563, -0.28661543838746795, 0.014450260910386448, -0.3328023596445648, -0.06804539533599997, 0.21674948644308414, -0.0016950394572160816, -0.03818128667108081, -0.02097466408455972, -0.010304568338764013, -0.050247544802979924, -0.26606576207006793, 0.21739389797632427, 0.08285049480392778, 0.39989938417436194, 0.08114608483206441, -0.014528436941369403, -0.018990447474208076, 0.10023401094652484, 0.080867397320028, -0.10304124601271795, 0.08366579901118823, 0.2538892660665212, -0.06732785886006175, 0.15505896712378633, -0.4360890184298703, -0.22488482806349186, 0.0407881469251387, 0.17282916598772402, 0.1258193523205964, -0.07370300359271044, -0.22451974941826286, 0.08892254648173104, -0.08741057399499545, -0.1247801619695781, -0.04674941232794789, 0.004789150328368699, 0.008192217546990878, -0.27848574060196285, 0.08930250516214924, 0.07468505752446271, 0.10326450794291174, -0.13285545990366837, -0.209045315970392, -0.12988677039397412, 0.06342467541719297, 0.03907217645327554, 0.07025127324925588, 0.2691193201324547, -0.12008050943242399, -0.020743715215018756, 0.37422352541479276, -0.07989619717859536, -0.07615354849279375, 0.13214061675566457, -0.13828399703040611, -0.11467819610985813, 0.1663632721945027, 0.086906023280613, 0.0660756695010572, -0.148229126195363, 0.06432981017044001, 0.010934480967623242, 0.15630804116606525, 0.06869338300219811, 0.056247927271928504, 0.18798546258212745, 0.2310793765907665, 0.06834057696860261, 0.17140241444325274, -0.10614724010363114, -0.020262060609894047, -0.19470274806853463, -0.18261910646336435, -0.14247241542044786, 0.08442734111529246, -0.11786018673063796, -0.1705769224983486, 0.2975488743148476, 0.12541974968069214, 0.18417660554991566, -0.08850823409885517, 0.2055154159889563, 0.11636928620785073, 0.12762429041992338, 0.03603877768711113, 0.22211152026530276, 0.16176346893482607, 0.1115912578785591, -0.24021849351208122, 0.13552020589331928, -0.0031474772304725305] |
708.3884 | A domain-wall-brane-localized standard model | We sketch an SU(5) bulk model in 4+1-dimensions that plausibly produces an
effective 3+1-dimensional standard model dynamically-localized on a domain
wall.
| hep-ph | we sketch an su5 bulk model in 41dimensions that plausibly produces an effective 31dimensional standard model dynamicallylocalized on a domain wall | [['we', 'sketch', 'an', 'su5', 'bulk', 'model', 'in', '41dimensions', 'that', 'plausibly', 'produces', 'an', 'effective', '31dimensional', 'standard', 'model', 'dynamicallylocalized', 'on', 'a', 'domain', 'wall']] | [-0.03982313582673669, 0.13294113660958828, -0.11178052078466863, 0.08740806579589844, -0.12228889092803001, -0.10672144417185336, -0.026338153006508946, 0.40565629426855593, -0.18965019390452653, -0.25542363412678243, 0.02884548932197504, -0.22961540892720222, -0.11237017364474014, 0.12919323162641377, -0.15724412403069438, -0.08080068724229932, 0.000329982116818428, 0.027110665757209062, -0.057921413506846875, -0.19086043031420558, 0.25301704574376344, -0.008882156945765019, 0.32207358740270137, 0.03538410244509578, 0.0987695436924696, -0.06134207034483552, 0.08632104233838618, 0.008126328769139945, -0.13042467959639908, 0.09354739766567946, 0.11805575992912054, 0.013075152854435146, 0.09995931331068278, -0.4987169627100229, -0.26756483912467954, 0.04443497806787491, 0.1663718421012163, 0.176800426421687, -0.11740601857891306, -0.30141058964654804, 0.10138906929641962, -0.24821273554116488, -0.12893215655349194, -0.06417829722631722, -0.044745815079659225, -0.2550215686671436, -0.3287114042788744, 0.09309403509105323, 0.056690154038369654, 0.011787719978019594, -0.10725356438197195, -0.06047798660583794, -0.058363129198551175, -0.040019887825474144, 0.06991194280562922, 0.12111244444968179, 0.1359921263763681, -0.22614695293596015, -0.1637556457426399, 0.40909307077527046, -0.1644793248269707, -0.23000996392220258, 0.18898592819459736, -0.023399745114147663, -0.061781213525682686, 0.0843507619574666, 0.1604223339818418, 0.1297735682222992, -0.17073429822921754, 0.1804994076490402, -0.17263537589460612, 0.2457445920270402, -0.03710891976952553, -0.0732328144600615, 0.2880475068464875, 0.26029588044220875, 0.010131453722715377, 0.10394326858222484, -0.04297274876153097, -0.11562612997367978, -0.4403693087399006, -0.09718162342905998, -0.14536109501495958, 0.03018886912614107, -0.19999789814464747, -0.2205996481468901, 0.4137792244553566, 0.15431833239272236, 0.21502347183413803, 0.020080925663933158, 0.22952899299561977, 0.054204518301412465, 0.09667557626962661, 0.05905756570864469, 0.1814364214427769, -0.007507540564984083, 0.06881916227284819, -0.19553368859924375, -0.12111023491015657, 0.14837976242415607] |
708.3885 | Effect of PVA doping on flux pinning in Bulk MgB2 | The synthesis and characterization of PVA (Poly Vinyl Acetate) doped bulk
MgB2 superconductor is reported here. PVA is used as a Carbon source. PVA
doping effects made two distinguishable contributions: first enhancement of Jc
field performance and second an increase in Hc2 value, both because of carbon
incorporation into MgB2 crystal lattice. The susceptibility measurement reveals
that Tc decreased from 37 to 36 K. Lattice parameter a decreased from 3.085 A
to 3.081 A due to the partial substitution of Carbon at Boron site. PVA doped
sample exhibited the Jc values greater than 10^5 A/cm2 at 5 & 10 K at low
fields; which is almost 3 times higher than the pure one, while at high fields
the Jc is increased by an order of magnitude in comparison to pure MgB2. From
R(T)H measurements we found higher Tc values under magnetic field for doped
sample; indicating an increase in Hc2. Also the magnetization measurements
exhibited a significant enhancement in Hirr value. The improved performance of
PVA doped MgB2 can be attributed to the substitution of carbon at boron site in
parent MgB2 and the resulting impact on the carrier density and impurity
scattering. The improved flux pinning behavior could easily be seen from
reduced flux pinning force plots.
| cond-mat.supr-con cond-mat.str-el | the synthesis and characterization of pva poly vinyl acetate doped bulk mgb2 superconductor is reported here pva is used as a carbon source pva doping effects made two distinguishable contributions first enhancement of jc field performance and second an increase in hc2 value both because of carbon incorporation into mgb2 crystal lattice the susceptibility measurement reveals that tc decreased from 37 to 36 k lattice parameter a decreased from 3085 a to 3081 a due to the partial substitution of carbon at boron site pva doped sample exhibited the jc values greater than 105 acm2 at 5 10 k at low fields which is almost 3 times higher than the pure one while at high fields the jc is increased by an order of magnitude in comparison to pure mgb2 from rth measurements we found higher tc values under magnetic field for doped sample indicating an increase in hc2 also the magnetization measurements exhibited a significant enhancement in hirr value the improved performance of pva doped mgb2 can be attributed to the substitution of carbon at boron site in parent mgb2 and the resulting impact on the carrier density and impurity scattering the improved flux pinning behavior could easily be seen from reduced flux pinning force plots | [['the', 'synthesis', 'and', 'characterization', 'of', 'pva', 'poly', 'vinyl', 'acetate', 'doped', 'bulk', 'mgb2', 'superconductor', 'is', 'reported', 'here', 'pva', 'is', 'used', 'as', 'a', 'carbon', 'source', 'pva', 'doping', 'effects', 'made', 'two', 'distinguishable', 'contributions', 'first', 'enhancement', 'of', 'jc', 'field', 'performance', 'and', 'second', 'an', 'increase', 'in', 'hc2', 'value', 'both', 'because', 'of', 'carbon', 'incorporation', 'into', 'mgb2', 'crystal', 'lattice', 'the', 'susceptibility', 'measurement', 'reveals', 'that', 'tc', 'decreased', 'from', '37', 'to', '36', 'k', 'lattice', 'parameter', 'a', 'decreased', 'from', '3085', 'a', 'to', '3081', 'a', 'due', 'to', 'the', 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'scattering', 'the', 'improved', 'flux', 'pinning', 'behavior', 'could', 'easily', 'be', 'seen', 'from', 'reduced', 'flux', 'pinning', 'force', 'plots']] | [-0.08201653881286437, 0.19265971666139806, 0.02195072738264782, -0.05235527595955033, 0.020482356883900394, -0.14936459115548914, 0.14555197243763196, 0.3970775819644512, -0.19493179600730826, -0.35680075014990886, 0.020170910719777616, -0.3681001873407963, -0.017981708680778957, 0.2061941026876442, -0.0038026468940799076, -0.021352245122422623, -0.025732965911018712, -0.01315262325665945, -0.11824882495417237, -0.3016244768916409, 0.17118370242794786, 0.08260108452405025, 0.39872503700240963, 0.08803316834804507, 0.016299762502132695, -0.06184086289143208, 0.11370970077299769, 0.08345190357362879, -0.14401292417256487, 0.03604685364444043, 0.2691252388528004, -0.10891204741266039, 0.16512840898293588, -0.4120801156720654, -0.20942589145936613, 0.020251667224869565, 0.14428728727110918, 0.1131573604978846, -0.05041913832099163, 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708.3886 | Complementary Pair Density Wave and d-wave Checkerboard Order in High
Temperature Superconductors | The competing orders in the particle-particle (P-P) channel and the
particle-hole (P-H) channel have been proposed separately to explain the
pseudogap physics in cuprates. By solving the Bogoliubov-deGennes equation
self-consistently, we show that there is a general complementary connection
between the d-wave checkerboard order (DWCB) in the particle-hole (P-H) channel
and the pair density wave order (PDW) in the particle-particle (P-P) channel. A
small pair density localization generates DWCB and PDW orders simultaneously.
The result suggests that suppressing superconductivity locally or globally
through phase fluctuation should induce both orders in underdoped cuprates. The
presence of both DWCB and PDW orders with $4a \times 4a$ periodicity can
explain the checkerboard modulation observed in FT-STS from STM and the
puzzling dichotomy between the nodal and antinodal regions as well as the
characteristic features such as non-dispersive Fermi arc in the pseudogap
state.
| cond-mat.supr-con cond-mat.str-el | the competing orders in the particleparticle pp channel and the particlehole ph channel have been proposed separately to explain the pseudogap physics in cuprates by solving the bogoliubovdegennes equation selfconsistently we show that there is a general complementary connection between the dwave checkerboard order dwcb in the particlehole ph channel and the pair density wave order pdw in the particleparticle pp channel a small pair density localization generates dwcb and pdw orders simultaneously the result suggests that suppressing superconductivity locally or globally through phase fluctuation should induce both orders in underdoped cuprates the presence of both dwcb and pdw orders with 4a times 4a periodicity can explain the checkerboard modulation observed in ftsts from stm and the puzzling dichotomy between the nodal and antinodal regions as well as the characteristic features such as nondispersive fermi arc in the pseudogap state | [['the', 'competing', 'orders', 'in', 'the', 'particleparticle', 'pp', 'channel', 'and', 'the', 'particlehole', 'ph', 'channel', 'have', 'been', 'proposed', 'separately', 'to', 'explain', 'the', 'pseudogap', 'physics', 'in', 'cuprates', 'by', 'solving', 'the', 'bogoliubovdegennes', 'equation', 'selfconsistently', 'we', 'show', 'that', 'there', 'is', 'a', 'general', 'complementary', 'connection', 'between', 'the', 'dwave', 'checkerboard', 'order', 'dwcb', 'in', 'the', 'particlehole', 'ph', 'channel', 'and', 'the', 'pair', 'density', 'wave', 'order', 'pdw', 'in', 'the', 'particleparticle', 'pp', 'channel', 'a', 'small', 'pair', 'density', 'localization', 'generates', 'dwcb', 'and', 'pdw', 'orders', 'simultaneously', 'the', 'result', 'suggests', 'that', 'suppressing', 'superconductivity', 'locally', 'or', 'globally', 'through', 'phase', 'fluctuation', 'should', 'induce', 'both', 'orders', 'in', 'underdoped', 'cuprates', 'the', 'presence', 'of', 'both', 'dwcb', 'and', 'pdw', 'orders', 'with', '4a', 'times', '4a', 'periodicity', 'can', 'explain', 'the', 'checkerboard', 'modulation', 'observed', 'in', 'ftsts', 'from', 'stm', 'and', 'the', 'puzzling', 'dichotomy', 'between', 'the', 'nodal', 'and', 'antinodal', 'regions', 'as', 'well', 'as', 'the', 'characteristic', 'features', 'such', 'as', 'nondispersive', 'fermi', 'arc', 'in', 'the', 'pseudogap', 'state']] | [-0.22251794678824288, 0.19203399685377787, -0.060727716832687816, 0.12093988533015362, -0.018542574109908727, -0.14460697688295374, 0.055774540517346136, 0.3565114799629165, -0.2630997434524553, -0.2542649339718212, -0.02967051737858648, -0.33289228228053874, -0.11292176420767126, 0.08871024525558044, 0.07316181802556716, 0.01602888888529768, -0.06514105897263757, -0.036551649043602606, -0.1323530230704429, -0.23713153347905194, 0.3092940096211221, -0.030039291230163405, 0.33185010148611455, 0.09514004480027194, 0.018318401361882154, 0.03702570347647582, 0.07182130006341529, -0.011359184567949602, -0.12315054316724335, -0.02920226472030793, 0.36213099761599943, -0.0708804132233906, 0.1295755154519741, -0.4264399210789374, -0.2609111993307514, 0.03233587356350784, 0.18309891911922022, 0.11845292471947946, -0.020865225668863525, -0.328503791003355, 0.0500896672851273, -0.18935658460083818, -0.10110995617162968, -0.07486954800718065, -0.01917878641148231, -0.012944043288007379, -0.23378827478736638, 0.17213546371619617, 0.07168324163233462, 0.018046022386157087, -0.09465957457931447, -0.11137089367340584, -0.08966468708489889, 0.0009179538465104997, 0.08828832500314872, 0.12539574702802514, 0.04127696086319962, -0.1434065651115296, -0.12791711821254076, 0.3277196590323001, -0.03770950150044103, -0.10267687252822465, 0.18898037319304423, -0.1995657633782165, -0.037426822436308224, 0.18552896466904453, 0.06574896736586067, 0.002387931836502893, -0.10471325371181592, 0.06220934864416319, -0.06679921365898085, 0.20134975315637088, 0.07761251615094288, 0.10326067249864407, 0.2244924751376467, 0.16837268629710056, 0.0854104989557527, 0.09096798513450527, -0.1646351524345976, -0.08091489051003009, -0.3034674602294607, -0.11385621152751679, -0.16742637758309553, -0.025027375944150013, -0.04629742204082764, -0.11842642232243504, 0.4119294358417392, 0.14353399538501566, 0.23294188086209552, -0.10543283741488786, 0.24015119933922377, 0.12108366390041608, 0.051062980899587274, 0.09660214473426874, 0.20023396629174905, 0.13395553428313828, 0.08300876549245524, -0.3233123164174945, 0.09157991546006607, 0.05835518743510225] |
708.3887 | Tuning the Competing magnetic interactions in RTiGe (R = Tb, Er)
Compounds and tailoring the Magnetocaloric effect | The tetragonal layered compounds TbTiGe and ErTiGe order
antiferromagnetically at 276 K and 39 K, respectively. Partial substitution of
Mo for Ti in these two compounds modifies the magnetic interactions giving rise
to a ferromagnetic ground state which results in an enhanced magnetocaloric
effect. The magnetic entropy change in ErTi0.85Mo0.15Ge for a magnetic field
change of 5 T is ~10.5 J/kg/K against ~0.8 J/kg/K for ErTiGe in the vicinity of
the magnetic transition. Thus, magnetocaloric properties of such layered
materials may be tunable by suitable chemical substitutions.
| cond-mat.mtrl-sci | the tetragonal layered compounds tbtige and ertige order antiferromagnetically at 276 k and 39 k respectively partial substitution of mo for ti in these two compounds modifies the magnetic interactions giving rise to a ferromagnetic ground state which results in an enhanced magnetocaloric effect the magnetic entropy change in erti085mo015ge for a magnetic field change of 5 t is 105 jkgk against 08 jkgk for ertige in the vicinity of the magnetic transition thus magnetocaloric properties of such layered materials may be tunable by suitable chemical substitutions | [['the', 'tetragonal', 'layered', 'compounds', 'tbtige', 'and', 'ertige', 'order', 'antiferromagnetically', 'at', '276', 'k', 'and', '39', 'k', 'respectively', 'partial', 'substitution', 'of', 'mo', 'for', 'ti', 'in', 'these', 'two', 'compounds', 'modifies', 'the', 'magnetic', 'interactions', 'giving', 'rise', 'to', 'a', 'ferromagnetic', 'ground', 'state', 'which', 'results', 'in', 'an', 'enhanced', 'magnetocaloric', 'effect', 'the', 'magnetic', 'entropy', 'change', 'in', 'erti085mo015ge', 'for', 'a', 'magnetic', 'field', 'change', 'of', '5', 't', 'is', '105', 'jkgk', 'against', '08', 'jkgk', 'for', 'ertige', 'in', 'the', 'vicinity', 'of', 'the', 'magnetic', 'transition', 'thus', 'magnetocaloric', 'properties', 'of', 'such', 'layered', 'materials', 'may', 'be', 'tunable', 'by', 'suitable', 'chemical', 'substitutions']] | [-0.2011557777457119, 0.264752721774612, 0.04922753238295912, -0.021504821052426945, -0.03586826451032995, -0.13134692025830946, 0.12798634481739746, 0.3775562624529801, -0.26935409708509606, -0.3519356014229447, -0.027414356206869144, -0.3785551070314215, -0.06067271309018315, 0.17443275269883943, 0.0845279407698706, -0.027991456136735808, -0.07367765254352286, 0.02398735646113574, -0.15218028464320912, -0.23600534434957676, 0.23719765645934335, 0.017846349940960664, 0.24934554093304168, 0.07633116943845862, 0.013343526325356889, -0.06506086728277516, 0.2011989553077483, 0.06391955292727573, -0.1501964231790324, 0.009093349047723305, 0.2656261148941086, -0.09697042353709329, 0.1710371110049716, -0.38234302269137765, -0.18934760247188878, 0.01096196983189109, 0.10048633531095033, 0.09917781918158149, -0.09782959671174905, -0.2723595509642219, 0.1464174586651196, -0.13179940378773083, -0.07049580417147064, -0.12065426392637822, 0.011804581379955522, -0.008482469694621592, -0.3097106750426163, 0.07874392535178418, 0.11523599373681628, 0.2094766709824508, -0.160339644697708, -0.19181914079979243, -0.09213626253452287, 0.012834123941699424, 0.03733301536090313, 0.11185642967213798, 0.1671583564357316, -0.07594435295673559, -0.09774309449481318, 0.3736880324298449, -0.07747454826400267, -0.0013631053201584931, 0.14796463180198727, -0.1829889574514545, -0.12639641370175472, 0.23015154589595924, 0.1446279197235603, 0.10211712050150676, -0.15252811255786253, 0.07870903439365372, 0.07051430212849953, 0.16788981924484292, 0.04216064022382699, 0.08251455989497972, 0.2448372212855751, 0.1504282315811479, 0.022662913191121025, 0.15026824127080435, -0.11635133146212986, -0.01163777194395437, -0.16740706295941968, -0.2537219417674175, -0.16616629941405794, 0.07501808005239231, -0.15058436735493905, -0.19372575342127807, 0.3470001619488719, 0.16628342240358737, 0.1876203234206481, -0.13052600948560802, 0.1588670787379056, 0.0626955778977598, 0.05862254762169288, 0.0315915927254449, 0.24684006482901344, 0.2330376202638923, 0.18599132861358575, -0.28191412261025195, 0.12351638590355954, 0.007911322548626417] |
708.3888 | Superconductivity in zigzag CuO chains | Superconductivity has recently been discovered in
Pr$_{2}$Ba$_{4}$Cu$_{7}$O$_{15-\delta}$ with a maximum $T_c$ of about 15K.
Since the CuO planes in this material are believed to be insulating, it has
been proposed that the superconductivity occurs in the double (or zigzag) CuO
chain layer. On phenomenological grounds, we propose a theoretical
interpretation of the experimental results in terms of a new phase for the
zigzag chain, labelled by C$_1$S$_{3/2}$. This phase has a gap for some of the
relative spin and charge modes but no total spin gap, and can have a divergent
superconducting susceptibility for repulsive interactions. A microscopic model
for the zigzag CuO chain is proposed, and on the basis of density matrix
renormalization group (DMRG) and bosonization studies of this model, we adduce
evidence that supports our proposal.
| cond-mat.supr-con cond-mat.str-el | superconductivity has recently been discovered in pr_2ba_4cu_7o_15delta with a maximum t_c of about 15k since the cuo planes in this material are believed to be insulating it has been proposed that the superconductivity occurs in the double or zigzag cuo chain layer on phenomenological grounds we propose a theoretical interpretation of the experimental results in terms of a new phase for the zigzag chain labelled by c_1s_32 this phase has a gap for some of the relative spin and charge modes but no total spin gap and can have a divergent superconducting susceptibility for repulsive interactions a microscopic model for the zigzag cuo chain is proposed and on the basis of density matrix renormalization group dmrg and bosonization studies of this model we adduce evidence that supports our proposal | [['superconductivity', 'has', 'recently', 'been', 'discovered', 'in', 'pr_2ba_4cu_7o_15delta', 'with', 'a', 'maximum', 't_c', 'of', 'about', '15k', 'since', 'the', 'cuo', 'planes', 'in', 'this', 'material', 'are', 'believed', 'to', 'be', 'insulating', 'it', 'has', 'been', 'proposed', 'that', 'the', 'superconductivity', 'occurs', 'in', 'the', 'double', 'or', 'zigzag', 'cuo', 'chain', 'layer', 'on', 'phenomenological', 'grounds', 'we', 'propose', 'a', 'theoretical', 'interpretation', 'of', 'the', 'experimental', 'results', 'in', 'terms', 'of', 'a', 'new', 'phase', 'for', 'the', 'zigzag', 'chain', 'labelled', 'by', 'c_1s_32', 'this', 'phase', 'has', 'a', 'gap', 'for', 'some', 'of', 'the', 'relative', 'spin', 'and', 'charge', 'modes', 'but', 'no', 'total', 'spin', 'gap', 'and', 'can', 'have', 'a', 'divergent', 'superconducting', 'susceptibility', 'for', 'repulsive', 'interactions', 'a', 'microscopic', 'model', 'for', 'the', 'zigzag', 'cuo', 'chain', 'is', 'proposed', 'and', 'on', 'the', 'basis', 'of', 'density', 'matrix', 'renormalization', 'group', 'dmrg', 'and', 'bosonization', 'studies', 'of', 'this', 'model', 'we', 'adduce', 'evidence', 'that', 'supports', 'our', 'proposal']] | [-0.18139381833498192, 0.17550092976125597, -0.08177311342524263, 0.015021487533886102, -0.0567396498704511, -0.14070856340549653, 0.10768895332876127, 0.42242775729391724, -0.2079328975014505, -0.24667918245540932, 0.055718629013426835, -0.33012302676797844, -0.1417856102798396, 0.13541138552437815, 0.038022726723283995, 0.04909788211080013, 0.009906315422995249, 0.015872358038905077, -0.13733072586910566, -0.2104553405806655, 0.2623832076678809, 0.027990903223326313, 0.3213388269759889, 0.12845876783467247, 0.0404491291155864, -0.00013589804802904837, 0.09959001304741832, 0.03298120629187906, -0.1510692222260559, 0.07949274698512454, 0.26392949154251255, -0.03909163166463259, 0.1933023828369187, -0.43293704123061616, -0.25522974783962127, 0.022764439156162553, 0.16851879246587487, 0.17348141161346575, -0.08256187091865286, -0.2756204543802596, 0.07794176696188515, -0.21444917959888699, -0.09626849921369285, -0.10373172911022266, 0.005633565688185627, -0.04602783625887241, -0.22239158183219843, 0.09930523247749079, 0.07882907330196076, 0.08406014350202895, -0.04059751800195954, -0.13626423219102435, -0.05721472597542743, 0.0343556013849593, 0.08913746671623812, 0.05715290650368843, 0.07575663051829906, -0.08636798268162238, -0.1354386725652148, 0.32336819431657204, -0.010844898992218077, -0.10793879107222892, 0.1679506233340362, -0.13249513259506784, -0.13196153926037368, 0.12867938868294004, 0.062484593669069, 0.07244039074794273, -0.15333808057039278, 0.09904909923898231, -0.0815629761245873, 0.1758182914745703, 0.003569180375052383, 0.02136246374448092, 0.25314660793810617, 0.23446168868758832, 0.045212248051029746, 0.13908836918653833, -0.10424453258383437, -0.08913800454683951, -0.23599013323837426, -0.20650647782895248, -0.23607420759253728, 0.002092367392833694, -0.059615187135477754, -0.1875177902620635, 0.4225614460738143, 0.16143137956466802, 0.1900516028799757, -0.025479423216893338, 0.20557609100069385, 0.10196366884065355, 0.11857015878558741, 0.030918533906515222, 0.25145132946568083, 0.17900392033516255, 0.06888220975815784, -0.25407650425586326, 0.10580679622944444, 0.06666478176703095] |
708.3889 | Do single photons tunnel faster than light? | Experiments done in the early 1990's produced a surprising result: that
single photons pass through a photonic tunnel barrier with a group velocity
faster than the vacuum speed of light. Subsequent experiments with classical
pulses have also revealed apparent superluminal group velocities as well as
tunneling times that saturate with barrier length, a phenomenon known as the
Hartman effect. In this paper we show that the measured delays are in fact
cavity lifetimes as opposed to transit times. This interpretation resolves the
Hartman paradox and shows that tunneling is not superluminal as widely
believed.
| quant-ph physics.optics | experiments done in the early 1990s produced a surprising result that single photons pass through a photonic tunnel barrier with a group velocity faster than the vacuum speed of light subsequent experiments with classical pulses have also revealed apparent superluminal group velocities as well as tunneling times that saturate with barrier length a phenomenon known as the hartman effect in this paper we show that the measured delays are in fact cavity lifetimes as opposed to transit times this interpretation resolves the hartman paradox and shows that tunneling is not superluminal as widely believed | [['experiments', 'done', 'in', 'the', 'early', '1990s', 'produced', 'a', 'surprising', 'result', 'that', 'single', 'photons', 'pass', 'through', 'a', 'photonic', 'tunnel', 'barrier', 'with', 'a', 'group', 'velocity', 'faster', 'than', 'the', 'vacuum', 'speed', 'of', 'light', 'subsequent', 'experiments', 'with', 'classical', 'pulses', 'have', 'also', 'revealed', 'apparent', 'superluminal', 'group', 'velocities', 'as', 'well', 'as', 'tunneling', 'times', 'that', 'saturate', 'with', 'barrier', 'length', 'a', 'phenomenon', 'known', 'as', 'the', 'hartman', 'effect', 'in', 'this', 'paper', 'we', 'show', 'that', 'the', 'measured', 'delays', 'are', 'in', 'fact', 'cavity', 'lifetimes', 'as', 'opposed', 'to', 'transit', 'times', 'this', 'interpretation', 'resolves', 'the', 'hartman', 'paradox', 'and', 'shows', 'that', 'tunneling', 'is', 'not', 'superluminal', 'as', 'widely', 'believed']] | [-0.13225356814887454, 0.18313416928805887, -0.11099252986543356, 0.07412826929593141, -0.061521683658592084, -0.17567357736481157, 0.0496865506774679, 0.4016312948883848, -0.22539227925478778, -0.3409926709025464, 0.04148021605153112, -0.24719321963555635, -0.1306304965921222, 0.268861447599657, -0.06112242406333222, 0.009937772225152621, 0.10029742258917937, 0.02145109975591619, -0.019660536962700016, -0.19727738173876672, 0.2166279645914093, 0.08587673399999907, 0.2671973251717839, 0.07625634572964082, 0.08794235326646965, -0.0023868424084750894, 0.007011808494621134, 0.04062387424872871, -0.08353112701065293, -0.021061943348576414, 0.20197603948961726, 0.048452164962927396, 0.22492350032553077, -0.45257257723665617, -0.272623909609157, 0.08409616720065118, 0.22604668402469696, 0.1506910416634476, -0.09149212080569184, -0.3012630293700606, 0.005137043143127193, -0.14366370626289318, -0.16879767887393368, 0.02482728779989671, 0.05496031991602417, -0.02035448015073037, -0.16551013306239026, 0.1430574820319344, 0.03238202068654999, 0.017805161411586674, 0.024321558067892143, -0.042658867002365757, -0.008031470841973367, 0.028966917086670055, 0.12048206234999755, 0.04446051506068003, 0.13536852133024405, -0.06145055719497713, -0.18790916107258104, 0.36847756751515764, -0.11263911925244487, -0.06479150772220431, 0.1807334657679213, -0.17617307146614852, -0.03420144861980163, 0.1438419616482706, 0.08680176068996166, 0.1174771405330443, -0.0912563674290605, 0.00437222809488687, -0.07368138314601272, 0.16460126369171083, 0.16923615806042513, 0.09253982655169006, 0.18748984913876715, 0.1356621419830109, 0.015391125346216908, 0.09089159499730003, -0.09839993349197222, -0.08017077297467659, -0.2934861191488961, -0.18962349262128167, -0.1714140266270446, 0.09423482084805963, -0.024642032445897594, -0.12729262682965936, 0.31932697070643623, 0.15118072556636414, 0.22447537551534938, 0.029706301137884247, 0.31378900086844064, 0.11553863353130625, 0.11795200359205062, 0.07147731941857158, 0.3071182848925286, 0.12761827372386061, 0.13767299512797532, -0.23452366124145052, 0.09455479901937887, 0.0064954495929340095] |
708.389 | Rapid planetesimal formation in turbulent circumstellar discs | The initial stages of planet formation in circumstellar gas discs proceed via
dust grains that collide and build up larger and larger bodies (Safronov 1969).
How this process continues from metre-sized boulders to kilometre-scale
planetesimals is a major unsolved problem (Dominik et al. 2007): boulders stick
together poorly (Benz 2000), and spiral into the protostar in a few hundred
orbits due to a head wind from the slower rotating gas (Weidenschilling 1977).
Gravitational collapse of the solid component has been suggested to overcome
this barrier (Safronov 1969, Goldreich & Ward 1973, Youdin & Shu 2002). Even
low levels of turbulence, however, inhibit sedimentation of solids to a
sufficiently dense midplane layer (Weidenschilling & Cuzzi 1993, Dominik et al.
2007), but turbulence must be present to explain observed gas accretion in
protostellar discs (Hartmann 1998). Here we report the discovery of efficient
gravitational collapse of boulders in locally overdense regions in the
midplane. The boulders concentrate initially in transient high pressures in the
turbulent gas (Johansen, Klahr, & Henning 2006), and these concentrations are
augmented a further order of magnitude by a streaming instability (Youdin &
Goodman 2005, Johansen, Henning, & Klahr 2006, Johansen & Youdin 2007) driven
by the relative flow of gas and solids. We find that gravitationally bound
clusters form with masses comparable to dwarf planets and containing a
distribution of boulder sizes. Gravitational collapse happens much faster than
radial drift, offering a possible path to planetesimal formation in accreting
circumstellar discs.
| astro-ph | the initial stages of planet formation in circumstellar gas discs proceed via dust grains that collide and build up larger and larger bodies safronov 1969 how this process continues from metresized boulders to kilometrescale planetesimals is a major unsolved problem dominik et al 2007 boulders stick together poorly benz 2000 and spiral into the protostar in a few hundred orbits due to a head wind from the slower rotating gas weidenschilling 1977 gravitational collapse of the solid component has been suggested to overcome this barrier safronov 1969 goldreich ward 1973 youdin shu 2002 even low levels of turbulence however inhibit sedimentation of solids to a sufficiently dense midplane layer weidenschilling cuzzi 1993 dominik et al 2007 but turbulence must be present to explain observed gas accretion in protostellar discs hartmann 1998 here we report the discovery of efficient gravitational collapse of boulders in locally overdense regions in the midplane the boulders concentrate initially in transient high pressures in the turbulent gas johansen klahr henning 2006 and these concentrations are augmented a further order of magnitude by a streaming instability youdin goodman 2005 johansen henning klahr 2006 johansen youdin 2007 driven by the relative flow of gas and solids we find that gravitationally bound clusters form with masses comparable to dwarf planets and containing a distribution of boulder sizes gravitational collapse happens much faster than radial drift offering a possible path to planetesimal formation in accreting circumstellar discs | [['the', 'initial', 'stages', 'of', 'planet', 'formation', 'in', 'circumstellar', 'gas', 'discs', 'proceed', 'via', 'dust', 'grains', 'that', 'collide', 'and', 'build', 'up', 'larger', 'and', 'larger', 'bodies', 'safronov', '1969', 'how', 'this', 'process', 'continues', 'from', 'metresized', 'boulders', 'to', 'kilometrescale', 'planetesimals', 'is', 'a', 'major', 'unsolved', 'problem', 'dominik', 'et', 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708.3891 | The brachistochrone problem in open quantum systems | Recently, the quantum brachistochrone problem is discussed in the literature
by using non-Hermitian Hamilton operators of different type. Here, it is
demonstrated that the passage time is tunable in realistic open quantum systems
due to the biorthogonality of the eigenfunctions of the non-Hermitian Hamilton
operator. As an example, the numerical results obtained by Bulgakov et al. for
the transmission through microwave cavities of different shape are analyzed
from the point of view of the brachistochrone problem. The passage time is
shortened in the crossover from the weak-coupling to the strong-coupling regime
where the resonance states overlap and many branch points (exceptional points)
in the complex plane exist. The effect can {\it not} be described in the
framework of standard quantum mechanics with Hermitian Hamilton operator and
consideration of $S$ matrix poles.
| quant-ph | recently the quantum brachistochrone problem is discussed in the literature by using nonhermitian hamilton operators of different type here it is demonstrated that the passage time is tunable in realistic open quantum systems due to the biorthogonality of the eigenfunctions of the nonhermitian hamilton operator as an example the numerical results obtained by bulgakov et al for the transmission through microwave cavities of different shape are analyzed from the point of view of the brachistochrone problem the passage time is shortened in the crossover from the weakcoupling to the strongcoupling regime where the resonance states overlap and many branch points exceptional points in the complex plane exist the effect can it not be described in the framework of standard quantum mechanics with hermitian hamilton operator and consideration of s matrix poles | [['recently', 'the', 'quantum', 'brachistochrone', 'problem', 'is', 'discussed', 'in', 'the', 'literature', 'by', 'using', 'nonhermitian', 'hamilton', 'operators', 'of', 'different', 'type', 'here', 'it', 'is', 'demonstrated', 'that', 'the', 'passage', 'time', 'is', 'tunable', 'in', 'realistic', 'open', 'quantum', 'systems', 'due', 'to', 'the', 'biorthogonality', 'of', 'the', 'eigenfunctions', 'of', 'the', 'nonhermitian', 'hamilton', 'operator', 'as', 'an', 'example', 'the', 'numerical', 'results', 'obtained', 'by', 'bulgakov', 'et', 'al', 'for', 'the', 'transmission', 'through', 'microwave', 'cavities', 'of', 'different', 'shape', 'are', 'analyzed', 'from', 'the', 'point', 'of', 'view', 'of', 'the', 'brachistochrone', 'problem', 'the', 'passage', 'time', 'is', 'shortened', 'in', 'the', 'crossover', 'from', 'the', 'weakcoupling', 'to', 'the', 'strongcoupling', 'regime', 'where', 'the', 'resonance', 'states', 'overlap', 'and', 'many', 'branch', 'points', 'exceptional', 'points', 'in', 'the', 'complex', 'plane', 'exist', 'the', 'effect', 'can', 'it', 'not', 'be', 'described', 'in', 'the', 'framework', 'of', 'standard', 'quantum', 'mechanics', 'with', 'hermitian', 'hamilton', 'operator', 'and', 'consideration', 'of', 's', 'matrix', 'poles']] | [-0.138501842549214, 0.1307319733825772, -0.07274246912163038, 0.030172026680352595, -0.022707854059094992, -0.1284478212850025, 0.028622000959988396, 0.33844641987234353, -0.27658917112410286, -0.26524802240041584, 0.09022902975708488, -0.2854483161602939, -0.19402503160258325, 0.20058679856145037, -0.04463098875533503, 0.1059213490332835, 0.08167535588861657, 0.029392338973971515, -0.06245450107022547, -0.20083450487492463, 0.33640884092579093, 0.038191235123667865, 0.24044863518255835, 0.04923190449077922, 0.0563080303514233, 0.026746706406657512, 0.03960792522949095, -0.007920805031720263, -0.09585237877220676, 0.04809483210153233, 0.2599381424110526, 0.07873289251270202, 0.2336893298018437, -0.4342159726298772, -0.22259416163254242, 0.08463117141419878, 0.15930943171350428, 0.11367545219926307, -0.017914916660923225, -0.32906833975217664, 0.007818831779206028, -0.11358396796545443, -0.17085555279627443, -0.01281649070039678, 0.03339382447123241, -0.022428454018126313, -0.22764944387958028, 0.06113849326323431, 0.06216649637342646, 0.05316047968629461, -0.013848838451891565, -0.08293233330119759, -0.00516377821421394, 0.10339256889688281, -0.020090347052050324, -1.37783416833442e-05, 0.08950320911199715, -0.07246783598541068, -0.1342802483606367, 0.3903626174164506, -0.017312158536739074, -0.16936212408428009, 0.13297761424731178, -0.13919602669954587, -0.08850868519109029, 0.11422460115013214, 0.09843713536034697, 0.12148963148848942, -0.15486010825977875, 0.16665460608744, -0.05657519738619717, 0.08731400182027406, 0.08041171113817165, 0.04237520449902289, 0.16668352540582418, 0.10053682509236611, 0.03697994434444878, 0.12782924570447693, -0.037213159527163954, -0.19488821332566797, -0.2955006369962715, -0.12351987667274303, -0.2522398991340127, 0.056644009030536, -0.10153933784615499, -0.16815986176236317, 0.4276623799322316, 0.14076601111759934, 0.19939647334842728, -0.03177949585235463, 0.2353626922928155, 0.21370526128717196, 0.03856357016529028, 0.06347587808536795, 0.2862983799790247, 0.16607171768555418, 0.0994416707696823, -0.26370844772900454, -0.035566149240073106, 0.09422039388714788] |
708.3892 | Measurement of the CKM angle phi2 (alpha) | We present recent measurements of the unitarity triangle angle phi2(alpha)
using B -> pi pi, B -> rho rho, and B -> rho pi decays. The measurements are
based on data samples collected with the Belle and BaBar detectors at the KEKB
and PEP-II e+e- colliders, respectively. We also report on a new measurement of
a CP-violating asymmetry in B -> a_1+ pi- decay which will allow to constrain
further the angle phi2.
| hep-ex | we present recent measurements of the unitarity triangle angle phi2alpha using b pi pi b rho rho and b rho pi decays the measurements are based on data samples collected with the belle and babar detectors at the kekb and pepii ee colliders respectively we also report on a new measurement of a cpviolating asymmetry in b a_1 pi decay which will allow to constrain further the angle phi2 | [['we', 'present', 'recent', 'measurements', 'of', 'the', 'unitarity', 'triangle', 'angle', 'phi2alpha', 'using', 'b', 'pi', 'pi', 'b', 'rho', 'rho', 'and', 'b', 'rho', 'pi', 'decays', 'the', 'measurements', 'are', 'based', 'on', 'data', 'samples', 'collected', 'with', 'the', 'belle', 'and', 'babar', 'detectors', 'at', 'the', 'kekb', 'and', 'pepii', 'ee', 'colliders', 'respectively', 'we', 'also', 'report', 'on', 'a', 'new', 'measurement', 'of', 'a', 'cpviolating', 'asymmetry', 'in', 'b', 'a_1', 'pi', 'decay', 'which', 'will', 'allow', 'to', 'constrain', 'further', 'the', 'angle', 'phi2']] | [-0.15390708607018871, 0.2196358830996734, -0.13315694700406097, -0.01861988562022281, -0.10532239695791812, -0.23499508376014144, 0.11733303393531755, 0.2938642626737847, -0.20966408270246842, -0.20320312321350417, -0.022326107100953403, -0.4667698825326036, -0.003504297843285124, 0.13595189250019543, 0.09173677164568182, 0.15080901269581826, 0.14466951570391437, 0.022923550715752167, -0.10840339413570131, -0.1793716114343089, 0.21842261305188432, 0.05725064453573021, 0.19565292518339394, 0.09205989175311782, -0.026268295079182068, 0.038580291226561016, -0.0683014085105456, -0.07629542329403408, -0.2260745171087739, 0.029967316003475228, 0.19168134574326412, 0.1621293885332039, 0.05120337855837801, -0.3580099328640191, 0.06806334313553046, 0.17022064737701678, 0.12721270885017208, -0.042840981576934126, -0.04301772129838355, -0.43017127222436313, 0.12887863544122358, -0.15640445178210297, -0.04015894221854122, -0.08362934293280191, 0.07394747434677008, -0.10872149489381734, -0.40032610467032476, 0.07569066327200477, -0.13407544984810932, 0.08789455301730949, 0.03634915892582606, -0.28759048199828935, 0.0474397035466288, -0.03926388933563002, 0.021112080718226293, 0.10070064828238066, 0.19690701279871384, -0.0954223413787344, -0.14949281506842987, 0.29744163593825174, -0.061236190675759535, -0.12783678803209433, 0.11935190456878285, -0.31562818174579127, -0.13130576964056886, 0.08937909486635096, 0.25756068886531625, 0.04592582161593087, -0.15992901450954378, 0.1603738563041107, -0.04751170241712209, 0.1464461006278939, 0.09656500920434208, 0.05336687990519054, 0.15172633632798405, 0.14481162099058137, 0.04350497766726596, 0.05077871778699131, -0.19283379463013262, 0.0648052416577497, -0.4690642561215688, -0.12037520239348798, -0.06689596307628295, 0.08440303040312275, 0.016163045890339966, -0.01607453283127945, 0.3494969306184965, 0.031188443316804135, 0.37472426362664385, -0.01113047102390898, 0.298076275133473, 0.046434112492373544, 0.03250691182363559, 0.04445031240774209, 0.29844940668793724, 0.1665245968684116, 0.1531270605046302, -0.31579376713317986, 0.027667382336564034, -0.0470588816987241] |
708.3893 | Supplementary Information for ``Rapid planetesimal formation in
turbulent circumstellar discs'' | This document contains refereed supplementary information for the paper
``Rapid planetesimal formation in turbulent circumstellar discs''. It contains
15 sections (\S1.1 -- \S1.15) that address a number of subjects related to the
main paper. We describe in detail the Poisson solver used to find the
self-potential of the solid particles, including a linear and a non-linear test
problem (\S1.3). Dissipative collisions remove energy from the motion of the
particles by collisional cooling (\S1.4), an effect that allows gravitational
collapse to occur in somewhat less massive discs (\S1.7). A resolution study of
the gravitational collapse of the boulders is presented in \S1.6. We find that
gravitational collapse can occur in progressively less massive discs as the
grid resolution is increased, likely due to the decreased smoothing of the
particle-mesh self-gravity solver with increasing resolution. In \S1.10 we show
that it is in good agreement with the Goldreich & Ward (1973) stability
analysis to form several-hundred-km-sized bodies, when the analysis is applied
to 5 AU and to regions of increased boulder column density. \S11 is devoted to
the measurement of random speeds and collision speeds between boulders. We find
good agreement between our measurements and analytical theory for the random
speeds, but the measured collision speeds are 3 times lower than expected from
analytical theory. Higher resolution studies, and an improved analytical theory
of collision speeds that takes into account epicyclic motion, will be needed to
determine whether collision speeds have converged. In \S1.12 we present models
with no magnetic fields. The boulder layer still exhibits strong clumping, due
to the streaming instability, if the global solids-to-gas ratio is increased by
a factor 3. Gravitational collapse occurs as readily as in magnetised discs.
| astro-ph | this document contains refereed supplementary information for the paper rapid planetesimal formation in turbulent circumstellar discs it contains 15 sections s11 s115 that address a number of subjects related to the main paper we describe in detail the poisson solver used to find the selfpotential of the solid particles including a linear and a nonlinear test problem s13 dissipative collisions remove energy from the motion of the particles by collisional cooling s14 an effect that allows gravitational collapse to occur in somewhat less massive discs s17 a resolution study of the gravitational collapse of the boulders is presented in s16 we find that gravitational collapse can occur in progressively less massive discs as the grid resolution is increased likely due to the decreased smoothing of the particlemesh selfgravity solver with increasing resolution in s110 we show that it is in good agreement with the goldreich ward 1973 stability analysis to form severalhundredkmsized bodies when the analysis is applied to 5 au and to regions of increased boulder column density s11 is devoted to the measurement of random speeds and collision speeds between boulders we find good agreement between our measurements and analytical theory for the random speeds but the measured collision speeds are 3 times lower than expected from analytical theory higher resolution studies and an improved analytical theory of collision speeds that takes into account epicyclic motion will be needed to determine whether collision speeds have converged in s112 we present models with no magnetic fields the boulder layer still exhibits strong clumping due to the streaming instability if the global solidstogas ratio is increased by a factor 3 gravitational collapse occurs as readily as in magnetised discs | [['this', 'document', 'contains', 'refereed', 'supplementary', 'information', 'for', 'the', 'paper', 'rapid', 'planetesimal', 'formation', 'in', 'turbulent', 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708.3894 | Solute trapping and diffusionless solidification in a binary system | Numerous experimental data on the rapid solidification of binary systems
exhibit the formation of metastable solid phases with the initial (nominal)
chemical composition. This fact is explained by complete solute trapping
leading to diffusionless (chemically partitionless) solidification at a finite
growth velocity of crystals. Special attention is paid to developing a model of
rapid solidification which describes a transition from chemically partitioned
to diffusionless growth of crystals. Analytical treatments lead to the
condition for complete solute trapping which directly follows from the analysis
of the solute diffusion around the solid-liquid interface and atomic attachment
and detachment at the interface. The resulting equations for the flux balance
at the interface take into account two kinetic parameters: diffusion speed
$V_{DI}$ on the interface and diffusion speed $V_D$ in bulk phases. The model
describes experimental data on nonequilibrium solute partitioning in
solidification of Si-As alloys [M.J. Aziz et al., J. Cryst. Growth {\bf 148},
172 (1995); Acta Mater. {\bf 48}, 4797 (2000)] for the whole range of
solidification velocity investigated.
| cond-mat.mtrl-sci cond-mat.stat-mech | numerous experimental data on the rapid solidification of binary systems exhibit the formation of metastable solid phases with the initial nominal chemical composition this fact is explained by complete solute trapping leading to diffusionless chemically partitionless solidification at a finite growth velocity of crystals special attention is paid to developing a model of rapid solidification which describes a transition from chemically partitioned to diffusionless growth of crystals analytical treatments lead to the condition for complete solute trapping which directly follows from the analysis of the solute diffusion around the solidliquid interface and atomic attachment and detachment at the interface the resulting equations for the flux balance at the interface take into account two kinetic parameters diffusion speed v_di on the interface and diffusion speed v_d in bulk phases the model describes experimental data on nonequilibrium solute partitioning in solidification of sias alloys mj aziz et al j cryst growth bf 148 172 1995 acta mater bf 48 4797 2000 for the whole range of solidification velocity investigated | [['numerous', 'experimental', 'data', 'on', 'the', 'rapid', 'solidification', 'of', 'binary', 'systems', 'exhibit', 'the', 'formation', 'of', 'metastable', 'solid', 'phases', 'with', 'the', 'initial', 'nominal', 'chemical', 'composition', 'this', 'fact', 'is', 'explained', 'by', 'complete', 'solute', 'trapping', 'leading', 'to', 'diffusionless', 'chemically', 'partitionless', 'solidification', 'at', 'a', 'finite', 'growth', 'velocity', 'of', 'crystals', 'special', 'attention', 'is', 'paid', 'to', 'developing', 'a', 'model', 'of', 'rapid', 'solidification', 'which', 'describes', 'a', 'transition', 'from', 'chemically', 'partitioned', 'to', 'diffusionless', 'growth', 'of', 'crystals', 'analytical', 'treatments', 'lead', 'to', 'the', 'condition', 'for', 'complete', 'solute', 'trapping', 'which', 'directly', 'follows', 'from', 'the', 'analysis', 'of', 'the', 'solute', 'diffusion', 'around', 'the', 'solidliquid', 'interface', 'and', 'atomic', 'attachment', 'and', 'detachment', 'at', 'the', 'interface', 'the', 'resulting', 'equations', 'for', 'the', 'flux', 'balance', 'at', 'the', 'interface', 'take', 'into', 'account', 'two', 'kinetic', 'parameters', 'diffusion', 'speed', 'v_di', 'on', 'the', 'interface', 'and', 'diffusion', 'speed', 'v_d', 'in', 'bulk', 'phases', 'the', 'model', 'describes', 'experimental', 'data', 'on', 'nonequilibrium', 'solute', 'partitioning', 'in', 'solidification', 'of', 'sias', 'alloys', 'mj', 'aziz', 'et', 'al', 'j', 'cryst', 'growth', 'bf', '148', '172', '1995', 'acta', 'mater', 'bf', '48', '4797', '2000', 'for', 'the', 'whole', 'range', 'of', 'solidification', 'velocity', 'investigated']] | [-0.0880241284375553, 0.19559695137229688, -0.06744582483734557, -0.047594387299648884, -0.0391446454171649, -0.13496814769675988, 0.06873919213369131, 0.3219253521462802, -0.2479033431199987, -0.31100466331009735, 0.020129983958894176, -0.25823315417025977, -0.05179536006480322, 0.13901336998037414, 0.0067303569744826255, 0.038283902716761575, 0.01960108388761828, -0.07223618448806737, -0.015710100565038757, -0.21370734398470756, 0.2124914589845492, 0.043686705093529676, 0.3022169724525396, 0.07103631090969517, 0.08091434003774099, -0.012287397015683665, 0.021735592031416423, -0.015370152439659985, -0.26700393753795476, 0.03521860677339025, 0.21605278805879777, -0.001905508715837837, 0.20725491925694806, -0.44945562579515697, -0.2729514273396598, 0.011581793209972853, 0.10219194360696404, 0.11792593359428565, -0.08500701286565111, -0.25113391027225374, 0.005391102122466364, -0.13430215945623503, -0.10595851470186503, -0.0004099002142832754, 0.09201354487704302, 0.033010682359150986, -0.2724046177414809, 0.15788521486038934, 0.0734311272320477, 0.09135151263270638, -0.13246281488664716, -0.12431441636722602, -0.1242290267331838, 0.018951931201523827, -0.01311769729834273, 0.017624638651213245, 0.17933072613044726, -0.07867597674666542, -0.027653530415727528, 0.41486786544590654, -0.03517434681894001, -0.10882271290059664, 0.2400248665474132, -0.14633175257672165, -0.09269856542633277, 0.2388171554064869, 0.18084808573974465, 0.07798041239440787, -0.17323955208687725, 0.06448123291794289, 0.027999846737352226, 0.15310287614726645, 0.12605708896762463, -0.09088715235284435, 0.2064845178535621, 0.1983587015824515, -0.006904139460906565, 0.10712220146833824, -0.07145149835098177, -0.1400730005443838, -0.22876325979115006, -0.20404180098871538, -0.1779936869255083, 0.034004453308239, -0.1176105393261494, -0.1982831419849891, 0.35164786206034127, 0.0930077960016903, 0.16981124802085454, -0.019089071314313453, 0.15622982145761122, 0.06131452397850459, 0.010415385310638495, 0.06982342927844938, 0.22384708920426802, 0.1727069694518173, 0.2006578515172228, -0.28057106293481354, 0.12532635537411146, 0.08072375258832366] |
708.3895 | Applications of a finite-dimensional duality principle to some
prediction problems | Some of the most important results in prediction theory and time series
analysis when finitely many values are removed from or added to its infinite
past have been obtained using difficult and diverse techniques ranging from
duality in Hilbert spaces of analytic functions (Nakazi, 1984) to linear
regression in statistics (Box and Tiao, 1975). We unify these results via a
finite-dimensional duality lemma and elementary ideas from the linear algebra.
The approach reveals the inherent finite-dimensional character of many
difficult prediction problems, the role of duality and biorthogonality for a
finite set of random variables. The lemma is particularly useful when the
number of missing values is small, like one or two, as in the case of
Kolmogorov and Nakazi prediction problems. The stationarity of the underlying
process is not a requirement. It opens up the possibility of extending such
results to nonstationary processes.
| math.PR math.ST stat.TH | some of the most important results in prediction theory and time series analysis when finitely many values are removed from or added to its infinite past have been obtained using difficult and diverse techniques ranging from duality in hilbert spaces of analytic functions nakazi 1984 to linear regression in statistics box and tiao 1975 we unify these results via a finitedimensional duality lemma and elementary ideas from the linear algebra the approach reveals the inherent finitedimensional character of many difficult prediction problems the role of duality and biorthogonality for a finite set of random variables the lemma is particularly useful when the number of missing values is small like one or two as in the case of kolmogorov and nakazi prediction problems the stationarity of the underlying process is not a requirement it opens up the possibility of extending such results to nonstationary processes | [['some', 'of', 'the', 'most', 'important', 'results', 'in', 'prediction', 'theory', 'and', 'time', 'series', 'analysis', 'when', 'finitely', 'many', 'values', 'are', 'removed', 'from', 'or', 'added', 'to', 'its', 'infinite', 'past', 'have', 'been', 'obtained', 'using', 'difficult', 'and', 'diverse', 'techniques', 'ranging', 'from', 'duality', 'in', 'hilbert', 'spaces', 'of', 'analytic', 'functions', 'nakazi', '1984', 'to', 'linear', 'regression', 'in', 'statistics', 'box', 'and', 'tiao', '1975', 'we', 'unify', 'these', 'results', 'via', 'a', 'finitedimensional', 'duality', 'lemma', 'and', 'elementary', 'ideas', 'from', 'the', 'linear', 'algebra', 'the', 'approach', 'reveals', 'the', 'inherent', 'finitedimensional', 'character', 'of', 'many', 'difficult', 'prediction', 'problems', 'the', 'role', 'of', 'duality', 'and', 'biorthogonality', 'for', 'a', 'finite', 'set', 'of', 'random', 'variables', 'the', 'lemma', 'is', 'particularly', 'useful', 'when', 'the', 'number', 'of', 'missing', 'values', 'is', 'small', 'like', 'one', 'or', 'two', 'as', 'in', 'the', 'case', 'of', 'kolmogorov', 'and', 'nakazi', 'prediction', 'problems', 'the', 'stationarity', 'of', 'the', 'underlying', 'process', 'is', 'not', 'a', 'requirement', 'it', 'opens', 'up', 'the', 'possibility', 'of', 'extending', 'such', 'results', 'to', 'nonstationary', 'processes']] | [-0.061093927092669115, 0.08820199964813785, -0.11074577095213398, 0.10499344967407372, -0.09222347289970559, -0.1393542916371694, 0.03614202805895022, 0.3194975318652319, -0.328928698873723, -0.2814368732829785, 0.14985704622651813, -0.2573406014028781, -0.1550551694959318, 0.26200589137604563, -0.07424832284515206, 0.11374412192344607, 0.055846920780216656, 0.029641785788246326, -0.06251938381400476, -0.2564537799011709, 0.3131054933861985, 0.013089814676075347, 0.2573412612045003, 0.044032391653874785, 0.10255074614542536, 0.04792334635405698, -0.08131670837125664, 0.008701681050297339, -0.082328904452475, 0.12812541357319182, 0.3030103008867526, 0.11283177432778757, 0.32829000833185595, -0.4127926400785024, -0.19404169955103295, 0.12785064368896806, 0.10616068961341323, 0.0989879244492234, -0.013128929642132588, -0.2652534667334597, 0.08018829883157094, -0.14369882365281228, -0.11732853583978592, -0.07831196894403547, 0.0305300770204566, -0.0022984829589000177, -0.27135941308289246, 0.08174951908101018, 0.11305828098839912, 0.06645167268773851, -0.0476273388622859, -0.11784444419188528, -0.0043236533383606, 0.1367376379643651, 0.07701122574326291, 0.015687231310746737, 0.07892562975757755, -0.1295445234217267, -0.14060661079808293, 0.36257486334458616, -0.015933020804772643, -0.2170940270293108, 0.23166268896440873, -0.13850035364238364, -0.17219109279944356, 0.10094855692134136, 0.14290301429961497, 0.11630612385286238, -0.10570866743384816, 0.14734971105887476, -0.0685986460335294, 0.0852700456582372, 0.07726898428275793, 0.050318509560181864, 0.14275208356492738, 0.12213258158751866, 0.01930065239381899, 0.12909557723226803, -0.022642226928534608, -0.13013126651761317, -0.2946462464751676, -0.12320612024470595, -0.16809598591256267, 0.05980457442728948, -0.12407174488200529, -0.1601443752491226, 0.36317848852680373, 0.1532320157922287, 0.2008148771063942, 0.05395229045017105, 0.24747823815171918, 0.11577600853353134, 0.05321213850078897, 0.03691477017774661, 0.17147566719621762, 0.19699929910711944, 0.06624490170765461, -0.11767245671863849, 0.049406378688420065, 0.10576574245674743] |
708.3896 | The Isoconditioning Loci of Planar Three-DOF Parallel Manipulators | The subject of this paper is a special class of three-degree-of-freedom
parallel manipulators. The singular configurations of the two Jacobian matrices
are first studied. The isotropic configurations are then found based on the
characteristic length of this manipulator. The isoconditioning loci for the
Jacobian matrices are plotted to define a global performance index allowing the
comparison of the different working modes. The index thus resulting is compared
with the Cartesian workspace surface and the average of the condition number.
| cs.RO | the subject of this paper is a special class of threedegreeoffreedom parallel manipulators the singular configurations of the two jacobian matrices are first studied the isotropic configurations are then found based on the characteristic length of this manipulator the isoconditioning loci for the jacobian matrices are plotted to define a global performance index allowing the comparison of the different working modes the index thus resulting is compared with the cartesian workspace surface and the average of the condition number | [['the', 'subject', 'of', 'this', 'paper', 'is', 'a', 'special', 'class', 'of', 'threedegreeoffreedom', 'parallel', 'manipulators', 'the', 'singular', 'configurations', 'of', 'the', 'two', 'jacobian', 'matrices', 'are', 'first', 'studied', 'the', 'isotropic', 'configurations', 'are', 'then', 'found', 'based', 'on', 'the', 'characteristic', 'length', 'of', 'this', 'manipulator', 'the', 'isoconditioning', 'loci', 'for', 'the', 'jacobian', 'matrices', 'are', 'plotted', 'to', 'define', 'a', 'global', 'performance', 'index', 'allowing', 'the', 'comparison', 'of', 'the', 'different', 'working', 'modes', 'the', 'index', 'thus', 'resulting', 'is', 'compared', 'with', 'the', 'cartesian', 'workspace', 'surface', 'and', 'the', 'average', 'of', 'the', 'condition', 'number']] | [-0.1920591163908756, 0.082952784466457, -0.046979573690862975, 0.003788512382844958, -0.05118833163965352, -0.125120928900057, -0.038978588919131724, 0.33761535627366623, -0.2458566909514462, -0.2774669736435142, 0.10854307683243687, -0.2202213919025999, -0.1379972282278387, 0.1826592654201992, -0.054578149078201646, 0.06108428556118396, 0.05018021296591887, 0.07635053077748022, -0.11772332681177915, -0.2593214456463539, 0.3623902969109484, 0.02664312020627947, 0.3068636005060582, -0.0026127754392314562, 0.09822039705217828, -0.004926891669577954, -0.023272398423073413, 0.04869369257100021, -0.1227607507659476, 0.12716912836811942, 0.20983613098535356, 0.06709016717033155, 0.2102704862415602, -0.3758713207502343, -0.12785885130538593, 0.14484247591205035, 0.10459276532188436, 0.039706376039340525, 0.04223936287350245, -0.22086838399401948, 0.11265378227439721, -0.1322148267173833, -0.140490362326367, -0.00958394639056229, 0.013203289819574809, 0.05926826656383427, -0.26706417848037767, -0.00044052284196184215, 0.02744809747277538, 0.12023290421200704, -0.051037525622574964, -0.1490193266610179, -0.060167222943958605, 0.13981771798026335, 0.06785830317206587, -0.022717335774221376, 0.11462296172976494, -0.08852706008437503, -0.07737844776291447, 0.38833281512466505, 0.03749309965892683, -0.2762341506401949, 0.16249568293849595, -0.08987303873335448, -0.07949391737745344, 0.1319919154180591, 0.15318304832576762, 0.16099914241157756, -0.09958261007419493, 0.09899783944283742, -0.07135202264106727, 0.12766498449565017, 0.0960769197598536, -0.023762217263066317, 0.15248351269718435, 0.1178860070708479, 0.07100130248626199, 0.17955650276021112, -0.1080445470561014, -0.09838107273371631, -0.30692911581902566, -0.17686443089778664, -0.16092385442432347, 0.0006577157049993925, -0.14715799154058729, -0.19579154817693972, 0.4581366704682572, 0.07268031363234018, 0.2032263320281253, 0.09990426898776271, 0.2893118670510859, 0.09910761747697863, 0.035081724465317744, 0.07178023922009559, 0.22485361113271948, 0.1532825998257539, 0.05456033010990654, -0.21011789663565122, 0.05861301742541262, 0.08336028849847521] |
708.3897 | Nearly Optimal Patchy Feedbacks for Minimization Problems with Free
Terminal Time | The paper is concerned with a general optimization problem for a nonlinear
control system, in the presence of a running cost and a terminal cost, with
free terminal time. We prove the existence of a patchy feedback whose
trajectories are all nearly optimal solutions, with pre-assigned accuracy.
| math.OC math.CA | the paper is concerned with a general optimization problem for a nonlinear control system in the presence of a running cost and a terminal cost with free terminal time we prove the existence of a patchy feedback whose trajectories are all nearly optimal solutions with preassigned accuracy | [['the', 'paper', 'is', 'concerned', 'with', 'a', 'general', 'optimization', 'problem', 'for', 'a', 'nonlinear', 'control', 'system', 'in', 'the', 'presence', 'of', 'a', 'running', 'cost', 'and', 'a', 'terminal', 'cost', 'with', 'free', 'terminal', 'time', 'we', 'prove', 'the', 'existence', 'of', 'a', 'patchy', 'feedback', 'whose', 'trajectories', 'are', 'all', 'nearly', 'optimal', 'solutions', 'with', 'preassigned', 'accuracy']] | [-0.22378326645319133, 0.03500470306050587, -0.036862814848489585, -0.0015013333474424607, -0.04729964489989141, -0.1877339778646351, 0.05100200546687429, 0.3545373157855678, -0.29073930801229275, -0.3213562533814222, 0.15716026207937442, -0.2664893176902006, -0.12559733095955342, 0.1786796672547117, -0.08115709811805728, 0.10580593515980116, 0.09073635238282224, 0.0610767527126727, -0.05998089525382966, -0.26208703410118184, 0.32345554424311096, 0.023875217012902523, 0.1995459376101164, 0.0048707051876377555, 0.2020048423016325, -0.007951221572473011, 0.04524867004774352, 0.08690315191980769, -0.11500329881698448, 0.12986309160329798, 0.23017014148942333, 0.08770122130877002, 0.3828479750676358, -0.37221772505089323, -0.19729226778083025, 0.14797034132433065, 0.09416622913224583, 0.10117947504399939, -0.08607978874104137, -0.1767444908618927, 0.08929743306671685, -0.11130875570976988, -0.16300255292035798, 0.030969581754997054, -0.024324172552912793, 0.0788563168402145, -0.3288105635091345, 0.06370505411177874, -0.005864514632427946, 0.03618939473055937, -0.11176284966356259, -0.02478292781086837, -0.03380415097196052, 0.10880444061129968, 0.025176273000010466, 0.013656299908031175, 0.07964654168748159, -0.1488282787192494, -0.1487298782597831, 0.39132041793237343, -0.05981235614819254, -0.2564196492287707, 0.19259206987322963, -0.09274581354111433, -0.09603085441197803, 0.19239457332073373, 0.21589125878118137, 0.17829229092185803, -0.16340664467041163, 0.10674915569611489, -0.045994227761997186, 0.1790171932587598, 0.04741118950372998, 0.030069921439404578, 0.13728257574814748, 0.2005215469708151, 0.19919924645070383, 0.14960255330190697, 0.021864783969965388, -0.11682616060282638, -0.3310986867055614, -0.1421471073470534, -0.11396113089830713, 0.06409084141016641, -0.08908529038648764, -0.18472199716625062, 0.39733775594133014, 0.08489630688378151, 0.20509403880606306, 0.18517677880268782, 0.31529958427269406, 0.17482025735080242, -0.050531519775060894, 0.15384471425390306, 0.1904152791867865, 0.03022201179942869, 0.10673001015241793, -0.24638863394353935, 0.0965634201990163, 0.040051293063988073] |
708.3898 | Geometric pi Josephson junction in d-wave superconducting thin films | A novel way to realize a pi Josephson junction is proposed, based on a weak
link in an unconventional d-wave superconductor with appropriately chosen
boundary geometry. The critical current of such a junction is calculated from a
fully selfconsistent solution of microscopic Eilenberger theory of
superconductivity. The results clearly show, that a transition to a pi
Josephson junction occurs for both low temperatures and small sizes of the
geometry.
| cond-mat.supr-con | a novel way to realize a pi josephson junction is proposed based on a weak link in an unconventional dwave superconductor with appropriately chosen boundary geometry the critical current of such a junction is calculated from a fully selfconsistent solution of microscopic eilenberger theory of superconductivity the results clearly show that a transition to a pi josephson junction occurs for both low temperatures and small sizes of the geometry | [['a', 'novel', 'way', 'to', 'realize', 'a', 'pi', 'josephson', 'junction', 'is', 'proposed', 'based', 'on', 'a', 'weak', 'link', 'in', 'an', 'unconventional', 'dwave', 'superconductor', 'with', 'appropriately', 'chosen', 'boundary', 'geometry', 'the', 'critical', 'current', 'of', 'such', 'a', 'junction', 'is', 'calculated', 'from', 'a', 'fully', 'selfconsistent', 'solution', 'of', 'microscopic', 'eilenberger', 'theory', 'of', 'superconductivity', 'the', 'results', 'clearly', 'show', 'that', 'a', 'transition', 'to', 'a', 'pi', 'josephson', 'junction', 'occurs', 'for', 'both', 'low', 'temperatures', 'and', 'small', 'sizes', 'of', 'the', 'geometry']] | [-0.25325563055314665, 0.1315309093453992, -0.10268418412601603, 0.04563801038159948, -0.07766253178925726, -0.20134353309032926, 0.11984811087334664, 0.32089552257641935, -0.23480404122476128, -0.2354678210761884, -0.024680276376033282, -0.27511826216958574, -0.13294506317301505, 0.17870034337502674, 0.009386667651056812, 0.04197560364137525, -0.024190988162181515, -0.00512302825919123, -0.1235348043281693, -0.12791835770442866, 0.3323310434993734, -0.03538147640832956, 0.37195128556070983, 0.08164038627907849, 0.07137292340073896, -0.07136689955908534, 0.15730456368781734, 0.09174015673309349, -0.16623117382339947, 0.03796203997310089, 0.27479468599177787, -0.07512051213289732, 0.17811607160484014, -0.4883303854452527, -0.2051075377865978, -0.012060261078421836, 0.1353773148291731, 0.16963444569188615, -0.05498865556032599, -0.314654432669066, 0.11528472020628228, -0.1578591593230764, -0.11151008676413608, -0.05728589827059836, -0.00015593569833731306, -0.02586923601726691, -0.2700552708347854, 0.013775104521841242, 0.00939551894755467, 0.04031837618221407, -0.006032087354232435, -0.07264448970006239, -0.031470651819330196, 0.03454691093361032, -0.016580610907218164, 0.08100882734752436, 0.12458972479014294, -0.13230521249098945, -0.0900034083566372, 0.3047193932495471, -0.057819538830739, -0.14312626677902712, 0.15809122218237515, -0.1087317996509913, -0.04491630797881795, 0.13959924878714525, 0.07794419845458174, 0.10585381560351538, -0.19593065624813671, 0.09135400011512937, -0.05429931885083678, 0.17324662075944894, 0.01153833458227092, 0.0167326793897951, 0.26400075447948085, 0.267930932464483, 0.06795614032560716, 0.11715198794474313, -0.12101223919729608, -0.07384203806303549, -0.33988059900593065, -0.1515405855708472, -0.22342078954629277, 0.08269745391537098, -0.07544413968170757, -0.24305138450817784, 0.3838317236471651, 0.1751494239070925, 0.25203737706971774, -0.019520791706399643, 0.2833804656157567, 0.17266425208283076, 0.05218868192447269, 0.027305351819951033, 0.19601594718794027, 0.18456731912801447, 0.08851468841801735, -0.3081777045854192, 0.04061409823623472, 0.03121632144556961] |
708.3899 | Negative Komar Masses in Regular Stationary Spacetimes | A highly accurate multi-domain spectral method is used to study axially
symmetric and stationary spacetimes containing a black hole or disc of dust
surrounded by a ring of matter. It is shown that the matter ring can affect the
properties of the central object drastically. In particular, by virtue of the
ring's frame dragging, the so-called Komar mass of the black hole or disc can
become negative. A continuous transition from such discs to such black holes
can be found.
| gr-qc | a highly accurate multidomain spectral method is used to study axially symmetric and stationary spacetimes containing a black hole or disc of dust surrounded by a ring of matter it is shown that the matter ring can affect the properties of the central object drastically in particular by virtue of the rings frame dragging the socalled komar mass of the black hole or disc can become negative a continuous transition from such discs to such black holes can be found | [['a', 'highly', 'accurate', 'multidomain', 'spectral', 'method', 'is', 'used', 'to', 'study', 'axially', 'symmetric', 'and', 'stationary', 'spacetimes', 'containing', 'a', 'black', 'hole', 'or', 'disc', 'of', 'dust', 'surrounded', 'by', 'a', 'ring', 'of', 'matter', 'it', 'is', 'shown', 'that', 'the', 'matter', 'ring', 'can', 'affect', 'the', 'properties', 'of', 'the', 'central', 'object', 'drastically', 'in', 'particular', 'by', 'virtue', 'of', 'the', 'rings', 'frame', 'dragging', 'the', 'socalled', 'komar', 'mass', 'of', 'the', 'black', 'hole', 'or', 'disc', 'can', 'become', 'negative', 'a', 'continuous', 'transition', 'from', 'such', 'discs', 'to', 'such', 'black', 'holes', 'can', 'be', 'found']] | [-0.13339844065340004, 0.09102030635549455, -0.09367997708832262, 0.10784145714860642, -0.07374953490507323, -0.11445403625257314, -0.07328425113810226, 0.3529482597950846, -0.21096967882476747, -0.2898245944175869, 0.10721497921476839, -0.2584639911539853, -0.06889102679560892, 0.19498485808144322, -0.07644361675484106, 0.03434808410238475, -0.010826270282268523, 0.03277167472988367, -0.09879632916999981, -0.17020368597004562, 0.38796176789328457, 0.08192782246042044, 0.18956056695897133, -0.02171918527164962, 0.06103218151256442, -0.024760619195876642, 0.005919547531811986, 0.10168437766842545, -0.11400217589625754, 0.07682233959785663, 0.20166180292144417, 0.09226484426762908, 0.19700525989755988, -0.40335398372262715, -0.23082010336220266, 0.10746869268768933, 0.19010124906781128, 0.14196048008743672, -0.14002045658417045, -0.2762745266867569, 0.10797831596864853, -0.27723516706901136, -0.1701454975642264, -0.029582048373413272, 0.08528411352308467, 0.009626119487802499, -0.23995989250252023, 0.12059273048944305, 0.12229448680300266, -0.09394053876458201, -0.10858053416013717, -0.016179644467774777, -0.11051549806725233, 0.06786828960175625, 0.08104873462871183, 0.02935091622348409, 0.26799211506731807, -0.11375096866395325, -0.05217696065665223, 0.40830304683186114, -0.061780897647258824, -0.18095103513915092, 0.19426054646028207, -0.2543792150914669, -0.032152116055658556, 0.1654186792613473, 0.15161154340021313, 0.23675057684304193, -0.12056682240217924, 0.09899002494566958, -0.042106096330098805, 0.19538603823602899, 0.1325080901500769, 0.04107351618004031, 0.46944281267933546, 0.10002373297829763, 0.02145922891868395, 0.1709201697129174, -0.06916492870077491, -0.07289501834529802, -0.2221301554236561, -0.15496928909687996, -0.1919377989775967, 0.09652354763820767, -0.12409278795221326, -0.19843629823408265, 0.34119468947174025, 0.03538566558272578, 0.20467997072264552, -0.060368090437259526, 0.23482496100136813, 0.06772676683031023, 0.07727925649378449, 0.12934492781059817, 0.29578242294956, 0.13863522218889557, 0.09669757053488866, -0.22436860211601015, 0.0016256170873930388, 0.07665372086921707] |
708.39 | Inference from correlated patterns: a unified theory for perceptron
learning and linear vector channels | A framework to analyze inference performance in densely connected
single-layer feed-forward networks is developed for situations where a given
data set is composed of correlated patterns. The framework is based on the
assumption that the left and right singular value bases of the given pattern
matrix are generated independently and uniformly from Haar measures. This
assumption makes it possible to characterize the objective system by a single
function of two variables which is determined by the eigenvalue spectrum of the
cross-correlation matrix of the pattern matrix. Links to existing methods for
analysis of perceptron learning and Gaussian linear vector channels and an
application to a simple but nontrivial problem are also shown.
| cs.IT cond-mat.dis-nn math.IT | a framework to analyze inference performance in densely connected singlelayer feedforward networks is developed for situations where a given data set is composed of correlated patterns the framework is based on the assumption that the left and right singular value bases of the given pattern matrix are generated independently and uniformly from haar measures this assumption makes it possible to characterize the objective system by a single function of two variables which is determined by the eigenvalue spectrum of the crosscorrelation matrix of the pattern matrix links to existing methods for analysis of perceptron learning and gaussian linear vector channels and an application to a simple but nontrivial problem are also shown | [['a', 'framework', 'to', 'analyze', 'inference', 'performance', 'in', 'densely', 'connected', 'singlelayer', 'feedforward', 'networks', 'is', 'developed', 'for', 'situations', 'where', 'a', 'given', 'data', 'set', 'is', 'composed', 'of', 'correlated', 'patterns', 'the', 'framework', 'is', 'based', 'on', 'the', 'assumption', 'that', 'the', 'left', 'and', 'right', 'singular', 'value', 'bases', 'of', 'the', 'given', 'pattern', 'matrix', 'are', 'generated', 'independently', 'and', 'uniformly', 'from', 'haar', 'measures', 'this', 'assumption', 'makes', 'it', 'possible', 'to', 'characterize', 'the', 'objective', 'system', 'by', 'a', 'single', 'function', 'of', 'two', 'variables', 'which', 'is', 'determined', 'by', 'the', 'eigenvalue', 'spectrum', 'of', 'the', 'crosscorrelation', 'matrix', 'of', 'the', 'pattern', 'matrix', 'links', 'to', 'existing', 'methods', 'for', 'analysis', 'of', 'perceptron', 'learning', 'and', 'gaussian', 'linear', 'vector', 'channels', 'and', 'an', 'application', 'to', 'a', 'simple', 'but', 'nontrivial', 'problem', 'are', 'also', 'shown']] | [-0.10584598497475131, 0.06645264715721819, -0.06647565333904433, 0.042101602451501616, -0.06465993346396967, -0.16063868930463546, 0.03808541834379347, 0.3996665544940957, -0.329449520729083, -0.23673441715904378, 0.11118653249390523, -0.2901286459860525, -0.21202302759047598, 0.17624074276786164, -0.052802729416206215, 0.10472954018041492, 0.06674167602821919, 0.08505640199499405, -0.05775173053708776, -0.22941176152588533, 0.3651933960749635, 0.023433993503983532, 0.32178418401495684, -0.010500369256728195, 0.12235915522718901, 0.008049869500350073, -0.04713054258900229, 0.010713915797948306, -0.051787059787719567, 0.1311517137354323, 0.2476043794886209, 0.1603214350678692, 0.26471285470428746, -0.384046108910947, -0.18788140501627432, 0.1442620515839995, 0.11075707050206672, 0.04329042609294577, 0.0060174841315269335, -0.2852752635621333, 0.1388588928873235, -0.1319954154252108, -0.08087653510821317, -0.07394146434255942, 0.003931975191725152, -0.005076671701057681, -0.3508327291118413, 0.04242816501495587, 0.05439515685637681, 0.02237148680225281, -0.025393171382477573, -0.11070425159726126, 0.024261695679992305, 0.11032839772191697, 0.015546651399095677, 0.016547867770506337, 0.12241385796888997, -0.1050793877054405, -0.0974219742513794, 0.34336621682034874, -0.05238521888843804, -0.26184331086733437, 0.14808228835421947, -0.08991610354860313, -0.10338796870824549, 0.09085160558710673, 0.16684551402327738, 0.1134173816494045, -0.1948486236007219, 0.07460106430101275, -0.07960052991984412, 0.1774040363878677, 0.03238690716898418, -0.0018282331792371614, 0.15821819045231678, 0.16430120267406373, 0.08736100206650528, 0.1302853937792991, -0.05423051778468237, -0.09317378446212388, -0.2495264572353335, -0.09700384652283642, -0.2438003669376485, 0.007240498815917817, -0.08282138819621261, -0.20203873046219606, 0.4330895091407001, 0.10490730016525569, 0.2266849857239452, 0.07634065173936376, 0.29600804689939003, 0.11778305368261499, 0.0534394108025091, 0.08391657599713653, 0.16702129595588694, 0.17904175395337266, 0.04834134680485087, -0.13831877447124238, 0.08252644076544259, 0.05764139164654937] |
708.3901 | Coarse categories I: foundations | Following Roe and others (see, e.g., [MR1451755]), we (re)develop coarse
geometry from the foundations, taking a categorical point of view. In this
paper, we concentrate on the discrete case in which topology plays no role. Our
theory is particularly suited to the development of the_Roe (C*-)algebras_
C*(X) and their K-theory on the analytic side; we also hope that it will be of
use in the strictly geometric/algebraic setting of controlled topology and
algebra. We leave these topics to future papers.
Crucial to our approach are nonunital coarse spaces, and what we call
_locally proper_ maps (which are actually implicit in [MR1988817]). Our_coarse
category_ Crs generalizes the usual one: its objects are nonunital coarse
spaces and its morphisms (locally proper) coarse maps modulo_closeness_. Crs is
much richer than the usual unital coarse category. As such, it has all nonzero
limits and all colimits. We examine various other categorical issues. E.g., Crs
does not have a terminal object, so we substitute a_termination functor_ which
will be important in the development of exponential objects (i.e., "function
spaces") and also leads to a notion of_quotient coarse spaces_. To connect our
methods with the standard methods, we also examine the relationship between Crs
and the usual coarse category of Roe.
Finally we briefly discuss some basic examples and applications. Topics
include_metric coarse spaces_,_continuous control_ [MR1277522], metric and
continuously controlled_coarse simplices_,_sigma-coarse spaces_ [MR2225040],
and the relation between quotient coarse spaces and the K-theory of Roe
algebras (of particular interest for continuously controlled coarse spaces).
| math.MG math.GT | following roe and others see eg mr1451755 we redevelop coarse geometry from the foundations taking a categorical point of view in this paper we concentrate on the discrete case in which topology plays no role our theory is particularly suited to the development of the_roe calgebras_ cx and their ktheory on the analytic side we also hope that it will be of use in the strictly geometricalgebraic setting of controlled topology and algebra we leave these topics to future papers crucial to our approach are nonunital coarse spaces and what we call _locally proper_ maps which are actually implicit in mr1988817 our_coarse category_ crs generalizes the usual one its objects are nonunital coarse spaces and its morphisms locally proper coarse maps modulo_closeness_ crs is much richer than the usual unital coarse category as such it has all nonzero limits and all colimits we examine various other categorical issues eg crs does not have a terminal object so we substitute a_termination functor_ which will be important in the development of exponential objects ie function spaces and also leads to a notion of_quotient coarse spaces_ to connect our methods with the standard methods we also examine the relationship between crs and the usual coarse category of roe finally we briefly discuss some basic examples and applications topics include_metric coarse spaces__continuous control_ mr1277522 metric and continuously controlled_coarse simplices__sigmacoarse spaces_ mr2225040 and the relation between quotient coarse spaces and the ktheory of roe algebras of particular interest for continuously controlled coarse spaces | [['following', 'roe', 'and', 'others', 'see', 'eg', 'mr1451755', 'we', 'redevelop', 'coarse', 'geometry', 'from', 'the', 'foundations', 'taking', 'a', 'categorical', 'point', 'of', 'view', 'in', 'this', 'paper', 'we', 'concentrate', 'on', 'the', 'discrete', 'case', 'in', 'which', 'topology', 'plays', 'no', 'role', 'our', 'theory', 'is', 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708.3902 | B2 1144+35B, a giant low power radio galaxy with superluminal motion.
Orientation and evidence for recurrent activity | The goal of this work is a detailed study of the nearby, low power radio
galaxy B2 1144+35B. For this purpose, we performed new Very Long Baseline Array
(VLBA) and Very Large Array (VLA) observations. This source has several
properties (bright, nearby, large range of spatial structures, visible
counterjet, etc.) that make it an excellent astrophysical laboratory for the
study of the evolution of radio jets. Here we report the detection of motion in
the counterjet at 0.23 $\pm$ 0.07 c, which allows us to estimate the
orientation of the parsec-scale jet at 33$^\circ \pm 7^\circ$ from the line of
sight, with an intrinsic velocity of (0.94$^{+0.06}_{-0.11}$)c. We also report
on a brightening of the core at high frequencies which we suggest could be the
result of a new component emerging from the core. High dynamic range VLBA
observations at 5 GHz reveal, for the first time, extended emission connecting
the core with the bright complex of emission that dominates the flux density of
the parsec scale structure at frequencies below 20 GHz. The evolution of this
bright complex is considered and its slow decline in flux density is
interpreted as the result of an interaction with the interstellar medium of the
host galaxy.
| astro-ph | the goal of this work is a detailed study of the nearby low power radio galaxy b2 114435b for this purpose we performed new very long baseline array vlba and very large array vla observations this source has several properties bright nearby large range of spatial structures visible counterjet etc that make it an excellent astrophysical laboratory for the study of the evolution of radio jets here we report the detection of motion in the counterjet at 023 pm 007 c which allows us to estimate the orientation of the parsecscale jet at 33circ pm 7circ from the line of sight with an intrinsic velocity of 094006_011c we also report on a brightening of the core at high frequencies which we suggest could be the result of a new component emerging from the core high dynamic range vlba observations at 5 ghz reveal for the first time extended emission connecting the core with the bright complex of emission that dominates the flux density of the parsec scale structure at frequencies below 20 ghz the evolution of this bright complex is considered and its slow decline in flux density is interpreted as the result of an interaction with the interstellar medium of the host galaxy | [['the', 'goal', 'of', 'this', 'work', 'is', 'a', 'detailed', 'study', 'of', 'the', 'nearby', 'low', 'power', 'radio', 'galaxy', 'b2', '114435b', 'for', 'this', 'purpose', 'we', 'performed', 'new', 'very', 'long', 'baseline', 'array', 'vlba', 'and', 'very', 'large', 'array', 'vla', 'observations', 'this', 'source', 'has', 'several', 'properties', 'bright', 'nearby', 'large', 'range', 'of', 'spatial', 'structures', 'visible', 'counterjet', 'etc', 'that', 'make', 'it', 'an', 'excellent', 'astrophysical', 'laboratory', 'for', 'the', 'study', 'of', 'the', 'evolution', 'of', 'radio', 'jets', 'here', 'we', 'report', 'the', 'detection', 'of', 'motion', 'in', 'the', 'counterjet', 'at', '023', 'pm', '007', 'c', 'which', 'allows', 'us', 'to', 'estimate', 'the', 'orientation', 'of', 'the', 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708.3903 | Packing defects and the width of biopolymer bundles | The formation of bundles composed of actin filaments and cross-linking
proteins is an essential process in the maintenance of the cells' cytoskeleton.
It has also been recreated by in-vitro experiments, where actin networks are
routinely produced to mimic and study the cellular structures. It has long been
observed that these bundles seem to have a well defined width distribution,
which has not been adequately described theoretically. We propose here that
packing defects of the filaments, quenched and random, contribute an effective
repulsion that counters the cross-linking adhesion energy and leads to a well
defined bundle width. This is a two-dimensional strain-field version of the
classic Rayleigh instability of charged droplets.
| cond-mat.soft | the formation of bundles composed of actin filaments and crosslinking proteins is an essential process in the maintenance of the cells cytoskeleton it has also been recreated by invitro experiments where actin networks are routinely produced to mimic and study the cellular structures it has long been observed that these bundles seem to have a well defined width distribution which has not been adequately described theoretically we propose here that packing defects of the filaments quenched and random contribute an effective repulsion that counters the crosslinking adhesion energy and leads to a well defined bundle width this is a twodimensional strainfield version of the classic rayleigh instability of charged droplets | [['the', 'formation', 'of', 'bundles', 'composed', 'of', 'actin', 'filaments', 'and', 'crosslinking', 'proteins', 'is', 'an', 'essential', 'process', 'in', 'the', 'maintenance', 'of', 'the', 'cells', 'cytoskeleton', 'it', 'has', 'also', 'been', 'recreated', 'by', 'invitro', 'experiments', 'where', 'actin', 'networks', 'are', 'routinely', 'produced', 'to', 'mimic', 'and', 'study', 'the', 'cellular', 'structures', 'it', 'has', 'long', 'been', 'observed', 'that', 'these', 'bundles', 'seem', 'to', 'have', 'a', 'well', 'defined', 'width', 'distribution', 'which', 'has', 'not', 'been', 'adequately', 'described', 'theoretically', 'we', 'propose', 'here', 'that', 'packing', 'defects', 'of', 'the', 'filaments', 'quenched', 'and', 'random', 'contribute', 'an', 'effective', 'repulsion', 'that', 'counters', 'the', 'crosslinking', 'adhesion', 'energy', 'and', 'leads', 'to', 'a', 'well', 'defined', 'bundle', 'width', 'this', 'is', 'a', 'twodimensional', 'strainfield', 'version', 'of', 'the', 'classic', 'rayleigh', 'instability', 'of', 'charged', 'droplets']] | [-0.13860949276819487, 0.19667940692346417, -0.05358800626444546, 0.048428146177668004, -0.018508949837732044, -0.12164613409814509, -0.02130493991902437, 0.4326855207031423, -0.2521278970028189, -0.25443823242729363, 0.05737721762535247, -0.23070232421159745, -0.21339055097407916, 0.09460538652810184, -0.03852068372494118, 0.054438806443729185, 0.020890106887302615, -0.00749958073720336, 0.09144222589146177, -0.22826379539381544, 0.25152066792784766, 0.11060180424035272, 0.31725884766995227, 0.10647434565153989, 0.09627996229312637, -0.048918583711863244, 0.03079342448406599, 0.06708600309423425, -0.16504117911569086, 0.09517319711263884, 0.22540973477404225, 0.04387140038465573, 0.23747585337947716, -0.4786749007011002, -0.2707684038048187, 0.14277938451956618, 0.2274692948272621, 0.08229173559758982, -0.021504354840991172, -0.2513976953373375, 0.09426300904332575, -0.1505844520616599, -0.11482743434184654, -0.061169755763628264, 0.04269834203137593, 0.1020935215627436, -0.1965765808116306, 0.057442287221783773, 0.058171497874321756, 0.05681335305244747, -0.06803369475528598, -0.04216469200327992, -0.07698166935958646, 0.11620088497769426, 0.05353544357693119, 0.017694814486259765, 0.2542235195615583, -0.11505437688690356, -0.13008327008521353, 0.3865646847269752, 0.0046897655268284405, -0.1955360347659073, 0.19672350663776425, -0.08129298592049798, -0.11680047819814221, 0.1918806050396101, 0.14054070279340852, 0.09025919466194782, -0.1439724331806329, 0.01727302736313008, -0.09254091285190291, 0.16744172671513463, 0.08738393090369011, -0.02594130010852082, 0.21830972379750826, 0.2594083708033643, 0.006899518375708298, 0.11949872973967682, -0.09912264260294085, -0.11379291536286473, -0.21482427356426012, -0.17596206346696072, -0.15202780626925894, 0.0757432769847748, -0.003854902113512666, -0.21859701570462098, 0.34804070146585053, 0.05667914518747817, 0.24254750404612754, 0.05141291929176077, 0.23995153417980128, 0.04887304117225788, 0.1651176964673637, 0.012196911917999386, 0.25218605798753824, 0.18598440179643644, 0.10032997811636464, -0.19819772140630945, 0.10545054791833866, 0.03155294985256412] |
708.3904 | Exact wave functions of electron in a quantum dot with account of the
Rashba spin-orbit interaction | We present the exact wave functions and energy levels of electron in a
two-dimensional circular quantum dot in the presence of the Rashba spin-orbit
interaction. The confinement is described by the realistic potential well of
finite depth.
| math-ph cond-mat.other math.MP quant-ph | we present the exact wave functions and energy levels of electron in a twodimensional circular quantum dot in the presence of the rashba spinorbit interaction the confinement is described by the realistic potential well of finite depth | [['we', 'present', 'the', 'exact', 'wave', 'functions', 'and', 'energy', 'levels', 'of', 'electron', 'in', 'a', 'twodimensional', 'circular', 'quantum', 'dot', 'in', 'the', 'presence', 'of', 'the', 'rashba', 'spinorbit', 'interaction', 'the', 'confinement', 'is', 'described', 'by', 'the', 'realistic', 'potential', 'well', 'of', 'finite', 'depth']] | [-0.21815113552116058, 0.1694138603083588, 0.028176010775102955, 0.0750561190574002, 0.048900497976589845, -0.13060652654668367, -0.01485509824360142, 0.36529977075956965, -0.24867973652844494, -0.2942127323130498, -0.033806243854751054, -0.25832158256624194, -0.1161965974732428, 0.1651357742328499, 0.055553052146491165, 0.09884353100347358, 0.0012289365451480891, -0.024512850553602784, -0.09625740014520046, -0.17955737722081108, 0.3463934401704653, 0.055704802007263375, 0.25886343904091297, 0.16583596920040813, 0.07451576180756092, 0.0805710340359223, 0.09918874667051274, 0.026367454965775076, -0.1243634513151404, 0.08312540581902943, 0.18958715545925992, -0.08402067815532556, 0.22063266506066193, -0.47675171982799025, -0.23428576688810782, -0.014575630527090383, 0.12978102543668166, 0.17914406471961253, -0.08551157293589534, -0.32717653112234296, -0.02415399531506606, -0.21048368282012037, -0.18549476502261855, -0.02589793241507298, 0.023434977487635775, 0.08263391759750005, -0.26706761534552315, 0.12433887625465521, 0.043738864390557075, 0.050321897516983585, -0.0973901633878012, -0.04977052213271727, -0.030521134915132378, 0.09140144830972359, -0.008761545756479373, 0.03315274403556376, 0.12726877344067436, -0.17924501102518392, -0.09283976751455181, 0.4056830679544726, -0.11223057420873964, -0.22436621538489251, 0.16043902017377518, -0.20388946777864084, 0.008354311859285509, 0.109683287707535, 0.15515981189201813, 0.07955895105024448, -0.10535447986645473, 0.1907385643935413, -0.03703594721210302, 0.10178448365548172, 0.01162740817243183, 0.07447883209868057, 0.2652865290088025, 0.168887307615699, 0.04298971520384421, 0.1531143714296254, -0.15821834563000783, -0.09457837128256624, -0.2809444714236904, -0.1353004666492091, -0.2602163016594745, 0.07580146371077029, -0.057380593519868656, -0.20513050990632256, 0.4742189734368711, 0.10571135253318258, 0.15160980278223352, -0.042313569426737925, 0.3166807789254833, 0.20908158128401516, 0.05587567183868708, 0.01108745885761203, 0.2778196127179104, 0.1622816850871754, 0.0359328704558917, -0.3286674623094449, -0.0298831882584538, 0.009194429611434808] |
708.3905 | Top Quark Spin Polarization in e \gamma Collision | We investigate the degree of spin polarization of single top quarks in the
$e\gamma$ collision via the process $e^{+} \gamma \to t \bar{b} \bar{\nu_{e}}$
with center of mass energies $\sqrt{s}$=0.5, 1 and 1.5 TeV of the parental
linear $e^{+}e^{-}$ collider. Dominant spin fractions and spin asymmetries for
the various top quark spin bases are investigated. We show that $e^{+}$-beam
direction is the favorite top quark spin decomposition axis. It is found to be
comparable with the ones in $pp$ and $ep$ collisions.
| hep-ph | we investigate the degree of spin polarization of single top quarks in the egamma collision via the process e gamma to t barb barnu_e with center of mass energies sqrts05 1 and 15 tev of the parental linear ee collider dominant spin fractions and spin asymmetries for the various top quark spin bases are investigated we show that ebeam direction is the favorite top quark spin decomposition axis it is found to be comparable with the ones in pp and ep collisions | [['we', 'investigate', 'the', 'degree', 'of', 'spin', 'polarization', 'of', 'single', 'top', 'quarks', 'in', 'the', 'egamma', 'collision', 'via', 'the', 'process', 'e', 'gamma', 'to', 't', 'barb', 'barnu_e', 'with', 'center', 'of', 'mass', 'energies', 'sqrts05', '1', 'and', '15', 'tev', 'of', 'the', 'parental', 'linear', 'ee', 'collider', 'dominant', 'spin', 'fractions', 'and', 'spin', 'asymmetries', 'for', 'the', 'various', 'top', 'quark', 'spin', 'bases', 'are', 'investigated', 'we', 'show', 'that', 'ebeam', 'direction', 'is', 'the', 'favorite', 'top', 'quark', 'spin', 'decomposition', 'axis', 'it', 'is', 'found', 'to', 'be', 'comparable', 'with', 'the', 'ones', 'in', 'pp', 'and', 'ep', 'collisions']] | [-0.08187588576295572, 0.27142640555038955, -0.04293130448733303, 0.09868187781664413, -0.029801294309791268, -0.11738466213900232, 0.008205797537457107, 0.38485704407538857, -0.2644037576789809, -0.2318119466668222, -0.02725867979603297, -0.3347357459956916, 0.08224832302913433, 0.14912019751784278, 0.1375612727616255, 0.061776596990345815, 0.10399397533307443, 0.009395771989280858, -0.04524702052642569, -0.2088028038624765, 0.25788543404579706, 0.053113728614024275, 0.22409917816247155, 0.1214449276250401, 0.060090051873064626, 0.07164826395171808, 0.0026944770432281787, -0.08725660749165932, -0.09074226194730373, 0.03767419643820797, 0.2099025267809516, 0.020251939428839606, 0.07454768211648959, -0.3408022022056507, -0.04396678665766447, 0.12925737480655675, 0.1058172963463088, 0.07605508876192134, -0.03754970986714087, -0.25071357765871033, 0.1572076482016866, -0.2476159911874253, -0.1264945162323917, -0.018584894879562098, 0.05561742401488761, -0.026532526140860085, -0.3136761338881603, 0.09387353381778045, 0.01562621219583401, 0.03494678976059687, 0.011524508201812462, -0.2585325126945064, -0.15614071292603934, -0.03995396595493686, 0.10872964246912643, 0.10327064382798243, 0.21538938215661158, -0.13193837536084352, -0.2384994158339573, 0.37051461627934035, -0.04972724813723755, -0.1746910039204877, 0.1984815994765973, -0.2722929674484653, -0.09451296988863317, 0.1267145295661488, 0.24417076678946614, 0.10079474692096616, -0.17565521190692557, 0.13199431095172923, -0.002237286500663996, 0.14731391030931618, 0.13255004496767936, 0.0269441415240602, 0.24491336779305484, 0.19737303021886363, 0.043189431552025606, 0.06389365048664508, -0.18143607691361954, -0.04134538499979166, -0.3229190716108239, -0.15338629427104733, -0.10780256726529176, 0.1036026163180018, -0.0726452098540726, -0.03446680106216951, 0.3845523939604258, 0.06792201521442975, 0.291714758458888, -0.046085659275399295, 0.24788994568388728, 0.11646571892836108, 0.054767804775776044, 0.10927885787035538, 0.29220103436126943, 0.202823495969358, 0.1420883895465877, -0.27871052051962514, 0.025632918187666956, 0.01967012918009082] |
708.3906 | Magnesium Isotopes in Halo Stars | We have determined Mg isotope ratios in halo field dwarfs and giants in the
globular cluster M71 based on high S/N high spectral resolution (R = 10$^5$)
Keck HIRES spectra. Unlike previous claims of an important contribution from
intermediate-mass AGB stars to the Galactic halo, we find that our
$^{26}$Mg/$^{24}$Mg ratios can be explained by massive stars.
| astro-ph | we have determined mg isotope ratios in halo field dwarfs and giants in the globular cluster m71 based on high sn high spectral resolution r 105 keck hires spectra unlike previous claims of an important contribution from intermediatemass agb stars to the galactic halo we find that our 26mg24mg ratios can be explained by massive stars | [['we', 'have', 'determined', 'mg', 'isotope', 'ratios', 'in', 'halo', 'field', 'dwarfs', 'and', 'giants', 'in', 'the', 'globular', 'cluster', 'm71', 'based', 'on', 'high', 'sn', 'high', 'spectral', 'resolution', 'r', '105', 'keck', 'hires', 'spectra', 'unlike', 'previous', 'claims', 'of', 'an', 'important', 'contribution', 'from', 'intermediatemass', 'agb', 'stars', 'to', 'the', 'galactic', 'halo', 'we', 'find', 'that', 'our', '26mg24mg', 'ratios', 'can', 'be', 'explained', 'by', 'massive', 'stars']] | [-0.008094835036899894, 0.13550745669454045, -0.05109349585005215, 0.09430845309647598, -0.1194965705175751, -0.03290702226305647, 0.05510564334690571, 0.4625818670860359, -0.027851444490417116, -0.38676624888155076, -0.06016008602871027, -0.3279848403763026, 0.029887532848598703, 0.17156130424700677, -0.11561977073350656, -0.09845967696414196, 0.16251195847455943, -0.10058492818747514, -0.016513531316637194, -0.33616913475062965, 0.3058395375431116, 0.099316111898848, 0.12233513354190759, -0.09118936222512275, 0.002815107097766096, -0.1729701659143237, -0.0822297660467614, -0.013033721429694976, -0.19267437230012416, -0.003395054289805038, 0.2789792296742754, 0.1859302107727022, 0.12981416870440757, -0.3156657356469493, -0.18668661650735885, 0.02606344995521275, 0.31716438283079434, 0.00989208568353206, -0.13416234887180117, -0.2598814189301005, 0.1242107010579535, -0.21221521197419083, -0.1891743942978792, 0.06247871485538781, 0.012182023636082054, 0.05659196339547634, -0.21840046550745942, 0.12032517789547066, 0.020503136462398937, 0.15787130684475414, -0.12644940254644357, -0.2690635113041416, -0.04727589020954578, 0.01935876364586875, 0.016516180326496915, 0.014656164849709188, 0.15926702561721737, -0.06233415865738477, 0.018816742347553372, 0.3932322348867144, -0.1948746372405107, 0.07443549990265248, 0.21441064113501593, -0.2417624546298092, -0.24540962367817493, 0.09551536251923867, 0.1201666795947988, 0.18717394293551998, -0.16929522184987686, 0.051640904806845356, 0.016084314764676883, 0.22587331979801611, 0.07366417282693354, 0.06956483032055465, 0.3504468936340085, 0.07445692530018277, -0.0015431341723472411, -0.030076971876301935, -0.28590313160176656, 0.008894611748733692, -0.12516899690464406, -0.09633859158826194, -0.13432496539774416, 0.11762454438888069, -0.21774827134270577, -0.08478162417720471, 0.23680415704698785, 0.08957809701678343, 0.2522813632094767, -0.017551474140158722, 0.29969214278805467, 0.1044574031184311, 0.13772749956375005, 0.10121817737152534, 0.35269388889095615, 0.2594540623291063, 0.10093861178029329, -0.30407780320300454, 0.05320754109249849, -0.0030653047100973447] |
708.3907 | Modules with reducible complexity | For a commutative Noetherian local ring we define and study the class of
modules having reducible complexity, a class containing all modules of finite
complete intersection dimension. Various properties of this class of modules
are given, together with results on the vanishing of homology and cohomology.
| math.AC | for a commutative noetherian local ring we define and study the class of modules having reducible complexity a class containing all modules of finite complete intersection dimension various properties of this class of modules are given together with results on the vanishing of homology and cohomology | [['for', 'a', 'commutative', 'noetherian', 'local', 'ring', 'we', 'define', 'and', 'study', 'the', 'class', 'of', 'modules', 'having', 'reducible', 'complexity', 'a', 'class', 'containing', 'all', 'modules', 'of', 'finite', 'complete', 'intersection', 'dimension', 'various', 'properties', 'of', 'this', 'class', 'of', 'modules', 'are', 'given', 'together', 'with', 'results', 'on', 'the', 'vanishing', 'of', 'homology', 'and', 'cohomology']] | [-0.22585291024702397, 0.027917356341672334, -0.021173380133088514, 0.015375038231824241, -0.08340745035093278, -0.16368547019184285, -0.08237859458946016, 0.3090370264127041, -0.3594324985195113, -0.1910352723106094, 0.13159004493069876, -0.21109611435752848, -0.08759377267130691, 0.18718242513663744, -0.13865826619060143, -0.04226381487577506, 0.06427532693614131, 0.11619313028843506, -0.10570929944515228, -0.31859493320402893, 0.4717478011532322, -0.054867568547311035, 0.22111808275803924, 0.029014307843602222, 0.12275024645192467, 0.030031514961434448, -0.06379522907081991, 0.11084116533722567, -0.175239822321126, 0.16302218685007613, 0.35531891254789155, 0.04216475077682053, 0.20603898208102453, -0.3602887519189845, -0.08538463059812784, 0.23984207259491086, 0.06308926481490387, 0.022469443997935108, -0.014159470424562207, -0.22525240869625754, 0.20000035647788775, -0.24984173219063846, -0.14604837868524634, -0.08815709284871169, 0.05579088687005898, 0.07859567305295849, -0.2255776100994452, -0.033323576491650034, 0.08051539921080289, 0.2010905233859692, -0.10357103914872784, -0.06298146710690597, -0.04039793375768173, 0.1048970028692249, -0.11183905686535266, -0.05751795495313633, 0.10671797642767754, -0.11927507967060513, -0.16567370923155028, 0.31879846515822347, -0.04873232015044145, -0.22300736327230444, 0.2192299394139453, -0.18964926594787318, -0.1891175424983806, 0.15670488349607456, 0.05175563109957654, 0.16871938797766747, -0.03544167149811983, 0.2094277422849858, -0.14110633277374765, 0.03649727514256602, 0.04644077013084746, 0.11746739203353292, 0.14867011400992455, 0.12639178935964795, 0.07115716726137021, 0.17968983614675538, 0.008360549367194913, -0.029828200916476224, -0.382487157602673, -0.23711770812413938, -0.10120779729660843, 0.14164419832598904, -0.09827484434366773, -0.2191783351742703, 0.5283166863348173, 0.05287734348245937, 0.17313414131817612, 0.2074882589968974, 0.19688204398034545, -0.016960051619326292, 0.11035220932377421, 0.044403137780887926, 0.060373996171857354, 0.22430059147755738, -0.05036970584288887, -0.10454728863323512, -0.010826889415393058, 0.24052011112318092] |
708.3908 | Is critical 2D percolation universal? | The aim of this paper is to explore possible ways of extending Smirnov's
proof of Cardy's formula for critical site-percolation on the triangular
lattice to other cases (such as bond-percolation on the square lattice); the
main question we address is that of the choice of the lattice embedding into
the plane which gives rise to conformal invariance in the scaling limit. Even
though we were not able to produce a complete proof, we believe that the ideas
presented here go in the right direction.
| math.PR | the aim of this paper is to explore possible ways of extending smirnovs proof of cardys formula for critical sitepercolation on the triangular lattice to other cases such as bondpercolation on the square lattice the main question we address is that of the choice of the lattice embedding into the plane which gives rise to conformal invariance in the scaling limit even though we were not able to produce a complete proof we believe that the ideas presented here go in the right direction | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'explore', 'possible', 'ways', 'of', 'extending', 'smirnovs', 'proof', 'of', 'cardys', 'formula', 'for', 'critical', 'sitepercolation', 'on', 'the', 'triangular', 'lattice', 'to', 'other', 'cases', 'such', 'as', 'bondpercolation', 'on', 'the', 'square', 'lattice', 'the', 'main', 'question', 'we', 'address', 'is', 'that', 'of', 'the', 'choice', 'of', 'the', 'lattice', 'embedding', 'into', 'the', 'plane', 'which', 'gives', 'rise', 'to', 'conformal', 'invariance', 'in', 'the', 'scaling', 'limit', 'even', 'though', 'we', 'were', 'not', 'able', 'to', 'produce', 'a', 'complete', 'proof', 'we', 'believe', 'that', 'the', 'ideas', 'presented', 'here', 'go', 'in', 'the', 'right', 'direction']] | [-0.0857183766506967, 0.10088497981251705, -0.09161190275612864, 0.0648229167910315, -0.11093447503766843, -0.11924558028113097, 0.06551037318699639, 0.35057127697481993, -0.2633828687913982, -0.23265541329359016, 0.12147646230213079, -0.25790241538059144, -0.15760695499678454, 0.18497512007819578, -0.07100835828931026, 0.0006276449033369621, -0.002282050447926546, 0.04633212414392758, -0.06065507112673783, -0.28801278210067677, 0.32541937684817684, 0.029549786998402505, 0.2740756351267919, 0.12075933001636129, 0.07557133146162544, 0.029985749672743537, -0.0009149616373525489, 0.009174819740651617, -0.20836680969919794, 0.14204399603962278, 0.20273409999901473, 0.06711259167752273, 0.1976332014282456, -0.40923793476429726, -0.1482508604725202, 0.08644426821376242, 0.18642609034265792, 0.14931136159464672, -0.006395994225472566, -0.2245034653072556, 0.09967492658290125, -0.11079657561190072, -0.19147442180352905, -0.08234911369869397, -0.012139123495823393, -0.01927782949392817, -0.21596255797582367, 0.014529813868215396, 0.17119306547655946, 0.03566263031791009, -0.01887626411016321, -0.1072702111144151, 0.032990567441586224, 0.13399645175585256, 0.06625522839991997, 0.05486105396925095, 0.05507655608622978, -0.09868340342516257, -0.1223988878939833, 0.4112690606908429, -0.015701471067066968, -0.1961434759820501, 0.18212675607009304, -0.15080005419440567, -0.16989907782546998, 0.05150502894095899, 0.14309082597139336, 0.08016928218837295, -0.10698564184020229, 0.10675380621770662, -0.09822855783845409, 0.13558444359694563, 0.07611572468608972, 0.004439279527148409, 0.1818388919623214, 0.13454809792650244, 0.10726791561908267, 0.17799384337697466, -0.03758424002167192, -0.1289382697688693, -0.33521400783432737, -0.1595189057157508, -0.19565105741605207, 0.10021049241636536, -0.07103334887818034, -0.1802472218959814, 0.4092303745980774, 0.21545358771826223, 0.2200089639961897, 0.07275086680255342, 0.22300060277449943, 0.10095656188509781, 0.07511128332199794, 0.016966472867698895, 0.224045695351725, 0.12881750491214916, 0.0686921598708501, -0.1727251108247964, 0.0021105699069310156, 0.14673607468250252] |
708.3909 | No-Signalling Bound on Quantum State Discrimination | Quantum correlations do not allow signalling, and any operation which may be
performed on one system of an entangled pair cannot be detected by measurement
of the other system alone. This no-signalling condition limits allowed
operations and, in the context of quantum communication, may be used to put
bounds on quantum state discrimination. We find that the natural figure of
merit to consider is the confidence in identifying a state, which is optimised
by the maximum confidence strategy. We show that this strategy may be derived
from the no-signalling condition, and demonstrate the relationship between
maximum confidence measurements and entanglement concentration.
| quant-ph | quantum correlations do not allow signalling and any operation which may be performed on one system of an entangled pair cannot be detected by measurement of the other system alone this nosignalling condition limits allowed operations and in the context of quantum communication may be used to put bounds on quantum state discrimination we find that the natural figure of merit to consider is the confidence in identifying a state which is optimised by the maximum confidence strategy we show that this strategy may be derived from the nosignalling condition and demonstrate the relationship between maximum confidence measurements and entanglement concentration | [['quantum', 'correlations', 'do', 'not', 'allow', 'signalling', 'and', 'any', 'operation', 'which', 'may', 'be', 'performed', 'on', 'one', 'system', 'of', 'an', 'entangled', 'pair', 'can', 'not', 'be', 'detected', 'by', 'measurement', 'of', 'the', 'other', 'system', 'alone', 'this', 'nosignalling', 'condition', 'limits', 'allowed', 'operations', 'and', 'in', 'the', 'context', 'of', 'quantum', 'communication', 'may', 'be', 'used', 'to', 'put', 'bounds', 'on', 'quantum', 'state', 'discrimination', 'we', 'find', 'that', 'the', 'natural', 'figure', 'of', 'merit', 'to', 'consider', 'is', 'the', 'confidence', 'in', 'identifying', 'a', 'state', 'which', 'is', 'optimised', 'by', 'the', 'maximum', 'confidence', 'strategy', 'we', 'show', 'that', 'this', 'strategy', 'may', 'be', 'derived', 'from', 'the', 'nosignalling', 'condition', 'and', 'demonstrate', 'the', 'relationship', 'between', 'maximum', 'confidence', 'measurements', 'and', 'entanglement', 'concentration']] | [-0.13221736234959727, 0.14690390832202313, -0.12616786884381345, 0.0674318773215454, -0.04269993243346393, -0.213459435882339, 0.10492301294260531, 0.34131624250143183, -0.2607081791376878, -0.3407626506306377, 0.10623835605870494, -0.2306719953468179, -0.09102971994263284, 0.21006116387091905, -0.06768371283496712, 0.05835577703135855, 0.09124393797908709, 0.061059211022403165, -0.038378541946739834, -0.247694266932633, 0.27955005719445136, 0.07498528809382525, 0.2999528656969322, 0.0905333804331866, 0.06701567138125207, 0.005457966643221238, 0.023020593065987614, 0.029128750083128027, -0.1341079989884462, 0.10120913835571092, 0.26169171020863397, 0.2011657169855693, 0.2297566367733274, -0.4103894453568786, -0.20176804993374675, 0.15963285251214698, 0.1186334491027154, 0.11665442726100046, 0.0077569426069328306, -0.3064383282200616, 0.05343325406669036, -0.17102237213768212, -0.05192246913508165, -0.0757349821711507, -0.05618218638176354, -0.04580567531999858, -0.28243096643949256, 0.07889501317449864, 0.07565796787065326, 0.010567474818112804, -0.0040430491972787705, -0.05205538128183095, -0.021126672652933526, 0.12021760059995394, -0.05628125935760966, -0.023500745933429868, 0.1363371113753494, -0.11066476610836153, -0.15875246353429176, 0.3405949111991361, -0.058016646459388234, -0.23691936362279103, 0.16737343892957285, -0.1594365050504897, -0.1250980120955729, 0.054619346206606016, 0.15051238863345454, 0.09179857851681757, -0.18931039130570843, 0.02370129727219761, -0.00997337464279696, 0.22277916703994075, 0.054903915056082254, 0.08504340153041423, 0.2309638226733488, 0.07689799052005743, 0.11988576760175455, 0.12909144910529494, -0.10873672595320671, -0.08952221066654459, -0.3227709258230878, -0.17661836368999645, -0.2088517080901154, 0.061727523294964566, -0.06736024792303842, -0.06826420797961856, 0.35024210735790284, 0.17749169906578482, 0.17888402517921492, 0.02480114573001058, 0.23987917687661728, 0.16215104658005977, 0.06604411126360954, 0.05274387288783841, 0.31673323897663136, 0.08825852305117045, 0.005357433539614373, -0.2125156412389604, 0.1358046307338073, 0.013060386256113941] |
708.391 | Monitoring the rotary motors of single FoF1-ATP synthase by synchronized
multi channel TCSPC | Confocal time resolved single-molecule spectroscopy using pulsed laser
excitation and synchronized multi channel time correlated single photon
counting (TCSPC) provides detailed information about the conformational changes
of a biological motor in real time. We studied the formation of adenosine
triphosphate, ATP, from ADP and phosphate by FoF1-ATP synthase. The reaction is
performed by a stepwise internal rotation of subunits of the lipid
membrane-embedded enzyme. Using fluorescence resonance energy transfer, FRET,
we detected rotation of this biological motor by sequential changes of
intramolecular distances within a single FoF1-ATP synthase. Prolonged
observation times of single enzymes were achieved by functional immobilization
to the glass surface. The stepwise rotary subunit movements were identified by
Hidden Markov Models (HMM) which were trained with single-molecule FRET
trajectories. To improve the accuracy of the HMM analysis we included the
single-molecule fluorescence lifetime of the FRET donor and used alternating
laser excitation to co-localize the FRET acceptor independently within a photon
burst. The HMM analysis yielded the orientations and dwell times of rotary
subunits during stepwise rotation. In addition, the action mode of bactericidal
drugs, i.e. inhibitors of FoF1-ATP synthase like aurovertin, could be
investigated by the time resolved single-molecule FRET approach.
| physics.bio-ph | confocal time resolved singlemolecule spectroscopy using pulsed laser excitation and synchronized multi channel time correlated single photon counting tcspc provides detailed information about the conformational changes of a biological motor in real time we studied the formation of adenosine triphosphate atp from adp and phosphate by fof1atp synthase the reaction is performed by a stepwise internal rotation of subunits of the lipid membraneembedded enzyme using fluorescence resonance energy transfer fret we detected rotation of this biological motor by sequential changes of intramolecular distances within a single fof1atp synthase prolonged observation times of single enzymes were achieved by functional immobilization to the glass surface the stepwise rotary subunit movements were identified by hidden markov models hmm which were trained with singlemolecule fret trajectories to improve the accuracy of the hmm analysis we included the singlemolecule fluorescence lifetime of the fret donor and used alternating laser excitation to colocalize the fret acceptor independently within a photon burst the hmm analysis yielded the orientations and dwell times of rotary subunits during stepwise rotation in addition the action mode of bactericidal drugs ie inhibitors of fof1atp synthase like aurovertin could be investigated by the time resolved singlemolecule fret approach | [['confocal', 'time', 'resolved', 'singlemolecule', 'spectroscopy', 'using', 'pulsed', 'laser', 'excitation', 'and', 'synchronized', 'multi', 'channel', 'time', 'correlated', 'single', 'photon', 'counting', 'tcspc', 'provides', 'detailed', 'information', 'about', 'the', 'conformational', 'changes', 'of', 'a', 'biological', 'motor', 'in', 'real', 'time', 'we', 'studied', 'the', 'formation', 'of', 'adenosine', 'triphosphate', 'atp', 'from', 'adp', 'and', 'phosphate', 'by', 'fof1atp', 'synthase', 'the', 'reaction', 'is', 'performed', 'by', 'a', 'stepwise', 'internal', 'rotation', 'of', 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708.3911 | The jet of Markarian 501 from the sub-parsec to the kpc scale | We have observed the BL Lac object Markarian 501 at 1.4 GHz with the High
Sensitivity Array and at 86 GHz with the global VLBI mm array. Thanks to the
great resolution and sensitivity provided by these instruments, we probe
regions of the radio jets never accessed before. The new data at 1.4 GHz allow
us to map the one-sided jet at large distances from the core, and to constrain
jet properties thanks to the high jet to counter-jet brightness ratio. The 86
GHz data give us a high resolution image of the nuclear region. Putting
together these new results and available published data we discuss the
properties of this source from sub-parsec to kiloparsec scales.
| astro-ph | we have observed the bl lac object markarian 501 at 14 ghz with the high sensitivity array and at 86 ghz with the global vlbi mm array thanks to the great resolution and sensitivity provided by these instruments we probe regions of the radio jets never accessed before the new data at 14 ghz allow us to map the onesided jet at large distances from the core and to constrain jet properties thanks to the high jet to counterjet brightness ratio the 86 ghz data give us a high resolution image of the nuclear region putting together these new results and available published data we discuss the properties of this source from subparsec to kiloparsec scales | [['we', 'have', 'observed', 'the', 'bl', 'lac', 'object', 'markarian', '501', 'at', '14', 'ghz', 'with', 'the', 'high', 'sensitivity', 'array', 'and', 'at', '86', 'ghz', 'with', 'the', 'global', 'vlbi', 'mm', 'array', 'thanks', 'to', 'the', 'great', 'resolution', 'and', 'sensitivity', 'provided', 'by', 'these', 'instruments', 'we', 'probe', 'regions', 'of', 'the', 'radio', 'jets', 'never', 'accessed', 'before', 'the', 'new', 'data', 'at', '14', 'ghz', 'allow', 'us', 'to', 'map', 'the', 'onesided', 'jet', 'at', 'large', 'distances', 'from', 'the', 'core', 'and', 'to', 'constrain', 'jet', 'properties', 'thanks', 'to', 'the', 'high', 'jet', 'to', 'counterjet', 'brightness', 'ratio', 'the', '86', 'ghz', 'data', 'give', 'us', 'a', 'high', 'resolution', 'image', 'of', 'the', 'nuclear', 'region', 'putting', 'together', 'these', 'new', 'results', 'and', 'available', 'published', 'data', 'we', 'discuss', 'the', 'properties', 'of', 'this', 'source', 'from', 'subparsec', 'to', 'kiloparsec', 'scales']] | [-0.02542676293323266, 0.06283567941362231, -0.04443731704919503, 0.05548337173591978, -0.11730663076942337, -0.1237041896112777, 0.053632353833908665, 0.4448411375091508, -0.21174791357319417, -0.40549540657807015, 0.15446567573436087, -0.2475998574498527, 0.08196356042753905, 0.17959073538478496, 0.0013539461829952478, 0.026252497942989755, 0.0803607007496637, -0.11717901256633922, -0.03383259804405529, -0.1639302154071629, 0.2420853985441399, 0.20330622344245686, 0.2624559916138392, 0.06052403584732834, 0.16189511686539407, -0.10589955840661222, -0.10415207276999919, -0.02422309787301668, -0.1207803487215705, 0.08912207793990343, 0.2706867380645768, 0.11578604245181034, 0.17750381753448263, -0.37427087091230626, -0.1518770589067697, 0.0426799184803305, 0.09627983353807237, 0.040514167446386196, 0.04535581145620231, -0.33751913083010704, 0.10696884701384737, -0.18895277114392356, -0.17698291636569874, 0.017115559155956424, 0.03231017122141503, 0.017510152939739156, -0.18956698572006206, 0.08808627899671936, -0.0486313563386171, 0.08238138980031463, -0.0792475809776706, -0.09106585781234477, -0.007091452271260065, 0.12135632274118413, 0.012833583252986187, 0.10650016283536137, 0.1370257226356851, -0.138924467307114, -0.11092272242691753, 0.3248293132055551, -0.03548954015071825, -0.04684366078260515, 0.2799941519484052, -0.29725345859007013, -0.23815029404318794, 0.19058061468993023, 0.19167890573915994, 0.06306537924784011, -0.0977666179051398, -0.008523170380644372, -0.01334653685174497, 0.2305185447109799, 0.08534965554958787, 0.12203448335238701, 0.2753319018359842, 0.13332186973300472, 0.05556699930457398, 0.1618802319300875, -0.31969456304043353, 0.04412172864801411, -0.279787583208386, -0.04141508105435762, -0.14888298275362669, 0.08459673394400884, -0.13760274139600243, -0.009434695217100069, 0.42025716310559674, 0.1154118610971511, 0.23318487895524193, 0.036758552058519606, 0.27186317579290864, 0.008272630138451168, 0.1348620389010115, 0.13197712324045854, 0.35451694141174184, 0.14697408072794949, 0.1883057162270014, -0.16638637346151317, -0.017380539930008095, -0.039434515027096495] |
708.3912 | On the Hochschild (co)homology of quantum exterior algebras | We compute the Hochschild cohomology and homology of a class of quantum
exterior algebras, with coefficients in twisted bimodules. As a result we
obtain several interesting examples of the homological behavior of these
algebras.
| math.KT math.RT | we compute the hochschild cohomology and homology of a class of quantum exterior algebras with coefficients in twisted bimodules as a result we obtain several interesting examples of the homological behavior of these algebras | [['we', 'compute', 'the', 'hochschild', 'cohomology', 'and', 'homology', 'of', 'a', 'class', 'of', 'quantum', 'exterior', 'algebras', 'with', 'coefficients', 'in', 'twisted', 'bimodules', 'as', 'a', 'result', 'we', 'obtain', 'several', 'interesting', 'examples', 'of', 'the', 'homological', 'behavior', 'of', 'these', 'algebras']] | [-0.23102676676695838, 0.017618830754038167, -0.10845524634179823, 0.10510368431534838, -0.09896450308973298, -0.14460474055479555, -0.0862703533802072, 0.33339173138579903, -0.41172899963224635, -0.22458891904748537, 0.15672386533868335, -0.20164439520415137, -0.23786404531668215, 0.19739002537201433, -0.19526455455514438, -0.007871175897033775, 0.06665722490288317, 0.12756375395966804, -0.14815349512569168, -0.26727375651107116, 0.46083322567317414, -0.03835898156017613, 0.132329080336015, 0.08410543558078215, 0.080112710923833, -0.0434331331292496, -0.02070223129190066, -0.032696712652550024, -0.22542676061172695, 0.17498685479821527, 0.37806921485154066, -0.059893437058610076, 0.14317346880595913, -0.35854249151752277, -0.04877706044627463, 0.13562646085012922, 0.12879060263581135, 0.0631337427698514, -0.05716121487100335, -0.2780585242983173, 0.08659920559319503, -0.30683964337496195, -0.14588640087886767, -0.12717643640387585, 0.03906282004626358, 0.02898201345712604, -0.23264848638106794, 0.00531720370054245, 0.07538375559755985, 0.18190055110437028, -0.14401043987120776, -0.06517324474749758, -0.07077496817938107, 0.14320230127914862, -0.025526809081544772, -0.08701362973079085, 0.15746625000610948, -0.1411549898193163, -0.2455926463007927, 0.33978363252518806, -0.02238550886292668, -0.20804910713751965, 0.11945993069778471, -0.2054247679462766, -0.24586326286525412, 0.07580217801253586, 0.005428047741160673, 0.2150940890697872, 0.05086923519368557, 0.1769499772156397, -0.1300553109989885, -0.020066287122009432, 0.10893080482149825, 0.08369539448005311, 0.14241911728373347, 0.03321325551608906, 0.03056630538776517, 0.23551174910629497, 0.028888064450310433, -0.08632324912640102, -0.35355666060658064, -0.27967009441379237, -0.07019311433438868, 0.20718405473812976, -0.1680952669801841, -0.22788124430157683, 0.4707581512629986, 0.13399820980232427, 0.2110707542639883, 0.16674815964720704, 0.20623493391801329, 0.031457127315019644, 0.12184795496218345, -0.02328822805601008, 0.09352736292845186, 0.34080008307800574, 0.04159303780590348, -0.10065848251585574, -0.09667061975992777, 0.3101768732235274] |
708.3913 | New Origin of a Bilinear Mass Matrix Form | The charged lepton mass formula can be explained when the masses are
propotinal to the squared vacuum expectation values (VEVs) of scalar fields. We
introduce U(3) flavor symmetry and its nonet scalar field $\Phi$, whose VEV
structure plays an essential role for generating the fermion mass spectrum. We
can naturally obtain bilinear form of the Yukawa coupling
$Y_{ij} \propto \sum_k <\Phi_{ik}> <\Phi_{kj}>$ without the
non-renormalizable interactions, when the flavor symmetry is broken only
through the Yukawa coupling and tadpole terms. We also speculate the possible
VEV structure of $<\Phi>$.
| hep-ph | the charged lepton mass formula can be explained when the masses are propotinal to the squared vacuum expectation values vevs of scalar fields we introduce u3 flavor symmetry and its nonet scalar field phi whose vev structure plays an essential role for generating the fermion mass spectrum we can naturally obtain bilinear form of the yukawa coupling y_ij propto sum_k phi_ik phi_kj without the nonrenormalizable interactions when the flavor symmetry is broken only through the yukawa coupling and tadpole terms we also speculate the possible vev structure of phi | [['the', 'charged', 'lepton', 'mass', 'formula', 'can', 'be', 'explained', 'when', 'the', 'masses', 'are', 'propotinal', 'to', 'the', 'squared', 'vacuum', 'expectation', 'values', 'vevs', 'of', 'scalar', 'fields', 'we', 'introduce', 'u3', 'flavor', 'symmetry', 'and', 'its', 'nonet', 'scalar', 'field', 'phi', 'whose', 'vev', 'structure', 'plays', 'an', 'essential', 'role', 'for', 'generating', 'the', 'fermion', 'mass', 'spectrum', 'we', 'can', 'naturally', 'obtain', 'bilinear', 'form', 'of', 'the', 'yukawa', 'coupling', 'y_ij', 'propto', 'sum_k', 'phi_ik', 'phi_kj', 'without', 'the', 'nonrenormalizable', 'interactions', 'when', 'the', 'flavor', 'symmetry', 'is', 'broken', 'only', 'through', 'the', 'yukawa', 'coupling', 'and', 'tadpole', 'terms', 'we', 'also', 'speculate', 'the', 'possible', 'vev', 'structure', 'of', 'phi']] | [-0.212450732202215, 0.306498379399357, -0.001314886767812463, 0.16195663314469722, -0.13127971525022455, -0.15713206427388413, -0.02716745940161609, 0.3300381532334181, -0.20358034706441686, -0.2987880889369651, -0.003371519025761721, -0.22830364104836834, -0.10131564012966877, 0.03518146687988625, 0.05868102744394957, -0.012459191121939342, -0.034171790090324575, 0.07776131472099562, -0.09167743857671116, -0.21627414620719676, 0.3553813751380847, -0.006907246573719867, 0.19987354590286782, 0.13654674932923774, 0.06510201089901763, -0.03788563691426155, 0.06997121648516419, -0.10465550956554538, -0.07230912194706413, 0.03430370038895066, 0.10460824224296524, 0.03373562620931067, 0.11360372036024062, -0.35829017179216754, -0.08970852810375089, 0.22077627221209017, 0.19801190483037295, 0.0680109633398134, -0.0826739412624129, -0.3196816813460616, 0.05778340200980216, -0.18787856718395338, -0.17774220631013862, -0.14822322867139306, -0.05265466572559807, -0.15065813128468256, -0.42522099688459664, 0.14907350753627577, -0.04584233380913691, -0.000867542824274752, -0.023631776310774216, -0.18763133329555912, -0.12889945450737034, 0.05339425166075248, 0.23220084793594947, 0.03796251536669144, 0.17400210542160324, -0.23249178875757512, -0.04765282411583115, 0.43030775745594224, -0.10867050741690883, -0.2181915359701528, 0.018512138620365496, -0.14458867960181737, -0.13216862794509981, 0.07930056227717636, 0.14119706404947696, 0.08420226791180498, -0.16076717071734684, 0.2682921198984543, -0.07235930874120704, 0.1399012562726776, 0.07643643362166057, 0.07076116432544104, 0.28084371304058275, 0.059087146988658364, 0.017929898625033972, 0.055100256394389154, 0.008645311520478233, -0.10678180674331934, -0.4199543345589624, -0.12928123577216336, -0.12312796025342027, 0.1240337657861325, -0.17743584096701112, -0.12714609375959912, 0.4348285037802186, 0.08354408310206476, 0.22211613439072228, 0.0467850009607541, 0.2388385182360274, 0.16083953813324833, 0.16513816391247824, 0.04631805659250118, 0.2802317341421406, 0.17587613300988883, 0.08788109613517515, -0.29995658165818556, -0.06281722885513202, 0.14917849978367084] |
708.3914 | On support varieties for modules over complete intersections | We show that, over a local complete intersection, every possible variety is
realized as the cohomological support variety of some module. Moreover, we show
that the projective variety of a complete indecomposable maximal Cohen-Macaulay
module is connected.
| math.AC | we show that over a local complete intersection every possible variety is realized as the cohomological support variety of some module moreover we show that the projective variety of a complete indecomposable maximal cohenmacaulay module is connected | [['we', 'show', 'that', 'over', 'a', 'local', 'complete', 'intersection', 'every', 'possible', 'variety', 'is', 'realized', 'as', 'the', 'cohomological', 'support', 'variety', 'of', 'some', 'module', 'moreover', 'we', 'show', 'that', 'the', 'projective', 'variety', 'of', 'a', 'complete', 'indecomposable', 'maximal', 'cohenmacaulay', 'module', 'is', 'connected']] | [-0.22721106596794483, 0.0021855449052275836, -0.06994587575664392, 0.022629836756685697, -0.1175737428806118, -0.1380585948810787, -0.06975379731581621, 0.400775071434878, -0.3729076862737939, -0.11794279968819103, 0.13408579634552872, -0.15842547078893796, -0.19763620136890914, 0.2753193694594744, -0.15128556070094173, -0.04008548923239515, 0.11787480638815544, 0.14196278086888628, -0.053801373592766655, -0.362866008603895, 0.438618755421123, -0.10438297427183874, 0.28469808309062106, 0.12634729604060585, 0.21142172614565571, 0.04535325578841809, 0.009766892882416377, 0.1182473544786508, -0.12055220889325594, 0.08170414670697741, 0.3557436159635718, 0.18791658602453568, 0.1776077155325864, -0.347760909673525, -0.15603853535611886, 0.28956685819335887, 0.11830370581230602, 0.03875291458255536, -0.020050128097520083, -0.18576076898623156, 0.2011964764647387, -0.27961662210322713, -0.15781355493173405, -0.14832032361143344, 0.06573908977411888, -0.0033140105975640786, -0.2484800070020798, -0.11931111210504093, 0.0863052650883391, 0.17820683222364736, -0.046126515680068245, -0.02426888866702447, -0.12124666309839971, 0.0627069979075443, -0.16914615877023018, 0.038283466613171876, 0.10963256708566553, -0.10325768313093765, -0.16658638025055061, 0.33248894987627864, -0.05491010441973403, -0.16875997035311083, 0.21208818903746637, -0.17247370902348208, -0.11250970484940587, 0.15712997056795536, 0.03344696825621901, 0.14473596144769643, 0.019610622822231537, 0.1453555526362883, -0.24497896300729466, 0.0545573344303144, 0.03868834810281122, 0.038418909509641094, 0.15646771744296356, 0.18816131675565564, 0.12896010820829384, 0.11489349676648507, 0.01157712407812879, 0.04217685952725996, -0.4222681860666017, -0.2541597281658166, -0.1510010497594202, 0.1687736911762103, -0.1198767852038145, -0.14837222828252897, 0.45052775076112234, 0.09477132256772067, 0.23280290806212942, 0.10132122205922732, 0.2387079366709332, -0.03555390070431639, 0.06458919288942942, 0.06599188523014655, 0.11252179202337347, 0.17568534245160786, -0.09103529841475491, -0.09732374103387466, 0.005009372919999264, 0.11515014499073496] |
708.3915 | How Compact are the Cores of AGN? Sub-Parsec Scale Imaging with VLBI at
Millimeter Wavelengths | We study the most central regions of AGN jets with an angular resolution of
tens of micro-arcseconds using VLBI at millimeter wavelengths (mm-VLBI). We
present and discuss a new 86 GHz VLBI survey of compact radio sources. We show
new high dynamic range images of two nearby radio galaxies (3C 120 and M87). In
M87 the size of the compact VLBI core (the jet base) is < 15 Schwarzschild
radii. Future mm-VLBI observations at 1 mm and shorter wavelengths should lead
to images of galactic and extragalactic radio sources with a spatial resolution
down to a few Schwarzschild radii of the central super massive black holes. To
achieve this, the participation of large and sensitive millimeter and
sub-millimeter telescopes in VLBI is essential. Owing to their high sensitivity
existing and planned phased interferometers like the IRAM Plateau de Bure
interferometer, CARMA, the SMA and ALMA could play an important role.
| astro-ph | we study the most central regions of agn jets with an angular resolution of tens of microarcseconds using vlbi at millimeter wavelengths mmvlbi we present and discuss a new 86 ghz vlbi survey of compact radio sources we show new high dynamic range images of two nearby radio galaxies 3c 120 and m87 in m87 the size of the compact vlbi core the jet base is 15 schwarzschild radii future mmvlbi observations at 1 mm and shorter wavelengths should lead to images of galactic and extragalactic radio sources with a spatial resolution down to a few schwarzschild radii of the central super massive black holes to achieve this the participation of large and sensitive millimeter and submillimeter telescopes in vlbi is essential owing to their high sensitivity existing and planned phased interferometers like the iram plateau de bure interferometer carma the sma and alma could play an important role | [['we', 'study', 'the', 'most', 'central', 'regions', 'of', 'agn', 'jets', 'with', 'an', 'angular', 'resolution', 'of', 'tens', 'of', 'microarcseconds', 'using', 'vlbi', 'at', 'millimeter', 'wavelengths', 'mmvlbi', 'we', 'present', 'and', 'discuss', 'a', 'new', '86', 'ghz', 'vlbi', 'survey', 'of', 'compact', 'radio', 'sources', 'we', 'show', 'new', 'high', 'dynamic', 'range', 'images', 'of', 'two', 'nearby', 'radio', 'galaxies', '3c', '120', 'and', 'm87', 'in', 'm87', 'the', 'size', 'of', 'the', 'compact', 'vlbi', 'core', 'the', 'jet', 'base', 'is', '15', 'schwarzschild', 'radii', 'future', 'mmvlbi', 'observations', 'at', '1', 'mm', 'and', 'shorter', 'wavelengths', 'should', 'lead', 'to', 'images', 'of', 'galactic', 'and', 'extragalactic', 'radio', 'sources', 'with', 'a', 'spatial', 'resolution', 'down', 'to', 'a', 'few', 'schwarzschild', 'radii', 'of', 'the', 'central', 'super', 'massive', 'black', 'holes', 'to', 'achieve', 'this', 'the', 'participation', 'of', 'large', 'and', 'sensitive', 'millimeter', 'and', 'submillimeter', 'telescopes', 'in', 'vlbi', 'is', 'essential', 'owing', 'to', 'their', 'high', 'sensitivity', 'existing', 'and', 'planned', 'phased', 'interferometers', 'like', 'the', 'iram', 'plateau', 'de', 'bure', 'interferometer', 'carma', 'the', 'sma', 'and', 'alma', 'could', 'play', 'an', 'important', 'role']] | [-0.11648528834479867, 0.09201874576087872, -0.017074858019715988, 0.07819561367454445, -0.13746117659213158, -0.09351916286481807, -0.025140602485395517, 0.4629848124521891, -0.10593942926662206, -0.3418381096038892, 0.13535100117719565, -0.26659858312876583, 0.010288324999316726, 0.19178333222216007, 0.0008344014844038342, -0.022200530965659368, 0.07934199924340109, -0.19132939578915303, -0.04181351454540987, -0.14044767730375565, 0.2484449318550752, 0.24170719422149978, 0.20818070071943154, -0.007206664583176974, 0.12550895219674996, -0.13189276744730322, -0.11687781098580001, -0.003551891398609885, -0.07745193752859432, 0.07569509333987164, 0.3467041036698517, 0.14126496765396915, 0.22414162268128868, -0.40187576900692595, -0.18123131335459824, 0.043634872277261025, 0.1564300244349061, 0.04108489257902307, 0.03318434065182837, -0.3249897216806101, 0.10712655095638232, -0.20160809024268347, -0.23348377906286077, 0.10124853688398464, 0.050858266434425974, 0.04337305416534311, -0.15601818359163183, 0.07716489676698643, -0.06741247756169147, 0.08282623949808174, -0.11203189948558083, -0.11878861043127191, 0.0231402487347165, 0.11354287279747902, -0.04035646223694386, 0.1306391934904851, 0.14474687672488942, -0.12970504795526147, -0.11511505270789334, 0.35158661425569965, -0.031544486413891085, 0.018329747765006236, 0.2432984235702745, -0.30059819292642753, -0.24101526437689794, 0.15009351961092787, 0.20119411326419787, 0.1605993366781497, -0.08254504304272967, -0.03092572527731325, 0.00019747863879939853, 0.27682628192870107, 0.13947628728495348, 0.1818805296136529, 0.3987597665005682, 0.1815362778248503, 0.1018676559984584, 0.1441162419036631, -0.3685918882232934, 0.007687854024287838, -0.25121364082153513, -0.08043678531473215, -0.140598763718001, 0.15032883402879738, -0.20602800387611, -0.026456165204805964, 0.33580226558666904, 0.08957193230885087, 0.17483185186291475, 0.05763549953949131, 0.3306315653101549, -0.036574676695386034, 0.1327150146767572, 0.10674874283273349, 0.35641430575875627, 0.1352401879747342, 0.19235563952938323, -0.1818747914414978, -0.07699136159401512, -0.046047993273092995] |
708.3916 | Pattern collapse as a mechanism for the formation of solitary structures | We report a new mechanism for the formation of localized states, which takes
place without front propagation. Correspondingly, localized structures appear
as solitary states, displaying a behavior of single independent cells. The
phenomenon is observed in the liquid crystal light-valve experiment and is
described by a one-dimensional normal form model. We show that such solitary
structures exist when a pattern solution collapses and its ghost remains to
influence the phase portrait.
| nlin.PS nlin.AO | we report a new mechanism for the formation of localized states which takes place without front propagation correspondingly localized structures appear as solitary states displaying a behavior of single independent cells the phenomenon is observed in the liquid crystal lightvalve experiment and is described by a onedimensional normal form model we show that such solitary structures exist when a pattern solution collapses and its ghost remains to influence the phase portrait | [['we', 'report', 'a', 'new', 'mechanism', 'for', 'the', 'formation', 'of', 'localized', 'states', 'which', 'takes', 'place', 'without', 'front', 'propagation', 'correspondingly', 'localized', 'structures', 'appear', 'as', 'solitary', 'states', 'displaying', 'a', 'behavior', 'of', 'single', 'independent', 'cells', 'the', 'phenomenon', 'is', 'observed', 'in', 'the', 'liquid', 'crystal', 'lightvalve', 'experiment', 'and', 'is', 'described', 'by', 'a', 'onedimensional', 'normal', 'form', 'model', 'we', 'show', 'that', 'such', 'solitary', 'structures', 'exist', 'when', 'a', 'pattern', 'solution', 'collapses', 'and', 'its', 'ghost', 'remains', 'to', 'influence', 'the', 'phase', 'portrait']] | [-0.19173935875296594, 0.21282358004578522, -0.11993179037900907, 0.07276167517328369, -0.05809086169382291, -0.13049499676562845, 0.058859159996999165, 0.3524319761033569, -0.26943620980850286, -0.24467062932173056, 0.0754437658054355, -0.2563355505333415, -0.21662350430020264, 0.12810699242233697, 0.043335139066247, -0.008054142978341719, 0.05098656651763511, 0.03657018852287105, -0.029047645551950805, -0.14867435858385372, 0.3002543970942497, -0.02015542761281332, 0.32706813505252025, 0.020642567386052437, 0.10702160208352975, -0.03774138377048075, 0.0899050811239119, 0.025635180130068744, -0.10413760710892217, 0.005028399296237954, 0.19222599595252957, 0.08038960535351569, 0.2269995188606637, -0.47369378948850294, -0.26606351315443005, 0.05309500704918589, 0.17920554506459407, 0.17276922943835546, -0.11777052873346422, -0.29680207619177446, 0.05314046425212707, -0.1202044109747346, -0.21191694525602672, -0.035078462908443596, 0.01676952702525471, 0.0031615876156138255, -0.22183306911694153, 0.12553374076794302, 0.09102704684649195, -0.011756022327712603, -0.09066866701635133, -0.029314142409046846, -0.04515794473034995, 0.0944218715041643, -0.0045492734044923315, 0.007435325746025358, 0.10838435864466842, -0.16909254911754812, -0.09716127118278695, 0.40101037940808704, -0.05317192361690104, -0.16889196289765615, 0.19480871932048882, -0.17001803180527142, -0.056937701986836536, 0.1868177090372358, 0.1491436734720732, 0.106778713921085, -0.06962010002566135, 0.027497461928890386, -0.06126026158287589, 0.1891762089212924, 0.10103087358708893, 0.05691351848654449, 0.2547598752592291, 0.23044052665188378, 0.02482577252334782, 0.17011847043676034, -0.09976783281724368, -0.1181702144710081, -0.2720966338845236, -0.1477724755482216, -0.13489804875903896, 0.016453891639996852, -0.006069930226658471, -0.24562572089156934, 0.4264323001162016, 0.041543932764657905, 0.22701760244422725, -0.03352184847961845, 0.20275184955181821, 0.11215274943138606, 0.04087393269874155, 0.04968070470328842, 0.23990516429767011, 0.08612780012190342, 0.09597350449766964, -0.21268162149852807, 0.09285649466910399, 0.04243879447957235] |
708.3917 | Twisted support varieties | We define and study twisted support varieties for modules over an Artin
algebra, where the twist is induced by an automorphism of the algebra. Under a
certain finite generation hypothesis, we show that the twisted variety of a
module satisfies Dade's Lemma and is one dimensional precisely when the module
is periodic with respect to the twisting automorphism. As a special case we
obtain results on DTr-periodic modules over Frobenius algebras.
| math.RA | we define and study twisted support varieties for modules over an artin algebra where the twist is induced by an automorphism of the algebra under a certain finite generation hypothesis we show that the twisted variety of a module satisfies dades lemma and is one dimensional precisely when the module is periodic with respect to the twisting automorphism as a special case we obtain results on dtrperiodic modules over frobenius algebras | [['we', 'define', 'and', 'study', 'twisted', 'support', 'varieties', 'for', 'modules', 'over', 'an', 'artin', 'algebra', 'where', 'the', 'twist', 'is', 'induced', 'by', 'an', 'automorphism', 'of', 'the', 'algebra', 'under', 'a', 'certain', 'finite', 'generation', 'hypothesis', 'we', 'show', 'that', 'the', 'twisted', 'variety', 'of', 'a', 'module', 'satisfies', 'dades', 'lemma', 'and', 'is', 'one', 'dimensional', 'precisely', 'when', 'the', 'module', 'is', 'periodic', 'with', 'respect', 'to', 'the', 'twisting', 'automorphism', 'as', 'a', 'special', 'case', 'we', 'obtain', 'results', 'on', 'dtrperiodic', 'modules', 'over', 'frobenius', 'algebras']] | [-0.19348539054127675, 0.07137486686905115, -0.06587434698428427, 0.04296579044145931, -0.09348121659963259, -0.1281249022443912, -0.07813291083688714, 0.3767105247925169, -0.38846059755555223, -0.16646071496569284, 0.15890812282117883, -0.19443823717800635, -0.16194431596169515, 0.2555435592042548, -0.17154207281730902, -0.0641543217868145, 0.10454639056697487, 0.14767649431845972, -0.11029661646046277, -0.27965827431928897, 0.47795480409903185, 0.020526702645500855, 0.2574868872495634, 0.046079624832574544, 0.1341747190969597, 0.07027283131943217, 0.03307048792817763, -0.024389655866460608, -0.152446016579987, 0.08115208001275148, 0.2562420974086438, 0.012895858992955514, 0.19966014745379132, -0.35671552789530586, -0.09250994510283428, 0.16268033470426288, 0.09576303840481809, 0.02145387763490102, -0.028210019182214247, -0.23453513069543988, 0.17039456368823136, -0.2654144814104906, -0.14329673502195095, -0.06782994827122561, 0.03792531145736575, -0.012452639004082552, -0.3154974079058905, -0.049991683794983796, 0.08659239911607333, 0.1852910046465695, -0.11266121852012086, -0.031339930283970065, -0.07033858907275967, 0.06897139297673545, -0.04191245285328478, 0.03078907972002136, 0.11713792601117998, -0.11506347420893559, -0.15680655783840589, 0.34493629059621267, -0.051888133698542206, -0.24971622546602573, 0.11921728707716933, -0.16768971183337272, -0.1707230589086456, 0.08119348527896883, 0.04905847581103444, 0.11978108982023383, 0.016658970063976344, 0.16951895439831008, -0.19159941096524044, 0.06397808462913547, 0.09769141982708658, -0.03531076763756573, 0.122048947427954, 0.12008419604639389, 0.11444161336070725, 0.20767167657281138, 0.015925191379418332, -0.0028387564833142927, -0.3611833035945892, -0.2314385175438864, -0.0504581729216235, 0.1425961940549314, -0.09134228730399627, -0.18122088853269816, 0.4536795218608209, 0.0948101311148743, 0.16147212660871446, 0.11928039346156376, 0.20892293919875685, 0.0938416360195593, 0.15301523565181663, 0.040039561575810824, 0.0916585617000237, 0.27827624242220605, -0.07892284266584154, -0.10524703193722026, -0.03122487153325762, 0.20592083082135235] |
708.3918 | Circular dielectric cavity and its deformations | The construction of perturbation series for slightly deformed dielectric
circular cavity is discussed in details. The obtained formulae are checked on
the example of cut disks. A good agreement is found with direct numerical
simulations and far-field experiments.
| nlin.CD physics.optics | the construction of perturbation series for slightly deformed dielectric circular cavity is discussed in details the obtained formulae are checked on the example of cut disks a good agreement is found with direct numerical simulations and farfield experiments | [['the', 'construction', 'of', 'perturbation', 'series', 'for', 'slightly', 'deformed', 'dielectric', 'circular', 'cavity', 'is', 'discussed', 'in', 'details', 'the', 'obtained', 'formulae', 'are', 'checked', 'on', 'the', 'example', 'of', 'cut', 'disks', 'a', 'good', 'agreement', 'is', 'found', 'with', 'direct', 'numerical', 'simulations', 'and', 'farfield', 'experiments']] | [-0.1454901998911641, 0.04462199461264199, -0.06595540664305813, 0.0684159454264629, -0.03321022961876894, -0.11707387741281357, -0.026212312253559696, 0.43647423989482614, -0.15877564775904543, -0.26711379040008115, 0.10204328935728163, -0.29175504005367037, -0.11105246064988405, 0.29896541459387854, 0.017996957280526037, 0.10873421603862785, 0.13833712168822163, -0.006765446772700862, -0.10285883418921578, -0.1854627299563665, 0.2484920373872707, 0.12018458469231662, 0.2434550608067136, 0.04226927231311014, 0.015019322524925596, -0.02026694616008746, -0.09386183551855777, 0.08578547009413964, -0.2050334835474036, 0.07753346638606959, 0.23191999859715762, -0.017640035366639495, 0.14906686166987607, -0.4627392207713504, -0.1585070260633457, -0.04007189355692581, 0.15641239637165869, 0.12197453759022449, -0.1283702274300403, -0.25855306967308644, 0.060067136992553345, -0.12863169012493209, -0.2061058799491117, -0.12276823201069706, -0.005786531457775517, 0.00822370798900202, -0.28440057731380586, 0.06575203801529776, 0.011958443645485923, 0.0686994074647756, -0.048578571687501515, -0.13405217514618448, -0.025495335851844988, 0.04742066798989024, 0.03799631112059088, -0.018013448981372148, 0.15906672199305735, -0.08991858336192213, -0.07301845808366411, 0.39811370046319144, -0.05836501936918419, -0.18389561162085125, 0.156906899401771, -0.20010719713019698, -0.052283686426419174, 0.14242452439410905, 0.05181790505977053, 0.1358880489868553, -0.08656828997558669, 0.07066984885022976, -0.10523902245882996, 0.18732122260783063, 0.15757037415536806, -0.05293692182921835, 0.2214274859181483, 0.15478157816381244, -0.06034022347548192, 0.183052420420082, -0.023781670373864472, -0.1269517165400382, -0.3488153741744004, -0.06522503803487205, -0.20535093092506654, -0.041673516646321664, -0.13993068802435454, -0.14569034279281223, 0.33189975458050247, 0.033951305392149245, 0.16686924743637638, 0.07744630700663517, 0.30687348880363924, 0.14154546867173753, 0.027513356634268637, 0.007550671139094783, 0.34204017721410646, 0.18116271574246257, 0.07036874419205369, -0.24419466805595316, 0.0032233930143870807, 0.044981024221909284] |
708.3919 | The 1:+2 / 1:-2 resonance | On the linear level elliptic equilibria of Hamiltonian systems are mere
superpositions of harmonic oscillators. Non-linear terms can produce
instability, if the ratio of frequencies is rational and the Hamiltonian is
indefinite. In this paper we study the frequency ratio 1/2 and its unfolding.
In particular we show that for the indefinite case (1:-2) the frequency ratio
map in a neighbourhood of the origin has a critical point, i.e. the twist
condition is violated for one torus on every energy surface near the energy of
the equilibrium. In contrast, we show that the frequency map itself is
non-degenerate (i.e. the Kolmogorov non-degeneracy condition holds) for every
torus in a neighbourhood of the equilibrium point. As a byproduct we are able
to obtain another proof of fractional monodromy in the 1:-2 resonance.
| nlin.SI | on the linear level elliptic equilibria of hamiltonian systems are mere superpositions of harmonic oscillators nonlinear terms can produce instability if the ratio of frequencies is rational and the hamiltonian is indefinite in this paper we study the frequency ratio 12 and its unfolding in particular we show that for the indefinite case 12 the frequency ratio map in a neighbourhood of the origin has a critical point ie the twist condition is violated for one torus on every energy surface near the energy of the equilibrium in contrast we show that the frequency map itself is nondegenerate ie the kolmogorov nondegeneracy condition holds for every torus in a neighbourhood of the equilibrium point as a byproduct we are able to obtain another proof of fractional monodromy in the 12 resonance | [['on', 'the', 'linear', 'level', 'elliptic', 'equilibria', 'of', 'hamiltonian', 'systems', 'are', 'mere', 'superpositions', 'of', 'harmonic', 'oscillators', 'nonlinear', 'terms', 'can', 'produce', 'instability', 'if', 'the', 'ratio', 'of', 'frequencies', 'is', 'rational', 'and', 'the', 'hamiltonian', 'is', 'indefinite', 'in', 'this', 'paper', 'we', 'study', 'the', 'frequency', 'ratio', '12', 'and', 'its', 'unfolding', 'in', 'particular', 'we', 'show', 'that', 'for', 'the', 'indefinite', 'case', '12', 'the', 'frequency', 'ratio', 'map', 'in', 'a', 'neighbourhood', 'of', 'the', 'origin', 'has', 'a', 'critical', 'point', 'ie', 'the', 'twist', 'condition', 'is', 'violated', 'for', 'one', 'torus', 'on', 'every', 'energy', 'surface', 'near', 'the', 'energy', 'of', 'the', 'equilibrium', 'in', 'contrast', 'we', 'show', 'that', 'the', 'frequency', 'map', 'itself', 'is', 'nondegenerate', 'ie', 'the', 'kolmogorov', 'nondegeneracy', 'condition', 'holds', 'for', 'every', 'torus', 'in', 'a', 'neighbourhood', 'of', 'the', 'equilibrium', 'point', 'as', 'a', 'byproduct', 'we', 'are', 'able', 'to', 'obtain', 'another', 'proof', 'of', 'fractional', 'monodromy', 'in', 'the', '12', 'resonance']] | [-0.21130624269881776, 0.10938791504115548, -0.08554692990821965, 0.061192679930769815, -0.02876680505725036, -0.1068235109951205, 0.038001900767189456, 0.3192773630259601, -0.27059360430753643, -0.22695509588900414, 0.11048263553814351, -0.27090718405932646, -0.1570110312264896, 0.1918756916820434, -0.05784539957226428, 0.02547143925761605, 0.06424948357966309, 0.09720300100317211, -0.06479112463932171, -0.17160703039920058, 0.3747910349309899, 0.01945879787405711, 0.2175579032245739, 0.049108063418219106, 0.10185520907238353, -0.018813310059512617, 0.06721467983674344, -0.014592738335113261, -0.13186717952500748, 0.06378183482820879, 0.2223152118621266, 0.05379935285033843, 0.2542054992282891, -0.35209948009809566, -0.17161040197354066, 0.15883243815504186, 0.12537260939551959, 0.08048138466045146, 0.002517830429399628, -0.19132956692714329, 0.09005932926328299, -0.10312976038353588, -0.2056315574823445, -0.047371172650098686, 0.02683464110693859, 0.03442818026470717, -0.2771017723041409, 0.09317898677789983, 0.1269558002845249, 0.07158604096479089, -0.08883361015842076, -0.07714431877212442, -0.06671228811486077, 0.09521609220568461, 0.000562482445948679, 0.03311690355705289, 0.10961821975136701, -0.1004452740556724, -0.08539398700596039, 0.3844897247680271, -0.08925817412757919, -0.22989538565050555, 0.15685044918635874, -0.1832023821344585, -0.1353546074815521, 0.12372042439906424, 0.12481711402478564, 0.11482846284398937, -0.08449828685243536, 0.13820329302733494, -0.067276552465268, 0.17467663842582193, 0.11794920178407534, 0.004624248329436279, 0.18640912705250368, 0.11478722799135699, 0.14589258474262276, 0.15443218382118085, -0.08870684007850994, -0.09751913803167471, -0.32758276168797307, -0.16760483377556254, -0.18223646045075942, 0.109373769019055, -0.08524384987847133, -0.17188813612718162, 0.4075000077372289, 0.10523491146270442, 0.20424912703571885, 0.05460307921437575, 0.24568979096606033, 0.21449788924189328, 0.008085065492862508, 0.07958091808596754, 0.2724004527660556, 0.12236645260384975, 0.0703644012278728, -0.20628207631565573, 0.0028301184776573234, 0.10411612780494545] |
708.392 | Kinematic analysis of the 3-RPR parallel manipulator | The aim of this paper is the kinematic study of a 3-RPR planar parallel
manipulator where the three fixed revolute joints are actuated. The direct and
inverse kinematic problem as well as the singular configuration is
characterized. On parallel singular configurations, the motion produce by the
mobile platform can be compared to the Reuleaux straight-line mechanism.
| cs.RO | the aim of this paper is the kinematic study of a 3rpr planar parallel manipulator where the three fixed revolute joints are actuated the direct and inverse kinematic problem as well as the singular configuration is characterized on parallel singular configurations the motion produce by the mobile platform can be compared to the reuleaux straightline mechanism | [['the', 'aim', 'of', 'this', 'paper', 'is', 'the', 'kinematic', 'study', 'of', 'a', '3rpr', 'planar', 'parallel', 'manipulator', 'where', 'the', 'three', 'fixed', 'revolute', 'joints', 'are', 'actuated', 'the', 'direct', 'and', 'inverse', 'kinematic', 'problem', 'as', 'well', 'as', 'the', 'singular', 'configuration', 'is', 'characterized', 'on', 'parallel', 'singular', 'configurations', 'the', 'motion', 'produce', 'by', 'the', 'mobile', 'platform', 'can', 'be', 'compared', 'to', 'the', 'reuleaux', 'straightline', 'mechanism']] | [-0.1846206604636141, 0.09836223176015275, -0.036649906945448105, -0.02765576999393358, -0.11846909324854746, -0.1389733766055932, -0.0506828971286138, 0.4037737254984677, -0.2983892281689415, -0.3022494861922626, 0.10140592558309436, -0.24908396199212543, -0.14682393622518117, 0.18087946124640958, -0.05473056104632893, 0.10690879231385354, 0.0752684763200315, 0.03156297111750713, 0.00496373839476811, -0.1360330293058983, 0.29741713704009143, 0.0042457974050194025, 0.2684505824664874, 0.011766047183690327, 0.12277671476892595, 0.03187340270129165, -0.0005898857156613044, 0.08788545674594518, -0.09813118153916937, 0.1028985815667381, 0.23534129287249275, 0.04144146029804168, 0.18060524272732437, -0.4197757968546024, -0.11398131864344967, 0.06774083182348736, 0.17039095166338875, 0.051572006075210605, 0.02638092621054966, -0.2798808503762952, 0.13786527467891574, -0.13345657330605068, -0.15556861367908173, -0.01442670399722244, -0.0284299011857781, 0.02866098602264953, -0.2517493407108954, -0.012500962691514619, 0.06815636159860462, 0.0989727520417156, -0.05336794558596531, -0.07779159975637283, -0.035677454920784966, 0.1449847223453357, 0.029015879387900765, 0.0502326617840611, 0.14531581622681447, -0.11757554336301317, -0.16135168907099537, 0.42411664687928613, 0.0513296657507973, -0.2793153964781335, 0.18928766366194136, -0.06290255726448127, -0.06106018220972536, 0.09054502645241362, 0.20918099284504674, 0.19271723496993737, -0.1753987590449729, 0.09038457929584963, -0.08308053553836155, 0.05730065703392029, 0.10146990091639704, -0.09185022652049415, 0.2334086545737851, 0.18604980236185448, 0.11460634029936045, 0.20913385774266707, -0.10425103659092981, -0.09931199633449848, -0.30474449454673697, -0.15302003369600112, -0.1547287730999025, 0.0021669777343049645, -0.09993767033743747, -0.1791140223587198, 0.3675423343998513, 0.07068631611400633, 0.2387428343229528, 0.051466304542762895, 0.37181072941582116, 0.052981052693212405, 0.04964365886657366, 0.05604678453944091, 0.2571117771273878, 0.06976809723918061, 0.08939767440149028, -0.22622313165837632, 0.05637565418146551, 0.08000187036980476] |
708.3921 | Relation of Curie temperature and conductivity: (Ga,Mn)As alloy as a
case study | Experimental investigations of diluted magnetic semiconductors indicate a
strong relation between Curie temperature and conductivity. Both quantities
depend non trivially on the concentration of magnetic impurities, the carrier
density, and the presence of compensating defects. We calculate both Curie
temperature and conductivity of (Ga,Mn)As alloys in a selfconsistent manner
based on the same first principles Hamiltonian in which the presence of
compensating defects is taken into account. The effect of As-antisites and
Mn-interstitials is determined separately and a good agreement between theory
and experiment exists only in the case where the dominating mechanism of is due
to the Mn-interstitials.
| cond-mat.dis-nn | experimental investigations of diluted magnetic semiconductors indicate a strong relation between curie temperature and conductivity both quantities depend non trivially on the concentration of magnetic impurities the carrier density and the presence of compensating defects we calculate both curie temperature and conductivity of gamnas alloys in a selfconsistent manner based on the same first principles hamiltonian in which the presence of compensating defects is taken into account the effect of asantisites and mninterstitials is determined separately and a good agreement between theory and experiment exists only in the case where the dominating mechanism of is due to the mninterstitials | [['experimental', 'investigations', 'of', 'diluted', 'magnetic', 'semiconductors', 'indicate', 'a', 'strong', 'relation', 'between', 'curie', 'temperature', 'and', 'conductivity', 'both', 'quantities', 'depend', 'non', 'trivially', 'on', 'the', 'concentration', 'of', 'magnetic', 'impurities', 'the', 'carrier', 'density', 'and', 'the', 'presence', 'of', 'compensating', 'defects', 'we', 'calculate', 'both', 'curie', 'temperature', 'and', 'conductivity', 'of', 'gamnas', 'alloys', 'in', 'a', 'selfconsistent', 'manner', 'based', 'on', 'the', 'same', 'first', 'principles', 'hamiltonian', 'in', 'which', 'the', 'presence', 'of', 'compensating', 'defects', 'is', 'taken', 'into', 'account', 'the', 'effect', 'of', 'asantisites', 'and', 'mninterstitials', 'is', 'determined', 'separately', 'and', 'a', 'good', 'agreement', 'between', 'theory', 'and', 'experiment', 'exists', 'only', 'in', 'the', 'case', 'where', 'the', 'dominating', 'mechanism', 'of', 'is', 'due', 'to', 'the', 'mninterstitials']] | [-0.13576017284261374, 0.17314691208836544, -0.039683327777311206, 0.015653880864798946, -0.013318540562371103, -0.11695433684023253, 0.08337647250906836, 0.3722467099820885, -0.21983075276754485, -0.3044672181713395, 0.017056946251007805, -0.32161973593368504, -0.10788740938733099, 0.17201681819278747, 0.026479006904992275, -0.026917290000710636, -0.03577884288097266, -0.014471838197399242, -0.09043848661046165, -0.20233108140382683, 0.274058971767469, 0.055834118934702325, 0.3421675356803462, 0.15943641958680624, 0.06477071679546498, 0.04088554187122403, 0.053991990899703524, 0.10782958131555158, -0.11744914589022908, 0.04042780578830237, 0.20908291853265837, -0.08147663956818481, 0.1869988061080221, -0.47165865495723364, -0.22218645846684618, 0.04774133842632485, 0.07672740643223126, 0.13899551412881314, -0.10069442417443497, -0.24135830598485578, 0.06836676462747467, -0.09613956814670625, -0.07314374707251166, -0.07605180132668465, -0.00040732522514493513, 0.015988759327835094, -0.2830347268512317, 0.13852120124890158, 0.07768989032289635, 0.08266940428681362, -0.1895202613765529, -0.11964042926895975, -0.08609788877947722, 0.11135558801470324, 0.0861582894649473, 0.025063621932834696, 0.1647631760885512, -0.09934267868326667, -0.06261764925632936, 0.3951106621728589, -0.07484336114672867, -0.0963972737235963, 0.1420124449529491, -0.18596520985981138, -0.08213793014874682, 0.11647193087022363, 0.12069410083737846, 0.11642591606262916, -0.15160219727355675, 0.12675989285465525, 0.008589328110247152, 0.1987263407985059, 0.003823822121679162, 0.06071495503351798, 0.2561091134266462, 0.16071448606574754, 0.01735715700124274, 0.12189598372788168, -0.08273838688910473, -0.07242907408605485, -0.2739356120970721, -0.15804585822237036, -0.23257715139576854, 0.03524273951188661, -0.10458557649599243, -0.19874511402546582, 0.3757175516172235, 0.17927641770984337, 0.19710339634912089, -0.038433645642120005, 0.2557160518614789, 0.1434491008403711, 0.06735452615733568, 0.04425119363683431, 0.24973485409767213, 0.2230628547258675, 0.09508105544470406, -0.30113577192726854, 0.11201690786886805, 0.024913518466443445] |
708.3922 | Primordial Light Element Abundances | After few minutes the Universe evolved through conditions of temperature and
density which permitted the first synthesis of astrophysically interesting
abundances of D, 3He, 4He and 7Li. The relic abundances are sensitive probes of
the nucleon density and so are the CMB acoustic oscillations, somewhat 400000
years later, which allow a stringent cross check. The CMB high precision
estimate of the baryon density by WMAP is currently used as input parameter for
standard big bang nucleosynthesis (SBBN) to interpret primordial bundances
rather then being directly derived from the observations of light elements as
was common use before. New atomic physics and identification of systematics
lead to an upwards revision of the 4He primordial abundance at Yp=0.2477 +/-
0.0029 (Peimbert et al 2007) removing a major source of tension between SBBN
and WMAP. The D/H as measured in QSO high redshift absorbing clouds shows an
excess of scatter but the mean value is found in spectacular agreement with the
WMAP prediction. The Li/H recently redetermined in halo dwarfs is more than a
factor 4 lower than expected. We argue that the difference reduces to a factor
2 when the IRFM Teff scale is adopted. Diffusion has been suggested to have
depleted Li in halo dwarfs by the required amount to remove the gap, however
this would imply an implausible high abundance of the more fragile 6Li detected
in some halo dwarfs, thus leaving the puzzle open.
| astro-ph | after few minutes the universe evolved through conditions of temperature and density which permitted the first synthesis of astrophysically interesting abundances of d 3he 4he and 7li the relic abundances are sensitive probes of the nucleon density and so are the cmb acoustic oscillations somewhat 400000 years later which allow a stringent cross check the cmb high precision estimate of the baryon density by wmap is currently used as input parameter for standard big bang nucleosynthesis sbbn to interpret primordial bundances rather then being directly derived from the observations of light elements as was common use before new atomic physics and identification of systematics lead to an upwards revision of the 4he primordial abundance at yp02477 00029 peimbert et al 2007 removing a major source of tension between sbbn and wmap the dh as measured in qso high redshift absorbing clouds shows an excess of scatter but the mean value is found in spectacular agreement with the wmap prediction the lih recently redetermined in halo dwarfs is more than a factor 4 lower than expected we argue that the difference reduces to a factor 2 when the irfm teff scale is adopted diffusion has been suggested to have depleted li in halo dwarfs by the required amount to remove the gap however this would imply an implausible high abundance of the more fragile 6li detected in some halo dwarfs thus leaving the puzzle open | [['after', 'few', 'minutes', 'the', 'universe', 'evolved', 'through', 'conditions', 'of', 'temperature', 'and', 'density', 'which', 'permitted', 'the', 'first', 'synthesis', 'of', 'astrophysically', 'interesting', 'abundances', 'of', 'd', '3he', '4he', 'and', '7li', 'the', 'relic', 'abundances', 'are', 'sensitive', 'probes', 'of', 'the', 'nucleon', 'density', 'and', 'so', 'are', 'the', 'cmb', 'acoustic', 'oscillations', 'somewhat', '400000', 'years', 'later', 'which', 'allow', 'a', 'stringent', 'cross', 'check', 'the', 'cmb', 'high', 'precision', 'estimate', 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708.3923 | Reversible skew Laurent polynomial rings and deformations of Poisson
automorphisms | A skew Laurent polynomial ring R[x^{\pm 1};\alpha] is reversible if it has a
reversing automorphism, that is, an automorphism of period two that transposes
x and x^{-1} and restricts to an automorphism of R. We study invariants for
reversing automorphisms and apply our methods to determine the rings of
invariants of reversing automorphisms of two simple skew Laurent polynomial
rings, namely a localization of the enveloping algebra of the two-dimensional
non-abelian solvable Lie algebra and the coordinate ring of the quantum torus.
These two skew Laurent polynomial rings are deformations of Poisson algebras
and we interpret their reversing automorphisms and their invariants as
deformations of Poisson automorphisms and their invariants.
| math.RA math.QA | a skew laurent polynomial ring rxpm 1alpha is reversible if it has a reversing automorphism that is an automorphism of period two that transposes x and x1 and restricts to an automorphism of r we study invariants for reversing automorphisms and apply our methods to determine the rings of invariants of reversing automorphisms of two simple skew laurent polynomial rings namely a localization of the enveloping algebra of the twodimensional nonabelian solvable lie algebra and the coordinate ring of the quantum torus these two skew laurent polynomial rings are deformations of poisson algebras and we interpret their reversing automorphisms and their invariants as deformations of poisson automorphisms and their invariants | [['a', 'skew', 'laurent', 'polynomial', 'ring', 'rxpm', '1alpha', 'is', 'reversible', 'if', 'it', 'has', 'a', 'reversing', 'automorphism', 'that', 'is', 'an', 'automorphism', 'of', 'period', 'two', 'that', 'transposes', 'x', 'and', 'x1', 'and', 'restricts', 'to', 'an', 'automorphism', 'of', 'r', 'we', 'study', 'invariants', 'for', 'reversing', 'automorphisms', 'and', 'apply', 'our', 'methods', 'to', 'determine', 'the', 'rings', 'of', 'invariants', 'of', 'reversing', 'automorphisms', 'of', 'two', 'simple', 'skew', 'laurent', 'polynomial', 'rings', 'namely', 'a', 'localization', 'of', 'the', 'enveloping', 'algebra', 'of', 'the', 'twodimensional', 'nonabelian', 'solvable', 'lie', 'algebra', 'and', 'the', 'coordinate', 'ring', 'of', 'the', 'quantum', 'torus', 'these', 'two', 'skew', 'laurent', 'polynomial', 'rings', 'are', 'deformations', 'of', 'poisson', 'algebras', 'and', 'we', 'interpret', 'their', 'reversing', 'automorphisms', 'and', 'their', 'invariants', 'as', 'deformations', 'of', 'poisson', 'automorphisms', 'and', 'their', 'invariants']] | [-0.27200740339969276, 0.07443604345989858, -0.10160037032713037, 0.008966837755464223, -0.1384181986571452, -0.15764661243937295, -0.09506980160789547, 0.36658834693355297, -0.4489336989888357, -0.15189662067339235, 0.15014730745054986, -0.2428114811736031, -0.15982798154149716, 0.18795387229856547, -0.14197272243439604, -0.03736375343191241, -0.02738805430505527, 0.10663330311451209, -0.18285561150042426, -0.3386444881250826, 0.3654557840659394, 0.013158385405838148, 0.14353987639513585, -0.00023155028444774654, 0.11907946173990265, 0.005782689420728508, -0.051822216486304126, -0.03829993111500089, -0.16344558385293184, 0.05667761462065605, 0.28321328278152497, 0.016063165398092445, 0.10000220542653986, -0.3689867030367802, -0.039020294537169674, 0.19761727636662918, 0.18680449766149626, 0.007801808888912885, -0.01410739473067224, -0.2584909309436559, 0.10909949751451202, -0.2541970195795555, -0.1704534913216709, -0.08594688143444444, 0.15223235171288252, 0.026683345041878588, -0.21718320445319927, 0.00014705171620627063, 0.1762298937767334, 0.18496421729961443, -0.04649926966735495, -0.027487379678208895, -0.09861543453554836, 0.08859493289946006, -0.0653464941333535, -0.020686582758287907, 0.17733250562648434, -0.06807036078406857, -0.22391559993591878, 0.3509703502208507, 0.012816632122048092, -0.2169477049103263, 0.10950413357398105, -0.2046725310966236, -0.18506771870760605, 0.11038822185145605, 0.05189588040737179, 0.16796018224243725, -0.033941040118865735, 0.21941265724054665, -0.14202573816847364, 0.028613710058254933, 0.12620842208607344, -0.029216444760629342, 0.17236521793956602, -0.014023104307686038, 0.06456893737857239, 0.17645478106761744, 0.03990183731353064, -0.04587262748407388, -0.33363463645886393, -0.1793097622026134, -0.08685555732424516, 0.15237704963517298, -0.16051540626845762, -0.19438448077529122, 0.4721769955043399, 0.0771597622415273, 0.1764121890546532, 0.09588264987281729, 0.18891601679727024, 0.06287916381886109, 0.1085217699400254, 0.05237702007294385, 0.06231441618789227, 0.31369485089196525, -0.09181955969388332, -0.20755713502235643, -0.014946195715611134, 0.21691321482488868] |
708.3924 | Best constants for Lipschitz embeddings of metric spaces into c_0 | We answer a question of Aharoni by showing that every separable metric space
can be Lipschitz 2-embedded into $c_0$ and this result is sharp; this improves
earlier estimates of Aharoni, Assouad and Pelant. We use our methods to examine
the best constant for Lipschitz embeddings of the classical $\ell_p-$spaces
into $c_0$ and give other applications. We prove that if a Banach space embeds
almost isometrically into $c_0$, then it embeds linearly almost isometrically
into $c_0$. We also study Lipschitz embeddings into $c_0^+$.
| math.FA | we answer a question of aharoni by showing that every separable metric space can be lipschitz 2embedded into c_0 and this result is sharp this improves earlier estimates of aharoni assouad and pelant we use our methods to examine the best constant for lipschitz embeddings of the classical ell_pspaces into c_0 and give other applications we prove that if a banach space embeds almost isometrically into c_0 then it embeds linearly almost isometrically into c_0 we also study lipschitz embeddings into c_0 | [['we', 'answer', 'a', 'question', 'of', 'aharoni', 'by', 'showing', 'that', 'every', 'separable', 'metric', 'space', 'can', 'be', 'lipschitz', '2embedded', 'into', 'c_0', 'and', 'this', 'result', 'is', 'sharp', 'this', 'improves', 'earlier', 'estimates', 'of', 'aharoni', 'assouad', 'and', 'pelant', 'we', 'use', 'our', 'methods', 'to', 'examine', 'the', 'best', 'constant', 'for', 'lipschitz', 'embeddings', 'of', 'the', 'classical', 'ell_pspaces', 'into', 'c_0', 'and', 'give', 'other', 'applications', 'we', 'prove', 'that', 'if', 'a', 'banach', 'space', 'embeds', 'almost', 'isometrically', 'into', 'c_0', 'then', 'it', 'embeds', 'linearly', 'almost', 'isometrically', 'into', 'c_0', 'we', 'also', 'study', 'lipschitz', 'embeddings', 'into', 'c_0']] | [-0.06267589269088075, 0.11800336601776014, -0.06879581729622765, 0.09341157269577875, -0.10036300018682708, -0.16662686512472086, 0.009653922607317383, 0.4585387090473999, -0.3536118818332016, -0.10933499099732732, 0.12239603049346004, -0.3149165025923723, -0.16158742819809252, 0.22569382554035128, -0.16099177517088842, -0.0177678274433416, 0.09818549284044607, 0.046387346633882436, -0.057436494208458394, -0.36948212781162176, 0.36482898782317835, -0.09569010283958948, 0.16547744398085792, 0.11034237170867899, 0.12459501397025621, 0.008755194637665732, -0.017064637343548697, 0.029039599495094822, -0.27554388162137416, 0.11170757034172614, 0.2525937204985063, 0.20131160409971613, 0.31688171022652106, -0.32766669277313026, -0.2204485873369799, 0.21963280612418865, 0.17384237765598995, -0.02298690690256563, -0.013113990865854753, -0.32843883951872954, 0.08407590563558502, -0.06722552094171629, -0.03408924940352639, -0.15337125429262718, 0.014057022530907466, -0.06343434223571769, -0.3035090257540161, -0.004858155749568624, 0.2562813438061211, -0.050884743974210674, -0.16200042550486546, -0.09793412243016064, -0.06911189338755737, 0.10056002334588104, -0.007594416394713784, 0.15228014701350742, 0.04713872598734236, 0.037007061678364324, -0.06915822929852171, 0.33514538191166926, -0.1296727368378161, -0.23863439006374482, 0.09191482427334528, -0.1616459323702679, -0.1355749748957654, 0.06932618727125688, 0.12650717735106562, 0.09644180840962095, -0.02048353433471035, 0.2245993370306678, -0.1394271613271148, 0.17534938888957746, 0.10469930468380083, 0.059188946035265186, 0.027770583069434873, 0.10362618620633895, 0.18882171188791594, 0.1883744241498744, 0.11374765551752514, 0.035383129578635646, -0.3312315885207535, -0.20746170280984155, -0.138317674835339, 0.12410752385003883, -0.15989195696817693, -0.19801667399336526, 0.31397389426229544, 0.06699166102780398, 0.21635649271631313, 0.12987334902087846, 0.26697673331256266, 0.010300567909718755, 0.005521827081310345, 0.14121783060815046, 0.18806778867211607, 0.1272858768776289, -0.02488536936127477, -0.0566718220009388, 0.0004567047236142335, 0.2538141138207765] |
708.3925 | Method of self-similar factor approximants | The method of self-similar factor approximants is completed by defining the
approximants of odd orders, constructed from the power series with the largest
term of an odd power. It is shown that the method provides good approximations
for transcendental functions. In some cases, just a few terms in a power series
make it possible to reconstruct a transcendental function exactly. Numerical
convergence of the factor approximants is checked for several examples. A
special attention is paid to the possibility of extrapolating the behavior of
functions, with arguments tending to infinity, from the related asymptotic
series at small arguments. Applications of the method are thoroughly
illustrated by the examples of several functions, nonlinear differential
equations, and anharmonic models.
| math-ph math.MP physics.comp-ph | the method of selfsimilar factor approximants is completed by defining the approximants of odd orders constructed from the power series with the largest term of an odd power it is shown that the method provides good approximations for transcendental functions in some cases just a few terms in a power series make it possible to reconstruct a transcendental function exactly numerical convergence of the factor approximants is checked for several examples a special attention is paid to the possibility of extrapolating the behavior of functions with arguments tending to infinity from the related asymptotic series at small arguments applications of the method are thoroughly illustrated by the examples of several functions nonlinear differential equations and anharmonic models | [['the', 'method', 'of', 'selfsimilar', 'factor', 'approximants', 'is', 'completed', 'by', 'defining', 'the', 'approximants', 'of', 'odd', 'orders', 'constructed', 'from', 'the', 'power', 'series', 'with', 'the', 'largest', 'term', 'of', 'an', 'odd', 'power', 'it', 'is', 'shown', 'that', 'the', 'method', 'provides', 'good', 'approximations', 'for', 'transcendental', 'functions', 'in', 'some', 'cases', 'just', 'a', 'few', 'terms', 'in', 'a', 'power', 'series', 'make', 'it', 'possible', 'to', 'reconstruct', 'a', 'transcendental', 'function', 'exactly', 'numerical', 'convergence', 'of', 'the', 'factor', 'approximants', 'is', 'checked', 'for', 'several', 'examples', 'a', 'special', 'attention', 'is', 'paid', 'to', 'the', 'possibility', 'of', 'extrapolating', 'the', 'behavior', 'of', 'functions', 'with', 'arguments', 'tending', 'to', 'infinity', 'from', 'the', 'related', 'asymptotic', 'series', 'at', 'small', 'arguments', 'applications', 'of', 'the', 'method', 'are', 'thoroughly', 'illustrated', 'by', 'the', 'examples', 'of', 'several', 'functions', 'nonlinear', 'differential', 'equations', 'and', 'anharmonic', 'models']] | [-0.10269749977200045, 0.013591947484861972, -0.09523653213937695, 0.11427555814918736, -0.0594227269379438, -0.10781724219266166, 0.02876986071276359, 0.3100973004554836, -0.2703970272738773, -0.24734519235789776, 0.10798054491567752, -0.31869814153482073, -0.18037393368764693, 0.27730967491292036, -0.0006845480340540919, 0.11621716164381335, 0.018286666223922603, 0.05175543438770577, -0.08897790829820208, -0.2987728398372857, 0.31296252561971927, 0.0520093989932639, 0.2189018751741347, 0.01588682058211575, 0.10131161938009497, -0.0723798878204364, -0.05943847471115808, 0.006226797531563247, -0.14242244937137996, 0.07796419440155737, 0.24463958418510806, 0.08079520414750545, 0.3212301446857233, -0.3839121714918914, -0.18533106270926789, 0.08942273309510042, 0.1416179398054846, 0.0723872797555712, -0.008729080000940042, -0.21542731943962157, 0.100337987106978, -0.20530449906284484, -0.21854057380308708, -0.1662276621080107, 0.030140325212134764, 0.08194624369717243, -0.29063163672247505, 0.05466730938627361, 0.04662877089606646, 0.06186280124741168, -0.022337078808361076, -0.124686071370593, 0.01944670625604116, 0.09027237889683272, 0.12319873389389971, 0.001613837845910054, 0.04792221409515438, -0.12340774662537962, -0.0901162911656225, 0.3748217013099382, -0.02507042335983143, -0.24216276411221832, 0.13449506144413453, -0.17397100642785177, -0.1176635443758315, 0.17540858274337667, 0.11095787780598187, 0.16295826306136754, -0.11339076914880265, 0.11448670340190506, -0.014694002588303426, 0.13361303637632066, 0.10381551242521049, -0.03679733022522086, 0.14736211211539996, 0.11350110954899564, 0.024458227713958513, 0.16854522469588834, 0.041100095732647, -0.09363149426793918, -0.33695346396416426, -0.07823060374133863, -0.21314422393010723, 0.060829559631613836, -0.13641358904814663, -0.17054402240841554, 0.4414905476757986, 0.07991949937696385, 0.1874018710337452, 0.07631385805180822, 0.28756612412727034, 0.1969901353566565, 0.06416680399551351, 0.022502583118243158, 0.18947106740824504, 0.15693518611538804, 0.060793475861836255, -0.18056341770560774, 0.03850076024412599, 0.11580598535828102] |
708.3926 | Can we trust semiclassical description of particle creation? | The predictions of the semiclassical description of particle creation based
on QFT in classical backgrounds may be significantly modified when the source
of the classical background is also quantized and backreaction is taken into
account. In the cases of a stable charged particle, expanding empty (Milne)
universe, and de Sitter universe with a true cosmological constant, the
semiclassical particle creation is completely blocked up.
| hep-th gr-qc hep-ph | the predictions of the semiclassical description of particle creation based on qft in classical backgrounds may be significantly modified when the source of the classical background is also quantized and backreaction is taken into account in the cases of a stable charged particle expanding empty milne universe and de sitter universe with a true cosmological constant the semiclassical particle creation is completely blocked up | [['the', 'predictions', 'of', 'the', 'semiclassical', 'description', 'of', 'particle', 'creation', 'based', 'on', 'qft', 'in', 'classical', 'backgrounds', 'may', 'be', 'significantly', 'modified', 'when', 'the', 'source', 'of', 'the', 'classical', 'background', 'is', 'also', 'quantized', 'and', 'backreaction', 'is', 'taken', 'into', 'account', 'in', 'the', 'cases', 'of', 'a', 'stable', 'charged', 'particle', 'expanding', 'empty', 'milne', 'universe', 'and', 'de', 'sitter', 'universe', 'with', 'a', 'true', 'cosmological', 'constant', 'the', 'semiclassical', 'particle', 'creation', 'is', 'completely', 'blocked', 'up']] | [-0.06695996631970047, 0.22041193407494575, -0.14880695616739104, 0.12487381402570463, -0.07552850173669867, -0.15288313273049425, -0.04641529155196622, 0.2581977794470731, -0.18620590814680327, -0.24432718066964298, 0.04445918450073805, -0.2483888494898565, -0.0212188593504834, 0.15452347612699668, -0.03254472308617551, -0.021100831654621288, 0.056752929085632786, 0.05615511849464383, -0.023529777172370814, -0.2911058678291738, 0.3259367668433697, 0.1418937220078078, 0.27525878642336465, 0.004586978262523189, 0.10641264564037556, 0.011848004611238139, -0.07246504434078815, 0.08364863105654763, -0.13262358176871203, 0.03709710408656974, 0.16594057204929413, 0.11866468255902873, 0.186147447937401, -0.4485175836889539, -0.22686772835004376, 0.10812807288311888, 0.20433665247401223, 0.21365240997988622, -0.07605657663407328, -0.34832899959292263, 0.044920983869815245, -0.1376081992930267, -0.13927512595546432, -0.0026398922163934913, 0.00522324709163513, -0.08484860366297653, -0.20737662586179795, 0.12504365905851955, 0.05389375912636751, -0.10804556554649025, -0.11822495060914662, -0.037663914627046324, -0.003126726543996483, 0.06632742869123831, 0.0691903733095387, 0.031770698213222204, 0.18238316507995478, -0.14531458416604437, -0.10025881539331749, 0.4271791197825223, -0.1114267306693364, -0.2243811744992854, 0.12982990815726225, -0.1837588019989198, -0.07606722529999388, 0.16141898393834708, 0.08170350587170105, 0.12019634311582195, -0.12155119620479127, 0.22779031947538897, 0.03857868707564194, 0.11616586830723463, 0.12223697736226313, 0.02828763350044028, 0.3169734478578903, 0.09381064895933378, 0.0182994989791041, 0.09381310373828455, -0.03155733093080926, -0.19292802129348274, -0.3865573105867952, -0.17792579224624205, -0.16339915749267675, 0.1152146540407557, -0.14308718328493342, -0.24705591262318194, 0.3451550086901989, 0.09678003398585133, 0.14306570056214696, -0.010544816206675023, 0.28180484627955593, 0.08904468173568603, -0.017750134520611027, 0.07657424372882815, 0.2759763386566192, 0.0865368049016979, 0.11419563025265234, -0.22537169953648117, -0.04673090757569298, 0.09457260777708143] |
708.3927 | Asymptotics of LRS Bianchi type I cosmological models with elastic
matter | In this paper we report on results in the study of spatially homogeneous
cosmological models with elastic matter. We show that the behavior of elastic
solutions is fundamentally different from that of perfect fluid solutions
already in the case of locally rotationally symmetric (LRS) Bianchi type I
models; this is true even when the elastic material resembles a perfect fluid
very closely. In particular, the approach to the initial singularity is
characterized by an intricate oscillatory behavior of the scale factors, while
the future asymptotic behavior is described by isotropization rates that differ
significantly from those of perfect fluids.
| gr-qc | in this paper we report on results in the study of spatially homogeneous cosmological models with elastic matter we show that the behavior of elastic solutions is fundamentally different from that of perfect fluid solutions already in the case of locally rotationally symmetric lrs bianchi type i models this is true even when the elastic material resembles a perfect fluid very closely in particular the approach to the initial singularity is characterized by an intricate oscillatory behavior of the scale factors while the future asymptotic behavior is described by isotropization rates that differ significantly from those of perfect fluids | [['in', 'this', 'paper', 'we', 'report', 'on', 'results', 'in', 'the', 'study', 'of', 'spatially', 'homogeneous', 'cosmological', 'models', 'with', 'elastic', 'matter', 'we', 'show', 'that', 'the', 'behavior', 'of', 'elastic', 'solutions', 'is', 'fundamentally', 'different', 'from', 'that', 'of', 'perfect', 'fluid', 'solutions', 'already', 'in', 'the', 'case', 'of', 'locally', 'rotationally', 'symmetric', 'lrs', 'bianchi', 'type', 'i', 'models', 'this', 'is', 'true', 'even', 'when', 'the', 'elastic', 'material', 'resembles', 'a', 'perfect', 'fluid', 'very', 'closely', 'in', 'particular', 'the', 'approach', 'to', 'the', 'initial', 'singularity', 'is', 'characterized', 'by', 'an', 'intricate', 'oscillatory', 'behavior', 'of', 'the', 'scale', 'factors', 'while', 'the', 'future', 'asymptotic', 'behavior', 'is', 'described', 'by', 'isotropization', 'rates', 'that', 'differ', 'significantly', 'from', 'those', 'of', 'perfect', 'fluids']] | [-0.14580208470461645, 0.14065863715259552, -0.11671857444691175, 0.024385625202528606, -0.05212194543576451, -0.14102304949556863, -0.05382477304065657, 0.33428427467894073, -0.2708452201477485, -0.24702550027274875, 0.09572010111496454, -0.25678155807345504, -0.1778785115216078, 0.151965410298094, -0.031514080278951716, 0.003975062885067679, 0.04693873118458673, 0.02374804467715398, -0.05379924342280837, -0.2259049936094218, 0.40398843887478414, 0.06373587303390407, 0.32819144147438833, -0.015566424546631598, 0.05040054686245217, -0.0423626273992763, -0.015613215787317416, 0.09118081105289737, -0.1824314327462373, 0.05896686061492397, 0.2414822068775803, 0.035460657904243846, 0.17405965567726378, -0.43814603777395356, -0.2207585670938245, 0.10283283541693983, 0.132181906929202, 0.16615250498536183, -0.040085391062688124, -0.2435507791098019, 0.10530910160418393, -0.1519804871970355, -0.17423650902705362, -0.028563816156802757, 0.014774384851934332, 0.04393051971500325, -0.23191309116329206, 0.1612238452553448, 0.08813718671562394, 0.0033609750080910144, -0.14576102947496405, -0.06273050693268276, 0.021679817927022924, 0.044229570436679445, 0.09305941919100029, -0.043207101780225084, 0.0798509852970113, -0.22829139742040724, -0.061282956690499275, 0.41536662448197603, -0.08513978125075951, -0.20159542836211244, 0.192653873530828, -0.1636934642670582, -0.07380378230197374, 0.1399274719784958, 0.12941770151144627, 0.1488384589543472, -0.14431036029300873, 0.10916519883764035, -0.052692033151738496, 0.15467828807933726, 0.05987330455676361, -0.008194771303672983, 0.20389645332188316, 0.14764511491632973, 0.013041403756072425, 0.136431524974548, 0.0005220821564734886, -0.12921452877873724, -0.3081231735025843, -0.125397989781564, -0.16811800846651273, 0.0996128951194649, -0.11598155076493218, -0.1872335286773365, 0.37530082938345993, 0.09773565577625325, 0.17924558125304604, 0.023876949674402823, 0.24653321948617396, 0.05940946928140792, -0.021681076169691303, 0.10695414915869031, 0.30987510237504134, 0.07852246022002414, 0.1259401219431311, -0.21247024816752533, 0.08412432215280002, 0.018640010415416474] |
708.3928 | Finite-dimensional simple Poisson modules | We prove a result that can be applied to determine the finite-dimensional
simple Poisson modules over a Poisson algebra and apply it to numerous
examples. In the discussion of the examples, the emphasis is on the
correspondence with the finite-dimensional simple modules over deformations and
on the behaviour of finite-dimensional simple Poisson modules on the passage
from a Poisson algebra to the Poisson subalgebra of invariants for the action
of a finite group of Poisson automorphisms.
| math.RA math.QA | we prove a result that can be applied to determine the finitedimensional simple poisson modules over a poisson algebra and apply it to numerous examples in the discussion of the examples the emphasis is on the correspondence with the finitedimensional simple modules over deformations and on the behaviour of finitedimensional simple poisson modules on the passage from a poisson algebra to the poisson subalgebra of invariants for the action of a finite group of poisson automorphisms | [['we', 'prove', 'a', 'result', 'that', 'can', 'be', 'applied', 'to', 'determine', 'the', 'finitedimensional', 'simple', 'poisson', 'modules', 'over', 'a', 'poisson', 'algebra', 'and', 'apply', 'it', 'to', 'numerous', 'examples', 'in', 'the', 'discussion', 'of', 'the', 'examples', 'the', 'emphasis', 'is', 'on', 'the', 'correspondence', 'with', 'the', 'finitedimensional', 'simple', 'modules', 'over', 'deformations', 'and', 'on', 'the', 'behaviour', 'of', 'finitedimensional', 'simple', 'poisson', 'modules', 'on', 'the', 'passage', 'from', 'a', 'poisson', 'algebra', 'to', 'the', 'poisson', 'subalgebra', 'of', 'invariants', 'for', 'the', 'action', 'of', 'a', 'finite', 'group', 'of', 'poisson', 'automorphisms']] | [-0.11205582604988625, 0.020332582846381946, -0.09779393807739804, 0.040696786626205336, -0.12283648528452766, -0.1025115329723217, -0.00020762336881537187, 0.3680366156132598, -0.3889538844753253, -0.17758133949246258, 0.13581343448420644, -0.1962405771237651, -0.19087794350343756, 0.2637329160873043, -0.149419987990864, -0.047099720539623184, 0.096815154544617, 0.1786367048411385, -0.10692942775724652, -0.28586979879458485, 0.4090219739530432, 0.050945422247566874, 0.2511056926297514, -0.01876897735545706, 0.18339949754360868, 0.028227165077911003, -0.046818510230973755, -0.005325893025943323, -0.11690025027019146, 0.07941123239058805, 0.2943331393486771, -0.007638493414943744, 0.20554743486603624, -0.37358946625241324, -0.13727564033807108, 0.14927015076759026, 0.11118679535330127, 0.057273620411778164, -0.002017587069483278, -0.2997138888183001, 0.10608596858372421, -0.2448956577940599, -0.11195939292175401, -0.06389847112280365, 0.029107146553303067, 0.029985464484381833, -0.25550461192860413, -0.0062001397539126245, 0.0933639284615454, 0.10202391787530168, -0.09716867475378278, -0.052437720887706075, -0.04773397094226981, 0.07591675349364155, -0.06908205557479768, -0.03960085018403142, 0.16081072927428117, -0.08026931192235727, -0.1614137322237519, 0.3753707795648983, -0.00709081990154166, -0.2963245343416929, 0.19222467601005183, -0.16743663591822902, -0.19484703597539155, 0.0985193264572636, 0.11789801540343385, 0.08848076056394923, -0.08383200165055889, 0.18824182035811982, -0.09956489405349682, -0.018992838045386106, 0.039488758450668106, -0.07934981157488533, 0.1442380286630635, 0.13537116138583147, 0.06844507630816415, 0.12855444442768776, 0.004911173426080495, -0.10421447885394293, -0.37432211671808835, -0.183931266533603, -0.13293552232023917, 0.15275503065755688, -0.13610419279881936, -0.18693005134302534, 0.4534951967040175, 0.10264787949793237, 0.23423315932067404, 0.1323962534263142, 0.20277900052698036, 0.12846487325518147, 0.07560536623809878, 0.021664042411813217, 0.09595722626698644, 0.28771079872048605, -0.02374477728306757, -0.11693775587972548, -0.04345177275153171, 0.15270930154886292] |
708.3929 | The solution of the Minkowski problem for open surfaces in Riemannian
space | Author reduces the Minkowski problem to the problem of construction the
G-deformations preserving the product of principal curvatures for every point
of surface in Riemannian space. G-deformation transfers every normal vector of
surface in parallel along the path of the translation for each point of
surface. The continuous G-deformations preserving the product of principal
curvatures of surface with boundary are considered in this article. The
equations of deformations which are obtained in this paper reduce to the
nonlinear boundary-value problem. The method of construction continuous
G-deformations preserving the product of principal curvatures of surface with
boundary and its qualitative analysis are presented in this article
| math.DG math.AP | author reduces the minkowski problem to the problem of construction the gdeformations preserving the product of principal curvatures for every point of surface in riemannian space gdeformation transfers every normal vector of surface in parallel along the path of the translation for each point of surface the continuous gdeformations preserving the product of principal curvatures of surface with boundary are considered in this article the equations of deformations which are obtained in this paper reduce to the nonlinear boundaryvalue problem the method of construction continuous gdeformations preserving the product of principal curvatures of surface with boundary and its qualitative analysis are presented in this article | [['author', 'reduces', 'the', 'minkowski', 'problem', 'to', 'the', 'problem', 'of', 'construction', 'the', 'gdeformations', 'preserving', 'the', 'product', 'of', 'principal', 'curvatures', 'for', 'every', 'point', 'of', 'surface', 'in', 'riemannian', 'space', 'gdeformation', 'transfers', 'every', 'normal', 'vector', 'of', 'surface', 'in', 'parallel', 'along', 'the', 'path', 'of', 'the', 'translation', 'for', 'each', 'point', 'of', 'surface', 'the', 'continuous', 'gdeformations', 'preserving', 'the', 'product', 'of', 'principal', 'curvatures', 'of', 'surface', 'with', 'boundary', 'are', 'considered', 'in', 'this', 'article', 'the', 'equations', 'of', 'deformations', 'which', 'are', 'obtained', 'in', 'this', 'paper', 'reduce', 'to', 'the', 'nonlinear', 'boundaryvalue', 'problem', 'the', 'method', 'of', 'construction', 'continuous', 'gdeformations', 'preserving', 'the', 'product', 'of', 'principal', 'curvatures', 'of', 'surface', 'with', 'boundary', 'and', 'its', 'qualitative', 'analysis', 'are', 'presented', 'in', 'this', 'article']] | [-0.16700283257024628, 0.07327553551821482, -0.06175316674634814, -0.03449124933907851, -0.05925754901199114, -0.07734285065726865, -0.029917142439323165, 0.3416595239369642, -0.3127876994155702, -0.21613254176807545, 0.12487441627641342, -0.27834222390360774, -0.16256506987625644, 0.1674782429289605, -0.11718959855359225, 0.0721586363295847, 0.05612159023682276, 0.05844229402109271, -0.1446854439297957, -0.2262162466134344, 0.4190980950813918, -0.013931209549662612, 0.26975623292271933, 0.044097371230877584, 0.12560844479261765, 0.03353656687374626, -0.06651419594085642, 0.014633023013482757, -0.12455934038873584, 0.2004759504382188, 0.25380582108738875, 0.07419364924675652, 0.23420118953411778, -0.39995851765686113, -0.1892931796427417, 0.11287102867804823, 0.07510522601771213, 0.05322189005867888, 0.019041968500685125, -0.272292992561346, 0.09538867650997071, -0.075972479883404, -0.15700222381523676, -0.02274412169520344, -0.006444771676546051, -0.01690192318388394, -0.1772111439811332, 0.06941123385691926, 0.10658606536509026, 0.08856334755463259, -0.14039237865224657, -0.09627339577391034, -0.10361300013249829, 0.13067681007974205, 0.1105603374873421, 0.06507646254308166, 0.07792985870342126, -0.07743921671727938, -0.07367356011555308, 0.38164777954419454, -0.05622421226331166, -0.2868632514118439, 0.11237661451810882, -0.13820947694281738, -0.13480493602387253, 0.13866855324733826, 0.17211364493040102, 0.14665151892141218, -0.10561573668161318, 0.14646027717417814, -0.033272356280524815, 0.05563112810708671, 0.10173913171692263, -0.03714212185392777, 0.139471121316213, 0.134097293994966, 0.146868813694233, 0.1522921604813919, -0.05339388396324856, -0.06823063572602613, -0.38032807243012245, -0.27131082634275244, -0.16031355543195136, 0.015451843975599677, -0.11983711015685307, -0.24150573210347268, 0.4201722007732661, 0.072085531268801, 0.1896055970784454, 0.07334774574819243, 0.2651027293077537, 0.11533216863338436, 0.02115669527667619, 0.07674446224811532, 0.17837257924977512, 0.17341464935314088, 0.04414724675672395, -0.19945755315101926, -0.007729778072929808, 0.13056755236216955] |
708.393 | Experimental measurement of acceleration correlations and pressure
structure functions in high Reynolds number turbulence | We present measurements of fluid particle accelerations in turbulent water
flows between counter-rotating disks using three-dimensional Lagrangian
particle tracking. By simultaneously following multiple particles with
sub-Kolmogorov-time-scale temporal resolution, we measured the spatial
correlation of fluid particle acceleration at Taylor microscale Reynolds
numbers between 200 and 690. We also obtained indirect, non-intrusive
measurements of the Eulerian pressure structure functions by integrating the
acceleration correlations. Our experimental data provide strong support to the
theoretical predictions of the acceleration correlations and the pressure
structure function in isotropic high Reynolds number turbulence by Obukhov and
Yaglom in 1951. The measured pressure structure functions display K41 scaling
in the inertial range.
| physics.flu-dyn | we present measurements of fluid particle accelerations in turbulent water flows between counterrotating disks using threedimensional lagrangian particle tracking by simultaneously following multiple particles with subkolmogorovtimescale temporal resolution we measured the spatial correlation of fluid particle acceleration at taylor microscale reynolds numbers between 200 and 690 we also obtained indirect nonintrusive measurements of the eulerian pressure structure functions by integrating the acceleration correlations our experimental data provide strong support to the theoretical predictions of the acceleration correlations and the pressure structure function in isotropic high reynolds number turbulence by obukhov and yaglom in 1951 the measured pressure structure functions display k41 scaling in the inertial range | [['we', 'present', 'measurements', 'of', 'fluid', 'particle', 'accelerations', 'in', 'turbulent', 'water', 'flows', 'between', 'counterrotating', 'disks', 'using', 'threedimensional', 'lagrangian', 'particle', 'tracking', 'by', 'simultaneously', 'following', 'multiple', 'particles', 'with', 'subkolmogorovtimescale', 'temporal', 'resolution', 'we', 'measured', 'the', 'spatial', 'correlation', 'of', 'fluid', 'particle', 'acceleration', 'at', 'taylor', 'microscale', 'reynolds', 'numbers', 'between', '200', 'and', '690', 'we', 'also', 'obtained', 'indirect', 'nonintrusive', 'measurements', 'of', 'the', 'eulerian', 'pressure', 'structure', 'functions', 'by', 'integrating', 'the', 'acceleration', 'correlations', 'our', 'experimental', 'data', 'provide', 'strong', 'support', 'to', 'the', 'theoretical', 'predictions', 'of', 'the', 'acceleration', 'correlations', 'and', 'the', 'pressure', 'structure', 'function', 'in', 'isotropic', 'high', 'reynolds', 'number', 'turbulence', 'by', 'obukhov', 'and', 'yaglom', 'in', '1951', 'the', 'measured', 'pressure', 'structure', 'functions', 'display', 'k41', 'scaling', 'in', 'the', 'inertial', 'range']] | [-0.16388066197701154, 0.21843826232389324, -0.10125410424190617, 0.053908605651841274, -0.024492746972966762, -0.07420889166671606, -0.050219127662213786, 0.32843618868362334, -0.28276057673584937, -0.36814341225794384, -0.020377068097392717, -0.25351268417601075, -0.030768238101154567, 0.1639942344400056, 0.04902241565605869, 0.10721797757127899, 0.03037800915494916, -0.06806873470472749, -0.021223350419175058, -0.13106068924424194, 0.2709265522348384, 0.13469694779653635, 0.2671845188364387, 0.04699342086733807, 0.1466607794531488, -0.03849935117842895, -0.05936323999471608, 0.08819047224574855, -0.20966359847446991, 0.033355223737834463, 0.2117467705260164, 0.03234057540761395, 0.22390783894585356, -0.4574949783938272, -0.23793050055170342, 0.018645752922055267, 0.12304993042988437, 0.043637654269557624, -0.07480992043302173, -0.26724410501441787, 0.02796744458554756, -0.16533106299826786, -0.11694000844533245, -0.07536352398871843, 0.026274451990390107, 0.10699967823013486, -0.257455129324392, 0.2061101501826973, 0.016847633264426676, 0.15643329252267169, -0.0937526345208642, -0.06090133923682429, -0.017260234503607665, 0.07862158646412787, 0.06382809991815261, 0.0022906525282277946, 0.17790455453186518, -0.15535932276397943, -0.06315809960998152, 0.36916849430473075, -0.09001234585108857, -0.22229741198188138, 0.22492402192382585, -0.23425871368408913, -0.06602148010085027, 0.16817475310693095, 0.18443528811802112, 0.057770401221655665, -0.09142102893120388, 0.010478726821574604, -0.05385584630781696, 0.15482458325014228, 0.11243314006853672, -0.03384385887267334, 0.19053503962765847, 0.1400876251692396, -0.006794625328898075, 0.06995496815015075, -0.158073077397421, -0.09613562723444331, -0.29229233523531417, -0.1490485565559495, -0.1800219019653187, 0.007865713106557017, -0.15776696249446276, -0.107196838767933, 0.33685650488006924, 0.16205293362339337, 0.19779427603241942, 0.06281601924759646, 0.3291741256380365, 0.07791291160752908, 0.03360187450778626, 0.1317438767779441, 0.2901201821098636, 0.18720030546454447, 0.1891122059807891, -0.2394270222367985, 0.012905812649322407, 0.0852392616903498] |
708.3931 | The effect of time-dependent coupling on non-equilibrium steady states | Consider (for simplicity) two one-dimensional semi-infinite leads coupled to
a quantum well via time dependent point interactions. In the remote past the
system is decoupled, and each of its components is at thermal equilibrium. In
the remote future the system is fully coupled. We define and compute the non
equilibrium steady state (NESS) generated by this evolution. We show that when
restricted to the subspace of absolute continuity of the fully coupled system,
the state does not depend at all on the switching. Moreover, we show that the
stationary charge current has the same invariant property, and derive the
Landau-Lifschitz and Landauer-Buttiker formulas.
| math-ph cond-mat.mes-hall math.MP | consider for simplicity two onedimensional semiinfinite leads coupled to a quantum well via time dependent point interactions in the remote past the system is decoupled and each of its components is at thermal equilibrium in the remote future the system is fully coupled we define and compute the non equilibrium steady state ness generated by this evolution we show that when restricted to the subspace of absolute continuity of the fully coupled system the state does not depend at all on the switching moreover we show that the stationary charge current has the same invariant property and derive the landaulifschitz and landauerbuttiker formulas | [['consider', 'for', 'simplicity', 'two', 'onedimensional', 'semiinfinite', 'leads', 'coupled', 'to', 'a', 'quantum', 'well', 'via', 'time', 'dependent', 'point', 'interactions', 'in', 'the', 'remote', 'past', 'the', 'system', 'is', 'decoupled', 'and', 'each', 'of', 'its', 'components', 'is', 'at', 'thermal', 'equilibrium', 'in', 'the', 'remote', 'future', 'the', 'system', 'is', 'fully', 'coupled', 'we', 'define', 'and', 'compute', 'the', 'non', 'equilibrium', 'steady', 'state', 'ness', 'generated', 'by', 'this', 'evolution', 'we', 'show', 'that', 'when', 'restricted', 'to', 'the', 'subspace', 'of', 'absolute', 'continuity', 'of', 'the', 'fully', 'coupled', 'system', 'the', 'state', 'does', 'not', 'depend', 'at', 'all', 'on', 'the', 'switching', 'moreover', 'we', 'show', 'that', 'the', 'stationary', 'charge', 'current', 'has', 'the', 'same', 'invariant', 'property', 'and', 'derive', 'the', 'landaulifschitz', 'and', 'landauerbuttiker', 'formulas']] | [-0.149498730477452, 0.14459304237349446, -0.0831222816859824, -0.0026175629740888343, -0.012111228027209205, -0.15370599562030973, 0.01632703086067425, 0.3428141559266205, -0.3211461347188728, -0.21761624309351868, 0.11380906752762791, -0.2686639153262944, -0.08217381135203415, 0.1454143026613097, -0.002000728246130872, 0.05128073990650168, 0.058395649501443526, 0.06762816381948158, -0.08775362416251915, -0.20669907291682021, 0.3508866293970676, 0.005445894660333225, 0.3219115791720275, 0.04646197875545731, 0.15356512807164957, 0.04284806444436239, 0.018979419774412025, 0.029409489337834122, -0.10410453842597385, 0.05072755040148798, 0.1975395234609113, 0.06227464366758478, 0.23590624789499398, -0.4517627203095596, -0.18001729461536245, 0.11250090963903417, 0.1302331070533221, 0.13534126935291638, 0.007243069154391228, -0.25281107613762605, 0.0816412235568368, -0.16514324089421809, -0.1556305650269016, -0.07954992423539312, -0.00020018914370860868, 0.035155664532653334, -0.2417528926286376, 0.08354355634000261, 0.06459569526063189, 0.0008204736864393197, -0.09894269982520129, -0.05500281792138568, -0.06192706809017482, 0.1545419972692277, -0.036335912030145016, -0.007759582671761802, 0.14677647700605606, -0.1097773139758343, -0.09077956571438106, 0.33702188632586627, -0.10745575732678103, -0.2298699790901206, 0.22487852832718383, -0.1529810724065648, -0.10608210896019761, 0.08924108589276021, 0.12741559779596995, 0.13309396649213526, -0.1751470068381767, 0.12372740753926337, -0.035085255830566785, 0.13719027495414055, -0.011574879478554703, 0.03989125195058804, 0.2173056220935287, 0.13210702547125375, 0.11104251153011822, 0.17295530148176025, -0.04605188339415178, -0.16181609750209938, -0.3012751841632812, -0.17012833368973534, -0.1916726312511917, 0.056903434214459106, -0.031380175047178833, -0.1803483424473156, 0.4192726463610668, 0.15758830061164295, 0.17598775173627854, 0.04591034390755649, 0.2938196064917895, 0.20397537562417464, 0.003275136060976577, 0.116840002872954, 0.27508725974374243, 0.12667902698740363, 0.09408898376498046, -0.28124251407887607, 0.07479618819774066, 0.039295469862815825] |
708.3932 | Generalized Gamma Convolutions, Dirichlet means, Thorin measures, with
explicit examples | In Section 1, we present a number of classical results concerning the
Generalized Gamma Convolution (:GGC) variables, their Wiener-Gamma
representations, and relation with the Dirichlet processes.To a GGC variable,
one may associate a unique Thorin measure. Let $G$ a positive r.v. and
$\Gamma_t(G)$ (resp. $\Gamma_t(1/G))$ the Generalized Gamma Convolution with
Thorin measure $t$-times the law of $G$ (resp. the law of $1/G$). In Section 2,
we compare the laws of $\Gamma_t(G)$ and $\Gamma_t(1/G)$.In Section 3, we
present some old and some new examples of GGC variables, among which the
lengths of excursions of Bessel processes straddling an independent exponential
time.
| math.PR | in section 1 we present a number of classical results concerning the generalized gamma convolution ggc variables their wienergamma representations and relation with the dirichlet processesto a ggc variable one may associate a unique thorin measure let g a positive rv and gamma_tg resp gamma_t1g the generalized gamma convolution with thorin measure ttimes the law of g resp the law of 1g in section 2 we compare the laws of gamma_tg and gamma_t1gin section 3 we present some old and some new examples of ggc variables among which the lengths of excursions of bessel processes straddling an independent exponential time | [['in', 'section', '1', 'we', 'present', 'a', 'number', 'of', 'classical', 'results', 'concerning', 'the', 'generalized', 'gamma', 'convolution', 'ggc', 'variables', 'their', 'wienergamma', 'representations', 'and', 'relation', 'with', 'the', 'dirichlet', 'processesto', 'a', 'ggc', 'variable', 'one', 'may', 'associate', 'a', 'unique', 'thorin', 'measure', 'let', 'g', 'a', 'positive', 'rv', 'and', 'gamma_tg', 'resp', 'gamma_t1g', 'the', 'generalized', 'gamma', 'convolution', 'with', 'thorin', 'measure', 'ttimes', 'the', 'law', 'of', 'g', 'resp', 'the', 'law', 'of', '1g', 'in', 'section', '2', 'we', 'compare', 'the', 'laws', 'of', 'gamma_tg', 'and', 'gamma_t1gin', 'section', '3', 'we', 'present', 'some', 'old', 'and', 'some', 'new', 'examples', 'of', 'ggc', 'variables', 'among', 'which', 'the', 'lengths', 'of', 'excursions', 'of', 'bessel', 'processes', 'straddling', 'an', 'independent', 'exponential', 'time']] | [-0.14433517987102581, 0.14088746291372445, -0.12066707081006219, 0.06481204229445818, -0.09271556216602524, -0.1342414552345872, 0.06514947051861479, 0.32533108598242205, -0.3129391222270594, -0.23018065313832872, 0.07086775473059485, -0.31794197474300745, -0.10429523014075433, 0.18706940135840947, -0.08353366989952822, 0.015273725361718485, 0.03130694277448735, 0.10232431043793137, -0.02562977486619881, -0.22432468278566375, 0.33399329584790394, -0.04151284132240107, 0.13833288052895418, -0.016369915814721026, 0.11751766751209895, -0.004274940084239158, -0.1120660132340466, -0.015324491204713317, -0.1933927590822956, 0.1246565369462284, 0.19426367118770335, 0.10724077570489499, 0.25608942968877574, -0.3252180802640699, -0.13551403627207037, 0.20081356703303754, 0.11969425777230451, -0.09648057224330842, 0.00481586631697913, -0.25344638792254653, 0.09464102681765023, -0.17093851110257674, -0.19139513564975155, 0.00019114682800136507, 0.13053772742083916, 0.1132026952994541, -0.28395338556341204, 0.09304330036199342, 0.12261553866846953, 0.050882565570645966, -0.040095999647746794, -0.19792318954326524, 0.023292569094337523, 0.07103401751858958, 0.023847966379738256, 0.025264739930814056, 0.05796013722041001, -0.09708120225695893, -0.12767064964282326, 0.3302462702073778, -0.0765384895033397, -0.17225781727271774, 0.1358087047265144, -0.22971937949963225, -0.1925599753158167, 0.07050387583634195, 0.14973487436266927, 0.12833234356927883, -0.1111742138164118, 0.13066303446976235, -0.07460076660936465, 0.12538201350616873, 0.10626324873495226, 0.006130762310931459, 0.12121872169761143, 0.08067182844873362, 0.05295593475845332, 0.13026647313624076, -0.09407036792254075, -0.011268199009161131, -0.39000969492675114, -0.19964931125286967, -0.12412896714279971, 0.1321105030462301, -0.16392391715332147, -0.15980296428703392, 0.3623133764049271, 0.05040229447877209, 0.22092826945784813, 0.16044170506089964, 0.18908928669407032, 0.14334311001584865, 0.04281548907844505, 0.09488962762308499, 0.08388988825815129, 0.25490526420859777, 0.03184328794789811, -0.14311812768088808, 0.030538518830629375, 0.06909824432902194] |
708.3933 | Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory
at strong coupling | We construct an exact analytical solution to the integral equation which is
believed to describe logarithmic growth of the anomalous dimensions of high
spin operators in planar N=4 super Yang-Mills theory and use it to determine
the strong coupling expansion of the cusp anomalous dimension.
| hep-th hep-ph | we construct an exact analytical solution to the integral equation which is believed to describe logarithmic growth of the anomalous dimensions of high spin operators in planar n4 super yangmills theory and use it to determine the strong coupling expansion of the cusp anomalous dimension | [['we', 'construct', 'an', 'exact', 'analytical', 'solution', 'to', 'the', 'integral', 'equation', 'which', 'is', 'believed', 'to', 'describe', 'logarithmic', 'growth', 'of', 'the', 'anomalous', 'dimensions', 'of', 'high', 'spin', 'operators', 'in', 'planar', 'n4', 'super', 'yangmills', 'theory', 'and', 'use', 'it', 'to', 'determine', 'the', 'strong', 'coupling', 'expansion', 'of', 'the', 'cusp', 'anomalous', 'dimension']] | [-0.1440091188220928, 0.12367520704121691, -0.08218948476844364, 0.12408102861760804, -0.09719500814357565, -0.11968063070542283, -0.0563715016152451, 0.27049467641239366, -0.22978944807416862, -0.24766820213860935, 0.1055665307548932, -0.3062486858831512, -0.2192989491754108, 0.12436653940627972, 0.028072109032008383, 0.054988656441370645, -0.05763668463461929, 0.08566705596943697, -0.08871694925344653, -0.25016335308448306, 0.3156710676124526, -0.004278629355960422, 0.28663048586911627, 0.08998083899625474, 0.1613992566656735, -0.004031150363799599, 0.015049940927161111, -0.022091555098692577, -0.18067862176232868, 0.17135976953431964, 0.22010340347058244, -0.01698072001648446, 0.11483671681748496, -0.456649582957228, -0.16923751419203148, 0.04886604675816165, 0.19566475368208355, 0.1320441311251165, 0.0019850554979509777, -0.19356166729703544, 0.03865453071064419, -0.17772531987478335, -0.3146687581721279, -0.1359380677756336, 0.06934409754143821, -0.08975959208457628, -0.30155786900884574, 0.08399086768428485, 0.02762552785376708, -0.01546447194284863, -0.06239010516761078, -0.017321712916923894, -0.011673879830373659, 0.10578585454107572, 0.05775448180631631, 0.060806385800242425, 0.053094393780661955, -0.2127864082240396, -0.15505354806987776, 0.2856322765039901, -0.10404068564789162, -0.18718591390384567, 0.20493189631443884, -0.2683747595176101, -0.1432858558785584, 0.1422784175723791, 0.1600557212717831, 0.13953855778608057, -0.14885757592403226, 0.1987912575597875, -0.013273144099447463, 0.11378553323447704, 0.10571902472422355, 0.007726526964041922, 0.12671978972438308, 0.0980245013617807, 0.07551751873559422, 0.16120164969729053, -0.00506344141645564, -0.09929262147181564, -0.3347444681243764, -0.18212432220526453, -0.15410429985883337, 0.13340216209698055, -0.1892204091880962, -0.2563740767331587, 0.2994452721335822, 0.13768029374380905, 0.13702129458801615, 0.025874228074422315, 0.2129500551149249, 0.24762700169036786, 0.10230887685385015, 0.07935903944695989, 0.2519886712233225, 0.2263108854026844, 0.05391461487031645, -0.3229988967689375, -0.05972961237033208, 0.19678536503472263] |
708.3934 | Sharp Spectral Asymptotics for Dirac Energy | I derive sharp semiclassical asymptotics of $\int |e_h(x,y,0)|^2\omega(x,y)
dx dy$ where $e_h(x,y,\tau)$ is the Schwartz kernel of the spectral projector
and $\omega(x,y)$ is singular as $x=y$. I also consider asymptotics of more
general expressions.
| math.AP math.SP | i derive sharp semiclassical asymptotics of int e_hxy02omegaxy dx dy where e_hxytau is the schwartz kernel of the spectral projector and omegaxy is singular as xy i also consider asymptotics of more general expressions | [['i', 'derive', 'sharp', 'semiclassical', 'asymptotics', 'of', 'int', 'e_hxy02omegaxy', 'dx', 'dy', 'where', 'e_hxytau', 'is', 'the', 'schwartz', 'kernel', 'of', 'the', 'spectral', 'projector', 'and', 'omegaxy', 'is', 'singular', 'as', 'xy', 'i', 'also', 'consider', 'asymptotics', 'of', 'more', 'general', 'expressions']] | [-0.07684567921058906, 0.035765878585798126, -0.0774535319257167, 0.14181945344523317, -0.06614333607496754, -0.21389422878142325, -0.0735632345275653, 0.3279739748085699, -0.2200866471300082, -0.05557239332026051, 0.06816266044493645, -0.351501461539057, -0.146577249851919, 0.11626861413430062, -0.08501292302483512, 0.05220035631810465, -0.011399600053987196, 0.06430506952587635, -0.14913319021223054, -0.17372713431024983, 0.3601252388569616, -0.01888380154606796, 0.1747027708277587, 0.03195055940699193, 0.034250702769044905, 0.04693944791271802, -0.0014589093925972138, -0.123312127325804, -0.2651899822296635, 0.12147104529844176, 0.23076865037963276, 0.10940566683007825, 0.24045123063748883, -0.4026143367011701, -0.13013192275238614, 0.11598012247873891, 0.1829679935810066, -0.019686820766618176, 0.09928116318535045, -0.257760250400151, 0.03694574727518146, -0.13009388228097268, -0.1511164933232771, -0.11273289351694045, 0.1273422170310251, 0.11225935558397923, -0.379507546222979, 0.10779302710603413, 0.13643393021137004, 0.06064814468845725, -0.040004054189569524, -0.18987144231270517, -0.006223374136513279, 0.017016691065603686, 0.022485568935442114, 0.07183320730203582, -0.004360178125000769, -0.11720374842444735, 0.0032525899549645763, 0.32808210800642207, -0.13441469865821062, -0.20213087606093577, 0.03551920832345082, -0.2411572051895482, -0.1317622698242626, 0.05231520602659833, 0.058053174927350015, 0.22590813893944986, -0.18648269403004838, 0.29048236819817835, -0.029710780018039288, 0.009637068296151777, 0.09116447536695388, 0.12140036172481374, 0.02816475290925272, 0.029332323901114926, 0.08547834655450236, 0.15505448344253725, -0.17446042999865546, -0.08596797389609198, -0.4242989774192533, -0.191223363662439, -0.30067732461517854, 0.16412327228294266, -0.15177646812545362, -0.22391443903888425, 0.33173750437075095, 0.09240476860694828, 0.22596779585846008, 0.08380196784292498, 0.1688640733820296, 0.2660148118194493, -0.09572267192490999, 0.11335449951190141, 0.11493112994057517, 0.16356439948562654, 0.10902434542414642, -0.19073939907755103, -0.011208813141791089, 0.19940684447365423] |
708.3935 | Electron heating in metallic resistors at sub-Kelvin temperature | In the presence of Joule heating, the electronic temperature in a metallic
resistor placed at sub-Kelvin temperatures can significantly exceed the phonon
temperature. Electron cooling proceeds mainly through two processes: electronic
diffusion to and from the connecting wires and electron-phonon coupling. The
goal of this paper is to present a general solution of the problem, in a form
that can easily be used in practical situations. As an application, we compute
two quantities that depend on the electronic temperature profile: the second
and the third cumulant of the current noise at zero frequency, as a function of
the voltage across the resistor. We also consider time dependent heating, an
issue relevant for experiments in which current pulses are used, for instance
in time-resolved calorimetry experiments.
| cond-mat.mes-hall | in the presence of joule heating the electronic temperature in a metallic resistor placed at subkelvin temperatures can significantly exceed the phonon temperature electron cooling proceeds mainly through two processes electronic diffusion to and from the connecting wires and electronphonon coupling the goal of this paper is to present a general solution of the problem in a form that can easily be used in practical situations as an application we compute two quantities that depend on the electronic temperature profile the second and the third cumulant of the current noise at zero frequency as a function of the voltage across the resistor we also consider time dependent heating an issue relevant for experiments in which current pulses are used for instance in timeresolved calorimetry experiments | [['in', 'the', 'presence', 'of', 'joule', 'heating', 'the', 'electronic', 'temperature', 'in', 'a', 'metallic', 'resistor', 'placed', 'at', 'subkelvin', 'temperatures', 'can', 'significantly', 'exceed', 'the', 'phonon', 'temperature', 'electron', 'cooling', 'proceeds', 'mainly', 'through', 'two', 'processes', 'electronic', 'diffusion', 'to', 'and', 'from', 'the', 'connecting', 'wires', 'and', 'electronphonon', 'coupling', 'the', 'goal', 'of', 'this', 'paper', 'is', 'to', 'present', 'a', 'general', 'solution', 'of', 'the', 'problem', 'in', 'a', 'form', 'that', 'can', 'easily', 'be', 'used', 'in', 'practical', 'situations', 'as', 'an', 'application', 'we', 'compute', 'two', 'quantities', 'that', 'depend', 'on', 'the', 'electronic', 'temperature', 'profile', 'the', 'second', 'and', 'the', 'third', 'cumulant', 'of', 'the', 'current', 'noise', 'at', 'zero', 'frequency', 'as', 'a', 'function', 'of', 'the', 'voltage', 'across', 'the', 'resistor', 'we', 'also', 'consider', 'time', 'dependent', 'heating', 'an', 'issue', 'relevant', 'for', 'experiments', 'in', 'which', 'current', 'pulses', 'are', 'used', 'for', 'instance', 'in', 'timeresolved', 'calorimetry', 'experiments']] | [-0.11963941182009875, 0.16512364908517338, -0.042164067318663, 0.00881870281510055, -0.024863004876300693, -0.11181378284096719, 0.07788759233336896, 0.3820160596594214, -0.2815112265050411, -0.26985502465069294, 0.0776311420854181, -0.3021599303074181, -0.08701269468106329, 0.26889079180359843, 0.017044810127466916, 0.02091994141956093, -0.01227543548680842, 0.011208000694867224, -0.0598028702470474, -0.19330791296251118, 0.2961922794282436, 0.07069791978225112, 0.3013418535068631, 0.13824319319427014, 0.07662461766973137, -0.027400899758562445, 0.05767059625685215, 0.0371329593360424, -0.10898413224017713, 0.01580927789118141, 0.2933912926316261, -0.006278975311666727, 0.23809980027377606, -0.4935912679582834, -0.20253263061493634, 0.055822728719562294, 0.12676990205142646, 0.13358902553003282, -0.05204390610475093, -0.19760053869336844, 0.010143777010962368, -0.1465608021505177, -0.08750806659832597, -0.05476917012780905, -0.02118802597373724, 0.030803822554647923, -0.2727939622029662, 0.11098959682299755, 0.03103791058063507, 0.031916583403944966, -0.06642548397183418, -0.078941325600259, 0.006043966583907604, 0.1132478092534002, 0.019024408753262834, 0.014656306270509959, 0.2142065094858408, -0.1168708732444793, -0.08350486467033624, 0.35016094384342433, -0.10610669331997633, -0.15415021659992637, 0.16687811171263456, -0.1473030507261865, -0.09182996324449777, 0.1271476939842105, 0.16952723643928766, 0.12591831627115607, -0.1901538711413741, 0.039790616786573085, 0.029497582402080297, 0.1639786310363561, 0.06510181717574597, 0.0333810178716667, 0.22591245500557125, 0.19493711134418845, 0.05100751991290599, 0.16206582590844482, -0.1032735098619014, -0.03542508609592915, -0.2806838636994362, -0.14999857268854977, -0.2179151540622115, 0.06265246377512812, -0.06982135110313538, -0.1609165046736598, 0.4356806350219995, 0.22789672679826617, 0.19257230474799872, -0.019895669789286332, 0.3304929320514202, 0.1736743258750066, 0.05027034021914005, 0.05499134179670364, 0.2354615680426359, 0.13460893487930298, 0.14595596496760846, -0.28646581681468525, 0.08926259230822325, -0.005050258357077837] |
708.3936 | Working and Assembly Modes of the Agile Eye | This paper deals with the in-depth kinematic analysis of a special spherical
parallel wrist, called the Agile Eye. The Agile Eye is a three-legged spherical
parallel robot with revolute joints in which all pairs of adjacent joint axes
are orthogonal. Its most peculiar feature, demonstrated in this paper for the
first time, is that its (orientation) workspace is unlimited and flawed only by
six singularity curves (rather than surfaces). Furthermore, these curves
correspond to self-motions of the mobile platform. This paper also demonstrates
that, unlike for any other such complex spatial robots, the four solutions to
the direct kinematics of the Agile Eye (assembly modes) have a simple geometric
relationship with the eight solutions to the inverse kinematics (working
modes).
| cs.RO | this paper deals with the indepth kinematic analysis of a special spherical parallel wrist called the agile eye the agile eye is a threelegged spherical parallel robot with revolute joints in which all pairs of adjacent joint axes are orthogonal its most peculiar feature demonstrated in this paper for the first time is that its orientation workspace is unlimited and flawed only by six singularity curves rather than surfaces furthermore these curves correspond to selfmotions of the mobile platform this paper also demonstrates that unlike for any other such complex spatial robots the four solutions to the direct kinematics of the agile eye assembly modes have a simple geometric relationship with the eight solutions to the inverse kinematics working modes | [['this', 'paper', 'deals', 'with', 'the', 'indepth', 'kinematic', 'analysis', 'of', 'a', 'special', 'spherical', 'parallel', 'wrist', 'called', 'the', 'agile', 'eye', 'the', 'agile', 'eye', 'is', 'a', 'threelegged', 'spherical', 'parallel', 'robot', 'with', 'revolute', 'joints', 'in', 'which', 'all', 'pairs', 'of', 'adjacent', 'joint', 'axes', 'are', 'orthogonal', 'its', 'most', 'peculiar', 'feature', 'demonstrated', 'in', 'this', 'paper', 'for', 'the', 'first', 'time', 'is', 'that', 'its', 'orientation', 'workspace', 'is', 'unlimited', 'and', 'flawed', 'only', 'by', 'six', 'singularity', 'curves', 'rather', 'than', 'surfaces', 'furthermore', 'these', 'curves', 'correspond', 'to', 'selfmotions', 'of', 'the', 'mobile', 'platform', 'this', 'paper', 'also', 'demonstrates', 'that', 'unlike', 'for', 'any', 'other', 'such', 'complex', 'spatial', 'robots', 'the', 'four', 'solutions', 'to', 'the', 'direct', 'kinematics', 'of', 'the', 'agile', 'eye', 'assembly', 'modes', 'have', 'a', 'simple', 'geometric', 'relationship', 'with', 'the', 'eight', 'solutions', 'to', 'the', 'inverse', 'kinematics', 'working', 'modes']] | [-0.1647956877791633, 0.06087107944719416, -0.1032907553560411, 0.009295951947569847, -0.160831660098241, -0.15264110759211083, -0.03767201037359579, 0.4417531050896893, -0.21560388065117878, -0.28650290085934105, 0.08636670832735642, -0.2598054961184971, -0.1713448479383563, 0.18836491891803842, -0.08466819804646851, 0.039479398322388684, 0.08885904254081349, 0.021053099803005657, -0.0489536002331685, -0.18949455213538993, 0.310603011927257, 0.024390680567982295, 0.28379997553226227, -0.04642907445959281, 0.12674051307452222, 0.01904809830399851, -0.03911965090082958, 0.0018288313411176204, -0.08512167374586473, 0.16397093065315857, 0.25893999869779993, 0.09793774258869234, 0.2155697812947134, -0.41488151815719904, -0.14424436629439394, 0.0883329266041983, 0.1805495883182933, 0.04295057329509291, -0.023733015897839018, -0.28133195620030166, 0.07852004382293672, -0.1369202853490909, -0.17110210492198044, -0.013106763232523614, 0.03806280832892905, 0.012671194543751577, -0.17551575689576565, 0.01940734033875439, 0.08287871574023788, 0.13717401418058822, -0.07824194564018398, -0.05613762349821627, -0.009795720017670343, 0.13852762586514775, 0.06000850436006052, 0.003720734528421114, 0.11825920261132221, -0.11319418671579722, -0.13680067420161018, 0.3846226105932146, 0.05620015657611172, -0.2236786535164962, 0.23477953811719393, -0.12623350204279024, -0.1267060569060656, 0.1399200064644295, 0.13615483339720716, 0.1314879078961288, -0.18305975690794488, 0.05152489082684042, -0.03942613968004783, 0.13419698065457245, 0.09686326474960273, -0.03811126839136705, 0.2019048638253783, 0.14132116896410782, 0.06384704348359567, 0.11410409197997069, -0.1160460709206139, -0.08018733135346943, -0.2848645490128547, -0.21515841899478497, -0.144015565647472, -0.020913322637594926, -0.09990732327047833, -0.15283758944909398, 0.42732190956982474, 0.09390069817224382, 0.21187814902126167, 0.0667712753097779, 0.3516918292734772, 0.010074037313461303, 0.07713125638353328, 0.0658612519793678, 0.2678267090387332, 0.027541945488580192, 0.10387276495651653, -0.1943519814366785, 0.0449910946850044, 0.020609279382976336] |
708.3937 | A convenient category for directed homotopy | We propose a convenient category for directed homotopy consisting of
preordered topological spaces generated by cubes. Its main advantage is that,
like the category of topological spaces generated by simplices suggested by J.
H. Smith, it is locally presentable.
| math.CT | we propose a convenient category for directed homotopy consisting of preordered topological spaces generated by cubes its main advantage is that like the category of topological spaces generated by simplices suggested by j h smith it is locally presentable | [['we', 'propose', 'a', 'convenient', 'category', 'for', 'directed', 'homotopy', 'consisting', 'of', 'preordered', 'topological', 'spaces', 'generated', 'by', 'cubes', 'its', 'main', 'advantage', 'is', 'that', 'like', 'the', 'category', 'of', 'topological', 'spaces', 'generated', 'by', 'simplices', 'suggested', 'by', 'j', 'h', 'smith', 'it', 'is', 'locally', 'presentable']] | [-0.14256261164943376, 0.15607828420037642, -0.02754127052732003, 0.09230279743981858, -0.13966374404919454, -0.106735847150095, -0.015708650820530377, 0.43176687890902543, -0.3726829424118384, -0.17108466094120955, 0.08016068124188444, -0.20863541253866294, -0.13538272339755145, 0.16152510314415663, -0.18785528014772213, -0.05245547784784904, 0.07027217392355968, 0.011074143533523265, 0.022022313707006667, -0.3041388434954943, 0.516414724672452, -0.048696751395861305, 0.2511603652387865, -0.04583284811665996, 0.12488358576471607, 0.046719152928115085, -0.05442390411805648, 0.11696891219188006, -0.17127178549764302, 0.19477025729914507, 0.3057764296730359, 0.08754431475431491, 0.22647450279850417, -0.3316878099472095, -0.16110527720779944, 0.14575868650363424, 0.07383930401351207, -0.047900909605698705, -0.050544302146404214, -0.39222246050261533, 0.14121139391014972, -0.2230759268769851, -0.04048167086707858, -0.16549928911412373, 0.14386716100554436, -0.004290472835493393, -0.2409001596343632, -0.11468613699962123, 0.11203949467446177, 0.08612501227225249, -0.01244700635269953, -0.05829311322229795, -0.14870610145422128, 0.06908195956538503, -0.10747205954379378, 0.05389522038734494, 0.10424907281039617, -0.019673903687642172, -0.1646494390681768, 0.4069384822371201, -0.07050251879562171, -0.1928993828403644, 0.15612347003741142, -0.09647573390975595, -0.11563978731059112, 0.16161317184854013, -0.05904015889152502, 0.14148416358810395, -0.043841871504600234, 0.22140543318043152, -0.15931874845559016, 0.038762983889916, 0.08194553465224229, 0.017209372566774104, 0.16902990944874594, 0.14718427571157613, 0.09445424449558441, 0.22201667117098203, 0.029997332737996027, -0.024306332940259613, -0.2843691731731479, -0.20694343717052385, -0.21906582623696289, 0.12977413814037275, -0.05901935198702491, -0.19837980029674676, 0.3515384498840341, 0.07886315660121349, 0.1633516258966082, 0.09539889153809501, 0.2509506180977974, -0.025495200011974726, 0.06492954658535428, 0.0858485106474314, 0.09261980504752734, 0.23655662615783513, 0.004437893533553832, -0.0075849244275536295, 0.012480178227027258, 0.2953643743426372] |
708.3938 | On the proximinality of ridge functions | Using two results of Garkavi, Medvedev and Khavinson, we give sufficient
conditions for proximinality of sums of two ridge functions with bounded and
continuous summands in the spaces of bounded and continuous multivariate
functions respectively. In the first case, we give an example which shows that
the corresponding sufficient condition cannot be made weaker for some subsets
of $\mathbb{R}^{n}$. In the second case, we obtain also a necessary condition
for proximinality. All the results are furnished with plenty of examples. The
results, examples and following discussions naturally lead us to a conjecture
on the proximinality of the considered class of ridge functions. The main
purpose of the paper is to draw readers' attention to this conjecture.
| math.CA | using two results of garkavi medvedev and khavinson we give sufficient conditions for proximinality of sums of two ridge functions with bounded and continuous summands in the spaces of bounded and continuous multivariate functions respectively in the first case we give an example which shows that the corresponding sufficient condition cannot be made weaker for some subsets of mathbbrn in the second case we obtain also a necessary condition for proximinality all the results are furnished with plenty of examples the results examples and following discussions naturally lead us to a conjecture on the proximinality of the considered class of ridge functions the main purpose of the paper is to draw readers attention to this conjecture | [['using', 'two', 'results', 'of', 'garkavi', 'medvedev', 'and', 'khavinson', 'we', 'give', 'sufficient', 'conditions', 'for', 'proximinality', 'of', 'sums', 'of', 'two', 'ridge', 'functions', 'with', 'bounded', 'and', 'continuous', 'summands', 'in', 'the', 'spaces', 'of', 'bounded', 'and', 'continuous', 'multivariate', 'functions', 'respectively', 'in', 'the', 'first', 'case', 'we', 'give', 'an', 'example', 'which', 'shows', 'that', 'the', 'corresponding', 'sufficient', 'condition', 'can', 'not', 'be', 'made', 'weaker', 'for', 'some', 'subsets', 'of', 'mathbbrn', 'in', 'the', 'second', 'case', 'we', 'obtain', 'also', 'a', 'necessary', 'condition', 'for', 'proximinality', 'all', 'the', 'results', 'are', 'furnished', 'with', 'plenty', 'of', 'examples', 'the', 'results', 'examples', 'and', 'following', 'discussions', 'naturally', 'lead', 'us', 'to', 'a', 'conjecture', 'on', 'the', 'proximinality', 'of', 'the', 'considered', 'class', 'of', 'ridge', 'functions', 'the', 'main', 'purpose', 'of', 'the', 'paper', 'is', 'to', 'draw', 'readers', 'attention', 'to', 'this', 'conjecture']] | [-0.10389649384687173, 0.05744372921253671, -0.0715822310604412, 0.0792707678749515, -0.07989995515351345, -0.10912564744498453, 0.002676915982537421, 0.37141685240203515, -0.23412321322469104, -0.22150691744775095, 0.13686857607661232, -0.23463874166943774, -0.15606714955306258, 0.2471373904865749, -0.1034661789569233, 0.04086057124819992, 0.052107374894368494, 0.05034754136456819, -0.08758746481556766, -0.31594317113370474, 0.37706484429634596, -0.02735182352299834, 0.21310279397936216, 0.14126967751132002, 0.07923901795433706, -0.02135791882455092, -0.031032903324652077, -0.0034238572979089, -0.18159892886771936, 0.1386146254773284, 0.24117499596142242, 0.14263026857877087, 0.2886946891787751, -0.41329771089206996, -0.13934626256452937, 0.17160689259341372, 0.07689561525857526, 0.06232920333899654, -0.03391619490415404, -0.2772370268839636, 0.11992546080627703, -0.12552681823004166, -0.1543575546158285, -0.08115475292213196, -0.0072094584586387825, 0.05790706501535044, -0.32270145142884477, 0.03404968643560002, 0.1558482452648981, 0.05331375657837709, -0.10288071372257225, -0.12867648614538385, 0.0024434013075420053, 0.11401839557922734, 0.04499779613327299, 0.013041135867062056, 0.002964305827907961, -0.07824517044856952, -0.10553209672296612, 0.35047182585273323, -0.03635099476929914, -0.24929797983375088, 0.18380128499120474, -0.17268366138009225, -0.18507310418925924, 0.0783049394938581, 0.14414253425262546, 0.1327917387564506, -0.10568647611693575, 0.05545004001810569, -0.10885263683980909, 0.10378539862095154, 0.08980983767481841, 0.037902393350217105, 0.1008152629786717, 0.07539601216558367, 0.10565620801283111, 0.20881445325031908, -0.006976945745228822, -0.06370782041029024, -0.39033808677200355, -0.16237559650446579, -0.14632759014734645, 0.04535927034421234, -0.06800121187326771, -0.16269863740508927, 0.39065292874222685, 0.12202168880271372, 0.21934248510234314, 0.11106135344618515, 0.20199445116430007, 0.09352579961253876, 0.014779203952739722, 0.05355101457299215, 0.16583775377411852, 0.183545947909869, 0.061850821242089675, -0.08761790519653506, 0.03848633898325778, 0.07931600128985933] |
708.3939 | Epidemics on random graphs with tunable clustering | In this paper, a branching process approximation for the spread of a
Reed-Frost epidemic on a network with tunable clustering is derived. The
approximation gives rise to expressions for the epidemic threshold and the
probability of a large outbreak in the epidemic. It is investigated how these
quantities varies with the clustering in the graph and it turns out for
instance that, as the clustering increases, the epidemic threshold decreases.
The network is modelled by a random intersection graph, in which individuals
are independently members of a number of groups and two individuals are linked
to each other if and only if they share at least one group.
| math.PR | in this paper a branching process approximation for the spread of a reedfrost epidemic on a network with tunable clustering is derived the approximation gives rise to expressions for the epidemic threshold and the probability of a large outbreak in the epidemic it is investigated how these quantities varies with the clustering in the graph and it turns out for instance that as the clustering increases the epidemic threshold decreases the network is modelled by a random intersection graph in which individuals are independently members of a number of groups and two individuals are linked to each other if and only if they share at least one group | [['in', 'this', 'paper', 'a', 'branching', 'process', 'approximation', 'for', 'the', 'spread', 'of', 'a', 'reedfrost', 'epidemic', 'on', 'a', 'network', 'with', 'tunable', 'clustering', 'is', 'derived', 'the', 'approximation', 'gives', 'rise', 'to', 'expressions', 'for', 'the', 'epidemic', 'threshold', 'and', 'the', 'probability', 'of', 'a', 'large', 'outbreak', 'in', 'the', 'epidemic', 'it', 'is', 'investigated', 'how', 'these', 'quantities', 'varies', 'with', 'the', 'clustering', 'in', 'the', 'graph', 'and', 'it', 'turns', 'out', 'for', 'instance', 'that', 'as', 'the', 'clustering', 'increases', 'the', 'epidemic', 'threshold', 'decreases', 'the', 'network', 'is', 'modelled', 'by', 'a', 'random', 'intersection', 'graph', 'in', 'which', 'individuals', 'are', 'independently', 'members', 'of', 'a', 'number', 'of', 'groups', 'and', 'two', 'individuals', 'are', 'linked', 'to', 'each', 'other', 'if', 'and', 'only', 'if', 'they', 'share', 'at', 'least', 'one', 'group']] | [-0.12287743165453086, 0.12790579241010602, -0.10481224275038888, 0.0953795945631639, -0.035315927333646906, -0.16855240868473495, 0.10353573174237411, 0.37956374224827244, -0.2476958771477695, -0.28394796631160985, 0.11202421254064474, -0.3232224157847533, -0.17834984965156764, 0.1308170830554984, -0.0396020647905836, -0.014185029323454256, 0.06196429769517164, 0.10513248333397011, 0.04695041075508386, -0.2819030854481281, 0.3284879620575036, 0.03821589307928527, 0.25501954400291044, 0.029450881562230212, 0.10463439653351626, 0.011391347890754265, -0.04008181062871935, 0.06383100316506224, -0.11570637727715992, 0.07408680515450046, 0.28761981803647896, 0.1370908669842821, 0.30748677372725475, -0.3356153996557825, -0.20762776651557674, 0.14768912439682969, 0.1780227109686368, 0.1279268161796844, 0.037705828404459345, -0.25312874187646367, 0.1049642028918714, -0.179000765451713, -0.1019706034006689, 0.022179009479091124, 0.05429985913603256, 0.05326443543674907, -0.2709452480301951, 0.03987704387098482, 0.0018226398517274195, 0.025770765780988667, 0.021288728869640856, -0.11015524649000899, -0.06464745900248764, 0.1642993010442566, 0.02877414441442212, 0.009320493265813976, 0.15428394469415285, -0.15249433330286088, -0.08955191407801101, 0.36374772405596795, -0.020353737977091915, -0.18503666765711926, 0.15858519567107712, -0.12728142556820618, -0.15201403384869788, 0.13207046747104162, 0.19423879703713787, 0.06660052415207718, -0.1372919300036436, 0.01002291666076484, -0.05701086293319585, 0.13438100724791488, 0.0642755500006455, -0.029031042660655523, 0.1354225045328753, 0.211958879130651, 0.13667930534790718, 0.0992290876688289, -0.05434701707175312, -0.10622601823760541, -0.26107487658521644, -0.09324216522293648, -0.1817025145067385, 0.04813723913738849, -0.15795943408684926, -0.19781135789041096, 0.4261422903207993, 0.12739095538940834, 0.22894065824113097, 0.10379989553971596, 0.2163644920413693, 0.1285178379696811, 0.04693865412156339, 0.10189552703566195, 0.1778152816825443, 0.1212552025487336, 0.05272359648909144, -0.1741444071866917, 0.16115670655077943, 0.03176829478427492] |
708.394 | The beginning of string theory: a historical sketch | In this note we follow the historical development of the ideas that led to
the formulation of String Theory. We start from the inspired guess of Veneziano
and its extension to the scattering of $N$ scalar particles, then we describe
how the study of its factorization properties allowed to identify the physical
spectrum making the string worldsheet manifest and finally we discuss how the
critical values of the intercept of the Regge trajectory and of the critical
dimension were fixed to 1 and 26.
| physics.hist-ph hep-th | in this note we follow the historical development of the ideas that led to the formulation of string theory we start from the inspired guess of veneziano and its extension to the scattering of n scalar particles then we describe how the study of its factorization properties allowed to identify the physical spectrum making the string worldsheet manifest and finally we discuss how the critical values of the intercept of the regge trajectory and of the critical dimension were fixed to 1 and 26 | [['in', 'this', 'note', 'we', 'follow', 'the', 'historical', 'development', 'of', 'the', 'ideas', 'that', 'led', 'to', 'the', 'formulation', 'of', 'string', 'theory', 'we', 'start', 'from', 'the', 'inspired', 'guess', 'of', 'veneziano', 'and', 'its', 'extension', 'to', 'the', 'scattering', 'of', 'n', 'scalar', 'particles', 'then', 'we', 'describe', 'how', 'the', 'study', 'of', 'its', 'factorization', 'properties', 'allowed', 'to', 'identify', 'the', 'physical', 'spectrum', 'making', 'the', 'string', 'worldsheet', 'manifest', 'and', 'finally', 'we', 'discuss', 'how', 'the', 'critical', 'values', 'of', 'the', 'intercept', 'of', 'the', 'regge', 'trajectory', 'and', 'of', 'the', 'critical', 'dimension', 'were', 'fixed', 'to', '1', 'and', '26']] | [-0.09590169050664242, 0.14092438905278132, -0.1592792231545207, 0.08394920091294418, -0.09003545843630231, -0.10662209394476599, 0.07094107581984385, 0.2945874123168843, -0.26266401376397835, -0.28369239153384807, 0.09235845288744063, -0.29502372908228564, -0.18968395454465367, 0.10716202584583134, -0.053619244784515886, 0.05482285805451933, -0.016530311732952083, 0.0841488016192757, -0.06673969658524063, -0.24470214127185977, 0.3755189728524004, 0.05520109066717504, 0.22501929258717046, 0.07731852939884577, 0.09899411597732632, 0.056563045463657806, -0.06730657107462841, -0.015785220400652007, -0.1717821238871693, 0.15897722669788414, 0.19052893637646257, 0.15876997967660872, 0.184769659272639, -0.435887752466702, -0.15819249701287066, 0.07661472566957984, 0.16060064582242853, 0.11545913405383804, 0.03328402985685638, -0.2279092729967531, 0.10475867343068655, -0.15683234597201504, -0.20987763779703528, -0.05293933743987942, 0.021356793780190248, -0.03345727121424196, -0.205942125492064, -0.0039776458870619535, 0.03176462991784016, 0.01164484477513248, -0.05675818765857479, -0.09060142243868627, 0.011047109623350912, 0.15313994194730185, 0.14457675260269925, 0.032269810689502354, 0.12206753937616235, -0.17027490354043298, -0.11750436984030307, 0.36225350778217297, -0.0313662433964921, -0.14798864642424242, 0.1618911231357959, -0.1631092642921777, -0.1533460431909632, 0.06300314315151245, 0.14803092874076573, 0.10560219090188011, -0.1130603179002979, 0.13858943319757513, -0.013303046403009267, 0.13322848976600826, 0.07169129907630295, 0.03950494120363146, 0.19184628647885152, 0.12481060277094089, -0.010874345693515525, 0.1354792106652721, -0.09551536226423368, -0.13707773599197112, -0.36759464039156836, -0.13366548322318567, -0.12380840600235388, 0.07790263766600262, -0.09947480804528043, -0.16158669427525074, 0.40755024150989594, 0.2384765201159531, 0.2447034335415256, 0.07478536445913571, 0.22860556728916154, 0.11320034702796311, 0.016465420751566335, 0.05417109765611323, 0.24155959276166478, 0.14723624258268891, 0.1258523599799013, -0.2499698637236309, -0.056780155160508695, 0.0823662815881627] |
708.3941 | Reconstruction of nuclear charged fragment trajectories from a large gap
sweeper magnet | A new method to reconstruct charged fragment four-momentum vectors from
measured trajectories behind an open, large gap, magnetic dispersion element (a
sweeper magnet) has been developed. In addition to the position and angle
behind the magnet it includes the position measurement in the dispersive
direction at the target. The method improves the energy and angle resolution of
the reconstruction significantly for experiments with fast rare isotopes, where
the beam size at the target position is large.
| nucl-ex | a new method to reconstruct charged fragment fourmomentum vectors from measured trajectories behind an open large gap magnetic dispersion element a sweeper magnet has been developed in addition to the position and angle behind the magnet it includes the position measurement in the dispersive direction at the target the method improves the energy and angle resolution of the reconstruction significantly for experiments with fast rare isotopes where the beam size at the target position is large | [['a', 'new', 'method', 'to', 'reconstruct', 'charged', 'fragment', 'fourmomentum', 'vectors', 'from', 'measured', 'trajectories', 'behind', 'an', 'open', 'large', 'gap', 'magnetic', 'dispersion', 'element', 'a', 'sweeper', 'magnet', 'has', 'been', 'developed', 'in', 'addition', 'to', 'the', 'position', 'and', 'angle', 'behind', 'the', 'magnet', 'it', 'includes', 'the', 'position', 'measurement', 'in', 'the', 'dispersive', 'direction', 'at', 'the', 'target', 'the', 'method', 'improves', 'the', 'energy', 'and', 'angle', 'resolution', 'of', 'the', 'reconstruction', 'significantly', 'for', 'experiments', 'with', 'fast', 'rare', 'isotopes', 'where', 'the', 'beam', 'size', 'at', 'the', 'target', 'position', 'is', 'large']] | [-0.07618716754644227, 0.14182950921167503, -0.05639699898586657, 0.03508973362285791, -0.04155367503163258, -0.13227361750154829, 0.019360194987568417, 0.40204993473660006, -0.3026067450103399, -0.3269897771411036, 0.019538553538854773, -0.29905390852179964, 0.017556145346086276, 0.19422237704336448, -0.013895246463729754, 0.06850814347547528, 0.07884241929767948, 0.051767173492790836, -0.08826577771105804, -0.09801082016508046, 0.26139606890501454, 0.14993157350507222, 0.30651917681097984, 0.05454863147736576, 0.16308766202756056, 0.045587486553765634, 0.009719700687319824, 0.017150853509328476, -0.0984491310082376, 0.060656308931739705, 0.20341402628017882, 0.0737349827571674, 0.1959289130509684, -0.367408664333389, -0.12639494165533074, 0.03433143921000393, 0.13034320389851928, 0.14198141375948725, -0.09439634887722174, -0.2982405324276586, 0.040934980172958026, -0.10893405086091279, -0.21128215314207696, -0.024641631312031103, 0.015617095353694535, 0.028391751785468506, -0.2403979976845317, 0.03667771443724632, 0.0022634899666483855, 0.03968934648621239, -0.0375747366465236, -0.15365532328570752, 0.03233919122354373, 0.11454022507869492, 0.06798018544520203, 0.11643133132326368, 0.1528356870342242, -0.11217440327470142, -0.045632500176955214, 0.3426576872405253, -0.019967955828178674, -0.2092735933777141, 0.12824052566735955, -0.24258187457330918, -0.08353873111283112, 0.229952572967465, 0.19864974270182612, 0.12436627151787673, -0.146445184786755, 0.06437963011251811, -0.032864604892797376, 0.21213214065554845, 0.0799798049725053, 0.0033446929147957186, 0.20443725757496922, 0.20811488643429535, 0.06434477087551434, 0.10307343219602971, -0.2458675350231045, -0.053404383630932944, -0.2809684560634196, -0.16739810960318305, -0.18431746351875758, -0.040465601352288535, -0.03766998464178821, -0.11367891879643521, 0.41180285752603885, 0.12412989740014861, 0.20417088854714835, -0.021698978766308802, 0.3341485301620866, 0.055449693292183314, 0.12623660987561666, 0.06614930277665783, 0.28148174687827887, 0.1396541087275469, 0.1476004513939475, -0.26787678296003786, 0.08566236826223567, 0.04011961391293689] |
708.3942 | On the modularity of supersingular elliptic curves over certain totally
real number fields | We study generalisations to totally real fields of methods originating with
Wiles and Taylor-Wiles. In view of the results of Skinner-Wiles on elliptic
curves with ordinary reduction, we focus here on the case of supersingular
reduction. Combining these, we then obtain some partial results on the
modularity problem for semistable elliptic curves, and end by giving some
applications of our results, for example proving the modularity of all
semistable elliptic curves over $\mathbb{Q}(\sqrt{2})$.
| math.NT | we study generalisations to totally real fields of methods originating with wiles and taylorwiles in view of the results of skinnerwiles on elliptic curves with ordinary reduction we focus here on the case of supersingular reduction combining these we then obtain some partial results on the modularity problem for semistable elliptic curves and end by giving some applications of our results for example proving the modularity of all semistable elliptic curves over mathbbqsqrt2 | [['we', 'study', 'generalisations', 'to', 'totally', 'real', 'fields', 'of', 'methods', 'originating', 'with', 'wiles', 'and', 'taylorwiles', 'in', 'view', 'of', 'the', 'results', 'of', 'skinnerwiles', 'on', 'elliptic', 'curves', 'with', 'ordinary', 'reduction', 'we', 'focus', 'here', 'on', 'the', 'case', 'of', 'supersingular', 'reduction', 'combining', 'these', 'we', 'then', 'obtain', 'some', 'partial', 'results', 'on', 'the', 'modularity', 'problem', 'for', 'semistable', 'elliptic', 'curves', 'and', 'end', 'by', 'giving', 'some', 'applications', 'of', 'our', 'results', 'for', 'example', 'proving', 'the', 'modularity', 'of', 'all', 'semistable', 'elliptic', 'curves', 'over', 'mathbbqsqrt2']] | [-0.1472508168856924, 0.009634479369399034, -0.14248755305177635, 0.0397500392411732, -0.09668116643378097, -0.09694234606447732, 0.008473062085815601, 0.31386020108281326, -0.2737199591162304, -0.2719106302182708, 0.1391628658732063, -0.297673006542027, -0.1814833703877715, 0.3485388417676505, -0.15831963411377123, 0.06408369650469264, 0.07343392238383079, 0.03414377316625582, -0.09214933041302073, -0.38534560363041237, 0.43932665123914677, -0.09422291477676481, 0.2084835283910959, 0.08792850767107059, 0.07110705871471307, 0.08782778354361653, -0.05242146776678661, -0.0006178667147954305, -0.1546704132827775, 0.21256815067641177, 0.3107620599783129, 0.06417354240935917, 0.1811799407393361, -0.37890432139910346, -0.19167228291432062, 0.1845769587768397, 0.09241477061166531, 0.06357846207295854, -0.05698841645143046, -0.22503605267330487, 0.12257949516384138, -0.10585388546961541, -0.1925194181773501, -0.1164933166550731, -0.02288200550376334, 0.08118709883355121, -0.2042852107099154, 0.016827580583695736, 0.1020099354160872, 0.1780281434314222, -0.10488088311912078, -0.156343618951117, -0.01570953573941046, 0.0014183925102568334, 0.07616135893881114, -0.0327491553066971, 0.023316018535600353, -0.15643976386895198, -0.15451693651913148, 0.3407254457124509, -0.08597705575327079, -0.17721785315208965, 0.14952575666635917, -0.09737627058186465, -0.1642658703494817, 0.1273309044061332, 0.1815394961708484, 0.16448536859307852, 0.0023780701061089835, 0.10272198668260696, -0.08804667719070697, 0.0722170346416533, 0.09426816854263759, -0.05131482542492449, 0.0915748260061567, 0.09268816076736483, 0.0553128004927809, 0.13861856532781125, -0.044406582429979205, -0.07862400437524128, -0.3378224266279075, -0.19317032526143724, -0.06290090575768975, 0.10903779555681264, -0.10298356471240469, -0.14526548372426382, 0.45592871616180575, 0.11539775271537817, 0.22359369722026814, 0.12392749928403646, 0.23317357370009026, 0.1142782469671349, -0.005234996662087117, 0.01701337807915277, 0.17522843996104914, 0.17577961910218518, 0.029291007756708294, -0.1554521301230933, -0.026624945251064167, 0.12909111048146668] |
708.3943 | Scaled frequency-dependent transport in the mesoscopically
phase-separated colossal magnetoresistive manganite
La_{0.625-y}Pr_yCa_{0.375}MnO_3 | We address the issue of massive phase separation (PS) in manganite family of
doped Mott insulators through ac conductivity measurements on
La$_{0.625-y}$Pr$_{y}$Ca$_{0.375}$MnO$_{3}$ (0.375 $\leq$ y $\leq$ 0.275), and
establish applicability of the scaling theory of percolation in the critical
regime of the PS. Measurements of dc resistivity, magnetization (M(T)) and
electron diffraction show incomplete growth of a ferromagnetic (FM) metallic
component on cooling the high temperature charge ordered (CO) phase well below
Curie temperature. The impedance $\mid$Z(T,f)$\mid$ measured over a frequency
(f) range of 10 Hz to 10 MHz in the critical regime follows a universal scaling
of the form $\approx$ R(T,0)g(f$\xi^{2+\theta}$) with $\theta$ $\approx$ 0.86
and the normalized correlation length varying from 1 to 4, suggesting anomalous
diffusion of holes in percolating FM clusters.
| cond-mat.str-el | we address the issue of massive phase separation ps in manganite family of doped mott insulators through ac conductivity measurements on la_0625ypr_yca_0375mno_3 0375 leq y leq 0275 and establish applicability of the scaling theory of percolation in the critical regime of the ps measurements of dc resistivity magnetization mt and electron diffraction show incomplete growth of a ferromagnetic fm metallic component on cooling the high temperature charge ordered co phase well below curie temperature the impedance midztfmid measured over a frequency f range of 10 hz to 10 mhz in the critical regime follows a universal scaling of the form approx rt0gfxi2theta with theta approx 086 and the normalized correlation length varying from 1 to 4 suggesting anomalous diffusion of holes in percolating fm clusters | [['we', 'address', 'the', 'issue', 'of', 'massive', 'phase', 'separation', 'ps', 'in', 'manganite', 'family', 'of', 'doped', 'mott', 'insulators', 'through', 'ac', 'conductivity', 'measurements', 'on', 'la_0625ypr_yca_0375mno_3', '0375', 'leq', 'y', 'leq', '0275', 'and', 'establish', 'applicability', 'of', 'the', 'scaling', 'theory', 'of', 'percolation', 'in', 'the', 'critical', 'regime', 'of', 'the', 'ps', 'measurements', 'of', 'dc', 'resistivity', 'magnetization', 'mt', 'and', 'electron', 'diffraction', 'show', 'incomplete', 'growth', 'of', 'a', 'ferromagnetic', 'fm', 'metallic', 'component', 'on', 'cooling', 'the', 'high', 'temperature', 'charge', 'ordered', 'co', 'phase', 'well', 'below', 'curie', 'temperature', 'the', 'impedance', 'midztfmid', 'measured', 'over', 'a', 'frequency', 'f', 'range', 'of', '10', 'hz', 'to', '10', 'mhz', 'in', 'the', 'critical', 'regime', 'follows', 'a', 'universal', 'scaling', 'of', 'the', 'form', 'approx', 'rt0gfxi2theta', 'with', 'theta', 'approx', '086', 'and', 'the', 'normalized', 'correlation', 'length', 'varying', 'from', '1', 'to', '4', 'suggesting', 'anomalous', 'diffusion', 'of', 'holes', 'in', 'percolating', 'fm', 'clusters']] | [-0.1748732086881751, 0.24646673325953058, 0.02516112737662968, -0.017633023780587388, 0.01482835229196143, -0.14560842154486503, 0.14505394811066416, 0.36497147654213746, -0.2525322707827951, -0.29409598727466263, 0.03863768813834377, -0.35877031377196067, -0.0401372492168343, 0.19800732030769902, 0.05061286506930091, 0.027515083476798475, -0.10743563190736181, -0.018321990768318294, -0.14875784459462787, -0.1710894507829283, 0.23580313391876637, -0.01896291426153945, 0.31728049853079965, 0.10119015318875918, 0.06386878208990102, -0.010469379105087996, 0.11515688992364974, 0.018744721466705937, -0.2185136198646343, -0.030808219550173637, 0.25923728779317107, -0.07767619415506964, 0.17407074942803163, -0.3245539363229372, -0.19337418066436943, 0.0015278177232802158, 0.15777953031480496, 0.014220293305936407, -0.01282237972262636, -0.2250115664668198, 0.09250586954724105, -0.1405333201897132, -0.12913889990982097, -0.01939742445380839, 0.026874074651325335, 0.004704319110968471, -0.28920525294102606, 0.20245150434708253, 0.08080497893340671, 0.1374555132275478, -0.089417639122627, -0.16050919662916757, -0.028745680392841946, 0.03087459657661861, 0.023799866621122986, 0.10794745174954172, 0.19371145941149137, -0.0895904327063348, -0.05128742452113523, 0.2842342777985919, -0.06477241492906555, -0.007497380441818081, 0.12782881579163377, -0.2967146605741782, -0.0791735561587466, 0.18158148798603016, 0.12714387391518314, 0.08953116426137506, -0.10766985768845427, 0.08444507998179598, 0.03276500846908168, 0.273443162924091, 0.0947903878605146, 0.03737047371706452, 0.23910110264818077, 0.2230234660855189, 0.0224259163703403, 0.11665641114408662, -0.1555620227963282, -0.018437215769243596, -0.20721717385697316, -0.12161423507448071, -0.21939679461180187, 0.14448377799975579, -0.1856779446993567, -0.1601262620238007, 0.33603958008986456, 0.1598193385775705, 0.20826786798119667, 0.020998425650998156, 0.22253827512284888, 0.08699656952769862, 0.04387133805172854, 0.04309696514831215, 0.2172624252423583, 0.2275301757675107, 0.16960660042145792, -0.2672245868035119, 0.027022272716734377, -0.003458174874006053] |
708.3944 | Single \pi^- production in np collisions for excess energies up to 90
MeV | The quasifree reaction $np\to pp\pim$ was studied in a kinematically complete
experiment by bombarding a liquid hydrogen target with a deuteron beam of
momentum 1.85 GeV/c and analyzing the data along the lines of the spectator
model. In addition to the three charged ejectiles the spectator proton was also
detected in the large-acceptance time-of-flight spectrometer COSY-TOF. It was
identified by its momentum and flight direction thus yielding access to the
Fermi motion of the bound neutron and to the effective neutron 4-momentum
vector $\mathbb{P}_n$ which differed from event to event. A range of almost 90
MeV excess energy above threshold was covered. Energy dependent angular
distributions, invariant mass spectra as well as fully covered Dalitz plots
were deduced. Sizeable $pp$ FSI effects were found as were contributions of $p$
and $d$ partial waves. The behavior of the elementary cross section
$\sigma_{01}$ close to threshold is discussed in view of new cross section
data. In comparison with existing literature data the results provide a
sensitive test of the spectator model.
| nucl-ex | the quasifree reaction npto pppim was studied in a kinematically complete experiment by bombarding a liquid hydrogen target with a deuteron beam of momentum 185 gevc and analyzing the data along the lines of the spectator model in addition to the three charged ejectiles the spectator proton was also detected in the largeacceptance timeofflight spectrometer cosytof it was identified by its momentum and flight direction thus yielding access to the fermi motion of the bound neutron and to the effective neutron 4momentum vector mathbbp_n which differed from event to event a range of almost 90 mev excess energy above threshold was covered energy dependent angular distributions invariant mass spectra as well as fully covered dalitz plots were deduced sizeable pp fsi effects were found as were contributions of p and d partial waves the behavior of the elementary cross section sigma_01 close to threshold is discussed in view of new cross section data in comparison with existing literature data the results provide a sensitive test of the spectator model | [['the', 'quasifree', 'reaction', 'npto', 'pppim', 'was', 'studied', 'in', 'a', 'kinematically', 'complete', 'experiment', 'by', 'bombarding', 'a', 'liquid', 'hydrogen', 'target', 'with', 'a', 'deuteron', 'beam', 'of', 'momentum', '185', 'gevc', 'and', 'analyzing', 'the', 'data', 'along', 'the', 'lines', 'of', 'the', 'spectator', 'model', 'in', 'addition', 'to', 'the', 'three', 'charged', 'ejectiles', 'the', 'spectator', 'proton', 'was', 'also', 'detected', 'in', 'the', 'largeacceptance', 'timeofflight', 'spectrometer', 'cosytof', 'it', 'was', 'identified', 'by', 'its', 'momentum', 'and', 'flight', 'direction', 'thus', 'yielding', 'access', 'to', 'the', 'fermi', 'motion', 'of', 'the', 'bound', 'neutron', 'and', 'to', 'the', 'effective', 'neutron', '4momentum', 'vector', 'mathbbp_n', 'which', 'differed', 'from', 'event', 'to', 'event', 'a', 'range', 'of', 'almost', '90', 'mev', 'excess', 'energy', 'above', 'threshold', 'was', 'covered', 'energy', 'dependent', 'angular', 'distributions', 'invariant', 'mass', 'spectra', 'as', 'well', 'as', 'fully', 'covered', 'dalitz', 'plots', 'were', 'deduced', 'sizeable', 'pp', 'fsi', 'effects', 'were', 'found', 'as', 'were', 'contributions', 'of', 'p', 'and', 'd', 'partial', 'waves', 'the', 'behavior', 'of', 'the', 'elementary', 'cross', 'section', 'sigma_01', 'close', 'to', 'threshold', 'is', 'discussed', 'in', 'view', 'of', 'new', 'cross', 'section', 'data', 'in', 'comparison', 'with', 'existing', 'literature', 'data', 'the', 'results', 'provide', 'a', 'sensitive', 'test', 'of', 'the', 'spectator', 'model']] | [-0.06219965421145649, 0.2121366790157654, -0.09430250121502988, 0.11720184832769778, -0.03756984266389433, -0.1022484544106798, 0.0369185326036088, 0.34655171297241133, -0.19140488273807846, -0.35007208511455074, -0.027349761019909886, -0.3565381225641994, 0.04080493795481743, 0.16881047047319866, 0.046019773880418925, 0.10199955962231061, 0.08723614842719621, 0.04180513596085283, -0.04369595604726956, -0.18008885012213363, 0.2925744484971455, 0.1290354683684806, 0.2519480217886753, 0.12192022111377723, 0.08704129077696485, 0.05913338257683097, -0.06630698886666712, -0.0217642891387056, -0.13380382127037851, 0.025575096721738754, 0.28158787372688365, 0.05879600901555802, 0.09274162183560077, -0.34535162757605403, -0.1539883708586179, 0.050069734847749625, 0.13933580435834647, 0.06415975538887626, -0.0390724638460337, -0.30639266881293487, 0.04727122954638963, -0.20245809617335908, -0.14830736049805723, -0.03573056558767954, 0.0467078394514309, 0.029630325242448765, -0.24370527229205305, 0.0867160815625019, 0.008595855704957753, 0.06138465660651924, -0.09693192580921493, -0.2012734891336766, -0.060855267203546, 0.028641072082142012, 0.09088721136850793, 0.09385045130208407, 0.18749252411015777, -0.08297942128098969, -0.09703978648065545, 0.35624943155839683, -0.039089926430495414, -0.14509162344759152, 0.10125197070495535, -0.21555461968472672, -0.08138093221627753, 0.24132845854009724, 0.17570340328356474, 0.11054780261769165, -0.22689603562355928, 0.06096432032756552, -0.029682787232256185, 0.16149634689403078, 0.13147378338700427, -0.011960090676438995, 0.14773796045587265, 0.16603630756227566, -0.020134570631073854, 0.09270578112756041, -0.19260649913589337, -0.0782013605204979, -0.33177181414794177, -0.10652892463015935, -0.1048223229757111, 0.04086559149159473, 0.00016254489396704317, -0.07635775316850327, 0.35190759972309543, 0.03068099413593743, 0.24935206008896266, -0.034568033385550645, 0.2931713414422813, 0.07370091848133598, 0.0721659661392637, 0.036997329601685384, 0.3120521651553212, 0.17506319414297605, 0.16193021387637904, -0.1952169522701297, 0.05501529423054308, -0.014826690965232306] |
708.3945 | Modification of the turbulent energy cascade by polymer additives | By tracking small particles in the bulk of an intensely turbulent flow, we
show that even a very small concentration of long-chain polymers disrupts the
usual turbulent energy cascade. The polymers affect scales much larger than
their physical size, from the dissipation range to the inertial range. The
effect depends strongly on the polymer concentration. While the
dissipative-scale statistics change continuously as the polymer concentration
is increased, the inertial-range energy transfer rate is only altered by the
polymer additives when the concentration is above a threshold (approximately 5
parts per million by weight for the polymer we used).
| physics.flu-dyn | by tracking small particles in the bulk of an intensely turbulent flow we show that even a very small concentration of longchain polymers disrupts the usual turbulent energy cascade the polymers affect scales much larger than their physical size from the dissipation range to the inertial range the effect depends strongly on the polymer concentration while the dissipativescale statistics change continuously as the polymer concentration is increased the inertialrange energy transfer rate is only altered by the polymer additives when the concentration is above a threshold approximately 5 parts per million by weight for the polymer we used | [['by', 'tracking', 'small', 'particles', 'in', 'the', 'bulk', 'of', 'an', 'intensely', 'turbulent', 'flow', 'we', 'show', 'that', 'even', 'a', 'very', 'small', 'concentration', 'of', 'longchain', 'polymers', 'disrupts', 'the', 'usual', 'turbulent', 'energy', 'cascade', 'the', 'polymers', 'affect', 'scales', 'much', 'larger', 'than', 'their', 'physical', 'size', 'from', 'the', 'dissipation', 'range', 'to', 'the', 'inertial', 'range', 'the', 'effect', 'depends', 'strongly', 'on', 'the', 'polymer', 'concentration', 'while', 'the', 'dissipativescale', 'statistics', 'change', 'continuously', 'as', 'the', 'polymer', 'concentration', 'is', 'increased', 'the', 'inertialrange', 'energy', 'transfer', 'rate', 'is', 'only', 'altered', 'by', 'the', 'polymer', 'additives', 'when', 'the', 'concentration', 'is', 'above', 'a', 'threshold', 'approximately', '5', 'parts', 'per', 'million', 'by', 'weight', 'for', 'the', 'polymer', 'we', 'used']] | [-0.10898449012743232, 0.2865696354955495, -0.014710043875030098, 0.03171157474826407, 0.017650024264513217, -0.10556235332906093, -0.01124717711864673, 0.32492898410358995, -0.3131115183944708, -0.32618926475112586, 0.05787475889467049, -0.2600167128113435, -0.06614088623774882, 0.1857913941356171, -0.019032945558812814, 0.02725452714666878, 0.02489725445137964, 0.04454675881364911, -0.018861140623765506, -0.18041586568675091, 0.24722487851257255, 0.14634589736647519, 0.30157289759630396, 0.09356068782316349, 0.07193468176020482, -0.009738197449364305, 0.03934076040522339, 0.06452837997937057, -0.2018593354082394, 0.07667906038083866, 0.16743336302785145, -0.017281462251179918, 0.29582599875008325, -0.4232535015446009, -0.2817734262435553, 0.09956717018287667, 0.1682669332337364, 0.11152670058642619, -0.03435186348188208, -0.19185621074650475, 0.1026852124169008, -0.16616071042839975, -0.08723642055386889, 0.031655434172206856, 0.06574004423833385, 0.07717673612948142, -0.21845190830951192, 0.17844653595238924, 0.04788015891327379, 0.0456970439858965, -0.05211990084211083, -0.1167536569259984, -0.0759037907893011, 0.12514952726130488, 0.08607359193313445, -0.021901805052226504, 0.3377163978293538, -0.18543175894997477, 0.053672014265177176, 0.3649852162169427, -0.051380916693777125, -0.187721598528556, 0.22321133962688372, -0.16875903289669106, -0.04503092526448602, 0.25151497230759445, 0.14687632962571667, 0.13263460722531087, -0.09604444129937977, 0.015122605792544399, -0.028501368588623927, 0.258972975310207, 0.08182923837574486, 0.012976757177516588, 0.18557690281766592, 0.20735817124404626, 0.06997886243439519, 0.1539140414139352, -0.10061971114266702, -0.09793382976204157, -0.21992123679056302, -0.16431200184100836, -0.23231330964373445, 0.07607605759853728, -0.1502163751703716, -0.12809523844073728, 0.35833348787015246, 0.12118982942294829, 0.21700648548676796, 0.06698292937398571, 0.24037752456041342, 0.08181902794911497, 0.1051750869283779, 0.07049629678853701, 0.28684817189734774, 0.11060494335953952, 0.16875348779488086, -0.2465551477021624, 0.11840164438808173, 0.030691332723849368] |
708.3946 | Integrable Hierarchies and Information Measures | In this paper we investigate integrable models from the perspective of
information theory, exhibiting various connections. We begin by showing that
compressible hydrodynamics for a one-dimesional isentropic fluid, with an
appropriately motivated information theoretic extension, is described by a
general nonlinear Schrodinger (NLS) equation. Depending on the choice of the
enthalpy function, one obtains the cubic NLS or other modified NLS equations
that have applications in various fields. Next, by considering the integrable
hierarchy associated with the NLS model, we propose higher order information
measures which include the Fisher measure as their first member. The lowest
members of the hiearchy are shown to be included in the expansion of a
regularized Kullback-Leibler measure while, on the other hand, a suitable
combination of the NLS hierarchy leads to a Wootters type measure related to a
NLS equation with a relativistic dispersion relation. Finally, through our
approach, we are led to construct an integrable semi-relativistic NLS equation.
| nlin.SI hep-th nlin.PS quant-ph | in this paper we investigate integrable models from the perspective of information theory exhibiting various connections we begin by showing that compressible hydrodynamics for a onedimesional isentropic fluid with an appropriately motivated information theoretic extension is described by a general nonlinear schrodinger nls equation depending on the choice of the enthalpy function one obtains the cubic nls or other modified nls equations that have applications in various fields next by considering the integrable hierarchy associated with the nls model we propose higher order information measures which include the fisher measure as their first member the lowest members of the hiearchy are shown to be included in the expansion of a regularized kullbackleibler measure while on the other hand a suitable combination of the nls hierarchy leads to a wootters type measure related to a nls equation with a relativistic dispersion relation finally through our approach we are led to construct an integrable semirelativistic nls equation | [['in', 'this', 'paper', 'we', 'investigate', 'integrable', 'models', 'from', 'the', 'perspective', 'of', 'information', 'theory', 'exhibiting', 'various', 'connections', 'we', 'begin', 'by', 'showing', 'that', 'compressible', 'hydrodynamics', 'for', 'a', 'onedimesional', 'isentropic', 'fluid', 'with', 'an', 'appropriately', 'motivated', 'information', 'theoretic', 'extension', 'is', 'described', 'by', 'a', 'general', 'nonlinear', 'schrodinger', 'nls', 'equation', 'depending', 'on', 'the', 'choice', 'of', 'the', 'enthalpy', 'function', 'one', 'obtains', 'the', 'cubic', 'nls', 'or', 'other', 'modified', 'nls', 'equations', 'that', 'have', 'applications', 'in', 'various', 'fields', 'next', 'by', 'considering', 'the', 'integrable', 'hierarchy', 'associated', 'with', 'the', 'nls', 'model', 'we', 'propose', 'higher', 'order', 'information', 'measures', 'which', 'include', 'the', 'fisher', 'measure', 'as', 'their', 'first', 'member', 'the', 'lowest', 'members', 'of', 'the', 'hiearchy', 'are', 'shown', 'to', 'be', 'included', 'in', 'the', 'expansion', 'of', 'a', 'regularized', 'kullbackleibler', 'measure', 'while', 'on', 'the', 'other', 'hand', 'a', 'suitable', 'combination', 'of', 'the', 'nls', 'hierarchy', 'leads', 'to', 'a', 'wootters', 'type', 'measure', 'related', 'to', 'a', 'nls', 'equation', 'with', 'a', 'relativistic', 'dispersion', 'relation', 'finally', 'through', 'our', 'approach', 'we', 'are', 'led', 'to', 'construct', 'an', 'integrable', 'semirelativistic', 'nls', 'equation']] | [-0.10447161228718957, 0.06374648078363539, -0.1013117624146323, 0.10541037937415944, -0.10730798892797001, -0.17539618716785504, -0.025650133831696884, 0.2902636403773701, -0.2842867164782459, -0.24707065189798033, 0.11437988789797189, -0.31597285436526423, -0.18095246257050143, 0.17615501370521322, -0.01998914475702951, 0.06964733006766877, 0.03895929599961927, 0.055138418369836385, -0.10792397114658547, -0.2481047300802123, 0.38463848124168093, 0.007950390734138989, 0.24089196209585476, -0.002757523428214969, 0.1337240550832282, -0.02276434077310466, -0.029188226511882197, 0.005380447401154426, -0.1777709207352018, 0.12297743682058589, 0.1872619129799263, 0.0706190679703028, 0.2874922751479091, -0.39536102036194454, -0.2709697305675476, 0.08494249113324669, 0.1319587075692271, 0.14099993742476669, -0.03453205311145153, -0.3142262733030704, 0.016852310107600306, -0.16935733626446417, -0.1889109944740701, -0.07267152193573213, -0.029642901830976048, 0.06899595319616399, -0.2343187656013235, 0.13807957531704057, 0.06511503335223684, 0.0017233485746527871, -0.10164616046653639, -0.0801666785572325, -0.043828559450564845, 0.02600123041249331, 0.014519116020340833, 0.025791304918276445, 0.02283687286619698, -0.14808430381705084, -0.10643499845548743, 0.4136421332075711, -0.1093113443374844, -0.27507212116352975, 0.1513695389813473, -0.09486664255720473, -0.1182148900754269, 0.07612134390210192, 0.15947915226100914, 0.09309178714850737, -0.1648609351847441, 0.11093063731231885, -0.04354264228416967, 0.15793697101124113, 0.0662350291716716, 0.02292444251304973, 0.16259155736394948, 0.15135638239162583, 0.05306909341635483, 0.13560301200636932, -0.008847657182899815, -0.1568426614897626, -0.2928144784103478, -0.13951073979898806, -0.16117681727534341, 0.08033203494644935, -0.10248998874017308, -0.15651977997810218, 0.39208744840035514, 0.14610615060814927, 0.15682737036578118, 0.051445713174349116, 0.21927905515316995, 0.20653664904436278, 0.02334794161555868, 0.05222596061686354, 0.22465873734665012, 0.16934370796887144, 0.09354795765342011, -0.21738488999976507, -0.019727508462364634, 0.1440256216953839] |
708.3947 | Optimality and uniqueness of the (4,10,1/6) spherical code | Linear programming bounds provide an elegant method to prove optimality and
uniqueness of an (n,N,t) spherical code. However, this method does not apply to
the parameters (4,10,1/6). We use semidefinite programming bounds instead to
show that the Petersen code, which consists of the midpoints of the edges of
the regular simplex in dimension 4, is the unique (4,10,1/6) spherical code.
| math.MG | linear programming bounds provide an elegant method to prove optimality and uniqueness of an nnt spherical code however this method does not apply to the parameters 41016 we use semidefinite programming bounds instead to show that the petersen code which consists of the midpoints of the edges of the regular simplex in dimension 4 is the unique 41016 spherical code | [['linear', 'programming', 'bounds', 'provide', 'an', 'elegant', 'method', 'to', 'prove', 'optimality', 'and', 'uniqueness', 'of', 'an', 'nnt', 'spherical', 'code', 'however', 'this', 'method', 'does', 'not', 'apply', 'to', 'the', 'parameters', '41016', 'we', 'use', 'semidefinite', 'programming', 'bounds', 'instead', 'to', 'show', 'that', 'the', 'petersen', 'code', 'which', 'consists', 'of', 'the', 'midpoints', 'of', 'the', 'edges', 'of', 'the', 'regular', 'simplex', 'in', 'dimension', '4', 'is', 'the', 'unique', '41016', 'spherical', 'code']] | [-0.08553604161816425, -0.015228332947148813, -0.09582068170581398, 0.07559908659936025, -0.12202771540313702, -0.1710094321390678, 0.016805912986205054, 0.32145488907679404, -0.30657796701416373, -0.2768648646366461, 0.1349288400971122, -0.22576032188753115, -0.15275698980509206, 0.17577461481238876, -0.09772741659905697, 0.056296940844762944, 0.07905784234854168, 0.01516543035365336, -0.1352537888672267, -0.2983789027463805, 0.2981266062706709, 0.041693890419114255, 0.20717608421069472, 0.09101719273543306, 0.09489262455688982, 0.015009011790268766, 0.015721777991937667, 0.001611427173162971, -0.1825340104753258, 0.12783972262244286, 0.25060737041901027, 0.24322887856898637, 0.2537994898919915, -0.41842138584189376, -0.12513741266367764, 0.09273561970170202, 0.12962957644224937, 0.12144174683108476, -0.016414764156597185, -0.19030689522784588, 0.10679878259141898, -0.10375350673586645, -0.16606727709736804, -0.06425356877775028, 0.004226875138180009, -0.015505302819856924, -0.31272146183644134, -0.006315769932778745, 0.15169140805715117, 0.047203643199313305, -0.039137307971972846, -0.15444953943570627, -0.032878297927050756, 0.08039282628632119, -0.023485197834188825, 0.0005774649566617505, 0.03268725231514666, -0.006436881187757285, -0.16672213007856546, 0.3422197906284368, -0.038469847996221405, -0.24623910283091768, 0.16907348464532146, -0.11932682910741403, -0.12664214500370596, 0.1410364357529786, 0.19991253539598708, 0.17386857550270085, -0.1259741941547214, 0.1470479055875832, -0.13171047388158483, 0.21154370984255239, 0.08485110884468103, -0.025860034603753995, 0.12966937950715937, 0.08593345521788659, 0.15374382658347743, 0.19557436433588637, -0.03867522034601405, -0.04314889643212844, -0.28962544592675465, -0.1646955239161014, -0.22693532274971748, -0.006937784299099866, -0.1610853923080742, -0.23201151702408518, 0.3814965173409417, 0.14269928086613273, 0.1238198865461966, 0.15817519980844047, 0.3011481876260248, 0.06263121266463964, 0.0786371694331796, 0.19163323902717694, 0.19091792054602813, 0.14374617149989152, 0.01898695259547696, -0.21953093168197263, 0.04215425569242958, 0.15214947127769218] |
708.3948 | The conjunction fallacy and interference effects | In the present article we consider the conjunction fallacy, a well known
cognitive heuristic experimentally tested in cognitive science, which occurs
for intuitive judgments in situations of bounded rationality. We show that the
quantum formalism can be used to describe in a very simple way this fallacy in
terms of interference effect. We evidence that the quantum formalism leads
quite naturally to violations of Bayes' rule when considering the estimated
probability of the conjunction of two events. By defining the concept of
maximal conjunction error, we find a good agreement with experimental results.
Thus we suggest that in cognitive science the formalism of quantum mechanics
can be used to describe a \textit{quantum regime}, the bounded-rationality
regime, where the cognitive heuristics are valid.
| physics.gen-ph | in the present article we consider the conjunction fallacy a well known cognitive heuristic experimentally tested in cognitive science which occurs for intuitive judgments in situations of bounded rationality we show that the quantum formalism can be used to describe in a very simple way this fallacy in terms of interference effect we evidence that the quantum formalism leads quite naturally to violations of bayes rule when considering the estimated probability of the conjunction of two events by defining the concept of maximal conjunction error we find a good agreement with experimental results thus we suggest that in cognitive science the formalism of quantum mechanics can be used to describe a textitquantum regime the boundedrationality regime where the cognitive heuristics are valid | [['in', 'the', 'present', 'article', 'we', 'consider', 'the', 'conjunction', 'fallacy', 'a', 'well', 'known', 'cognitive', 'heuristic', 'experimentally', 'tested', 'in', 'cognitive', 'science', 'which', 'occurs', 'for', 'intuitive', 'judgments', 'in', 'situations', 'of', 'bounded', 'rationality', 'we', 'show', 'that', 'the', 'quantum', 'formalism', 'can', 'be', 'used', 'to', 'describe', 'in', 'a', 'very', 'simple', 'way', 'this', 'fallacy', 'in', 'terms', 'of', 'interference', 'effect', 'we', 'evidence', 'that', 'the', 'quantum', 'formalism', 'leads', 'quite', 'naturally', 'to', 'violations', 'of', 'bayes', 'rule', 'when', 'considering', 'the', 'estimated', 'probability', 'of', 'the', 'conjunction', 'of', 'two', 'events', 'by', 'defining', 'the', 'concept', 'of', 'maximal', 'conjunction', 'error', 'we', 'find', 'a', 'good', 'agreement', 'with', 'experimental', 'results', 'thus', 'we', 'suggest', 'that', 'in', 'cognitive', 'science', 'the', 'formalism', 'of', 'quantum', 'mechanics', 'can', 'be', 'used', 'to', 'describe', 'a', 'textitquantum', 'regime', 'the', 'boundedrationality', 'regime', 'where', 'the', 'cognitive', 'heuristics', 'are', 'valid']] | [-0.10524581707384223, 0.09089602917417518, -0.11598617518053497, 0.13839208048321766, -0.0747499609190482, -0.14887949546463178, 0.08506516687530016, 0.3578011375016029, -0.24553204001095452, -0.2956729754423875, 0.015787995970983546, -0.19600696699525855, -0.2376731871856285, 0.20807687792217083, -0.1190215455154415, 0.032895068473900196, 0.06677101986467472, 0.052667956043523353, -0.047047105448446466, -0.2035854403788346, 0.2794928836682048, 0.062266127573761355, 0.3013831501078532, 0.064614171040107, 0.07678507772259048, -0.0002482966931401294, 0.005067430974793483, 0.07686854579073728, -0.12408440714585356, 0.1106279925443232, 0.34724023548092264, 0.16811011448410934, 0.2780477566354465, -0.43657077432869645, -0.21863824049713182, 0.07301508977753492, 0.13704727397330838, 0.11988182222665303, -0.017161918208613746, -0.2880873549653248, 0.05135753075544509, -0.21346478026215232, -0.12814298163351343, -0.0786299737615007, -0.05119580348102437, -0.019444335626102375, -0.27356276942081137, 0.0697637240165753, 0.05882544377456098, 0.04637985483392096, -0.02426364377797505, -0.07564044985004136, 0.08391636110208624, 0.10084973599644355, 0.022306249388226417, 0.01626300950702585, 0.11485379783161839, -0.12267732129004769, -0.1960642467039164, 0.40637931617007395, -0.032343745136206026, -0.18500306435906497, 0.1676195977736631, -0.13223220638884994, -0.15431460575200617, 0.02855040664025048, 0.13266599327936524, 0.07803638574484063, -0.1467592662920055, 0.07490781955344633, -0.040326357011866494, 0.12914052155235264, 0.04901984352313104, 0.049514162662803084, 0.18343316338437257, 0.1275126171111297, 0.0011448125339678077, 0.1410391736435933, -0.05820074989689422, -0.1524837065257178, -0.33675087990189645, -0.14119443425952938, -0.1748922843577676, 0.04855605191169459, -0.04650366350199233, -0.11792717721374309, 0.340036534482888, 0.2039910889322274, 0.17203188885278145, 0.08151098398861979, 0.2681802379532305, 0.13950894045219833, 0.030909318183014383, 0.036510711907958765, 0.26885468811254765, 0.10135292794105032, 0.0699308000268323, -0.21301931488808612, 0.10529373484266707, 0.0007116760123190929] |
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